Answer:

Step-by-step explanation:
The volume of a pyramid is given by the formula ...
V = 1/3·B·h
where B represents the area of the base and h represents the height.
The area of a triangle is given by the formula ...
A = 1/2·b·h
where b represents the length of the base of the triangle, and h represents the height of the triangle.
For a right triangle, the base and height can be taken to be the lengths of the two legs. Then we have
A = 1/2·(15 cm)·(24 cm) = 180 cm²
The volume of the pyramid is then ...
V = 1/3·(180 cm²)(13 cm) = 780 cm³
The volume of the pyramid is 780 cm³.
Answer:
0.131
Step-by-step explanation:
10^-2=0.01 so 0.01+6=0.06
0.06+0.071=0.131
Answer:
a. So the electric guitar is sold for a sale price of $315 after the discount. The discount was 30%. Even though we get that amount off, we still pay 70% of the original price, because 100% (original price) - 30% is 70%.
b. An equation that can help us find the regular price of the item is through writing and solving a proportion. Set it up like this:
315/x = 70/100
This is because 315 is part of the whole and is 70% of the value of x.
Step-by-step explanation:
Okay. Let's solve this by cross multiplying the values. 315 * 100 is 31,500. 70 * x is 70x. That simplifies to 31,500 = 70x. Didivde each side by 70 to isolate the x. 70x/70 cancels out. 31,500/70 is 450. Let's check this by multiply the number by 70% and see what happens. 450 * 70% (0.7) is 315. There. x = 450. The regular price was $450.
The length of one leg is 22 units. If you search up 45 45 90 triangle you can find the rules that go with solving for these kinds of triangles.
Answer:
definition of midpoint
Reflexive property of congruence
SSS congruence postulate
CPCTC theorem
Step-by-step explanation:
Step 1: Since, M is the midpoint of the line segment QR.
definition of midpoint
Step 2: The reflexive property of congruence states that a line segment or an angle or a shape is always equal to itself.
Reflexive property of congruence.
Step 3: The SSS congruence postulate states that if three sides of a triangle are equal to three sides of another triangle, then the two triangles are congruent.
SSS congruence postulate
Step 4: CPCTC theorem states if two triangles are congruent then the sides and angles are also congruent.
CPCTC theorem.