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4 years ago

Please help with area of right triangles!

Mathematics

1 answer:

ipn [44]4 years ago

7 0

Answer:

Step-by-step explanation:

Since the side length of one square in the grid is 1 unit, we know that the side lengths of the right triangle are 2 and 7 units.

The area of a triangle is A=1/2*b*h

A=1/2*2*7

A=1*7

A=7

So the area of the triangle is 7 square units

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What is the quotient (6x4 − 15x3 − 2x2 − 10x − 4) ÷ (3x2 + 2)? (6 points)

allsm [11]

<h3>Answer:</h3>

2x^2 -5x -2

<h3>Step-by-step explanation:</h3>

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3 years ago

How many time does 80 fit into 415

Elza [17]

Answer:

5 times

Step-by-step explanation:

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6 0

3 years ago

Read 2 more answers

Pls help! will mark branliest!!! :)

Ket [755]

The area of the house is the amount of space on the house.

The length of the addition is x + 20
The area of the original house is $x^2 + 30x + 200$

<h3>The length of the addition</h3>

The area of the addition is given as:

$Area = x^2 + 10x - 200$

Expand

$Area = x^2 + 20x - 10x - 200$

Factorize

$Area = x(x + 20) - 10(x + 20)$

Factor out x + 20

$Area = (x -10)(x + 20)$

The width of the addition is x - 10.

Hence, the length of the addition is x + 20

<h3>The area of the original house</h3>

The dimension of the original house is

x + 20 by x + 10

So, the area is:

$Area =(x + 20)(x + 10)$

Expand

$Area =x^2 + 20x + 10x + 200$

This gives

$Area =x^2 + 30x + 200$

Hence, the area of the original house is $x^2 + 30x + 200$

Read more about areas at:

brainly.com/question/24487155

8 0

2 years ago

34. The diagram shows a sector of a circle of radius 10 cm.

Sergio [31]

Answer:

rc length = 10 * 8pi/5

= 16pi

This is the circumference of the base

(a) 2pir = 16pi where r = radius of base

2r = 16

r = 8 cm

(b) 10^2 = h^2 + 8^2

h^2 = 100 - 64

= 36

h = 6 cm

8 0

3 years ago

Read 2 more answers

In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time coll

ICE Princess25 [194]

Answer:

a) n = 1037.

b) n = 1026.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

(a) Assume that nothing is known about the percentage to be estimated.

We need to find n when M = 0.04.

We dont know the percentage to be estimated, so we use $\pi = 0.5$ , which is when we are going to need the largest sample size.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 2.575\sqrt{\frac{0.5*0.5}{n}}$

$0.04\sqrt{n} = 2.575*0.5$

$(\sqrt{n}) = \frac{2.575*0.5}{0.04}$

$(\sqrt{n})^{2} = (\frac{2.575*0.5}{0.04})^{2}$

$n = 1036.03$

Rounding up

n = 1037.

(b) Assume prior studies have shown that about 55% of full-time students earn bachelor's degrees in four years or less.

$\pi = 0.55$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 2.575\sqrt{\frac{0.55*0.45}{n}}$

$0.04\sqrt{n} = 2.575*\sqrt{0.55*0.45}$

$(\sqrt{n}) = \frac{2.575*\sqrt{0.55*0.45}}{0.04}$

$(\sqrt{n})^{2} = (\frac{2.575*\sqrt{0.55*0.45}}{0.04})^{2}$

$n = 1025.7$

Rounding up

n = 1026.

6 0

3 years ago