1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alexandr402 [8]
3 years ago
14

A sphere has diameter 28 cm. If the diameter is divided by 2, what is the effect on the surface area?

Mathematics
1 answer:
spayn [35]3 years ago
4 0

Answer:

The surface area is divided by 4.

Step-by-step explanation:

Surface area of a sphere is 4πr².

When the diameter is 28 the radius is 14. So: 4π(14)² = 784π

If you cut the diameter in half you get 14. The radius is now 7.

4π(7)² = 196π.

784/4 = 196 so divided by 4.

You might be interested in
If f(x) = , g(x) = 5x, and h(x) = x + 4, find each value. h[f(4)], g[h(–2)], f[g(1)]. pls write the steps. DON'T SEND A LINK OR
nadezda [96]

Answer:

Step-by-step explanation:

5 0
3 years ago
For △RST and △UVW, ∠R≅∠U, ST≅VW, and ∠S≅∠v. Explain how you can prove △RST ≅△UVW by ASA
monitta

Answer:

See explanation below.

Step-by-step explanation:

Note that in △RST and △UVW

  • m∠T=180°-m∠R-m∠S;
  • m∠W=180°-m∠U-m∠V.

Since ∠R≅∠U and ∠S≅∠V, then ∠T≅∠W.

In ΔRST and ΔUVW:

  • ∠S≅∠V (given);
  • ∠T≅∠W (proved);
  • ST≅VW (given).

ASA theorem that states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

By ASA theorem ΔRST≅ΔUVW.

6 0
3 years ago
A television screen's width is 1.778 times its height. If its
Nana76 [90]

Answer:

Let a, b, and c be the height, width, and the diagonal of the screen respectively

Since they form a triangle and the angle between a and b is 90 degrees, according to the Pythagorean Theorem a^2 + b^2 = c^2

Let's assume that the aspect ratio is 16:9. Therefore b/a = 16/9

Now we have a system of two equations with two unknowns. We need to express everything in terms of a single unknown, so let's express a in terms of b.

Since, b/a = 16/9, by cross multiplying 16a = 9b. Therefore a=9b/16.

Now we can subsitute 9b/16 for a in the first equation

a^2+b^2=c^2 becomes (9b/16)^2 + b^2 = c^2

Squaring the nominator and the denominator of the fraction yields

81b^2/256 + b^2 = c^2

To perform the addition, we need to express b^2 as a fraction with denominator 256 which is 256b^2/256, Now we have

81b^2/256 + 256b^2/256 = c^2

Adding fractions with the same denominators is now easy and produces

337b^2/256 = c^2

Cross multiply to get

337b^2 = 256c^2

Divide both sides by 337 to get b^2

b^2=256c^2/337

Take the square root of both sides to get b

b = sqrt(256c^2/337)

Lots of complicated Pythagorean responses. This is much simpler to answer with Trigonometry.

TLDR; just multiply the diagonal by the following two coefficients, and add the bezel width, to get the width and height:

w = diag x 0.872 + 2 x bw

h = diag x 0.49 + 2 x bw

(Where diag is the diagonal size of the screen and bw is the bezel width)

Thats all you need to know to do this.

Now here’s the Teig behind it:

First, calculate the angle of the diagonal relative to the base, using tangent, which yields ::

a = tan(9/16)

This will give you an angle of 0.512 radians (or roughly 30 degrees).

Next, calculate the ratio of the height relative to the hypotenuse (the diagonal length) using arc-sine, which yields the relative proportion of opposite length over the hypotenuse for a given angle:

h = asin(0.512)

The result will be roughly h = 0.49, or 49% of the diagonal.

Finally, get the ratio of eidth to hypotenuse using arc-cosine:

w = acos(0.512)

The result is roughly w = 0.872, or 87.2% of the diagonal.

that’s all the math! Enjoy!

6 0
3 years ago
How does the equation h(x)=-(x,-3)2 + 4 compare to the graph of g(x)=x2?
Keith_Richards [23]

Answer:

option A

Step-by-step explanation:

The curve h(x)=-(x,-3)2 + 4 has a negative coeff for the degree e term. So the curve ud opened downward

To express the function in normal form,

H = -SQ(X) + 6X - 5

So the y intercept is -5

To find the roots of H

H = -SQ(X) + 6X - 5

(x-1)(x-5) = 0

so the curve has x intercept at 1 and 5

Thus the max point is at x=3

so the curve is shift right by 3 units

{ the function g(x)=x2 has turning point (0, 0) }

since the max point is at x=3, sub x=3 into the function H,

the max point is (3, 4)

So the function H is shift up by 4 unit

4 0
3 years ago
The data represents the daily rainfall​ (in inches) for one month. Construct a frequency distribution beginning with a lower cla
Lemur [1.5K]
No no no no no no no no no no no no no no no no no
3 0
2 years ago
Other questions:
  • What is $450 plus 13% tax
    14·1 answer
  • How do I solve this problem if x mean the missing number? <br> 16\3 = 12\x
    5·1 answer
  • there are 18 students on the school bus. There are 5 seniors 2 juniors 6 sophomores and 5 freshmen. what is the ratio of juniors
    7·2 answers
  • Write the smaller solution first, and the larger solution second.
    12·2 answers
  • Shampoo can be bought in 5 gallon pails. The groomer uses 16 ounce bottles to to hold the shampoo. How many bottles can he get o
    11·1 answer
  • Juma earns $12.50 for each newspaper subscription he sells. He also earns a $50 base salary each week. If he wants to earn $400
    11·2 answers
  • 300/12.500000000000000000​
    5·1 answer
  • Noah drew 9 hearts, 6 stars, and 12 circles. What is the ratio of circles to hearts
    9·2 answers
  • you start driving east with 14 miles turn left and Drive North for another 10 miles at the end of driving what is your straight
    14·1 answer
  • HELPPP!!!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!