For an angle with measure x in a right triangle, sin x = 112/113
and tan x = 112/15. What is the value of cos x?

Answer:

21.70-3/4n

Step-by-step explanation:

Answer:

F

Step-by-step explanation:

see attached image above

Answer:

Step-by-step explanation:

the area will be

A=(4x+3)(3x-2)

A=12x^2-8x+9x-6

A=12x^2+x-6

Answer:

Quadrant 2

Step-by-step explanation:

-8 - 9 = -17

5 - (-1) = 6

(-17, 6) = second quadrant

Step-by-step explanation:

step 1. the x intercept is when y=0.

step 2. 2x -5(0) = 20 or x = 10.

step 3. the x intercept is (10, 0)

step 4. the y intercept is when x=0.

step 5. 2(0) - 5y = 20 or y = -4

step 6. the y intercept is (0, -4).

The height of the building is approximately 105 ft.

According to the question,

We have the following information:

The angle made from their location to the building = 59°

The distance of the building from their location = 63 ft

Now, we can find the height of the building by using trigonometric function of tan.

We know that tan is equal to perpendicular/base.

In this case, perpendicular is the height of the building and base is the distance of the location from the building.

We have:

Tan 59° = Height of the building/distance of the building from the location

We know that the value of tan 59° is 1.6643.

Let's take the height of the building to be H ft.

1.6643 = H/63

H = 1.6643*63 ft

H = 104.85 ft

Now, this number can be rounded off to 105 ft.

Hence, the correct option is a.

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Explanation:

When two lines have different slopes like this, it means the two lines are not parallel. Recall parallel lines are when the slopes are equal (the rise and run are the same, so you can think of it like the same stair-step pattern).

Non-parallel lines intersect at exactly one location. This point of intersection is the solution to the system of equations.

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A more in-depth look (optional section)

Let's consider the system of equations shown below

[tex]\begin{cases}y = mx+b\\y = mx+c\end{cases}[/tex]

For each equation shown here, the m values are the same slope. However, b and c are different values (in other words, [tex]b \ne c[/tex]). This system describes any two parallel lines that aren't vertical.

Since we're dealing with the same y value, we can apply substitution to try to solve for x. But we run into a problem

y = mx+b

mx+c = mx+b ... replace y with mx+c

c = b .... subtract mx from both sides

But we stated that c and b were different, and not equal. This is a contradiction. So if we had a system of this form, then we have 2 parallel lines that lead to no solution. We call this an inconsistent system.

Next, we'll consider this system of equations

[tex]\begin{cases}y = mx+b\\y = nx+c\end{cases}[/tex]

The only thing different here is the second equation has n instead of m as its slope. We'll assume that m and n are not equal to each other. If m = n, then we just end up with the previous scenario. Let's try to solve x now

y = mx+b

nx+c = mx+b

nx-mx = b-c

(n-m)x = b-c

x = (b-c)/(n-m)

Assuming [tex]m \ne n[/tex], we can generate one solution for x as shown above. This single solution for x generates a corresponding single solution for y. So overall, this proves that we have one ordered pair (x,y) solution to this system.

In short, I've shown that if m and n are different slopes, then the system of equations has exactly one solution.

Do you mean exponential form as in scientific notation or as in prime factorization.

Now matter I will do both.

As in scientific notation.

200*75

=150*100

=1.5*10000

=1.5*10^4

As in prime factorization.

200*75

=2^3*5^2*3*5^2

=2^3 * 3 * 5^4

Do the one your teacher ask for :) Hope it helps!

Answer:

0.15

Step-by-step explanation:

Answer:

56.29

Step-by-step explanation:

56.29^° is the answer

The bearing of town C from town A at the given position of the three towns is determined as 93.3⁰.

The distance of town C from town A is calculated by applying Cosine rule. The distance of town C from town A is represented by small letter "b" as shown in the image.

b² = a² + c² - 2ac[cos B]

b² = (8)² + (7)² - 2(8 x 7 x cos77)

b² = 87.81

b = √87.81

b = 9.37 km

The value of angle A is determined by applying Sine rule as shown below;

sin A/a = sin B/b

sin A = (a x sin B)/b

sin A = (8 x sin 77)/9.37

sin A = 0.832

A = sin ⁻¹ (0.832)

A = 56.3⁰

The bearing of town C from town A is determined from the sum of 37⁰ and angle A.

θ = A + 37⁰

θ = 56.3⁰ + 37⁰

θ = 93.3⁰

Thus, the bearing of town C from town A at the given position of the three towns is determined as 93.3⁰.

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Answer:

73.5

Step-by-step explanation:

Answer:

86.64 uwu

Step-by-step explanation:

Answer:

190 yd^2

Step-by-step explanation:

This is a parallelogram, and you can essentially take the dotted line, cut off the excess and stick it on the back creating a rectangle with length 15.2 yd and height 12.5. To find the area you multiply the 2 together getting 190 yards squared.

Answer: C.

Step-by-step explanation: 14

Answer:

C. 14

Step-by-step explanation:

Simplify the expression.

-3(7 + 5) ÷ 3² + 9(2)

-3 ⋅ 12 ÷ 3² + 9(2)

-36 ÷ 3² + 9(2)

Simplify each term.

Raise  

-36 ÷ 9 + 9(2)

Divide

-4 + 9(2)

Multiply

-4 + 18

Add

14

good luck, i hope this helps :)

Answer:

The answer is £20

Step-by-step explanation:

Since the game is half-priced, we just have to divide the original price by 2.

£40/2 = £20

Answer:

-200 isn't higher than 450 but 450 is:

450 is 250 higher than -200

Step-by-step explanation:

Answer:

£6368

Step-by-step explanation:

You can start by making a formula, which will be:

100/100=1

1.5/100=0.015

1+0.015=1.015 (your multiplyer)

6000*1.015^n= your money after 4 years

(n represents the number of years)

Now you just put in the number of years:

6000*1.015^4=6368.181304

Now round:

Answed= £6368

Answer: 112, 68, 22, 90

Step-by-step explanation:

This is fairly somewhat easy

since the adjacent side of 1 is 68 degrees

then 1 would be 112 degrees to make it supplementary to 180 degrees

angle 3 is vertical of angle 68

making it 68 degrees

angle 5 is given to be 90 degrees meaning angle 4 is inbetween

angles 3 and 5 so ( 68 and 90 ) that'll add up to 158 meaning angle 4

is 22

angle 1 = 112

angle 3 = 68

angle 4 = 22

angle 5 = 90

Answer:

hello! although i am not really knowlegeble about this subject,  i hope the lengths below can help you solve the problem :)

Step-by-step explanation:

side length: 62.03inches

perimeter: 168.06

area:1276

if this does help you, a brainliest would be appreciated!

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Arithmetic Operation.

====> 5(3+6) + 5*3/ 5(4-1)

=====> 5(9) + 15 / 5(3)

=====> 45+15 / 15

=====> 60/15

======> 4

answer is 4

Answer:

y = 25.8

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos y = adjacent/ hypotenuse

cos y = 18/20

Take the inverse cos of each side

cos ^-1 (cos y) = cos^-1(18/20)

y =25.84193276

Rounding to the nearest tenth

y = 25.8

Answer:

30 minutes each evening

Step-by-step explanation:

5.25 / 7 = 0.75 hours each day = 45 minutes

45 - 15  = 30 minutes

Answer:

x=[tex]\frac{10}{14}[/tex]

Step-by-step explanation:

y=7x-2

2(7x-2)-4x=10

14x-4-4x=10

14x-4x=10-4

10x=14

x=[tex]\frac{10}{14}[/tex]

Answer: 70% as a decimal is 0.7.

Step-by-step explanation: "Per" means 100. To find the decimal, divide 70 by 100.

70 / 100 = 0.7

Hence, that is our answer.

70% as a fraction is 70/100.

Again, Per means 100. To get that answer, look at the decimal. The number 7 is 7 tenths. Since it means tenths, instead of 100, put 10.

Hence, 70/100 and 0.7 is the answer.

Answer:

A.9

Step-by-step explanation:

9 x 3 = 27, 27 divided by 3 is.. 9

Answer:

E, F, B, and C

Step-by-step explanation:

Im just learning about these kind of things and this is a challenging question not going to lie.

I chose B because expanding and building more factories is apart of economics. You need more land to expand your business, but this will also affect the economy.

C seems like a good answer also because writing about economic trends is an important thing in economics. This also helps others learn out the economy and what not to do and what to do to help make our environment a better place.

I chose E because starting a business is apart of economics. A lot of business are apart of economic systems and help money come into our economy.

F is a good answer for me because the U.S government has been apart of America's economic system for a long time just like they are involved with everything else. The government is a big help and a big part of our economy, especially for america.

Answer:

a = 4 , b = -2

Step-by-step explanation:

3a + b = 10

2a + 4b = 0

(By using elimination method, eliminate one variable) - to get only one equation

(3a + b = 10 ) 4

2a + 4b = 0

12a + 4b = 40

(minus)

2a + 4b = 0

10a = 40

a = 40/10

a = 4

(substitute a into an equation to get b)

2a + 4b = 0

2(4) + 4b = 0

4b = 0 - 8

b = -8/4

b = -2