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irinina [24]
2 years ago
13

What is the length of the base of a right triangle with an area of 15 square meters and a height of 3 meters?

Mathematics
1 answer:
Julli [10]2 years ago
8 0

The area of a right triangle is the amount of space on it

The length of the base is 10 meters

<h3>How to determine the length of the base</h3>

The given parameters are:

Area = 15 square meters

Height = 3 meters

The area of the triangle is:

Area = 0.5 * Base * Height

So, we have:

15 = 0.5 * Base * 3

Divide both sides by 0.5

30 =  Base * 3

Divide both sides by 3

10 = Base

Rewrite as:

Base = 10

Hence, the length of the base is 10 meters

Read more about areas at:

brainly.com/question/24487155

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One sphere has a radius of 3 inches and another sphere has a radius of 6 inches. The volume of the larger sphere is about how ma
NikAS [45]

Answer:

8

Step-by-step explanation:

First off, we need to recognize that the formula for the volume of a sphere is \frac{4}{3} \pi r^3.

Then, we can plug in our r values one at a time.

The volume for the sphere with a 6-inch radius is about 904.779.

The volume for the sphere with a 3-inch radius is about 113.097.

To find how much greater the larger sphere is, we simply create a ratio between the two numbers: \frac{904.779}{113.097}

Do the division to find that the volume of the larger sphere is about 8 times the volume of the smaller sphere.

8 0
2 years ago
Find the equation of the line that passes through (-1,3) and is perpendicular to 2y=x−1. Leave your answer in the form y=mx +c A
Lostsunrise [7]

Answer:

y = -2x + 1.

Step-by-step explanation:

2y = x - 1

y = 1/2y - 1/2

If line X is perpendicular to line Y (the line where y = 1/2y - 1/2), the slope will be the negative reciprocal of line Y. That means that there will be a negative sign instead of positive, and the 1/2 will be flipped to become 2/1, which is 2.

So, the slope will be -2.

We now have y = -2x + c.

To find c, simply put in -1 for x and 3 for y.

3 = -2 * -1 + c

c + 2 * 1 = 3

c + 2 = 3

c = 1

So, the equation of the line is y = -2x + 1.

Hope this helps!

8 0
3 years ago
Read 2 more answers
Devon has 14 steel balls of equal weight. If he puts 8 of them in one pan of a balance, and the rest along with a weight of 20 g
astra-53 [7]
Let n be a number of balls: n = 14

In one pan you have 8 balls: 8n
In the other pan you have the rest of balls (14 - 8 = 6) along with a <span>weight of 20 grams = 6n + 20
So the pans are balanced:
8n = 6n + 20

Now, just solve the equation:
8n - 6n = 20
2n = 20
n = 20/2
n = 10
So, you know that a ball weights 10 grams.</span>
4 0
3 years ago
Read 2 more answers
Mike leases a new pickup by paying $3500 up front and $384 a month over three years. The lease also stipulates he will be charge
yaroslaw [1]

The total cost of the lease is  $18,092.30.

<h3>What is the total cost of the lease?</h3>

The total cost of the lease is a function of the up front fee, payment per month and the total cost for miles over 36,000.

Total cost = $3500 + (384 x 12 x 3) + [0.15 x (41,122 - 36,000)]

$3500 + 13,824 + 768.30  = $18,092.30

To learn more about total cost, please check: brainly.com/question/25717996

#SPJ1

3 0
3 years ago
Consider continuous functions f, g, h, and k. Then complete the statements.
solmaris [256]

Answer:

g and g

Step-by-step explanation:

just did

4 0
3 years ago
Read 2 more answers
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