Answer:
get y by itself and simplify
y=3/2x +7
Answer:
<h2>
k = 31/9</h2><h2>
b = 12</h2>
Step-by-step explanation:
<u>k - 4</u> = 3
9
k/9 = 3(9) + 4
k = 31/9
k = 31/9
<u>8 + b </u> = -5
-4
8 + b = -5 (-4)
8 + b = 20
b = 20 - 8
b = 12
We know by definition that complementary angles add up to 90 degrees. We can set up an equation using the ration given:
17x+13x=90, with x representing the amount you need to multiply the ratio by to get 90.
17x+13x=90
30x=90
x=3
We now know that the number we multiply the ratio by is 3. The smaller number in the ratio is 13, and so therefore we multiply it by 3.
3*13=39
The answer is 39 degrees.
Answer:
(294π +448) cm³ ≈ 1371.6 cm³
Step-by-step explanation:
The half-cylinder at the right end has a radius of 7 cm, as does the one on top. Together, the total length of these half-cylinders is 8 cm + 4cm = 12 cm. That is equivalent in volume to a whole cylinder of radius 7 cm that is 6 cm long.
The cylinder volume is ...
V = πr²h = π(7 cm)²(6 cm) = 294π cm³
__
The cuboid underlying the top half-cylinder has dimensions 4 cm by 8 cm by 14 cm (twice the radius). So, its volume is ...
V = LWH = (4 cm)(8 cm)(14 cm) = 448 cm³
Then the total volume of the composite figure is ...
(294π +448) cm³ ≈ 1371.6 cm³
