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2 years ago

What is the surface area of this design?

Mathematics

1 answer:

Alja [10]2 years ago

5 0

Answer:

197

Step-by-step explanation:

$5 \times 5 \times 2 + 5 \times (5 + 9) \times \frac{1}{2} \times 2 + 5 \times 9 + 5 \times 6.4 = 197$

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An office building casts a 90 foot shadow. At the same time of day, a 5 foot woman standing near the building casts an 8 foot sh

Rainbow [258]

The building is about 56 feet tall

8 0

2 years ago

Read 2 more answers

Integrate the following. ∫<img src="https://tex.z-dn.net/?f=5x%5E%7B4%7D%20dx" id="TexFormula1" title="5x^{4} dx" alt="5x^{4} dx

Vadim26 [7]

Answer:

$\displaystyle D) {x}^{5} + \rm C$

Step-by-step explanation:

we would like to integrate the following Integral:

$\displaystyle \int 5 {x}^{4} \, dx$

well, to get the constant we can consider the following Integration rule:

$\displaystyle \int c{x} ^{n} \, dx = c\int {x}^{n} \, dx$

therefore,

$\displaystyle 5\int {x}^{4} \, dx$

recall exponent integration rule:

$\displaystyle \int {x} ^{n} \, dx = \frac{ {x}^{n + 1} }{n + 1}$

so let,

$n = 4$

Thus integrate:

$\displaystyle = 5\left( \frac{ {x}^{4+ 1} }{4 + 1} \right)$

simplify addition:

$\displaystyle = 5\left( \frac{ {x}^{5} }{5} \right)$

reduce fraction:

$\displaystyle = {x}^{5}$

finally we of course have to add the constant of integration:

$\displaystyle \boxed{ {x}^{5} + \rm C}$

hence,

our answer is D)

7 0

2 years ago

Read 2 more answers

Can you conclude from the figure that ABC is similar to DEF? Explain.

pishuonlain [190]

Answer:

Yes, we can conclude that Triangle ABC is similar to triangle DEF because the measures of the 3 angles of both triangles are congruent.

Step-by-step explanation:

We have the measure of 2 angles from both triangles, and we know that triangles have 180°, so we can solve for the measure of the third angle for both triangles.

Triangle ABC:

Measure of angle A= 60°

Measure of angle C= 40°

Measure of angle B = 180°- (measure of angle A + measure of angle C) = 180° - (60° + 40°) = 80°

Triangle DEF

Measure of angle E= 80°

Measure of angle F= 40°

Measure of angle D= 180° - (measure of angle E + measure of angle F) = 180° - (80° + 40°) = 60°

The measures of the angles in Triangle ABC are: 60°, 40°, and 80°.

The measures of the angles in Triangle DEF are: 60°, 40°, and 80°.

Since the measure of 3 angles of the two triangles are the same, we know that the two triangles are similar.

8 0

2 years ago

Which expression could help you find the distance between (10, 4) and (–6, 4)?

jok3333 [9.3K]

Answer:

Step-by-step explanation:

the expression could help you find the distance between A(x; y) and B(x',y')is:

AB = √((x-x')²+(y-y')²)

in this exercise : x = 10

x' = - 6

y =4

y' = 4

cotninue ..................................

6 0

3 years ago

Mia currently has 10 email subscribers to her blog and gains an average of 10 new subscribers per day. Julie currently has 100 e

user100 [1]

Answer:

Equations:

Mia: 10 + 10x = y

Julie: 100 - 5x = y

Solved: (6, 70)

Step-by-step explanation:

Mia: 10 + 10x = y

She already has 10 (10) and gains 10 (+10) per day (x). Total is y gained.

Julie: 100 - 5x = y

She already has 100 (100) and loses 5 (-5) per day (x). Total is y gained.

Then I simply solve

10 + 10x = y

100 - 5x = y

Resulting in (6, 70)

6 0

2 years ago