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Papessa [141]
2 years ago
8

Find the area of a triangle whose sides are 5 m, 6 m and 9m,( use root 2 =-1.41 m)​

Mathematics
1 answer:
dlinn [17]2 years ago
4 0

The area of the triangle is 14.1 square meters

<h3>How to determine the triangle area?</h3>

The side lengths are given as:

5m, 6m and 9m

Calculate the semi-perimeter (s) using

s = (5 + 6 + 9)/2

Evaluate

s = 10

The area is then calculated as:

Area = \sqrt{s(s -a)(s-b)(s-c)

This gives

Area = \sqrt{10 * (10 -5)(10-6)(10-9)

Evaluate the products

Area = \sqrt{200

Evaluate the exponent

Area = 14.1

Hence, the area of the triangle is 14.1 square meters

Read more about areas at:

brainly.com/question/27683633

#SPJ1

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Answer:

\text{Average diameter is 1.65 mm and we decide that it is not 1.65 mm.}                

Step-by-step explanation:

We are given the following in the question:

The needle size should not be too big and too small.

The diameter of the needle should be 1.65 mm.

We design the null and the alternate hypothesis

H_{0}: \mu = 1.65\text{ mm}\\H_A: \mu \neq 1.65\text{ mm}

Sample size, n = 35

Sample mean, \bar{x} = 1.64 mm

Sample standard deviation, s = 0.07 mm

Type I error:

  • It is the error of rejecting the null hypothesis when it is true.
  • It is also known as false positive error.
  • It is the rejecting of a true null hypothesis.

Thus, type I error in this study would mean we reject the null hypothesis that the average diameter is 1.65 mm but actually the average diameters of the needle is 1.65 mm.

Thus, average diameter is 1.65 mm and we decide that it is not 1.65 mm.

8 0
3 years ago
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The data set represents the prices, in dollars, of the items students are selling for a fundraiser. 1, 1, 2, 3, 3, 4, 4, 4, 5, 5
lidiya [134]
To produce a box plot, we need the lowest and highest value from the data set. We also need the lower quartile (Q_{1}), median (Q_{2}), and  upper quartile (Q_{3}).

All these data and the box plot is shown in the diagram below

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The function(t)--4.87+18.75 is used to model the height of an object projected in the air, where h() is the height in
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The domain and range of the given function are equal to (0, 3.85) and (0, 18.75) respectively.

<h3>How to calculate the domain of the function?</h3>

In this exercise, you're given the following function h(t) = -4.87t² + 18.75t. Next, we would equate the function to zero (0) to determine its domain as follows:

0= -4.87t² + 18.75t.

4.87t(-t + 3.85) = 0

t = 0 or t = 3.85.

Therefore, the domain is 0 ≤ t ≤ 3.85 or (0, 3.85).

<h3>How to calculate the range of the function?</h3>

h(t) = -4.87t² + 18.75t

h(t) = -4.87(t² - 3.85t + 3.85 - 3.85)

h(t) = -4.87(t - 1.925)² + 18.05

Therefore, the range is 0 ≤ h ≤ 18.05 or (0, 18.75).

Read more on domain here: brainly.com/question/17003159

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3 0
1 year ago
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What is the answer to 10 = -4 x?
lawyer [7]
Solve for x
Divide both sides by -4
X= - 10/4
Now simplify by dividing top and bottom by 2
X= -5/2 or - 2 1/2
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3 years ago
One leg of a right triangle measures 6 inches. The remaining leg measures 6 sq 3 inches. What is the measure of the angle opposi
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“6 sq 3 inches “ ? Explain it briefly I’m trying to understand
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