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Goryan [66]
2 years ago
9

The bottom end of a ramp at a warehouse is 10 feet from the base of the main dock and is 11 feet long.

Mathematics
1 answer:
Otrada [13]2 years ago
5 0

Answer:

The dock is 4.58 ft high

Step-by-step explanation:

we know that

Applying the Pythagoras theorem

Let

x------> the height of the dock

11^2=x^2+10^2

Solve for x

x^2=11^2-10^2

x^2=121-100

x^2=21

x=\sqrt{21} ft

x=4.58 ft

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4 0
2 years ago
15. Find the length of segment DE of the triangle ABC.
ruslelena [56]

Answer:

Option C. 26\ units

Step-by-step explanation:

we know that

Triangles ADE and ABC are similar by AA similarity postulate

AB=2AD

Apply proportion

\frac{AD}{AB}=\frac{8x-6}{12x+4}\\ \\\frac{AD}{2AD}=\frac{8x-6}{12x+4}\\ \\\frac{1}{2}=\frac{8x-6}{12x+4}\\ \\12x+4=16x-12\\ \\16x-12x=4+12\\ \\4x=16\\ \\x=4\ units

Find the length of segment DE

DE=8x-6=8(4)-6=26\ units

4 0
3 years ago
What is the equation of the line that passes through the point (4, 3) and is perpendicular to the line x + y = 4?
zimovet [89]
ANSWER

y - x = - 1

EXPLANATION

The required equation passes through:

(4,3) and is perpendicular to x+y=4.

Rewrite the given equation in slope-intercept form:

y = - x + 4

The slope of this line is -1.

The slope of the required line is perpendicular to this line, so we find the negative reciprocal of this slope.

m= - \frac{1}{ - 1} = 1

The equation of the line can be found using:

y - y_1 = m(x - x_1)

We substitute the slope and point to obtain:

y - 3 = 1(x - 4)

We simplify to get:

y - 3 = x - 4

y - x = - 4 + 3

The required equation is

y - x = - 1
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3 years ago
One angle of an isosceles triangle measures 50°. Which other angles could be in that isosceles triangle? Choose all that apply
Kisachek [45]

Answer:

Step-by-step explanation:

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2 years ago
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Answer: The answer is 6 and 4.

Step-by-step explanation:

6 0
3 years ago
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