T = state income return (without sales tax)
106% of t = 4960.80
AKA
1.06t = 4960.80 --> Divide both sides by 1.06 to find the state income return without sales tax
t = 4680
Subtract t from the state income return with sales tax.
4960.80 - 4680 = 160.80
<u>She paid $160.80 in sales tax.</u>
We have the base measurement for the triangles composing the sides. We need their altitude.
Imagine a right triangle with these sides:
(1) from the apex of the pyramid to the point on the base directly underneath it (471 ft);
(2) from the middle of base edge to the point underneath the apex (half of 708 ft = 354 ft);
(3) the hypotenuse, the altitude of a triangular side.
Using the Pythagorean Theorem, we find the hypotenuse to be
√(471^2 + 354^2) = about 589.2 feet
Now we add up the four triangles' areas. Each is base * altitude / 2, so:
4 x 708 x 589.2 / 2
= 2 x 708 x 589.2
= 834,307.2 square feet, the lateral area.
Step-by-step explanation:
y>3-8
y>-5
The solutions are in the interval ]-5,○○[
The answer of 3 × 1 3\4 is 21\4 or 5 1/4
The heat released or absorbed by a substance is calculated through the equation,
H = mcpdT
where H is teh heat,
m is the mass,
Cp is the specific heat, and
dT is the temperature difference
In this item, since both nails are identical, m and cp for both nails are equal such that the equation can be expressed as,
mcp(95 - x) = mcp(x - 15)
where x is the final temperature. Solving for the value of x from the equation derived above will give us a final answer of 55 degrees C.
Answer: 55°
