In ΔVWX, the measure of ∠X=90°, the measure of ∠W=20°, and XV = 58 feet. Find the length of VW to the nearest tenth of a foot.

Answers

Answer 1

Answer:

169.6

Step-by-step explanation:

We can use trig to find the missing side (sin specifically).  sin(x)=opposite/hypotenuse.  where x is the angle.  VWX is 20 degrees.  The side opposite to that angle is VX or 58.  We dont know the hypotenuse.  If we were to substitute values into sin(x)=opposite/hypotenuse, we would get sin(20)=58/hypotenuse.  sin(20) in the calculator is 0.342020143...  so we can rewrite the equation as 0.342020143=58/hypotenuse.  Lets call the hypotenuse h.  If we multiply h on both sides, we can try to find what h is equal to.  0.342020143h=58.  Now we can divide 0.342020143 on both sides to isolate h.  h=169.58... or if we round it, we get 169.6


Related Questions

A number is randomly choose between one and 99. What is the probability that the number is not in multiple of nine

Answers

Answer:

8/9

Step-by-step explanation:

The probability that the number chosen is a multiple of 9 is 1/9, so the probability that it isn't a multiple of 9 is 1 - (1/9) = 8/9

Does anyone know this

Answers

Answer:

It is A

Step-by-step explanation:

The square route of 174 is 13.190906. Didn't use a calculator.

How many solutions are there to this system of equations?

A) One solution

B)No solution

C)Infinitely many solutions

D)It cannot be determined without solving it.

First-line - y = 1/4 (x - 4)
Second-line = y = 1/4x - 1

Answers

Answer:

one

Step-by-step explanation:

Drag each capacity to match it to an equivalent capacity.
8L
80 mL
0.08 L
800 mL
Capacity
Equivalent Capacity
0.08 L
8,000 mL
0.8 L
80 mL

Answers

1 L= 1,000 mL
8L= 8,000 mL
80 mL= 0.08 L
0.08 L= 80 m L
800 mL = 0.8 L

factorise : x^2y^2-16​

Answers

Answer:

(xy - 4)(xy + 4)

Step-by-step explanation:

x²y² - 16 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), thus

x²y² - 16

= (xy)² - 4²

= (xy - 4)(xy + 4)

i just need this question

Answers

please provide the data to the right

PLEASE HELP I NEED THIS image below

Answers

Answer:

64

Step-by-step explanation:

You need to do 4*4*4 to get your answer.

Hope this helps.

Answer:

64

Step-by-step explanation:

Because 4×4 is 16 and 16 ×4 is 64

Find two numbers, if their sum is 49 and their difference is 1/2 .
This question is for my little sister who needs help with her Math.
I'm too busy to help.

Answers

Answer: 49.5 and -0.5

Step-by-step explanation:

a  + b =49

a -  b = 0.5

a= 49.5

b= -0.5

The two numbers are approximately 24.25 and 24.75.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

Let's call the two numbers x and y.

According to the problem, we have two equations:

x + y = 49 (since their sum is 49)

x - y = 1/2 (since their difference is 1/2)

We can solve this system of equations using the method of substitution.

First, we can rearrange the second equation to solve for one of the variables in terms of the other:

x - y = 1/2

x = y + 1/2

Now we can substitute this expression for x into the first equation:

(y + 1/2) + y = 49

2y + 1/2 = 49

2y = 48.5

y = 24.25

Now we can use this value of y to solve for x:

x = y + 1/2 = 24.25 + 1/2 = 24.75

Therefore, the two numbers are approximately 24.25 and 24.75.

Learn more about algebra here:

https://brainly.com/question/24875240

#SPJ3

Find the area of a triangle whose sides are 12 cm 6 cm and 14 cm

Answers

Answer:

32

Step-by-step explanation:

add 12 + 6 + 14

Please solve for x. I need this answered.

Answers

2.5x - 3 + 2x = 1.75x - 1.25x + 13

4.5x - 3 = 0.50x + 13

4.0x = 16

x = 4

Answer: 4

2. We'll assume those xs are in the numerator

(3/7)x - 1/4 + (3/7)x = (9/7)x - (3/7)x + 3/4 - 1

(6/7)x - 1/4 = (6/7)x  - 1/4

0 = 0

That's always true.

Answer: Any x is a solution.

Answer:

2.5x - 3 + 2x = 1.75x - 1.25x + 13

4.5x - 3 = 0.50x + 13

4.0x = 16

x = 4

Answer: 4

2. We'll assume those xs are in the numerator

(3/7)x - 1/4 + (3/7)x = (9/7)x - (3/7)x + 3/4 - 1

(6/7)x - 1/4 = (6/7)x  - 1/4

0 = 0

That's always true.

bag of potatoes weighs 10 pounds what is the weight of the potatoes on ounce

Answers

Answer:

The potato is a root vegetable native to the Americas, a starchy tuber of the plant Solanum tuberosum, and the plant itself, a perennial in the family Solanaceae. Wild potato species, originating in modern day Peru, can be found throughout the Americas, from the United States to southern Chile.

Step-by-step explanation:

Answer:

160 ounces

Step-by-step explanation:

I need to know this right now :(

Answers

Answer:

40000

400

Step-by-step explanation:

40000 because 4000 * 10 = 40000

400 because 1 / 10 of 4000 = 400

Answer:

ok so 1/2 is your answer 1/4 divide = 1//2 !

Step-by-step explanation:

In the United States, birth weights of newborn babies are approximately normally distributed with a mean of ? = 3,500 g and a standard deviation of ? = 500 g. According to the empirical rule, 68% of all newborn babies in the United States weigh between and .

Answers

Answer:

3000 and 4000

95% of all newborn babies in the United States weigh between *2500g and 4500g*

99.7% of all newborn babies in the United States weigh between *2,000g and 5,000g*

Step-by-step explanation:

Using the Empirical Rule, it is found that 68% of all newborn babies in the United States weigh between 3,000g and 4,000g.

What is the Empirical Rule?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, the mean is of 3,500 g with a standard deviation of 500 g, hence:

3500 - 500 = 3,000 g.

3500 + 500 = 4,000 g.

Hence, 68% of all newborn babies in the United States weigh between 3,000g and 4,000g.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

The coordinates for a quadrilateral are (0, 0), (-1, 2), (1, 6) and (2, 4). Determine the type of quadrilateral.
Group of answer choices

Parallelogram

Square

Rhombus

Rectangle

Answers

Answer:D is a rectangle

Step-by-step explanation:

number 19 very much need the answer please

Answers

Answer:

D not possible.........

A square has a triangular hole in it. What is the area of the figure?
12 in
6 in.
4 in.
12 in
168 in 2
144 in 2
120 in 2
132 in 2

Answers

168 in 2 and then 132 in 2

What is the slope of the line through (1,-1)(1,−1)left parenthesis, 1, comma, minus, 1, right parenthesis and (5,-7)(5,−7)left parenthesis, 5, comma, minus, 7, right parenthesis?

Answers

Answer:

-3/2

Step-by-step explanation:

We can find the slope between two points using

m = (y2-y1)/(x2-x1)

  = (-7 - -1)/(5 - 1)

  (-7+1(/(5-1)

  -6/4

  -3/2

Answer:

4

Step-by-step explanation:

i did khan :)

Suppose the diameter of a circle is 6 units. What is its circumference?

Answers

If the diameter of a circle is 6 units, it's radius would be half that, that is 3 units.

Circumference = [tex]2\pi r[/tex] = 2 x 3.14 x 3 = 18.84 units

inverse of f(x)=50000(0.8)^x

Answers

Answer:

Step-by-step explanation:

A rectangular prism has the dimensions of 2in, 5in, and 7in. What is the volume of the prism?

Answers

Answer:

70 inches cubed.

Explanation:

w•l•h=v

Which shape is NOTa trapezoid

Answers

Answer:

The bottom left

Step-by-step explanation:

it has no pairs of parallel sides

Answer:

Step-by-step explanation:

Trapezoid should have a pair of parallel lines.

Bottom left figures does not have parallel lines. So it  is not a trapezoid.

Add or subtract by first changing the mixed numbers to improper fractions.

A: 3 1/3 + 5 3/4

Answers

Answer:

10/3 and 23/4

Step-by-step explanation:

Answer:

9 1/12

Step-by-step explanation:

3 1/3 + 5 3/4

Get a common denominator of 12

3   1/3*4/4 +  5  3/4 *3/3

3 4/12 + 5 9/12

8 13/12

8 + 12/12 + 1/12

8+1+1/12

9+1/12

9 1/12

Changing to improper fraction

3 1/3 = ( 3*3+1)/3 =10/3

5 3/4 = ( 4*5+3)/5 =23/4

Getting a common denominator

10/3 * 4/4 = 40/12

23/4 *3/3 =69/12

                   -------------

                   109/12

12 goes into 109  9 times

9*12 = 108  and that leaves 1 left over

9 1/12

Find the volume of each cylinder. Which cylinder has the greater volume? Use 3.14 for π and round your answers to the nearest hundredth. Two cylinders. The circumference of the base of cylinder A is 3 meters and the height of the cylinder is 5 meters. The circumference of the base of cylinder B is 5 meters and the height of the cylinder is 3 meters. Cylinder A has a volume of m3, and Cylinder B has a volume of m3. Cylinder has the greater volume.

Answers

Answer:

Cylinder A has a volume of [tex]3.58 m^3[/tex], Cylinder B has a volume of [tex]9.92 m^3.[/tex]Cylinder B has a greater volume.

Step-by-step explanation:

Cylinder A

Base Circumference=3 meters

[tex]2\pi r =3\\r=\frac{3}{2\pi}[/tex]

Height=5 meters.

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

[tex]=\pi (\frac{3}{2\pi})^2 X5\\=\frac{9X5}{4\pi}\\\\=\frac{9X5}{4*3.14}\\\\=3.58m^3[/tex]

Cylinder A

Base Circumference=5 meters

[tex]2\pi r =5\\r=\frac{5}{2\pi}[/tex]

Height=3 meters.

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

[tex]=\pi (\frac{5}{2\pi})^2 X5\\=\frac{25X5}{4\pi}\\\\=\frac{25X5}{4*3.14}\\\\=9.92m^3[/tex]

Cylinder A has a volume of [tex]3.58 m^3[/tex], and Cylinder B has a volume of [tex]9.92 m^3.[/tex]

Cylinder B has a greater volume.

4: From each corner of a square table a quarter of a circle is cut off. The sides of the square table are 5 cm. Each of the circular parts have a radius of 1 cm. Find the area of the shaded part of the square table in cm2.

Answers

The figures were not drawn to scale.

Answer: (25 – π)

A car wash charges two prices depending on the size of the vehicle. The table shows the number of cars and the number of SUVs washed in the past 3 hours. The total earnings for hours 1 and 2 are given. Each car costs the same price, and each SUV costs the same price. The system of equations can be used to represent the situation.

In the system of equations, x represents the, _____and y represents the_____.

If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are______.

The total cost of 1 car and 1 SUV is $_____.

The total earnings for hour 3 are $______.

Chart:
Hours | Number of Cars | Number of SUVs | Total Earnings of Hour ($) |
1 4 2 84
2 3 5 126
3 5 4 ?

4x + 2y = 84
3x + 5y = 126

Answers

Answer:

1. cost of each car

2. cost of each SUV

3. (12,18)

4. $30

5. $132

Step-by-step explanation:

In the system of equations,x represents the cost of each car and y represents the cost of each SUV

If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are (12,18)

The total cost of 1 car and 1 SUV is $30

The total earnings for hour 3 are $132

Find the area of the shaded regions:
The pink is the shaded region.

Answers

40π

You dont need paper hw since we're in quarantine

Answer:40

Step-by-step explanation:

one hundred fifty moviegoers were surveyed, 20% said they would recommend the movie they just saw. how many of the moviegoers said they recommend the movie?​

Answers

Answer:

30

Step-by-step explanation:

150/100 = 1.5

1.5 is 1% of 150

20% of moviegoers recommend the movie

1.5 times 20 = 30

Explain the Pythagorean theorem.

A. The Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs is greater than the square of its hypotenuse.
B. The Pythagorean theorem states that if the square of one side of a triangle is less
than the sum of the squares of the other two sides, then the triangle is a right triangle.
C. The Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs equals the square of its hypotenuse.
D. The Pythagorean theorem states that if the square of one side of a triangle is greater than the sum of the squares of the other two sides, then the triangle is a right triangle.

Answers

Answer:

I believe the answer is C

Step-by-step explanation:

Hope this helps you out!

Answer:

Step-by-step explanation:

c

Please help meeeee
What are the key aspects of the graph of f(x) = x^2-b^2
where b is a real number?

Answers

Answer:

the graph has opposite x intercepts of b and -b. the graph has y intercepts at –b². the graph of the function symmetrical about the y-axis.

Step-by-step explanation:

−3x+7y=5x+2yminus, 3, x, plus, 7, y, equals, 5, x, plus, 2, y Complete the missing value in the solution to the equation. (−5,(-5,(−5,left parenthesis, minus, 5, comma )))right parenthesis

Answers

Answer:

[tex](-5,-8).[/tex]

Step-by-step explanation:

Given the equation

[tex]-3x+7y=5x+2y[/tex]

We need to find the missing value of the coordinate; (-5, __)

First, we collect like terms

[tex]-3x-5x=2y-7y\\\\-8x=-5y[/tex]

When x=-5

[tex]-8*-5=-5y\\\\40=-5y[/tex]

Dividing both sides by -5

[tex]y=-8[/tex]

The missing value of the coordinate (-5,y) is -8.

Thus, the complete solution to the equation is [tex](-5,-8).[/tex]

Other Questions
The amount of matter in something is called: Volume mass explain the difference between the principles of overload and progression Which would be the most dangerous to swallow?A. thermoacidophilesB. halophilesC. Escherichia coliD. a bacteriophage Simplify (3 7)^2 Ramesh examined the pattern in the table. Powers of 7 Value 7 Superscript 4 2,401 7 Superscript 3 343 7 Superscript 2 49 7 Superscript 1 7 7 Superscript 0 1 7 Superscript negative 1 StartFraction 1 Over 7 EndFraction Ramesh says that based on the pattern 7 Superscript negative 5 = negative 16,807. Which statement explains whether Ramesh is correct? Ramesh is correct because 7 Superscript negative 5 is equivalent to Negative 7 times (negative 7) times (negative 7) times (negative 7) times (negative 7), which has the same value as Negative 16,807. Ramesh is correct because as the exponents decrease, the previous value is divided by 7, so 7 Superscript negative 5 = 1 divided by 7 divided by 7 divided by 7 divided by 7 divided by 7 = negative 16,807. Ramesh is not correct because 7 Superscript negative 5 is equivalent to StartFraction 1 Over 7 Superscript 5 EndFraction, which has the same value as StartFraction 1 Over 7 Superscript 4 EndFraction divided by 7 = StartFraction 1 Over 7 cubed EndFraction = StartFraction 1 Over 343 EndFraction. Ramesh is not correct because as the exponents decrease, the previous value is divided by 7, so 7 Superscript negative 5 = 1 divided by 7 divided by 7 divided by 7 divided by 7 divided by 7 = StartFraction 1 Over 16,807 EndFraction. NEED HELP NOW PLEASE I HAVE ONLY SEEN WRONG ANSWERS The term for a member of the House of Representatives is ______ years and he or she must be ______ years of age. a. 2; 26 b. 4; 25 c. 2; 21 d. 4; 35 Please select the best answer from the choices provided A B C D what is my name in Spanish Which of the following is not an example of a red flag that would keep you from downloading an attachment I need help guys . Anyone help me ? What is the length of the hypotenuse please answer both questions!! will mark brainly The distributive property can be applied to which expression to factor 12x3 9x2 + 4x 3? Would all of the reptiles in an area be considered a population? Explain. If strand 1 in a segment of a replicating DNA molecule has the bases A-T-C-C-G-A-G-G-T, the complementary DNA strand would contain the bases T-A-G-G-C-T-C-C-A T-U-G-G-C-T-C-C-G U-A-G-G-C-U-U-C-C A-T-G-G-C-T-C-C-A Please help worth 20 points!! Jos represents the linear function f(x) = 5x 7 with words.Multiply each element in the domain by negative 7 and add 5.Correct his error. What might some problems/challenges have been for the Allied Powers in waging a twofront, global war? how old was Thomas Jefferson when he died HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply. Qu clases de animales existen en este planeta?