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Mekhanik [1.2K]
3 years ago
8

John finished 3/4 pages of his homework in 2/3 of an hour. How many hours will it take him to finish 3 pages of homework? (in a

unit rate)
Mathematics
1 answer:
kykrilka [37]3 years ago
7 0

Answer:

hehejejejejejejejejeheheheheheStep-by-step explanation:

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1. Bob tried to answer the following question by finding the missing angle and rounding the answer to the nearest degree.
iren2701 [21]

Answer:

Part 1)

Bob's mistake was to have used the cosine instead of the sine

The measure of the missing angle is 53.13\°

Part 2) The surface area of the pyramid is 288\ cm^{2}

Step-by-step explanation:

Part 1)

Let

x----> the missing angle

we know that

In the right triangle o the figure

The sine of angle x is equal to divide the opposite side angle x to the hypotenuse of the right triangle

sin(x)=\frac{16}{20}

x=arcsin(\frac{16}{20})=53.13\°

Bob's mistake was to have used the cosine instead of the sine

Part 2) we know that

The surface area of the square pyramid is equal to the area of the square base plus the area of its four lateral triangular faces

so

SA=b^{2}+4[\frac{1}{2}(b)(h)]

where

b is the length side of the square

h is the height of the triangular lateral face

In this problem

h=b/2 -------> by an 45° angle

so

b=2h

sin(45\°)=\frac{h}{6\sqrt{2}}

h=6\sqrt{2}(sin(45\°))=6\ cm

Find the value of b

b=2(6)=12\ cm

Find the surface area

SA=12^{2}+4[\frac{1}{2}(12)(6)]=288\ cm^{2}

3 0
3 years ago
Work out m and c for the line:<br> y=4 - X
Sophie [7]

Answer: im a adult

\

Step-by-step explanation:

3 0
3 years ago
If a freight train travels at a speed of 20 miles per hour for 6 hours, how far will it travel? A 120 miles B 80 miles C 26 mile
kaheart [24]

Answer: The answer is A

Step-by-step explanation: Because 6*20= 120

7 0
3 years ago
Identify the X intercept and the yIntercept of the line 4x-2y=-12
sammy [17]

Answer:

X-intercept = -3 and y-intercept = 6

Step-by-step explanation:

We can start off by isolating the y term. To do that, we must add 2y to both sides to get

4x=2y-12

Now, we must add 12 to both sides and the y term will be all alone on the right side:

4x+12=2y

Now, to have only y on the right side, we must divide by 2 to get:

y=2x+6

In slope-intercept form, b is the y-intercept, and 'b' in this equation is 6. We have our y-intercept.

To find our x-intercept, y must be equal to zero. We can plug in that value for y and solve for x:

0=2x+6

We can start off by subtracting 6 from both sides to get:

2x=-6

We can then divide both sides to get x=-3 when y is equal to 0. Thus, we have our x-intercept.

5 0
2 years ago
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I just need the letter that matches the number, I ard did a few
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Shrink vertically by a factor of 1/4
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