what is the correct answer​

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Answer:

x + y = 60

Step-by-step explanation:

[tex]2x + 2y + 60 = 180 \\ 2x + 2y = 180 - 60 \\ 2x + 2y = 120 \\ \frac{2x + 2y}{2} = \frac{120}{2} \\ x + y = 60 \\ [/tex]

Answer:

Step-by-step explanation:

sin A = [tex]\frac{opposite side}{Hypotenuse}[/tex]

Sin 29 = [tex]\frac{y}{500}[/tex]

0.4848 * 500 = y

y = 242.4 ft

Answer:

Y=242.4

Step-by-step explanation:

due to the association property the angle at the bottom left is 29 degrees

since sine property is oposite over hypothesis we get

sine(29)=y/500

500sin(29)=y

Y=242.4

Answer:

$31.85

Step-by-step explanation:

total cost of the rafters  = total length of rafters used x cost per foot

total length of rafters used = number of rafters used x length of rafters

7 x [tex]6\frac{1}{2}[/tex]

to solve, convert [tex]6\frac{1}{2}[/tex] to an improper fraction

to convert to improper fraction, take the following steps :  

1. Multiply the whole number  by the denominator

2. Add the numerator to the answer gotten in the previous step

3. divide the number gotten in the previous step by the denominator  

7 x [tex]\frac{13}{2}[/tex] = [tex]\frac{91}{2}[/tex]

cost per foot = 70 cents

100 cents = 1 dollar

70 cents = $0.70

total cost of rafters = $0.70 x [tex]\frac{91}{2}[/tex] = $31.85

Answer:

1/6

Step-by-step explanation:

A dies has six sides

1,2,3,4,5,6

There is 1 three

P(3) = number of threes/ total numbers

      = 1 / 6

Solution :

Sales Revenue

Sales                                                                                   $ 2,400,000

Less:

Sales discount                                $ 8,500

Sales returns and allowances       $ 41,000

                                                                                             $ 48,500

Net Sales                                                                              $ 2,350,500

Cost of goods sold                                                               $ 1,085,000

Gross profit                                                                            $ 1,265,500

Operating expense :

Salaries expenses                         $ 675,000

Advertising expenses                    $ 55,000

Depreciation expense                  $ 125,000

Freight expense                             $ 25000

Insurance expense                        $ 15,000

Total operating expenses                                                 $ 895,000

Operating income                                                              $ 370,500

Non operating income

Interest revenue                            $ 30,000

Rent revenue                                  $ 24,000

                                                                                           $ 54,000

Non Operating expenses  :

Interest expense                                                                 $ 70,000

Income before income tax                                                 $ 354,500

Income tax expense                                                            $ 70,000

Net income                                                                            $ 284,500

Answer:

[tex]9^{3/2}-3\times 5^0-(\dfrac{1}{81})^{-1/2}=15[/tex]

Step-by-step explanation:

The given expression is :

[tex]9^{3/2}-3\times 5^0-(\dfrac{1}{81})^{-1/2}=15[/tex]

We need to prove that LHS is equal to RHS.

Taking LHS,

[tex]=9^{3/2}-3\times 5^0-(\dfrac{1}{81})^{-1/2}[/tex]

[tex]=(3)^{2\times\dfrac{3}{2}}-3-(\dfrac{1}{9})^{2\times \dfrac{-1}{2}}\\\\=27-3-9\\\\=15\\\\=RHS[/tex]

Hence, LHS = RHS.

Answer:

$856.91  after 7 years

Step-by-step explanation:

Initial investment, P = 500

Interest rate, i = 8% (compounded once a year, i.e. annually)

Number of years, t = 7

Substitute in compound interest formula

Future value,

A = P (1 + 0.08/1) ^(1*7)

= 500 (1.08)^7

= 856.91 (to the nearest cent)

Answer:

It would be 9π

Step-by-step explanation:

(x-1)²π

(x-1)(2x-4)

Answer: conjecture

Step-by-step explanation:

A conjecture is a statement or an opinion based on logical reasoning or trivial facts that are always true. It does not require any proof.

Thus, A conjecture is a statement that you conclude to be true based on logical reasoning.

Note:

Answer:Its  the last one to the left up

Step-by-step explanation:

Answer:

78.5 square feet

option b

Step-by-step explanation:

area = pi*r^2

a = 3.14*5^2

a = 3.14*25

a = 78.5

Answer:

f⁻¹(x) = (x+1)/2

Step-by-step explanation:

Given the function f(x) = 2x - 1, we are to find its inverse;

Let y = f(x)

y = 2x - 1

Replace y with x

x = 2y - 1

Make y the subject of the formula

2y = x + 1

Divide both sides by 2

2y/2 = (x+1)/2

y = (x+1)/2

Replace y with f⁻¹(x)

f⁻¹(x) = (x+1)/2

Hence the required inverse is (x+1)/2

Answer:

D

Step-by-step explanation:

I took Edgy 2021 test

Answer:

D

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:

juice would be 1 variable and magazines would be another. u would put each variable next the things that they represent, so j for juice would be put with 3.25 because that's how much 1 bottle costs. The variable m would be with 8.5 because that's how much the magazines cost.

Answer:

[tex]a^3 + 1 = 0[/tex]

Step-by-step explanation:

We start with the equation:

[tex]a + \frac{1}{a} = 1[/tex]

We want to find the value of:

[tex]a^3 + 1 =[/tex]

We can start with our previous equation and multiply both sides by a:

[tex](a + \frac{1}{a})*a = 1*a\\a^2 + 1 = a[/tex]

Now we can rewrite our initial expression as:

[tex]a = 1 - \frac{1}{a}[/tex]

Replacing that in the right side, we get:

[tex]a^2 + 1 = a = 1 - \frac{1}{a}[/tex]

Now again, let's multiply both sides by a

[tex]a*(a^2 + 1) = a*(1 - \frac{1}{a} )\\a^3 + a = a - a/a\\a^3 + a = a - 1\\a^3 = -1\\a^3 + 1 = 0[/tex]

So we can conclude that:

[tex]a^3 + 1 = 0[/tex]

Answer:

288 pi yds^3

Step-by-step explanation:

First find the volume of the cylinder

V = pi r^2 h = pi (6^2) * 24 = pi (36)*24 =864 pi

Then find the volume of one sphere

V = 4/3 pi r^3 = 4/3 pi (6)^3 = /43 pi (216) =288 pi

There are 2 sphere so multiply by 2

288 pi *2 =576 pi

Subtract the spheres from the cylinder

864 pi - 576 pi =288 pi

Answers:

It looks like you have the correct order. To get those answers above, we simply multiply the original length by the scale factor 6.

Example: 7*6 = 42

Answer:

this two graph is not same because they have different slopes for this they are not same

Answer:

Angle F

Step-by-step explanation:

=====================================================

Explanation:

We see that angle A = angle E as shown by the arc marking. The tickmark says that side AB is the same length as side EF.

In the letter sequences "AB" and "EF", erase the first letters A and E to be left with B and F. This is one way to show how angle B pairs with angle F, and that is enough to show the two angles are congruent.

Answer:

Step-by-step explanation:

Answer:

2, 5, 6

Step-by-step explanation:

The volume of a rectangular prism is given by [tex]V=l\cdot w\cdot h[/tex], where all variables to the right are dimensions of the prism.

Therefore, we're looking for three numbers that multiply to be 60.

Since the question stipulates that no side length may be 10, we have:

[tex]2\cdot 5\cdot 6=60[/tex]

Answer:

x² + 7x + 10 = 0

Subtract 10 from both sides

x² + 7x = -10

Use half the x coefficent (7/2) as the complete the square term

(x + 7/2)² = -10 + (7/2)²

   note: the number added to "complete the square" is (7/2)² = 49/4

(x + 7/2)² = -10 + 49/4

(x + 7/2)² = 9/4

Take the square root of both sides

x + 7/2 = ±3/2

Subtract 7/2 from both sides

x = -7/2 ± 3/2

x = {-5, -2}

Answer: Hi the Range is 4

Step-by-step explanation: The range of a data set in statistics is the difference between the largest and the smallest values. While range does have different meanings within different areas of statistics and mathematics, this is its most basic definition, and is what is used by the provided calculator. Using the same example:

18, 16, 19, 15, 17

19,18,17,16,15

19-15= 4

Answer:

366

Step-by-step explanation:

A garden table and bench cost 816 when combined together

The garden table cost 84 less than the bench

Therefore the price of the bench can be calculated as follows

x + (x+84)= 816

2x+84= 816

2x= 816-84

2x= 732

Divide both sides by 2

x= 732/2

= 366

Hence the price of the bench is 366

Answer:

f(0) = g(0)

Step-by-step explanation:

The functions intersect at x =0, which means they have the same y value at x=0

f(0) = g(0)