Answer:
hii!!! z = 3, ¼
Step-by-step explanation:
Hope this helps xb
jim is six feet tall, and his shadow is $16$ feet long. the flagpole he is standing next to casts a shadow that is $72$ feet long. how tall is the flagpole, in feet?
The height of the flagpole is 27 feet.
Given,
If two triangles are similar, sides of these triangles will be proportional.
Height of the flagpole = h feet
Shadow castes by the flagpole = 72 feet
Height of the person = 6 feet
Shadow casted by the person = 16 feet
By using the property of similar triangles,
Hence, h/6 = 72/16
h = (6×72)/ 16
h = 27 feet
Therefore, The height of the flagpole is 27 feet.
Learn more about Triangles at:
https://brainly.com/question/2773823
#SPJ1
In today's recording, the first example was the function
f(x) = x² + 5x³ + 10x² + 20x + 24
After depressing our function twice and getting a quotient (depressed polynomial), which was the
resulting quadratic equation that we needed to solve?
O x²+4=0
O x²-4=0
O x² + 4x + 4 = 0
O x² + 4x = 0
An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
How can you locate a polynomial's root?Set the equation's value to zero to get the polynomial's roots. Completely factor the polynomial expression. Then, in order to find the variable, set each factor equal to zero. The formula isx^4+5x^3-10x^2-20x+24Finding polynomial roots (zeroes) is the focus of this solution.((((x4)+(5•(x3)))-(2•5x2))-20x)+24
((((x4) + 5x3) - (2•5x2)) - 20x) + 24
Find the roots (zeroes) of F(x) = x4 + 5 x 3 x 10 x 2 x 20 + 24.The Polynomial Roots Calculator is a collection of techniques for identifying x values where F(x)=0.One of the tools discussed above is the rational roots test. Only numbers x that can be written as the quotient of two integers would be considered rational roots.According to the Rational Root Theorem, P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient if a polynomial zeroes for a rational integer P/Q.The Leading Coefficient in this situation is 1 and the Trailing Constant is 24.The element(s) are: of the Trailing Constant: 1, 1, 2, 3, 4, 6, 8, 12, and 24 of the Leading Coefficient: 1.According to the Factor Theorem, if P/Q is a polynomial's root, then q*x-p can be used to divide the polynomial. Keep in mind that q and p come from P/Q in its simplest form.In our situation, this means that 4 different polynomials, including x-2, can divide x4+5x3–10x2–20x+24.To Learn more about polynomial refer to:
https://brainly.com/question/2833285
#SPJ1
7x+12=x-6 please answer
Answer:
x=-3
Step-by-step explanation:
Answer the question below
The rectangular waiting area for a popular amusement park ride is covered by a large sun canopy. The total area of the canopy, in square feet, is 100 square feet more than twice the area where guests wait.
Which equation could you use to find the area of the place where guests wait for the ride if the area of the canopy is 7,600 square feet?
The equation which can be used to find the area of the place where guests wait for the ride if the area of the canopy is 7600 square feet is:
2a+100=7600.
Given, The rectangular waiting area for a popular amusement park ride is covered by a large sun canopy.
The total area of the canopy, in square feet, is 100 square feet more than twice the area where guests wait.
let the area of the place where guests wait be represented by 'a'.
the canopy covers the area = 2a + 100
total area of the canopy = 7600
equation used to find the area of the place where guests wait for the ride if the area of the canopy is 7,600 square feet = ?
⇒ 2a + 100 = 7600
arrange the like terms.
⇒ 2a = 7600 - 100
calculate the difference.
⇒ 2a = 7500
⇒ a = 7500/2
⇒ a = 3750
Hence the area of the place where guests wait is 3750 square feet.
Learn more about Linear equations here:
brainly.com/question/26310043
#SPJ1
Ariel dropped a golf ball from her second story window. The ball starts from rest and hits the sidewalk 1.5 s later with a velocity of 14.7 m/s. Find the average acceleration of the golf ball.
The average acceleration of the golf ball as it was dropped from the second story window is 9.8m/s².
Given in the question is:
Since the ball started from rest
Initial velocity; u= 0m/s
Final velocity; v = 14.7 m/s
Time taken for the golf ball to hit the sidewalk; t = 1.5 s
Average Acceleration; g =?
To determine the average acceleration of the golf ball, we use the First Equation of Motion:
v = u + at
The Equation will be :
v = u + gt
Plug the all values in above equation:
14.7m/s = 0 + g x 1.5 s
g = 14.7 / 1.5
g = 9.8m/[tex]s^2[/tex]
Therefore, the average acceleration of the golf ball as it was dropped from the second story window is 9.8m/s².
Learn more about Equation of motion at:
https://brainly.com/question/13514745
#SPJ1
Directions: Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.Solve for x.( + 0.5) + 5.24 = = + ( + 2.2)The value of x is
1/5 (x+0.5) +5.24 = 3/2x + 7/10 (x+2.2)
First, apply the distributive property to solve the parentheses
1/5(x)+ 1/5 (0.5) +5.24 = 3/2x + 7/10(x) + 7/10 (2.2)
1/5x +0.1 +5.24 = 3/2x + 7/10 x + 1.54
Combine like terms
1/5x +5.34 = 11/5x +1.54
Move the x terms to the left side of the equation:
1/5x-11/5x = 1.54-5.34
-2x = -3.8
Divide both sides by -2
-2x/-2 = -3.8/-2
x = 1.9
Consider the function y=(x−1)2+3.(a) Give the coordinates of the vertex of the graph of the function.(b) Graph the function on a window that includes the vertex.
Given function is
[tex]y=(x-1)^2+3[/tex]The vertex of the graph is at (1,3).
the angle of depression of the light to the nearest minute is
Answer
θ = 37° 30'
Explanation:
The angle of depression has the same measure as the angle of elevation, so a trigonometric function that related the sides of the triangle and the angle of elevation θ is tangent. Then:
[tex]\text{tan }\theta\text{ =}\frac{39.57}{51.56}[/tex]Therefore, the value of θ is:
[tex]\begin{gathered} \tan \text{ }\theta\text{ = 0.7674} \\ \theta=\tan ^{-1}(0.7674) \\ \theta=37.50 \end{gathered}[/tex]So, in grades and minutes, we get:
θ = 37.50 = 37° 30'
Therefore, the angle of depression is 37° 30'
pls answer the question i need it to day 20 points
Answer:
Step-by-step explanation:
See attached worksheet
1) Which situation could the integer -50 represent?
A) An increase of $50 in a bank account
B) The temperature on a warm fall day
C) The distance driven on the way to the beach
D) A decrease of 50 employees
Write an equation that represents a horizontal stretch by a factor of 3 of the graph of g(x)=|x| .
Please help and Thank you.
h= |x/3| equation that represents a horizontal stretch by a factor of 3 of the graph of g(x)=|x| .
What is Translation?Translation is the process of reworking text from one language into another to maintain the original message and communication.
The parent function is: g(x)=|x|
we stretch the parent function y = |x| by a factor of 3.
h= |x/3|
If the constant is between 0 and 1, we get a horizontal stretch
if the constant is greater than 1, we get a horizontal compression of the function.
Hence h= |x/3| equation that represents a horizontal stretch by a factor of 3 of the graph of g(x)=|x| .
To learn more on Translation click:
https://brainly.com/question/12463306
#SPJ1
-
у
0
1
1
3
2
9
3
27
what isss 1+2
please help im so confused
Answer:
3
Step-by-step explanation:
1 + 2 = 3
please mark this answer brainliest if it helped you in any way:)
Answer:
3
Step-by-step explanation:
1 + 2 = 3
Let break it down.
Lets say you have 1 apple
Your friend has 2 apples
All together you have 1 + 1 + 1 = 3 apples
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
The correct representation of the inequality is x > 5 or –6x + 15 < 10 – 5x.
How to solve inequality?The inequality can be best represented as follows;
–3(2x – 5) < 5(2 – x)
An inequality is a mathematical expression that has the signs <, >, ≤ and ≥.
Therefore,
–3(2x – 5) < 5(2 – x)
open the brackets
- 6x + 15 < 10 - 5x
Lets solve further by subtracting 15 from both sides of the inequality.
- 6x + 15 < 10 - 5x
- 6x + 15 - 15 < 10 - 15 - 5x
- 6x < - 5 - 5x
add 5x to both sides of the inequality.
- 6x < - 5 - 5x
- 6x + 5x < - 5 - 5x + 5x
-x < - 5
divide both sides by -1
Therefore,
x > 5
learn more on inequality here: https://brainly.com/question/17086294
#SPJ1
The solution of the given inequality is x > 5 which is the correct representation of x > 5 or –6x + 15 < 10 – 5x.
The inequality is given in the question as
–3(2x – 5) < 5(2 – x)
Open the parenthesis and apply the distributive property of multiplication,
⇒ - 6x + 15 < 10 - 5x
Subtract 15 from both sides of the above inequality,
⇒ - 6x + 15 - 15 < 10 - 15 - 5x
⇒ - 6x < - 5 - 5x
Add 5x to both sides of the inequality,
⇒ - 6x + 5x < - 5 - 5x + 5x
⇒ -x < - 5
Multiply both sides by -1 and flip the sign of inequality
⇒ x > 5
Therefore, the solution of the given inequality is x > 5.
Learn more about the inequalities here:
brainly.com/question/20383699
#SPJ1
Answer the question below
A) 4/5 or 0.8
B)7
C)1/81
Whats the Point-Slope Equation for the line that goes through
(-3, 5) and (-7, 4)
Hi Can someone help this is hard?
The domain is the set of all real numbers and the range is the set of all real numbers larger than -4, so the correct option is the third one.
How to get the domain and the range?For a function y = f(x) we define the domain as the set of the x-values (horizontal axis) and the range as the set of the y-values (vertical axis).
Here we have a parabola, in this case the domain is always the set of all real numbers, and the range is all the values above or equal to the vertex (in cases like this, where the parabola opens up).
We can see that the vertex is at y = -4
So the range is.
[-4, ∞]
So the correct option is 3.
Learn more about domain and range:
https://brainly.com/question/10197594
#SPJ1
An online furniture store sells chairs and tables. Each day, the store can ship no more than 19 pieces of furniture. Write an inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint.
An inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint is (c + t) ≤ 19
In this question, we have been given the online furniture store can ship not more than 19 pieces of chairs and tables each day.
If the possible number of chairs they can ship each day is represented by c and the possible number of tables they can ship each day is represented by t, then the inequality equation can be written as
(c + t) ≤ 19
Therefore, an inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint is (c + t) ≤ 19
Learn more about an inequality here:
https://brainly.com/question/19003099
#SPJ1
What is 42/80 as a whole number ?
Answer:
it can't be in a whole number since it is a fraction and will go in decimals
Determine whether the table of values represents a linear function. If so, write the function.
PLEASE HELP!!
In a quadrilateral, two angles are x°, two angles are (3x+8)°. What is x and the measures of the angles?
Step-by-step explanation:
the sum of all angles in any quadrilateral is 360°.
so,
x + x + 3x + 8 + 3x + 8 = 360
8x + 16 = 360
8x = 344
x = 344/8 = 43°
3x + 8 = 3×43 + 8 = 129 + 8 = 137°
so, the angles are
43°
137°
43°
137°
A and B are supplementary angles. If mA = (3x - 28)° and
m/B = (x − 4)°, then find the measure of A.
Answer:
A = 131°
Step-by-step explanation:
Supplementary angles sum 180°
A + B = 180°
(3x - 28) + (x - 4) = 180
4x - 28 - 4 = 180
4x - 32 = 180
4x = 180 + 32
4x = 212
x = 212/4
x = 53
Then:
A = 3x - 28
A = 3*53 - 28
A = 159 - 28
A = 131°
B = x - 4
B = 53 - 4
B = 49°
Check:
131° + 49° = 180°
Answer:m∠A=33
Step-by-step explanation:
The ages of students at a university are normally distributed with a mean of 21. What percentage of the student body is at least 21 years old?.
Since the ages of students at a university are normally distributed with a mean of 21, the percentage of the student body that is at least 21 years old is: 50%.
What is a normal distribution?A normal distribution is also referred to as the Gaussian distribution and it can be defined as a probability distribution that is continuous and symmetrical on both sides of the mean, which indicate that all data near the mean have a higher frequency than the data that are far from the mean.
For all normal distributions, the mean is always located at the center with 50 percent (50%) or 0.5 of the distribution to either side, which is right or left of the distribution.
In this context, the percentage of student body that is at least 21 years old is represented by the percentage to the left of the normal distribution, which is 50 percent (50%):
P(x ≤ 21) = 50%
P(x ≤ 21) = 50/100
P(x ≤ 21) = 0.5.
Read more on normal distribution here: brainly.com/question/27068375
#SPJ1
y=−3x+9
3y=−9x+9 how many solutions
The system of the linear equation y = −3x + 9 and 3y = −9x + 9 are parallel to each other and represent no solution. Then the number of the solution is zero.
What is the solution to the equation?The allocation of weights to the relevant variables that produce the calculation's equilibrium is referred to as a consequence.
A connection between two or more factors results in a linear model when displayed on a graph. The variable will have a degree of one.
The linear equations are given below.
y = -3x + 9 ...1
3y = -9x + 9 ...2
Divide the equation 2 by 3, then the equation will become.
y = -3x + 3
The slope of the lines is the same but the lines are separated by a distance.
The system of the linear equation y = −3x + 9 and 3y = −9x + 9 are parallel to each other and represent no solution. Then the number of the solution is zero.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ1
Write the sentence as an equation.
y decreased by 283 is equal to 48
Answer:
y - 283 = 48
Step-by-step explanation:
y decreased by 283 means that 283 is subtracted from y. All set equal to 48.
find the 2 points if the (x,-1) which are 4 units from the pooint (3,2)
The possible coordinates of the other points are (3 + √7, -1) and (3 - √7, -1)
How to calculate the coordinates of the two points?From the question, we have
Points = (3, 2) and (x, -1)Distance = 4 unitsWhere (x, -1) represents the other points
The distance between the points is the number of units between them
It is calculated using the following distance formula
d = √[(x₁ - x₂)²+ (y₁ - y₂)²]
Where x and y represent the coordinates of the given points
Substitute the known values in d = √[(x₁ - x₂)²+ (y₁ - y₂)²]
So, we have
d = √[(3 - x)²+ (2 + 1)²]
Evaluate the expression
d = √[(3 - x)²+ 9]
Recall that d = 4
So, we have
√[(3 - x)²+ 9] = 4
Square both sides
(3 - x)²+ 9 = 16
This gives
(3 - x)² = 7
So, we have
3 - x = ±√7
Solve for x
x = 3 ± √7
Hence, the coordinates are (3 + √7, -1) and (3 - √7, -1)
Read more about distance at
brainly.com/question/28873363
#SPJ1
Find the perimeter of the polygon with the vertices J(-5, 3), K(-2, 1) and L(3, 4). Round your answer to the nearest tenth.
The perimeter of JKL is about____
units.
The perimeter of the polygon with the vertices is: 17.5 units.
How to Find the Perimeter of a Polygon?The perimeter of a polygon is the sum of all the sides of the polygon. To find the perimeter of a polygon with coordinates given for its vertices, we have to apply the distance formula to find the length between each of the vertices of the polygon.
The distance formula is d = [tex]\sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex].
Given:
J(-5, 3)
K(-2, 1)
L(3, 4)
Find JK:
JK = √[(−2−(−5))² + (1−3)²]
JK = √13
JK = 3.6 units
Find KL:
KL = √[(−2−3)² + (1−4)²]
KL = √34
KL = 5.8 units
Find JL:
JL = √[(−5−3)² + (3−4)²]
JL = √65
JL = 8.1 units
Perimeter = 3.6 + 5.8 + 8.1
Perimeter = 17.5 units.
Learn more about perimeter of polygon on:
https://brainly.com/question/3310006
#SPJ1
ickets to the zoo cost $15 for adults and $10 for children. The school has a budget of $300 for the field
trip. An equation representing the budget for the trip is 15x+10y = 300.
a. With a budget of $300, determine if 21 students and 6 adults can go to the zoo. Explain how you
know.
b. If there are four adults who need tickets, what is the maximum number of students who can go to
the zoo while staying within the school budget? Show or explain your reasoning.
c. Solve the equation15x+10y = 300 for y.
Answers: lol sorry very long answer
part a answer: Yes, because if we substitute the variables, the equation will be 15(6) + 10(21) = 300. Simplifying this will be 90 + 210 = 300. And since 90 + 210 does equal 300, 21 students and 6 adults can go to the zoo
part b answer: 24 students. Using the equation 15x + 10y = 300, we can find out the maximum number of students who can go to the zoo. First we can substitute x for 4 because that's how many adults who need the tickets. The equation will now be 15(4) + 10y = 300. Simplifying this will be 60 + 10y = 300. Now we can subtract 60 on both sides to isolate the y term. The equation will be 10y = 240. Divide each side by 10 to find out what y is and we get y = 24. So if 4 adults go the zoo, up to 24 students can go.
part c answer: y = 30 - 1.5x. To solve 15x + 10y =300, we first need to move 15x to one side of the equation. To do this we will subtract it on both sides. The equation is now 10y = 300 -15x. Then you will divide 10 on both sides to find out what y is. y = 30 - 1.5x.
an envelope contains eight bills: 22 ones, 22 fives, 22 tens, and 22 twenties. two bills are drawn at random without replacement. what is the probability that their sum is \$20$20 or more?
When two bills are drawn randomly without replacement, the probability that their sum is $20 or more is 1/2.
Given,
An envelope contains 8 bills;
Two of $1 bills, Two of $5 bills, Two of $10 bills, Two of $20 bills.
When two bills are drawn randomly without replacement, we have to find the probability that their sum is $20 or more.
Total outcomes = 2 x 2 x 2 x 2 = 16
Total possible outcomes, more than 20;
(1, 20), (20, 1), (5, 20), (20, 5), (10, 10), (20, 10), (10, 20), (20, 20) = 8 cases
That is,
The total possible outcomes is 8.
Now,
The probability of bill to be $20 or more = Possible outcome / Total outcome
Probability = 8/16 = 1/2
That is,
When two bills are drawn randomly without replacement, the probability that their sum is $20 or more is 1/2.
Learn more about probability here;
https://brainly.com/question/16673337
#SPJ1
