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4 years ago

What is 3 3/4 × 3/4 in simplest form.

Mathematics

2 answers:

Eva8 [605]4 years ago

8 0

The answer is 2 13/16

Valentin [98]4 years ago

5 0

The answer should be 3 x 3/4. You change the mixed number (3 3/4) into an improper fraction and the get the answer, 12/4. Then 4 can go into 12, 3 times. So your left with 3 x 3/4. BUT if you need to multiply the equation the answer would be, 9/4 !! :-) Hope this helps you!!

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A model of a soccer ball is made up of regular pentagons and hexagons.

Monica [59]

An apothem is a line from the center of a regular polygon at right angles to any of its sides.

For part A,

We want to find area of pentagon (5 sided figure) given apothem is 1.38 in and side length as 2 inch.

If we look at the picture shown (attached), we can see that a triangle is formed. What is the area of this triangle?

$A=0.5bh\\A=0.5(1)(1.38)\\A=0.69$ square inches

How many such triangles are there in a pentagon? 10. So we multiply 0.69 by 10 to get total area of pentagon.

Area of Pentagon = $0.69*10=6.9$ square inches.

For part B,

We want to find area of hexagon (6 sided figure) given apothem is 1.73 in and side length as 2 inch.

If we look at the picture shown (attached), we can see that a triangle is formed. What is the area of this triangle?

$A=0.5bh\\A=0.5(1)(1.73)\\A=0.865$ square inches

How many such triangles are there in a hexagon? 12. So we multiply 0.865 by 12 to get total area of hexagon.

Area of Hexagon = $0.865*12=10.4$ square inches.

ANSWER:

Area of Pentagon is 6.9 square inches.

Area of Hexagon is 10.4 square inches.

5 0

3 years ago

5x-1=15x-101 equation

sladkih [1.3K]

5x - 1 = 15x - 101
101 - 1 = 15x - 5x
100 = 10x
100/10 = x
x = 10

How this has been solved is by bringing the equations with (x) to one side and solving them and solving the other numbers on the other side..

4 0

3 years ago

Suppose that each time Giannis Antetokounmpo shoots a free throw, he has a 3/4 probability of success. If Giannis shoots three f

GREYUIT [131]

Answer:

84.38% probability that he succeeds on at least two of them

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either Giannis makes it, or he does not. The free throws are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

He has a 3/4 probability of success.

This means that $p = \frac{3}{4} = 0.75$

Giannis shoots three free throws

This means that $n = 3$

What is the probability that he succeeds on at least two of them

$P(X \geq 2) = P(X = 2) + P(X = 3)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{3,2}.(0.75)^{2}.(0.25)^{1} = 0.4219$

$P(X = 3) = C_{3,3}.(0.75)^{3}.(0.25)^{0} = 0.4219$

$P(X \geq 2) = P(X = 2) + P(X = 3) = 0.4219 + 0.4219 = 0.8438$

84.38% probability that he succeeds on at least two of them

6 0

3 years ago

ALGEBRA 1

nekit [7.7K]

Example C: w cubed z, +, 5, z squared, minus z squared, +, 6 ..... For example, 2x + 1 = 7x and 10x minus 9y minus z = 3 are linear equations, but x, +, y ...

3 0

4 years ago

Write an equation for the hanger diagram and then us the sketch to show how to solve the equation algebraically.

Art [367]

Answer:

2y + 3 = 6

Step-by-step explanation:

2y + 3 = 6 Subtract 3 from both sides

2y = 3 Divide 2 from both sides

y = 3/2

8 0

3 years ago