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Rus_ich [418]
3 years ago
11

From the set {5, 15, 23), which of the values can be substituted for m to make the

Mathematics
1 answer:
Arlecino [84]3 years ago
7 0

Answer:

its A and i am sure her is the explanation

Step-by-step explanation:

  1. m<19-4
  2. m<15
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Find sin(a)&amp;cos(B), tan(a)&amp;cot(B), and sec(a)&amp;csc(B).​
Reil [10]

Answer:

Part A) sin(\alpha)=\frac{4}{7},\ cos(\beta)=\frac{4}{7}

Part B) tan(\alpha)=\frac{4}{\sqrt{33}},\ tan(\beta)=\frac{4}{\sqrt{33}}

Part C) sec(\alpha)=\frac{7}{\sqrt{33}},\ csc(\beta)=\frac{7}{\sqrt{33}}

Step-by-step explanation:

Part A) Find sin(\alpha)\ and\ cos(\beta)

we know that

If two angles are complementary, then the value of sine of one angle is equal to the cosine of the other angle

In this problem

\alpha+\beta=90^o ---> by complementary angles

so

sin(\alpha)=cos(\beta)

Find the value of sin(\alpha) in the right triangle of the figure

sin(\alpha)=\frac{8}{14} ---> opposite side divided by the hypotenuse

simplify

sin(\alpha)=\frac{4}{7}

therefore

sin(\alpha)=\frac{4}{7}

cos(\beta)=\frac{4}{7}

Part B) Find tan(\alpha)\ and\ cot(\beta)

we know that

If two angles are complementary, then the value of tangent of one angle is equal to the cotangent of the other angle

In this problem

\alpha+\beta=90^o ---> by complementary angles

so

tan(\alpha)=cot(\beta)

<em>Find the value of the length side adjacent to the angle alpha</em>

Applying the Pythagorean Theorem

Let

x ----> length side adjacent to angle alpha

14^2=x^2+8^2\\x^2=14^2-8^2\\x^2=132

x=\sqrt{132}\ units

simplify

x=2\sqrt{33}\ units

Find the value of tan(\alpha) in the right triangle of the figure

tan(\alpha)=\frac{8}{2\sqrt{33}} ---> opposite side divided by the adjacent side angle alpha

simplify

tan(\alpha)=\frac{4}{\sqrt{33}}

therefore

tan(\alpha)=\frac{4}{\sqrt{33}}

tan(\beta)=\frac{4}{\sqrt{33}}

Part C) Find sec(\alpha)\ and\ csc(\beta)

we know that

If two angles are complementary, then the value of secant of one angle is equal to the cosecant of the other angle

In this problem

\alpha+\beta=90^o ---> by complementary angles

so

sec(\alpha)=csc(\beta)

Find the value of sec(\alpha) in the right triangle of the figure

sec(\alpha)=\frac{1}{cos(\alpha)}

Find the value of cos(\alpha)

cos(\alpha)=\frac{2\sqrt{33}}{14} ---> adjacent side divided by the hypotenuse

simplify

cos(\alpha)=\frac{\sqrt{33}}{7}

therefore

sec(\alpha)=\frac{7}{\sqrt{33}}

csc(\beta)=\frac{7}{\sqrt{33}}

6 0
3 years ago
The ratio of Ds to As in the school was 4 to 72. If there were 1080 As in the school this term, how many Ds were there?
Vika [28.1K]

Answer:

60

Step-by-step explanation:

1080/72 *15 = number if Ds

3 0
3 years ago
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Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 8mn5 – 2m6 + 5m2n4 – m3n
photoshop1234 [79]
So it's multiple choice?
whichever looks most like this is the answer:
30mn+6n-36m
8 0
3 years ago
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3/5 of the balls in a box are red . The rest are green and red .The ratio of the number of balls to the number of yellow balls i
just olya [345]

Answer:

Hello this question is impossible ask your teacher or find if you didnt make any mistake copying this HW.

Step-by-step explanation:

You have 3x/5 red balls but next sentence is talking about that Yellow balls have to be in ratio 5:3 but it is impossible because Red balls + Yellow balls would make 6x/5 of balls which is not possible  

6 0
3 years ago
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How do you find the answer for <br><br> 7(x-5)²=63
zepelin [54]

Answer:

Step-by-step explanation:

7(x-5)²=63

(x-5)²=63/7

\sqrt{ (x-5)^{2} } = \sqrt9 }

(x-5) = +/- 3

x = 5 + 3

or

x = 5- 3

x = 8 or 2

8 0
3 years ago
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