Each half of a drawbridge is 284 feet long. When one half of the bridge is raised, the
vertical rise is 142 feet. What is the measure of the angle, marked with an x on the
image, formed by the bridge and the horizontal? Round your answer to the nearest
degree, and enter the number only.

Answers

Answer 1
Hello,

First, sin(x) = O/H
Next, sin(x) ->> x = sin^-1(O/H)
Last, x = sin^-1(142/284) = 30°
30° makes sense because this scenario of a drawbridge creates a 30-60-90 triangle.

Good luck to you! Any questions, ask away.

Related Questions

Does anyone know how to do this?

Answers

Add 78 and 45 you’ll get 123!

Please help ASAP!
thx :)

Answers

The last one : 81/16

can someone help me for once ?​

Answers

Answer:

The answer is A)-4,6

Step-by-step explanation:

sorry if wrong

hope this helps

plz give brainliest

Select all shapes that have a volume of \small 36\pi cubic units.

a




b




c




d




e




f




g

Answers

Answer:

Step-by-step explanation:

Chelsea is making a kite in the shape of a triangle. To determine if the triangle is a right triangle, Chelsea completed the following steps.

Step 1:

Find the side lengths of the triangle: 30 inches, 24 inches, 18 inches.

Step 2:

Substitute the values into the Pythagorean theorem: 18 squared + 24 squared = 30 squared.

Step 3:

Combine like terms: (18 + 24) squared = 30 squared.

Step 4:

Evaluate each side: 1764 not-equals 900.

Chelsea says the triangle is not a right triangle. Which best describes the accuracy of her explanation?

The triangle is actually a right triangle. In step 2, Chelsea incorrectly substituted the values into the Pythagorean theorem.

The triangle is not a right triangle, but in step 2 Chelsea incorrectly substituted the values into the Pythagorean theorem.

The triangle is actually a right triangle. In step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.

The triangle is not a right triangle, but in step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.

Fred was purchasing rice for his restaurant for the week. He usually makes 150 dishes a week with rice and each portion is 5 ounces. How many pounds of rice should Fred purchase for the week?

Answers

Answer: He bought 46.875 pounds of rice for the week.

Step-by-step explanation:

Total rice he bought = (Number of dishes made in a week) x (portion of rice in each dish)

GIven: Each portion has 5 ounces of rice.

i.e. each portion has [tex]\dfrac{5}{16}[/tex] pounds of rice.    [ 1 pound = 16 ounces]

Total rice he bought ( in pounds)=[tex]150\times\dfrac{5}{16}[/tex]

[tex]=46.875\text{ pounds}[/tex]

Hence, he bought 46.875 pounds of rice for the week.

A pack of batteries that contains nine batteries costs $20. Determine the cost per
battery.

Answers

Answer:

$2.22

Step-by-step explanation:

Hi guys can you answer my math question​

Answers

Answer:

4

Step-by-step explanation:

It is. I just know it lol

Answer:

Figure 3

Step-by-step explanation:


An orange is 9 cm in diameter. If 2/9 of it is juice, how much can you get from 7 such oranges. Assume that the orange is a sphere.

Two-thirds of the juice is poured into a cylindrical container 14 cm high and diameter 7 cm. How many ice-
cubes, each of sides 3 cm, can be added before the juice begins to overflow?

Answers

Answer:

5 ice cubes

Step-by-step explanation:

Volume of each orange:

V = 4/3πr³ = 4/3*3.14*(9/2)³ = 381.51 cm³

Volume of juice from 7 oranges:

381.51*7*2/9 = 593.46 cm³

Juice poured into a container:

593.46*2/3 = 395.64 cm³

Volume of the container:

V = πr²h = 3.14*(7/2)²*14 = 538.51 cm³

Empty part of the container after juice is poured:

538.51 -  395.64 = 142.87 cm³

Volume of each ice cube:

V = a³ = 3³ = 27 cm³

Number of ice cubes to fill the containers' volume:

142.87/27 = 5.29

5 ice cubes can be added, the juice will overflow if 6th ice cube is added

Help pls!! Which of the following most specifically describes quadrilateral QUAD?

Answers

Answer:

I mean I think they are all quadrilateral, but the one that is congruent and perpendicular on both sides is a square.

Step-by-step explanation:

HELP ME

Mena is going to toss 3 pennies. What are the
total outcomes of his experiment?

Answers

Answer:

she will toss pennies

Step-by-step explanation:

please mark as brainliest

9×7= Use. the disistributive property to find each product.

Answers

Answer:

63

Step-by-step explanation:

first yoy need to put the biggest number on the top then multiply each number

Turner is training for a triathlon and needs to swim a certain distance for today's workout. If he swims at the rec center pool, he will complete a 150-meter warmup and then swim laps in a lane that is 30 meters long. If Turner swims at the indoor pool at his gym, he will complete a 250-meter warmup, plus a main set that consists of 20 meters per lap. If Turner swims the correct number of laps, he can complete the same distance in either pool. How many laps will that take?
a
13 LAPS
b
10 LAPS
c
34 LAPS
d
9 LAPS

Answers

B. 10 Laps

150 + (10 x 30) = 450 M
250 + (10 x 20) = 450 M

The circumference of a circle is 25π cm. What is the area, in square centimeters? Express your answer in terms of \piπ.

Answers

Answer:

Area = 156.25 pi square centimetres

Step-by-step explanation:

circumference =

[tex]2 \: \pi\:r[/tex]

so,

=

[tex]2 \: \pi \: r = 25\pi[/tex]

=

[tex]r = 25 \div 2[/tex]

=

[tex]r = 12.5[/tex]

now, the area =

[tex]\pi \: r \: {}^{2} [/tex]

=

[tex]\ pi \times 12.5 \times 12.5[/tex]

=

[tex]156.25 pi square centimeters

What is the simplified form of the following expression??

Answers

Answer:

-56[tex]x^{11}[/tex]

Please mark brainliest if you can, thank you

Step-by-step explanation:

Answer:

−56x^11        (The 11 is an exponent)

I hope I helped

AHAHAHAHHHHHAHA i need help PLEASE HELP ME WITH MY MATH

Answers

Answer:

5

Step-by-step explanation:

-8x + 25 = -15

                 -25 = -40  then

-40 divide -8 to get 5

Answer: x = 5

The first step of the inverse operation is to subtract 25 on both sides of the equation to cancel out the 25 from the left side:

-8x+25 (-25) = -15 (-25)

-8x = -40

Next, you need to divide -8 on both sides to isolate the variable, which would give you the answer to x. The negatives would cancel out, leaving you with: x = 5

hope that helps :)

What is the area of this rectangle?​

Answers

Answer:

15 cm squared

area =l x w

so 3 x 5= 15

Step-by-step explanation:

Answer:

15cm

Step-by-step explanation:

please help i dont get it and its for a grade! :(

Answers

Answer:

y=-4x+5

Step-by-step explanation:

what is the probability that at least one of their children will be a boy? if a couple is planing on having 3

Answers

Answer:

You can see that the chance of having at least one boy is 1/2 in the first generation, 3/4 in the second, and 7/8 in the third.

Step-by-step explanation:

(help!) What is the relationship between the ratios of the Perimeter and the ratios of the Area?


Perimeter Area

2:3 4:9

3:5 9:25

Answers

Answer:

4.5 I think

Step-by-step explanation:

An _ is a segment that extends from the vertex of a triangle and is perpendicular to the opposite side

Answers

Answer———-
(((Altitude)))

What is the value of x? X - 9 = 21

Answers

Answer:

X=30

Step-by-step explanation:

First do the inverse which is 9 add 21 which is 30

Then u do 30-9 which equals 21 to clarify the answer

Answer:

[tex]x=30[/tex]

Help me please you will get the brainliest answer if you get it right :))

Answers

Answer:

J

Step-by-step explanation:

Answer: F

Step-by-step explanation: Because I Did The Test! :)

a shopkeeper marks his goods at 20% above the cost price. If he allows his customer a discount of 10%, find his profit%

Answers

He Would Earn 10% More Than How Much He Paid For The Goods.

Answer:

Step-by-step explanation:

Let be cost price =Rs.100

Then mark price =Rs.120

∴ Selling price =90% of 120

=

100

120×90

=Rs.108

Profit = Selling price− Cost price

=Rs.(108−100)=Rs.8

Profit % =

100

8×100

=8%

What is the following product?

Answers

Answer:

First option: 6y^2sqrt(10) + 12sqrt(5y)

Step-by-step explanation:

3sqrt(10) * (2y^2 + 2sqrt(2y)

= 6y^2sqrt(10) + 6sqrt(20y)

= 6y^2sqrt(10) + 12sqrt(5y)

What number is 20% of 40?

Answers

Answer:

It would be 8

Step-by-step explanation:

20% of 40 is 8

Answer:

8

Step-by-step explanation:

this is correct, i think, sorry if it's not.

ty :9

round 8.456 to the nearest tenth

Answers

Answer:

It's 8.46 cause the preceding digit to 4=5

Hope it helps

Have a good day

Answer:

8.456 rounded to the nearest tenth = 8.5

Step-by-step explanation:

To round 8.456 to the nearest tenth consider the hundredths’ value of 8.456, which is 5 and equal or more than 5. Therefore, the tenths value of 8.456 increases by 1 to 5.

duo makes 65% of his dumplings vegetarian fillings. what fraction have vegetarian fillings?​

Answers

Answer:

65/100 or 13/20

Step-by-step explanation:

duh

Answer:

65/100

Step-by-step explanation:

65% equals 65 out of 100

Image shown below.,, brainly says it's inappropriate when i type out the question..

Answers

Answer:

Step-by-step explanation:

f(0) = ab^0 = 5

a = 5

f(1) = 5b^1 = 8

b = 8/5

f(x) = 5(8/5)^x

Amy has the cards below:
3, 4, 5, 6, 7, 8
Select the letter that matches the probability of the dice landing on 3:
(diagram in the image attached).

Answers

Answer:

B (1/6)

Step-by-step explanation:

The cards she draws doesn't affect what number the dice lands on.  1 every 6 times on average the dice lands on 6 so there is a 1/6 probability represented by B.

Solve for x
8x+1>−31

Answers

[tex]8x + 1 > - 31 \\ 8x > - 1 - 31 \\ 8x > - 32 \\ x > \frac{ - 32}{8} \\ x > - 4[/tex]

Other Questions
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