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3 years ago

What fraction plus 7/8 = 1

Mathematics

1 answer:

Bess [88]3 years ago

6 0

Answer:

1/8

Step-by-step explanation:

yes

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The radius of a sphere is multiplied by 7. What effect does this have on the volume of the sphere?

elena55 [62]

Answer:

The new volume is 7^3 or 343 times the old volume

Step-by-step explanation:

The original sphere has a volume of

V = 4/3 pi r^3

The radius is multiplied by 7

The new volume is

V = 4/3 pi (7r) ^3

V = 4/3 pi (7)^3 r^3

The new volume is 7^3 or 343 times the old volume

7 0

3 years ago

I need the answer ASAP! Please help me!

masha68 [24]

Answer:

Please check the explanation.

Step-by-step explanation:

Determining the length of BC

From the diagram, it is clear that

The point B is located at (-8, 10) and point C is located at (8, 10)

Since points A and C are located on a horizontal straight line. Thus, the length of BC can be determined by counting the x-axis units from reaching x = -8 to x = 8. i.e. 8-(-8) = 8+8 = 16

Thus, the length of BC = 16 units

Determining the length of CD

Given

C (8, 10)

D (2, -2)

The distance between C(8, 10) and D(2, -2)

$\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$CD=\sqrt{\left(2-8\right)^2+\left(-2-10\right)^2}$

$=\sqrt{6^2+12^2}$

$=\sqrt{36+144}$

$=\sqrt{180}$

$=\sqrt{36\times 5}$

$=6\sqrt{5}$

Thus, the length of CD $=6\sqrt{5}$ units

Determining the length of ED

Given

E (-8, -4)

D (2, -2)

The distance between E(-8, -4) and D(2, -2)

$ED=\sqrt{\left(2-\left(-8\right)\right)^2+\left(-2-\left(-4\right)\right)^2}$

$=\sqrt{10^2+2^2}$

$=\sqrt{100+4}$

$=\sqrt{104}$

$=\sqrt{26\times \:4}$

$=2\sqrt{26}$

Thus, the length of ED $=2\sqrt{26}$ units

Determining the length of EB

From the diagram, it is clear that

The point E is located at (-8, -4) and the point B is located at (-8, 10)

Since points E and B are located on a vertical straight line. Thus, the length of EB can be determined by counting the y-axis units from reaching y = -4 to y = 10. i.e. 10-(-4) = 10+4 = 14

Thus, the length of EB = 14 units

4 0

3 years ago

A university has 40,140 students. In a random sample of 210 students, 14 speak three or more languages. Predict the number of st

Alekssandra [29.7K]

Answer:

2676 students

Step-by-step explanation:

Total number of students =. 40,140

During study:

Sample size = 210

Number of samples who speak 3 or more languages = 14

Proportion who speak 3 or more languages :

14 / 210 = 0.0666666

Applying the proportion to the total. Population :

0.0666666 * total number of students

0.0666666 * 40140

= 2675.997324

= approximately 2676 students

4 0

3 years ago

Simplify: 3(8) 0 • (3) –2 a–27 b24/9 c–216 d 1/3

garri49 [273]

Answer:

-2a-27b.2^3/3c-2161/3

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3 years ago

Alana is 4 years older than her brother ernie. ernie is 2 years older than their sister amelia. amelia is 10 years younger than

lions [1.4K]

Alana is 13 years old.

3 0

4 years ago