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Vedmedyk [2.9K]
2 years ago
8

A triangular flag has an area of 493 square meters and a height of 17 meters. What is the length of the base

Mathematics
2 answers:
ahrayia [7]2 years ago
7 0

Answer:

\frac{984}{17} or around 57.88

Step-by-step explanation:

We can find the base length by using the formula for the area of a triangle.

A=\frac{bh}{2}

Plug in the values that we know, the area and the height, and solve for b.

493=\frac{17b}{2}

984=17b

b=\frac{984}{17}So the base is [tex]\frac{984}{17} or about 57.88 if you round to the nearest hundredth.

tatiyna2 years ago
6 0

Answer:

58 meters

Step-by-step explanation:

We are looking for the length of the base of a triangle, given the height and area. The formula for the area of a triangle  

A=1/2 bh

relates A= the area, b= length of the base, and h= the height of a triangle, so this is the formula we should use.

We are given that the area of the triangle is A=493 and the height h=17. Substitute this information into the formula and solve for b to find

A=493

493=1/2⋅b⋅17

493=17/2b

58=b

The length of the base is 58 meters.

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Anna is draining water out of a 50 gallon rain barrel. The graph shows the relationship between time in minutes and the gallons
tatiyna

Answer:

6 < x ≤ 20

Step-by-step explanation:

First, let's use the points (0, 50) and (20, 0) to find the equation of the line.

m = Δy / Δx

m = (0 − 50) / (20 − 0)

m = -2.5

y = -2.5x + 50

Now find the time when y = 35.

35 = -2.5x + 50

-15 = -2.5x

x = 6

So there is less than 35 gallons in the barrel when 6 < x ≤ 20.

7 0
3 years ago
•225+225 = ?<br>•5/25 = ?<br>•78-8 = ?<br>•13*1 = ?​
Karolina [17]

ANSWER:

[i] 225 + 225 = 450.

[ii] 5/25 = 1/5.

[iii] 78 - 8 = 70.

[iv] 13 × 1 = 13.

5 0
3 years ago
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In 2004, there were 10,649 commercial radio stations in the US. About 19.22% of these stations were devoted to country music. Ab
Rom4ik [11]
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5 0
3 years ago
A well respected wild life researcher recently conducted a
Marina CMI [18]

Answer:

Claim : men weigh of wild jackalopes is 69.9

The null hypothesis : H0 : μ = 69.9

Alternative hypothesis : H1 : μ ≠ 69.9

Test statistic = −2.447085

P value = 0.0174

Conclusion :

Fail to Reject the Null hypothesis

Step-by-step explanation:

From the question given :

The claim is that : mean weight of wild jackalopes is still the same as 10 years with a mean weight of 69.9 lbs.

The null hypothesis : H0 : μ = 69.9

Alternative hypothesis : H1 : μ ≠ 69.9

Using calculator :

Sample mean (x) = 66

Sample standard deviation (s) = 12.345

The test statistic t :

(x - μ) / (s/√n)

n = sample size = 60

(66 - 69.9) / (12.345 / √60)

t = −2.447085

P value at α 0.01, df = 59 is 0.0174

Since the p value is > 0.01, the result is not significant at 0.01. Therefore, we fail to reject the Null

7 0
3 years ago
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Alika [10]
A+2.4=7.8
a=-5.4
5.4+2.4=7.8
8 0
2 years ago
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