Unit 9 test: Trigonometry
What is the right answer to this problem?

Answer:

Step-by-step explanation:

take 30 degree as reference angle

using cos rule

cos 30=adjacent/hypotenuse

[tex]\sqrt{3}[/tex]/2=7[tex]\sqrt{3}[/tex]/y(do cross multiplication)

14[tex]\sqrt{3[/tex]=y[tex]\sqrt{3}[/tex]

14[tex]\sqrt3}[/tex]/[tex]\sqrt{3}[/tex]=y

14=y

for x

using pythagorsa theorem

H^2=P^2+B^2

14^2=X^2+(7[tex]\sqrt{3}[/tex])^2

196=X^2+147

196-147=X^2

49=X^2

[tex]\sqrt{49}[/tex]=X

7=X

Answer:

d. Subtract x from both sides.

Answer:

Step-by-step explanation:

Given the expression

b|3a – 81 – 3/2 – 2a

If a = -4, b = 1/2

Substitute

(1/2)/3(-4) - 81 - 3/2 - 2(-4)

1/2 * 1/-12 - 81 - 3/2 + 8

= -1/24 - 81 + 8 - 3/2

= -1/24 - 3/2 - 73

= -1-36-1,752/24

= -1,789/24

= -74.5

Answer:

∠3 = 81

Step-by-step explanation:

Interior angles in a triangle add up to equal 180°

Hence, 58° + 41° + ∠3 = 180

58 + 41 = 99

99 + ∠3 = 180

* subtract 99 from each side *

99 - 99 cancels out

180 - 99 = 81

we're left with ∠3 = 81°

Answer:

0

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Its 1 because the square root of anything is that number having the ability to be multiplied by the same number. And that is going to be a positive number.

Answer:

y = -2x + 1

Step-by-step explanation:

Parallel lines are two lines that have the same plane and slope but never intersect.

Answer:

2

What is the extract trying to achieve? in The Explorer’s Daughter

Answer:

B(x+2)^2+y^2=16

Step-by-step explanation:

since you have an x-coordinate only and it is negative and a y coordinate which is 0..basically x will appear positive with its conjecture x^2 and the y value will be independent...y^2...bare in Mind that radius is always squared hence it is 16 instead of 4

Answer:

33

Step-by-step explanation:

Values beyond the whiskers of the boxplot are called the outliers :

For a right side Outlier :

Values > Q3 ± 1.5(IQR) ;

IQR = Q3 - Q1)

From the data given:

IQR = (40 - 18) = 22

Hence ; the maximum value of right side whisker will be :

1.5(22) = 33

The maximum possible length of the right-side "whisker" is 33

The given parameters are:

Start by calculating the interquartile range (IQR) using:

[tex]IQR = Q3 -Q1[/tex]

So, we have

[tex]IQR = 40 - 18[/tex]

[tex]IQR = 22[/tex]

The maximum possible length of the right side whisker is then calculated as:

[tex]L = 1.5 \times IQR[/tex]

This gives

[tex]L = 1.5 \times 22[/tex]

Multiply 1.5 by 22

[tex]L = 33[/tex]

Hence, the maximum possible length of the right-side "whisker" is 33

Read more about box and whisker plots at:

https://brainly.com/question/3293067

Answer:

0.003750 inches

If the thickness of 500 pieces is given as 1.875. the thickness of one sheet of paper can be determined by dividing the total inches by 500

Thickness of each paper = thickness of total paper / 500

1.875 / 500 = 0.003750 inches

Step-by-step explanation:

Answer:

If the thickness of 500 pieces is given as 1.875. the thickness of one sheet of paper can be determined by dividing the total inches by 500

Thickness of each paper = thickness of total paper / 500

1.875 / 500 = 0.003750 inches

Step-by-step explanation:

Answer:

Total Area: 60

Step-by-step explanation:

The area of the rectangle is the easiest to find. Just multiply 12x4.

12x4=48

For the triangle. You can subtract 4 from the height of 10ft.

The height of the triangle is now 6ft.

To calculate the area of a triangle, multiply the height by the base (this is also known as the 'width') then divide by 2.

Btw the image was really small. Kind of hard to see the numbers.

Answer:

the divisors of 63 are

Step-by-step explanation:

1,3,7,9,21,63

Answer:

Fraction Form: 2/6 or 1/3

or Decimal Form: .333

or Percent Form: 33.333?%

Step-by-step explanation:

The divisors of 63 that are 1-6 is 1 and 3

So there are TWO numbers out of SIX.

We would turn that into the fraction 2/6 and then simplify (optional) it to 1/3.

Then we use 2/6 to convert it to multiple forms if needed.

Answer:

One apple pie is $4 and one blackberry pie is $20

Step-by-step explanation:

Create a system of equations where a is the cost of one apple pie and b is the cost of one blackberry pie:

10a + 2b = 80

10a + 3b = 100

Solve by elimination by multiplying the top equation by -1, then adding the equations together:

-10a - 2b = -80

10a + 3b = 100

Add these together:

b = 20

So, one blackberry pie is $20. Plug in 20 as b into one of the equations, and solve for a:

10a + 2b = 80

10a + 2(20) = 80

10a + 40 = 80

10a = 40

a = 4

So, one apple pie is $4.

One apple pie is $4 and one blackberry pie is $20

Answer:

16 miles

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

Actual area = 3.2 x 5 = 16 miles

Answer:

C=89.2

Step-by-step explanation:

The formula of the circumference of a circle is C=2piR (or C=piD). Now, when calculating, plug in the numbers, giving you C=2pi14.2. Multiply everything, you get a super long irrational number; just round. You will get 89.2.

435.6

mark me brainliestt pls :)))

Answer:

can't answer without the picture because you need the route to know how far.

Answer: В. Same distance and same direction

Step-by-step explanation:

A translation is a  rigid transformation that maps each point of the original figure to a new position by the same distance and in the same direction.

It does not change the size or shape of the image.

Thus the correct statement relates to translation is "Same distance and same direction"

Hence, the correct option is B.

Step-by-step explanation:

Q4. A &B : 10m-16 & 2(5m-8)

Q7. 8a-(-3-5a)-2a

step 1 is error

it should be:

step 1: 8a+3+5a-2a

step 2: (8a+5a-2a)+3

step 3: (13a-2a)+3

step 4: 11a +3

the perimeter of square:

A, B & C are correct

Q5. yes, no, no, yes, yes

Answer:

A) option (a) i.e 10m-16

C) option (b) i.e 4(n-1.5)

E) option (a) i.e Step1: 8a+3-5a-2a

sorry I don't know the ans of ques 7 and 5

hope above ans may help you

Answer:

the algebraic equation would be

4n x 25

Answer:

Imma but it in the comments because i can't put it on here plus i can't put the thing on here either that's why i didn't do it yesterday

Step-by-step explanation:

Answer:

Consistent

Step-by-step explanation:

It was a solution.

The equation of the given circle is :

[tex](x - 2) {}^{2} + (y - ( - 2)) {}^{2} = 9[/tex]

So the value in the blanks will be :

========================================

Explanation:

distance = rate*time

90 = r*t

where r is the slower speed and t is the time it takes when going that slower speed.

If r is bumped up 24 mph faster, to r+24, then Santos takes t-12 hours to get there. The second equation is

90 = (r+24)(t-12)

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

We can solve the first equation for r to get r = 90/t

Then plug this into the second equation and do a bit of algebra

90 = (r+24)(t-12)

90 = (90/t+24)*(t-12)

90 = 90 - 1080/t + 24t - 288

90t = 90t - 1080 + 24t^2 - 288t

0 = 90t - 1080 + 24t^2 - 288t-90t

0 = 24t^2 - 288t - 1080

24t^2 - 288t - 1080 = 0

If you apply the quadratic formula, then you should get the two solutions t = -3 and t = 15. Due to time constraints, I'll skip these steps.

We'll ignore the negative t value. It makes no sense to have a negative time.

So we focus on t = 15 as the only solution.

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

If t = 15, then,

r = 90/t

r = 90/15

r = 6

Santos rode his bike at 6 mph at first. Going this speed means he takes 15 hours.

If he rode 24 mph faster, at 6+24 = 30 mph, then he would ride for 15-12 = 3 hours instead. Note that 90/30 = 3.

Answer:

The Slope Is 0.6

Step-by-step explanation:

Formula: [tex]m=\frac{yb-ya}{xb-xa}[/tex]

Solution:

[tex]m=\frac{-10-2}{-16-4}[/tex]

[tex]m=\frac{12}{-20}[/tex]

m=0.6

Answer:

the answer would be -12/-20 or 0.60

Step-by-step explanation:

Brother Answer is 12 inches