What is the value of X? Enter your answer in the box.​

What Is The Value Of X? Enter Your Answer In The Box.

Answers

Answer 1

Answer:

x =4

Step-by-step explanation:

First we need to find the length of RT

Since the triangle on the left (RST) is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 60 = 2 sqrt(3) / RT

RT sin 60 = 2 sqrt(3)

RT = 2 sqrt(3) / sin 60

RT = 2 sqrt(3) / (sqrt(3)/2)

RT = 4

Now we can find x

Since the triangle on the right (QRT) is a right triangle, we can use trig functions

tan theta = opp /adj

tan 45 =  x/ RT

tan 45 = x / 4

4 tan 45 = x

4 (1) = x

4 =x


Related Questions

4 less than the product of 6 and the number

Answers

Answer:

6x - 4

Step-by-step explanation:

4 less than 6 times x

6x - 4

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

If p-1 is a factor of p^4+p^2+p-k,the value of k is ?

Answers

[tex]1^4+1^2+1-k=0\\3-k=0\\k=3[/tex]

Answer:

k=3

Step-by-step explanation:

Hello, if p-1 is a factor of

[tex]f(p)=p^4+p^2+p-k[/tex]

it means that f(1)=0, so

1+1+1-k=0

3-k=0

k=3

thank you

hello, can i please get some please on this one ASAP! i will mark as BRAINLIEST!!

Answers

Answer:

[tex](x+6)(x-6)[/tex]

Step-by-step explanation:

Hi there!

The difference of squares theorem states that [tex]a^2-b^2=(a+b)(a-b)[/tex].

We're given:

[tex]x^2-36[/tex]

This can be rewritten since 36 is a perfect square:

[tex]=x^2-6^2[/tex]

Use the difference of squares theorem:

[tex]=(x+6)(x-6)[/tex]

I hope this helps!

Answer:

(x-6)(x+6)

Step-by-step explanation:

x^2 -36

Rewriting

x^2 - 6^2

We know a^2 - b^2 = (a-b)(a+b)

(x-6)(x+6)

solve for x 16x - 5 = 18x -2

Answers

Answer:

x = -1.5

Step-by-step explanation:

16x - 5 = 18x -2

Subtract 16x from each side

16x-16x - 5 = 18x-16x -2

-5 = 2x-2

Add 2 to each side

-5+2 = 2x-2+2

-3 = 2x

Divide by 2

-3/2 = 2x/2

-3/2 =x

Answer:

-3/2

Step-by-step explanation:

To solve this problem, start by moving all of your x's on to one side, and all of your constants on to the other as such:

16x-5=18x-2

     +2       +2

16x-3=18x

-16x    -16x

-3=2x

-3/2 = x

P.S. please give me brainliest. Thank you! :)

Use the difference of squares identity to write this polynomial expression in factored form : 9x^2-49

Answers

Answer:

The expression in factored form is (3x - 7)(3x + 7)

Step-by-step explanation:

Here in this question, we are interested in using the difference of two squares to factor the given expression.

Mathematically, supposed we have two squares a^2 and b^2, and we are told to factorize a^2-b^2.

By using the difference of two squares;

a^2-b^2 can thus be written as;

(a-b)(a + b)

Now, we can apply same approach to the problem at hand.

9x^2 - 49

kindly note that 9x^2 can be written as ((3x)^2 and 49 can be written as 7^2

So applying what we have said earlier about difference of two squares;

9x^2 - 49 will be ;

(3x-7)(3x + 7)

Answer:

The answer is (3x - 7) (3x +7)

Step-by-step explanation:

What is the value of |6x| - |- 2y| if x = - 3 and y= 5?

Answers

Answer:

8

Step-by-step explanation:

|6x| - |- 2y|

Let x = -3 and y = 5

|6*-3| - |- 2*5|

|-18| - |-10|

Taking the absolute values

18 - 10

8

pleaseee answer this question quickly.. I will give brainliest MAKE SURE ITS RIGHT

Answers

Answer:

JKM is acute and MKL is obtuse

Step-by-step explanation:

because an acute triangle's interior angles are always 180° and an obtuse triangle's sum is greater than 90°


What is the value of m in the figure below? If necessary, round your answer to
the nearest tenth of a unit.

Answers

Answer:

Option D, 13.2

Step-by-step explanation:

m = √{7×(18+7)}

= √(7×25)

= 5√7

= 13.2 (rounded to the nearest tenth)

When solving (x + 35) = −7, what is the correct sequence of operations?

Answers

Answer:

x= -42

Step-by-step explanation:

put the liketerms together

x+35= -7

x=-35-7

note*the operation sign changes after crossing the equal sign

x= -42

Rita makes and sells necklaces. The materials to make each necklace cost $2.75. Last week she made 8 necklaces and wants to make a total profit of $78. Using the equation 8 (x + 2.75) = 78, Rita determined that she needs to sell each necklace for $7 to make a total profit of $78. Which error did Rita make?

Answers

Answer:

The error she made was that she was adding x and 2.75. She should subtract 2.75 from x.

Another mistake that she made was that she sold each for $7 assuming that she would make a profit of 78, but she should see each necklace for $12.5 so that she could make a profit of $78.

Step-by-step explanation:

The error she made was that she was adding x and 2.75.

She should write the equation as 8 (x - 2.75) = 78; as she spends $2.75 to make a necklace.

By using the correct equation: 8 (x - 2.75) = 78

=> 8x - 22 = 78

=> 8x = 78 + 22

=> 8x = 100

=> x = 100/8

=> x = 12.5

Another mistake that she made was that she sold each for $7 assuming that she would make a profit of 78, but she should see each necklace for $12.5 so that she could make a profit of $78.

Hope this helps you.

Answer:

C

Step-by-step explanation: Nice

The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of the chemical compounds produced from the plant was analyzed for a particular collagen. The collagen amount was found to be normally distributed with a mean of 61 and standard deviation of 9.8 grams per mililiter. a. What is the probability that the amount of collagen is greater than 60 grams per milliliter

Answers

Answer:

45.94%

Step-by-step explanation:

Probability-Above 45.94%

Z =0.1  

x= 61

µ 60

σ 9.8

Please Help! Three times the quantity of a number increased by 7 is equal to the same number decreased by 15

Answers

I guess it's x=-11
3x+7=x-15
3x-x=-15-7
2x=-22
X=-11

The equation is written as 3x + 7 = x - 15. And the solution of the equation will be negative 11.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Multiple times the amount of a number expanded by 7 is equivalent to a similar number diminished by 15.

Let the number be 'x'.

The three times the number plus 7. Then the expression is given as,

⇒ 3x + 7

The number 'x' is decreased by 15. Then the expression is given as,

⇒ x - 15

Both expressions are equal to each other. Then we have

3x + 7 = x - 15

3x - x = - 15 - 7

2x = - 22

x = - 11

The equation is written as 3x + 7 = x - 15. And the solution of the equation will be negative 11.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

helpppppppppppppppppppppppppppppppppppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

I think the answer is 77

Simplify the following expression -10x + 10x

Answers

Answer:

0

Step-by-step explanation:

the x after the 10 is literally just 1

so 10 x 1  =10

-10 + 10 = 0

Write and solve an equation to determine how many degrees the temperature T fell.
The temperature at 5 PM. is 20°F The temperature at 10 P.M. is -5°F
Equation?

Answers

Answer: First degree equation

Step-by-step explanation:

For each hour from 5pm , the temperature decreases 5F. So, let the variation of time t , the constant -5, and the final temperature, T:

T=5t-5 .: for 5pm , variation is 0,so T in F is -5.

Answer:

probably First degree equation

Step-by-step explanation:

Please help...25 points

Answers

Answer:

[tex]\huge\boxed{x = -\frac{5}{6}}[/tex]

Step-by-step explanation:

[tex]f(x) = -12x+7[/tex]

Given that f(x) = 17

[tex]17 = -12x+7[/tex]

Subtracting 7 to both sides

[tex]17-7 = -12x[/tex]

10 =  -12 x

Dividing both sides by 12

[tex]x = - \frac{10}{12}[/tex]

[tex]x = -\frac{5}{6}[/tex]

Answer:

-5/6 =x

Step-by-step explanation:

f(x) = -12x+7

We want to find x when f(x) = 17

17 = -12x+7

Subtract 7 from each side

17-7 = -12x +7-7

10 = -12x

Divide each side by 12

10/-12 = -12x/-12

-5/6 =x

3. Which word phrase can be used to represent the algebraic expression 4(21+ n)? (2 point) 4 plus the sumn of 21 and a number » O4 times the product of 21 and a number » ne the sum of 21 and a number x 4 less than the sum of 21 and a number : O4 timeſ the​

Answers

Answer:

4 times the sum of 21 and a number

Step-by-step explanation:

4(21+ n)

The four is being multiplied by the sum of 21 and n

Does anyone know how to find these measures. Pls it’s due in a few hrs

Answers

18 is 60+35=95 180-95= 85 so ?=85°

Answer:

17) 120°

18) 85°

Step-by-step explanation:

→ Find the sum of angles in each shape

Quadrilateral = 360°

Triangle = 180°

→ Add the angles together and subtract it from the sum

360 - ( 80 + 80 + 80 ) = 120° for number 17

180 - ( 35 + 60 ) = 85° for number 18

Find the measure of the missing angle. A

Answers

Answer:

a = 38

Step-by-step explanation:

The two angles add to 90 degrees

a+52 = 90

a = 90-52

a = 38

Answer:

Below

Step-by-step explanation:

The little box on the angle indicates that it is 90 degrees

All you need to do now to find angle a is to subtract 52 from 90...

90 - 52 = 38 degrees

Hope this helped!

Simplify $\frac{3}{2 \sqrt 3 - 3}.$[tex]Simplify $\frac{3}{2 \sqrt 3 - 3}.$[/tex]

Answers

Answer:

[tex]2\sqrt{3}+3[/tex]

Step-by-step explanation:

[tex]$\frac{3}{2 \sqrt 3 - 3}$[/tex]

Rationalize the fraction.

[tex]$\frac{3}{2 \sqrt 3 - 3}\cdot \frac{2 \sqrt 3 + 3}{2 \sqrt 3 + 3} =\frac{6\sqrt{3}+9 }{12-9} =\frac{6\sqrt{3}+9 }{3} =2\sqrt{3}+3 $[/tex]

Note that I used the positive signal because we would have a difference of squares.

An athlete throws her javelin 9.5 yards. She throws it this distance 2 times. How far she throw her javelin in total

Answers

Answer: 19 yards

Step-by-step explanation: 9.5x2=19

2x.tg60= 10+csc30 plis

Answers

Answer:

[tex]2\sqrt{3}[/tex]

Step-by-step explanation:

I'm assuming the angles are in degrees.

[tex]2x \tan(60\º)=10+\csc(30\º)[/tex]

[tex]$2x\cdot \sqrt{3}=10+\frac{1}{\sin(30\º)} $[/tex]

[tex]$2x\cdot \sqrt{3}=10+\frac{1}{\frac{1}{2} } $[/tex]

[tex]$2x\cdot \sqrt{3}=10+2} $[/tex]

[tex]$x=\frac{12}{2\sqrt{3}} $[/tex]

[tex]$x=\frac{6}{\sqrt{3}} =\frac{6\sqrt{3}} {3} }=2\sqrt{3} $[/tex]

One stool rocks slightly from side to side on your kitchen floor. Which of the two stools could this possibly be? Explain your answer Choices: 3 legged stool, 4 legged stool

Answers

Answer:

The four legged stool is the one that rocks slightly from side to side. The three legged stool does not.

Step-by-step explanation:

The four legged stool is the one that rocks slightly because the three legs determine a plane, and the three legs are stuck on that single plane.

what is the answer to 4.7 x 10^-8

Answers

Answer:

0.000000047

Step-by-step explanation:

A house was bought for $450 000 and 3 years later was valued at $540 000. Find: a. The new value as a percentage of the old value b. The increase in value over the three year period c. The increase in value as a percentage of the original value

Answers

Answer:

A) The percentage is given by (The new value)/(The old value)*100 = 120%

B) The increase in value is $90000

C) The increase as a percentage is (90000/450000)*100=20%

a. The new value is 120% of the old value.

b. The increase in value over the three-year period is $90 000.

c. The increase in value over the three-year period is 20% of the original value.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

a. To find the new value as a percentage of the old value, we can divide the new value by the old value and multiply by 100 to get a percentage:

New value as a percentage of old value = (New value / Old value) x 100%

= ($540 000 / $450 000) x 100%

= 120%

Therefore, the new value is 120% of the old value.

b. To find the increase in value over the three-year period, we can subtract the old value from the new value:

Increase in value = New value - Old value

= $540 000 - $450 000

= $90 000

Therefore, the increase in value over the three-year period is $90 000.

c. To find the increase in value as a percentage of the original value, we can divide the increase in value by the old value and multiply by 100 to get a percentage:

Increase in value as a percentage of original value = (Increase in value / Old value) x 100%

= ($90 000 / $450 000) x 100%

= 20%

Therefore, the increase in value over the three-year period is 20% of the original value.

Learn more about the percentages here:

brainly.com/question/24159063

#SPJ2

A power failure on the bridge of a Great Lakes freighter has resulted in the ship's navigator having to do her own calculations. She measures the angle between the ship's course and a lighthouse on shore as 32°. After the ship has travelled 1500 m, she measures the angle to be 72°. Determine if the ship was closer to or farther from the lighthouse at the second sighting, and by what distance. (4 marks)


It is impossible to measure the length of a particular swamp directly. Kendra put a stake in the ground and measured from the stake to opposite ends of the swamp, the results being 410 m and 805 m. She measured the angle between the distances to be 57°. What is the length of the swamp? (4 marks)

Answers

Answer:

1) The ship is closer

2) 675.73 m

Step-by-step explanation:

1) The given parameters are;

The initial angle between the ship's course and the lighthouse = 32°

The final angle between the ship's course and the lighthouse = 72°

The distance traveled by the sip between he two positions = 1500 m

Therefore we have a triangle formed between the distance covered by the ship and the two distances of the ship from the lighthouse, a and b

Where;

a = The initial distance fro the lighthouse

b = The final distance fro the lighthouse

The angles of the triangle are

32°, (180 - 72) = 108° and 180 - 32 - 108 = 40°

By sine rule we have;

1500/(sin(40)) = a/(sin(108)) = b/(sin(32)) =

Therefore, a = sin(108°) × 1500/(sin(40°)) = 2219.37 m

b = (sin(32°)) × 1500/(sin(40°)) = 1236.61 m

Therefore, a  > b

The initial distance fro the lighthouse > The final distance fro the lighthouse, which shows that the ship is closer

2) By cosine rule we have

a² = b² + c² - 2× b×c×cos(A)

Where the given measurements by Kendra are;

410 m and 805 m with an included (in between) angle of 57°, we have;

Let b = 410 m, c = 805 m, and A  = 57°, we have;

a² = 410^2 + 805^2 - 2× 410×805×cos(57 degrees) = 456608.77 m²

a = The length of the stream = 675.73 m.

Find the GFC of 20 and 16

Answers

The greatest common factor of 20 and 16 is 4.
The ANSWER for this question is ‘4’

Please help me I promise I will mark brainliest, I need an answer asap!!!!!!!! please hurry!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! f(x) = 3x + 9, g(x) = 5x^2 Find (f + g)(x). A). -5x^2 + 3x + 9 B). Quantity three x plus 9 divided by five x squared. C). 15x^3 + 45x D). 5x^2 + 3x + 9

Answers

Answer:

D

Step-by-step explanation:

(f+g)(x) = f(x) + g(x)

=3x + 9 + 5x²

=5x² + 3x + 9

PLS HELP!!
what is the value of x?
log2(x+7) = 2​

Answers

Answer:  Choice A)  -3

Work Shown:

[tex]\log_{2}(x+7) = 2\\\\x+7 = 2^2\\\\x+7 = 4\\\\x = 4-7\\\\x = -3\\\\[/tex]

Which leads us to choice A. In the second step, I used the rule that [tex]\log_b(y) = x[/tex] is equivalent to [tex]y = b^x[/tex]. For each equation, the b is the base. Note how logs undo exponents and vice versa.

Answer:

-3

Step-by-step explanation:

log2(x+7) = 2​

Raise each side by base 2

2^log2(x+7) = 2^2​

x+7 = 4

Subtract 7 from each side

x+7-7 = 4-7

x=-3

Solve.

-7(2z + 4) = 21

Answers

Answer:

-7/2

Step-by-step explanation:

cuz thats right

-14z - 28 = 21
-14z = 49
z = -7/2
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