Find the unknown length of the side labeled x.

Find The Unknown Length Of The Side Labeled X.

Answers

Answer 1

When we are given sides and an angle, and a right triangle (seemingly), the easiest method of solving is using trigonometry.

Remember: SOH-CAH-TOA

Looking from the given angle, we are given the opposite side and want to know the hypotenuse. Therefore, we should use the sin function.

sin(34) = 2 / x

(x)(sin(34)) = 2

x = 2 / sin(34)

x = 3.7801

x = 3.7801

---Feel free to round to whereever you need/is required by your assignment.

Hope this helps!


Related Questions

Write the fraction that represents 3 feet of rope divided into 8 equal parts.​

Answers

Answer: 3/8

Step-by-step explanation: Divide 3 ft by 8

a cylindrical tank has a volume of 100 gallons. a similar tank next to it has dimensions that are 2 times as large. what is the volume of the larger tank?

Answers

The volume of the cylindrical tank is the amount of space in it

The volume of the larger tank is 800 gallons

How to determine the volume of the larger tank?

The volume of the small tank is given as:

v = 100

The volume of a cylinder is:

v = πr²h

For the bigger tank, we have:

V = πR²H

The dimensions are twice the smaller tank. This gives

V = π(2r)² * (2h)

Expand

V = 8πr²h

Substitute v = πr²h in V = 8πr²h

V = 8v

Substitute v = 100 in V = 8v

V = 8 * 100

V = 800

Hence, the volume of the larger tank is 800 gallons

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lara draws some triangle models with the measurements she wants to use to construct them.

Answers

Answer:

Ok, but what is the question or data?

Find f (-8) and f (6) for the given function.
f (-x) = (x -1)

Answers

To find f(-8) and f(6), all that we need to do is plug in each of the numbers for x.

f(-8) = -8 - 1 = -9

f(-8) = -9

f(6) = 6 - 1 = 5

f(6) = 5

Hope this helps!

If f(-x) = x - 1, then f(x) = - x - 1. So

f(-8) = 8 - 1 = 7

and

f(6) = - 6 - 1 = -7

Morgan has completed the mathematical statements shown below. which statements are true regarding these formulas? select three options. a = pi times r squared and c = 2 times pi times r. a = pi times r times r and c = pi times r times 2. a = (pi times r) times r and c = (pi times ) times 2. the numerical values of the area and circumference are equal when r = 2. the numerical value of the area is less than the numerical value of the circumference when r less-than 2. the numerical value of the area is greater than the numerical value of the circumference when r less-than 2. the numerical value of the area is less than the numerical value of the circumference when r greater-than 2. the numerical value of the area is greater than the numerical value of the circumference when r greater-than 2.

Answers

The correct statenments are:

The numerical values of the area and circumference are equal when r = 2.The numerical value of the area is less than the numerical value of the circumference when r less-than 2.The numerical value of the area is less than the numerical value of the circumference when r greater-than 2.

Area of a circle and its circumference

The circumference of a circle is the sum of the external part of the circle.

The formula for calculating the area of a circle is expressed as:

A = πr²

The formula for calculating the circumference is given as:

C = 2πr

r is the radius of the circle

If radius is 2 units

A = π(2)² = 4π

C= 2π(2) = 4π

The numerical values of the area and circumference are equal when r = 2.

If radius is 1 units  < 2 units

A = π(1)² = π

C= 2π(1) = 2π

The numerical value of the area is less than the numerical value of the circumference when r less-than 2.

If radius is 3 units  > 2 units

A = π(3)² = 9π

C= 2π(3) = 6π

The numerical value of the area is less than the numerical value of the circumference when r greater-than 2.

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Answer:

ABD

Step-by-step explanation:

HELP!! PLEASE!!!!!
Solve the equation by taking square roots
2-8n^2=-198
The best answer gets Brainiest!!

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

n=5, -5

Answer:

[tex]n=\frac{3i\sqrt{22}-2}{-8}[/tex]

Step-by-step explanation:

[tex](2-8n)^2=-198[/tex]

[tex]\sqrt{(2-8n)^2} =\sqrt{-198}[/tex]

[tex]2-8n=i\sqrt{198}[/tex]

[tex]2-8n=3i\sqrt{22}[/tex]

[tex]-8n=3i\sqrt{22} -2[/tex]

[tex]n=\frac{3i\sqrt{22}-2}{-8}[/tex]

I hope this helps!

To win a basketball game, one team scored 102 points. They made a total of 45 two-pointers and three-pointers. How many of the baskets were worth 2 points, and how many were 3 pointers?

Answers

37 2 pointers and 8 three pointers

If a = -3, determine the value of 4a + 5+ 8a.
HELP PLEASE

Answers

Step-by-step explanation:

I4(-3)+5| +8(-3)

|-12+5| -24

7-24 = -17

2 mi = ? Yd
3 mi = ? Ft
2dt 3in = ? In

Answers

Answer:

2. 3520 yds

3. 15840 ft

8. 27 in

Step-by-step explanation:

2. There are 1760 yards in a mile. Since we're looking for the number of yards in 2 miles, we just have to multiply this number by 2.

2 · 1760 = 3520 yds

5. There are 5280 feet in a mile. Since we're looking for the number of feet in 3 miles, we just have to multiply this number by 3.

3 · 5280 = 15840 ft

8. There are 12 inches in a foot. This means that 2 feet equals 24 inches [2 · 12 = 24]. Since we have to find the number of inches in 2 feet and 3 inches, we just have to add 3 to 24. This equals 27 inches.

12, 46, 32, 18, 26, 41, 46
Mean :
Mode :
Median :
Range :

Answers

Answer:

Mean : 31.6
Mode : 46
Median : 32
Range: 34

Step-by-step explanation:

Answer: Mean 31.57 Mode 46 Median 32

Range34

Step-by-step explanation: Mean is average. Add all the numbers and divide by 7

Mode is highest occurring

Median is middle number

Range is highest- lowest 46 - 34

What trigonometric ratio is 6/10?

Answers

Answer:

tanC

Step-by-step explanation:

tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{6}{10}[/tex]

Which polynomial lists the powers in descending order?
A. 10x^2 + 8x^3 + x^8 - 3x^6

B. x^8 +3x^6 +8x^3 + 10x^2 - 2

C. x^8 + 10x^2 + *x^3 +3x^6 - 2

D. 3x^6 + 10x^2 + x^8 + 8x^3 - 2

Answers

Answer:

B

Step-by-step explanation:

it goes 8 6 3 2

none of the other ones go this order

Five students, adriana, ben, chandra, diana, and ernesto, would each like one of the four spots at the regional science fair. Their names are placed in a hat, and four names are chosen at random to decide who attends the fair. What is the theoretical probability that chandra will be chosen as one of the science fair participants?.

Answers

The theoretical probability that Chandra will be chosen as one of the science fair participants is 0.8 or 80%.

What is theoretical probability?

Theoretical probability of an event is the ratio of number of favourable outcome to the total expected number of outcome of that event.

Five students, Adriana, Ben, Chandra, Diana, and Ernesto, would each like one of the four spots at the regional science fair.

Their names are placed in a hat, and four names are chosen at random to decide who attends the fair.

The total number of names are 5.The total number of names chosen are 4.

The total number of ways 4 names can be taken out from 5 names is,

[tex]^5C_4[/tex].

Here one spot needs to be fixed for Chandra. Now the total number of outcome remain 4 and favourable outcome remain 3.

Thus, the number of ways 4 names can be taken out such that it contains the name Chandra is

[tex]^4C_3[/tex].

The theoretical probability that Chandra will be chosen as one of the science fair participants is,

[tex]P=\dfrac{^4C3}{^5C4}\\P=\dfrac{4}{5}\\P=0.8\\P=80\%[/tex]

Thus, the theoretical probability that Chandra will be chosen as one of the science fair participants is 0.8 or 80%.

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A rectangular garden measures 28 ft by 40 ft. Surrounding (and bordering) the garden is a path 4 ft wide. Find the area of this path

Answers

288 ft

first off you will want to find the area of the garden, which is 1120 ft squared, we’ll come back to this

Since the path is 4 ft wide and surrounding the garden, its area is 28+4 by 40+4, minus the area of the garden.

32*44 = 1408 - 1120 = 288 ft

you may or may not need to write it as feet squared

PLEASE ANSWER
I REALLY APPRECIATE IT
THANKS :)

Answers


C. Would be the correct answer it's exactly 15 units to create that right triangle.

Juana weighed a sample of 12 jumbo eggs. Here are their weights (in grams): \begin{aligned} &67, 67, 68, 69, 69, 70, \\ &71, 71, 71, 72, 72, 73 \end{aligned} ​ 67,67,68,69,69,70, 71,71,71,72,72,73 ​ The mean is \bar x =70 x ˉ =70x, with, \bar, on top, equals, 70 grams. Which of these formulas gives the standard deviation?

Answers

Step-by-step explanation:

khan academy

The formulas that give the standard deviation will be given below.

[tex]\sigma = \sqrt{\dfrac{(67 - 70) ^2 + (67 - 70) ^2 + ( 68 - 70) ^2 + ....+ (73 - 70) ^2}{12}}[/tex]

What is a standard deviation?

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.

[tex]\rm \sigma = \sqrt{\dfrac{\Sigma (x_i - \mu)^2}{n}}[/tex]

Juana weighed a sample of 12 jumbo eggs. Here are their weights (in grams): 67, 67, 68, 69, 69, 70, 71, 71, 71, 72, 72, 73

The mean is μ =70 grams.

Then the standard deviation is given as,

[tex]\sigma = \sqrt{\dfrac{(67 - 70) ^2 + (67 - 70) ^2 + ( 68 - 70) ^2 + ....+ (73 - 70) ^2}{12}}[/tex]

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A (1,3 ) and B (2,7)

help me

Answers

The answer of this question is √17 units

PLS HELP!.... a garden has more daisies than roses, and there is at least one rose. Let r represent the number of roses and let d represent the number of daisies. Let's compare the expressions 3r and r + d. Which statement is correct? Choose 1 answer:
A 3r>r + d
B 3r C 3r=r + d
D There is not enough information to tell.

Answers

Answer:

Step-by-step explanation:

since  d > r   , becasue more daises, than roses,  we know that the answer must also reflect this logic.

A is  3r > r+d ,   can't be true, b/c with one rose,  the amount of roses + daises would be 3, and then 3r = r+d    so A is wrong

B is 3r ??? we don't have an equation or inequality to solve.  

C  3r = r+d,   this could be true if r=1  and d=2  and would also be correct for all the requirements.   C seems true,  

D Also,  for the teacher that wrote this,  " compare expressions"  means there are zero equal signs ,   expressions are with out equal signs,   equations have them,  as does C  :/   This teacher doesn't know what they are talking about.  >:/  

Based on the equation, the correct answer is D. There is not enough information to tell.

How to explain the equation

The statement "a garden has more daisies than roses, and there is at least one rose" implies that the number of daisies (d) is greater than the number of roses (r), but it does not provide any specific values for r and d.

Without knowing the specific values of r and d, we cannot determine whether 3r is greater than, equal to, or less than r + d. Therefore, the correct answer is D, indicating that there is not enough information to determine the relationship between 3r and r + d.

Learn more about equations

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help ill give you brainlest

Answers

50


Explanation: I got it right on my test

A cone has a height of 14cm with a circumference of 26.39cm. What is the volume of the cone?

Answers

V=πr2h

3=π·26.392·14

3≈10210.22786
10210.23

find the distance between (0,6) and (0,8)

Answers

Answer:

2 units.

Step-by-step explanation:

8 - 6 = 2 units.

There is no need to use the distance formula as both points are on the y-axis. Its just a simple subtraction.

[tex] \huge \mathfrak \red{hey \: there}[/tex]

[tex]\mathfrak \orange{answer}[/tex]

[tex] \mathfrak \orange{ explanation}[/tex]

Here,

Given,

[tex] x_1[/tex] = 0 [tex] x_2[/tex] = 0

[tex] y_1[/tex] = 6 [tex] y_2[/tex] = 8

[tex] \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2} } // \sqrt{ {(0 - 0)}^{2} + {(8 - 6)}^{2} } //[tex] \sqrt{ {(0)}^{2} + {(2)}^{2} } // [tex] \sqrt{ {(0 + 4} [/tex]

I don’t know how to do this HELP

Answers

Answer:

Both

Step-by-step explanation:

5+3+4=

12

3+1+1=

5

1+1=

2

1=

1

The line plot shows this data for each number.

HELP ME PLS I"M VERY CONFUISED AND I REALLY NEED HELP!!!!

Chris takes a math test where each correct answer scores 3 points, but each incorrect answer takes away 3 points. If there are 10 questions on the test, and Chris misses all of them, which equation would be used to calculate Chris' test score?

3 × (-10)
-3 × 10
3 × 10

Answers

Answer:

-3 x 10

Step-by-step explanation:

Because there are 10 questions, all wrong taking away 3 points

I NEED AN ANSWER FAST
2. If x = -8, which inequality is true?

A. -3x - 2 = 24
B. 12 + 2x > 9
C. 4x -19 318
D. 17 + x>10​

Answers

The answer is D.
The equation would add up to 9, and 9 is less than 10

Answer:

[C] 4x - 19 < 318

Step-by-step explanation:

For [C] I think you meant: [C] 4x - 19 < 318

Since, x = -8

then we can plug it in to each answer choice to find the answer:

[A] -3x - 2 = 24

⇒ -3(-8) - 2 = 24

-3(-8) = 24

24 -2 = 22 not 24

False.

[B]  12 + 2x > 9

⇒  12 + 2(-8) > 9

 12 -16 > 9

-4 > 9

False.

[C] 4x -19 < 318

⇒ 4(-8) -19= 318

-51 < 318

True.

[D] 17 + x>10​

⇒ 17 + (-8) >10​

-25 > 10

False.

Hence, the answer is [C] 4x - 19 < 318

Kavinsky

Use completing the square to solve for x in the equation (x-12)(x+4)= 9.

Answers

Answer:

x=4+√73 or x=4−√73

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x^2−8x−48=9

Step 2: Add 48 to both sides.

x^2−8x−48+48=9+48

x^2−8x=57

Step 3: The coefficient of -8x is -8. Let b=-8. Then we need to add (b/2)^2=16 to both sides to complete the square.

Add 16 to both sides.

x^2−8x+16=57+16

x^2−8x+16=73

Step 4: Factor left side.

(x−4)^2=73

Step 5: Take the square root.

x−4=±√73

Step 6: Add 4 to both sides.

x−4+4=4±√73

x=4±√73

x=4+√73 or x=4−√73

Answer:

x=4+√73 or x=4−√73

If this answer helped you, I would greatly appreciate it if you gave me brainliest :D.

Quadrilateral LMNO can BEST be described as
a) square
b) rectangle
c) rhombus
d) parallelogram
E) quadrilateral​

Answers

Answer:

E) quadrilateral

Step-by-step explanation:

Quadrilateral LMNO has 4 sides, but only two seem to parallel each other and that is why it is only a quadrilateral.

Requirements for each shape:

Square = 4 equal sides, 2 pairs of parallel ones, all right angles

Rectangle = 2 sets of equal and parallel sides, all right angles

Rhombus = 4 equal sides, 2 pairs of parallel ones

Parallelogram = 2 pairs of parallel sides

Quadrilateral = 4 sided polygon with 4 corners

Hope this helps!

Jonas needs to find the missing height of a box that has a length of 6 in, a width of 3 in, and a volume of 36 in3. Jonas needs your help in finding the missing height. What should he do?
pls help

Answers

So, the equation would be 6*3x=36
First, divide by 6 on both sides!
Then you get 3x=6
Divide by 3 to isolate x, and you get x=2
X represents the missing side, so the missing side equals two!

To check your answer, plug 2 back in for x! 6*3*2=36
6*6=36
36=36
So that means your answer is right!
I hope this helps!

Please tell me what the answer is

Answers

Question:

Please tell me what the answer is

Answer:

The people with the membership take seven classes

The people without the membership take five classes

Step-by-step explanation:

As it says in the picture:

"A local gym has two different fees for their yoga classes. Members of the gym are charged a one-time membership fee of $25 and pay $5 per yoga class. Nonmembers do not pay a membership fee, but they pay $7 per class. How many yoga classes do nonmembers and members have to attend for their cost to be the same?"

First, what you would do is look for your key words in the sentence. What you'd take from the sentence is everything that I highlighted.

If the membership fee is $25 and yoga classes are $5 and nonmembers cost for yoga classes is $7 then you have your problem right there.

Next, what you would look for is your Greatest common divisor. (GCD) The GCD of 5 and 7 is 5 of course. So now what you would do is find out how many times 5 and 7 goes into five.

7 x 5 = 35

5 x 5 = 25

Now what you do is ask yourself the question, "How many times does the nonmembers and members have to go to class to have the same amount of money spent?"

Now I will answer this question for you.

five dollars for members.

seven dollars for nonmembers.

Your answer is: 7 x 5 (30)

you are taking a trip at the same time as another family. your family traveled 1.900 miles in 2 days, their family traveled 2.700 miles in 3 days. who is traveling faster

Answers

Answer:

1.900 miles / 2 = 950 miles per day.

2700 miles / 3 = 900 miles per day.

Therefore, the other family travelled faster.

Can someone please help me? :(

Answers

Answer:

____________________________________

[tex] \large{ \tt{ \star \: S \: O \: L \: U \: T \: I \: O \: N : }}[/tex]

[tex] \large{ \boxed{ \tt{♡ \: VOLUME \: = l \: \times b \: \times h}}}[/tex]

[tex] \longrightarrow \: 4 \frac{1}{3} \times 3 \frac{1}{3} \times 4[/tex]

[tex] \longrightarrow \: \frac{13}{3} \times \frac{10}{3} \times 4[/tex]

[tex] \longrightarrow \: \frac{540}{9} [/tex]

[tex] \longrightarrow \tt \: 57 \frac{7}{9} \: ft ^{3} [/tex]

Our final answer is 57 7 / 9 ft^3 .

- HappY LearninG ^_________^

Answer: 57 7/9 is the answer

Step-by-step explanation: 4 times 4 1/3 times 3 1/3 is 57 7/9

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