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uysha [10]
4 years ago
7

Find angle abc i need help please this question is for geometry

Mathematics
1 answer:
Blababa [14]4 years ago
7 0

Ok, so the set up would be 3x+8 = 5x-40. If you solve for x you can then enter it into the equation and get your answer.

So subtract 3x from 3x and 5x. That leaves you with 8 = 2x-40

Next, you add 40 to both sides leaving you with 48 = 2x

Now divide 2 from x and 48 which give x = 24

Enter the value of x into the equation 3x+8

3(24)+8

80

And because we know it is an acute angle, angle ABC = 80 degrees

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The ratio of volume of a cone and a hemisphere of same base radius and height is?
aliya0001 [1]

Answer:

1/2

Step-by-step explanation:

Since it is given that the cone and the hemisphere have the same height, and since the height of a hemisphere would be equal to its radius, the cones height must also be equal to its base radius.

With this information we can use the respective volume formulas.

Hemisphere:  \frac{2}{3}πr^3

Cone:  \frac{1}{3}πhr^2

Since h (height) = r we can say the cone volume equals:

\frac{1}{3}πr^3

Now to find the ratio we divide the cone volume equation by the hemisphere volume equation

pi and r^3 cancels out from the division and we are left with

ratio = (1/3)/(2/3)

ratio = 1/2

7 0
3 years ago
. (a + b)2 – (2a – b)
inn [45]

Answer:

(-b) is the answer.

Step-by-step explanation:

2(a-b)-(2a-b)

=2a-2b-2a+b (opening the brackets)

= -b

Hope this helps you buddy. Have a nice day^_^.

If you have doubt then you can ask in comments. I will surely answer.

3 0
3 years ago
Read 2 more answers
A rectangular building for a gym is three times as long as it is wide. Just inside the walls of the building, there is a 6ft rec
lisov135 [29]

The equation 3x² - 48x + 6856 represents the area of the gym and track together in terms of width.

<h3>What is the area of the rectangle?</h3>

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have:

A rectangular building for a gym is three times as long as it is wide. Just inside the walls of the building, there is a 6ft rectangular track along the walls of the gym and has an area of 7000ft²

Let x be the width of the rectangle.

As the area of track along the walls of the gym is 7000ft²

(x - 12)(3x - 12) = 7000

After simplifying:

3x² - 48x + 6856 = 0

Thus, the equation 3x² - 48x + 6856 represents the area of the gym and track together in terms of width.

Learn more about the rectangle here:

brainly.com/question/15019502

#SPJ1

3 0
2 years ago
Four randomly chosen Nevada students were asked how many times they drove to Arizona last year. Their replies were 4,5,6,7. The
den301095 [7]

The geometric mean of the numbers is 5.38

Given the values a, b, c and d

Geometric mean of the values will be expressed as:

GM = (abcd)^1/4

Given the values 4, 5, 6 and 7, the geometric mean will be expressed as:

GM = (4×5×6×7)^1/4

GM = (840)^1/4

GM = 5.38

Hence the geometric mean of the numbers is 5.38.

Learn more: brainly.com/question/23875011

8 0
3 years ago
PLEASE HELP 20 POINTS
atroni [7]

Answer:

that not 20 point that 10

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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