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Tcecarenko [31]
2 years ago
13

a triangle has an area of 54 m2 and a height of 9m how long is the base of the triangle entered your answer in the box

Mathematics
2 answers:
Delvig [45]2 years ago
7 0
Answer:
base of the triangle = 12 m

Explanation:
Area of the triangle = 1/2 * base * height
We are given that:
area = 54 m^2
height = 9 m

Substitute in the equation to get the base as follows:
Area of the triangle = 1/2 * base * height
54 = 1/2 * base * 9
108 = 9*base
base = 12 m

Hope this helps :)
zhannawk [14.2K]2 years ago
6 0
The first thing you should know to solve this problem is that the definition of the area of the triangle is:
 A =(1/2)* b * h
 Where,
 b: base
 h: height.
 Clearing the base we have:
 b = 2*A / h
 Substituting the values
 b = 2*(54) / (9) = 12 m
 Answer:
 The base of the triangle is 12m long
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Given that a 90% confidence interval for the mean height of all adult males in Idaho measured in inches was [62.532, 76.478]. Us
grigory [225]

Answer:

The confidence interval on this case is given by:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

\bar X = \frac{62.532+76.478}{2}= 69.505

So then the mean for this case is 69.505

Step-by-step explanation:

Previous concepts

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

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\mu population mean (variable of interest)  

\sigma represent the population standard deviation  

n represent the sample size  

Assuming the X follows a normal distribution  

X \sim N(\mu, \sigma)

The confidence interval on this case is given by:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

\bar X = \frac{62.532+76.478}{2}= 69.505

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3 years ago
If DM = 35, what is the value of r?
Gennadij [26K]

Answer:

r = 11

Step-by-step explanation:

Given

DM = 35

DG = r + 5

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Required

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From the question, we understand that G is a point between D and M:

This implies that:

DM = DG + GM

Substitute values for DM, DG and GM

35 = r + 5 + 3r - 14

Collect Like Terms

r + 3r = 35 - 5 + 14

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John takes out a loan for $ 10 , 000 at a simple interest rate of 5 % to be paid back in 36 monthly installments.
andrew-mc [135]

The monthly principal and interest payment John will pay monthly is $3,750.04

<h3>What is the amount of principal and interest repayment?</h3><h3 />

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M = 10000 \times  \frac{0.375}{ {1 - (1 + 0.375)}^{ - 36} }

M = 10000 \times  \frac{0.375}{ {1 - (1.375)}^{ - 36} }

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