Answer:
Below in bold.
Step-by-step explanation:
First find the height by use Pythagoras theorem on the right triangle:
h = sqrt (5^2 - 4^2)
= sqrt 9
= 3.
Volume of the prism = area of the triangle * length
= 1/2 * 3 * 4 * 10
= 1/2 * 12 * 10
= 60 cm^3.
Total area = area of 2 triangles + area 0f 3 rectangles
= 2 * 1/2 * 3 * 4 + 3 * 10 + 4 * 10 + 5 * 10
= 12 + 30 + 40 + 50
= 132 cm^2.
This is good information, but the question part is missing. Put the question in the comments and I'll try my best to help!
Answer:
p = 17.5
Step-by-step explanation:
This is the answer because:
1) First, we have to isolate x
2) To isolate x, first -6 from +6 and 48
+6 - 6 = 0
48 - 6 = 42
Equation: 2.4p = 42
3) Now we are left with 2.4p = 42
4) Next, divide 2.4 from 2.4 and 42
2.4/2.4 = 0
42/2.4 = 17.5
5) We are left with
p = 17.5
Therefore, the answer is p = 17.5
Hope this helps!
Answer: 32x-68
Step-by-step explanation:
(f•g) is equal to f(gx)
f(x)=4(2x-5)+3
Which is 8x-20+3=8x-17
Now multiply by 4.
4(8x-17)
= 32x-68
The x-value of the intersection point of the lines is ( d - b)/(a-c)
<h3>Intersection of lines</h3>
Given the equation of a line expressed as;
y = ax +b and;
y = cx + d.
Equating both lines, we will have:
Make x the subject of the formula:
ax - cx = d = b
x (a-c) = d - b
x = ( d - b)/(a-c)
Hence the x-value of the intersection point of the lines is ( d - b)/(a-c)
Learn more on intersecting lines here: brainly.com/question/2065148
