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Bas_tet [7]
3 years ago
14

The top of a ladder rests at a height of 15 feet against the side of a house. If the base of the ladder is 6 feet from the house

, what is the length of the ladder? Round to the nearest foot.
Mathematics
1 answer:
Advocard [28]3 years ago
4 0

Answer:

The length of the ladder is 16\ ft

Step-by-step explanation:

Let

L ----> the length of the ladder

we know that

Applying the Pythagoras theorem

L^{2}=15^{2} +6^{2}

L^{2}=261

L=\sqrt{261}\ ft

L=16\ ft

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Scheels has a kayak that regularly sells for $389. Every Friday in November it was marked down by 32%. What is the amount of dis
Y_Kistochka [10]

Answer:

1. $264.52 is the remaining 68%

2. Sales tax is $19.83

3. The total price is 283.83

Explanation:

1. 389 times 0.68 will get you an answer of $264.52

2. 264.52 times 0.075 is $19.83

3. Add your two answers of $264.52 and $19.83 and you'll get your answer of $283.83

8 0
3 years ago
It costs $100 to rent a bowling alley, plus $4 per person. The cost for any number (n) of people can be found using the expressi
AfilCa [17]

15*4+100

15+15+15+15 = 60

60+100 =

$160

7 0
3 years ago
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Identify the solution(s) of the system of equations, if any. -4x-2y=16 2y=-4x-16
Elodia [21]
-4x-2y = 16
2y = -4x-16

Get one variable alone on both equations

-4x - 16 = 2y
-4x - 16 = 2y

You'll realize that they're the same equation.
Use substitution

-4x-16 = -4x-16
0 = 0
x = all solutions

Use x = all solutions in an earlier equation to find y

-4x - 16 = 2y
SInce x can be all solutions y is also all solutions
y = all solutions
8 0
3 years ago
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Y = 2×2square+ 4× - 2 value
Crazy boy [7]

Answer:

y=2(2x+3)

Step-by-step explanation:

y=2*2^2+4x-2

y=8+4x-2

y=4x+6

y=2(2x+3)

6 0
3 years ago
In a certain breed of cattle, the length of gestation has a mean of 284 days and a standard deviation is 5.5 days. One length of
Alenkinab [10]

Answer:

The statement that best interprets the z-score is;

D. The length of the gestation period was shorter than the mean length of gestation period by 1.7 standard deviations

Step-by-step explanation:

The given parameters are;

The length of the gestation period of the cattle breed = 284 days

The standard deviation = 5.5 days

The z-score of one length of gestation period was z = -1.70

The formula for finding the z-score, z is presented as follows

Z=\dfrac{x-\mu }{\sigma }

Where;

x = The observed value for the gestation period

μ = The sample mean length for the gestation period = 284

σ = The gestation period standard deviation = 5.5

When Z = -1.70, we have;

-1.70 =\dfrac{x-\mu }{\sigma }

∴ x - μ = -1.7 × σ

∴ x is shorter than μ by 1.7×σ

Therefore, the length of the gestation period, x, was shorter than the mean length of gestation period, μ, by 1.7 standard deviations, σ.

8 0
2 years ago
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