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3 years ago

Estimate the area of the wall

Mathematics

2 answers:

Ahat [919]3 years ago

6 0

Answer:

32 sq ft.

Step-by-step explanation:

lozanna [386]3 years ago

6 0

Answer:

yeah 32 sq ft

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What is the sum of the measures of the exterior angles of this triangle?

fgiga [73]

Answer:

360°

Step-by-step explanation:

We need only remember that the sum of the measures of the interior angles of a triangle is 180°. Angle c and 112° form a pair of "straight angles," so they add up to 180°; as a consequence, Angle c = 180° - 112°, or 68°.

With two of the interior angles now known, we can calculate the third, Angle A: It is 180° less (51° + 68°), or 180° - 119°, or 61°.

That means that the measure of Angle B is 180° - 61° = 119°

Looking at the pair C and 112°, we identify the exterior angle as 112°.

Looking at the pair A and B, or 61° and 119°, we identify the exterior angle as 119°.

Finally, looking at the pair 51° and (180° - 51°), or

51° and 129°, we identify the exterior angle as 129°.

Then the sum of the exterior angles 129° and 119° and 112° is 360°.

6 0

3 years ago

Read 2 more answers

Monthly sales of a particular personal computer are expected to decline at the following rate of S'(t) computers per month, whe

Len [333]

Answer:

$S(t) = -18t^\frac{5}{3}+2440$

Company will take approximately 14 months

Step-by-step explanation:

Given function that shows the change rate of computers,

$S'(t)=-30 t^{\frac{2}{3}}$

Where,

t = number of months

On integrating,

$\int S'(t) = -30\int t^{\frac{2}{3}} dt$

$S(t) = -30(\frac{t^{\frac{2}{3}+1}}{\frac{2}{3}+1})+C$

$S(t) = -30 (\frac{t^{\frac{2+3}{3}}}{\frac{2+3}{3}})+C$

$S(t) = -30(\frac{t^\frac{5}{3}}{\frac{5}{3}})+C$

$S(t) = -30(\frac{3t^\frac{5}{3}}{5})+C$

$S(t) =-18t^\frac{5}{3}+C$

According to the question,

S(0) = 2,440,

$\implies -18(0)^\frac{5}{3}+C=2440\implies C = 2440$

Hence, the required function,

$S(t) = -18t^\frac{5}{3}+2440$

If S(t) = 1,000,

$-18t^\frac{5}{3}+2440=1000$

$-18t^\frac{5}{3}=-1440$

$t^\frac{5}{3}=80$

$t = (80)^\frac{3}{5}\approx 13.86$

6 0

3 years ago

Write 375 as a product of it's Prime Factors Give your answer in Index form.

DedPeter [7]

<h3>375 as a product of it's Prime Factors : $375 = 3^1 \times 5^3$ </h3>

Solution:

Given that,

We have to write 375 as a product of it prime factors

Prime factorization of a number is done by breaking the given number down into the set of prime numbers which when multiplied together results in the original number

The Prime Factorization is: 3 x 5 x 5 x 5

Therefore, 375 as a product of it prime factors is:

$375 = 3 \times 5 \times 5 \times 5$

In exponential form we can write as,

$375 = 3^1 \times 5^3$

Thus 375 is written as product of its prime factors

7 0

3 years ago

A laptop has a listed price of $537.95 before tax. If the sales tax rate is 7.5%, find the total cost of the laptop with sales t

nexus9112 [7]

Answer:

$578.30

Step-by-step explanation:

537.95(.075)= 40.35

$40.35 + $537.95 = $578.30

6 0

3 years ago

List the following numbers in order from least to greatest. -9, -17, 7, 11, 26

Aliun [14]

Answer:

-17, -9, 7, 11, 26

8 0

2 years ago

Read 2 more answers