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lord [1]
3 years ago
5

Sam is an apprentice carpenter whose boss asked him to construct a perfectly rectangular frame with a diagonal brace. When Sam h

ad finished his boss measured the width of the frame to be 50 cm, the length to be 90 cm and the diagonal brace to be 100 cm. was Sam's boss happy with his work? Use mathematics to explain how you determined your answer
Mathematics
1 answer:
zalisa [80]3 years ago
3 0
If it's a perfectly rectangle frame with W = 50 cm & L= 90 cm

So the right diagonal should be √(50² +90²) = √10600 =102.96 cm

as per the calculation the diagonal should have a length of 102.96 cm, but the boss found 100 cm, that means their should be a frame which diagonal equal to 100 cm, short by 2.96 cm, that means short by 2.96/2 = 1.48 cm from the bottom & 1.48 cm from the top (same as well as for the 2nd diagonal)
In this case the boss should be happy

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A hypothesis test was used to see if less than 5% of all Americans would still drive to work if gas prices went above $10.00 a g
Kruka [31]

Answer:

The correct option is;

False

Step-by-step explanation:

Here, we note that the proportion of the test statistic which is used in the test is 5% and the P-value for the test is 0.03

The hypothesis test is meant to check if people will still drive to work when the gas prices are above $10.00 and the suggestion was that we can conclude that when the fuel price is above $5.00 everyone would still drive to work without a P-value for the test, hence we can not come to the stated conclusion.

8 0
2 years ago
Please help!!!! No explanation needed <br> Help is appreciated
Elodia [21]

Answer:

A

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8 0
3 years ago
Nothing I find in my notes or online doesn't show me how to solve this. I know how to set it up, but brainly ain't letting me su
Anon25 [30]

Answer:

x=8

Step-by-step explanation:

Draw it out.... 11x-4=3x+60

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(divide 8 from 64)

x=8

8 0
2 years ago
Which modified box plot represents the data set? 10, 12, 2, 4, 24, 2, 7, 7, 9
Ratling [72]

The fourth option is the answer. When graphed, Min is 2, Q1 is 3, Median is 7, Q3 is 11, and Max is 24. The fourth option is the one that follow all of those!

7 0
3 years ago
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8. You are planning to use a ceramic tile design in your new bathroom. The tiles are blue-and-white equilateral triangles. You d
ira [324]

Step 1

Find the area of one equilateral triangle

Applying the law of sines

Area=\frac{1}{2} *a*b*sin C

in this problem

a=b=7 cm

C=60 degrees

so

Area=\frac{1}{2} *7*7*sin 60

Area=\frac{1}{2} *49*\frac{\sqrt{3}}{2}  \\ Area=49*\frac{\sqrt{3}}{4}cm²

Step 2

To calculate the area of the hexagon multiply the area of one equilateral triangle by 6

Area Hexagon=6*[49*\frac{\sqrt{3}}{4}]  \\ Area Hexagon=73.5*\sqrt{3}cm²

therefore

the answer is the option

73.5 sqrt 3cm²

3 0
3 years ago
Read 2 more answers
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