Find the length DE. Round your answer to the nearest tenth of a meter

Find The Length DE. Round Your Answer To The Nearest Tenth Of A Meter

Answers

Answer 1

Answer:

13.8

Step-by-step explanation:

We can use trigonometry to find the length of DE

Remember these are the trigonometric ratios

Sin = Opposite over Hypotenuse

Cos = Adjacent over Hypotenuse

Tan = Opposite over Adjacent

For ∠FDE we are given its opposite side length ( FE ) and need to find its adjacent angle ( DE )

When working with opposite and adjacent we use the trig ratio tangent

That being said we want to create an equation to solve for (DE) ( Recall that tan = opposite over adjacent. ) ( let DE = x )

so [tex]tan(51)=\frac{17}{x}[/tex]

now we solve for x

Step 1 multiply each side by x

tan(51) * x = x tan (51)

[tex]\frac{17}{x} *x=17[/tex]

now we have x tan (51) = 17

step 2 divide each side by tan (51)

[tex]\frac{xtan(51)}{tan(51)}=x\\\frac{17}{tan(51)}[/tex]

we now have

[tex]x =\frac{17}{tan(51)} \\[/tex]

[tex]tan(51)=1.234897157\\\frac{17}{1.234897157} =13.76632856[/tex]

we're left with x = 13.76632856

Finally we round to the nearest tenth and get that the answer 13.8


Related Questions

A circle has a radius of four arc in the circle has a central angle of 280° what is the length of the arc

Answers

Answer:

20.096 units

Step-by-step explanation:

Given that,

The radius of circle, r = 4

The measure of central angle = 288°

We need to find the arc length. The formula to find the arc length is given by :

[tex]l=\dfrac{\theta}{360}\times 2\pi r\\\\l=\dfrac{288}{360}\times 2\times 3.14\times 4\\\\l=20.096\ m[/tex]

So, the arc length is equal to 20.096 units.

May someone possibly help me please

Answers

Answer:

24____________________

How do you find the area of shapes like this?

Answers

Answer:

You can make it to a rectangle and a square

Step-by-step explanation:

Answer:

you split it into 2 different parts, then add the area.

the answer to this question is 18in squared

Express 0.74 as a percentage ​

Answers

Answer:

74%

Step-by-step explanation:

0.74 × 100 = 74%

Answer:

74% (answer).

Step-by-step explanation:

To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 0.74 × 100 =74%

I need help plssssss

Answers

Answer:

Yes

Step-by-step explanation:

2 sides are equal as well as one angle being equal, so we know that the other angles must be equal, along with the other side.

Javeigh lives in Chicago and takes a plane to Los Angeles. When Javeigh left the house it was -12°. When the plane landed in Los Angeles, Javeigh realized it was 30° hotter! What was the temperature when Javeigh landed in Los Angeles?

Answers

answer: -12+30=18 the temperature was 18 degrees when javeigh landed in los angeles

Which is a finite geometric sequence?
a. {300, 30, 0.3, 0.003, …}
b. {5, -15, 45, -135, 405}
c. {5, 10, 15, 20, …}
d. {27, 32, 37, 42, 47}

Answers

Answer: {5, -15, 45, -135, 405}

Step-by-step explanation: In a finite sequence, there's a number of limited terms. And those terms have a common ratio, in this case, the common ration is -3. Notice how 5*-3 is -15, and -15*-3 is 45, and so on until 405.

The finite geometric sequence is {5, -15, 45, -135, 405}.

Thus, option (B) is correct.

A geometric sequence is a sequence in which each term is obtained by multiplying the preceding term by a constant factor called the common ratio.

In the finite geometric sequence {5, -15, 45, -135, 405}

In this sequence, each term is obtained by multiplying (-3) to the previous term.

So, the common ratio

= (-15)/ 5

= -3

Therefore, the sequence is {5, -15, 45, -135, 405}.

Thus, option (B) is correct.

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(NEED DONE SOON) The measure of two supplementary angles are 4x - 24 and 4(2x - 3).
What is x

Answers

Answer:

x = 12

Step-by-step explanation:

A pair of supplementary angles added together MUST equal 180. Therefore, as you are given two angles with the measures of (4x - 24) and 4(2x - 3), they must add together to equal 180. So, we get this equation:

(4x - 24) + 4(2x - 3) = 180

4x - 24 + 8x - 12 = 180 (we distributed 4(2x-3))

12x - 36 = 180

12x = 144

x = 12, -12

Therefore, x is 12 because -12 would mean that (4x-24) and 4(2x-3) are both negative, which is impossible for an angle measure.

what the sum of (2×105)+(3.8×105)=

Answers

609 for sure because if you add the all

please help, you can just slide the answer

Answers

Answer:

c is correct have a nice day

Step-by-step explanation:

I will pick you to be a brainlist and give you 100 points

Answers

Answer:

its b

Step-by-step explanation:

Find the measure of angle x. Help!

Answers

Answer:

98 ° is measures angle x.Hope this helps you.

98 is measure x hope it help

Help please this iis due today

Answers

Answer:

B is the correct answer

since

a1/a2=b1/b2≠c1/c2

Answer:

Choice B is correct!

Explanation:

The Large Hadron Collider is a tube formed into a circular loop measuring 4.3 km in diameter. It is used by physicists to accelerate atoms into each other to break them apart and observe new subatomic particles. An atom is accelerated 240 degrees around the loop before colliding with another atom. What is the distance that the atom traveled? Round your answer to the nearest hundredth. Units not necessary.

Answers

Answer:

9005.90 m

Step-by-step explanation:

The radius of the collider is half the diameter or 2150 m. The arc length S subtended by the angle is given by

S = r×(theta) where theta is the angle in radians. We need to convert the degree angle into radian angle using the following:

240° × (2pi/360°) = 4.19 radians

Therefore, the distance traveled by the atoms is so equal to the arc length S so

S = (2150 m)×(4.19 rad) = 9005.90 m

Can someone explain to me what 8√42 ÷ 2√7 is?

Answers

Answer:

Step-by-step explanation:

8√42 ÷ 2√7 is 8√42/2√7 in a fraction form

you want to take the square root out of the denominator, and so you would multiply the denominator by the numerator and itself.

8√42/2√7 * 2√7/2√7 = 4√6

Sam volunteers at an animal shelter. He created a line plot to show the weights in pounds of the kittens at the shelter.


Line plot named as ALTDCWeights of Kittens in ShelterALTDC shows a number line from half to two and half. The number line is divided into 4 equal parts. 3 dots on half, 2 dots on 1 and 1 dot on one and half is given.


What is the total weight of the kittens in the shelter?

Answers

Answer:

The total weight is 5kg

Step-by-step explanation:

Given

See attachment for box plot

Required

Determine the total weight of the kitten

First, we represent the plot in the following table where the number of dots represent the frequency.

So, we have:

[tex]Weight \to Frequency[/tex]

[tex]\frac{1}{2} \to 3[/tex]

[tex]1 \to 2[/tex]

[tex]1\frac{1}{2} \to 1[/tex]

[tex]2 \to 0[/tex]

[tex]2\frac{1}{2} \to 0[/tex]

Multiply the weight by the frequency, then add up the result

So, we have:

[tex]Total = \frac{1}{2} * 3 + 1 * 2 + 1\frac{1}{2} * 1 + 2 * 0 + 2\frac{1}{2} * 0[/tex]

[tex]Total = 1\frac{1}{2} + 2 + 1\frac{1}{2} + 0 + 0[/tex]

[tex]Total = 1\frac{1}{2} + 2 + 1\frac{1}{2}[/tex]

Express as improper fraction

[tex]Total = \frac{3}{2} + 2 + \frac{3}{2}[/tex]

Take LCM

[tex]Total = \frac{3+4+3}{2}[/tex]

[tex]Total = \frac{10}{2}[/tex]

[tex]Total = 5kg[/tex]

Six Less than four times a number is
-70

Answers

The answer is 286

Step-by-step explanation:

70 x 4 = 280 plus 6 equals 286

BRAINLIEST
Compare the volumes of the rectangular prisms shown below. Which of the containers will hold more, X or Y? In your final answer, include all of your calculations.

Answers

Answer:

X will be your answer be 126 and 110

Step-by-step explanation:

6x3x7=126

y=11x2x5=110

so X>Y

hope it helps!

Standing on a cliff 380 meters above the sea, Pat sees an approaching ship and measures its angle of depression, obtaining 9 degrees. How far from the shore is the ship? Now Pat sights a second ship beyond the first. The angle of depression of the second ship is 5 degrees. How far apart are the ships?

Answers

Answer:

(a). 2399.23 meters.

(b). 1944.19 meters apart.

Step-by-step explanation:

We have been given that standing on a cliff 380 meters above the sea, Pat sees an approaching ship and measures its angle of depression, obtaining 9 degrees.

(a) We are asked to find how far from the shore is the ship.

We know that tangent relates opposite side of a right triangle with its adjacent side.

Therefore, the ship is approximately 2399.23 meters away from the shore.

Therefore, the both ships are approximately 1944.19 meters apart.

Kiera’s middle school is conducting a survey to determine the winter dance theme. Which of the following best describes a random sample?
1 point
A. All of the students in Mrs. Jackson’s class are surveyed
B. Fifty student’s names from each grade are drawn from a hat
C. Fifty randomly selected staff members are surveyed
D. Fifty randomly selected 7th graders are surveyed

Answers

the answer to your question that you asked is b because it is the most random ............

The best description of a random sample for Kiera's middle school survey to determine the winter dance theme is option D: Fifty randomly selected 7th graders are surveyed.

What is random sampling?

Random sampling is a technique for picking a sample from a population in such a manner that each possible sample has a preset probability of being chosen.

As per the question, the sample should be representative of the entire student population, so selecting fifty students from each grade (option B) or all the students in Mrs. Jackson's class (option A) may not be representative of the entire student population.

Similarly, selecting fifty randomly selected staff members (option C) may not be representative of the student population.

Therefore, option D is the best choice as it randomly selects students from the population of interest.

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How many pints are in​ 6 1/2 ​quarts?

Answers

Answer:

13

Step-by-step explanation:

f0llow me if you have time thanks

hope it helps

#carryonlearning

#ownanswer

Answer:

13 pints

Step-by-step explanation:

2 pints per quart

6.5 x 2 = 12 + 1 = 13 pints

If my answer is incorrect, pls correct me!

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

-Chetan K

Which expression is equal to 16?

Answers

Answer:

D

Step-by-step explanation:

so the exponent outside of the parentheses cancels out the fractioned one inside since 3 is the reciprical of 1/3 (basically its 1/3 flipped creating 3/1)

D————————————————————

A pattern of ordered pairs is shown below.
(1,3), (3, 6), (5, 12), (7, 24)
If this pattern continues, what is the sixth ordered pair in the pattern?
please answer this fast

Answers

Answer:

(9,48)

Step-by-step explanation:

The x's are being added by 2, while the y's are being multiplied by 2.

It would be ( 9,48) i know that by figuring out that you add to the x and times 2 for the y

2) Which statement is modeled by 2p + 5 < 11?
(1) The sum of 5 and 2 times p is at least 11.
(2) Five added to the product of 2 and p is less than 11.
(3) Two times p plus 5 is at most 11.
(4) The product of 2 and p added to 5 is 11

Answers

Answer:

(2) Five added to the product of 2 and p is less than 11.

Step-by-step explanation:

2p + 5 is represented by five added to the product of 2 and p.

This is because 2p is the product, and 5 is added to it.

The less than inequality means that 2p + 5 is less than 11.

So, the correct statement is (2) Five added to the product of 2 and p is less than 11.

The statement below is a different way to say that the sides of these similar parallelograms are proportional.

Complete the equations that go with the statement.

Answers

The correct statement is [tex]\frac{a}{b}[/tex] = [tex]\frac{t}{s}[/tex] ,  [tex]\frac{b}{c}[/tex] = [tex]\frac{s}{r}[/tex] ,  [tex]\frac{c}{d}[/tex] = [tex]\frac{r}{q}[/tex].

What is Parallelogram?

Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.

Opposite sides are parallel, and the opposite sides and opposite angles are equal.

Similar figures are those figures whose ratio of the length of sides are proportional.

Similar figures only differ in size, their shape is equal.

The sides a, b, c and d in the larger parallelogram is similar to the sides t, s, r and q respectively in the smaller parallelogram.

So we get the ratio b / c equal to the ratio s / r and the ratio c / d equal to the ratio r / q.

Hence the equation that go with the statement two sides of a parallelogram have the same ratio as the corresponding two sides of a parallelogram is  [tex]\frac{a}{b}[/tex] = [tex]\frac{t}{s}[/tex] ,  [tex]\frac{b}{c}[/tex] = [tex]\frac{s}{r}[/tex] ,  [tex]\frac{c}{d}[/tex] = [tex]\frac{r}{q}[/tex].

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Answer:The first one is 16 and the second one is 18

Step-by-step explanation:

Miguel weighs himself and discovers he weighs 83,600 grams. How many kilograms does Miguel weigh?

Answers

the answer is 83.6 , move the decimal

The solution is, 83.6 kilograms does Miguel weigh.

What is unit conversion?

A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.

here, we have,

given that,

Miguel weighs himself and discovers he weighs 83,600 grams.

now.,, we have to find that how many kilograms does Miguel weigh.

we know that,

1000 grams = 1 kg

so, we have,

he weighs 83,600 grams

so,

as, 1000 grams = 1 kg

so, 1 gram = 1/1000 kg

we get,

83,600 grams =  1/1000 * 83,600 kg

i.e. 83,600 grams = 83.6 kg

Hence, 83.6 kilograms does Miguel weigh.

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Find the area of a circle with a circumference of 50.24 units.

Answers

Answer:

200.96

Step-by-step explanation:

have a good day:D

Herbert has three lawn-mowing jobs. One lawn is shaped like a trapezoid,

one like a triangle, and one like a rectangle. The trapezoidal lawn has bases that are 90 feet and 126 feet and a height of 75 feet. The triangular lawn has a height of 80 feet and a base of 105 feet. The rectangular lawn has a length of 120 feet and width of 90 feet. If Herbert can cut a 160 ft × 70 ft lawn in 2 hours, how long will it take him to mow all three lawns?

Answers

Answer:

4.125 hours

Step-by-step explanation:

Trapezoid shaped lawn :

Bases : 90 ; 126 ; height = 90

Area of trapezium = 1/2(a+b) h ; a and B are the bases and h = height

Area of trapezium = 1/2(90 + 126) * 75

Area = 108 * 90 = 8100 feets

Triangular lawn :

Height = 80 feets ; Base = 105 feets

Area of triangle = 1/2 base * height

Area = 1/2 * 80 * 105 = 4200 feets

Rectangular lawn :

Length = 120 feets ; width = 90 feets

Area of rectangle = Length * width

Area = 120 * 90 = 10800 feet²

Area of all 3 lawns = (8100 + 4200 + 10800) = 23100

In 2 hours ; Herbert can now (160 * 70) = 11200 feets

23100 / 11200 = 2.0625

Tine required to mow all three lawns :

2 hours * 2.0625 = 4.125 hours

= 4 hours, 7 minutes, 30 seconds

A bag contains apps and six oranges. You randomly draw a piece of fruit from the bag, eat it, and then randomly draw another. what is the probability you draw and eat an apple than draw an orange?

Answers

Complete Question

A bag contains 8 apples and six oranges. You randomly draw a piece of fruit from the bag, eat it, and then randomly draw another. what is the probability you draw and eat an apple than draw an orange?

Answer:

Step-by-step explanation:

2x + 2y = -4
3x - 2y = 9

Answers

Answer:

x = −y −2

Step-by-step explanation:

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