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Bogdan [553]
2 years ago
6

Can anyone please help me do 13 and 14 please

Mathematics
1 answer:
NeX [460]2 years ago
4 0

Answer:

hey we can only see 13 and for 13 is<em><u> X = 57.36</u></em>

Step-by-step explanation:

since we have opposite and the hypotenuse we use sin...

sin(theta) = opp/hyp

sin(38) = 17/x

and we multiple x to both sides which leaves us with

x * sin(38) = 17

and then divide sin(38) so x can be by it- self which gives us

x = 17/sin(38

X = 57.36

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3.
zhenek [66]

Answer:

A)

Step-by-step explanation:

length = x +x + 2 = 2x + 2

Width = 2+ x

Area of rectangle = length *width

(x +2)(2x + 2) = 110

Use FOIL method

x*2x + x*2 + 2*2x + 2*2 = 110

2x² + <u>2x + 4x</u> + <u>4 - 110</u> = 0   {Combine like terms}

2x² +6x - 106 = 0

a = 2 ; b = 6 ; c = -106

b² - 4ac = 6² - 4*2*(-106)

             = 36 + 848

             = 884

\sqrt{b^{2}-4ac}=\sqrt{884}= 29.73

x =\dfrac{-b+\sqrt{b^{2}-4ac}}{2a} \ ; \ x==\dfrac{-b-\sqrt{b^{2}-4ac}}{2a}\\\\x = \dfrac{-6+29.73}{2*2} \ ; \ x =\dfrac{-6-29.73}{2*2} \ this \ is \  ignored \ as \ it \ is \  negative\\\\x=\dfrac{23.73}{4};

x = 5.93 m

5 0
3 years ago
n a Gallop poll of 1012 randomly selected adults, 9% said that cloning of humans should be allowed. We are going to use a .05 si
Vanyuwa [196]

Answer:0.1446

Step-by-step explanation:

Let p be the population proportion of adults say that cloning of humans should be allowed.

As per given , the appropriate set of hypothesis would be :-

H_0: p\geq0.10\\\\ H_a: p

Since H_a is left-tailed and sample size is large(n=1012) , so we perform left-tailed z-test.

Given : The test statistic for this test is -1.06.

P-value for left tailed test,

P(z<-1.06)=1-P(z<1.06)        [∵P(Z<-z)=1-P(Z<z]

=1-0.8554=0.1446          (Using z-value table.)

Hence, the p-value for this test statistic= 0.1446

4 0
2 years ago
Let $z$ be a complex number such that $z^5 = 1$ and $z \neq 1.$ Compute
snow_lady [41]

Answer:

The answer is 4

Step-by-step explanation: i did it

5 0
2 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B12%7D%20%20%5Cdiv%20%20%5Cfrac%7B2%7D%7B11%7D%20%20%3D%20" id="TexFormula1
katrin2010 [14]

Solve. To solve this equation, you must change the divide sign into a multiplication sign.

To do so, change it into a multiplication sign, and flip the second fraction

(5/12)/(2/11) = 5/12 x 11/2

Multiply across

5/12 x 11/2 = 55/24

55/24, or 4 7/12

hope this helps

<em>~Rise Above the Ordinary</em>

7 0
3 years ago
When 2(3/5 x + 2/3 y - 1/4 x -1 1/2 y + 3 )is simplified, what is the resulting expression?
vovangra [49]

Answer:

Simplifying  the expression: 2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3) we get \mathbf{42x-100y-360}

Step-by-step explanation:

We need to simplify the expression: 2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)

First we will solve terms inside the bracket

2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)

Converting mixed fraction 1\frac{1}{2} y into improper fraction, we get: \frac{3}{2}y

Replacing the term:

2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-\frac{3}{2}y +3)

Now, taking LCM of: 5,3,4,2 we get 60

Now multiply 60 with each term inside the bracket

2(\frac{3}{5}x\times60+\frac{2}{3}y\times60-\frac{1}{4}x\times60-\frac{3}{2}y\times60 +3\times60)\\2(3x\times12+2y\times20-1x\times15-3x\times30-3\times60)\\2(36x+40y-15x-90y-180)

Now, combine like terms

2(36x-15x-90y+40y-180)\\2(21x-50y-180)

Now, multiply all terms with 2

42x-100y-360

So, Simplifying  the expression: 2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3) we get \mathbf{42x-100y-360}

3 0
3 years ago
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