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disa [49]
3 years ago
7

Each unit on the grid represents 2 kilometers. Find thedistance between Gabe's house and the library?

Mathematics
1 answer:
Lina20 [59]3 years ago
5 0

Answer:

8km

Step-by-step explanation:

there are 4 unit between Gabe's house and the library so distance is 4×2=8km

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4. The figure represents a ramp. Find the height of the ramp.
IgorLugansk [536]
Notice that the triangle is a right triangle, because of the right angle. By the Pythagorean Theorem, a^2+b^2=c^2. Then 15^2+b^2=17^2\implies 225+b^2=289\implies b^2=64\implies b=8, d. 8 m
3 0
3 years ago
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An author is writing and illustrating a new book. The ratio of pages with text to pages with illustrations is represented in the
Nitella [24]

Answer:

Th number of pages is 33

Step-by-step explanation:

The ratio of the number of pages of text shown in the  illustration is 3:2. This implies that for every 2 pages of illustrations, there are 3 pages of text. Therefore, for 22 pages of illustration we shall have;

2 page of illustration = 3 page of text

Then

22 page of illustration  =  x pages of text

Then by Cross multiplication

22 \times 3 = x \times 2

66 = 2x

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4 0
3 years ago
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Find the distance from the origin to the graph of 4x-y+8=0
kupik [55]

Answer:

x=\frac{1}{4}y-2

Step-by-step explanation:

x= 1 over 4y-2

8 0
3 years ago
Task 1:
OleMash [197]

Answer:

maximum height is 4.058 metres

Time in air = 0.033 second

Step-by-step explanation:

Given that the equation height h

h = -212t^2 + 7t + 4

What is the toy's maximum height?

Let us assume that the equation is a perfect parabola

Time t at Maximum height will be

t = -b/2a

Where b = 7 and a = - 212

t = -7/ - 212 ×2

t = 7/ 424 = 0.0165s

Substitute t in the main equation

h = - 212(7/424)^2 + 7(7/424) + 4

h = - 0.05778 + 0.115567 + 4

h = 4.058 metres

Therefore the maximum height is 4.058 metres

How long is the toy in the air?​

The object will go up and return to the ground.

At ground level, h = 0

-212t^2 + 7t + 4 = 0

212t^2 - 7t - 4 = 0

You can factorize the above equation and pick the positive time t since time can't be negative

Or

Since we have assumed that it's a perfect parabola,

Total time in air = (-b/2a) × 2

Time in air = 0.0165 × 2 = 0.033 s

3 0
3 years ago
Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use
sweet [91]

Answer:

54 in

Step-by-step explanation:

9 inches x 6 inches

5 0
2 years ago
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