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Romashka [77]
3 years ago
11

Find the value of x. Round your answer to the nearest tenth.

Mathematics
2 answers:
leva [86]3 years ago
7 0

Answer:

Pythagorean Theorem:

a^2 + b^2 = c^2

6^2 + b^2 = 12^2

36 + b^2 = 144

b^2 = 108

b = 10.4

Let me know if this helps!

lianna [129]3 years ago
7 0

Answer

10.4

Step-by-step explanation:

pagathorium theorem, A^2 + B^2 = C^2. You have the C and one length, the other can be found. So 6^2 + B^2 = 12^2. Then you have 36 + B^2 = 144. You use simple algrebra to solve the rest. 144-36 is 108. Now it's B^2 = 108. The opposite of squared is sqare root. So now you can have B all along (Missing side) with the answer ebing B = 10.392 or rounded 10.4

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the ratio of sadia's age to her father's age is 3:6. The sum of their age is 96 .What is sadia's age​
max2010maxim [7]

We have,

a:b=3:6,a+b=96

Introduce variable x such that a=3x,b=6x

The sum a+b=96 is therefore 9x=96\implies x=10.\overline{6}

So,

a=3\cdot10.\overline{6}=\boxed{32} (sadia's age)

b=6\cdot10.\overline{6}=\boxed{64} (father's age)

Hope this helps :)

4 0
3 years ago
A teacher was interested in finding out whether a special study program would increase the scores of students on a national exam
bija089 [108]

Answer:

Check the explanation

Step-by-step explanation:

Going by the first attached image below we reject H_o against  H_1 if obs.T > t_{\alpha /2;n-1}

here obs.T=1.879

\therefore obs.T \ngtr 2.447=t_{0.025;6}

we accept H_o:\mu _{1}=\mu_{2} at 5% level of significance.

i.e there is no sufficient evidence to indicate that the special study program is more effective at 5% level of significance.

1.

this problem is simillar to the previous one except the alternative hypothesis.

Let X_i's denote the bonuses given by female managers and Y_i's denote the bonuses given by male managers.

we assume that X_i \sim N(\mu _{1},\sigma _{1}^{2}) Y_i \sim N(\mu _{2},\sigma _{2}^{2}) independently

We want to test H_0:\mu_{1}=\mu_{2} vs H_1:\mu_{1}\neq \mu_{2}

define D_i=X_i-Y_i , i=1(1)8

now D_i\sim N(\mu _{1}-\mu _{2}=\mu _{D},\sigma _{1}^{2}+\sigma _{2}^{2}=\sigma _{D}^{2}) , i=1(1)8

the hypothesis becomes

H_0:\mu_{D}=0 vs H_1:\mu_{D}\neq 0

in the third attached image, we use the same test statistic as before

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3 0
3 years ago
Statements
vazorg [7]

Answer:

See Explanation

Step-by-step explanation:

The question has unclear information.

So, I'll answer from scratch

Given

ABC = Right angled triangle

DB bisects ABC

Required

Prove that CBD = 45

From the question, we have that:

ABC is right angled at B

So, when DB bisects ABC, it means that DB divides ABC into two equal angles.

i.e.

CBD = ABD

and

CBD + ABD = 90

Substitute CBD for ABD in CBD + ABD = 90

CBD + CBD = 90

2CBD = 90

Divide both sides by 2

\frac{2CBD}{2} = \frac{90}{2}

CBD = \frac{90}{2}

CBD = 45

Hence, it is proved that CBD = 45

<em>Follow the above explanation and use it to answer your question properly</em>

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Answer:

I think it's B

Step-by-step explanation:

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