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3 years ago

What is the length of the hypotenuse? (giving brainliest and thanks to all!)

Mathematics

1 answer:

leonid [27]3 years ago

8 0

Answer:

Step-by-step explanation:

take 45 degree as reference angle

using sin rule

sin 45=opposite/hypotenuse

1/ $\sqrt{2$ =13/hypotenuse

hypotenuse=13/ $\sqrt{2$

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Mark runs back and forth on a football field for a total of 3000 yards. How many miles did Mark run to the nearest tenth of a mi

gizmo_the_mogwai [7]

Answer:

1.7 miles.

Step-by-step explanation:

We have been given that Mark runs back and forth on a football field for a total of 3000 yards.

Since we know that 1 mile equals to 1760 yards. To find the number of miles Mark ran we will divide 3000 yards by number of yards in one mile (1760).

$\text{ Mark ran}=\frac{3000\text{ yards}}{1760\frac{\text{yards}}{\text{mile}}}$

$\text{ Mark ran}=\frac{3000\text{ yards}}{1760}\times \frac{\text{miles}}{\ext{yards}}$

After cancelling out yards from numerator and denominator we will get,

$\text{ Mark ran}=\frac{3000}{1760} \text { miles}}$

$\text{ Mark ran}=1.7045454545454545\text{ miles}}\approx 1.7\text { miles}}$

Therefore, Mark ran 1.7 miles on the football field.

5 0

3 years ago

Read 2 more answers

What is the value of g(−3) when g(x)=2x−2 ?

nikdorinn [45]

For these types of problems, plug the value inside the ( ) into the (x) of the equation.
g (-3), g (x) = 2x-2
g (x) = 2 (-3) - 2 = -6 - 2 = -8
g (-3) = -8

3 0

3 years ago

Read 2 more answers

Two families went to the event. The first family bought two children's tickets and one adult ticket and paid a total of 8.2 euro

blagie [28]

Answer:

Step-by-step explanation:

step a system of two equations c = child ticket a = adult ticket

eq 1) 2c + 1a = 8.2 multiply by 2

eq 2) 3c + 2a = 14.1

I will multiply eq 1 times TWO and subtract eq 2 from eq 1a)

eq 1a) 4c + 2a = 16.4

eq 2) 3c + 2a = 14.1

subtract (4c - 3c) + (2a -2a) = 16.4 - 14.1

c + 0 = 2.3 euros for one child ticket

Now find the adult ticket price, plug 2.3 for c into eq 1)

eq 1) 2c + 1a = 8.2

eq 1) 2(2.3) + 1a = 8.2 solve for a

4.6 + a = 8.2 substract 4.6 from both sides

a = 8.2 - 4.6

= 3.6 euros for one adult ticket

double check using eq 2) we know c and a values

eq 2) 3c + 2a = 14.1

eq 2) 3(2.3) + 2(3.6) = 14.1

6.9 + 7.2 = 14.1

14.1 = 14.1

5 0

3 years ago

tyra has 12 2/3 cups of sugar. if r is the amount of sugar needed for one batch of cookies, the expression 12 2/3 ÷ r can be use

olga nikolaevna [1]

ANSWER

She can make 19 batches of oatmeal.

EXPLANATION

First we can change the mixed number into an improper fraction:

$12\frac{2}{3}=12+\frac{2}{3}=\frac{12\cdot3}{3}+\frac{2}{3}=\frac{36}{3}+\frac{2}{3}=\frac{38}{3}$

In this problem, r = 2/3. The division is:

$12\frac{2}{3}\div r=\frac{38}{3}\div\frac{2}{3}$

Using the KFC rule:

$\frac{38}{3}\div\frac{2}{3}=\frac{38}{3}\times\frac{3}{2}$

Solving we can see that the denominator of the first fraction can be simpliied with the numerator of the second fraction:

$\frac{38}{3}\times\frac{3}{2}=\frac{38}{1}\times\frac{1}{2}=\frac{38}{2}=19$

Tyra can make 19 batches of oatmeal with 12 2/3 cups of sugar.

6 0

1 year ago

B. 40 is 160% of what number?

Anton [14]

Answer:

Step-by-step explanation:

the question basically translates to

160% x n =40

a little trick with percents I use is that the word "of" always means multiplication.

n=40/160%=25

6 0

3 years ago