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3 years ago

What is the product?

Mathematics

2 answers:

RSB [31]3 years ago

4 0

Answer:

15a^5b^15

Step-by-step explanation:

you multiply 5 and 3 to get 15, and then when you are multiplying exponents of variables, you actually add them, so a^2 times a^3 is actually a^5, and b^7 times b^8 is b^15. Because these are all multiplied together, you get the answer of 15a^5b^15.

sukhopar [10]3 years ago

4 0

Answer:

15 a^5 b^15

Step-by-step explanation:

3 a^2 b^7 * 5a^3 b^8

We know x^y * x^z = x^(y+z)

3*5 a^(2 +3) b^(7+8)

15 a^5 b^15

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An exterior angle of a triangle measures 110°. One of the interior opposite angle measures 50°. Then the other interior opposite

saw5 [17]

Answer:

60°

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the 2 interior opposite angles.

let the other interior angle be x, the

x + 50 = 110 ( subtract 50 from both sides )

x = 60

Thus the other interior opposite angle is 60°

5 0

3 years ago

Read 2 more answers

2(f-9)=-28 f=?<br>-3(2t+3)=-21 t=?<br>

SVETLANKA909090 [29]

Answer:

1. f= 3/5

2. t= 3/5

Step-by-step explanation:

FYI you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps and it is free.

5 0

3 years ago

Read 2 more answers

Elena bought a backpacking tent to take with her on hiking trips.

Masteriza [31]

Answer:

Question 1 = c) Medium: 88 ft²

Question 2 = d) 46.7 ft³

Step-by-step explanation:

Question 1

We would be solving this question by finding the surface area of the tent. The shape of the tent is a square based pyramid.

The surface area of a square based pyramid(tent) =

a² + 2ah

Where in the diagram,

a = base length = 4 ft

h = height of the pyramid (tent ) = 9ft

Surface area = 4² + 2 × 4 × 9

= 16 + 72

= 88ft²

Therefore, the size tarp should she purchase is Medium: 88 ft²

Question 2

For question 2, from the attached diagram, we can see that the diagram is a square based pyramid.

To calculate the amount of water that would fill the square based pyramid, we would have to find the Volume of the tent(square based pyramid).

The formula for the Volume of the tent(square based pyramid) = 1/3(a²h)

Where a = base edge

h = height of the pyramid.

From the diagram,

a = base edge => 4ft.

From the question,

h = height of the tent is given as how tall the tent is = 8.75ft.

Therefore, 1/3(a²h)

1/3 × (4ft)²× 8.75ft

= 46.67ft³

Approximately = 46.7ft³

Therefore, the amount of water it would it take to fill the tent, if the tent is 8.75 ft tall is 46.7ft³

3 0

3 years ago

The table below represents a function. Which of the following equations could be its function rule?

worty [1.4K]

Answer:

$y=2x-2$ is the required equation.

Therefore, the second option is true.

Step-by-step explanation:

We know that the slope-intercept form of the line equation of a linear function is given by

$y=mx+b$

where m is the slope and b is the y-intercept

Taking two points (0, -2) and (1, 0) from the table to determine the slope using the formula

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(0,\:-2\right),\:\left(x_2,\:y_2\right)=\left(1,\:0\right)$

$m=\frac{0-\left(-2\right)}{1-0}$

$m=2$

substituting the point (0, -2) and the slope m=2 in the slope-intercept form to determine the y-intercept i.e. 'b'.

$y=mx+b$

$-2 = 2(0)+b$

$-2=0+b$

$b=-2$

Now, substituting the values of m=2 and b=-2 in the slope-intercept form to determine the equation of a linear function

$y=mx+b$

$y=2x+(-2)$

$y=2x-2$

Thus, $y=2x-2$ is the required equation.

Therefore, the second option is true.

3 0

3 years ago

2x - 3y = 1 and x + 2y = 18

Yuliya22 [10]

Answer:

x = 8 and y = 5

Step-by-step explanation:

2x - 3y = 1 --(1)

x + 2y = 18

x = 18 - 2y --(2)

sub (2) into (1):

2(18 - 2y) - 3y = 1

36 - 4y - 3y = 1

-7y = 1 -36

7y = 35

y = 5

x = 18 - 2(5) = 8

5 0

3 years ago