Which negative angle is equivalent to a 75° angle?

Answer:

If the secant = 2, this would be where the cosine = 1/2 = a 60° degree angle in the first quadrant and the 4th quadrant.

And the cot (60°) = 1/√3 = √3 /3

And the cot of a 60° angle in the 4th quadrant (i.e., 330°) is (- √3 /3)

Answer:

[tex]a =\frac{\sqrt 3}{2}[/tex] mi

[tex]b =\frac{1}{2}[/tex] mi

Step-by-step explanation:

Given

The attached triangle

Required

Find a and b

To do this, we make use of the following trigonometry ratio

[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

So, we have:

[tex]\sin(60) = \frac{a}{c}[/tex]

[tex]\sin(30) = \frac{b}{c}[/tex]

Where

[tex]c = 1[/tex]

So, we have:

[tex]\sin(60) = \frac{a}{c} =\frac{a}{1}[/tex]

[tex]\sin(60) = a[/tex]

[tex]a = \sin(60)[/tex]

In radical form:

[tex]\sin(60) = \frac{\sqrt 3}{2}[/tex]

Hence:

[tex]a =\frac{\sqrt 3}{2}[/tex]

[tex]\sin(30) = \frac{b}{c}[/tex]

[tex]\sin(30) = \frac{b}{1}[/tex]

[tex]\sin(30) = b[/tex]

Rewrite as:

[tex]b =\sin(30)[/tex]

In radical form:

[tex]\sin(30) = \frac{1}{2}[/tex]

Hence:

[tex]b =\frac{1}{2}[/tex]

Answer:776

Step-by-step explanation:

Answer:

304oz

Step-by-step explanation:

Answer:

6 feet

Step-by-step explanation:

Volume of a rectangular prism = L × W × H

15 feet × 8 feet × H = 720 feet ³

120H = 720

H = 720 ÷ 120

H = 6 feet

Answer:

3, 9, 15, 21

Step-by-step explanation:

6n-3

n = 1: 6(1) - 3 = 3

n = 2: 6(2) - 3 = 9

n = 3: 6(3) - 3 = 15

n = 4: 6(4) - 3 = 21

Answer:

Have you gotten the answers yet?

Step-by-step explanation:

Answer:

here you go

Step-by-step explanation:

the second picture is to part D if you can't see it

Answer:

D

Step-by-step explanation:

perimeter=2(l+b)

2[(4x+5)+(8x-4)]

2(4x+8x+5-4)

2(12x+1)

24x+2

Answer:

This is binomial.

Here n = 5

p = 2/7

mean = np = 5*2/7 = 10/7 = 1.42857

standard deviation = sqrt(npq) = sqrt(5*2/7*5/7) = 1.01015

Step-by-step explanation:

Work Shown.

The probability that exactly two of the five students of the class were born on weekend is 0.2975

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

n = 5

The probability that any student was born on weekend, P(W) = (2 / 7)

and, the probability that any student was not born on weekend

P(W') = {1 - P(W)}

        = {1 - (2 / 7)}

        = (5 / 7).

Thus, the probability that exactly two of the five students of the class were born on weekend

= ([tex]^5C_2[/tex]) x {P(W)}² x {P(W')}³

= 10 x {(2 / 7)²} * {(5 / 7)³}

= 10 x (4 / 49) x (125 / 343)

= (5000 / 16807)

≈ 0.2975

Learn more about probability here:

https://brainly.com/question/11234923

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Answer:

100

Step-by-step explanation:

80+20=100

Answer:

100 cubic units

Step-by-step explanation:

I'm just different like that man

Answer:

A

Step-by-step explanation:

12x12 = 144 per side

144x6 sides = 864

Answer:864

Step-by-step explanation:

Answer:

1/2 x base x height our base being 140 and our height being 80 and the answer is 5600

Answer: d is your answer hope this helped

plz make brainly

Step-by-step explanation:

Answer: for question 2

B

Step-by-step explanation:

23.15

+12.67

------------

35.82

40.00

- 35.82

---------

4.18

Answer:

my opinion is A hope it helps

Answer: B- Members of A are even numbers, and members of B are odd numbers.

Step-by-step explanation:

Amelia would have to multiply the number 7/10 on the price on the tags that she has to pay.

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

The discount on new camera bought by Amelia = 30%.

To find the number that Amelia should multiply to pay,

Let The required number be x,

and total price of the camera is 100%

So after discount the price of camera = 100 - 30 = 70%

Implies that,

100 × x = 70

x = 70 / 100

x = 7 / 10

So the required number is 7/10 that Amelia should multiply the price she would have to pay.

To know more about Percentage on:

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Answer:the ages of the youngest and the eldest is 4 years and 20 Years respectively

Step-by-step explanation:

Ratio of the ages of three children is 2:5:1.

Total ratio =2+5+1=8

So that

the 1st Child's age =2/8 x 32=8  years

2nd  Child's age =5/8 x 32= 20 years

3rd Child's age =1/8 x 32= 4  years

Therefore the ages of the youngest and the eldest is 4 years and 20 Years respectively.​

Answer:

im pretty sure its either 1 or 7

Step-by-step explanation:

Answer:

Option D.

Step-by-step explanation:

Have a fantastic Day !

Answer:

1. y = x + 9

2. y = 4x

3. y = -1/3x

4. x = y + 4  

5. x + 2y = 10  

Answer:

1/3

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

Given:

The data values are:

12, 3, 7, 8, 9, 12, 10

To find:

The mean,median ,and mode for the given set of date.

Solution:

We have,

12, 3, 7, 8, 9, 12, 10

Arrange the values in ascending order.

3, 7, 8, 9, 10, 12, 12

Mean of the data set is:

[tex]\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}[/tex]

[tex]\text{Mean}=\dfrac{3+7+8+9+10+12+12}{7}[/tex]

[tex]\text{Mean}=\dfrac{61}{7}[/tex]

[tex]\text{Mean}\approx 8.7143[/tex]

Number of observations is 7 which is an odd number. So, the median is:

[tex]Median=\dfrac{n+1}{2}\text{th term}[/tex]

[tex]Median=\dfrac{7+1}{2}\text{th term}[/tex]

[tex]Median=\dfrac{8}{2}\text{th term}[/tex]

[tex]Median=4\text{th term}[/tex]

The 4th term from the arranged data set is 9.

[tex]Median=9[/tex]

Here, the most frequent number is 12 because it occurs 2 times. So, the mode of the data set is 12.

Therefore, the mean of the data set is 8.7143, median is 9 and mode is 12.

Answer:

1a: 6.283

b: 51.313

c: 285.1

Step-by-step explanation:

Area of a sector = (angle/360)πr²

1a

Area=(45/360)π(4²)=6.283

b

Area=(120/360)π(7²)=51.313

c

Area=(270/360)π(11²)=285.1

Answer:

6 and 8

Step-by-step explanation:

Answer:

B: $14.50

Step-by-step explanation:

8% of $6.72 is $3.74 add that to the pay, and it will be $50.46 then 15% of that is $7.57. Add that to the previous number and you get $58.03, then divide by 4 people and you get $14.50.

Answer:

8

Step-by-step explanation:

So she uses 6 potatoes and 4 hard-boiled eggs then it says "how many eggs will she need if she uses 12 potatoes" So I know that 6 doubled and turned into 12 so 4 will double and turn into 8.

Answer: I think it's 24

Step-by-step explanation:

14.87

Step-by-step explanation:

use the Pythagorean theorem

a^2+b^2=c^2

C being the longest side of the triangle

14^2+5^2=C^2

196+25=C^2

221=C^

find the square root of 221

C=14.866

rounded to nearest tenth

C=14.87

Answer:

15

Step-by-step explanation:

5^2 +14^2=C^2

25+196=C^2

221=C^2

√221=√C^2

14.86=C

appr 15 =C