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Zarrin [17]
3 years ago
10

Suppose m:angle a =77 degrees what is the measure of a complement of a complement of angle a, what is a conclusion you can draw

about a complement of a complement of an angle
Mathematics
1 answer:
nexus9112 [7]3 years ago
5 0

Answer:

a = 77°

Step-by-step explanation:

Two angles are complementary if their sum is 90 degrees.

Let us assume that the angle b is complement of a.

Given statement  complement (complement (a)) = complement (b) = a

Complement (complement (77°)) = complement ( 13°) = 77°

The conclusion is obvious that this is the same angle.

God with you!!!

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A sphere is inscribed in a cube with a surface area of 216 square centimeters. What is the volume of the sphere
pentagon [3]

Answer:

V=298.5cm^3

Step-by-step explanation:

To find the volume of the sphere we need to know its radius.

And the radius can be found with the information we have about the surface area.

The formula for the surface area is as follows:

SA=4\pi r^2

from this formula we clear the radius r:

r^2=\frac{SA}{4\pi}\\ \\r=\sqrt{\frac{SA}{4\pi} }

and we substitute the known value of the surface area, and also the value of \pi:

r=\sqrt{\frac{216cm^2}{4(3.1416)} }\\ \\r=\sqrt{\frac{216cm^2}{12.5664} }\\ \\r=\sqrt{17.1887cm^2}\\ \\r=4.146cm

and now that we know the radius we find the volume:

V=\frac{4\pi r^3}{3} \\\\V=\frac{4(3.1416)(4.146cm)^3}{3}\\ \\V=\frac{895.521cm^3}{3}\\ \\V=298.5cm^3

the volume of the sphere is 298.5cm^3

7 0
3 years ago
Amy walks from point B to point C along the segment BC. Fraser walks from point O to point A along the segment OA. Which stateme
torisob [31]
Based on the graph, point O is the center of the circle. 
Segment BC is a chord of the circle that passes through point O, it is a diameter.
Segment OA is a radius of the circle.

The correct statement for this problem is:

<span>Amy walks a distance equal to the diameter, and Fraser walks a distance equal to the radius of the lawn.</span>
3 0
3 years ago
Which fraction below represents a terminating decimal?<br> A. <br> B. <br> C. <br> D.
Vsevolod [243]

Answer:

3/10

Step-by-step explanation:

The fraction, 1/12, can be written as 1/4 * 1/3. Since we know that 1/3 = 0.333333... and it doesn't terminate, we know that 1/12 doesn't terminate. Similarly 2/9 = 2/3*1/3 and 2/3 = 2*1/3, and neither of these fractions terminate. But, when dividing 3/10, you get 0.3, which terminates.

3 0
3 years ago
A bakery sells vanilla cupcakes and chocolate cupcakes. It sold 276 vanilla cupcakes in a day. 8% of the cupcakes sold that day
kkurt [141]

Answer:

hello!!!

300 cupcakes

please read the explanation.. it always helps... trust me...

Step-by-step explanation:

alrighty here it goes...

okay.. so we start by reading the problem (duh) but also underlining the important numbers that we need. yes, it really is that simple, trust me....

okay so the percentage of chocoalte cupcakes was 8% and the amount of vanilla cupcakes was 276.

we start by taking 100% - 8% = 92% so the amount of vanilla cupcakes sold was 276 which is also 92% of the total amount of cupcakes.

so now we need to find out 92% of what number gets us 276.

the percentage formula (in this problem) should be as follows:

92/100 x (total amount of cupcakes) = 276

to solve for total amount of cupcakes you do 276 x 100 then you divide by 92 to get your answer (which is 300)

i hope this helps!!!

4 0
2 years ago
Valarie made fruit drinks for a birthday party. She used 3/6 of a cup of grape juice, 5/6 of a cup of strawberry juice, and 2/6
Nana76 [90]

Answer:

Valarie make 1\frac{2}{3}\ cups of fruit drink.

Step-by-step explanation:

Given:

Valarie made fruit drinks for a birthday party.

She used 3/6 of a cup of grape juice, 5/6 of a cup of strawberry juice, and 2/6 cup of soda. She mixes all the juices together.

Now, to find cups of fruit drink Valarie make.

As given that she mixes all juices altogether.

So, to get the cups of fruit drink we add all quantities of juice:

3/6 cup of grape juice + 5/6 cup of strawberry juice + 2/6 cup of soda.

=\frac{3}{6} + \frac{5}{6} +\frac{2}{6}

=\frac{3+5+2}{6}

=\frac{10}{6}

<em>Dividing numerator and denominator by 2 we get:</em>

=\frac{5}{3} =1\frac{2}{3}

Therefore, Valarie make 1\frac{2}{3}\ cups of fruit drink .

8 0
3 years ago
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