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hoa [83]
3 years ago
13

The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the

height h that the ladder reaches up the wall is L = StartRoot d squared + h squared EndRoot. What height on the wall will a 15-foot ladder reach if it is placed 3.5 feet from the base of a wall?
11.5 feet
13.1 feet
14.6 feet
15.4 feet
Mathematics
2 answers:
Kazeer [188]3 years ago
6 0

Answer:

the answer is c on edge

Step-by-step explanation:

anygoal [31]3 years ago
4 0

Answer:

<u>The correct answer is C. 14.6 feet</u>

Step-by-step explanation:

Information given to solve the case:

Length of the ladder = 15 feet

Distance from the base of the wall = 3.5 feet

Using the Pythagorean theorem for finding the height, because this is a right triangle:

h² = Length of the ladder ² - Distance from the base of the wall ²

h² = 15 ²  - 3.5 ²

h² = 225  - 12.25

h² = 212.75

h = √ 212.75

h = 14.59

<u>h = 14.6 feet (Rounding to one decimal place)</u>

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larisa86 [58]
6 2/3 is the answer I hope this helps

3 0
3 years ago
1.If a line with a slope of -3 crosses the y-axis at (0,7), what is the equation of the line?
gogolik [260]

y = mx + b    "m" is the slope, "b" is the y-intercept (the y value when x = 0)


1. slope: -3

y-intercept: 7

y = -3x + 7

Your answer is B

y + 3x = 7   Subtract 3x on both sides

y = -3x + 7


2. y + 9(x + 3) = 0     Multiply/distribute 9 into (x + 3)

y + 9x + 27 = 0      Subtract 9x and 27 on both sides to get "y" by itself

y = -9x - 27

slope: -9

y-intercept: -27 or (0,-27)

Your answer is D


3. Point-slope form:   y - y₁ = m(x - x₁)

slope: -11

(x₁ , y₁) = (-5, 7)


y - 7 = -11(x - (-5))  The two negative signs becomes a positive

y - 7 = -11(x + 5)

Your answer is C


4. For this question, I think you get it from point-slope form to slope-intercept form (I'm not sure, but you still get the same answer if you just do slope-intercept form)

slope: -4

(x₁ , y₁) = (2, -8)


y - y₁ = m(x - x₁)

y - (-8) = -4(x - 2)

y + 8 = -4(x - 2)     Multiply/distribute -4 into (x - 2)

y + 8 = -4x + 8       Subtract 8 on both sides to get "y" by itself

y = -4x

Your answer is A

3 0
3 years ago
The lengths of the sides of a triangle are in the extended ratio 8 ​: 9 ​: 10. The perimeter of the triangle is 108 cm. What are
ValentinkaMS [17]

Answer:

A(8)=32cm

B(9)=36cm

C(10)=40cm

Step-by-step explanation:

let 8:9:10=A:B:C

∑ratios=8+9+10=27

Therefore lengths or triangles:-

Length A=\frac{A}{A+B+C}*108\\               =32\\Length B= \frac{B}{A+B+C}*108\\                =36\\Length C=\frac{C}{A+B+C}*108\\               =40

6 0
3 years ago
A fair dice is rolled.
denis23 [38]

Answer:

1/2

Step-by-step explanation:

The factors of 8 are 1,2,4

So there are three factors of 8 on the dice

There are a total of 6 numbers on the dice

So the probability is ,3/6

Which in its simplest form is 1/2

4 0
3 years ago
width of picture 7 3/5 cm. to fit in the frame the picture cannot be more than 7 3/10 cm. how much should the picture be trimmed
marusya05 [52]

Answer:

1/5

Step-by-step explanation:

width of picture 7 3/5 cm. to fit in the frame the picture cannot be more than 7 3/10 cm. how much should the picture be trimmed

Given that :

Original Width of picture = 7 3/5 cm

Width required for picture to fit into frame=7 3/10

For picture to fit into frame:

(7 3/5 - 7 3/10) must be trimmed off from the frame.

(7 3/5 - 7 3/10)

(7 - 7) = 0

(3/5 - 3/10)

Taking the L. C. M

(6 - 3) / 10

= 2 / 10

= 1/5

THEREFORE, 1 / 5 of the width should be trimmed in other to ensure the picture fits into the frame.

8 0
3 years ago
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