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3 years ago

Help out please thank you

Mathematics

1 answer:

Helga [31]3 years ago

3 0

Answer:

x = 26

Step-by-step explanation:

The three angles form a straight line, so they will sum to 180

4x - 8 + 34 + 76- x = 180

Combine like terms

3x+ 102 = 180

Subtract 102 from each side

3x+102-102 = 180-102

3x= 78

Divide each side by 3

3x/3 = 78/3

x = 26

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Please solve these equations much appreciated

Reptile [31]

Answer:

Part c) $V=16,500\ m^3$

Part d) $V=93,312\pi\ mm^3$ or $V=292,999.68\ mm^3$

Step-by-step explanation:

Part c) Find the volume of the inverted rectangular pyramid

The volume of the rectangular pyramid is equal to

$V=\frac{1}{3}Bh$

where

B is the area of the rectangular base

h is the height of pyramid

Find the area of the base B

$B=(60)(15)=900\ m^2$

$h=55\ m$

substitute

$V=\frac{1}{3}(900)(55)$

$V=16,500\ m^3$

Part d) Find the maximum volume of tea in the tea cup

we know that

The volume of cylinder (tea cup) is equal to

$V=\pi r^{2}h$

we have

$r=36\ mm\\h=72\ mm$

substitute

$V=\pi (36)^{2}(72)$

$V=93,312\pi\ mm^3$ -----> exact value

Find the approximate value

assume

$\pi =3.14$

$V=93,312(3.14)=292,999.68\ mm^3$

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3 years ago

What is the value of y in the equation 2(3y - 4) = 10 ? Question 1 options: 1

Andrews [41]

Y is y=3 so the awnser is y=3

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3 years ago

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1. If the length of a rectangle is 6 more than its width, and its perimeter is 48

Salsk061 [2.6K]

For this case we have that by definition, the perimeter of the rectangle is given by:

$P = 2w + 2L$

Where:

W: Is the width of the rectangle

L: is the length of the rectangle

According to the data we have:

$L = 6 + w\\P = 48$

Substituting:

$48 = 2w + 2 (6 + w)\\48 = 2w + 12 + 2w\\48 = 4w + 12\\48-12 = 4w\\36 = 4w\\w = \frac {36} {4}\\w = 9$

So, the width of the rectangle is 9 inches

$L = 6 + 9 = 15$

So, the length of the rectangle is 15 inches

Answer:

the width of the rectangle is 9 inches

the length of the rectangle is 15 inches

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3 years ago

Card drawn out of deck of 52 cards find probability of drawing a five or six

aivan3 [116]

Answer:

4 /52

Step-by-step explanation:

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3 years ago

Write the prime factorization of 10. Use exponents when appropriate and order the factors from least to greatest (for example, 2

Goryan [66]

Answer:

1,2,5,10

Step-by-step explanation:

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2 years ago

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