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
dolphi86 [110]
3 years ago
6

The front of an a-frame house is in the shape of a triangle.The height of the house is 20 feet.The area of the front of the a-fr

ame is 600 square feet.Write and solve an equation to find the base of the A-frame house
Mathematics
1 answer:
FinnZ [79.3K]3 years ago
4 0
So, you have a triangular a-frame. The height is 20 feet, and the area is 600 square feet. The area of a triangle is represented by this equation:

\frac{1}{2} *b*h

Where:
- b is the base length
- h is the height

So, basically just plug things in:

You might be interested in
How would I go about solving this problem???
schepotkina [342]
So.. if you take a peek at the picture below

the trunk is really just a half-cylinder on top of a square, with a depth of 2 meters

what's the volume?   well, easy enough, take the volume of the cylinder, then half it
take the volume of the rectangular prism, and then add them both

\bf \textit{volume of a cylinder}\\\\

\begin{array}{llll}
C=\pi r^2 h\\\\
\textit{half that}\\\\
\cfrac{\pi r^2 h}{2}
\end{array}\qquad 
\begin{cases}
r=radius\\
h=height\\
-------\\
r=\frac{1}{2}\\
h=2
\end{cases}\implies \cfrac{C}{2}=\cfrac{\pi \left(  \frac{1}{2}\right)^2 2}{2}\\\\
-----------------------------\\\\
\textit{volume of a square}\\\\
V=lwh\qquad 
\begin{cases}
l=length\\
w=width\\
h=height
----------\\
l=1\\
w=1\\
h=2
\end{cases}\implies V=2



now.. for the surface area... \bf \textit{surface area of a cylinder}\\\\
\begin{array}{llll}
S=2\pi r(h+r)\\\\
\textit{half that}\\\\
\cfrac{2\pi r(h+r)}{2}
\end{array}\begin{cases}
r=radius\\
h=height\\
-------\\
r=\frac{1}{2}\\
h=2
\end{cases}

now.. for the surface area of the prism... well

is really just 6 rectangles stacked up to each other at the edges

so... get the area of the lateral rectangles, and the one at the bottom, skip the rectangle atop, because is the one overlapping the cylinder, and is not outside, and thus is not surface area then

for the lateral ones, you have a front of 1x1, a back of 1x1 and a left of 1x2 and a right of 1x2, and then the one at the bottom, which is a 1x2

then add both surface areas, and that's the surface area of the trunk

5 0
3 years ago
If point P(3,10) is reflected across the line y=1, what are the coordinates of it's reflection image ?
aliya0001 [1]
<span>If point P(3,10) is reflected across the line y=1, the coordinates of it's reflection image is (3,-8)

Answer is C.
Hope it helps!
</span>
3 0
3 years ago
Read 2 more answers
Order these units from smallest to largest:
Veronika [31]
The units are ordered smallest to largest from top to bottom:
Picometer (pm) = 1 x 10⁻¹² meters
Nanometer (nm) = 1 x 10⁻⁹ meters
Micrometer (um) = 1 x 10⁻⁶ meters
Millimeter (mm) = 1 x 10⁻³ meters
Centimeter (cm) = 1 x 10⁻² meters
Decimeter (dm) = 1 x 10⁻¹ meters
Meters (m) = 1 meter
Kilometers (Km) = 1 x 10³ meters
7 0
4 years ago
Determine the intercepts of the line.
Strike441 [17]

Answer:

Step-by-step explanation:

An intercept is where the line hits the axis.

Lets start with x. The x intercept is always going to be what x equals when y = 0. So we know the second value of the x intercept is going to be 0, because the second value is y. The line hits the x axis at -1.2, so the x intercept is -1.2, 0

The y intercept it what y equals when x equals 0. So the first value is going to be 0, to represent x. The line hits the y intercept at the point 0, -0.7.

3 0
3 years ago
What are congruence of a triangle
Katen [24]

Answer:

it is when two triangles are similar to each other in every way.

Mainly there are 4 TYPES OF CONGRUENCY.(A.A.S, S.S.S, R.H.S, S.A.S )

6 0
3 years ago
Other questions:
  • Find the value of x<br> PLEAASEEE HELP!!!
    8·1 answer
  • 100,000 less than 560,313 is
    15·2 answers
  • Find the mean deviation of 3 ,6 ,6,7,8,11,15,16​
    5·1 answer
  • What is the value of n in the equation 2.3 × 109 = (1 × 103)(2.3 × 10n)?
    10·1 answer
  • Solve the equation 9=8(n+4)-7
    10·1 answer
  • 15 Points!!!!! I need help on this :D
    5·2 answers
  • research to find foods that are made using microorganisms. Choose one such food. Write a paragraph explaining how microorganisms
    7·1 answer
  • 5(2 + 5) = 6 − 10 – solve for x please show your work
    6·1 answer
  • The table shows the mass in grams of one at of each of several elements. List the elements in order from least mass to greatest
    12·1 answer
  • PLEASE HELP!!<br> Find the area of the square
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!