The spoke of a wheel reaches from the center of the wheel to its rim. If the circumference of the rim of the wheel is 27 inches, how long is each spoke? Round your answer to the nearest hundredth.

Answers

Answer 1

Answer: Each spoke is 4.3 inches long.

Since the spoke is from the center of the wheel to its rim, we are looking for the radius of the circle.

Circumference = 2πr
27 = 2(3.14) r
27 = 6.28 r
27/6.28 = 6.28r/6.28
4.30 = r

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Please help in 12-15-18

Answers

12)

5 x + 4 y = 10

4 y = 10 - 5 x

y = 10 - 5 x / 4
_______________________________

15)

14 = 7 y - 6 x

7 y = 14 + 6 x

y = 14 + 6x / 7
__________________________________

18)

3 + 6 x = 11 - 4 y

- 4 y = 11 - 3 + 6 x

- 4 y = 8 + 6 x

y = 1 / 4 ( 8 - 6 x )

_____________________________________

hope this helps!

What you do is write down the original problem so you don't forget it then:
PROBLEM 12
5x+4y=10
Subtract 5x from each side which equals-
4y=10-5x which also equals 4y=-5x+10
Divide 4y by 4 as well as the other numbers
y=-5x/4+10/4
y=-5x/4+2 1/2

PROBLEM 15
14=7y-6x
Add -6x to each side
14+6x=7y
7y=6x+14
Divide 7y by 7 as well as the other numbers
y=6x/7+14/7
y=6x/7+2

PROBLEM 18
3+6x=11-4y
Subtract 3 from both sides
6x=8-4y
Subtract 8 from each side
6x-8=-4y
Divide -4y by -4 as well as the other numbers
6x/-4+-8/-4=y
6x/-4+2=y
y=6x/-4+2

There you go! Just ask if you have questions!

Need to find common denominators for 58/2.9 and 58/5

Answers

The smallest common denominator is 2.9 x 5 = 14.5

The smallest common denominator would be 5 times 2.9 which is 14.5

If an object is dropped from a height of 144 feet, the function h(t) = -16t2 + 144 gives the height of the object after t seconds. When will the object hit the ground? A) 9 seconds

B) 6 seconds

C) 1.5 seconds

D) 3 seconds

Answers

So this question is asking for the zeros, or the x-intercepts, of this equation. For this, we have to set h(t) to zero to solve for it.

For this, we will be using the quadratic formula, which is $x=(-b+√(b^2-4ac))/(2a),(-b-√(b^2-4ac))/(2a)$ (a = t^2 coefficient, b = t coefficient, and c = constant). In this case, our equation is $t=(-0+√(0^2-4*(-16)*144))/(2*(-16)),(-0-√(0^2-4*(-16)*144))/(2*(-16))$ . From here we can solve for t.

Firstly, solve the exponents and multiplications: $t=(-0+√(0+9216))/(-32),(-0-√(0+9216))/(-32)$
Next, solve the additions and subtractions: $t=(√(9216))/(-32),(-√(9216))/(-32)$
Next, square root 9216: $t=(96)/(-32),(-96)/(-32)$
Lastly, divide and your answers are going to be $t=-3,3$

Since we cannot have negative time,the object hits the ground at 3 seconds, or D.

Farmer John looks out on his farm. One pen has chickens and pigs. John counted 12 heads and 34 legs. How many of each animal did he see? EXPLAIN your reasoning. I DO WANT YOU TO EXPLAIN AND ANSWER QUICKLY PLEASE

Answers

34 legs and 12 heads

Chicken has 2 legs and Pig has 4 legs, both got one head

7 chicken heads, 7 x 2= 14 chicken legs

5 pig heads, 5 x 4= 20 pig legs

7 chicken heads + 5 pig heads = 12 heads

14 chicken legs + 20 pig legs = 34 legs

Answer: He saw 7 chickens and 5 pigs

Find the least common multiple of x3 - x2 + x - 1 and x2 - 1. Write the answer in factored form.A. (x + 1)^2(x - 1)

Answers

$(x^3-x^2+x-1)(x^2-1)$

$x^5-x^3-x^4+x^2+x^3-x-x^2+1$

$x^5-x^4-x+1$

$x^4(x-1)-(x-1)$

$(x^4-1)(x-1)$

Solve for x. 5(x−2 2/5)=−5.2 Enter your answer as a decimal or simplified mixed number in the box. x =

Answers

Answer:

x = 1.36

Step-by-step explanation:

Final answer:

To solve the equation '5(x-2 2/5)=-5.2', distribute the 5 across the (x-2 2/5) term, add 11 to each side, then divide by 5. This gives us x = 1.16.

Explanation:

The question is asking us to solve the equation 5(x-2 2/5)=-5.2 for x. To do this, we follow several steps:

First, we distribute the 5 across the (x-2 2/5) term. This gives us: 5x - 11 = -5.2
Next, add 11 to both sides of the equation in order to get the x term alone. This results in 5x = -5.2 + 11, which simplifies to 5x = 5.8
Lastly, we divide each side of the equation by 5 to solve for x. This leaves us with x = 5.8/5 = 1.16

Hence the solution to the equation is x = 1.16.

Learn more about Solving Equations here:

brainly.com/question/18322830

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