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Tema [17]
3 years ago
8

Jason paid a $100 start-up fee for his

Mathematics
1 answer:
katen-ka-za [31]3 years ago
6 0

Answer:

b

Step-by-step explanation:

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HELPPPP What is the volume of the square pyramid? Use Pythagorean’s Theorem to find the height of the pyramid
aalyn [17]

Answer: 4,111.7 mm³

Step-by-step explanation:

You need to use this formula to calculate the volume of the square pyramid:

V=\frac{s^2h}{3}

Where "s" is the lenght of any side of the square base and "h" is the height of the pyramid.

Find the height with the Pythagorean Theorem:

a^2=b^2+c^2

Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle. Let be "c" the height of the pyramid.

You can identify in the figure that:

a=26mm\\\\b=\frac{23mm}{2}=11.5mm\\\\c=h

Then, you can find the height:

(26mm)^2=(11.5mm)^2+h^2\\\\h=\sqrt{(26mm)^2-(11.5mm)^2}\\\\h=23.318mm

Then, knowing that:

s=23mm\\h=23.318mm

You can calculate the volume:

 V=\frac{(23mm)^2(23.318mm)}{3}=4,111.7mm^3

3 0
3 years ago
If f(x) = x2 + 2x + 1 and g(x) = 3(x + 1)2, which is an
Ilia_Sergeevich [38]
The answer should be C
5 0
3 years ago
0.4166666667 as a fraction
mariarad [96]
416/100 is the answer
5 0
3 years ago
The supplement of an angle is 50 less than 3 times its complement, find the measure of the angle
Lelechka [254]

Answer:

20^{\circ}.

Step-by-step explanation:

Two angles are supplements of one another if their sum is 180^{\circ}.

Two angles are complements of one another if their sum is 90^{\circ}.

Let x^{\circ} be the measure of the angle in question.

The supplement of this angle would be (180 - x)^{\circ}.

The complement of this angle would be (90 - x)^{\circ}.

According to the question:

(180 - x) + 50 = 3\, (90 - x).

Solve this equation for x:

x = 20.

Thus, this angle would measure should 20^{\circ}.

The supplement of this angle would measure (180 - 20)^{\circ} = 160^{\circ}. The complement of this angle would measure (90 - 20)^{\circ} = 70^{\circ}.

Three times the complement of this angle would be 3 \times 70^{\circ} = 210^{\circ}, which is indeed 50^{\circ} greater than the supplement of this angle.

8 0
3 years ago
.686 rounded to the nearest tenth
maria [59]
.690 because 6 rounds up to 10 so it would go up to the next tenth
8 0
3 years ago
Read 2 more answers
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