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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

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Please help me to answer these questions!! Thank you in advance.
oksano4ka [1.4K]
1. 
5u - 2u = 3u (diff. between longest and shortest)
3u = 87cm
1u = 87cm ÷ 3 = 29cm
5u + 4u + 2u=11u
11u = 11 x 29cm = 319cm

Ans: 319cm

2.
9u = 1350
1u = 1350 ÷ 9 = 150
6u + 5u = 11u
11u = 11 x 150 = 1650

Ans: 1650


8 0
3 years ago
A bag of rice weights 3.18 lbs find its mass in kilograms
Tamiku [17]
\bf \begin{array}{ccll}&#10;lbs&kgs\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;2.2&1\\&#10;3.18&k&#10;\end{array}\implies \cfrac{2.2}{3.18}=\cfrac{1}{k}\implies k=\cfrac{3.18\cdot 1}{2.2}
3 0
3 years ago
Arianna is working two summer jobs, making $6 per hour walking dogs and making $10 per hour tutoring. In a given week, she can w
Mice21 [21]

Step-by-step explanation:

x = number hours dog walking

y = number hours tutoring

x + y <= 11

6x + 10y >= 80

the solution is the common area below the first line and above the second line.

the first line is above the second line (due to the y-intercept of 11 vs. 8) until the crossing point.

for the crossing point we use the regular equations :

from the first we get

x = 11 - y

using this in the second

6×(11 - y) + 10y = 80

66 - 6y + 10y = 80

4y = 14

y = 14/4 = 7/2 = 3.5

x = 11 - y = 11 - 3.5 = 7.5

so, she has to do at least 3.5 hours tutoring (and then 7.5 hours dog walking) for the minimum of $80 earning, all the way up to the maximum of 11 hours tutoring (and 0 dog walking) for $110 earning.

8 0
2 years ago
Simplify: 6y + 5z + 8y – 3z
mezya [45]
Combine like terms. 6y + 8y is 14y. 5z - 3z is 2z. so the answer is 14y + 2z.
4 0
3 years ago
Read 2 more answers
Given f(x)=x-10 . what is f(-7)?
Tomtit [17]
F(-7) = -7 - 10

f(-7) = -17


Hope I helped!

Let me know if you need anything else!

<span>~ Zoe (Rank:'Genius')</span>
8 0
3 years ago
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