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A pyramid has a base 16 inches x 16 inches and a slant height of 10 inches. what is the volume in cubic inches

Answer:

512 in³

Step-by-step explanation:

The height perpendicular to the base is the leg of a right triangle with hypotenuse 10 in and other leg 8 in. Using the Pythagorean theorem, we can find it as ...

h² +8² = 10²

h² = 100 -64 . . . . . subtract 8²

h = 6 . . . . . . . . . . . . take the square root of 36

Then the volume is found using ...

V = (1/3)Bh = (1/3)(16 in)²(6 in) = 512 in³

The volume is 512 cubic inches.

_____

The 8-inch dimension used above comes from half the distance between the center of one side of the base to the center of the opposite side. (16 in)/2 = 8 in.

4 0

3 years ago

The composite figure is made up of a triangular prism and a pyramid. The two solids have congruent bases. A triangular pyramid i

Darina [25.2K]

Answer:

the answer is 3465

Step-by-step explanation:

got it right on ed

4 0

3 years ago

Read 2 more answers

Math the equation to the solution type

Margarita [4]

Answer:

Step-by-step explanation:

1. 6x + 10 = 6x - 8

10≠-8

no solution

2. 6x + 8 = 2x - 6

4x + 8 = -6

4x = -14

x = -14/4= -7/2 one solution

3. 9x - 27 = 9x - 27

0 = 0 All real no. infinitely many solution

6 0

2 years ago

Pea flowers may be purple (P) or white (p). Pea seeds may be round (R) or wrinkled (r). What proportion of the offspring from th

Rudiy27

Answer:

The proportion of the offspring from the cross PpRr × PpRr that are expected to have white flowers and wrinkled seeds is 1/16 or 6.25%.

Step-by-step explanation:

The uppercase letter represents the dominant allele, while the lowercase represents the recessive allele. The dominant allele determines the phenotype (observable trait) when it is present.

When you cross heterozygous individuals for each trait, each individual of the offspring has the probability of 1/6 of each combination of four alleles (two for each trait). Because the dominant allele determines the phenotype when it is present, the probability of dominant phenotypes is higher than recessive phenotypes.

Proportions of each phenotype in the offspring from the cross PpRr × PpRr are:

Purple flowers with round seeds: 9/16

Purple flowers with wrinkled seeds: 3/16

White flowers with round seeds: 3/16

White flowers with wrinkled seeds: 1/16

The proportion of individuals with white flowers and wrinkled seeds is the lowest because they are homozygous recessive for both traits.

8 0

3 years ago

D · 24 = -12 What does d equal?

Darya [45]

Answer: $d=-1/2$