Answer:
Step-by-step explanation:
x+62=90 degree (being perpendicular)
x=90-62
x=28 degree
x+25=90 (being perpendicular)
x=90-25
x=65 degree
Answer:
The length of the rectangle is 159923.5 and the width of 53289.5
Step-by-step explanation:
We will make 2 equations one that is the perimeter and another that is the length with respect to the width
b = w*3+55
2b + 2 w = 426426
we will replace b with (w * 3 + 55) in the second equation
2b + 2 w = 426426
2(w*3+55) + 2w = 426426
we clear w to find its value
6w + 110 + 2w = 426426
8w = 426426 - 110
8w = 426316
w = 426316/8
w = 53289.5
Now that we have the value of w we replace it in the first equation and solve to find b
b = w*3 + 55
b = 53289.5*3 + 55
b = 159868.5 + 55
b = 159923.5
Answer:
Pair 2.
Step-by-step explanation:
For the volumes to be the same the base areas must also be the same.
For Pair 2 the areas are 25π and 24π while the other 2 pairs have both base areas = 25π.
Answer:
b) 12
Step-by-step explanation:
- Given is an equilateral triangle.
- Measure of each angle of an equilateral triangle is 60°.
Answer:
(x - 15)(x + 3)
Step-by-step explanation:
Factors of 45 include 5 and 9, 3 and 15, 1 and 45, and so on.
Note that 3*15 =+45; this is not what we wanted. Thus, try (-3)*15 = -45.
Do -3 and 15 combine to yield -12? No. Thus drop (-3)(15) and try (3)(-15).
Do 3 and -15 combine to yield -12? YES
Therefore, the factored form of x² - 12x - 45 is (x - 15)(x + 3).
