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​

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! :)

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.

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

Answer:

a 14.3

Step-by-step explanation:

23 divided by 4 is 14.3

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.

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.

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.

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.

Learn more about Expressions here :

https://brainly.com/question/28170201

#SPJ7

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

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.

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)

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

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.

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.

To know more about surface area of the sphere follow

https://brainly.com/question/14692728

#SPJ3

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

Answer:

perpendicualr

Step-by-step explanation:

Answer:

35 lol

Step-by-step explanation:

a = b*h/2

a = 10*7/2

a = 70/2

a = 35 lol

Answer:

x=44 degrees

Step-by-step explanation:

A line = 180 degrees

Given degrees: 136

180-136= 44

Answer:

Step-by-step explanation

Sucks to be you

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!

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.     :)

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.

Answer:

b

Step-by-step explanation:

edge 2021

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

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

Answer:

The answer to this equation is 3 3/16

Step-by-step explanation:

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

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

Answer:

C. 5.44

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

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

Answer:

Reflection

Step-by-step explanation:

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

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.

Answer:

Exact Form: −e12

Decimal Form: −0.22652348…

Step-by-step explanation: