Which addition problem is equivalent to -1.4

pychu [463]

Answer:

Solution,

Theorem:

The angle bisector theorem states that if a ray bisects an angle of a triangle,then it divides the opposite side into two segments that are proportional to other two sides.

By the theorem,

$\frac{24}{9x - 9} = \frac{32}{6x + 6} \\ or \: 24(6x + 6) = 32(9x - 9) \\ or \: 144x + 144 = 288x - 288 \\ or \: 144x - 288x = - 288 - 144 \\ or \: - 144x = - 432 \\ or \: x = \frac{ - 432}{ - 144} \\ x = 3$

hope this helps...

Good luck on your assignment..

3 0

3 years ago

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Item 16 A sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. What is the difference of the vol

Zigmanuir [339]

Answer:

$672\pi \text{ cm}^3$ .

Step-by-step explanation:

We have been given that a sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. We are asked to find the difference of the volumes of the spheres.

We will use volume formula of sphere to solve our given problem.

$\text{Volume of sphere}=\frac{4}{3}\pi r^3$ , where r is radius of sphere.

The difference of volumes would be volume of larger sphere minus volume of smaller sphere.

$\text{Difference of volumes}=\frac{4}{3}\pi(\text{8 cm})^3-\frac{4}{3}\pi(\text{2 cm})^3$

$\text{Difference of volumes}=\frac{4}{3}\pi(512)\text{ cm}^3-\frac{4}{3}\pi(8)\text{ cm}^3$

$\text{Difference of volumes}=\frac{4}{3}\pi(512-8)\text{ cm}^3$

$\text{Difference of volumes}=4\pi(168)\text{ cm}^3$

$\text{Difference of volumes}=672\pi\text{ cm}^3$

Therefore, the difference between volumes of the spheres is $672\pi \text{ cm}^3$ .

3 0

3 years ago

Eighty-eight percent of all people who try to do this ratio and proportion

Inessa [10]

Answer: 61 people have worked on this worksheet so far.

Step-by-step explanation:

Given: 80% people try to do this ratio and proportion worksheet find they need some help with the problems.

Let x be the total number of people worked on this worksheet so far.

People need some help with the problems. =80% of x = 0.80x

As per given,

0.80x=49

$\Rightarrow x=61.25\approx61$

Hence, 61 people have worked on this worksheet so far.

8 0

2 years ago

A graduated cylinder is filled with 36\pi36π36, pi cm^3 3 start superscript, 3, end superscript of liquid. The liquid is poured

lilavasa [31]

By definition, the volume of a cylinder is given by:
V = π * r ^ 2 * h
Where,
r: cylinder radius
h: height
Clearing h we have:
h = (V) / (π * r ^ 2)
Substituting values:
h = (36π) / (π * 3 ^ 2)
h = (36π) / (9π)
h = (36π) / (9π)
h = 4 cm
Answer:
The height of the liquid will be in the new cylinder about:
h = 4 cm

5 0

2 years ago

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Which numerical setup can be used to calculate the heat energy required to completely melt 100 grams?

BaLLatris [955]

Answer:

Multiplying the mass of ice by the specific latent heat of fusion of ice

Step-by-step explanation:

The heat energy required to completely melt 100 grams can be calculated by multiplying the mass of ice (100g) by the specific latent heat of fusion of ice (336J/g)

5 0

3 years ago

Which addition problem is equivalent to -1.4 - (-0.5)