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True [87]
3 years ago
8

Find the area of the figure

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
5 0
These are the steps: 
1. Find area of the two triangles.
2. Find area of the rectangle.
3. Add them up.

<u>Step 1: Find area of the two triangles:</u>

Formula : Area of triangle = 1/2 x base x height

Both triangles are identical.
Height = 5m
Base = 6 + 6 + 12 = 24

Area = 1/2 x 24 x 5 = 60 m²

<u>Step 2: Find the area of the rectangle:</u>

Formula : Area = Length x Width

Area = 12 x 7 = 84 m²

<u>Step 3: Find the total area:</u>

60 + 84 = 144 m²

Answer: 144 m²
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Hitman42 [59]

Answer:

H0 rejected as μ>4

and a fish is unsafe to eat from the lake.

Step-by-step explanation:

1)Let the null hypothesis be  H0 : mu ≤4 against the alternate Ha: mu > 4 ppb

H0: μ ≤4   against the claim Ha:  μ>4

2) X`= ∑x/ n= 2.9 +7.6+ 4.8+ 5.2+ 5.1+ 4.7+ 6.9+ 4.9+ 3.7+ 3.8/10

= 49.6/10= 4.96

The standard deviation can be calculated  sigma= 1.344767 ( using statistic calculator)

3) The significance level is taken to be  ∝=0.05

The value of z at 0.05 for 1 sided test is z >± 1.645

i.e the critical region is less than - 1.645 and greater than +1.645

4) Taking the distribution to be approximately normal

Z= x`- u / s/ √n

Z= 4.96-4/ 1.345/10

Z= 4.96-4/ 1.345/3.1622

Z= 0.96/0.4253

Z= 2.257

5) Since the calculated value of z = 2.257 falls in the critical region we reject our null hypothesis and conclude that true mean value of the PCB concentration is greater than 4 (ppb) and that a fish is unsafe to eat from the lake.

3 0
3 years ago
A plane can travel 5000 kilometers<br> in 6 hours. How far can it travel in<br> 1.5 hours?
kompoz [17]

Answer:

1250 Kilometers.

Step-by-step explanation:

Start by finding the proper ratio of 5000:6. Now divide 6/1.5 to see what we need to divide 5000 by. 6/1.5 is 4. So divide 5000 by 4. This gives you an answer of 1250 kilometers.

3 0
3 years ago
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How do I solve for X?
elena-s [515]
The distance from the external point ^2 = The external segment of the secant * the full length of the secant.
tangent distance = 6
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Full length of the secant = x + 3

6^2 = 3*(x + 3) Remove the brackets. 
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36 - 9 = 3x
27 = 3x Divide by 3
x = 9  <<<<<<<Answer.
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3 years ago
How many different arrangements of the letters in the word BETTER are there?
Kitty [74]

Answer: There are 180 different arrangements of the letters in the word "BETTER".


Step-by-step explanation:


8 0
3 years ago
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HELP
Komok [63]

Answer: 1/8 is left over.

Step-by-step explanation:

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There is a quarter of pizza remaining, but Molly ate half of that quarter (1/8). There is only 1/8 of pizza left.

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3 years ago
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