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Lesechka [4]
3 years ago
13

What is 1/4 of a 100 yard by 60 yard field

Mathematics
1 answer:
Tema [17]3 years ago
8 0
Ok, im not going to answer it, but I'm gonna tell you what you need to do to get the answer, first, multiply 100 with 60, then take a quarter out, this is a very simple way to do it, and most people just overthink things.
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Solve for x then find the measure of angle A
KonstantinChe [14]

Answer:

x = 18°, ∠A = 110°

Explanation:

As the lines are parallel, their sums of total interior angle is 180°

∠A + ∠B = 180°

5x +20° +9x-92° = 180°

14x -72° = 180°

14x = 180° + 72°

14x = 252°

x = 18°

Solve for angle A:

∠A = 5x +20°

∠A = 5(18) +20

∠A = 110°

4 0
2 years ago
Read 2 more answers
Simplify this problem. |3r−15| if r<5
enot [183]

Answer:

We have the problem:

|3r−15| if r<5

First we see the equality, if r = 5 we have:

I3r - 15I = I3*5 - 15I = I0I = 0.

Then the only restriction that we have is:

I3r - 15I > 0.

now, we could simplify it a bit further:

if r < 5, then the thing inside the absolute value will always be negative:

Then we can write:

I3*r - 15I = -(3*r -15) > 0

multiplying by -1 in both sides

(3r - 15) < 0.

if we keep simplifying this, we will get our initial restriction:

3r - 15 < 0

3r < 15

r < 15/3 = 5

r < 5

8 0
3 years ago
A father and his son can clean the house together in 9 hours. When the son works​ alone, it takes him an hour longer to clean th
leonid [27]

Answer:

It will take the son 18.55 hours

Step-by-step explanation:

It takes 9 hours for the father and son to clean the house if they work together. This means that their unit rate of working together will be 1/9

When the son works​ alone, it takes him an hour longer to clean than it takes his dad alone.

Let x = the time it takes the father to clean the house. This means that it takes the son (x+1) hours to clean the house alone.

The unit rate if working of the son will be 1/+1

The unit rate of working of the father will be 1/x

Since they are working simultaneously, their unit rates are additive. Therefore

1/(x+1) + 1/x = 1/9

(x + x + 1)/x(x+1) = 1/9

(2x+1)/(x^2 + x)= 1/9

18x + 9 = x^2 + x

x^2 + x - 18x-9

x°2 - 17x - 9 = 0

Applying the general formula for quadratic equations,

x = [-b+-√b^2-4ac)]/2a

x =[ - -17 +-√-17^2-4(2×1)]/2×1

x = (17+-18.03)/2

x = (17 + 18.03)/2 or x = (17 - 18.03)/2

x = 17.55 or x = -0.515.

The time cannot be negative so it is 17.55

It takes the father 17.55 hours if he works alone.

It will take the son 17.55 + 1 = 18.55 hours

4 0
3 years ago
What is the solution of -14+x=23
zheka24 [161]
-14+x=23
x=23+14
x=37
The answer would then be x=37
7 0
3 years ago
Read 2 more answers
What are the cordinates for point A?
TEA [102]

Answer:

b im pretty sure

Step-by-step explanation:


3 0
3 years ago
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