Find the length of the base of a square pyramid if the volume is 1,024 cubic inches and has a height of 12 inches.

Answers

Answer 1

Answer: Hello,

Let 's x the length of the pyramid:
V=x²*h/3
V=1024 and h=12
So x²*12/3=1024
==>x²=1024*3/12
==>x²=256
==>x²=16²
==> x=16 for (x=-16 must be exclude <0)

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What is the converse of the statement below?? x>Y

<1 is a complement of <2, and m<1=66. find <2

Answers

The measure of angle <2 is 24 degrees.

We know that, Complementary angles are when two angles add up to 90 degrees.

When two angles are complementary, their sum is 90 degrees.

Here, from this information we have to find the measure of angle <2.

Given that angle <1 is a complement of angle <2, we can set up the following equation:

m<1 + m<2 = 90

Substitute the given value for angle <1:

66 + m<2 = 90

Now, isolate m<2 by subtracting 66 from both sides of the equation:

m<2 = 90 - 66

m<2 = 24

So, the measure of angle <2 is 24 degrees.

To learn more on angle click:

brainly.com/question/28451077

#SPJ3

Answer: 24 degrees

Step-by-step explanation: Complementary angles are when two angles add up to 90 degrees. Just do 90-66=24. The answer is 24 degrees. Hope that helped!

3 A scientist takes four random samples of a population of 700 trees. Each sample isthe same size. The first sample indicates that 30% of the trees are oak, while the

second sample indicates that only 15% of the trees are oak. The third sample

indicates that 26% of the trees are oak. The fourth sample indicates that 29% of

the trees are oak. Based on the data, about how many of the 700 trees are oak?

Answers

Using proportions, it is found that about 175 trees are oak.

What is a proportion?

A proportion is a fraction of a total amount.

For the four samples, the proportions are: {0.3, 0.15, 0.26, 0.29}.

Hence, the mean proportion is given by:

M = (0.3 + 0.15 + 0.26 + 0.29)/4 = 0.25

Out of 700 trees:

700 x 0.25 = 175.

About 175 trees are oak.

More can be learned about proportions at brainly.com/question/24372153

The diagram shows a 5 cm x 6 cm x 7 cm cuboid.Calculate the length of the diagonal AB.
4 Give your answer correct to 1 decimal place.
7 cm
1
6 cm
B
5 cm

Answers

9514 1404 393

Answer:

10.5 cm

Step-by-step explanation:

The length of the space diagonal is the root of the sum of the squares of length, width, and height.

AB = √(5² +6² +7²) cm = √110 cm ≈ 10.488 cm

AB ≈ 10.5 cm

_____

The space diagonal is the hypotenuse of the right triangle consisting of an edge (L) and the face diagonal of the face perpendicular to that edge. Of course that face diagonal is the root of the sum of squares of the orthogonal edges: √(W² +H²). So, the space diagonal is ...

AB = √(L² +(√(W² +H²))²) = √(L² +W² +H²)

Which expressions are differences of squares?Choose all answers that are correct.
Question 2 options:

8b^2 – 16c^6

16e^8 – 81g^4

49x^25 – 4y^16

121m^18 – 9n^10

Answers

difference of 2 perfec squares is
(a^2)-(b^2)

if the exponents are both even and the coeficient (the number in front) are perfect squares, then it is difference t 2 perfect squares

first one
8 is not perfect square

2nd one
(4e^4)^2-(9g^2)^2

third
25 is odd, so it cannot be split up into 2 nice numbers

4th
(11m^9)^2-(3n^5)^2

You are working as a clinical chemist in charge of the testing of blood samples. You are required to mix a solution of sodium chloride with water in the ratio of 2:5. Starting with 780ml of the sodium chloride solution, how much water needs to be added? Give your answer in standard form to an appropriate number of significant figures.

Answers

1,950 ml of water should be added to 780 ml of sodium chloride to maintain the ratio of 2:5

Given:
Ratio of sodium chloride to water 2:5
sodium chloride = 780 ml
water = ?

proportionality a:b = c:d where ad = bc

a = 2 ; b = 5 ; c = 780 ml ; d = x

2:5 = 780:x
2x = 780*5
2x = 3900
x = 3900/2
x = 1950 ml of water.

If A ⊂ B, then A ∩ B = A ∪ B. always, sometimes, never