The height of BC is calculated from the knowledge of similar triangles to be 2.76 m
What are similar triangles?This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent
Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions
Examining the figure shows that pair of equivalent sides are
AE and DE, AC and BC.
The solution is worked out using the proportion as follows
AE / DE = AC / BC
5 / 0.92 = (5 + 10) / BC
5 * BC = 0.92 * 15
BC = 2.76 m
hence BC = 2.76 m
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A mountain is 12,130 feet high. How high is that in miles? (There are 5,280 feet in a mile.)
Answer :2.3 miles
Step-by-step explanation
12130/5280= 2.3 miles
How many square inches larger is the area of ABC then CDE shown in the figure 
On solving the provided question, we can say that Area of the triangle is = 1/2 X B X H = 1/2 X 10 X 25 = 125sq units
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
here,
in triangle ABC and CDE
base = 25
height = 10
Area of the triangle is = 1/2 X B X H = 1/2 X 10 X 25 = 125sq units
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A is (-8, -1), B is (-4, 1) and C is (12, 9)
a) Find the equation of the straight line joining A to B.
b) Find the equation of the straight line joining B to C.
The equation of the straight line joining A to B and the equation of the straight line joining B to C is y = 1/2x +3
What are the equations of the straight line?a ) The point A = [tex](x_1, y_1)[/tex] = (-8, -1)
The point B = [tex](x_2, y_2)[/tex] = (-4, 1)
The slope m is given by,[tex]m =\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\\\m=\frac{2}{4} \\\\m= \frac{1}{2}[/tex]
The slope - intercept form of an equation of a line is given by,y = mx +b --- (1)
Here, m = slope = 1/2 and b = y- intercept .Substituting the values of m and the point A = (-8, -1) in (1)-1 = 1/2 (-8) +b
b = 4- 1
b = 3
So, the y- intercept , b is 3.
Substituting the values of m and b in (1)y = 1/2x +3
The equation of the straight line joining A to B is y = 1/2x +3
b) The point B = [tex](x_1, y_1)[/tex] = (-4, 1)
The point C = [tex](x_2, y_2)[/tex] = (12, 9)
The slope m is given by,[tex]m =\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\\\m=\frac{8}{16} \\\\m= \frac{1}{2}[/tex]
The slope - intercept form of an equation of a line is given by,y = mx +b --- (1)
Here, m = slope = 1/2 and b = y- intercept .Substituting the values of m and the point B = (-4, 1) in (1)1 = 1/2 (-4) +b
b = 2 + 1
b = 3
So, the y- intercept , b is 3.
Substituting the values of m and b in (1)y = 1/2x +3
The equation of the straight line joining B to C is y = 1/2x +3
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what is 22 x 47,389???
22 x 47,389 = 1,042,558
please give brainliest
Angles M and N are complementary, if the measure of angle N = 41 , then find the measure of angle M
Answer:
M=49
Step-by-step explanation:
Complementary angles are angles that add up to 90 degrees
To find angle M, we can simple do 90-4190 - 41= 49Angle M is 49 degrees
What is the slope of the line?
m=?
Answer:
m=1/3
Step-by-step explanation:
slope is rise over run
go up 1 over 3
A a bank loaned out $17,500 part of it at the rate of 10% annual interest and the rest at 4% annual interest. The total for both loans was $970. How much was loaned at each rate
Answer: x = 9500
Step-by-step explanation:
Ok, so we know the bank loaned part of the $17,500 at a 4% interest rate. Lets call this loan amount x. Then the rest of the 17,500 was loaned at a 9% interest rate. Whatever this amount was, we can define it as 17,500 - x. We also know that the total interest earned was $1,100. With this information, we can form the following equation:
.04(x) + .09(17500 - x) = 1100
Multiply the .09 times the inside of the parentheses:
.04x + 1575 - .09x = 1100
Simplify:
-.05x + 1575 = 1100
-.05x = -475
x = 9500
Since x is originally the amount loaned at the 4% interest rate, we know that $9,500 was loaned at a 4% interest rate.
To figure out the other amount loaned at 9%, simply subtract 9,500 from 17,500 -- this gets us 8,000. So $8,000 was loaned at a 9% interest rate.
T/F A second independent variable has been added to a multiple regression model. when the first simple linear regression model was run, that independent variable was found to be significant. since this variable was proven to be significant in the simple linear model, it will definitely remain significant once an additional independent variables added.
Adding an additional independent variable to a multiple regression model does not guarantee that the original independent variable will remain significant
Adding an additional independent variable to a multiple regression model does not guarantee that the original independent variable will remain significant. This is because the effect of the original variable may be partially or completely outweighed by the effects of the new variable. For example, if the original variable is correlated with the new variable, the significance of the original variable may be reduced, as the new variable may capture the majority of the variance in the data. Additionally, if the new variable is correlated with the outcome variable, then it may have a stronger effect on the outcome than the original variable, thus reducing its significance. Therefore, it is important to always re-run the regression model once a new variable has been added to ensure that the original variable still has a significant effect.
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find the value of x in the given right triangle
Answer:
what triangle
Step-by-step explanation:
Leila took a nap. She fell asleep at 11:40 AM and she woke up at 2: 13 PM. How long did she sleep?
Answer:
2 hours 33 mins
Step-by-step explanation:
Answer: 2 Hours and 47 minutes
Step-by-step explanation:
if 4,500 people were surveyed, how many people felt that traffic improved in there area.
The number of people who felt that traffic improved in there area will be 1800.
How to calculate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
From the information, 2/5 felt that traffic improved in there area. If 4,500 people were surveyed, the number of people who felt that traffic improved in there area will be:
= 2/5 × 4500
= 1800
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In an area, 2/5 felt that traffic improved in there area. If 4,500 people were surveyed, how many people felt that traffic improved in there area.
use a net to find the surface area of the rectangular prism 10ft 5ft 1ft
PLS HELP ME ☝️ 35
points! :(
Answer:
You need 130ft² of net to cover the surface area of the rectangular prism.
Step-by-step explanation:
1. find smallest sides surface:
S1=ab
S1=5*1=5ft²
There are two sides so 2*5=10ft²
2. find middle sized sides surface:
S2=cb
S2=10*1=10ft²
There are two sides so 2*10=20ft²
3. find biggest sides surface:
S3=ca
S3=5*10=50ft²
There are two sides so 2*50=100ft²
4. Sum up all the sides:
S=2ab+2cb+2ac
S=10+20+100=130ft²
Answer:r:
Surface Area: 130ft
Step-by-Step explanation:
Width: 5 ft
Height: 1 ft
Length: 10 ft
Formula: 2(wl+hl+hw)
2(1·10+5·10+5·1)=130
Calculate the percent change in population size for each century, beginning with the
year 1500. The first calculation is completed below. Show your math, then write your
answers into the data table above.
From 1400 to 1500:
100,000,000 ÷ 350,000,000 = 0.29 (rounded to the nearest hundredth)
0.29 x 100 = 29%
The percentage change in the population from 1400 to 1500 will be 7.14%
How to calculate the percentage?A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.
The percentage change in the population from 1400 to 1500 will be:
= (1500 - 1400) / 1400 × 100
= 100/1400 × 100.
= 7.14%
Therefore, it can be seen that based on the calculation above, the percentage change will be 7.14%.
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Function A and Function B are linear functions.
Function A Function B
X Y
3 11
9 23
10 25
Which statement is true?
The y-value of Function A when x=-4 is greater than the y-value of Function B when x=-4.
The y-value of Function A when x=-4 is less than the y-value of Function B when x=-4.
The statement which is true is that: B. the y-value of Function A when x = -4 is less than the y-value of Function B when x = -4.
How to determine the true statement?First of all, we would determine a linear equation that represents Function B by determining its slope using the point-slope form as follows;
y - y₁ = m(x - x₁)
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Substituting the given parameters into the point-slope formula, we have the following;
y - 11 = (23 - 11)/(9 - 3)(x - 3)
y - 11 = 12/6(x - 3)
y - 11 = 2(x - 3)
y - 11 = 2x - 6
y = 2x - 6 + 11
y = 2x + 5
Next, we would evaluate both Function A and Function B as follows:
y = x - 4
y = -4 - 4
y = -8.
Function B:y = 2x + 5
y = 2(-4) + 5
y = -8 + 5
y = -3.
Therefore, the output value (y-value or range) of Function A is lesser than that Function B.
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Which linear graph represents a proportional relationship? A graph of a straight line that passes through the points 0 comma 1 and 3 comma 0. A graph of a straight line that passes through the points 0 comma 0 and 1 comma 2. A graph of a straight line that passes through the points 0 comma negative 4 and 1 comma negative 4. A graph of a straight line that passes through the points 1 comma 0 and 1 comma 1.
A linear graph represents a proportional relationship include the following: C. A graph of a straight line that passes through the points 0 comma negative 4 and 1 comma negative 4.
What is a graph?In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate respectively.
Generally speaking, the graph of any proportional relationship is always characterized by a straight line with the data points starting from the origin (0, 0) and passes through other unique data points on the cartesian coordinate.
In this scenario, a graph of a straight line that passes through the data points (0, -4) and (1, -4) represents a proportional relationship because it would go through the origin (0, 0).
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A linear graph represents a proportional relationship include the following: C. A graph of a straight line that passes through the points 0 comma negative 4 and 1 comma negative 4.
What is a graph?
In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate respectively.
Generally speaking, the graph of any proportional relationship is always characterized by a straight line with the data points starting from the origin (0, 0) and passes through other unique data points on the cartesian coordinate.
In this scenario, a graph of a straight line that passes through the data points (0, -4) and (1, -4) represents a proportional relationship because it would go through the origin (0, 0).
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alyssa picked 5.39 pounds of blueberries she used 0.3 of those blueberries to make a pie, how many pounds did alyssa use
URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100
POINTS!!!
The length of 'Added metal bar' will be;
⇒ Approximately 5.4 m
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
The sides of box are;
⇒ a = 4 meters
⇒ b = 2 meters
⇒ c = 3 meters
Now,
Let the length of Added metal bar = d
By the formula of 3D Pythagoras theorem, we get;
⇒ d² = a² + b² + c²
⇒ d² = 4² + 2² + 3²
⇒ d² = 16 + 4 + 9
⇒ d² = 29
⇒ d = √29
⇒ d = 5.38
⇒ d = 5.4 meters
Thus, The length of ''Added metal bar'' is ''Approximately 5.4 m''.
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A linear function is represented on the coordinate grid.
Y; 0. 5. X; 8. negative 2.
What is the y-intercept of the graph of this function?
A
5
B
6
C
negative seven over eight.
D
negative eight over seven.
The y intercept of the linear equation is 4
How to identify the y intercept of the linear equationThe y intercept is identified by first finding the equation of the line and substituting x = 0 in to the equation
The slope, m of the linear function is calculated using the points (-2, 5) and (8, 0)
m = (y₀ - y₁) / (x₀ - x₁)
m = (5 - 0) / (-2 - 8)
m = (5) / (-10)
m = -1/2
equation passing through point (8, 0)
(y - y₁) = m (x - x₁)
y - 0 = -1/2 (x - 8)
y = -1/2 x + 4
the y intercept is calculated at x = 0
y = -1/2 x + 4
y = -1/2 (0) + 4
y = 4
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...is available only in ms excel?
1-Status bar
2-formula bar
3-title bar
4-all of the above .
Office programs' status bar, which is located at the bottom, shows the status of any options that have been chosen to appear there.
What are the bars available in Excel?Office programs' status bar, which is located at the bottom, shows the status of any options that have been chosen to appear there.By default, a lot of choices are chosen.Right-click the status bar and select the choices you desire if you want to change it.The Quick Access Toolbar is a toolbar for Excel.Users may simply store and access key shortcuts thanks to this feature.(read more) is displayed to give users access to different commands for carrying out the actions.A choice to add or remove commands from it is also given so that you can rapidly access them.At the bottom of the Excel window, there is a narrow bar called the status bar.To learn more about Excel refer
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Ya really need help!!!
The another way to represent the same line is y=-(3/2)x + 2
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
3x+2y=4
Move x term to the right side
2y=4-3x
divide both sides by 2
y=4/2 - (3/2)x
=> y=2-(3/2)x
=> y=-(3/2)x + 2
So, the another way to represent the same line is y=-(3/2)x + 2
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You receive your midterm exam scores for four classes. In all four classes, your midterm score was X = 70. Below is the mean and standard deviation for each of your classes. Compute the zscore for each midterm exam score and summarize in words how you performed relative to other students in the class. a. Class 1: μ = 70 and σ = 10 b. Class 2: μ = 50 and σ = 20 c. Class 1: μ = 80 and σ = 5 d. Class 1: μ = 80 and σ = 20
The z-score, also known as the standard score, tells us how many standard deviations an individual data point is from the mean of the data set.
What is an illustration of statistics ?
A statistic is a numerical expression of a sample characteristic. The average amount of points obtained by students in one math class at the conclusion of the term, for instance, is an example of a statistic if we see that class as a sample of the population of all math classes.
For Class 1, where the mean is 70 and the standard deviation is 10, the z-score for your midterm score of X = 70 is (70-70)/10 = 0. This means that your score is exactly at the mean and the same as other students in the class.
For Class 2, where the mean is 50 and the standard deviation is 20, the z-score for your midterm score of X = 70 is (70-50)/20 = 1. This means that your score is one standard deviation above the mean and better than most of the students in the class.
For Class 3, where the mean is 80 and the standard deviation is 5, the z-score for your midterm score of X = 70 is (70-80)/5 = -2. This means that your score is two standard deviations below the mean and worse than most of the students in the class.
For Class 4, where the mean is 80 and the standard deviation is 20, the z-score for your midterm score of X = 70 is (70-80)/20 = -0.5. This means that your score is half a standard deviation below the mean and worse than some of the students in the class but better than others.
Overall, from the z-scores, in class 1 and class 4, you have scored at the mean, in class 2 you have scored better than most of the students in the class and in class 3 you have scored worse than most of the students in the class.
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if 2^4x = 16, then x = ?
Answer:
x = 1
Step-by-step explanation:
if 2^4x = 16, then x = ?
2^4x = 16
2^4x - 16 = 0
(16) ⋅ x + (−16) = 0
x = [- (- 16)] : 16
x = 1
Answer: The value of x is 1.
Step-by-step explanation: solution :
Here,
2^4x = 16
or, 2^4x = 2^4 (we should factor 16 by 2)
or, 4x = 4 (Here coefficient 2 is same. so, we shouldn't write it)
or, x = 4 ÷ 4
or, x = 1
Therefore, the value of x is 1.
Simplify the expression x^-2/y^4
The simplified expression would be [tex]\frac{1}{x^2y^4}[/tex].
What is an expression?
In mathematics, an expression is a combination of numbers, variables, and operators. Expressions can be simplified, evaluated or manipulated to solve problems or explore mathematical concepts. Expressions can be represented using algebraic notation, where variables are represented by letters and numbers, and operators are represented by symbols such as +, -, *, and /.
For example, 2x+3, 5y-7z, and 7+2x+3y/4 are all examples of expressions.
[tex]\frac{x^{-2}}{y^4}[/tex] can be simplified as [tex]x^{-2} * y^{-4}[/tex].
Then the resulting expression is
[tex]=x^{-2} * y^{-4} \\\\= \frac{1}{x^2} * \frac{1}{y^4} \\\\= \frac{1}{x^2y^4}[/tex]
Hence, the simplified expression would be [tex]\frac{1}{x^2y^4}[/tex].
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Find the value of x.
60
50
40
30
Answer:
x is 40.
Step-by-step explanation:
The triangle with all sides equal is an equilateral triangle, one you shouldn't be bothered about. This is because the angle of 100 has already been given. If you look at the diagram closely, you can see that the triangle in which angle x is present is an isosceles triangle. Since the top angle is already given, there is a formula to calculate the bottom angle, i.e., x.
The formula is : (180- the top angle, in this case 100) / 2
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An order of macaroni and chickpeas weighs 9 pounds and costs $21.
Macaroni: $1.50 per pound
Chickpeas: $3.00 per pound
How many pounds of macaroni and chickpeas are in this order?
The number of pounds of macaroni in the order is 4 pounds and the number of pounds of chickpeas is 5 pounds.
How to find the order ?Let x be the number of pounds of macaroni and y be the number of pounds of chickpeas. Then, we can write the following system of equations:
x + y = 9 (the total weight of macaroni and chickpeas is 9 pounds)
1.5x + 3y = 21 (the total cost of macaroni and chickpeas is $21)
To solve for x and y, we can use the first equation to eliminate one of the variables.
If we substitute y = 9 - x into the second equation, we get:
1.5x + 3(9 - x) = 21
Expanding and simplifying:
1.5x + 27 - 3x = 21
-1.5x = -6
x = 4
So, there are 4 pounds of macaroni in the order. We can use the first equation to find out that there are 9 - 4 = 5 pounds of chickpeas in the order.
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For the figure shown find m<1
The measure of angle "1" would be m∠1 = 123°.
What is an exterior angle theorem?
The exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle.
In the given figure, the measure of the exterior angle ∠1 is equal to the sum of the measures of the two non-adjacent interior angles 65° and 58°, therefore:
∠1 = 65° + 58°
∠1 = 123°
Hence, the measure of angle "1" would be m∠1 = 123°.
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HELP I NEED BRAINLIEST QUICKLY
C. I'm not sure.....
III. (246)10 into hexadecimal
F60.
246 in hexadecimal is F6. When multiplied by 10, the result is F60.
Santa over did it for the holidays, again! In the new year he decides to go on a diet and start jogging. Below is Santa's running log for the week. Running Log Day Monday Tuesday Wednesday Thursday Friday Saturday Miles 4 ‡ 3 7/8 5 1/4 ? 4 1/4 If Santa's goal is to run 20 miles for the week, How many miles did Santa run on Friday to meet his goal?
Santa ran [tex]2\frac{1}{8}[/tex] miles on Friday to meet his goal of 20 miles a week.
What is a fraction?A fraction is a part of a whole. The number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
The expression will be;
[tex]4\frac{1}{2} + 3\frac{7}{8} + 5\frac{1}{4} + 0 + x + 4\frac{1}{4} = 20[/tex]
[tex]\frac{9}{2} + \frac{31}{8} + \frac{21}{4} + 0 + x + \frac{17}{4} = 20[/tex]
Multiplying through by 8
36 + 31 + 42 + 8x + 34 = 120
143 + 8x = 160
8x = 160 - 143
8x = 17
x = 17/8
x = [tex]2\frac{1}{8}[/tex] miles
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Select the correct order of steps to match the work shown.
10 x+5=-4 x+47
14 x+5=47
14 x=42
x=3
Divide 42 by 14 .
Add 4x to the 10x
Subtract 5 from the 47.
The correct order of steps to match the work shown is Add 4x to the 10x, Subtract 5 from the 47, and Divide 42 by 14, and the value of x is 3.
What is the equation?In other terms, an Equation is a mathematical statement stating that "this is equivalent to that." It appears to be a mathematical expression on the left, an equal sign in the center, and a mathematical expression on the right.
Given:
10 x + 5 = -4 x + 47
Firstly, Add 4x to the 10x as shown below,
10 x + 4 x + 5 = 47
14x + 5 = 47
Subtract 5 from the 47,
14x = 47 - 5
14x = 42
Divide 42 by 14,
x = 42 / 14
x = 3
Thus, the value of x is 3.
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