All categories

2 years ago

In ABC, angle C is a right angle. Which statement must be true

Mathematics

1 answer:

KatRina [158]2 years ago

4 0

Answer:

Step-by-step explanation:

a because the the sin is opposite divided by hypotenuse and the opposite of a is 12 and the hypotenuse is 13 so sin a would be 12/13

this is equals to the cosine of b because cos is adjacent/hypotenuse and the adjacent of b is 12 and the hypotenuse is 13 so cos b would be 12/13

hope this helps :)

You might be interested in

Name the property that justifies the given statement 2x_2y=2(x_y)

Gemiola [76]

Answer:

Distributive property

Step-by-step explanation:

With the distributive property, it is possible to simplify expressions that consist of an expression term such as (a + b) being multiplied by one singular term such as c given as follows

c ×(a + b) = c·a + c·b

Factoring, which is the reverse use of the distributive property enables the difference or the sum of two products, each having a common factor to be the presented as the difference or the sum of two numbers multiplied by the common factor as follows;

2·x - 2·y = 2·(x - y).

7 0

3 years ago

180kg, 250kg, 200kg, 209kg, 195kg, 205kg, 190kg, 188kg, 192kg. What is the IQR of the lion's weights.

velikii [3]

Answer:

Step-by-step explanation:

Given the data:

180kg, 250kg, 200kg, 209kg, 195kg, 205kg, 190kg, 188kg, 192kg

The interquartile range (IQR) = Q3 - Q1

Reordering the data:

180, 188, 190, 192, 195, 200, 205, 209, 250

Q3 = 3/4(n+1)th term

Q3 = 3/4(10) = 7.5 th term = (205+209)/2 = 207

Q1 = 1/4(n+1)th term

Q1 = 1/4(10) = 2.5th term = (188+190)/2 = 189

Q3 - Q1 = 207 - 189 = 18

3 0

3 years ago

If 55% of the students in a certain college are female and there are 1,452 female students, what is the total number of students

Len [333]

Answer:

So 55% of an unknown number is 1452

Let this unknown number be n

Then 55% of n = 1452

We now solve for n

55% × n = 1452

55/100 × n = 1452

0.55 × n = 1452

n = 1452/0.55

n = 2640

Therefore there are 2640 students in the college

8 0

3 years ago

If you flip a coin or roll a 6-sided die, what is the probabilty that you will flip a tails and roll a 2?

telo118 [61]

Answer:

$\frac{1}{12}$

Step-by-step explanation:

P(tail) = $\frac{1}{2}$

P(2) = $\frac{1}{6}$

P(tail and 2 ) = $\frac{1}{2}$ × $\frac{1}{6}$ = $\frac{1}{12}$

3 0

3 years ago

A 100-foot ramp is tilted at a 45° angle. How high is the top of the ramp from the ground?

BabaBlast [244]

Setting up a right triangle, the 100 would be the hypotenuse, the 45 would be the angle of elevation, and you're looking for the opposite side.
Sin 45 = x/100
100sin45 = x
100 * ✓(2)/2 = x
50 ✓2 =x
x = 50✓2 ft

4 0

3 years ago