All categories

3 years ago

In triangle ABC, (angle A) is a right angle and (m angle B) = 45deg.

Mathematics

2 answers:

Ratling [72]3 years ago

4 0

We can use the ratios for special triangles (see the attachment below). We'll be using the 45-45-90 triangle. We notice that side BC is equal to $x \sqrt{2}$ , and side AC (x using the special right triangle) is equal to 16. We can therefore say that side BC is equal to $16 \sqrt{2}$ ft

:)

mariarad [96]3 years ago

4 0

I believe it would be 16 ft square root 3 ft.

Correct me if I'm wrong! :)

You might be interested in

25 Points!

Vlada [557]

The least value is 1, the greatest value is 7, and the median is 2.

<h3>How to calculate the median?</h3>

From the information given, the number of dogs is 7, cats are 5, parrots are 2, hamsters are 2, fish is 1, pig is 2 while turtle is 0.

The median is the number in the middle when the numbers are arranged in ascending or descending order. The numbers will be 0, 1, 2, 2, 2, 5, 7. Therefore, the median is 2.

Also, by looking at the picture attached, the least value is 1, the greatest value is 7.

Learn more about median on:

brainly.com/question/26151333

#SPJ1

8 0

2 years ago

Hii! I need some help, would anyone mind helping me?

Kisachek [45]

Step-by-step explanation:

${x}^{2} - 14x - 25 {y}^{2} + 100y = 76$

Factor by grouping,

$( {x}^{2} - 14x) - (25 {y}^{2} - 100y) = 76$

Complete the square, with the x variables,

$( {x}^{2} - 14x + 49) - (25 {y}^{2} - 100y) = 125$

Factor out 25 for the y variables

$( {x}^{2} - 14x + 49) - 25( {y}^{2} - 4y) = 125$

Complete the square

$( {x}^{2} - 14x + 49) - 25( {y}^{2} - 4y + 4) = 25$

Simplify the perfect square trinomial

$(x - 7) {}^{2} - 25(y - 2) {}^{2} = 25$

Make the right side be 1 so divide everything by 25.

$\frac{(x - 7) {}^{2} }{25} - (y - 2) {}^{2} = 1$

Here our center is (7,2).

8 0

2 years ago

The sum of 6 consecutive integers is 519. What is the third number in this sequence?

garri49 [273]

The third integer is 86, hope this helps :)

8 0

3 years ago

Read 2 more answers

Forty-seven percent of fish in a river are catfish. Imagine scooping out a simple random sample of 25 fish from the river and ob

Alexxx [7]

Question options:

The standard deviation is 0.0998. The 10% condition is not met because there are less than 250 fish in the river.

The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river.

The standard deviation is 0.9002. The 10% condition is met because it is very likely there are more than 250 fish in the river.

The standard deviation is 0.9002. The 10% condition is not met because there are less than 250 fish in the river.

We are unable to determine the standard deviation because we do not know the sample mean. The 10% condition is met because it is very likely there are more than 250 fish in the river

Answer:

The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river

Explanation:

Formula to calculate standard deviation = √p(1-p)/n

Given p= population proportion

n= sample size

From the question,

We are given p(population proportion of catfish in the river)= 0.47

n(sample size of fish collected from river) = 25

The standard deviation using the formula above = √0.47(1-0.47)/25

= 0.0998

The 10% condition demands that a sample size be not less than 10% of the population

To check if the 10% condition was met, we know that a river will likely have up to 250 fish in it and so,

10% of 250= 0.10×250=25 fish

Therefore the option B chosen is correct

8 0

3 years ago

Which of the following is a perfect square trinomial?

shutvik [7]

Answer:

Step-by-step explanation:

Take a look at what happens when squaring either of these...

$(ax-by)^2=(ax-by)(ax-by)=a^2x^2-2abxy+b^2y^2\\\\(ax+by)^2=(ax+by)(ax+by)=a^2x^2+2abxy+b^2y^2\\$

Notice a couple of patterns.

1. The last term has a positive coefficient. That rules out answer choices C and D.

2. The coefficient of the middle term is either $+2ab \text{ or } -2ab$ . So what are <em>a</em> and <em>b</em>? <em>a</em> is the square root of the x^2 term and <em>b</em> is the square root of the y^2 term.

$25x^2 \Rightarrow a=5\\\\9y^2 \Rightarrow b=3\\\\ab=15\\\\2ab=30$

The middle coefficient needs to be either +30 or -30. The answer is choice A.

5 0

2 years ago