Answer:
The surface area of the given pyramid is 112
.
Step-by-step explanation:
Base length of the pyramid = 4 inches
Area of the base = 
= 
= 16
Area of its base = 16 
Area of one of its triangular surface =
x base x height
=
x 4 x 12
= 2 x 12
= 24 
Area of all its four triangular surfaces = 4 x 24
= 96 
surface area of the pyramid = sum of areas of all its surfaces
= 16 + 96
= 112 
The surface area of the given pyramid is 112
.
Answer:
Step-by-step explanation:
6x + 3y = -18
Taking 3 common from left side
so, 3(2x+y) = -18
2x+y = -18/3
2x+y = -6 (equation 1)
and, 7x + 7y = 0
Taking 7 as commom from left side
7(x + y) = 0
x + y = 0/7
x + y = 0 (equation 2)
now , by using elimination method
subtracting equation2 from equation1
2x + y - (x + y)= -6 - 0
2x + y - x - y = -6
x = -6
so, x = -6
substituting value of x in equation 1
2(-6) + y = -6
-12 + y = -6
y = -6 +12
y = 6
hence, the value of x = -6
and value of y = 6
Answer:
Hose A fills at a rate of 10 gal per min
Hose B fills at a rate of 8 gal per min
Hose B fills at a faster rate
Step-by-step explanation:
From the graph, the domain of the function will be {x| x = −2,1}. Then the correct option is D.
<h3>What is an asymptote?</h3>
An asymptote is a line that constantly reaches a given curve but does not touch at an infinite distance.
From the graph, the domain of the function will be
The function is not defined for x = 2 and x = -1.
Then the domain will be
{x| x = −2,1}
Then the correct option is D.
More about the asymptote link is given below.
brainly.com/question/17767511
#SPJ1
Answer:
5 1/3 or 5.33333333333333333333333333333333333333333333333333333
Step-by-step explanation:
to find the scale factor, you must divide the two equal sides.

which equals
or 0.75
Now, the way to get the value of x is to divide 4 by 3/4 0r 0.75
Which equals
5.333 repeating or 5 1/3
Hope this helps. If you have any follow-up questions, feel free to ask.
Have a great day! :)