ABCD is a quadrilateral. Work out the length of CD. Give your answer to 3 significant figures

ABCD Is A Quadrilateral. Work Out The Length Of CD. Give Your Answer To 3 Significant Figures

Answers

Answer 1

Check the picture below.

[tex]sin(35^o)=\cfrac{\stackrel{opposite}{12}}{\underset{hypotenuse}{BD}}\implies BD=\cfrac{12}{sin(35^o)} \\\\[-0.35em] ~\dotfill\\\\ \textit{Law of sines} \\\\ \cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{sin(52^o)}{BD}=\cfrac{sin(102^o)}{CD}\implies CD=\cfrac{BD\cdot sin(102^o)}{sin(52^o)} \\\\\\ CD=\cfrac{\frac{12}{sin(35^o)}\cdot sin(102^o)}{sin(52^o)}\implies CD=\cfrac{12\cdot sin(102^o)}{sin(35^o)\cdot sin(52^o)}\implies CD\approx 26.0[/tex]

ABCD Is A Quadrilateral. Work Out The Length Of CD. Give Your Answer To 3 Significant Figures

Related Questions

1- Finding angle measures between intersecting lines

NOTE: Angles not necessarily drawn to scale

x = ??

Answers

I’m pretty sure x=60

Choose an equivalent expression for 123 • 129 • 124 • 122.

Answers

Answer:

Like what type of expression? And Is it for all the numbers at once, or is it each number separately?

Step-by-step explanation:

pls help! see multiple choice. will give brainliest and 20 points

Answers

(3,-7)
Hope to help you, have a good day

xd xd xd xd xd xd xd xd

Answers

Answer:

8576×7=60032

Step-by-step explanation:

Answer:

XDDDDDDDD

Step-by-step explanation:

Tamara wants to calculate the height of a tree outside her home. Using her clinometer, she measures the angle from 35 feet away from the base of the tree and gets an angle of 62°. Tamara's eye level is 5.5 feet above the ground. How tall is the tree?

Answers

Answer:

71.32 feet

Step-by-step explanation:

We set up a trigonometric function to get height of tree

Distance ,x = 35 feet away from tree base

Angle = 62⁰ at eye level

Y = tan(angle) * x

= Y = tan(62⁰) x 35

Y = 1.881 x 35

Y = 65.82 feet

We add Tamara's height to the total height of the tree

= 65.82feet + 5.5 feet

= 71.32 feet is the height of the tree

help me pls u get 10 points

Answers

We need to see the whole thing to answer this.

Please help with finding how many solutions a problem has.

Answers

The answer is no solutions, because if you simplify the expression you end up with 0=132. This means there are no solutions.

Does the expression x^3-1/x^2-1 simplify to x?

Answers

Answer:

no it doesn't

Step-by-step explanation:

[tex] \frac{ {x}^{3} - 1 }{ {x}^{2} - 1 } = \frac{(x - 1)( {x}^{2} + x + 1) }{(x - 1)(x + 1)} \\ [/tex]

( x - 1 )s simplifies

[tex] \frac{ {x}^{2} + x + 1 }{x + 1} \\ [/tex]

_________________________________

Thus ; the expression doesn't simplify to x.

Please help me and explain the answer is the answer

Answers

Answer: C

Step-by-step explanation:

A hot air balloon descends to the ground. The function a(t) = 210 – 15t can be used to describe the altitude of the balloon as it approaches the ground. The time is in minutes.

What does t represent?


What does a(t) represent?


What information will a(5.5) give?

Answers

Answer:

t represents the time in minutes since the balloon started descending.

a(t) represents the altitude of the balloon at t minutes.

a(5.5) gives the altitude at 5.5 minutes.

Answer:

What does t represent?

✔ time after the balloon begins to descend

What does a(t) represent?

✔ altitude of the balloon

What information will a(5.5) give?

✔ altitude of the balloon after 5.5 minutes

 

Step-by-step explanation:

edge 2021

plz make me brainliest

What is 8×∙(−7)∙3 = Because I need it right now for my HOMEWORK, so if you know the answer please tell me what it is.

Answers

Answer:

-168

Step-by-step explanation:

8 × -7 × 3

-56 × 3

-168

What is the length rounded to the nearest whole number? (length = 25.15 ft) *

Answers

Answer:

25

Step-by-step explanation:

Plz help!
Solve... 4x + 30 = -6(x - 2)
I got -4.2 but it's wrong!

Answers

Answer: x= -9/5   or x = -1.8

Step-by-step explanation:

4x + 30 = -6(x - 2)   First apply the distributive property on the left side

4x + 30 = -6x + 12      Add 6x to both sides

+6x           +6x

   10x + 30 = 12     Subtract 30 from both sides

           -30    -30

10x = -18     Divide both sides by 10

 x = -9/5     or x = -1.8

Answer:

the answer is -1.8 if you want to use the decimal and -9/5 if you want to use the fraction

Step-by-step explanation:

4x + 30 = -6(x - 2)

4x+30 = -6x + 12

4x + 6x = 12 - 30

10x = -18

divide both side by 10

x = -9/5 or -1 4/5 or -1.8

( also not trying to gatekeep so i wanna say that i got this answer from an app named photomath. i scanned the question in the camera and it pulled the answer. hoped it helped love!)

In a fruit salad, the ratio of watermelon to strawberries is 2:3. if there are 27 strawberries in the fruit salad, How many pieces of watermelon are there?

Answers

Answer: 18

Step-by-step explanation:

27 strawberries divided by 3 strawberries = 9

2 watermelon times 9 = 18 watermelon


Given B(17,5), C(11, -3), D-1, 2), and
E(x, -6), find the value of x so that BC || DE.

Answers

Answer:

[tex]x=-7[/tex]

Step-by-step explanation:

Remember that:

Two lines are parallel if their slopes are the same.Two lines are perpendicular if their slopes are negative reciprocals.And two lines are neither (a.k.a intersecting) if they are neither parallel nor perpendicular.

We want to find the value of x such that [tex]\overline{BC}\parallel\overline{DE}[/tex].

Therefore, the slopes of BC and DE must be equivalent.

So, let's find the slope of BC first.

BC)

We can use the slope formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let B(17, 5) be (x₁, y₁) and let C(11, -3) be (x₂, y₂). Substitute:

[tex]\displaystyle m=\frac{-3-5}{11-17}[/tex]

Subtract:

[tex]m=-8/-6=4/3[/tex]

So, the slope of BC is 4/3.

DE)

Let D(-1, 2) be (x₁, y₁) and let E(x, -6) be (x, y₂). Substitute:

[tex]\displaystyle m=\frac{-6-2}{x-(-1)}[/tex]

We know that the two slopes must be equal. So, the slope of DE must also be 4/3. Substitute 4/3 for m:

[tex]\displaystyle \frac{4}{3}=\frac{-6-2}{x-(-1)}[/tex]

Solve for x. Simplify the right:

[tex]\displaystyle \frac{4}{3}=\frac{-8}{x+1}[/tex]

Cross multiply:

[tex]4(x+1)=-8(3)[/tex]

Multiply on the right:

[tex]4(x+1)=-24[/tex]

Divide both sides by 4:

[tex]x+1=-6[/tex]

Subtract 1 from both sides:

[tex]x=-7[/tex]

So, the value of x is -7.

And we're done!

i need help in finding the sum for (16 − x2) + (−14x2 + 7x5 − 17x4 + 9) plz help :( im rlly bad at math

Answers

Answer:

-50

Step-by-step explanation:

To show that the triangles are congruent, triangle ABC could be transformed by
which movement(s) to fit exactly on triangle XYZ?

Answers

Answer:

D a reflection over the x axis by a reflection over the y axis

Step-by-step explanation: if u put the triangle on the button left up then move it to the upper right it’s congruent.

Answer: A rotation of 270° clockwise about the origin followed by translation left 1 and up 10

Step-by-step explanation:

The graph represents the gallons of water in a water tank with respect to the number of hours since it was completely filled. The total capacity of the water tank is gallons, and the rate of change is gallons per hour.

Answers

Answer:

Total capacity of the water tank is 400 gallons

Rate of change in water level is 20 gallons per hour

Step-by-step explanation:

The graph attached represents the gallons of water in a water tank with respect to the number of hours since it was completely filled.

The total capacity of the water tank is represented by the y-intercept of the graph that is 400 gallons.

Now to calculate the rate of change in water level we will take two points on the given line and find the slope.

There are two points (0, 400) and (5, 300) on the line.

So the slope of the line is (400-300)/(0-5)=  -100/5=  -20

This minus notation of slope shows that level of water is reducing and rate of change in water level is 20 gallons per hour.

6 2/9 ÷ (-2 2/3)
please help​

Answers

Answer:

- 2 1/3

Step-by-step explanation:

Hi there !

6  2/9 : ( - 2 2/3) =

= (6*9+2)/9 : -(2*3+2)/3

= 56/9 : - 8/3

= 56/9 × - 3/8

simplify 56 - 8 ; 9 - 3

= 7/3 × - 1/1

= - 7/3

= - 2 1/3

Good luck !

Is the line through points p (3,-5) and Q(1,4)parallel to the line through points R( -1,1) and S (3,-3)

Answers

Answer:

No

Step-by-step explanation:

To find out if the lines that go through the pairs of points are parallel, we must find the slope of each line. If the slopes are equivalent, then they are parallel. If not, then they are not parallel.

We can use the slope formula to find the slope between two points. The slope formula is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where m is the slope between the points (x₁, y₁) and (x₂, y₂).

Lets first find the slope between points P and Q.

[tex]m=\frac{-5-4}{3-1}=\frac{-9}{2}=-4.5[/tex]

So the slope between P and Q is -4.5.

Now lets find the slope between the points R and S.

[tex]m=\frac{-3-1}{3-(-1)}=\frac{-4}{4}=-1[/tex]

So the slope between R and S is -1.

Since -4.5 does not equal -1, the lines are not parallel.

I hope you find my answer and explanation to be helpful. Happy studying.

Which of the equations below will answer the following question? Select all that apply. Explain your answers.

I think of a number, add 7 and then multiply by 4. My answer is 80. What was my number?

x + 28 = 80
4(x+7) = 80
4x + 7 = 80
4x + 28 = 80

Answers

The 2nd one (look at photo)

Kristen has been waiting all summer for her family's annual road trip. This year, they're headed to Yellowstone National Park. Kristen just saw a sign that said the park is 10 miles away, so the drive is almost over. If Kristen's father drives 50 miles per hour, how many more minutes will it take to reach the park?

Answers

Answer: It will take 12 minutes to the reach the park.

Step-by-step explanation:

We know that, [tex]\text{Speed }=\dfrac{\text{distance}}{\text{time}}[/tex]

[tex]\Rightarrow\ \text{Time}=\dfrac{\text{Distance}}{ \text{Speed}}[/tex]

Given: Speed = 50 miles per hour

Distance needs to travel =  10 miles

Now, Time required to reach the park = [tex]\dfrac{10}{50}=\dfrac{1}{5}\text{ hour}[/tex]

Since 1 hour = 60 minutes

So, [tex]\dfrac15\text{ hour}=\dfrac15\times 60=12\text{ minutes}[/tex]

Hence, it will take 12 minutes to the reach the park.

2x + 5 = 8x-7-6x What is the answer to this question?

Answers

Answer:

No solution

Step-by-step explanation:

To adopt a dog from an animal shelter, you must pay $80 for vaccinations, $65 to spay or neuter the dog, and $50 for a wellness exam by a veterinarian.

a. Write an expression in simplest form that represents the amount (in dollars) it costs to adopt x dogs.
An expression is (?) dollars.

Answers

The equation with (x) in dogs and (y) in dollars is  [tex]y=195x[/tex]

First, you must set up your equation.

[tex]y=80x+65x+50x[/tex]

Then, you must add like terms to simplify the equation

[tex]y=195x[/tex]

Answer:y=195x

Step-by-step explanation:

Pls help

Write a recursive AND explicit formula AND find the 7th term for each sequence:

1. 5,0,-5,-10


2. 3,4.5,6,7.5,9

Answers

Answer:

1)5-5x

2)3+1.5x

Step-by-step explanation:

5-5(7)=-30

3+1.5(7)=13.5

What is the slope of the line shown in the graph?

1. 4/5
2. 5/7
3. 6/7
4. 5/6

Answers

The slope of the line is B. 5/7

What is the square of 9 is less than 100. True or false?

Answers

Square of 9 is 81 and it is less than 100

x^2 - 7x = -4
solve by factoring

Answers

Step-by-step explanation:

x= -[tex]\sqrt{[/tex]7x - 4

Jason bought a TV that was $1099.99. He made a
down payment of 199.99 and wants to pay the rest in
9 equal monthly payments. How much would he pay
each month?

Answers

1099.99-199.99=900
900 divided by 9= 100
Answer = 100$ every month
100 every month! This is because the original cost - the down payment equals 900. 900 divided into 9 months is 100$!!!!

Someone help me please.

Answers

I did the answers on the picture.
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