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3 years ago

A 100-foot ramp is tilted at a 45° angle. How high is the top of the ramp from the ground?

1 answer:

4 0

Setting up a right triangle, the 100 would be the hypotenuse, the 45 would be the angle of elevation, and you're looking for the opposite side.
Sin 45 = x/100
100sin45 = x
100 * ✓(2)/2 = x
50 ✓2 =x
x = 50✓2 ft

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What two numbers have a product of -2 and a sum of 7

Citrus2011 [14]

<em>Greetings from Brasil...</em>

According to the statement of the question, we can assemble the following system of equation:

X · Y = - 2 i

X + Y = 7 ii

isolating X from i and replacing in ii:

X · Y = - 2

X = - 2/Y

X + Y = 7

(- 2/Y) + Y = 7 <em>multiplying everything by Y</em>

(- 2Y/Y) + Y·Y = 7·Y

- 2 + Y² = 7X <em> rearranging everything</em>

Y² - 7X - 2 = 0 <em>2nd degree equation</em>

Δ = b² - 4·a·c

Δ = (- 7)² - 4·1·(- 2)

Δ = 49 + 8

Δ = 57

X = (- b ± √Δ)/2a

X' = (- (- 7) ± √57)/2·1

X' = (7 + √57)/2

X' = (7 - √57)/2

So, the numbers are:

and

7 0

3 years ago

Write the word sentence as an inequality<br> A number y divided by 6 is no more than 2

Sedbober [7]

Answer:

Y/6 <_ 2

Step-by-step explanation:

(Less than it equal to sign)

8 0

2 years ago

What 2 things are recommended in order for you to have a neat graph

Oksana_A [137]

Answer:

use a ruler

buy a graph

Step-by-step explanation:

Not the best answer tho... becuase this useless Mod deleted all my answers randomly

6 0

3 years ago

xz_007 [3.2K]

Answer:

1) $n = 84$

2) $n = 78$

3) $n = 24$

4) $n = 16$

5) $n = 35$

Step-by-step explanation:

To solve each proportion, we apply cross multiplication.

Question 1:

$\frac{5}{12} = \frac{35}{n}$

$5n = 35*12$

Simplifying both sides by 5

$n = 7*12 = 84$

Question 2:

$\frac{n}{52} = \frac{180}{120}$

$120n = 52*180$

Simplifying both sides by 20

$6n = 52*9$

Simplifying by 3

$2n = 52*3$

Simplifying by 2

$n = 26*3 = 78$

Question 3:

$\frac{18}{n} = \frac{21}{28}$

$21n = 18*28$

Simplifying both sides by 7

$3n = 18*4$

Simplifying both sides by 3

$n = 6*4 = 24$

Question 4:

$\frac{n}{4} = \frac{24}{6}$

$\frac{n}{4} = 4$

$n = 16$

Question 5:

$\frac{10}{16} = \frac{n}{56}$

$16n = 56*10$

Simplifying by 2, both sides

$8n = 56*5$

Simplifying by 8, both sides

$n = 7*5 = 35$

4 0

3 years ago

Translate the sentence into an equation

Mrrafil [7]

4b+6=5 —— that’s correct because it’s asking for the sum of 4 times and number and 6=5 and sum is addition

8 0

3 years ago