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timurjin [86]
2 years ago
7

A manhole measures 3' 4" in diameter. What is the area of a metal cover for the manhole, assuming a one-inch overhang around the

circumference of the cover?

Mathematics
1 answer:
Natasha_Volkova [10]2 years ago
8 0
I drew the entire problem. The final answer would be 441pi in²

I highly advise you to look at how it could work by looking at the drawing. Hope this helps :)

The blue line is the 1 inch overhang, and I add two the the diameter to get the full diameter including the overhang

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a trapezoid has base lengths of 6 and 15 centimeters with an area of 136.5 square centimeters. What is the height of the trapezo
MrRa [10]
•*Ok first let me show you the formula for the Area of the trapezoid.
A=a+b/2 h.(I will be using the letter x for the multiplication sign)
 
*And here is the formula to find the height of a trapezoid
h=2 x A/a+b (2 times the Area over base "a" plus base "b")


*We need to plug in the numbers: h = 2 x 136.5/6+15
*Next, we add the two bases to get 21: 6+15=21 (h=2 x 136.5)  
*Then, divide the total of the two bases (21) from the area to get 6.5: 136.5/21-6.5
*Finally we multiply 2 by 6.5: 2 x 6.5= 13
The height if this trapezoid is 13.

Hope this helps you ☺
3 0
3 years ago
¿Qué es y para que nos sirve la jerarquía de operaciones en la vida cotidiana?
Nataliya [291]

for example, si te pones los zapatos antes que los pantalones, te costará mucho vestirte

8 0
3 years ago
There are 6 red marbles 4 blue marbles to yellow marbles. Sabrina picks 2 marbles without putting the first one back what is the
Yanka [14]

Answer:

P = 3/11

Step-by-step explanation:

There are:

6 red marbles

4 blue marbles

2 yellow marbles.

So there are a total of 12 marbles in the bag, such that each one has the same probability of being randomly picked.

We want to find the probability that the first pick is not yellow (so it can be either blue or red), and the second pick is a blue marble.

Now there are two cases.

The first marble is red and the second blue

the first marble is blue and the second blue

We need to find the probability in each case.

The probability that the first marble is red is equal to the quotient between the number of red marbles (6) and the total number of marbles (12)

p = 6/12

Now, for the second draw, we need a blue marble, the probability in this case is the quotient between the number of blue marbles (4) and the total number of marbles in the bag (now there are 11, because one is already taken)

q = 4/11

The joint probability is equal to the product of the individual probabilities, then:

P₁ = p*q = (6/12)*(4/11) = 2/11

And for the other case, we draw two blue marbles:

For the first draw, the probability is:

p = 4/12

And for the second draw, now there are 3 blue marbles and 11 total marbles, then the probability is:

q = 3/11

The joint probability is:

P₂ = (4/12)*(3/11) = 1/11

The total probability is then:

P = P₁ + P₂ = 2/11 + 1/11 = 3/11

4 0
3 years ago
I don't understand this question at all please help if you do
lorasvet [3.4K]

Answer:

Answer is \frac{4}{3}

Step-by-step explanation:

To find the interval of x. Use our equations to equal each other.

-x^2+2x=y,y=0

-x^2+2x=0\\-x(x-2)=0\\-x=0 , (x-2)=0\\x=0 ,2

\int\limits^2_0 {-x^2+2x} \, dx

Integrate.

\frac{-x^3}{3}+x^2\\(\frac{-2^3}{3}+2^2)-[\frac{-0^3}{3}+0^2]\\-\frac{8}{3} +4-0\\-\frac{8}{3}+\frac{12}{3}  =4/3

Using Desmos I have Graphs of both of the equations you have provided. The problem asks us to find the shaded region between those curves/equations.

Proof Check your interval of x.

7 0
2 years ago
Answer for number 1?
Rufina [12.5K]

Answer:

you  need to draw a triangle on the grid

Step-by-step explanation:

find point -3 then 7

then find points -2 and 1

then -5 and 2

then join the points together

hope that helps

pls mark brainliest

8 0
2 years ago
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