What is the length of BD?

What Is The Length Of BD?

Answers

Answer 1

Answer:

[tex]10\sqrt{3}[/tex]

Step-by-step explanation:

Trigonometric Ratios

This problem will be solved by the use of a trigonometric ratio called sine because it relates the opposite side of a given angle with the hypotenuse of the triangle.

Selecting the angle of 60° in triangle ABD:

Sine Ratio

[tex]\displaystyle \sin 60^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle \sin 60^\circ=\frac{BD}{20}[/tex]

Solving for BD:

[tex]\displaystyle BD=20\sin 60^\circ[/tex]

Since

[tex]\sin 60^\circ=\frac{\sqrt{3}}{2}[/tex]

[tex]\displaystyle BD=20\frac{\sqrt{3}}{2}[/tex]

Simplifying:

[tex]\boxed{\displaystyle BD=10\sqrt{3}}[/tex]


Related Questions

What is the slope of the line below?

Answers

Answer:

-1/2

Step-by-step explanation:

Nancy can do a typing job in 8 hours, when Carole helps her, they can do the job in 5 hours. How many hours would it take Carole to do it alone

Answers

Answer: [tex]\frac{40}{3}\ \text{hours}[/tex]

Step-by-step explanation:

Nancy can do typing job in 8 hours

i.e. in 1-hour nancy can  [tex]\frac{1}{8}[/tex] part of work

Together they can do that work in 5 hours

or in 1 hour [tex]\frac{1}{5}[/tex] part of work is done

suppose Carole takes x hours for the work

so, in 1 hour [tex]\frac{1}{x}[/tex] part is done

If both work together for 1 hour then we can write

[tex]\frac{1}{8}+\frac{1}{x}=\frac{1}{5}[/tex]

[tex]\frac{1}{x}=\frac{1}{5}-\frac{1}{8}[/tex]

[tex]x=\frac{40}{3}\ \text{hours}[/tex]

the tables represent two linear functions in a system.
which is the solution to this system?
A. {-13/3, -25}
B. {-14/3, -54}
C. (-13, -50)
D. (-14, -54)

Answers

The answer to your questions is A

needing help please...

Answers

Given:

Perimeter of a parallelogram = 64 cm

Length = 3 times larger than the width

To find:

The length of the parallelogram.

Solution:

We know that, the perimeter of the parallelogram is:

[tex]P=2(l+w)[/tex]

Where, l is length and w is width of the parallelogram.

We have, l = 3w and P=64.

So,

[tex]64=2(3w+w)[/tex]

[tex]64=2(4w)[/tex]

[tex]64=8w[/tex]

Divide both sides by 8.

[tex]8=w[/tex]

Now,

[tex]l=3w[/tex]

[tex]l=3(8)[/tex]

[tex]l=24[/tex]

Therefore, the length of the parallelogram is 24 cm.

how to find a percentage​

Answers

Answer:

you just multiply it by 100, thats all

for example, to change 4 to percentage, multiply it by 100

400%

i hope this helps

Stay safe from the virus

Step-by-step explanation:

Mr. Chen drives 26 miles to work every day. He drives the same distance to get back home. How many miles does he drive during a 5-day work week

Answers

Answer:

260 miles

Step-by-step explanation:

Given that,

Total distance driven by Mr. Chen everyday = 26 miles

He drives the same distance to get back home.

It means total distance driven by Mr. Chen to go and come back = 2(26) = 52 miles

We need to find how many miles does he drive during a 5-day work week.

Total distance = 5×52

= 260 miles

Hence, he will drive 260 miles during a 5 day work week.

Which sets of ordered pairs show equivalent ratios?. Check all that apply. (1, 2), (2, 3), (4, 7) (2, 2), (4, 4), (6, 6) (3, 1), (4, 1), (5, 1) (4, 1), (8, 2), (12, 3) (2, 1), (4, 3), (5, 4)

Answers

Answer:

(2, 2) ; (4, 4) ; (6, 6)

(4, 1) ; (4, 1) ; (8, 2) ; (12, 3)

Step-by-step explanation:

(1, 2), (2, 3), (4, 7) (2, 2), (4, 4), (6, 6) (3, 1), (4, 1), (5, 1) (4, 1), (8, 2), (12, 3) (2, 1), (4, 3), (5, 4)

Evaluating the ratio of each pair :

(1, 2) = 1/2 = 0.5

(2,3) = 2/3 = 0.67

(4, 7) = 4/7 = 0.57

(2,2) = 2/2 = 1

(4, 4) = 4/4 = 1

(6, 6) = 6/6 = 1

(3, 1) = 3 /1 = 3

(4, 1) = 4 / 1= 4

(5,1) = 5 / 1= 5

(4, 1) = 4 / 1 = 4

(8, 2) = 8/2 = 4

(12,3) =12/3 = 4

(2, 1) = 2/1 = 2

(4,3) = 4 / 3 = 1.33

(5, 4) = 5 / 4 = 1.25

Pairs with equivalent ratios :

Ratio of 1;

(2, 2) ; (4, 4) ; (6, 6)

Ratio of 4:

(4, 1) ; (4, 1) ; (8, 2) ; (12, 3)

HELP ME OUT HERE PLEASEEEEE

Answers

It would be 1+1 and that would be 2 so you are welcome

Answer:

a. 29

b. 0.25

c. 75

d. 64

Step-by-step explanation:

You just basically plug in the number for x and solve.

Please rewrite using the distributive property and GCF 81-30

Answers

7 hello it is me caved dragon

Simplify the expression by combining like terms.
15r - 7s + 2r + s

Answers

Answer:

17r - 6s

Step-by-step explanation:

The appropriate measure of center to describe the data distribution is the:
Mean
Median

Answers

Answer:

median

Step-by-step explanation:

A geometric sequence starts with 10, 5, . . . Explain how you would calculate the value of the 100th term.

Answers

Answer:

The 100th term will be;

10(0.5)^99

Step-by-step explanation:

Firstly, we need the common difference and the first term

The first term is 10

The common difference is 5/10 = 1/2

Now, the formula for the nth term of a geometric sequence is;

ar^n-1

So, for the nth term, we have;

ar^(100-1)

= ar^99

So we have

10(1/2)^99

What is the y-intercept of the graph that is shown below? On a coordinate plane, a line goes through points (0, 2) and (3, 0). (–3, 4) (0, 2) (2, 0) (3, 0)

Answers

Answer:-2/3

Step-by-step explanation:the problem is asking for the slope of (0,2) and(3,0). The formula for this problem is y2-y1 over x2-x1. And if your writing this formula down write it like a fraction with y on top and x on bottom. (x,y) (x2,y2). You take the 0 from the second set and the 2 from the first set and subtract them to get -2. Then you take the 3 from the sea d set and the 0 from the first set and you subtract them to get 3. That’s how you get the answer of -2/3.

Answer

(0,2)

Step-by-step explanation:

what would the equation be to this x-y table ?

Answers

y=-x+10. the y intercept is 10 so there is a +10 and the slope is -1

please help me please will give brainliest ​

Answers

Answer:

A right triangle is equal to 180 degrees so we would subtrat 90 and 42 to find the missing angle

90+42

=132

180-132

=48 degrees

Answer is A

HELP PLEASE SUPER EASY IM JUST WEIRD HAAALP!!

Answers

Answer:

he burns 6 calories

Step-by-step explanation:

Answer:

HAHAH NOT THE MAP TEST but here’s ur answer HAHAH

360

Step-by-step explanation:

540 divided by 3 = 180

180 x 2 = 360

If a football field is 100 yards long and 54 yard wide and what is the area in perimeter of that football filed

Answers

Answer:

5400

Step-by-step explanation:

you would measure the length and width. Multiply the length by the width to get the area, and add twice the length to twice the width to get the perimeter

solve -5 3/4 - 3 1+/2​

Answers

-18 3/8 is the answer your looking for



Hope this helps :)

What is the value of n?

–2n – 16 = 4n + 8

Answers

Answer:

(n = 12)

Step-by-step explanation:

-2n - 16 = 4n + 8

+4n          +4n

2n - 16 = 8

    + 16   +16

2n = 24

2       2  = 12

(n = 12)

the price of an item yesterday was $110 today the price fell to $33 find the percentage decrease ​

Answers

Answer:

70% decrease

Step-by-step explanation:

33 = 30% of 110

At a party there were four large submarine sandwiches, all the same size. During the party, 2/3 of the chicken sandwhich, 3/4 of the tuna sandwhich, 7/12 of the roast beast and 5/6 of the veggie sandwhich were eaten. Which sandwhich had the least amount left?

Answers

Answer:

The answer is the Veggie Sandwich

Step-by-step explanation:

Given that there are four large submarine Sandwiches in a party and all of them are of the same size.

Some parts of each of them were eaten during the party. We are to find the Sandwich that has the least amount left.

The fractions of the Chicken Sandwich(C), Tuna Sandwich(T), Roast beef Sandwich(R) and the Veggie Sandwich(V) that were eaten during the party are given by

Therefore, the fractions of the Sandwiches that left will be

Out of the four fractions, V' is the smallest, so the Veggie Sandwich has the least amount left.

True or False? -|7| = |-7|

Explain please.

Answers

Answer:

False

Step-by-step explanation:

Notice how the negative symbol is outside the first number and inside the first number. If the negative symbol is outside the absolute value, the number will remain negative. If the negative symbol is inside the absolute value, the number will turn to positive.

Best of Luck!

what is the slope of (-6, 10) and (0, -5)

Answers

Answer:

[tex]\frac{-15}{6}[/tex]

Step-by-step explanation:

[tex]\frac{-5-10}{0-(-6)}[/tex]

[tex]\frac{-15}{6}[/tex]

Can someone please help me with this.Please help me I really need help

Answers

Answer:

102, 118, 134, 150

Step-by-step explanation:

As per given, the relationship is:

p(m) = 16m + 86

To fill in the table we get:

m = 1  ⇒ p(1) = 16*1 + 86 = 102m = 2 ⇒ p(2) = 16*2 + 86 = 118m = 3 ⇒ p(3) = 16*3 + 86 = 134m = 4 ⇒ p(4) = 16*4 + 86 = 150

Can you create electricity with magnetism?

Answers

Answer:

Yes. That's how a magneto on a small lawn mower creates the spark for the spark plug. A magnet passes a coil and energizes the coil to produce electricity.

Step-by-step explanation:

Magnetic fields can be used to make electricity
The properties of magnets are used to make electricity. Moving magnetic fields pull and push electrons. ... Moving a magnet around a coil of wire, or moving a coil of wire around a magnet, pushes the electrons in the wire and creates an electrical current

complete the missing value in the solution to the equation -3x+7y=5x+2y

Answers

Y= 8/5x when solving for y. when solving for x it is x=5/8y

PLEASE YALL I NEED HELP WITH EVERYTHING!!

Answers

Answer:

I'm not entirely sure how to help-

Step-by-step explanation:

Answer:

what do you mean by everything? do you have any pictures of the questions?

Step-by-step explanation:

Evaluate the expression 2.1x - 4.3 for x = 2.2.

Answers

Answer:

.32

Step-by-step explanation

2.1x - 4.3 for x =2.2
2.1 * 2.2 - 4.3 =
4.62 - 4.3 =
0.32

A unicycle tire can travel 7.85 ft. in on revolution. What is the area of the unicycle tire? Round answer to the nearest tenth.

Answers

Answer:

The answer would be 0.06

Step-by-step explanation:

Answer:

4.9ft^2

Step-by-step explanation:

7.85 ft is the circumference of the tire (circle), so [tex]\pi[/tex]d = 7.85.

7.85/[tex]\pi\\[/tex] = 2.5, the diameter is 2.5, so the radius is 1.25.

[tex]\pi[/tex]r^2 is the formula for the area, so [tex]\pi[/tex]*1.25^2 = 1.5625[tex]\pi[/tex], which is 4.906, which rounded to the tenth is 4.9.

If Cam gets 1000$ dollars every 2 weeks how much money will he make in a year?

Answers

Answer:

24,000

Step-by-step explanation:

That is 2000 every month. 2000 × 12 = 24000

Answer:

Than you for your points:)))))))

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