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Ad libitum [116K]
2 years ago
11

Pete asks Buzz to make a triangular truss with sides that are 5 feet, 6 feet, and 9 feet. Is this enough information for Buzz to

make a truss with the correct size and shape? Explain
Mathematics
1 answer:
Georgia [21]2 years ago
8 0

Answer: Yes.

Step-by-step explanation:

One of the criteria of congruence for triangles is SSS, this means that when we know that two triangles have all the same side lengths, the triangles are congruent. This would mean that all the triangles with the same side lengths are rotations or translations of the same triangle.

Then, when we know the measures of the 3 sides of a triangle, we have only one possible triangle to make, which would mean that Buzz has enough information to make a truss with the correct size and shape.

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3 years ago
Each wheel of gias bicycle is 24 inches in diameter gia rides her bike 1,884 feet to the nearest whole number how many times doe
cupoosta [38]

The wheel turned a total of 300 times in 1,884 feet.

Step-by-step explanation:

Step 1:

The wheels of the bicycle have a diameter of 24 inches. So the radius of the wheels is 12 inches.

To determine how many times the wheel turns we divide the distance traveled by the circumference of the wheels.

The circumference of a circle is given by multiplying 2π with the radius.

The circumference of the wheel = 2(3.1415)(12) = 75.396.

The circumference of the wheel is 75.396 inches.

Step 2:

Gia traveled 1,884 feet, we need to convert this into inches.

If 1 feet = 12 inches, 1,884 feet = 22,608 inches.

The number of times the wheel turned \frac{22,608}{75.396} = 299.8567.

Rounding this off, we get that the wheel turned a total of 300 times in 1,884 feet.

6 0
3 years ago
Question
meriva

Question:

In a neighbourhood pet show, each of the animals entered is equally likely to win. if there are 7 dogs, 6 cats, 3 birds, and 2 gerbils entered, what is the probability that a bird will win the top prize?

Answer:

Probability that a bird will win the top prize is 0.167

Step-by-step explanation:

Given:

The number of  dogs  = 7

The number of  cats = 6

The number of  birds  = 3

The number of gerbils = 2

To Find:

Probability that a bird will win the top prize = ?

Solution:

Let us first find the total number of  pets .

The Total number of pets = 7 + 6 + 3  + 2 =  18

Now the probability of  a bird will win the top prize is

=> \frac{\text {Number of birds}}{\text{ Total number of pets}}

=>\frac{3}{18}

=> \frac{1}{6}

=>0.167

4 0
3 years ago
Does anyone know the answers???
Vikentia [17]

Answer:

20. C, 21. A, 22. B

Step-by-step explanation:

20. Terms are numbers with variables next to them.

21. T can be anything. It can't be irrational because timers have a certain number. So for example, swimmer swims in 10 seconds, 18.5 seconds, 18.67 seconds, and so on.

22. If you solve 3x ≥ -12 and 8x ≤ 16, you get 3x ≥ -12; x = -4, and 8x ≤ 16; x = 2.

Hope it Helps!

Plz give brainliest. It would be appreciated!

7 0
3 years ago
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