Find x.
Round to the nearest tenth:
31°
у
X
400 ft
x = [ ? ]ft

Find X.Round To The Nearest Tenth:31X400 Ftx = [ ? ]ft

Answers

Answer 1

Answer:

x = 466.7 fty = 240.3 ft

First find the inner angle:

90° - 31°59°

using sine rule:

[tex]\sf sin(x)= \dfrac{opposite}{hypotensue}[/tex]

[tex]\hookrightarrow \sf sin(59)= \dfrac{400}{x}[/tex]

[tex]\hookrightarrow \sf x = \dfrac{400}{sin(59)}[/tex]

[tex]\hookrightarrow \sf x = 466.6533[/tex]

[tex]\hookrightarrow \sf x = 466.7[/tex]   ( rounded to nearest tenth )

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

using tan rule:

[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

[tex]\hookrightarrow \sf tan(59)= \dfrac{400}{y}[/tex]

[tex]\hookrightarrow \sf y= \dfrac{400}{ tan(59)}[/tex]

[tex]\hookrightarrow \sf y= 240.344[/tex]

[tex]\hookrightarrow \sf y= 240.3[/tex]

Answer 2

Answer:

y = 466.7 ft (nearest tenth)

Step-by-step explanation:

Using the Alternate Interior Angle Theorem
the angle inside the triangle that is opposite the side [tex]y[/tex] is 31°

Using the cos trig ratio:

[tex]\sf cos(\theta)=\dfrac{A}{H}[/tex]

where:

[tex]\theta[/tex] is the angleA is the side adjacent the angleH is the hypotenuse

Given:

[tex]\theta[/tex] = 31°A = 400 ftH = [tex]x[/tex]

Substitute given values and solve for x:

[tex]\sf \implies cos(31)=\dfrac{400}{x}[/tex]

[tex]\sf \implies x=\dfrac{400}{cos(31)}[/tex]

[tex]\sf \implies x=466.7\:ft\:(nearest\:tenth)[/tex]


Related Questions

Which expression is NOT equivalent to 100 + 20?
O10(10 + 2)
2(50 + 10)
Submit Answer
04(96 + 5)
5(20 + 4)

Answers

All except 2(50+10)

Because 50+10=60 • 2 =120

And 100+20=120

- Calculate the profit or loss
- Find the percentage profit or loss correct to 2 decimal places

A car purchased for $28899 was sold for $17580

Answers

Answer:

loss=B.price-S.price

$28899-$17580=$11319

Percentage profit=profit/B.price*100%

$11319/28899*100=$385.20

Step-by-step explanation:

Is the function even, odd or neither? How do you know?
() = −2^3 - x

Answers

Answer:

algebraically" whether a function is even or odd. To do this, you take the function and plug −x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (−x) = f (x), so all of the signs are the same), then the function is even

Step-by-step explanation:

Even functions are symmetrical about the y-axis: f(x)=f(-x). Odd functions are symmetrical about the x- and y-axis: f(x)=-f(-x)

Solve for X. Its geometry, will mark branliest

Answers

Answer:

x=4

Step-by-step explanation:

right triangle calculator works well

Use the formula for radian measure to calculate the measure of a central angle in a circle having a radius of 12 cm and intercepting an arc of 21 cm. theta = startfraction s over r endfraction the angle has a measure of radians.

Answers

The central angle has a measure of radians calculated by the formula for radian measure is 1.75 radians.

What is the formula for radian measure?

The formula for radian measure to calculate the central angle is given as,

[tex]\theta=\dfrac{s}{r}[/tex]

Here, (r) is the radius of the circle and (θ) is the central angle.

In a circle having a radius of 12 cm and intercepting an arc of 21 cm. Put the value of radius and the length of the arc in the above formula as,

[tex]\theta=\dfrac{21}{12}\\\theta=1.75[/tex]

Thus, the central angle has a measure of radians calculated by the formula for radian measure is 1.75 radians.

Learn more about the radian measure formula here;

https://brainly.com/question/12939121

Answer:1.75 radians

Step-by-step explanation: edge

The sum of a number and its square is 42. Which equation can be used to find the two numbers for which this is
true?
O x2 + x = 42
O x2 + 2x = 42
O x2 + x + 42 = 0
O x2 + 2x + 42 = 0
ark this and return

Answers

Answer:

x² + x = 42

Step-by-step explanation:

let x = a number

then x² is the square of the number

x² + x is the sum of the square of the number and the number.

x² + x = 42

What is the answer to this?

Answers

Answer:

4 mm

Step-by-step explanation: The height is the same length of the length

Have a good day!

The volume of a rectangular prism is given by V = l×w×h

48 = 3×4×n

48 = 12n

n = 4

Answer:

n = 4

Step-by-step explanation:

The volume of a rectangular prism is given by

V = l×w×h

Subbing in known variables and solving

48 = 3×4×n

48 = 12n

n = 4

"All rational functions have asymptotes and points of discontinuity." Katlyn wants to put this statement in her math book. Is this statement true? Explain, for her benefit, using 2 examples

Answers

Answer:

Not true.

Step-by-step explanation:

A  rational function is like P(x) / Q(x) where P and Q are polynomials.

Examples would be x^2 / (x^2 - 2)  and  x^2 / (x^2 + 2).

Now the first one will have a vertical asymptote at x = √2 because this value would make the denominator zero.

The second one will have no asymptotes because the only value that would make x^2 + 2 = zero is not real (it would be √2i). So the domain of this  is all real numbers ,  and  no asymptotes.

Two numbers have a product of -36
They have a sum of -5
What are the two numbers?

Answers

Answer:

-9,4

Step-by-step explanation:

Find the area of the shaded region

Answers

Answer:

Step-by-step explanation:

Remark

The easiest way is to find the area of the trianlge and subtract the area of the circle.

Area of the triangle

Area of the triangle = 1/2 b * h

b = 40 km

h = 27 km

The height is a little tricky. Since the angle at the base is greater than 90, you have to extend the base. Drop a line from the peak to the base making a right angle with the base. This has been done for you: the height is 27 km

Area of the triangle = 1/2 * 40 * 27

Area of the triangle = 540

Area of the circle

Area of the circle = pi r^2

r = d/2

r = 12/2

r = 6

Area of the circle = pi * 6*6

Area of the circle = 3.14 * 36

area of the circle = 113.04

Area of the shaded region

Area of the shaded region = area of triangle - area of the circle

Area of the triangle = 540

Area of the circle = 113.04

Area of the shaded region = 540 - 113.04

Area of the shaded region = 426.96

A line has a slope of -3 and passes
through the point (8,-12).

Answers

There aren't enough parts for this to be classified as a question.

Look at the map showing the Austria-Hungarian Empire in about 1900.

Map of ethnic groups in Austria-Hungary in 1867. Prussia, the Russian Empire, Kingdom of Italy, Serbia and Romania are shown along with these ethnic groups: Germans, Poles, Slovenes, Hungarians, Romanians, Italians, Czechs and Slovaks, Croats and Serbs.

What information does the map provide about the Austria-Hungarian Empire?

Answers

Answer:

Austria-Hungary was home to many different ethnic groups.

Step-by-step explanation:

hope it helps ;))

What do a and b represent in the general term(tn)=an+b of sequence?​

Answers

The sequence Tn = an + b is an arithmetic sequence.

b represents the first term, and a represents the common difference

How to interpret variables a and b?

The general term is given as:

Tn = an + b

The above term is an arithmetic sequence.

An arithmetic sequence is represented as:

Tn = T1 + (n - 1)d

Where T1 represents the first term, and d represents the common difference

By comparing Tn = an + b and Tn = T1 + (n - 1)d, we have:

b = T1

a = d

This means that b represents the first term, and a represents the common difference

Read more about sequence at:

https://brainly.com/question/7882626

Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

b) cylinder volume = π r^2 h = π*4*3= 12π = 37.68in^3

d) cone volume = .33π r^2 h = .33*π*225*50= 3750π cm^3

f) cuboid volume = l*b*h = 44*19= 836 in^3

e) hemisphere volume = 2/3 π*r^3 = 883.57ft^3

help me with this question also​

Answers

[tex]\text{Given that,}\\\\[/tex]

[tex]~~~~~~~\cos \theta = \dfrac 89\\\\\\\implies 2\cos^2 \left(\dfrac{\theta}2 \right) -1 = \dfrac 89~~~~~~;\left[1+ \cos 2\theta = 2\cos^2 \theta \right]\\\\\\\implies 2 \cos^2 \left(\dfrac{\theta}2 \right)= \dfrac 89 +1\\\\\\\implies 2 \cos^2 \left(\dfrac{\theta}2 \right)=\dfrac{17}9\\\\\\\implies \cos^2 \left(\dfrac{\theta}2 \right) = \dfrac{17}{18}\\\\\\\implies \cos \left(\dfrac{\theta}2 \right)=\sqrt{\dfrac{17}{18}}~~~~~~~~~~~;\left[\text{Positive value of} ~\cos \left(\dfrac{\theta}2\right) \right][/tex]

[tex]\implies \cos \left(\dfrac{\theta} 2 \right) =\dfrac{\sqrt{17}}{\sqrt{9 \times 2}}\\\\\\\implies \cos \left(\dfrac{\theta} 2 \right)=\dfrac{\sqrt{17}}{3\sqrt 2}\\\\\\\implies \cos \left(\dfrac{\theta} 2 \right)=\dfrac{\sqrt{17} \cdot \sqrt 2}{3\cdot 2}\\\\\\\implies \cos \left(\dfrac{\theta} 2 \right)=\dfrac{\sqrt{34}}{6 }[/tex]

Jack had m math problems to complete during his vacation. He solved the same
number of problems every day and finished them all in 5 days.
Suppose Jack was solving 15 problems per day. Use this information and the answer
to part (a) to build an equation.

Answers

Answer:

M/5 =15

Step-by-step explanation:

The answer to part a was m/5. m/5 is the amount of questions Jack does per day. If 15 is supposedly the number of question he does per day, then m/5 and 15 are equal. Making m/5=15. Good luck fellow RSM student.

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

We need to use the sine of 17 degrees to find x. Our proportion is sin(17 degrees)=x/9.3. Multiply both sides by 9.3 and we get 9.3sin(17)=x. Using a calculator, we get about 2.7.

Find the slope of the line containing the points (-2, -3) and (-4, 1).

Answers

Answer:

- 2

Step-by-step explanation:

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

              = ( -3 -1)/(-2- -4) =

                       -4 / ( 2) = - 2

(-2,-3)(-4,1)

Sloep:-

m=1-(-3)/-4-(-2)m=1+3/-4+2m=4/-2m=-2

There are 30 students in Ava’s class. Nine of them belong to the Pep Club. What fraction of the class are Pep Club members?

Answers

Answer:

total no. of students=30

pep club students =9

:=9/30 divide by 3

;=3/10

(If A(2, -3), B(3,-2) and point C divides the line segment AB in the ratio of 1: 2, find OC.)​

Answers

Answer:

A(2, -3) and B(3, -2), o(0, 0) Let C(x, y)

Here c divide AB line in the ratio of 1:2

From the line intersection law, we get x=(m1×x2+m2×x1)/(m1+m2)

and y=(m1×y2+m2×y1)/(m1+m2)

where m1=1, m2=2, x1=2, x2=3, y1=-3, y2=-2;

so x=(3+4)/3

  or, x=7/3;

y=(-2-6)/3

 or, y=-8/3;

so, oc=√((0-7/3)²+(0-(-8/3))²)

oc=3.54

DIRECTIONS: Type your answer in the space provided. The slope must be in fraction form.
What is the equation of the line parallel to the given line through the point (14,0)?

-4x - 7y = 14

Answers

DIRECTIONS: Type your answer in the space provided. The slope must be in fraction form.
What is the equation of the line parallel to the given line through the point (14,0)?

-4x - 7y = 14

The following box plot shows the class scores on a particular math test:
10
20
30
70
80
90
100
40 50 60
Percent
Which of the following data sets is represented in the box plot?
{40, 50, 50, 77, 77, 100)
{0.50, 60, 75, 85, 100)
{50, 60, 60, 75, 75, 85, 85, 100)
[60, 65, 70, 75, 85, 85, 85)

Answers

Answer:

maybe the third one and i would also like to see the box plot

Step-by-step explanation:

The lateral area of a cone is 19.2π in2. The radius is 2.4 in. Find the slant height.

Answers

The slant height of a cone with lateral surface are of 19.2π inches squared and radius of 2.4 inches is 8 inches.

Lateral surface area of a cone

The formula for the lateral surface area of a cone is described as follows:

Lateral area = πrl

where

r = base radiusl = slant height

Therefore,

Lateral area = 19.2π inches²

r = 2.4 inches

Lateral area = π × 2.4 × l

19.2π = 2.4πl

divide both sides by 2.4π

l = 19.2π / 2.4π

l = 8 inches

learn more on cone here: https://brainly.com/question/27170515

What is the answer I need help please

Answers

The answer is 107 hope this helps

Answer:

i belive the answer is 73

Step-by-step explanation:

45+62=107

180-107=73

Please helpppppppppp

Answers

Answer:

96 pizza slices

Step-by-step explanation:

Make a chart if 1 slice = 1.25, 20 pizza slices will cost 25.00, 50 will cost 62.50. An easy way you coud do it would be divided 120 by 1.25. When yu divided it it will give you 96. So, 96 slices will cost 120.00.

What does 2k^4 * 10k^-7 equal?

Answers

Answer:

0.0000016k

Step-by-step explanation:

1. Solve

2k^4x10k^-7

16k*0.0000001k

0.0000016k

Find the lateral surface area of the triangular prism. refer to your staar 8th grade math reference sheet for the appropriate formula. question 8 options: 90 in2 110 in2 120 in2 130 in2

Answers

The lateral surface area of the triangular prism is 130 in sq. So, option D is the correct answer.

What is the lateral surface area of the triangular prism?

The lateral surface area of the triangular prism is the product of the perimeter of the base and length.

L = perimeter of the base × length.

The side of the base is given as 7in, 3in, and 3in

and the length is 10in

The lateral surface area of the triangular prism = perimeter of the base × length.

L = (7in + 3in + 3in) 10

L = 13 × 10

L = 130 in sq.

Hence, The lateral surface area of the triangular prism is 130 in sq. So, option D is the correct answer.

Learn more about prism;

https://brainly.com/question/1601740

Answer:

130 ig

Step-by-step explanation:

Which expression is equivalent to 8 (a minus 6)?
8 a minus 48
2a
8 a minus 6
48a

Answers

Answer:

8 a minus 48

Step-by-step explanation:

you need to distribute!!

so you distribute the 8 to both the a and 6

8 times a equals 8 a

8 times 6 equals 48

and so that’s how you get 8 a minus 48 c:

Answer:

8 a minus 48

Step-by-step explanation:

[tex]\frac{2x^{2} -50}{x^{2} +7x+10}[/tex]

Answers

Step-by-step explanation:

[tex] \frac{2 {x}^{2} - 50}{ {x}^{2} + 7x + 10 } [/tex]

[tex] \frac{2( {x}^{2} - 25) }{(x + 5)(x + 2} [/tex]

[tex] \frac{2(x + 5)(x - 5)}{(x + 5)(x + 2)} [/tex]

[tex] \frac{2(x - 5)}{x + 2} [/tex]

can someone help with this please I would really appreciate it.

Answers

Answer:

The answer is 8 ft ^3

Step-by-step explanation:

1. 4 (base ) x 4 (width) x 2 (height)
2. Get the answer of 32.
3. Do 32 x 1/4 because each square is 1/4 ft.
4. Get the answer of 8

Hope this helps! :)

Other Questions
Lets say that in these congruent triangles, the length of side AB in the first triangle is 6 feet. What is the length of side DE in the second triangle? The sign on a bridge says that its weight capacity is 2.5 tons. A large truck weighs 6,240 pounds. How many pounds can the bridge hold?HELP ME ON THIS GUYS PLSSS Opie use thick black lines around each shape, what are those outlines called in Photoshop?A. LinearB. StrokeC. OutlineD. Line Financial Planning: Purchasing a House Part One: 1. Download the app Zillow 2. Make an account 3. Make a list of required features 4. Find a house that serves your current and future needs Part Two: 1. Decide how much money you have for the down payment 2. Calculate how much you need to finance 3. Calculate your monthly payment to mortgage 4. Calculate how long you will be paying off and make a plan Part Three: 1. Repeat parts one and two more times for a total of 3 potential houses 2. Put them into a graphic organizer and decide which one works best for you. Pearl drives 4 miles to work each day. How many yards and feet does she drive to work each day? I need help on these science thingies Who is sentenced to death in Act I? aDuncan bMacbeth cThe Thane of Fife dThe Thane of Cawdor Describe the difference between the value of x in a binomial distribution and in a geometric distribution. In 1990 an egg cost 2c less than in 1991. In 1992 an egg cost 4c more than in 1991. The cost of 11 eggs in 1990 was the same as the cost of 8 eggs in 1992. Find the cost of an egg in 1991. Select the correct answer from each drop-down menu. blackshirts were the fascist military wing under the leadership of , while the bolsheviks were a communist group led by . A tank that holds 120 gallons is leaking at a rate ofgallon per hour. Wrian expression that represents the amount of gallons left in the tank after hnumber of hours. Kia's plant is 8 1/5 inches tall and is growing 2/3 inch each week. Lyric's plant is 10 7/10 inches tall and is growing 1/6 inch each week. Write and solve an equation to find how many weeks it will take for the height of the two plants to be the same.Equation:Solution: Listen to "El Manisero" by the Havana Casino Orchestra under the leadership of Justo "Don" Azpiazu. On what instrument is the song's distinctive repeated syncopated pattern of five strokes over a regular eight-beat pulse played? 1. What were the key features of Nix-on's politics and domestic policies? 6. Sam scored 12 points on a math quiz, and he scored 3 points fewer than Alicia. Write anequation for this situation, and find Alicia's score. A boy swings a 30 g fishing sinker around his head attached to his fishing line. The radius ofthe circular motion of the sinker is 65 cm. The sinker does 2 revolutions per second. (a) What is the period of rotation of the sinker?(b) What is the tangential velocity of the sinker?(c) Calculate the acceleration of the sinker. A bakery sells white loaves and brown loaves.One week, the ratio of the number of white loaves sold to the number of brown loavessold was 4:5The bakery sold a total of 1584 loaves that week.Work out how many brown loaves they sold. Please help!Find the lateral area and surface area of the given prism. Round your answer to the nearest whole number. I am a polygon that has two pairs of opposite sides that are parallel what am I Why Don't Birds Get Electrocuted When They Land on Electric Wires?