1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
soldier1979 [14.2K]
3 years ago
13

The architects side view drawing of a saltbox-style house shows a post that supports the roof ridge. The support post is 10 ft t

all. How far from the front of the house is the support post positioned?
The distance between the front and the back of the house is 25 ft

Mathematics
2 answers:
pochemuha3 years ago
8 0
These calculations are based on the drawing of the file enclosed.

There are three right triangles.

From the big right triangle:

a^2 + b^2 = 25^2

From the small right triangle on the left side:


(25-x)^2 + 10^2 = a^2

From the small right triangle on the right side

x^2 +10^2 = b^2

=> (25-x)^2 + 10^2 + x^2 + 10^2 = a^2 + b^2

=> (25-x)^2 + 10^2 + x^2 + 10^2 = 25^2

=> 25^2 - 50x + x^2 + 10^2 + 10^2 = 25^2

=> x^2 -50x + 100 =0

Use the quadratic formular to find the roots:

x = 2.1 and x = 47.9

Distance from back: 25 - 2.1 = 22.9 ft

Answer: 22.9 ft
zhenek [66]3 years ago
4 0
<h2>Answer:</h2>

<u>The support post positioned</u><u> 23 feet</u><u> far from the front of the house</u>

<h2>Step-by-step explanation:</h2>

According to Pythagoras Theorem

<h3>(Hypotenuse)² = (Base)² + ( Perpendicular)²</h3>

We need to find Base so arranging the equation will give us

(Base)² = (Hypotenuse)² -  ( Perpendicular)²

Taking under root on both sides

Base =  √(Hypotenuse)² -  ( Perpendicular)²

Base =  √ (625 - 100)

Base = √525

<h3>Base = 23 feet</h3>

You might be interested in
What is −29.9 ÷ 4=
lisabon 2012 [21]

Answer:

b

Step-by-step explanation:

5 0
3 years ago
Lucy have $6400 if she invests<br> $1200 at 15% interest<br> compounded quarterly?
svet-max [94.6K]

Answer:

  11.4 years

Step-by-step explanation:

We assume you want to know the time it takes for Lucy's investment of $1200 to have a value of $6400. The compound interest formula is good for finding that.

  FV = P(1 +r/n)^(nt)

for principal P invested at rate r per year for t years, compounded n times per year. We want to find t such that ...

  6400 = 1200(1 +0.15/4)^(4t)

  16/3 = 1.0375^(4t) . . . . divide by 1200

  log(16/3) = 4t·log(1.0375) . . . . take logarithms

  t = log(16/3)/(4·log(1.0375)) ≈ 11.4

It will take about 11.4 years for Lucy's investment value to be $6400.

8 0
3 years ago
Someone help me please I don't know how to do this ! :(
Ivanshal [37]
4^{x+1}=21\\&#10;x+1=\log_421\\&#10;x=\log_421-1\\&#10;x=\log_421-\log_44\\&#10;x=\log_4\dfrac{21}{4}\\&#10;x=\dfrac{\ln \dfrac{21}{4}}{\ln 4}\approx 1.1962
5 0
3 years ago
Pls help me this assignment is due in 20 mins I will give you brainliest
oksano4ka [1.4K]
A c and d are the answers
8 0
2 years ago
Which of the following makes the most per hour?
Flura [38]
In order they make 20$/hr, 5$/h, 10$/hr, and 30$/hr.  The last one makes the most by far!
5 0
3 years ago
Other questions:
  • What 76 rounded to the nearest 10
    9·2 answers
  • Aubrey's dinner cost $85. She tips the waitstaff 30% for excellent service.
    5·2 answers
  • In 2000 there were approximately 27 million people 18-24 years old in the United States.
    13·1 answer
  • Solve the equation please 2(3x+5)=46
    9·2 answers
  • My friend and I are confused.
    9·1 answer
  • Draw an array then write a fact family to describe your array
    9·2 answers
  • At Robin's Snow Cones, the shaved ice portion of the cone is shaped like a perfect sphere with a diameter of 8
    12·1 answer
  • What is the measure of an exterior angle in a regular polygon with 15 sides?
    7·2 answers
  • Factors of 54 and 36 all factors correct = brainliest answer
    14·1 answer
  • A formula is an equation stating that a single variable is equal to an expression. Distance traveled (<img src="https://tex.z-dn
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!