Mathematics High School

The bottom edge of a 16-foot long cantilever is given by the equation y = 2Vx, where y is the distance the

bottom edge is from ground height, in feet.

y

(a) What is the value of b, the height of the

cantilever, in feet?

b

T

y=2&x

b) To the nearest tenth of a foot, what is the

thickness, T, of the cantilever at x =6 feet?

Answers

Answer 1

Answer:

[tex](a)\ b = 8[/tex]

[tex](b)\ T = 3.1[/tex]

Step-by-step explanation:

Given

[tex]y = 2\sqrt x[/tex]

See attachment

Solving (a): Find b

At point b, [tex]x = 16[/tex]

So, the value of b is:

[tex]b = 2 * \sqrt{16[/tex]

[tex]b = 2 * 4[/tex]

[tex]b = 8[/tex]

Solving (b): Find T

First, we calculate the value of y at point T

[tex]y = 2\sqrt x[/tex]

At point T, [tex]x = 6[/tex]

So:

[tex]y = 2 * \sqrt 6[/tex]

[tex]y = 2 * 2.45[/tex]

[tex]y = 4.9[/tex]

To calculate T, we subtract the calculated height (y) from the value of b

[tex]T =b - y[/tex]

[tex]T = 8 - 4.9[/tex]

[tex]T = 3.1[/tex]

The Bottom Edge Of A 16-foot Long Cantilever Is Given By The Equation Y = 2Vx, Where Y Is The Distance

Related Questions

How many different outfits can I make with 6 shirts 4 pants and 3 pairs of shoes ?

Answers

Answer:

72

Step-by-step explanation:

(6x4)x3

24x3

72 there you go

a shark dove under water.First he dove 8 5/6 yards below sea level. Then he came up 5 1/2 yards. Finally, he dove 6 1/4 yards deeper. What was the sharks depth then?

A:8 1/2 yards
B:15 1/24 yards
C:8 17/24 yards
D:8 7/12 yards

Answers

I think the answer is A

Answer:

9 7/12

Step-by-step explanation:

you may have mis typed an answer or the answer choice has a typo

8 5/6 - 5 1/2 + 6 1/4 or 8.83333333 - 5.5 + 6.25 = 9.58333333 or 9 7/12

Translate "Five more than a number is twenty-two"
help!!​

Answers

Let n = a number.

Five more than a number means to add.

This becomes n + 5.

The word "is" means equal in math.

Let's put it all together now.

n + 5 = 22

Done!

Answer:

Step-by-step explanation:

First, let's call "a number": n

Then, "five more than" means to add 5 to what follows or:

n+5=22

Solve the simultaneous equations

y – x = 3
y = 7x

Answers

Answer:

x=1/2, y=3 1/2

Step-by-step explanation:

substitute y=7x into y-x=3

7x - x = 3

6x = 3

x=1/2

y=7(1/2)

y=3 1/2

How many solutions does this equation have?

–2 + 2s = –3s + 8

Answers

Answer:

Step-by-step explanation:

-2 + 2s = - 3s + 8

-2 - 8 = - 3s - 2s

-10 = - 5s

-10/-5 = s

2 = s

Answer:

2

Step-by-step explanation:

-2+2s=-3s+8

-2+2s-(-3s)=8

-2+2s+3s=8

-2+5s=8

5s=8-(-2)

5s=8+2

5s=10

s=10/5

s=2

f(x) = 2x2 + 12x + 1
Determine the vertex !

Answers

Answer:

(-3, -17)

Step-by-step explanation:

The best way to find the vertex is to rewrite the given quadratic in vertex form:  y - k = a(x - h)^2.

The given quadratic is f(x) = 2x2 + 12x + 1.  We will focus on the first two terms and "complete the square."  f(x) = 2x2 + 12x + 1 can be rewritten as

f(x) = 2(x^2 + 6x) + 1, which, after completing the square, is

f(x) = 2(x^2 + 6x + 9 - 9) + 1, or

f(x) = 2( (x + 3)^2  - 9 ) + 1, or

f(x) = 2(x + 3)^2 - 17

Comparing this to

f(x) = a(x - h)^2 + k, we see that the vertex is located at (h, k):  (-3, -17)

Please help me the question is in the picture and the answers are one of the below

Answers

40%
explanation: 40% of 75 is 30 and the difference between the two prices is $30
hope that helps!!

DID I GET THESE TWO RIGHT? I WILL MARK YOU BRAINIEST ASAP
1) what is 32% of 50 pounds. the answer i got 16

2) what is 16% of $8?
answer i got was 1.28

Answers

Answer:

1 is 16 and 2 is 1.28

Step-by-step explanation:

you got them correct

A 20-ounce soft drink costs $1.80. A 12-ounce soft drink costs $1.32.

Answers

Answer:

Where do you get this soft drink?

What is the name ?
I need help please

Answers

Answer:

chord

Step-by-step explanation:

PLEASE HELP WILL GIVE BRAINLIEST!!!!!!

Answers

Answer:

15 ⁵⁴ this is he answer

Step-by-step explanation:

Because

15= ⁶×⁹ = 53

Answer:

A=15^-54 is the answer to the question

PLZ HELP QUICK WILL MARK BRAINLIEST

Answers

Answer:

Step-by-step explanation:

12.

the formula for the volume of a cone is V=1/3hπr²

549.5 = 1/3(21)(3.14)(x)^2

549.5 = 7(3.14)(x)^2

549.5 = 21.98(x)^2

549.5 = 21.98(x)^2

divide by 21.98 on both sides

25 = (x)^2

sqrt 25 = sqrt x^2

5 = x

13.

the formula for the volume of a sphere is V=4/3πr^3

v=4/3(3.14)9^3

v=4/3(3.14)729

v=(4.186)729

v=3052.08

14.

the formula for the volume of a sphere is V=4/3πr^3

523=4/3(3.14)r^3

523=4/3(3.14)r^3

523=(4.186)r^3

divide by 4.186 on both sides

124.92=r^3

cube root on both sides

4.998=r

round

5=r

Please mark brainliest this took me a while

The point of tangency is the point where a secant intersects a circle. true or false

Answers

Answer:

False

Step-by-step explanation:

The point of tangency is the point where a tangent intersects a circle.

WORTH 50 POINTS please help

Answers

Answer:

See below.

Step-by-step explanation:

Part A

Function A.

x  y

3  3

5  7

6  9

slope = (9 - 7)/(6 - 5) = 2

y = 2x + b

3 = 2(3) + b

b = -3

y = 2x - 3

Function A is y = 2x - 3

Function B.

(0, 3)

(-5, 0)

slope = (0 - 3)/(-5 - 0) = -3/-5 = 3/5

b = 3

Function B is y = 3/5 x + 3

Function C is 3x + 1

Part B

The rate of change of a linear function is the slope.

Answer:

Function B

Function A

Function C

subtract 4 4/6 - 3 2/9

Answers

Answer:

The answer is 1.4

Step-by-step explanation:

Hope this helps Uwu

once subtracted = 14/3 = 29/9

Please help ASAP I’ll mark you as brainlister

Answers

The correct answer is 300!

4) TRUE OR FALSE: Logarithms and Exponentials are inverses of each other 1 point
if their bases are the same!*
True
False

Answers

Answer:

True

Step-by-step explanation:

Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay.

A hexagon is inscribed in a circle As see in the picture.Find the length of an arc between consecutive vertices. Round to the nearest hundred

Need help homework

Answers

Answer:

The length of the arc between consecutive vertices is:

[tex]S=8.38\: in[/tex]

Step-by-step explanation:

The angle between consecutive vertices is 60°, it is because it forms an equilateral triangle.

Now, the length arc is defined as:

[tex]S=R\theta[/tex]

Where:

R is the radius (R = 8 in)θ is the angle of the arc

We see the angle is in grades, but we need to convert it to radians.

[tex]\theta=\frac{60^{\circ}}{360^{\circ}}(2\pi)[/tex]

[tex]\theta=1.05\: rad[/tex]

Finally, the length of the arc between consecutive vertices will be:

[tex]S=8*1.05[/tex]

[tex]S=8.38\: in[/tex]  

I hope it helps you!

Find the area of the square pyramid represented by this net. 6 cm 4 cm​

Answers

64 cm

(Pls brainliest)

OMG HELP PLS IM PANICKING OMG OMG I GOT A F IN MATH AND I ONLY HAVE 1 DAY TO CHANGE MY GRADE BECAUSE TOMORROW IS THE FINAL REPORT CARD RESULTS AND I DONT WANNA FAIL PLS HELP-

Answers

Answer:

3 tens

2 hundreds

5 thousands

7 thousands

Jake makes nine loads of all the bread. He uses 30 grams of olives in each loaf. He started with 1 kg of olives how many grams of olives does Jake have left

Answers

9514 1404 393

Answer:

  730 grams

Step-by-step explanation:

1 kg is 1000 g.

The amount remaining is ...

  1000 g - 9(30 g) = (1000 -270) g = 730 g

Jake has 730 grams of olives left.

Please please please help me fast

Answers

The answer is A, because if you look, it 55 is the mid range.

Answer:

I would choose A as the right answer

BRAINLIEST PLUS 30 points if correct! NO LINKS OR WILL REPORT

Answers

Answer:

Do the two data sets have approximately the same center? No.

Which data set has the greater spread? The first one.

Step-by-step explanation:

Hope it helps !!:)

(HELP PLEASE)
The legs of a right triangle measure 7 inches and 12 inches.
What is the length, in inches, of the hypotenuse?
(The answer choices are in the picture)

Answers

Answer:

ASnwer is D

Step-by-step explanation:

13.89244 x  13.89244

The table below shows the relationship between the side length of a polygon and its perimeter. Which of the following is the constant of proportionality for this relationship?
A.125
B.8
C.1
D.4

Answers

Answer:

A is the correct answer

Step-by-step explanation:

For which of the funds shown would you pay the most commission on the purchase of 100 shares?
a.
Green Energy
b.
TJH Small-Cap
c.
Upton Group
d.
WHI Health

Answers

Answer:A.Green Energy (took on endgenuity)

question 1) 25of a number is 80. What is 34of the same number?

Answers

Answer:

55 stamps, 24 girls, and 60cm

Step-by-step explanation:

Big Brain

ill mark brainliest, question is attached

Answers

Answer:

y = 10

Step-by-step explanation:

2 (4y - 7) = 66

8y - 14 = 66

8y = 80

y= 10

Find the perimeter and area of this figure. Plz show work

Answers

Answer:

perimeter = 30.56 units

Step-by-step explanation:

perimeter of full circle = 2(4)(3.14) = 25.12

perimeter of semi circle = (25.12)(0.5) = 12.56

perimeter = 12.56 + 10 + 8 = 30.56

Write the following statement in if-then form.

All cats chase mice.

Answers

if cats like playing with mice then they will chase them
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