Find x. Round your answer to the nearest tenth of a degree.

Find X. Round Your Answer To The Nearest Tenth Of A Degree.

Answers

Answer 1

Answer:

42°

Step-by-step explanation:

8 is the opposite

12 is the hypotenuse

We know from SOHCAHTOA to use sine

Since we are looking for the angle, we use sin^-1

sin^-1(opposite/hypotenuse)=x

sin^-1(8/12)=x

Input into calculator

x=42°

Answer 2

Step-by-step explanation:

we use the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

where the the side and related angle are always opposite to each other.

so,

12/sin(90) = 8/sin(x)

12/1 = 8/sin(x)

12 = 8/sin(x)

3 = 2/sin(x)

sin(x) = 2/3

x = 41.8103149...° ≈ 41.8°


Related Questions

I NEED ASAP ON THIS MATH PROBLEM

Answers

y=3x-5 is the equation
ANSWER: y = 3x - 5
Ok done. Thank to me :>

winter coat was originally priced at 140$ and went on sale for 91$ by what percentage was the price of the winter coat reduced?

Answers

Answer:

35%

Step-by-step explanation:

Find out what percent 91 is of 140

91÷140 = 0.65

Then find out how much was reduced by subracting 0.65 from 1

1 - 0.65 =0.35

The coat was reduced by 35%

What is the value of 8.25p + 3.99c, when p=11 and c= 7? *

Answers

Answer:

Your answer is p=3.99;$51.87

A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded. Which of the following procedures would produce a simple random sample?

Assign the homework questions the numbers 1–10. Use a random number table to select the first three numbers between 1 and 10. These represent the questions that will be graded.
Assign the homework questions the numbers 0 to 9. Use a random number table to select the first three numbers between 0 and 9. These represent the questions that will be graded.
Assign the homework questions the numbers 01–10. Use a random number table to select the first three 2-digit numbers between 01 and 10. These represent the questions that will be graded.
Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.

Answers

Answer:

Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.

Step-by-step explanation:

Assign the homework questions the numbers 0 to 9. Use a random number table to select the first three numbers between 0 and 9. These represent the questions that will be graded.

How to Assign Random Numbers?

We are told that a teacher assigned 10 questions for homework and would like to randomly pick 3 questions to be graded. Now, this simply has to follow the correct procedure of random selection.

The procedure that the teacher should follow is as follows;

Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.

Read more about Random Numbers at; https://brainly.com/question/251701

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PLEASE HELP I"LL GIVE BRAINLEAST

Rico paid $180 sales tax on his new $2,400 motorcycle. What was the sales tax percentage rate where he bought his motorcycle?

7.0% tax rate

7.5% tax rate

8% tax rate

6.5% tax rate

Answers

Answer:

7.5 % Tax rate

Step-by-step explanation:

I used used the calculator to figure out the rate

$2,400 X 7.5%= 180

7.5 percent tax rate because if you subtract $2,400 -118 you get 7.5

Find profit or loss percent if CP-Rs 900 and loss =Rs 360​

Answers

loss%=loss/CP×100%

=Rs.360/Rs.900×100%

=Rs. 360/9

loss% =40% ans

Write an equation of a line that is perpendicular to the given line and passes through the given point.
y = 6x - 7
(12,-4)
• y = 6x +5
• y = -6x-5
• y = -1/6 x + 6
•y = -1/6 - 2

Answers

Answer:

• y = -6x-5

Step-by-step explanation:

The perimeter of a square is 16 inches what is the length of each side?

Answers

If the total perimeter is 16 then each side would be 4 because we add each each side to find a perimeter. 4 + 4 + 4 + 4 = 16

Find the area of a rectangle & triangle! NEED HELP ASAP

Answers

Answer:

For rectangle: A=wl

Step-by-step explanation:

Multiply the length by the with to find the answer

Which equation is equivalent to the formula r = st? t equals s over r t = rs s equals r over t s = rt.

Answers

Answer:

Step-by-step explanation:

r = st------------

Other correct expressions:

t = r/s

s = r/t

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

Choices

1)  t = s/r   No

2) t = rs     No

3)  s =r/t    Yes

4)  s = rt    No

The equation that is equivalent to the given equation is [tex]s = r/t[/tex] and this can be determined by using the arithmetic operations.

Given :

Equation is [tex](r = st)[/tex].

The following steps can be used in order to determine the equation that is equivalent to the given equation:

Step 1 - Write the given equation.

[tex]r = st[/tex]    --- (1)

Step 2 - The arithmetic operations can be used in order to determine the equation that is equivalent to the given equation.

Step 3 - Now, divide 't' on both sides in the equation (1).

[tex]\dfrac{r}{t} = \dfrac{st}{t}\\\\\\dfrac{r}{t}=s[/tex]  

Therefore, the correct option is C).

For more information, refer to the link given below:

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A cylindrical tank with radius 5 m is being filled with water at a rate of 3 m^3/min. How fast is the height of the water increasing

Answers

Answer:

[tex]\frac{3}{25\pi}[/tex] meters per minute

Step-by-step explanation:

Given:

[tex]V=\pi r^2h[/tex]

[tex]r=5[/tex]

[tex]\frac{dV}{dt}=3[/tex]

[tex]\frac{dh}{dt}=?[/tex]

Substitute r=5:

[tex]V=\pi r^2h[/tex]

[tex]V=\pi(5)^2h[/tex]

[tex]V=25\pi h[/tex]

Differentiate both sides:

[tex]\frac{d}{dt}V=\frac{d}{dt}(25\pi h)[/tex]

[tex]\frac{dV}{dt}=25\pi\frac{dh}{dt}[/tex]

Solve for dh/dt:

[tex]3=25\pi\frac{dh}{dt}[/tex]

[tex]\frac{3}{25\pi}=\frac{dh}{dt}[/tex]

Therefore, the height of the water is increasing at a rate of [tex]\frac{3}{25\pi}[/tex] meters per minute.

the sum of kyras and calebs age is 37. calebs age is equal to twice the quantity of kyras age decreased by 4. let k represent kyras age.

Answers

Caleb - c
Kyras - k

k+c=37
c=2k-4

k+(2k-4)=37
3k=41
k=41/3= ~13.67 years old

c=37-k
c=(111-41)/3
c=70/3=~23.33 years old

add the expression(3x+2)+(2x+5)​

Answers

5x+7 u add the light terms

Find the value of x, y, and z.

Answers

x is 90 degrees
i don’t know what the rest are

Which expression is equivalent to −78−(−34)


HELP PLEASE!

Answers

the answer would be D
76-(-34) those two - turn into a plus

Two similar triangles are shown on the coordinate grid:

A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A triangle ABC is shown with vertex A on ordered pair negative 2, negative 1, vertex B on ordered pair 0, 0, and vertex C on ordered pair 1, negative 3. A triangle A prime B prime C prime is also shown with vertex A prime on ordered pair negative 4, 2 , vertex B prime on ordered pair 0, 0 and vertex C prime on ordered pair 2, 6.
Which set of transformations has been performed on triangle ABC to form triangle A′B′C′? (5 points)

Dilation by a scale factor of 4 followed by reflection about the x-axis
Dilation by a scale factor of 2 followed by reflection about the x-axis
Dilation by a scale factor of 4 followed by reflection about the y-axis
Dilation by a scale factor of 2 followed by reflection about the y-axis

Answers

The set of transformation is: (b) dilation by a scale factor of 2 followed by reflection about the x-axis

The coordinates of the triangles are given as:

Triangle ABC

[tex]A =(-2, -1)\\[/tex]

[tex]B =(0, 0)[/tex]

[tex]C =(1, -3)[/tex]

Triangle A'B'C'

[tex]A' = (-4, 2)[/tex]

[tex]B '=(0, 0)[/tex]

[tex]C '=(2, 6)[/tex]

Start by dilating triangle ABC by a scale factor of 2.

The rule of this transformation is [tex](x,y) \to (2x,2y)[/tex]

So, we have:

[tex]A' =(-4,-2)[/tex]

[tex]B' =(0,0)[/tex]

[tex]C' = (2,-6)[/tex]

Next, we reflect the triangle across the x-axis.

The rule of this transformation is [tex](x,y) \to (x,-y)[/tex]

So, we have:

[tex]A' = (-4, 2)[/tex]

[tex]B '=(0, 0)[/tex]

[tex]C '=(2, 6)[/tex]

Hence, the set of transformation is: (b) dilation by a scale factor of 2 followed by reflection about the x-axis

Read more about transformation at:

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Triangle ABC has coordinates A(−6,2), B(−3,6), and C(5,0). Find the perimeter of the triangle. Round your answer to the hundredths place (2 decimal places) I will give brainliest

Answers

Answer:

26.18 units

Step-by-step explanation:

You could use distance formula three times to calculate the length of each side. Add the three lengths to find the perimeter. However, (see image) if you look at a graph of these points, two of the sides are the hypotenuse of a right triangle that have known, integer values--Pythagorean triples. The sides are 3-4-5 and the other is 6-8-10. We use the Pythagorean theorem to find the third side. See image.

11.18 + 5 + 10

= 26.18 units

The perimeter of triangle is 26.18.

What is triangle?

A triangle is 2-dimensional closed curve. which has 3 sides, 3 angles and 3 vertices.

According to the question,

Triangle ABC has coordinates A(-6,2), B(-3,6), C(5,0).

Distance formula: √(x₂-x₁)² + (y₂-y₁)².

Points A and B are (-6,2) and (-3,6)

= √(-3-(-6))² + (6-2)²

= √9+16

= √25

=5.

Thus, point A and B has distance, S₁ = 5.

Points B and C are (-3,6) and (5,0)

Distance formula: √(x₂-x₁)² + (y₂-y₁)²

= √(5-(-3))² + (0-6)²

= √(8)² + (-6)²

= √(64+36)

=√100

=10.

Thus, point B and C has distance, S₂ = 10.

Points C and A are (5,0) and (-6,2)

Distance formula: √(x₂-x₁)² + (y₂-y₁)²

= √(-6-(5))² + (2-0)²

= √((-11)² + (2)²)

=√(121+4)

=√125

=5√5

Thus, point C and A has distance, S₃= 5√5.

Perimeter of triangle = S₁ + S₂+S₃

= 5 + 10 + 5√5

=15+5√5

=15+5(2.23606)

=15+11.1803

=26.1803 ≈ 26.18

Hence, the perimeter of triangle is 26.18.

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Sam has a piece of rope that is 3. feet long. He cuts the rope so that one piece
is 13 feet long. How long is the other piece?
2 feet
2 feet
27 feet
12 feet
Done

Answers

Answer:

1.11 feet

Step-by-step explanation:

i assume you meant inches not feet so you will just multiply 3 feet by 12 to change it into 36 inches do 36-13 get 33 dived by 12 get 1 with a remainder of 11 so 1.11

which system of equations cannot be readily solved by the substitution method 6x+12y=11

Answers

Answer:

Step-by-step explanation:

well first off when you work through the promblem you will have to think about the promblem like the variables will cancel out and will have a equation consisting of only contasts.

Pls help trig question!!

Answers

[tex]4\sin^2 x - 3 = 3 \sin x\\\\\implies 4\sin^2 x -3 \sin x -3 =0\\\\\implies 4u^2 -3u -3 =0~~~~~~~~~~~~~~;[\text{Set} ~ \sin x = u]\\\\\implies u = \dfrac{-(-3) \pm \sqrt{(-3)^2 - 4\cdot 4 \cdot (-3)}}{2(4)}~~~~~~;[\text{Apply quadratic formula}]\\\\\\\implies u = \dfrac{3\pm\sqrt{57}}8\\\\\implies \sin x = \dfrac{3\pm\sqrt{57}}8~~~~~~;[\text{Substitute back}~ u = \sin x]\\\\\text{Now,}\\\\\sin x = \dfrac{3+\sqrt{57}}8\\\\\text{No solution for}~ x\in \mathbb{R} ~\text{Since}~ -1\leq \sin x \leq 1\\[/tex]

[tex]\sin x = \dfrac{3 - \sqrt{57}}8\\\\\implies x = n\pi + (-1)^n \sin^{-1} \left(\dfrac{3-\sqrt{57}}8\right)\\\\\\\text{ When n = 1,2 and}~ [0,2\pi]},\\\\\\x= \pi - \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)~ \text{and} ~x = 2\pi + \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)\\\\\text{In decimal,}\\\\x= 3.75~~~~ \text{and}~~~ x =5.68[/tex]

Use the information to answer the question.
A crew is loading crates onto a train. They can load 4 crates every 1.25 minutes. Each crate weighs 160 pounds.
C
=
At that rate, how many minutes would it take the crew to load crates with a total weight of 2400 pounds? Round the answer to the nearest
tenth. Enter the answer in the box.
minutes
Plz help me no links

Answers

Answer:

4.7

Step-by-step explanation:

2400/160 =15 crates

4/1.25=3.2 crates a minute

15/3.2=4.68 minutes

4.7 because it rounds up

To load 2400 pounds of crates crew will take around 4.69 minutes.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given,

Crew can load 4 crates every 1.25 minutes

4 creates ⇔ 1.25 minutes

Given,

1 crate = 160 pounds

So,

4 crate = 640 pounds

So,

640 pounds ⇔ 1.25 minutes

1 pound ⇔ 1.25/640 minutes

To load 2400 pounds

2400 pounds ⇔(1.25/640)2400 minutes

2400 pounds ⇔ 4.6875 minutes.

Hence " To load 2400 pounds of crates crew will take around 4.69 minutes".

For more information about ratio and proportion,

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Which equation choice could represent the graph shown below?

Answers

(X+6)x(x-6)

You can look at the roots, which are -6, 0, and 6.

help me answer please

Answers

Answer:

Sorry

Step-by-step explanation:

The volume of an eraser is 9.6cm cube Its height is 0.8cm find the area of it base

Answers

Step-by-step explanation:

V epual to L x W x H

9.6cm x 0.8cm

9.6

x 0.8

46

Answer:

12 cm

Step-by-step explanation:

[tex]v_{eraser} = area \: of \: base \times height \\ \\ \therefore \: area \: of \: base = \frac{v_{eraser}}{height} \\ \\ = \frac{9.6}{0.8} \\ \\ = 12 \: cm[/tex]

1. Represent the following sentence as an algebraic expression, where "a number" is the letter x.

8 is added to a number.

2. When solving an equation, Bianca's first step is shown below. Which property justifies Bianca's first step?

Original Equation:
4x-5= -4
First Step:
4x= 1

A. multiplication property of equality
B. addition property of equality
C. commutative property of addition
D. commutative property of multiplication

Answers

Answer:

The answer is C since she is adding 5 to both sides

Hope This Helps!!!

Help please!!!!!!!!!!!!!

Answers

Answer:

Hm? Is there meant to be a file, if so I can’t see it. :((

Step-by-step explanation:

Which represents the explicit formula for the arithmetic sequence an = 7 - 3(n - 1) in function form?

Answers

Answer:

f(n) = 7 - 3n + 3 and

f(n) = 10 - 3n or

f(n) = -3n + 10

Step-by-step explanation:

..............................

Answers

Answer:

A rational number is a number that doesn't terminate or repeat

a non rational number is a number that terminates or repeats

so she basicelly got mixed up

Hope This Helps!!!

Someone please help me with this it’s an emergency

Answers

Answer:

The answers are given in the photo

which one weighs more a watermelon that weighs 1.7 kilograms or a pumpkin that weighs 12 pounds?

Answers

Answer : pumpkin that is 12 pounds

Step - by - step explanation :

First, convert . . . what is 1.7 kilograms as pounds ?  3.74786 ( rounded is 4 pounds )

Second, compare . . . 4 < 12

Hope this helped ! :>

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