In right triangle ABC, ∠C is a right angle, m∠A=52∘, AC=10.01, and AB=c.
sin52∘≈0.788
cos52∘≈0.616
tan52∘≈1.280
What is the measurement of AB?


In right triangle GHI, ∠H is a right angle, m∠I=42∘, and GH=11.
sin42∘≈0.67
cos42∘≈0.74
tan42∘≈0.90
What is the measurement of HI?

Answer:

x = 13.5

Step-by-step explanation:

Once again, these two traingles share angle A and both have right angles. This shows AA similarity.

Now knowing this, we can set up a ratio:

(x+3)/3 = 11/2

Mulptiply both sides by 6:

2x+6 = 33

Isolate x:

2x = 27

divide by 2:

x = 13.5

Answer:

x=13.5

Step-by-step explanation:

i similar triangles sides are proportional.

[tex]\frac{x+3}{3} =\frac{11}{2} \\2x+6=33\\2x=33-6\\2x=27\\x=27/2=13.5[/tex]

Answer:

x = 3

Step-by-step explanation:

Data

Therefore:

From  Intersecting Secants Theorem :

CD*CE = CB*CA

Replacing with data:

(x + 1)*(x + 15) = x*(x + 21)

x² + 15x + x + 15 = x² + 21x

x² + 15x + x + 15 -x² - 21x = 0

15 - 5x = 0

15 = 5x

15/5 = x

3 = x

Answer:

B. x=3

Step-by-step explanation:

Answer:  [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

1.2 cm = 12 mm

So the amount of white fabric to coloured fabric is:

[tex]\frac{12}{48}[/tex] = [tex]\frac{1}{4}[/tex]

Answer: 129.81 m, roughly 130 m

Step-by-step explanation: Let me know if you need an explanation.

Answer:

Applying the alternative interior pair of angles theorem => B = 31 deg

Applying the trigonometry property of tangent, the distance from the cliff to the boat is calculated by:

D = 78/tan(B) = 78/tan(31) =~129.81

Hope this helps!

:)

Answer:

5-x^2

Step-by-step explanation:

Hope that helps

Answer:

5 - [tex]x^{2}[/tex]

Step-by-step explanation:

Taking [tex]x^{2}[/tex] away from 5.

Hope this helps!

stay safe :)

Answer:

the perimeter is 40

Step-by-step explanation:

The perimeter is all the sides added together. You would have to do: 8+8+12+12

Answer:

there are 10 possibilities out of 36, which is 27.8%, or a chance of 1 in 3.6

Step-by-step explanation:

Answer:

Look at the attachment

Answer:

Step-by-step explanation:

4x + y = 27

5x -y = 18

9x = 45

x = 5

4(5) + y = 27

20 + y = 27

y = 7

(5,7)

Answer:

Not a Proportional Relationship ; No Constant of Proportionality

Step-by-step explanation:

Consider the first example, 4 hours of parking costs $ 10. From this we can derive the ratio 4 : 10, so that hours parked : fee for parking is a common ratio among the two examples, the other being 5 : 12;

[tex]4 : 10, Simplify\\2 : 5, Take As Fraction,\\Solution; 2 / 5ths\\[/tex]

[tex]5 : 12, Simplify\\( Can't Be Simplified Further ) - Take as Fraction,\\Solution; 5 / 12ths[/tex]

Considering that the fractions when compared are not similar, ( 2 / 5, and 5 / 12 ) they don't have a proportional relationship, and thus have no constant of proportionality

Solution; Not a Proportional Relationship

If anything is unclear , Please notify me.

I have solved some examples. it's in the picture.

Answer:

B) y=3x+7.5

Step-by-step explanation:

The equation of the data in the table can be obtained by using any two points.

We will use points (3, 13) and (5,17)

The slope - intercept form is:

We find the slope as:

The equation becomes:

To find the value of b, the y -intercept is:

So the equation is:

A) y = 2x + 8.5

B) y=3x+7.5

C) y=5x+6.5

D) y=10x+5.5

Answer:

A salary with commission involves an employee have a fixed slary base but also receive commission for sales or performance.

Equation:   y = 1,478.00 + (249.00)(x)

Step-by-step explanation:

Step 1:

You will multiply the $249 commission rate and the number of each policy he sells. (249)(x)

Step 2:

You then add the monthly salary of 1,478.00 and the answer from step one.

1,4789 + (answer from step 1)

Step 3:

The sum of step 2 is Carson's total pay for the month.

Answer:

25%

Step-by-step explanation:

36-27 is 9

36*.25=9

therefore the answer is The camera is marked down by 25%.

Answer:

d ≤3

Step-by-step explanation:

9−4d≥−3

Subtract 9 from each side

9-9−4d≥−3-9

−4d≥−12

Divide by -4, remembering to flip the inequality

-4d/-4 ≤-12/-4

d ≤3

Answer:

w=18

Step-by-step explanation:

Answer:

-4.5

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

I just did it in my head so sry if it’s wrong but I’m trying to give back bc of how much brainless has helped me

ANSWER : A= 3r^2 {r>0}

1. square both sides

2. Expand

3. solve 3^2= A/3 :  A= 3r^2

4. A=3r^2

5. Verify solutions

Answer: No solution at any point

Step-by-step explanation:

If a system of equations comprises of:

y > 3x + 4 and y < 3x - 2

Since they both have the same slope and the different intercept in which one is positive and the other is negative, where first equation is greater than and the second is less than, there will be no solution at any point in the system of the equation because the two equation will create boundaries

Find the attached file for more information and explanation

answer

(0,-2)- is not a solution to the system

(5,0)- is a solution to the system

(3,13)- is not a solution to the system

Answer:

what grade is this

Step-by-step explanation:

76% , trust me i got it right

Answer: a. 55

Step-by-step explanation:

The formula to find the geometeric mean between two numbers a and b is given by :-

[tex]G.M. =\sqrt{ab}[/tex]

The given numbers are : 275 and 11

The geometric mean of 275 and 11 is given by :-

[tex]G.M.=\sqrt{275\times11}\\\\\Rightarrow\ G.M. =\sqrt{3025}\\\\\Rightarrow\ G.M.=\sqrt{55\times55}\\\\\Rightarrow\ G.M.=\sqrt{55^2}\\\\\Rightarrow\ G.M.=55[/tex]

Hence, the geometric mean of 275 and 11 is 55.

So , the correct option is a. 55 .

Andre and his dad have been fishing for 2 hours. In that time, they have caught 9 blue gills and 1 yellow perch. How many total fish are there?

There are 10 total fish. We are looking at how many fish there are, so we need  to add 9 + 1 to get our answer of 10 fish.

The next time Andre gets a bite, what kind of fish do you think it would be?

My prediction is that it will be a blue gill.

How do you know your prediction is more likely to happen?

9 out of 10 times, they have caught a blue gill. This is more probable than 1 out of 10.

Can you make any other predictions?

I would say that Andre will catch less yellow perches than blue gills. This is because the probability of catching a blue gill is greater than catching a yellow perch. I would also say that Andre will catch 5 fish per hour, since he caught 10 fish in 2 hours.

Answer:

25 degrees

Step-by-step explanation:

85 +x-10 + 2x=180

85-10+3x=180

75+3x=180

3x=105

x=35

 35-10=25

Answer:

25

Step-by-step explanation:

Go it right on edge

Answer:

y=3x+1

Step-by-step explanation:

First, we have to find the slope. [tex]\frac{4-(-5)}{2-(-1)}[/tex] This comes out to 9/3. This becomes 3. Now we need to find the y-intercept. Now write out how to find the answer. 4=3(2)+b. 4=3+b. Subtract 3 from both sides to get 1=b. Now write out the equation. y=3x+1

Answer:

C.

Multiply the first equation by 18; multiply the second equation by 18; add the equations.

D.

Multiply the first equation by − 6; multiply the second equation by 4; add the two equations.

E.

Multiply the first equation by 3; multiply the second equation by − 2;add the two equations.

Step-by-step explanation:

All of these procedures work because they are canceling out the x and y values in both equations.

Answer:

The values of x that makes f(x) have a valid asymptote are 1 and 8

Step-by-step explanation:

Given

[tex]f(x) = \frac{9}{(x-1)(x-8)}[/tex]

Required

At what value does f(x) has a vertical asymptote

To solve this, we simply equate the denominator of f(x) to 0;

This is done as follows

[tex]{(x-1)(x-8)} = 0[/tex]

This can be split to

[tex]{(x-1) = 0 \ or\ (x-8)} = 0[/tex]

Remove brackets

[tex]x-1 = 0 \ or\ x-8 = 0[/tex]

Make x the subject of formula in both cases

[tex]x-1+1 = 0+1 \ or\ x-8+8 = 0+8[/tex]

[tex]x= 0+1 \ or\ x = 0+8[/tex]

[tex]x= 1 \ or\ x = 8[/tex]

The values of x that makes f(x) have a valid asymptote are 1 and 8

Answer:

The correct answer is 1 and 8

Step-by-step explanation:

Answer:

Put the X on the 3rd box down

Step-by-step explanation:

Answer:

the third step

Step-by-step explanation:

they ignored order of ops and added 5+12 instead of being smart and doing 12x2 like regular people.