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kvasek [131]
3 years ago
10

Olivia has a family of 15 people. 9 of them are female. If

Mathematics
1 answer:
ZanzabumX [31]3 years ago
3 0

Answer:

wouldn't that just be 1/15?

Step-by-step explanation:

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Please help i am stuck and trying not to fail lol. also if you can show work pls
wel

Given:

The figure of rectangle.

To find:

a. The diagonal of the rectangle.

b. The area of the rectangle.

c. perimeter of the rectangle.

Solution:

(a)

In a right angle triangle,

\sin \theta=\dfrac{Perpendicular}{Hypotenuse}

\sin 30=\dfrac{12}{Hypotenuse}

\dfrac{1}{2}=\dfrac{12}{Hypotenuse}

Hypotenuse=12\times 2

Hypotenuse=24

So, the diagonal of the of the rectangle is 24 units.

(b)

In a right angle triangle,

\tan \theta=\dfrac{Perpendicular}{Base}

\tan 30=\dfrac{12}{Base}

\dfrac{1}{\sqrt{3}}=\dfrac{12}{Base}

Base=12\sqrt{3}

Length of the rectangle is 12 and width of the rectangle is 12\sqrt{3}. So, the area of the rectangle is:

Area=length \times width

Area=12 \times 12\sqrt{3}

Area=144\sqrt{3}

So, the area of the rectangle is 144\sqrt{3} sq. units.

(c)

Perimeter of the rectangle is:

P=2(length+width)

P=2(12+12\sqrt{3})

P=24+24\sqrt{3}

P\approx 65.57

Therefore, the perimeter of the rectangle is about 65.57 units.

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=2%20%5Ctimes%20%20%2B%205%20%3D%207" id="TexFormula1" title="2 \times + 5 = 7" alt="2 \times
Lera25 [3.4K]
2x + 5 =7
Subtracting 5 from both sides
= 2x +5-5 = 7-5
=2x = 2
= x = 2/2
=x = 1
4 0
3 years ago
Read 2 more answers
Solve 2(x + 3) = -4(x + 1) for x.
vitfil [10]

Answer:

x = -10/6 or - 5/3 (in lowest terms)

Step-by-step explanation:

To solve 2(x + 3) = -4(x + 1) for x:

Distribute 2 into (x + 3), and -4 into (x + 1):

2(x + 3) = -4(x + 1)

2x + 6 = -4x - 4

Add 4x to both sides:

2x + 6 + 4x = -4x + 4x - 4

6x + 6 = -4

Subtract 6 from both sides:

6x + 6 - 6 = -4 - 6

6x = -10

Divide both sides by -6:

\frac{6}{6} = \frac{-10}{6}

x = -10/6 or - 5/3 (in lowest terms)

8 0
3 years ago
Read 2 more answers
She finds that for every 4.5 feet below sea level the temperature reads 3.1 degrees cooler. What is the drop in temperature at 9
ss7ja [257]

Answer:6.2degrees

Step-by-step explanation:

4.5×2=9.0

You would double the temp.

3.1×2=6.2 degrees

8 0
4 years ago
Guys i need help please
Mashcka [7]

Answer:

15

Step-by-step explanation:

6 times 3 equals 18, then you subtract 3 from that and thats the answer

4 0
2 years ago
Read 2 more answers
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