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3 years ago

How could you estimate the quotient 162 divided 19? i need help!!!

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

6 0

It = 6.888888888 and you can round it to 7

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Which number produces a rational number when added to 0.25

mina [271]

Answer:

$C)~ \dfrac 29$

Step-by-step explanation:

$\text{The sum of two rational numbers is rational.}$

7 0

1 year ago

Find the Measure of the missing angles.

Savatey [412]

Step-by-step explanation:

1= 118°+angle 1=180°

angle 1= 180°-118°=62°

angle 2=180°-135°=45°

angle 3=135°

8 0

3 years ago

The sphere below has a radius of 2.5 inches and an approximate volume of 65.42 cubic inches.

Stells [14]

Part a: The radius of the second sphere is 5 inches.

Part b: The volume of the second sphere is 523.33 in³

Part c; The radius of the third sphere is 1.875 inches.

Part d: The volume of the third sphere is 27.59 in³

Explanation:

Given that the radius of the sphere is 2.5 inches.

Part a: We need to determine the radius of the second sphere.

Given that the second sphere has twice the radius of the given sphere.

Radius of the second sphere = 2 × 2.5 = 5 inches

Thus, the radius of the second sphere is 5 inches.

Part b: we need to determine the volume of the second sphere.

The formula to find the volume of the sphere is given by

$V=\frac{4}{3} \pi r^3$

Substituting $\pi=3.14$ and $r=5$ , we get,

$V=\frac{4}{3} (3.14)(125)$

$V=\frac{1580}{3}$

$V=523.3333 \ in^3$

Rounding off to two decimal places, we have,

$V=523.33 \ in^3$

Thus, the volume of the second sphere is 523.33 in³

Part c: We need to determine the radius of the third sphere

Given that the third sphere has a diameter that is three-fourths of the diameter of the given sphere.

Hence, we have,

Diameter of the third sphere = $\frac{3}{4} (5)=3.75$

Radius of the third sphere = $\frac{3.75}{2} =1.875$

Thus, the radius of the third sphere is 1.875 inches

Part d: We need to determine the volume of the third sphere

The formula to find the volume of the sphere is given by

$V=\frac{4}{3} \pi r^3$

Substituting $\pi=3.14$ and $r=1.875$ , we get,

$V=\frac{4}{3} (3.14)(1.875)^3$

$V=\frac{4}{3} (3.14)(6.59)$

$V=27.5901 \ in^3$

Rounding off to two decimal places, we have,

$V=27.59 \ in^3$

Thus, the volume of the third sphere is 27.59 in³

4 0

3 years ago

-3 1/2= 1/2x+1/2x+x A)-1 3/4 B)-5 1/2 C)-1 1/2 10points each

rosijanka [135]

Answer:

-1 3/4 =x

Step-by-step explanation:

-3 1/2= 1/2x+1/2x+x

Combine like terms

-3 1/2 = 2x

Change to an improper fraction

- ( 2*3+1)/2 = 2x

-7/2 = 2x

Multiply each side by 1/2

-7/2 *1/2 = 2x* 1/2

-7/4 = x

Changing to a mixed number

-4/4 -3/4 =x

-1 3/4 =x

4 0

3 years ago

The LCM of two numbers is 48. The number one in the ratio 2:3. Then Sum of the numbers is:

Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

Let the numbers be 2x and 3x

Then their L.C.M. = 6x

BUT also their LCM=48

6x=48

x=48/6

x=8

So,

First number=2x=2x8=16

Second number=3x=3x8=24

The numbers are 16 and 24.

Hence required sum =(16+24)=40

So none of the options are correct

6 0

3 years ago