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3 years ago

Can someone please answer this with steps

Mathematics

1 answer:

ivanzaharov [21]3 years ago

6 0

1) Put all equations together and add them up to equal 180. Triangle's angles add up to 180°

EX) (x+10)+(3x-5)+x=180

2)Combine like terms.

EX) (5x+5)=180

3) Subtract 5 to both sides

EX) 5x=175

4) Divide both sides by 5.

EX) x=35

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Are the following proportional? Explain or show<br> your reasoning<br> 3/5 and 18/25

kykrilka [37]

Answer:

No, they are not proportional. 3/5 with equal out to 15/25 by using the method of Least Common Denominator!

Step-by-step explanation:

Hope this helps :)

7 0

2 years ago

Suppose that the hourly wages of fast food workers are normally distributed with an unknown mean and standard deviation. The wag

Nutka1998 [239]

Answer: 1.303639

Step-by-step explanation:

The t-score for a level of confidence $(1-\alpha)$ is given by :_

$t_{(df,\alpha/2)}$ , where df is the degree of freedom and $\alpha$ is the significance level.

Given : Level of significance : $1-\alpha:0.80$

Then , significance level : $\alpha: 1-0.80=0.20$

Sample size : $n=40$

Then , the degree of freedom for t-distribution: $df=n-1=40-1=39$

Using the normal t-distribution table, we have

$t_{(df,\alpha/2)}=t_{39,0.10}=1.303639$

Thus, the t-score should be used to find the 80% confidence interval for the population mean =1.303639

8 0

3 years ago

Which of the following represents the inequality for the sum of 11 and y is greater than -33? O11-y> -33 O 11+ y -33 11 + y 2

laiz [17]

Answer:

11 + y > - 33

Step-by-step explanation:

To represent the expression :

Sum of 11 and y ; greater than - 33

Sum of 11 and y ; 11 + y

Greater Than - 33; > - 33

Hence ;

11 + y > - 33

5 0

3 years ago

Sin^2(x/2)=sin^2x <br> Find the value of x

Veronika [31]

$\sin^2\dfrac x2=\sin^2x$
$\dfrac{1-\cos x}2=1-\cos^2x$
$1-\cos x=2-2\cos^2x$
$2\cos^2x-\cos x-1=0$
$(2\cos x+1)(\cos x-1)=0$
$\implies\begin{cases}2\cos x+1=0\\\cos x-1=0\end{cases}$ $\implies\begin{cases}\cos x=-\frac12\\\cos x=1\end{cases}$

The first case occurs in $0\le x$ for $x=\dfrac{2\pi}3$ and $x=\dfrac{4\pi}3$ . Extending the domain to account for all real $x$ , we have this happening for $x=\dfrac{2\pi}3+2n\pi$ and $\dfrac{4\pi}3+2n\pi$ , where $n\in\mathbb Z$ .

The second case occurs in $0\le x$ when $x=0$ , and extending to all reals we have $x=2n\pi$ for $n\in\mathbb Z$ , i.e. any even multiple of $\pi$ .

6 0

3 years ago

Please help me fast:

Fiesta28 [93]

Answer:

45 − x % ∗ 45 = 38.25

− 45 x /100 = 38.25 − 45

− 45 x /100 = − 6.75

x = 6.75 ∗ 100 /45

= 15

8 0

3 years ago

Read 2 more answers