All categories

3 years ago

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:

m<19-4
m<15

You might be interested in

Find sin(a)&cos(B), tan(a)&cot(B), and sec(a)&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

$sin(\alpha)=cos(\beta)$

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

$tan(\alpha)=cot(\beta)$

<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

$sec(\alpha)=csc(\beta)$

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:

Step-by-step explanation:

1080/72 *15 = number if Ds

3 0

3 years ago

Read 2 more answers

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

Read 2 more answers

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

Read 2 more answers

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

x = 5- 3

x = 8 or 2

8 0

3 years ago