R = m - v + 2, where r = faces, v = vertices, and m = edges
r = 28 - 13 + 2
r = 15 + 2
r = 17, so the first answer is correct.
7. The surface area of a cone is A = pi*r*sqrt(r^2 + H^2)
A = pi*(7)(sqrt(49 + 1849)
A = pi*(7)(43.57)
A = pi*305 = 959 m^2, so the first answer is correct.
13. The volume of the slab is V = HLW
V = (5 yards)(5 yards)(1/12 yards)
V = 25/12 cubic yards
So it costs $46.00*(25/12) = $95.83 of total concrete. The third answer is correct.
21. First, find the volume of the rectangular prism. V = HLW
V = (15 cm)(5 cm)(7 cm)
V = 525 cm^3
Next, find the volume of the pyramid. V = 1/3(BH), where H is the height of the pyramid and B is the area of the base of the pyramid. Note that B = (15 cm)(5 cm) = 75 cm^2
V = (1/3)(75 cm^2)(13 cm)
V = 325 cm^3
Add the two volumes together, the total volume is 850 cm^3. The fourth answer is correct.
22. The volume of a square pyramid is V = 1/3(S^2)(H), where S is the side length and H is the height.
V = (1/3)(20^2 in^2)(21 in)
V = 2800 in^3
Now that we know the volume of this pyramid, and that both pyramids have equal volume, we plugin our V to the equation for the volume.
2800 = (1/3)(84)(S^2)
2800 = 28S^2
100 = S^2
<span>
10 in = S, so we have a side length of 10 in, and the first answer is correct. </span>
Answer:

<em>a</em> = -10 and <em>b</em> = 18.
Step-by-step explanation:
Let <em>w</em> represent the width of the rectangle.
We are given that the perimeter of the rectangle is 20 cm, this means that:

Let's put <em>w</em> in terms of <em>x</em>. Divide both sides by two:

And solve for <em>w:</em>
<em />
<em />
So, the rectangle measures <em>x</em> by (10 -<em> x</em>) cm.
<em />
According to the Pythagorean Theorem:

<em>a</em> and <em>b</em> are the legs and <em>c</em> is the hypotenuse.
Substitute <em>x</em> for <em>a, w</em> for <em>b</em>, and 8 for <em>c:</em>
<em />
<em />
Simplify and substitute:

Square:

Isolate the equation. So:

Since the leading coefficient is one, divide both sides by two:

Therefore, <em>a</em> = -10 and <em>b</em> = 18.
Answer:
0.07 and
Step-by-step explanation:
convert the fraction into a decimal by dividing the numerator by the denominator.
Y or f(x) = -2x+5
the slope goes with the variable (x) and when the value of x is entered it makes a line, and the y-intercept is next to show where the point is on the y - line