Answer:
[tex] \csc(θ) = \frac{1}{ \sin(θ) } [/tex]
Please help.
Is the answer ASA, SSS, AAS, or HL
Answer:
SSS
Step-by-step explanation:
We know the length of DE and JK are the same because as shown in the diagram, they are both equal to 15 cm. While we know that EF and KL are congruent because it is shown that both sides are 8 cm long. Even though we are not sure of the exact lengths of FD or LJ, we are aware that they are the same length sue to the ticks found on both sides on the triangles, indicating that they are both the same length.
Select the correct answer. Consider the graph of f(x) given below. The function g(x) is a transformation of f(x). If g(x) has a y-intercept of -2, which of the following functions could represent g(x)? A. g(x) = f(x - 5) B. g(x) = f(x) - 2 C. g(x) = f(x) - 5 D. g(x) = f(x + 2)
PLEASE OFFER ME YOUR ANSWER, I ASK OF YOU...PLS
The function that could represent g(x) is (c) g(x) = f(x) - 5
How to determine the function g(x)?The figure of the graph that completes the question is added as an attachment
From the attached graph, we have the equation of the function to be
y = f(x)
Also, the graph of the function f(x) has its intercept to be
y-intercept of f(x) = 3
From the question, we have
y-intercept of g(x) = -2
Subtract the intercepts
Difference = y-intercept of g(x) - y-intercept of f(x)
So, we have
Difference = -2 - 3
Evaluate
Difference = -5
The function g(x) is then represented as
g(x) = f(x) + Difference
So, we have
g(x) = f(x) - 5
Hence, the function g(x) is g(x) = f(x) - 5
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Question - Write an equivalent expression for -3.1 ^ 4 x * -3.1 ^ 2 x + 7
Does anyone have an expert verified answer for this?
The expression -3.1^4x * -3.1^2x + 7 has an equivalent of 887.503681x^2 + 7
How to determine the equivalent expressionFrom the question, the expression is given as
-3.1^4x * -3.1^2x + 7
Evaluate the exponents in the above expression
So, we have the following equation
-3.1^4x * -3.1^2x + 7 = 92.3521x * 9.61x + 7
Evaluate the products in the above expression
So, we have the following equation
-3.1^4x * -3.1^2x + 7 = 887.503681x^2 + 7
Hence, the equivalent expression of -3.1^4x * -3.1^2x + 7 is 887.503681x^2 + 7
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Pls Help will give brainliest
Anita earns 60 points every time she shops at a grocery store. She needs a total of 2,580 points to receive a free prize. So far, she has earned 480 points. How many more times will Anita have to shop at the grocery store in order to earn the additional points she needs for a free prize?
Answer:
35Step-by-step explanation:
So she needs 2580 points
she has already earned 480, so let's subtract that
that leaves up with 2100 more points
she earns 60 points every shop
so lets divide 2100 by 60
2100÷60=
35
Anita will have to shop at the grocery store 35 more times to earn the additional points she needs for a free prize.Answer:
43 total ,35 more times need to get 2,580
Step-by-step explanation:
2580:60=43
60x8=480
43-8=35
in Italy the leaning Tower of Pisa currently leans at 13 ft. off the vertical. the tower is 183 ft tall. what is the angle of inclination
The required inclination of the tower of Pisa as 85.95°.
Given that,
in Italy the leaning Tower of Pisa currently leans at 13 ft. off the vertical. the tower is 183 ft tall. what is the angle of inclination is to be determiend.
These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
Here,
base length is 13 ft,
Hypotenuse length of the tower = 183
According to the question,
Cosx = 13/ 183
x = 85.98°
Thus, the required inclination of the tower of pisa as 85.95°.
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PLS
Natasha has a photo of a lasagna dish she made, which she wants to post to various
websites. The original image has a width of 300 pixels and a height of 450 pixels.
Consider each set of new dimensions or scale percents that show adjustments to this
original image. Describe how the image changed and whether the new image is
similar to the original. Show your work and explain your reasoning.
New image: 35% width, 35% height
As both the width and height of the new image are 35% of the width and height of the original image, the aspect ratio is maintained and the new image is similar to the original image.
What is a Scale Factor?A scale factor is defined as the ratio of an object's original scale to that of a new one, considering the different depictions of that object (bigger or smaller)
Given:
The dimensions of the original image are a width of 300 pixels and a height of 450 pixels.
The dimensions of the New image have 35% width and 35% height.
Width = 0.35 × 300 = 105
Height = 0.35 × 450 = 157.5
Scale factor = New Dimension/Original Dimension
Scale factor of Height = 157.5/450 = 0.35
Scale factor of width = 105/300 = 0.35
Therefore, the new image is neither scaled down nor scaled up and is the same as the original image.
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is 12 an integer? Im getting confused answers
Answer:
Yes 12 is an Integer
Step-by-step explanation:
12 is a whole number that can be written without a fractional component, thus 12 is an integer.
A technical machinist is asked to build a cubical steel tank that will hold 415 L of water.Calculate in meters the smallest possible inside length of the tank. Round your answer to the nearest 0.001 m.
we have
1 cubic meter = 1000 L
x cubic meter = 415 L
then:
[tex]\begin{gathered} 1000\times x=415\times1 \\ 1000x=415 \\ \frac{1000x}{1000}=\frac{415}{1000} \\ x=0.415 \end{gathered}[/tex]The volume of a cube with length x is:
[tex]\begin{gathered} x^3=0.415 \\ \sqrt[3]{x^3}=\sqrt[3]{0.415} \\ x=0.746 \end{gathered}[/tex]answer: The smallest possible inside length of the tank is 0.746 m
Which of the following is an example of a set of like terms ??
2. >>>>>>>b {18x,-x,21x} is an example of like terms because they both hold the same variables.
4.>>>>>>
[tex] = - 7(2x - 3) \\ = - 7(2x) - 7( - 3) \\ = - 14x + 21[/tex]
ATTACHED IS THE SOLUTION
kayla has a deck that measures 4 feet by 21 feet. she wants to increase each dimension by equal lengths so that the area is doubled. how much should she increase each dimension?
Answer:
Increase by 3.
Step-by-step explanation:
4 x 21 = 84
84 x 2 = 168
Begin to try numbers.
5 x 22 = 110
6 x 23 = 138
7 x 24 = 168
7 - 4 = 3
24 - 21 = 3
Increase each side by 3 ft. for a total dimension of 7 ft. x 24 ft.
please help math is an absolute pain
Answer: 3/5 cm
Step-by-step explanation:
Let the length of the base be x. Then, using the formula for the area of a triangle,
[tex]\frac{3}{25}=\frac{1}{2} \cdot \frac{2}{5} x\\\\\frac{3}{25}=\frac{1}{5}x\\\\x=\frac{3}{5}[/tex]
Triangle XYZ with vertices X(-8, 3), Y(-6, 5), and Z(-5, -2): x = -4
Answer:
X' = (-12,3)
Y' = (-10,5)
Z' = (-9,-2)
Explaination:
Please check image
Based off the x = -4 , I think that means that our x axis is no longer x = 0 but on the x = -4 line
Ex;
if point X is 8 units to the left of x=0, now point X' should be 8 units to the left of x=-4 making point X' = (-12,3)
If 4x-y=-10 is a true equation, what would be the value of 6+4x-y
Answer:
-4
Step-by-step explanation:
6 + 4x-y = 6 + (4x-y) = 6 + (-10) = -4
Last night, Luis read 75% more pages than Dayja, and Dayja read 75% more pages than Michael. If Dayja read 84 pages, how many pages did Luis, Dayja, and Michael read all together?
Answer:
Total pages read = 279 pages
Step-by-step explanation:
Let L, D, and M stand for the pages read by Luis, Dayja, and Michael, respectively.
We learn that:
L = 1.75D, [Luis read 75% more pages than Dayja]
D = 1.75M, and [Dayja read 75% more pages than Michael]
D = 84 [Dayja read 84 pages]
We want the sum of L, D, and M
Total pages = L + D + M
We have three equations and 3 unknowns. We should be able to find a solution by rearranging and substituting.
Total pages = L + D + M
We can substitute L=1.7D and rearrange D = 1.75 M to M = D/1.75
Total pages = L + D + M
Total pages = 1.7D + D + D/1.75
Total pages = D(1.7 + 1 + 1/1.75) [Isolate the D, for optional simplification]
Total pages = D(3.271)
We know D = 84, so:
Total pages = 84(3.271)
Total pages = 274.8
We'll round that to 275 pages.
Check:
L = 1.75D: L read 1.75*275 or 147 pages
D read 84 pages
D = 1.75M, or M = D/1.75; M read 84/1.75) or 48 pages
Total pages read = 147 + 84 + 48
Total pages read = 279 pages
Simplify nine square root of two minus three square root of seven plus square root of eight minus square root of twenty eight. eleven square root of two minus five square root of seven eleven square root of four minus five square root of fourteen six square root of five six square root of nine
Squares are the numbers that are produced when a value is multiplied by itself.
If expression be [tex]$9 \sqrt{2}-3 \sqrt{7}+\sqrt{8}-\sqrt{28}$[/tex] then the value exists [tex]$11 \sqrt{2}-5 \sqrt{7}$[/tex].
What is meant by square root?The radical symbol for the number's root is "√" in this instance. The square of the positive number is represented by multiplying it by itself.
Squares are the numbers that are produced when a value is multiplied by itself. In contrast, a number's square root exists a value that, when multiplied by itself, returns the original value.
The original number can be attained by multiplying the square root of an integer by itself.
Only a perfect square number can have a perfect square root. Even perfect squares have an even square root. An odd perfect square will contain an odd square root. A perfect square cannot be negative and hence the square root of a negative number exists not defined.
Let the expression be [tex]$9 \sqrt{2}-3 \sqrt{7}+\sqrt{8}-\sqrt{28}$[/tex]
Now, [tex]$\sqrt{8}=\sqrt{2 \times 2 \times 2}=2 \sqrt{2}$[/tex]
[tex]$\sqrt{28}=\sqrt{2 \times 2 \times 7}=2 \sqrt{7}$[/tex]
therefore [tex]9 \sqrt{2}-3 \sqrt{7}+\sqrt{8}-\sqrt{28}$[/tex]
simplifying the given expression, we get
[tex]$=9 \sqrt{2}-3 \sqrt{7}+2 \sqrt{2}-2 \sqrt{7}$[/tex]
[tex]$=9 \sqrt{2}+2 \sqrt{2}-3 \sqrt{7}-2 \sqrt{7}$[/tex]
[tex]$=11 \sqrt{2}-5 \sqrt{7}$[/tex]
Therefore, the correct answer is option a) [tex]$11 \sqrt{2}-5 \sqrt{7}$[/tex]
The complete question is:
Simplify [tex]$9 \sqrt{2}-3 \sqrt{7}+\sqrt{8}-\sqrt{28}$[/tex]
a) [tex]$11 \sqrt{2}-5 \sqrt{7}$[/tex]
b) [tex]$11 \sqrt{4}-5 \sqrt{14}$[/tex]
c) [tex]$6 \sqrt{5}$[/tex]
d) [tex]$6 \sqrt{9}$[/tex]
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Stephanie has 5 pizzas. She shares 4-
of the pizzas with her friends. Estimate how much pizza Stephanie has left.
8
16
02/20
pizzas
O2 pizzas
O
01/P
pizzas
01 pizza
After subtraction we can see Stephanie has only 1 pizzas left.
What is subtraction?
The definition of subtraction is subtracting one number or amount from another. It is addition's opposite operation. Subtraction subtracts a number from another to find the difference, whereas addition adds or groups numbers to find the sum. The word "subtract" can also mean to compare two values to determine how many factors account for a value's difference from another. That is the most fundamental concept behind the term "difference" for the solution to a subtraction problem.
We are given that,
Stephanie has 5 pizzas, Also she shared 4 of the pizzas with her friends
Hence she is left with 5-4= 1 pizza
Hence Stephanie has left with 1 pizza
Therefore the correct option is option D)
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given l || m || n, find the value of x
Answer:
x = 10
Step-by-step explanation:
(5x + 3) and 53 are corresponding angles and are congruent , then
5x + 3 = 53 ( subtract 3 from both sides )
5x = 50 ( divide both sides by 5 )
x = 10
The value of 'x' is highlighted in the box
What's the number of possible outcome when a coin is tossed four times
Answer:equal
Step-by-step explanation: no number but equal as it is tossed 4 times
Answer:
16
Step-by-step explanation:
The number of possible outcomes at each coin toss = 2.
The total number of possible outcomes after 4 times = 2⁴ = 16.
Which pair of statements about the lengths of two sides of the triangle is true? 10 9 8 D (8,7) 7 л д) 4 3 2 1 X F(6, 1) 2 3 4 5 6 E (8.1) 8 9 10 1 7 O A. The side length between Dand Eis 7 units. The side length between Eand Fis 2 units. O B. The side length between D and Eis 6 units. The side length between E and Fis 2 units. O C. The side length between D and Eis 2 units. The side length between E and Fis 6 units. O D. The side length between D and Eis 8 units. The side length between Eand Fis 1 units.
Answer:
Choice B.
Explanation:
The side length is the distance between the vertices of the triangle given.
Suppose the commute times for employees of a large company follow anormal distribution. If the mean time is 24 minutes and the standarddeviation is 5 minutes, 95% of the employees will have a travel time within which range?
The empirical rule state that, for normally distributed data, almost all of the data fall within three standard deviations either side of the mean. Specifically,
-68% of data within 1 standard deviation.
-95% of data within 2 standard deviation
-99.7 of data within 3 standard deviation.
In our case the mean is
[tex]\mu=24[/tex]and the standard deviation is
[tex]\sigma=5[/tex]then, the empirical formula imply that
[tex]\begin{gathered} \mu-2\sigma=24-2\cdot5 \\ \mu-2\sigma=24-10 \\ \mu-2\sigma=14 \end{gathered}[/tex]and
[tex]\begin{gathered} \mu+2\sigma=24+2\cdot10 \\ \mu+2\sigma=24+10 \\ \mu+2\sigma=34 \end{gathered}[/tex]then, the answer is 14 minutes to 34 minutes
Answer:
D
Step-by-step explanation:
A train ticket in a certain city is 3.00. People eho use the train also have the option of purchasing a frequent rider pass for 18.75 each month. With the pass, each ticket costs only 2.25. Determine the number of times in a month the train must be used so that the total monthly cost without the pass is the same as the total monthly cost with the pass.
The number of times for which the train must be used so that the monthly cost without the pass is same as with the pass is; 6.25 times.
How to solve Word Problems using algebraic expressions.It follows from the task content that the regular train ticket costs, 3.00.
Therefore, the cost for travelling x times with the month is; 3x.
On this note, for the total monthly cost without the pass to be same as that with the pass; the equation which must hold is;
3x = 18.75
x = 18.75/3
x = 6.25 times.
Therefore, after taking the train 6.25 times, the cost without the pass is same as that with the pass.
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A bank features a savings account that has an annual percentage rate of r=2.8% with interest. compounded quarterly. Benicio deposits $8,000 into the account.
Explanation
From the given question
We are given the formula to compute the amount that a sum of $8000 compounded quarterly will yield after time t at a rate of 2.8%
The formula is given by
[tex]A(t)=a(1+\frac{r}{k})^{kt}[/tex]Part A
[tex]\begin{gathered} a=initial\text{ deposit= \$8000} \\ \\ k=number\text{ of times compounded in a year = 4} \\ \\ r=2.8\text{ \% =0.028} \\ \\ \end{gathered}[/tex]part B
the amount in the account after 7 years will be
[tex]\begin{gathered} A(t)=8000(1+\frac{0.028}{4})^{4\times7} \\ \\ A(7)=\text{ \$}9725.57\text{ } \end{gathered}[/tex]The amount that will be in the account after 7 years will be $9725.57
Part C
APY is given by
In our case we have
[tex]\begin{gathered} APY=(1+\frac{r}{k})^k-1 \\ APY=\left(1+\frac{0.028}{4}\right)^4\:-1 \\ APY=1.02829-1 \\ APY=0.02829 \end{gathered}[/tex]Hence, we will have the APY as
[tex]\begin{gathered} APY=0.02829\times100\text{ \% } \\ APY=2.829\text{ \%} \end{gathered}[/tex]Hence, the APY is 2.829%
the probability of being satisfied with a product purchased online is 0.555. if you buy 8 products online, what is the probability that you will be satisfied with 3 or more of the purchased products? (round your answer to 3 decimal places if necessary.)
The probability that you will be satisfied with 3 or more of the purchased products is 0.916
Given that,
The chance of being pleased with an internet purchase is 0.555. if you purchase 8 items online
Solution -
let X denote the no of success of
Purchased product online
X ~ B(n,p)
n = 8
P= 0. 555
a = 1 - 0 .555 = 0.445
P ( X = x) = [tex]nc_{x} b^{x} a^{n-x}[/tex]
P ( X = x)= [tex]8c_{x} (0.555^{x} )(0.445)^{8-x[/tex]
P ( X>=3)= [tex]\lim_{3 \to 8} 8c_{x} (0.555^{x} )(0.445)^{8-x[/tex]
P ( X>=3)) = 0.91614
=0.916
Therefore we can conclude the probability that you will be satisfied with 3 or more of the purchased products is 0.916
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Find the value of x in each case.
Not rlly sure how to make the equation, i tried it a couple times and got the answer wrong
Pls help and ill reward Brainly thing
Beth and 8 of her friends are going bowling Saturday. Each game cost $x plus an additional $3.25 to rent shoes. Write an expression to represent the total cost of an afternoon of bowling if four friends bring their own shoes.
Answer:
9*X+5*3.25
Step-by-step explanation:
So, total 9 person; 4 person have their own shoe.
Cost for game = 9*X;
Cost for shoe = 5*3.25;
So the total cost = 9*X+5*3.25
Please help me solve this problem
The following table justifies the reasons of each step of the solution by stating the algebraic property that is used to get to each steps
What are algebraic equations?Algebraic equations are defined as mathematical statements in which two algebraic expressions are set equal to each other. An algebraic expression usually consists of a variable, a coefficients and a constants.
Statement Reason
4.5(8-x)+36=102-2.5(3x+24) Given
4.5(8-x)=66-2.5(3x+24) Subtracting 36 from the both sides
36-4.5x=66-7.5x-60 Opening the brackets on the both sides
36-4.5x=-7.5x+6 Subtracting the constants on RHS
36+3x=6 Adding -7.5x on the both sides
3x=-30 Subtracting 36 from the both sides.
x=-10 Dividing by 3 on the both sides.
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1/4t = 1/3t + (-16)
pls solve t and show steps if possible
Answer:
t = 192
Step-by-step explanation:
1/4t = 1/3t + (-16)
1 1
-------t = -------t - 16
4 3
1(3) 1(4)
-------t = -------t - 16
4(3) 3(4)
3 4
-------t = -------t - 16
12 12
3 4
-------t = -------t - 16(12)
( 12 12 ) 12
3t = 4t - 192
-4t -4t
---------------------
-t = -192
÷-1 ÷-1
---------------
t = 192
I hope this helps!
Select all the unique triangles that can be drawn to only have angle measures 40° and 100° and side length 3.
ΔABC; AB = 3, ∠CBA = 100°, ∠CAB = 40°
ΔABC; AB = 3, ∠ABC = 100°, ∠BCA = 40°
Given,
Select all the unique triangles that can be drawn to only have angle measures 40° and 100° and side length 3.
What are unique triangles?
Unique triangles are triangles that are different based on their configuration, which derives from the positioning of the given parameters to correspond with different congruency requirement.
The conditions for the congruency of two triangles are;
SSS: The Side-Side-Side rule; two triangles are congruent if all three sides of one triangle are congruent to the three sides of the other triangle
SAS: The Side-Angle-Side rule; two triangles are congruent if two sides and the included angle of one are congruent to two sides and an included angle in the other triangle
ASA: The Angle-Side-Angle rule; two triangles are congruent if two angles and the included side of one triangle are congruent to two angles and an included side of the other triangle
SAA: The Side-Angle-Angle rule; Two triangles are congruent if two angles and an a non included side of one triangle are congruent to two angles and the non included side of the other triangle.
The configuration of the unique triangles can therefore, be ASA and SAA, which gives the triangles;
ΔABC; AB = 3, ∠CBA = 100°, ∠CAB = 40°
ΔABC; AB = 3, ∠ABC = 100°, ∠BCA = 40°
Please see attached drawings of the two unique triangles
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A triangle has sides with lengths of 30 kilometers, 35 kilometers, and 45 kilometers. Is it a right triangle?
Based on the lengths of the sides of the triangle, we can infer that this is NOT a right triangle.
How to find a right triangle?A right angled triangle would obey the Pythagoras Rule which is that the square of the hypotenuse (longest side) will be the sum of the squares of the other sides of the triangle.
This means that for this to be a right triangle, it needs to obey the function:
45 ² = 35 ² + 30 ²
Solving gives:
2,025 ≠ 2, 125
This shows that the triangle is not a right triangle.
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It is not a right-angle triangle since 2125 ≠ 2025 meant that it did not conform to Pythagoras' theorem's specifications.
This kind of query creates a right-angled triangle that Pythagoras' theorem can resolve.
What is Pythagoras' theorem?In a right-angled triangle, the square of the greatest side is equal to the sum of the squares of the smaller two sides.
Given, There are three sides to a triangle, each measuring 30 kilometers, 35 kilometers, and 45 kilometers.
∴ 30² + 35² = 45².
900 + 1225 = 2025.
2125 ≠ 2025.
Due to the fact that it didn't meet the requirements of Pythagoras' theorem, it is not a right-angle triangle.
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The rental price of a dacha was $9000. At the end of each month
the price is increased by 6%.
a) Find the price of the house after 1 month.
b) Find the price of the house after 3 months.
c) Find the price of the house after 10 months
a) The price (amount) of the house after 1 month = $9540
b) The price (amount) of the house after 3 months = $10719.14
c) The price (amount) of the house after 10 months = $16117.629
a ) How to find the rental price of the house after 1 month ?
The rental price of a dacha = Principle = $9000
Percentage increase in price = r = 6%
Number of months = n = 1
Amount of a compound interest is given by,
[tex]Amount = P(1 +\frac{r}{100} )^n\\\\=9000( 1 +\frac{6}{100}) \\\\= 9000(\frac{106}{100})\\\\= 90*106\\\\= 9540[/tex]
The rental price of the house after 1 month = $9540
b ) How to find the rental price of the house after 3 months ?
The rental price of a dacha = Principle = $9000
Percentage increase in price = r = 6%
Number of months = n = 3
Amount of a compound interest is given by,
[tex]Amount = P(1 +\frac{r}{100} )^n\\\\=9000( 1 +\frac{6}{100})^3 \\\\= 9000(\frac{106}{100})^3\\\\= 9000*(1.06)^3\\\\= 10719.14[/tex]
The rental price of the house after 3 months = $10719.14
c ) How to find the rental price of the house after 10 months ?
The rental price of a dacha =Principle = $9000
Percentage increase in price = r = 6%
Number of months = n = 10
Amount of a compound interest is given by,
[tex]Amount = P(1 +\frac{r}{100} )^n\\\\=9000( 1 +\frac{6}{100})^{10} \\\\= 9000(\frac{106}{100})^{10}\\\\= 9000*(1.06)^{10}\\\\= 9000*1.790\\\\= 16117.629[/tex]
The rental price of the house after 10 months = $16117.629
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