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4 years ago

Please answer this question, will give brainliest!

Mathematics

1 answer:

Yuliya22 [10]4 years ago

4 0

Answer:

Step-by-step explanation:

If MN is tangent of a circle then the angle M is a right angle.

We have a dimeter of acircle d = 8 cm.

Therefore the radius CM = 8 cm : 2 = 4cm.

In a right triangle CMN use the Pythagorean theorem:

$CM^2+MN^2=CN^2$

Substitute CM = 4cm and CN = 9.9 cm:

$4^2+MN^2=9.9^2$

$16+MN^2=98.01$ <em>subtract 16 from both sides</em>

$MN^2=82.01\to MN=\sqrt{82.1}\\\\MN\approx9.1$

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The rectangle below has an area of 70y⁸ 30y⁶. The width of the rectangle is equal to the greatest common monomial factor of 70y⁸

Lorico [155]

Answer:

The Width of the Rectangle = $10y^6$

$\text{Length of the Rectangle}=210y^8$

Step-by-step explanation:

The area of the rectangle $=70y^8 30y^6.$

We are told that the width of the rectangle is equal to the greatest common monomial factor of $70y^8 \: and\: 30y^6.$

Let us determine the greatest common monomial factor of $70y^8 \: and\: 30y^6.$

Express each term as a product to pick out the common factors:

$70y^8 =7X10Xy^6Xy^2\\30y^6=3X10Xy^6$

In the two terms, the common terms are 10 and $y^6$ . Therefore their greatest monomial factor = $10y^6$

The Width of the Rectangle = $10y^6$

Recall: Area of a Rectangle =Length X Width

$70y^8 30y^6=Length X 10y^6\\Length =70y^8 30y^6 \div 10y^6 \\=\dfrac{70X30Xy^8Xy^6}{10y^6} =210y^8\\\text{Length of the Rectangle}=210y^8$

6 0

3 years ago

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Suppose you mark n points on a circle, where n is a whole number greater than 1. The number of segments you can draw that connec

dezoksy [38]

Just subsitute 8 for n
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4 years ago

Two kinds of perfume are packaged in square pyramidal bottles. Perfume A is packaged in a bottle with a base of 3 inches square

kondor19780726 [428]

Answer:

The bottle of perfume A contains more glass

Step-by-step explanation:

we know that

The surface area of the square pyramid is equal to the area of the square base plus the area of its four triangular faces

step 1

Find the surface area of Perfume A

$SA=3^{2} +4[\frac{1}{2}(3)(2.5)]=24\ in^{2}$

step 2

Find the surface area of Perfume B

$SA=2.5^{2} +4[\frac{1}{2}(2.5)(3)]=21.25\ in^{2}$

step 3

Compare the surface areas

$24\ in^{2}>21.25\ in^{2}$

therefore

The bottle of perfume A contains more glass

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3 years ago

Plz help with this math. Can't find the area of the triangular faces.

Zina [86]

First of all, you have to find the area of both triangles:
$\frac{bh}{2}$
$\frac{4*4}{2}$
Or just 16 because there are 2 of the same triangles.

Now you have to find the area of the 3 rectangles.

The two that are in the front are 4*3 (l*h) or 12*2 (because there are 2 congruent rectangles. The area of those rectangles is 24 square mm.

Now you find the area of the back rectangle:
5.7*3 = 17.1

Finally, you add all the found numbers to figure out the surface area.
17.1 + 16 + 24 = 57.1 square millimeters.

Hope this helped,
Loafly

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3 years ago

There are 8 students on a minibus. 5 students are boys. What is the fraction of students?

pav-90 [236]

The fraction of boys to total students would be 5/8

The fraction of boys to girls would be 5/3

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3 years ago

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