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kolbaska11 [484]
3 years ago
6

Name a pair of complementary angles and a pair of supplementary angles

Mathematics
1 answer:
makkiz [27]3 years ago
5 0

Answer:

Step-by-step explanation:

m<POQ + m<SOR = 90º. This makes these two angles complementary.

m<POQ + m<QOR + m<SOR = 180º. This is because the measure of a straight line is 180º.

hope this helps, reach out if you have more questions!

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A circular cake with a radius of 8 inches is cut from the center into 6 equal pieces. How many inches wide, to the nearest tenth
aalyn [17]

Answer: 8.4 inches.

Step-by-step explanation:

We know that the circumference of a circle can be calculated with this formula:

C=2\pi r

Where "r" is the radius of the circle.

We know that the circular cake (whose radius is 8 inches) is cut from the center into 6 equal pieces. Then, you need to divide the circumference of this circular cake by 6 to find the width of the outer edge of each piece of cake.

Therefore, this is (to the nearest tenth of an inch):

C=\frac{2\pi (8in)}{6}\\\\C=8.4in

5 0
3 years ago
Read 2 more answers
What is the length of the shortest altitude in a triangle, if the lengths of the sides are 24 cm, 25 cm, 7 cm?
AfilCa [17]

Answer:

The shortest altitude is 6.72 cm

Step-by-step explanation:

Given that the side lengths are

24 cm, 25 cm, 7 cm

The area of a triangle =

A = \sqrt{s \cdot (s-a)\cdot (s-b)\cdot (s-c)}

Where;

s = Half the perimeter = (24 + 25 +  7)/2 = 28

A = √((28×(28 - 24)×(28 - 25)×(28 - 7)) = 84 cm²

We note that 84/7 = 12

Therefore, the triangle is a right triangle with hypotenuse = 25, and legs, 24 and 7, the height of the triangle = 7

To find the shortest altitude, we utilize the formula for the area of the triangle A = 1/2 base × Altitude

Altitude  = A/(1/2 ×base)

Therefore, the altitude is inversely proportional to the base, and to reduce the altitude, we increase the base as follows;

We set the base to 25 cm to get;

Area of the triangle A =  1/2 × base × Altitude

84 = 1/2 × 25 × Altitude

Altitude = 84/(1/2 × 25) = 6.72 cm

The shortest altitude = 6.72 cm.

4 0
3 years ago
How many roots does a quadratic have if the discriminant if prime?
scZoUnD [109]

"The discriminant is prime?" I haven't heard that one before.

Here are the general rules:

1. a positive discriminant results in two real, unequal roots.

2. a zero discr. results in two real, equal roots.

3. a negative discr. results in two complex roots, which sometimes means two imaginary roots.

5 0
3 years ago
Which is a solution to the equation 5x + 2y = –1?
zlopas [31]
The easiest way to do this is to plug in the numbers for the variebles and see if they equal the same in both sides. lets try the first one 5(1)+2(-3)=-1, multiply the nmbers to get 5-6=-1 now simplify to get the answer of -1=-1, they both equal the same so this means that the first option is the correct one

Hope this helps
4 0
3 years ago
Read 2 more answers
What are the zeros of the polynomial function? f(x)=(x+4) (x−4) (x+5)
IceJOKER [234]

Answer:

the zeros are -4, 4, -5

5 0
2 years ago
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