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3 years ago

What is the answer? ill give brainliest

Mathematics

1 answer:

enyata [817]3 years ago

8 0

Answer:

Step-by-step explanation:

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Identify the angle type, then find the value of x

Anuta_ua [19.1K]

9514 1404 393

Answer:

acute angle
x = 25

Step-by-step explanation:

The angle shown is 75°. It is less than 90°, so is an acute angle. (The diagram is misleading in that respect.)

The two marked angles are vertical angles, so have the same measure.

3x° = 75°

x = 25 . . . . . . . . divide both sides by 3°

5 0

3 years ago

Timothy purchased a computer for $1,000.

scoundrel [369]

Answer:

This situation represents [a.) exponential decay

The rate of growth or decay, r, is equal to c.) 0.2

So the value of the computer each year is g.) 80% of the value in the previous year.

It will take [i.) 3 years for the value of the computer to reach $512.

Step-by-step explanation:

Since the value depreciates each year, it represents exponential decay.

The rate of growth or decay, r, is equal to

Depreciates 20%, so r = 0.2.

So the value of the computer each year is ... of the value in the previous year,

Depreciates 20%, so it is 100% - 20% = 80% of the value in the previous year.

It will take x years for the value of the computer to reach $512.

The value of the computer after x years is given by:

$V(x) = V(0)(1-r)^x$

In which V(0) is the initial value and r is the decay rate. So

$V(x) = 1000(1-0.2)^x$

$V(x) = 1000(0.8)^x$

We want to find x for which V(x) = 512. So

$V(x) = 1000(0.8)^x$

$512 = 1000(0.8)^x$

$(0.8)^x = \frac{512}{1000}$

$(0.8)^x = (0.512)$

Applying log to both sides:

$\log{(0.8)^x} = \log{(0.512)}$

$x\log{0.8} = \log{(0.512)}$

$x = \frac{\log{0.512}}{\log{0.8}}$

$x = 3$

So it will take 3 years.

6 0

2 years ago

what is the surface area of a triangular pyramid if the base is 12 by 12 and each triangle is 12 by 15?

8_murik_8 [283]

Answer:

504 cm squared

Step-by-step explanation:

To find the surface area, find the area of the square base and add it to the area of each triangle face.

Find the area of the base by multiplying base length by base length.

Here the base is 12 x 12 = 144.

Find the area of each triangle face by multiplying 1/2 * b*h.

Here the area is 1/2 * 12 * 15 = 90. Since there are 4 faces, the total area is 4 * 90 = 360.

Together the surface area is 360 + 144 = 504.

6 0

2 years ago

Lisa and Ann are eating a box of crackers. Lisa eats 3/6 of the box, and Ann eats 1/4 of the box. How much of the box did the tw

sasho [114]

Answer:

the girls ate $\frac{3}{4}$ of the box

Step-by-step explanation:

$\frac{3}{6} = \frac{1}{2} = \frac{2}{4} ,,,\frac{1}{4} +\frac{2}{4} =\frac{3}{4}$

7 0

2 years ago

Rectangle ABCD is the same proportion as rectangle EFGH. The perimeter of

qwelly [4]

Answer:

4in

Step-by-step explanation:

3 0

2 years ago