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jekas [21]
3 years ago
8

Step by step explanation pls (30 points!)

Mathematics
1 answer:
GarryVolchara [31]3 years ago
4 0

Answer:

40t^4

Step-by-step explanation:

I'm guessing you have to simplify the expression so...

first, on the top of the fraction there is a 5^2 which is just 25. 25*25 = 625, so the top of the fraction bar changes to 625 * t^8

The denominator is 10^3 = 1000. this changes it to 1000 * t^4

The hard part now is to simplify this. t^8 is just t*t*t*t*t*t*t*t. similarly t^4 is just t*t*t*t

Since there are 4 t's in both the numerator and denominator, this cancels it out and changes this to

\frac{625  \cdot t^4}{1000} which simplifies to \frac{5 \cdot t^4}{8}.

To get rid of the denominator, we multiply 8/8 to the fraction to get:

8(5 \cdot t^4), which if we distribute the 8 we get: 40t^4. Which is our answer!

Hope this helps!

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Answer:

Step-by-step explanation:

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3 years ago
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An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 22 feet up. The
jeka57 [31]

The ladder and the outside wall form a right triangle

The length of the ladder is 97.8 feet

<h3>How to determine the length of the ladder?</h3>

The given parameters are:

Distance (B) = 22 feet

Angle of elevation (θ) = 77 degrees

The length (L) of the ladder is calculated using the following cosine ratio

cos(θ) = B/L

So, we have:

cos(77) = 22/L

Make L the subject

L = 22/cos(77)

Evaluate the product

L = 97.8

Hence, the length of the ladder is 97.8 feet

Read more about right triangles at:

brainly.com/question/2437195

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2 years ago
Need help asapdue today at 11 am
goblinko [34]

12 ×  8 = 96        3 × 3 = 9     96 - 9 = 87

(unlucky jasmine she does not have enough paint )

8 0
3 years ago
The coordinate plane has the following points A=(2, 1), B=(5, 1), C=(7,2), and 1 point
dusya [7]

Answer:

<em>d = 3</em>

Step-by-step explanation:

Coordinate Plane

The image provided shows the four points given:

A=(2, 1), B=(5, 1), C=(7,2), D=(4,2).

It can be clearly seen the length of CD is just the difference of their x-coordinates:

CD = 7 - 4 = 3

We can also use the formula of the distance.

Given two points C(x,y) and D(w,z), the distance between them is:

d=\sqrt{(z-y)^2+(w-x)^2}

d=\sqrt{(2-2)^2+(7-4)^2}

d=\sqrt{0^2+3^2}

d=\sqrt{9}

d = 3

3 0
3 years ago
One bricklayer can build a wall in 6 hours. Another bricklayer could build the same wall in 4 hours. If they work together, how
Natasha2012 [34]

Answer:

they work together, it will take 2.4 hours to build the wall.

Step-by-step explanation:

One bricklayer can build a wall in 6 hours.

One hour work = \frac{1}{6}

Another bricklayer can build the same wall in 4 hours.

One hour work = \frac{1}{4}

They can together, how long will take them to build the wall.

Let's take "t" the time taken to build the wall.

The sum of their work rate = 1 (To build the wall)

\frac{t}{6} + \frac{t}{4} = 1

Now we have to solve this equation. Take LCD of 6 and 4.

The LCD (least common divisor) of 6 and 4 is 12.

\frac{2t + 3t}{12} = 1

5t = 12*1

5t = 12

Dividing both sides by 5, we get

t = \frac{12}{5}

t = 2.4 hours.

So, they work together, it will take 2.4 hours to build the wall.

6 0
4 years ago
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