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2 years ago

The base of a 40-foot ladder is 8 feet from the wall. How high is the ladder on the wall (round to the nearest foot)?

Mathematics

1 answer:

Pavel [41]2 years ago

4 0

Answer:

Around 39.2

Step-by-step explanation:

To do this question, you use the pythag theorem, a^2 + b^2 = c^2. You have the hypotenuse of the triangle, 40 feet in length, and you have a because it's 8 feet from the wall. You now have b^2 = 1600-64. b^2 = 1536. Take the square root, and you have the height of the latter on the wall is equal to 39.1918 or 39.2 rounded

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PLEASE I BEG FOR HELP! Find mKNL A. 247 B. 184 C. 196 D. 264

fiasKO [112]

Answer:

D. 264°

Step-by-step explanation:

When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs. Therefore,

60° = 1/2[(18x - 6)° - (5x +17)°]

60° * 2 = (18x - 6 - 5x - 17)°

120° = (13x - 23)°

120 = 13x - 23

120 + 23 = 13x

143 = 13x

143/13 = x

11 = x

x = 11

(18x - 6)° = (18*11-6)°= (198 - 6)° = 192°

(5x +17)° = (5*11 +17)° =(55+17)° = 72°

m (arc KNL) = (18x - 6)° + (5x +17)° = 192° + 72°

m (arc KNL) = 264°

7 0

2 years ago

Write the equation for the line whose slope is -1/4 and goes through the point (-2,6)

Kryger [21]

Answer:

$y = -\frac{1}{4} + \frac{11}{2}$

Step-by-step explanation:

use y = mx + b where:

y = y-coordinate = 6

m = slope = -1/4

x = x-coordinate = -2

b = y-intercept = what we're solving for to complete the equation

plug the values into the equation

$6 = -\frac{1}{4}(-2) + b$ multiply $-\frac{1}{4}$ and 2

$6 = \frac{1}{2} + b$ subtract $\frac{1}{2}$ from both sides

$b = \frac{11}{2}$

now we plug m and b into the equation and leave x and y as variables to get the final equation:

$y = -\frac{1}{4} + \frac{11}{2}$

8 0

3 years ago

By determining f prime left parenthesis x right parenthesis equals ModifyingBelow lim With h right arrow 0 StartFraction f left

aniked [119]

Answer:

70 is answer

Step-by-step explanation:

Given that a function in x is

$f(x) = 5x^2$

we have to find f'(7)

we know by derivative rule derivative of a function is

$f'(x) = lim_({h-->0}) \frac{f(x+h)-f(x)}{h}$

For finding out at 7 we replace x by 7

$f'(7) = lim_({h-->0}) \frac{f(7+h)-f(7)}{h}$

= $lim\frac{5(7+h)^2-5*7^2}{h} \\= lim \frac{10h*7+h^2}{h} \\= 70+h = 70$

So f'(7) = 70

answer is 70

3 0

3 years ago

Read 2 more answers

Find r if 3(r - 7) = 4(2 - 2r) + 4

Arturiano [62]

Answer:

r=3

Step-by-step explanation:

3(r - 7) = 4(2 - 2r) + 4

Distribute

3r -21 = 8 -8r +4

Combine like terms

3r -21 = 12 -8r

Add 8r to each side

3r +8r-21 = 12 -8r+8r

11r -21 = 12

Add 21 to each side

11r -21+21 =12+21

11r = 33

Divide each side by 11

11r/11 = 33/11

r = 3

4 0

3 years ago

Read 2 more answers

The rectangle is divided into 4 equal parts. What is the name of the 4 equal parts?

galina1969 [7]

Hello,

The answer would be "squares".

Reason:

A rectangle divided into four equal parts would be four squares therefore the answer is squares.

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

3 0

2 years ago