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3 years ago

Factor the expression. 36y2 – 84y – 147

Mathematics

1 answer:

dsp733 years ago

5 0

The factors are (3.5, -1.12) hope I was able to help

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Hi!

Dima020 [189]

Answer:

90 men

Step-by-step explanation:

just keep the ratio constant

3:7

equals 10 parts

300/10=30

3*30:7*30

90 men and 210 women

hope this helps!!! :)

5 0

3 years ago

Read 2 more answers

Given: PRST is a square

xxTIMURxx [149]

Answer:

$(1-\sqrt{2})a^2$

Step-by-step explanation:

Consider irght triangle PRS. By the Pythagorean theorem,

$PS^2=PR^2+RS^2\\ \\PS^2=a^2+a^2\\ \\PS^2=2a^2\\ \\PS=\sqrt{2}a$

Thus,

$MS=PS-PM=\sqrt{2}a-a=(\sqrt{2}-1)a$

Consider isosceles triangle MSC. In this triangle

$MS=MC=(\sqrt{2}-1)a.$

The area of this triangle is

$A_{MSC}=\dfrac{1}{2}MS\cdot MC=\dfrac{1}{2}\cdot (\sqrt{2}-1)a\cdot (\sqrt{2}-1)a=\dfrac{(\sqrt{2}-1)^2a^2}{2}=\dfrac{(3-2\sqrt{2})a^2}{2}$

Consider right triangle PTS. The area of this triangle is

$A_{PTS}=\dfrac{1}{2}PT\cdot TS=\dfrac{1}{2}a\cdot a=\dfrac{a^2}{2}$

The area of the quadrilateral PMCT is the difference in area of triangles PTS and MSC:

$A_{PMCT}=\dfrac{(3-2\sqrt{2})a^2}{2}-\dfrac{a^2}{2}=\dfrac{(2-2\sqrt{2})a^2}{2}=(1-\sqrt{2})a^2$

5 0

3 years ago

Can someone help me plz

wolverine [178]

Answer:

75°

Step-by-step explanation:

Recall: SOH CAH TOA

Reference angle = ? = θ

Side length opposite to reference angle = 27

Hypotenuse length = 28

Apply SOH, which is:

$sin(\theta) = \frac{Opposite}{Hypotenuse}$

Substitute

$sin(\theta) = \frac{27}{28}$

$\theta = sin^{-1}(\frac{27}{28})$

$\theta = 75 degrees$ (nearest degree)

7 0

3 years ago

A club has 10 members.

TEA [102]

That is the combination of 10 over 3, which is calculated as the quotient of factorials:
n!/k!(n-k)!
where n = 10 and k = 3:
= 10!/3!(10 - 3)!
= 10!/3!*7!
= (10*9*8)/(3*2*1)
= 720/6
= 120
therefore there a re 120 possible different groups

6 0

3 years ago

Read 2 more answers

a video store charges a one-time membership fee of $12.00 plus $1.50 per video rental. How many videos can stewart rent if he sp

Natasha_Volkova [10]

He could rent 6 videos if he spends $21.00

4 0

3 years ago