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Tamiku [17]
3 years ago
7

On a piece of paper, use a protractor to construct △ABC with m∠A=30° , m∠B=60° , and m∠C=90° .

Mathematics
2 answers:
Naddika [18.5K]3 years ago
6 0

Answer:

C BC>AB

D BC<AC

Step-by-step explanation:

Please Give Me A Good Rating And Press Thank You

ANEK [815]3 years ago
5 0

Answer:

C) BC < AB

D) BC < AC

Ste p-by-step explanation:

We are given the following information in the question:

\angle A = 30^\circ\\\angle B = 60^\circ\\\angle C = 90^\circ

This means that the side opposite to the right angle in the triangle is AB.

Since, the side opposite to the right angle is the hypotenuse and is the longest side of the triangle, thus AB cannot be shorter than any other side of the triangle.

Hence, option C is correct

BC < AB

Also, in the triangle we have,

tan~ 60^\circ = \displaystyle\frac{\text{Perpendicular}}{\text{Base}} = \frac{AC}{BC} = \frac{\sqrt3}{1}\\\\\Rightarrow AC > BC

Hence, option D) is correct

BC < AC

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A package of 4 pairs of insulated gloves cost 35.96
tino4ka555 [31]

Answer:

You need to add more to this question but I am assuming you want to know how much each pair of gloves is?

Step-by-step explanation:

Divide 35.96 by 4

35.96÷4= $8.99 per pair of insulated gloves

6 0
3 years ago
Write a polynomial function, p(x) with degree 3 that has p(7)=0
MArishka [77]

Answer:

p (x) = x^{3} - 21x^{2}+ 147x - 343

is the required polynomial with degree 3 and p ( 7 ) = 0

Step-by-step explanation:

Given:

p ( 7 ) = 0

To Find:

p ( x ) = ?

Solution:

Given p ( 7 ) = 0 that means substituting 7 in the polynomial function will get the value of the polynomial as 0.

Therefore zero's of the polynomial is seven i.e 7

Degree : Highest raise to power in the polynomial is the degree of the polynomial

We have the identity,

(a -b)^{3} = a^{3}-3a^{2}b +3ab^{2} - b^{3}

Take a = x

        b = 7

Substitute in the identity we get

(x -7)^{3} = x^{3}-3x^{2}(7) +3x(7)^{2} - 7^{3}\\(x -7)^{3} = x^{3}-21x^{2} +147x - 343

Which is the required Polynomial function in degree 3 and if we substitute 7 in the polynomial function will get the value of the polynomial function zero.

p ( 7 ) = 7³ - 21×7² + 147×7 - 7³

p ( 7 ) = 0

p (x) = x^{3} - 21x^{2}+ 147x - 343

4 0
3 years ago
The area of a rectangular pool is 6992 m².
Nina [5.8K]

Step-by-step explanation:

area=6992m2

length=92m

Now,

area of rectangle=6992

3 0
3 years ago
The triangles shown are congruent which of the following must be true
Fantom [35]
The bottom answer m y = m h
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3 years ago
NEED HELP ASAP PLEASE WITH #9 and #10!!
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9) Because the total number of pencils is 180 and you will use them up in 30 days, the equation will have to equal 0 total pencils when 30 is substituted in for the time factor, or x. This already takes our choice 3 because it doesn’t meet this criteria.
The answer to how many pencils in 20 days could be answered by plugging in 20 for x. Choice 4 cannot work because it results in a negative number of pencils. Choices 1 and 2 use the same equation, so by plugging in 20 it is clear choice 2 is the correct answer.

10) A line parallel to the go en equation would have the same slope, -3, which means choices 1 and 4 are out. Plug in (-2,5) into both choices 2 and 3. Plugging -2 into x in choice 2 gives -5, and in choice 3 gives 5 for the y value. Therefore choice 3 is correct.
8 0
3 years ago
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