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nydimaria [60]
2 years ago
14

A 15-foot ladder is leaning against a house. the base of the ladder is 4 feet from the house. to the nearest tenth of a foot, ho

w high does the top of

Mathematics
1 answer:
adell [148]2 years ago
3 0
The correct question is
<span>A 15-foot ladder is leaning against a house. the base of the ladder is 4 feet from the house. to the nearest tenth of a foot. </span>How high up the house does the ladder reach?

see the picture attached to better understand the problem

applying the Pythagoras Theorem
15²=4²+h²-----> h²=15²-4²-----> h²=225-16----> h=√209
h=14.46 ft------> h=14.5 ft

the answer is
14.5 ft

You might be interested in
The mean cost of a five pound bag of shrimp is 40 dollars with a standard deviation of 7 dollars. If a sample of 51 bags of shri
eimsori [14]

Answer:

P(|\bar{x}-40| > 0.6)=0.5404

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 40 dollars

Standard Deviation, σ = 7 dollars

Sample size,n = 51

We are given that the distribution of cost of shrimp is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling =

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{7}{\sqrt{51}} = 0.9801

P(sample mean would differ by true mean by more than 0.6)

P(|\bar{x}-40| > 0.6)\\\Rightarrow = 1-P(39.4

P(39.4 \leq x \leq 40.6) \\\\= P(\displaystyle\frac{39.4 - 40}{0.9801} \leq z \leq \displaystyle\frac{40.6-40}{0.9801})\\\\ = P(-0.6121 \leq z \leq 0.6121)\\= P(z \leq 0.6121) - P(z < -0.6121)\\= 0.7298 - 0.2702 =0.4596

P(|\bar{x}|-40 > 0.6)\\= 1-0.4596=0.5404

0.5404 is the required probability.

4 0
3 years ago
Please answer this! Im desperate UvU,
Ratling [72]
Part A:

x=5
4x-1 ≤19
4(5)-1 ≤19
20-1 ≤19
19 ≤19

x=5
4x-1<19
4(5)-1<19
19<19

Explanation:
In problem one the greater then symbol has a line under it, this means that the symbol now means greater then or equal to. Since 19 is equal to 19 it is correct. In problem to the greater then symbol has no line under it meaning it only means greater then. Since 19 is not greater then 19 it is false.
So basically the difference is:
≤ = greater then or equal to
< = greater then


Part B:
5x+2=47
-2 -2
5x=45
/5 /5
x=9

Explanation:
Since when you solve the equation x=9 the value 9 from the set makes the equation.


Hope this helped :)
6 0
2 years ago
Which expression is equivalent to 6 (x+2y) + 3 + 4y + 5 a.8x + 4y + 8 b.6x + 16y + 8 c. 8x + 7y + 5 d.6x +6y +8
yarga [219]

Answer:

6x + 16y + 8

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Find the minimum y-value on the graph of y=f(x)<br><br> F(x) = 7x^2 + 7 - 6
Kisachek [45]

Answer:

The minimum y-value is

y=-\frac{31}{4}  or  y=-7.75

Step-by-step explanation:

we have

f(x)=7x^{2}+7x-6

This is the equation of a vertical parabola open up

The vertex is the minimum y-value on the graph

Convert the equation into vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

f(x)+6=7x^{2}+7x

Factor the leading coefficient

f(x)+6=7(x^{2}+x)

Complete the square. Remember to balance the equation by adding the same constants to each side

f(x)+6+1.75=7(x^{2}+x+0.25)

f(x)+7.75=7(x^{2}+x+0.25)

Rewrite as perfect squares

f(x)+7.75=7(x+0.5)^{2}

f(x)=7(x+0.5)^{2}-7.75 ------> equation in vertex form

The vertex is the point (-0.5,-7.75)

therefore

The minimum is the point (-0.5,-7.75)

The minimum y-value is y=-7.75=-7\frac{3}{4}=-\frac{31}{4}

see the attached figure to better understand the problem

6 0
3 years ago
160 prime factors in ascending order
igor_vitrenko [27]

I'd arbitrarily begin by writing the factors 10 and 16.  These, in turn, factor to 2 and 5.  That's all we need to do here to form the product 160, using 5 once and 2 several times:

160 = 5 * 2^5

4 0
3 years ago
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