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Whitepunk [10]
2 years ago
6

15. The sides of a triangle are in the ratio of 3:8:7. If the perimeter of the triangle is 63 cm, how long is the shortest side?

​
Mathematics
1 answer:
goblinko [34]2 years ago
4 0

Answer:

10.5cm

Step-by-step explanation:

3+8+7=18, this means that there are 18 parts assuming each part reprecents 1cm

63/18=3.5

so 1 part=3.5cm

3.5*3=10.5cm

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To estimate μ, the mean salary of full professors at American colleges and universities, you obtain the salaries of a random sam
GenaCL600 [577]

Answer:

<h3>73220±566.72</h3>

Step-by-step explanation:

The formula for calculating the confidence interval is expressed as;

CI = xbar ± z*s/√n

xbar is the sample mean =  $73,220

z is the z score at 99% CI = 2.576

s is the standard deviation = $4400

n is the sample size = 400

Substitute the given values into the formula;

CI = 73,220 ± 2.576*4400/√400

CI = 73,220 ± 2.576*4400/20

CI = 73,220± (2.576*220)

CI = 73220±566.72

Hence a 99% confidence interval for μ is 73220±566.72

5 0
2 years ago
Why is ac smaller than ad if they both look very close
kakasveta [241]

Let's begin by listing out the information given to us:

We start out by observing that Triangles MKR & ACD are similar or proportional

\begin{gathered} MK=21;AC=\text{?} \\ MR=24;AD=28\frac{4}{5} \\ KR=CD=\text{?} \end{gathered}

We will solve for the missing side by using the similar triangle theorem. This is shown below:~

\begin{gathered} \Delta MKR\approx\Delta ACD \\ \frac{MK}{AC}=\frac{MR}{AD} \\ \frac{21}{AC}=\frac{24}{28\frac{4}{5}} \\ \text{Cross multiply, we have:} \\ 24\cdot AC=28\frac{4}{5}\cdot21 \\ AC=\frac{28\frac{4}{5}\cdot21}{24}=25\frac{1}{5} \\ AC=25\frac{1}{5} \end{gathered}

8 0
1 year ago
F(x)=(x - 4)^2-1 what is x ?
AysviL [449]

Answer:

(x−3)(x−5)

Step-by-step explanation:

Hope this helped

3 0
2 years ago
Help needed asap !!!!!!
Zinaida [17]

Answer:

b)0, yes

Step-by-step explanation:

Given:

Vectors (4,8) . (6,-3)

Finding inner product of vectors:

= 4x6 + 8x-3

=24-24

=0

Now to check the angle between them using formula a.b=|a|.|b|cosθ

|a|= \sqrt{4^{2} +8^{2} } \\\sqrt{16+64}

   =8.9

|b|=\sqrt{6^{2} +(-3)^{2} } \\\sqrt{36+9}

   =6.7

Putting values of a.b=0 and |a|=8.9, |b|=6.7 in a.b=|a|.|b|cosθ we get,

0= 8.9(6.7)cosθ

cosθ =0

θ=90 degrees

Hence the two vectors are perpendicular !

7 0
3 years ago
1/8 plus 3/4: plz tell me I need help
xenn [34]
The answer should be 7/8
6 0
3 years ago
Read 2 more answers
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