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3 years ago

D = a - b - c solve for b

Mathematics

1 answer:

enot [183]3 years ago

5 0

To isolate b, add a and subtract c to the entire equation:

D - a + c = -b

Muliply b by -1 to eliminate the negative:

-D + a - c = b

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DETERMINE THE MISSING SIDE

MissTica

Answer:

21 in

Step-by-step explanation:

by the Pythagorean theorem we have

$841=400+x^2\\\\x^2=441\\\\x=21$

notice that the 841 and the 400 don't go squared because they already squared!

8 0

2 years ago

Need to find volume, step by step explanation pls

worty [1.4K]

Given:

A figure of combination of hemisphere, cylinder and cone.

Radius of hemisphere, cylinder and cone = 6 units.

Height of cylinder = 12 units

Slant height of cone = 10 units.

To find:

The volume of the given figure.

Solution:

Volume of hemisphere is:

$V_1=\dfrac{2}{3}\pi r^3$

Where, r is the radius of the hemisphere.

$V_1=\dfrac{2}{3}(3.14)(6)^3$

$V_1=\dfrac{6.28}{3}(216)$

$V_1=452.16$

Volume of cylinder is:

$V_2=\pi r^2h$

Where, r is the radius of the cylinder and h is the height of the cylinder.

$V_2=(3.14)(6)^2(12)$

$V_2=(3.14)(36)(12)$

$V_2=1356.48$

We know that,

$l^2=r^2+h^2$ [Pythagoras theorem]

Where, l is length, r is the radius and h is the height of the cone.

$(10)^2=(6)^2+h^2$

$100-36=h^2$

$\sqrt{64}=h$

$8=h$

Volume of cone is:

$V_3=\dfrac{1}{3}\pi r^2h$

Where, r is the radius of the cone and h is the height of the cone.

$V_3=\dfrac{1}{3}(3.14)(6)^2(8)$

$V_3=\dfrac{25.12}{3}(36)$

$V_3=301.44$

Now, the volume of the combined figure is:

$V=V_1+V_2+V_3$

$V=452.16+1356.48+301.44$

$V=2110.08$

Therefore, the volume of the given figure is 2110.08 cubic units.

7 0

2 years ago

The value of U.S exports to China increased from $1480 million in 2011 to $2768 million in 2012. What was the percentage increas

loris [4]

Answer: Percentage increase is 87.02%.

Explanation: Percentage increase is calculated by subtracting the value in 2012 from the value of exports in 2011 and then dividing it by the value in year 2011.

a. Subtract value in 2012 from value in 2011

b. Divide the answer in part a by value in 2011.

c. Multiply the answer in part b by 100.

We have the percentage increase.

mark brainliest pls

8 0

2 years ago

Find the total area the regular pyramid. T. A. =

alexira [117]

The answer would be A = 54raiz (3) + 18raiz (91)
Formula:
A = Ab + Al Where, Ab=base area A= lateral area

The area of the base is: Ab = (3/2) * (L ^ 2) * (root (3)) Where, L= side of the hexagon. Substitute: Ab = (3/2) * (6 ^ 2) * (root (3)) Ab = (3/2) * (36) * (root (3)) Ab = 54raiz (3)

The lateral area is: Al = (6) * (1/2) * (b) * (h) Where, b= base of the triangle h= height of the triangle Substitute: Al = (6) * (1/2) * (6) * (root ((8) ^ 2 + ((root (3) / 2) * (6)) ^ 2)) Al = 18 * (root (64 + 27)) Al = 18raiz (91)

The total area is: A = 54raiz (3) + 18raiz (91)

6 0

3 years ago

Read 2 more answers

1. Michael DeBakey is an important Texan. What is his contribution and what did he do that was important? Did he invent anything

Jobisdone [24]

Answer:

n 1932 DeBakey devised the “roller pump,” an essential component of the heart-lung machine that permitted open-heart surgery. He also developed an efficient method of correcting aortic aneurysms by grafting frozen blood vessels to replace diseased vessels.

Works written: The New Living Heart

Born: September 7, 1908, Lake Charles

Died: July 11, 2008

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers