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3 years ago

I NEED HELP PLEASE!!!

Mathematics

1 answer:

AnnyKZ [126]3 years ago

4 0

Answer:

9-8=1 times 2 = 2

Step-by-step explanation:

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The volume of a spherical sculpture is 256 ft³. Rhianna wants to estimate the surface area of the sculpture. To do the estimate,

Brrunno [24]

Answer:

192 $ft^2$

Step-by-step explanation:

Given that

Volume of spherical sculpture = 256 ft³

$\pi$ is used as 3.

To find:

Surface area of sculpture = ?

Solution:

First of all, let us learn about the formula for Volume and Surface Area of Sphere:

1. $Volume =\frac{4}{3}\pi r^3$

2. $Surface\ Area = 4\pi r^2$

Given volume is 256 ft³.

$256 = \dfrac{4}{3}\pi r^3\\\Rightarrow 256 = \dfrac{4}{3}\times 3 r^3\\\Rightarrow 256 = 4 r^3\\\Rightarrow r^3=64\\\Rightarrow \bold{r = 4\ ft}$

Now, let us put r = 4 in the formula of Surface Area to find the value of Surface Area:

$Surface\ Area = 4\pi 4^2 = 4 \times 3 \times 16 = \bold{192\ ft^2}$

So, approximate surface area of sculpture is 192 $ft^2$ .

3 0

3 years ago

The sum of two numbers is 51. Four times the smaller number is 24 more than the larger number. What are the numbers?

KiRa [710]

The smaller number is 15 and larger number is 36.

Step-by-step explanation:

Let,

Smaller number = x

Larger number = y

According to given statement;

The sum of two numbers is 51.

x+y = 51 Eqn 1

Four times the smaller number is 24 more than the larger number.

4x = y+24

4x - 24 = y

y = 4x-24 Eqn 2

Putting value of y from Eqn 2 in Eqn 1

$x+(4x-24)=51\\x+4x-24=51\\5x=51+24\\5x=75$

Dividing both sides by 5

$\frac{5x}{5}=\frac{75}{5}\\x=15$

Putting x=15 in Eqn 2

$y=4(15)-24\\y=60-24\\y=36$

The smaller number is 15 and larger number is 36.

Keywords: linear equation, substitution

Learn more about linear equations at:

#LearnwithBrainly

5 0

3 years ago

Read 2 more answers

What is the proportional relationship show in 8 tablespoons of honey for every 10 cups of flour.

elena55 [62]

Answer:

4 : 5

Step-by-step explanation:

8 : 10

4 : 5

hope this was helpful : )

6 0

3 years ago

Write the equation of the line passing through points A (2,1) B (5,2)

musickatia [10]

Answer:

A(2,-1) B(5,1)

(y-1)=1+1)/5-2)(x-5)

y-1=2/3(x-5)

3y-3=2x-10

2x-3y-7=0

Step-by-step explanation:

3 0

2 years ago

Find the measure of

Andre45 [30]

Answer:

19 degrees.

Step-by-step explanation:

First solve the angles in the top triangle:

FHG = 180 - 135 = 45 (angles on a straight line = 180)

FGH = 180 - 105 = 75 (angles on a straight line = 180)

Using these we get HFG = 180 - 45 - 75 = 60 (angles in a triangle = 180)

Then because HFG is directly opposite DFC on the crossed lines, we know they are equal: DFC = 60

FDC = 180 - 119 = 61 (anges on a straight line = 180)

Now if we label ABC (the target angle) as x then we known ACB = 180 - 40 - x.

With this we know FCD = 180 - ACB = 180 - (180 - 40 - x) = 40 + x (angles on a straight line).

Finally using the FDC triangle we have 40 + x + 60 + 61 = 180 so x = 180 - 40 - 60 - 61 = 19 degrees.

7 0

3 years ago