Find the measure of the indicated angle

Answer:

A

Step-by-step explanation:

So we want to find the tangent of Angle QSR.

First, note that Angle QSR and Angle TSQ forms a supplementary angle. Thus:

[tex]QSR+TSQ=180[/tex]

We already know that TSQ is 150, thus:

[tex]QSR+150=180[/tex]

Subtract:

[tex]QSR=30[/tex]

So, QSR is 30 degrees.

Find tangent of 30 degrees.

[tex]\tan(30)[/tex]

1) If you know the unit circle:

At 30 degrees, our coordinate is:

[tex](\frac{\sqrt3}{2},\frac{1}{2}})[/tex]

So, our answer would be:

[tex]\tan(30)=\frac{\frac{1}{2}}{\frac{\sqrt3}{2}}[/tex]

Simplify:

[tex]\tan(30)=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]

2) If you don't know the unit circle.

Recall that 30-60-90 is a special right triangle.

The side opposite to 30 is x, the side adjacent to 30 is x√3, and the hypotenuse is 2x.

Therefore, tangent of 30 is opposite over adjacent. Thus:

[tex]\tan(30)=opp/adj[/tex]

Substitute x for opposite and x√3 for adjacent. Thus:

[tex]\tan(30)=\frac{x}{x\sqrt3}[/tex]

Remove the x:

[tex]\tan(30)=\frac{1}{\sqrt3}[/tex]

Multiply both layers by √3. So:

[tex]\tan(30)=\frac{1}{\sqrt3}=\frac{\sqrt3}{3}[/tex]

Our answer is A :)

Answer:

(A) y - x

Step-by-step explanation:

Finding a:

Correct choice is (A)

Answer:

x=5

Step-by-step explanation:

3x+2=17

17-2=3x

15=3x

3*5=14

15=15

x=15

Answer:

84 MB

Step-by-step explanation:

60% of 140 MB is:

Boris has downloaded 84 MB in 2 minutes

Answer:

33

Step-by-step explanation:

Start off by subtracting how much she needs, with how much she has. 225 - 18.75 = 206.25. Then you divide by how much she makes an hour, 6.25. Dividing 206.25 by 6.25 will give you 33.

Answer:

33

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The remaining material can be calculated as

volume of larger cube - volume of smaller cube

= a³ - b³ ← difference of cubes which factors in general as

= (a - b)(a² + ab + b²) → D

Answer:

C. Point P

Step-by-step explanation:

sqrt(92) = 9.59

The point closest to 9.59 is point P.

Answer:

x

Step-by-step explanation:

If both the function and its inverse exist, then the composition of the function with its inverse is just 'x.'

The composition of any function, f(x), and its inverse f'(x) is x.

The composition of a function and its inverse are two mathematical concepts with practical applicability.

The objective of these two concepts is to increase the understanding of functions and all the terms related to them.

Inverse functions, as the name suggests, is to describe an inverse relationship between two functions.

The composition of function is defined when the result of a function is obtained by applying another function.

The independent variable is another function.

Hence, The composition of any function, f(x), and its inverse f'(x) is x.

To know more about the Inverse function click the link given below.

https://brainly.com/question/5245372

Answer:

XY=2

dividing both sides with y

X=2/y

(to find value of X, y should be transpose to the right or remove)

when X=o.5

y=2/0.5

y=4

so value of X is 0.5 when y=4

Answer:

Answer is 10^11 is the smallest power that would exceed 999,999,999,991

Answer:

10 to the power of 13 or 10^13

Answer:

_____________

The integer is 0

Answer:

B

Step-by-step explanation:

You are correct

It is not a function if there is no pattern to the numbers

Answer:

  RS = 16

Step-by-step explanation:

The segment addition theorem tells you ...

  QR +RS = QS

  4 + (5x-9) = 4x

  x = 5 . . . . . . . . . . . add 5-4x

Then the length of RS is ...

  RS = 5(5) -9

  RS = 16

Answer:

9 - b = ? 9 - 8 = 1 So, your answer is 1.

Step-by-step explanation:

Answer:

675 calories

Step-by-step explanation:

I don't know about you but for me it's easier to multiply with decimals. I turned 2 1/4 to 2.25 and because n is right next to 300 we multiply (2.25 x 300) to get 675.

Hope that helps, and have a great day!

Answer:

1.   The star's mass is 1.3 x 10^32 kg.

2.  The star's mass is 1.3 x 10^32 kg.

Step-by-step explanation:

1.

Divide numbers written in scientific notation by dividing the coefficients and then subtracting the exponents.

let The sun's mass is 2.0×10^30 kg.

and the coefficient = 1.5x10^-2

divide the coefficients

2.0 ÷ 1.5 =  1.3  

Then subtract the exponents.

= 10^30 - 10^-2

= 30 - (-2)

= 32

Combine the results of the two operations

= 1.3 and x 10^32

= 1.3 x 10^32

therefore,

The star's mass is 1.3 x 10^32 kg

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

2.

given:

The sun's mass is 2.0×10^30 kg.

mass of a star = sun's mass divided by 1.5×10^-2 kg

find:

Express the answer in Scientific notation.

mass of a star = 2.0×10^30 kg

                           1.5×10^-2 kg

mass of a star = 1.3 X 10^32 kg

therefore,

The star's mass is 1.3 x 10^32 kg

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

Answer:

1.   The star's mass is 1.3 x 10^32 kg.

2.  The star's mass is 1.3 x 10^32 kg.

Step-by-step explanation:

i got them right on my quiz

Answer:

25 mph

Step-by-step explanation:

Because you know mi/h means the miles PER hours, and we know that when we see the word "per" we're dealing with a rate. What we have to do here, is multiply 10(mph) is like the average, or limit. So if I'm running 2.5 miles I multiply 10 x 2.5 to get 25.

Or just move the decimal point one space because of the zero in 10.

Hope this helps, and have a great day!

If i run at an average speed of 10 mi/h, the time needed for me  to run 2.5 miles is, 0.25 hour

The distance covered by the object is equal to the product of the speed at which the object is moving and time taken for covering the distance.

Distance =  Time × Speed

Given that,

An average speed  = 10 mi/h,

If distance travelled = 2.5 miles

Time needed = ?

Time needed =  Distance/Speed

                       =  2.5 / 10

                       =  0.25

Hence, The time needed is 0.25 hour

To know more about time, distance & speed check:

brainly.com/question/10566304

#SPJ5

Answer:

Its A.

Step-by-step explanation:

hope this helps.

The expression which is represented by the graph will be -6 -(-1) so the correct option will be (A).

An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

A formula known as an equation uses the same sign to denote the equality of two expressions.

In given figure the, one box represents -1

Now there are total 6 box = -1 times 6 = -6

Now the last box is removed it means it should be subtracted from all the box

-6 - ( One box) = -6 -(-1) hence option A will be correct.

For more about the equation

brainly.com/question/10413253

#SPJ6

Answer:

b = 5/4  ( or  = 1.25)

Step-by-step explanation:

2b + (1/2) =3    (subtract 1/2 from each side

2b = 3 - (1/2)

2b = 2 1/2   (express 2 1/2 as an improper fraction = 5/2)

2b = 5/2     (divide both sdes by 2)

b = (5/2) / 2

b = 5/4

Answer:

A' would be at (0,-4)

B' would be at (-2,1)

C' would be at (-2,-3)

Step-by-step explanation:

A' would be at (0,-4)

B' would be at (-2,1)

C' would be at (-2,-3)

Answer:

C  4,3  A 2,-5   B 1,4

Step-by-step explanation:

Answer:

n+8

Step-by-step explanation:

8n=8(n)

n-8=n-8 (Since there is no commutative property in subtraction)

n=8 means 8=n

n+8=8+n

Because of commutative property in addition.

Hope this helps ;) ❤❤❤

[tex]2^{-3}[/tex] is the same as [tex]\frac{1}{2^3}[/tex] because of the rule [tex]x^{-k} = \frac{1}{x^k}[/tex]

The negative exponent says to take the reciprocal of the base to make the exponent positive. The original base is 2, of which the reciprocal is 1/2.

Answers:

Slope = 3/4

y intercept = -1/2

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

Explanation:

The form y = mx+b is known as slope intercept form

m is the slope and b is the y intercept

Comparing y = (3/4)x - 1/2 to y = mx+b, we see that

m = 3/4

b = -1/2

Answer:

Hey there!

If the midpoint is (-5, 18) and the endpoint is (3, 13) the other endpoint is (-13, 23)

Let me know if this helps :)

Given:

Consider the below figure attached with this question.

∠EFH = (5x + 1)°, ∠HFG = 62°, and ∠EFG = (18x + 11)°

To find:

The measure of ∠EFH.

Solution:

From the figure it is clear that ∠EFG is divide in two parts ∠EFH and ∠HFG. So,

[tex]\angle EFG=\angle EFH+\angle HFG[/tex]

[tex]18x+11=(5x+1)+(62)[/tex]

[tex]18x+11=5x+63[/tex]

Isolate variable terms.

[tex]18x-5x=63-11[/tex]

[tex]13x=52[/tex]

Divide both sides by 13.

[tex]x=\dfrac{52}{13}[/tex]

[tex]x=4[/tex]

The value of x is 4.

[tex]\angle EFH=(5x+1)^\circ[/tex]

[tex]\angle EFH=(5(4)+1)^\circ[/tex]

[tex]\angle EFH=(20+1)^\circ[/tex]

[tex]\angle EFH=21^\circ[/tex]

Therefore, the measure of ∠EFH is 21°.