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mr Goodwill [35]
3 years ago
9

A hiker leaves her camp in the morning. She walks 9 miles west then 10 miles north. Explain how you would find how far she has t

raveled from her camp.
Mathematics
1 answer:
aniked [119]3 years ago
4 0

Answer:

About 13.45 miles ( rounded )

Step-by-step explanation:

You would use the pythagorean theorem to solve this. (a^{2}+ b^{2} = c^{2})

a^{2} would be one length of that triangle, we'll use 9.

b^{2} would be the other length of that triangle, we'll use 10.

So, now you have to square both of them.

9^{2} = 81 ( 9 x 9 )  10^{2} = 100 ( 10 x 10 )

Which you will get 81 and 100. Then you add those two numbers together.

100 + 81 = 181

Now that you have 181, you have to square root 181.

\sqrt{181}

With that you should get 13.45 miles. (rounded)

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Factoring Quadratics - Please help; will mark Brainliest!
rosijanka [135]

Answer:

1) x = -1 or x = -10 (either of them are both correct)

2) x = 3 or x = -5

Step-by-step explanation:

Let's solve your equation step-by-step.

x2 + 11x + 10 =0

Step 1: Factor left side of equation.

(x + 1)(x + 10) = 0

Step 2: Set factors equal to 0.

x + 1 = 0 or x +10 = 0

x = −1 or x = −10

Answer:

x = −1 or x = −10

2x^2 + 4x − 30 = 0

Answer:

x = 3 or x = −5

5 0
3 years ago
25 students in a class each bring in one pund of unpopped popcorn an average ear of corn has 400 kernels it takes 1,300 kernels
REY [17]
Since each student brings in 1 pound of unpopped popcorn...then there will be 25 pounds of corn! Since there are 1300 kernels to make a pound, you multiply 25 by 1300 = <span>32500, which is how many kernels. If every child brought 3 pounds: You would have to solve 25 * 3 = 75 pounds. Hope this helps!</span>
5 0
3 years ago
A local sporting event charges $6 for each adult ticket and $3.50 for each child ticket. If the stadium sold a total of 65 adult
tatyana61 [14]
45 adult tickets were sold.

adult tickets = a
childrens tickets = b

a + b = 65
6a + 3.5b = 340

Subtract a from the equation on top to get b = 65 - a
Substitute into the second equation 6a + 3.5(65 - a) = 340
Simplify to make 6a + 227.5 - 3.5a = 340
6a - 3.5a = 340 - 227.5
Combine like terms so that 2.5a = 112.5
Divide both sides by 2.5 to isolate the variable a

Your final answer is a = 45
7 0
3 years ago
Each time Caroline goes shopping she decides whether or not to buy fruit.
Katen [24]

Answer:

this probability is 0.68

Step-by-step explanation:

the probability she buys fruit but not a CD is

0.6 × (1 - 0.2) = 0.48

the probability she buys a CD by not fruit is

0.2 × (1 - 0.6) = 0.08

the probability that she buys both is

0.6 × 0.2 = 0.12

the probability that she buys fruit or a CD or both is adding all 3 probabilities :

0.48 + 0.08 + 0.12 = 0.68

7 0
3 years ago
Write a two-step equation and solve.
tiny-mole [99]

Step-by-step explanation:

1) let the number=x

six times a number=6x

Condition:

6x+4=22

2) eleven times a number=11x

Condition:

11x-5=50

3) nine times a number=9x

Cindition:

9x-7=-16

3 0
3 years ago
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