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3 years ago

What are all the angle measures for right triangle ABC?

Mathematics

1 answer:

Alenkasestr [34]3 years ago

3 0

Answer:

$\alpha = 60°,\:\beta = 30°, \: 90°$

Step-by-step explanation:

$Arccos( \frac{ \sqrt{3} }{2} ) = \beta \\ Arccos( \cos \: 30 \degree ) = \beta \\30 \degree = \beta \\ \therefore \: \alpha = 60 \degree \\ remaining \: angle = 90 \degree \\$

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Classwork Let's tick (V) the correct answer.

Fynjy0 [20]

Answer:

Option i

Step-by-step explanation:

The given expression is , 5x² - 3xy .

We can clearly see that there are two terms in the expression , 5x² and 3xy .

Therefore option (i) is correct .

6 0

3 years ago

Pls help I would really appreciate it

Nadusha1986 [10]

Answer:

the ANWER IS B

Step-by-step explanation:

It B BECAUSE I AM SMART

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3 years ago

Read 2 more answers

In the freshman class, 62% of the students take math, 49% take science, and 38% take both science and math. what percentage take

antoniya [11.8K]

we are given

62% of the students take math

so,

$n(M)=62$

49% take science

$n(S)=49$

38% take both science and math

n(M∩S)=38

now, we can use union formula

n(M∪S)=n(M)+n(S) -n(M∩S)

now, we can plug values

and we get

n(M∪S)=62+49 -38

n(M∪S)=73

so,

the percentage takes at least one science or math course is 73%..........Answer

8 0

3 years ago

Read 2 more answers

{24, 95, 76, 60, 15, 48, 80, 75} a. Mean = b. Median c. Mode =

sp2606 [1]

Answer:

a)59.125, b)67.5, c)None

Step-by-step explanation:

Mean = All values added up and divided by the number of values
$\frac{24+95+76+60+15+48+80+75}{8}$

Median = Put all numbers in order from least to most and use the middle one, if there are two, use the mean of those two
$15, 24, 48, 60, 75, 76, 80, 95$ . The middle ones are 60 & 75 so $\frac{60+75}{2}$

Mode = The number that repeats more times. In this case none of them repeat.

8 0

2 years ago

A rectangular dartboard has an area of 648 square centimeters. The triangular part of the dartboard has an area of 162 square ce

never [62]

Answer:

The probability that the dart lands inside the triangle is 0.25

Step-by-step explanation:

* Lets explain how to find the probability of an event

- The probability of an Event = Number of favorable outcomes ÷ Total

number of possible outcomes

- P(A) = n(E) ÷ n(S) , where

# P(A) means finding the probability of an event A

# n(E) means the number of favorable outcomes of an event

# n(S) means set of all possible outcomes of an event

- P(A) < 1

* Lets solve the problem

- A rectangular dartboard has an area of 648 cm²

- The triangular part of the dartboard has an area of 162 cm²

- A dart is randomly thrown at the dartboard

- The dart lands in the rectangle

∴ The area of the rectangle is the set of all possible outcomes n(S)

- The probability P(A) that the dart lands inside the triangle

∴ The area of the triangle is set of favorable outcomes of an

event n(E)

∵ P(A) = n(E) ÷ n(S)

∴ P(T) = area of the triangle ÷ area of the rectangle

∵ Area of the rectangle is 648 cm²

∴ n(S) = 648

∵ The area of the triangle is 162 cm²

∴ n(E) = 162

∴ P(T) = 162 ÷ 648 = 1/4 = 0.25

* The probability that the dart lands inside the triangle is 0.25

5 0

3 years ago