Keith needs to build a bridge to go across a pond. He has been able to collect the following measurements. About how long does this bridge need to be​

Keith Needs To Build A Bridge To Go Across A Pond. He Has Been Able To Collect The Following Measurements.

Answers

Answer 1

Answer:

[tex]\Huge\boxed{11.9}[/tex]

Step-by-step explanation:

Hello There!

Basic Concepts

Geometry

Once again we are going to need to use trigonometric ratios to solve for a missing side length (the length of the bridge)

Here are the trigonometric ratios

Sine - Opposite over Hypotenuse

Cosine - Adjacent over Hypotenuse

Tangent - Opposite over Adjacent

For the angle that has a measure of 50 degrees

we are given its adjacent side length and we need to find its opposite

When working with the opposite side length and adjacent side length we use the trigonometric ratio tangent

Knowing which trigonometric ratio we are going to use we have to create an equation

Remember tan = opposite over adjacent

So we plug in the given information and solve for the missing information ( In this case the opposite side length)

[tex]tan(50)=\frac{x}{10}[/tex]

Basic Algebra

Now we solve for x

Like always we want to isolate the variable

First we want to get rid of the 10

x is being divided by 10 and the inverse of division is multiplication

So we multiply each side by 10

[tex]tan50*10=10tan50\\\frac{x}{10} *10=x\\[/tex]

now we have

[tex]10tan50=x\\[/tex]

finally we plug in 10tan50 into a calculator to get the value of x

we get that x = 11.91753594

Our last step is to round to the nearest tenth

We can conclude that the answer is 11.9

Answer 2

The bridge needs to be 11.92 feet long by calculating the tangent of the given angle.

What is tangent of an angle?

Tangent of an angle in a right-angled triangle is the ratio of the height to the base of the triangle.

Let, the bridge is x ft. long.

Therefore, tan 50° = [tex]\frac{x}{10}[/tex].

⇒ x = 10 × tan 50°

⇒ x = 10 × 1.192

⇒ x = 11.92

Therefore, the bridge is 11.92 ft. long.

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Related Questions


Help me out please?

Answers

Answer:

perpendicualr

Step-by-step explanation:

Answer:

Perpendicular

Explanation:

Look at picture, Throw a ball in the air and create a function models to show the trajectory the variable x represents time in seconds after the ball was thrown

Answers

Answer:

Mark's Ball is thrown from a greater height off the ground. Roberto's ball reaches a greater maximum height.

Step-by-step explanation:

I took the test.

Plz help me out !!!!!!

Answers

Answer:

There are 1,679,616 ways to answer the test

Step-by-step explanation:

Here, we want to get the number of ways to answer the test

From the question, we have that there are 8 questions, with each having 6 possible answers

Hence, the total number of answers to pick from is 8 * 6 = 48

We are to pick 6 out of this total 48, with 1 option per question

So in the first, we are picking 1 out of 6

The number of ways here is;

6 C 1 = 6 ways

The next, we have 6 ways also , up to the 8th question

So, the total number of ways will be;

6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 = 6^8 =

1,679,616

Find the surface area of a basketball with a diameter of 10 in.

25π in²

10π in²

100π in²

400π in²

Answers

Answer:

100π in²

Step-by-step explanation:

i just took the test :)

The surface area of the ball is 100π square inches. The correct option is C.

How to calculate the surface area of a sphere?

The formula for the surface area of a sphere is:

Surface Area = 4πr²

Where r is the radius of the sphere.

Since the basketball has a diameter of 10 in, the radius is half of that, which is 5 in.

Substituting the radius into the formula, we get:

Surface Area = 4π(5²)

Surface Area = 4π(25)

Surface Area = 100π

Therefore, the surface area of the basketball is 100π in².

So the surface area is 100π in².

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4. Find the measure of arc WXY.

Answers

Answer:

200

Step-by-step explanation:this problem is actually very simple. a circle and a max measure of 360 so all you do is subtract 160 from 360 and there you go.     :)

What's the answer to this? ​

Answers

51/16 ................

Answer:

The answer to this equation is 3 3/16

Step-by-step explanation:


HELPPPPP ME PLEASEEEE I am on a MATH TEST

Answers

Answer:

Step-by-step explanation

Sucks to be you

Determine the value of each unknown angles.

HELP PLEASE DO ANY! I’ll give you brilliance

Answers

For D:

A triangle always has 180 degrees total. No more, no less. Seeing as though all the sides and angles are the same length, we can just divide 180 by 3, giving us 60. x = 60 degrees.

For E:

We can see there is a 90 degree symbol that surmises both angles. We know the lower angle is 30 degrees, so m must equal 60 degrees.

For G:

Same concept as D, except we gotta do a bit of math. A triangle always has 180 degrees, So we add 50 and 55 together and get 105. Subtract 105 from 180 and we get 75. Therefore, your angle is 75 degrees.

For H:

The 75 degree angle and m are parallel, with the same line passing through it, meaning that m is identical to the other angle. m = 75.

Answer:

d) x = 60

e) m = 60

g) q = 75

h) m = 75

Step-by-step explanation:

d) This image is that of an equilateral triangle, or a triangle whose sides are all equal (also known as a regular triangle). One property of an equilateral triangle is that all of its angles are also equal. Because the angles of a triangle add up to 180° (Triangle Sum Theorem), each angle would be 180/3°, or 60°, so x = 60.

e) This problem shows two complementary angles. Complementary angles are two angles that add up to 90°. Because one of the angles is given, you can find the other by subtracting the given one from 90°:

   m = 90 - 30

   m = 60

g) This is an image of a triangle with two given angles and the missing one is the third angle, q. You can solve for q using the Triangle Sum Theorem, which states that the three interior angles of a triangle add to 180°:

   50 + 55 + q = 180

   105 + q = 180

   q = 75

h) This image shows two parallel lines cut by a transversal. You can find m using the Corresponding Angles Theorem, which states that if parallel lines are cut by a transversal, the corresponding angles will be congruent. Because the lines are parallel, you know that m = 75 since the 75° angle is its corresponding angle.

What is the best first step to solve the following quadratic equation?

16x2 + 38 = -40x

A
Add 40x to both sides.

B
Factor the right side.

C
Take the square root of both sides.

D
Multiply 16 by 38 and list the factors.

Answers

Answer:

a

Step-by-step explanation:

A which is add 40x to both sides wich is A

50 point! Someone please help! I will mark brainliest!

Answers

Answer:

4. AC = 36

5. m<UTW = 42

Step-by-step explanation:

4.

AB = BC

-x + 25 = 3(2x - 8)

-x + 25 = 6x - 24

-7x = -49

x = 7

AC = 2(-x + 25) = 2(-7 + 25) = 2(18) = 36

AC = 36

5.

2x + 3 = 5x - 24

-3x = -27

x = 9

m<UTW = 2m<UTV = 2(2x + 3) = 2[2(9) + 3] = 2(21) = 42

m<UTW = 42

A 2025633
1)(a)(a)
3(3)(5)(5)(a(a)
Which expressions listed on the left are equivalen
36a8? Check all that apply. (Assume that a 7 0.
22502
B
466
25
D A
13
C.
25
B.
DES
В С
E
3 D
Е Е

Answers

Answer:

if I'm not mistaken I think your answer will be B

The equivalent expressions for [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex] are A, B and E.

What is Square Root?

Square root of a number is the value such that the value when multiplied to itself two times gives the original number.

It is denoted by the symbol √.

Given expression is [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex].

There are five expressions in the left.

A. [tex]\sqrt{\frac{2(2)(3)(3)(a)(a)(a)(a)(a)(a)(a)(a)}{3(3)(5)(5)(a)(a)} }[/tex]

Here we have to multiply the terms in the numerator as well as in the denominator.

2(2)(3)(3) = 36 and 3(3)(5)(5) = 225

So this expression is equivalent to the given  [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex].

B. [tex]\sqrt{\frac{4a^6}{25} }[/tex]

We know that, greatest common factor of 36 and 225 is 9.

36/9 = 4 and 225 / 9 = 25

Also a⁸ / a² = a⁸⁻² = a⁶

So this is also an equivalent expression.

C. [tex]\frac{6}{25} \sqrt{ \frac{a^8}{a^2} }[/tex]

This is not equivalent since √225 = 15, not 25.

D. [tex]\frac{6}{15} a^4[/tex]

This is also not equivalent since  [tex]\sqrt{ \frac{a^8}{a^2} }[/tex] = [tex]\sqrt{a^6}[/tex] = a³, not a⁴.

E. [tex]\frac{2}{5} a^3[/tex]

This is equivalent expression since √36 = 6 and √225 = 15.

[tex]\sqrt{\frac{36a^8}{225a^2} }[/tex] = [tex]\frac{6}{15}[/tex] [tex]\sqrt{ \frac{a^8}{a^2} }[/tex] = [tex]\frac{2}{5}[/tex] [tex]\sqrt{a^6}[/tex] = [tex]\frac{2}{5} a^3[/tex]

Hence the equivalent expressions are A, B and E.

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Your question is confusing. The image of the question is attached below.

i need help pls..........

Answers

Answer:

a 14.3

Step-by-step explanation:

23 divided by 4 is 14.3

hshsvsjsn svshsismsnsbs​

Answers

Answer:

C. 5.44

Step-by-step explanation:

(0.24) divided by 6/10

Answers

Answer:

0.4

Darling, all you need to do is, factor the numerator and denominator and cancel the common factors, and you'll get the answer 0.4.

find 5 rational numbers between 1 and 2

Answers

Answer:

Five rational numbers between 1 and 2 are 11/10, 12/10, 13/10, 14/10, and 15/10.

Answer:

Five rational numbers between 1 and 2 are 11/10, 12/10, 13/10, 14/10, and 15/10.

Step-by-step explanation:

Hope this helps!

1/2x - 7 = 1/3 (x- 12)

Answers

Answer:

x = 18

Step-by-step explanation:

1/2x - 7 = 1/3 (x- 12)

Multiply both sides by 3

3 * 1/2x - 3 * 7 = 3 * 1/3 (x - 12)

3/2x - 21 = x - 12

Collect like terms

3/2x - x = 21 - 12

1/2x = 9

Multiply both sides by 2

x = 2 * 9

x = 18

Answer:

x = 18

hope this helps! :)

YALL HELP!!! YALL HELP!!! YALL HELP!!! YALL HELP!!! YALL HELP!!!

Answers

Answer:

Reflection

Step-by-step explanation:

(x, y) --> (x, -y) is a reflection over the x-axis

It’s reflection. Once u see the same numbers with little change like that it will be reflection

Help this is the question pls help I need your help answer correctly
23 pts

Answers

Answer:

[tex]3/8* 16 \\3*2\\6[/tex]

Step-by-step explanation:

Thus the mileage of water for this vehicle is 6 miles per gallon.

A certain pipe can be used to fill a pool with water in 2 hours. A second pipe can be used to fill the pool in 4 hours. How long does it take to fill the pool when both pipes are used at the same time?​

Answers

Answer:

1 1/3 hours

Step-by-step explanation:

Pipe 1 alone:

fills the pool in 2 hours

in 1 hour, it fills 1/2 of the pool

Pipe 2 alone:

fills the pool in 4 hours

in 1 hour, it fills 1/4 of the pool

Pipe 1 and Pipe 2 working together:

fill the pool in x hours

in 1 hour, they fill 1/x of the pool

Working together, in 1 hour the two pipes fill 1/2 + 1/4 of the pool.

Working together, in 1 hour the two pipes fill 1/x of the pool.

Therefore,

1/2 + 1/4 = 1/x

2/4 + 1/4 = 1/x

3/4 = 1/x

x = 4/3

x = 1 1/3

Answer: 1 1/3 hours

Find the triangles area drawing not to scale.

Answers

Answer:

35 lol

Step-by-step explanation:

a = b*h/2

a = 10*7/2

a = 70/2

a = 35 lol

Identify the pattern for the following sequence. Find the next three terms in the sequence.

-1, 3, -9, 27, ____, ____, ____,...
a.
Multiply by 3; 81, 243, 729
b.
Multiply by -3; -81, 243, -729
c.
Multiply by -3; 81, 243, 729
d.
Multiply by 3; -81, -243, -729


Please select the best answer from the choices provided

A
B
C
D

Answers

B) multiply by (-3); -81, 243, -729

Answer:

b

Step-by-step explanation:

edge 2021

PLEASE help me. This is due today

Answers

Answer:

negative linear

Step-by-step explanation:

Answer:

A. A negative linear association

Step-by-step explanation:

The points are close enough for a line of best fit, therefore they are linearly associated and they are going down so it is negative association.

what is polynomail area​

Answers

Answer:

2x²-8 if it doesnt give you x=   if it gives you an x= then comment it and ill work it out.

Step-by-step explanation:

it was pretty simple

Write the name of each decimal place indicated( pls help I’m failing and don’t troll I’ll give Brianliest)

Answers

Answer:

3. A. ten thousandths

4. C. tenths

5. D. hundredths

6. C. ten thousandths

hope you have a blessed day

Step-by-step explanation:

Answer:Question 3 answer is A.

Question 4 answer is C

Question 5 answer is D

Question 6 answer is C

YOUR WELCOME

can someone please help me with this? (i will mark brainliest) (LMNP is rotated 180 degrees clockwise around the origin. what are the coordinates of L?)

Answers

Answer:

L's coordinates would go from being (x,y) to (-x, -y)

Step-by-step explanation:

So like, if L's coordinates were (5, 7) after rotation it would be (-5, -7)

If you were working backward and with L' being rotated you would do (-5, -7) change the sign and do (5,7) for L

Consenquently if you had a negative to begin with- L (-3, -4) L' would be the opposite sign and be (3,4)

What is the CORRECT answer?

Answers

Answer:

Step-by-step explanation:

Givens

r = 5

h = 30

Formula

SA = 2*pi*r^2 + 2pi*r*h

Solution

SA = 2*3.14 *5^2 + 2*3.14 * 5* 30

SA = 50*3.14 + 300*3.14

SA = 157 + 942

SA = 1099 square inches.

what is the exact value of cos5pie/12

Answers

Answer:

Exact Form: −e12

Decimal Form: −0.22652348…

Step-by-step explanation:

Urgent: Find value of X

Answers

Answer:

x=44 degrees

Step-by-step explanation:

A line = 180 degrees

Given degrees: 136

180-136= 44

yes x=44 because it is a straight line that equals 180

Tentukan nilai limit x->3 x2-9/x-3

Answers

Answer:

6

Step-by-step explanation:

Factor the numerator, difference of squares

[tex]\frac{(x-3)(x+3)}{x-3}[/tex] ( cancel x- 3 on numerator/ denominator )

= x + 3

limit as x → 3 = 3 + 3 = 6

Select all expressions that are equivalent to 2x+3x+8-3x-2.
Select all that apply
2x + 6
2x + 10
O O O O
5x - 3x + 6
5x - 3x + 10

Answers

Answer:

2x + 6

Step-by-step explanation:

Solve for x: 2x+3x-3x = 2x

Solve numbers without the variable: 8-2 = 6

combined together: 2x + 6

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