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Oksi-84 [34.3K]
3 years ago
11

John is constructing a triangle with two sides 5 cm and 7 cm and the included angle is 70°. First, John draws a 5 cm segment on

his paper. He is not sure how to construct the 70° angle. What should he do?
Mathematics
1 answer:
Nat2105 [25]3 years ago
4 0
John should use his protractor to mark off a 70° angle whose vertex is one end of his 5 cm segment. If John is unsure how to do that, he can look up videos on how to use a protractor.

John could also construct a segment 13.74 cm long at the end of his segment that is perpendicular to the one he has. The angle formed between the other end of his 5 cm segment and the end of the 13.74 cm segment will be 70°.

Another choice John has is to draw an arc from each end of his 5 cm segment that has a radius of 7.3 cm. The point where these intersect over the middle of his segment will form an angle of 70° when a segment is drawn from there to the end of his 5 cm segment.
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7 0
2 years ago
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Kate gave 5/6 of her CDs to Sue. Sue gave 7/8 of these to Joan. Joan gave 3/5 of these to Ann. Ann received 70 CDs how many did
olya-2409 [2.1K]
Let us assume the number of CDs Kate had = x
Number of CDs given to Sue = 5x/6
Number of CDs given to Joan = (5x/6) * ( 7/8)
                                                = 35x/48
Number of CDs given to Ann = (35x/48) * (3/5)
                                              = 7x/16
Total number of CDs Ann received = 70
Then
7x/16 = 70
x = 160
From the above deduction, it can be concluded that the number of CDs that Kate originally had was 160. I hope that this is the answer that has actually come to your help.
5 0
3 years ago
You need 120 pieces of chalk for art day. your teacher gar 6 boxes of chalk. Each box he's 18 pieces of chalk. Is that enough ch
Viktor [21]

Answer:

No

Step-by-step explanation:

6 time 180 is only 108

108<120

There is not enough chalk.

6 0
2 years ago
Find the surface area of the composite figure.
Sloan [31]

With the help of the <em>area</em> formulae of rectangles and triangles and the concept of <em>surface</em> area, the <em>surface</em> area of the composite figure is equal to 276 square centimeters.

<h3>What is the surface area of a truncated prism?</h3>

The <em>surface</em> area of the <em>truncated</em> prism is the sum of the areas of its six faces, which are combinations of the areas of rectangles and <em>right</em> triangles. Then, we proceed to determine the <em>surface</em> area:

A = (12 cm) · (4 cm) + 2 · (3 cm) · (4 cm) + 2 · (12 cm) · (3 cm) + 2 · 0.5 · (12 cm) · (5 cm) + (5 cm) · (4 cm) + (13 cm) · (4 cm)

A = 48 cm² + 24 cm² + 72 cm² + 60 cm² + 20 cm² + 52 cm²

A = 276 cm²

With the help of the <em>area</em> formulae of rectangles and triangles and the concept of <em>surface</em> area, the <em>surface</em> area of the composite figure is equal to 276 square centimeters.

To learn more on surface areas: brainly.com/question/2835293

#SPJ1

7 0
1 year ago
Solve the system of linear equations by substitution.<br> 3x + y = -9<br> y=5x+7
11Alexandr11 [23.1K]

Answer:

The solution is x = -2, y = -3

Step-by-step explanation:

Let's start with the equation 3x + y = -9

Substitute the y for 5x+7 seen in the second equation

Now you have 3x + (5x+7) = -9

Lets solve:

Let's add the x's

Now we have 8x + 7 = -9

Substracy seven from each side

Now we have 8x = -16

Now let's divide 8 on each side

Now we have x = -2

Now lets plug in -2 to the second equation

The second equation is y = 5x+7

When we plug in -2 we get y=5(-2)+7

We multiply

We now have y = -10+7

Add

y = -3

The solution is x = -2, y = -3

8 0
2 years ago
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