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Colt1911 [192]
3 years ago
12

A spherical water balloon has a diameter of 10 cm. How much water is needed to fill the balloon, in cubic centimeters? Round you

r answer to the nearest centimeters
Mathematics
1 answer:
Helga [31]3 years ago
4 0
You need to find the volume so, 4* \pi *r ^{3} / 3 = volume. So then we need the radius which would be 5. So, 5* \pi * 5 ^{3} / 3 = about 523.3 cm cubed
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Two angles are supplementary. The larger angle is 15 more than 10 times the smaller angle. FInd the measure of each angle.
garik1379 [7]

\text{Larger angle} =x\\\\\text{Smaller angle} =y\\ \\\text{According to the condition,}\\\\x=10y+15\\\\\text{The two angles are supplementary, so their  sum is}~ 180^{\circ} \\\\x+y=180\\\\\implies 10y+15 +y = 180\\\\\implies 11y = 180-15\\\\\implies 11y=165\\\\\implies y = \dfrac{165}{11}\\\\\implies y = 15\\\\\text{So,} ~x  =180-15 = 165\\\\\text{Hence the larger angle is}~ 165^{\circ}~ \text{and the smaller angle is }15^{\circ}

7 0
2 years ago
List the perfect cubes between 1000 and 3000 that are even numbers
ad-work [718]
 12^3 = 1728; 14^3 = 2744;
5 0
3 years ago
You hike 190 meters up a steep hill that has a 33∘ angle of elevation as shown in the diagram.
erik [133]

Answer:

b = 159 m

a = 103 m

angle B is 57 degrees

Step-by-step explanation:

Let’s start with getting the measure of angle B

Mathematically, since we have a right triangle , we have to subtract the given angle from 90 to get the other acute angle

So we have the measure of B as;

90-33 = 57 degrees

To get the value of a, we use the appropriate trigonometric ratio

a faces the angle 33, that makes it an opposite to that angle

190 faces the right angle and that makes it the hypotenuse

Mathematically , the relationship between the two is that trigonometrically, they are related by the sine which is the ratio of the opposite to the hypotenuse

so, we have it that;

sine 33 = a/190

a = 190 * sine 33

a = 103 m

to get b, it is adjacent to the given angle

So with the hypotenuse, the ratio between it and the hypotenuse is the cosine

so;

cos 33 = b/190

b = 190 * cos 33

b = 159 m

4 0
3 years ago
Mandy shaded the fraction strip below to represent a fraction Shade the fraction strip below so that it represents a fraction th
Aleksandr-060686 [28]

Your question is missing the figure, so the figure for your question is attached below:

Answer:

shade 2 strips out of 4 to get fraction strip equivalent to Mandy's fraction strip

Step-by-step explanation:

As Mandy shaded the 3 trips out of the total six strips. It shows the fraction of  \frac{3}{6}

and \frac{3}{6}=\frac{1}{2}

To shade the given fraction strip so that it represents a fraction that is equivalent to Mandy's fraction strip, we should shade 2 stripes out of 4 that is equivalent to \frac{1}{2}

i.e. \frac{2}{4}=\frac{1}{2}

My Fraction Strip is equivalent to Mandy's Fraction Strip because both are equal to \frac{1}{2}

5 0
3 years ago
Find the highest common factor of 20 and 28
Vlad [161]
20: 1,2,4,5,10,20
28: 1,2,4,7,14,28
4 0
3 years ago
Read 2 more answers
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