Answer:
x < 7
Step-by-step explanation:
Given
5x - 7 < 28 ( add 7 to both sides )
5x < 35 ( divide both sides by 5 )
x < 7
Answer:
The domain is all real numbers such that -6≤x≤-2, and the range is all real numbers greater than or equal to -4.
Step-by-step explanation:
The domain refers to the set of possible <u>input</u> values, so in the domain of a graph consists of all the input values shown on the x-axis, in this case, all numbers beetwen -6 and -2. The range is the set of possible <u>output</u> values, which are shown on the y-axis; in the graph, all numbers equal and higher than -4.
Standard form is using only numerical values (numbers.)
Ninety-eight = 98
six-tenth = 0.6
98 + 0.6 = 98.6
98.6 is your answer
Hope this helps
Rhombus, Parallelogram, Kite, Rectangle, Square, Trapezoid, Isosceles Trapezoid
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>
