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kakasveta [241]
3 years ago
9

If the hypotenuse of a right triangle is 26 feet long and one leg is 14 feet longer than the other what is the length of the leg

s .
Mathematics
1 answer:
EastWind [94]3 years ago
4 0

Answer:

b ≈ 22

Step-by-step explanation:

a² + b² = c²

c² = 676

a² = 196

676 - 196 = 480

√480 ≈ 22


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Caleb made $105 mowing lawns and walking dogs, charging the rates shown. If he mowed half as many lawns as dogs walked, how many
Vlada [557]

Question is Incomplete;Complete question is given below;

Caleb made $105 mowing lawns and walking dogs, charging the rates shown. If he mowed half as many lawns as dogs walked, how many lawns did he mow and how many dogs did he walk? $7.50 for walking dogs and $20 for mowing lawns

Answer:

Caleb mowed 3 lawns and walked 10 dogs.

Step-by-step explanation:

Let the number of dogs he walked be 'd'.

Let number of lawn he mowed be 'l'.

Given:

If he mowed half as many lawns as dogs walked

So we can say that;

l=\frac{1}{2}d=0.5d \ \ \ \ equation\ 1

Now given:

Cost for mowing each lawn = $20

Cost for walking each dog = $7.50

Total amount made = $105

Now we can say that;

Total amount made is equal to Cost for mowing each lawn multiplied by number of lawn he mowed and Cost walking each dog multiplied by number of lawn he mowed.

framing in equation form we get;

20l+7.5d=105 \ \ \ \ \ equation \ 2

Substituting equation 1 in equation 2 we get;

20(0.5d)+7.5d=105

Applying distributive property we get;

10d+7.5d=105\\\\17.5d=105

Dividing both side by 17.5 we get;

\frac{17.5d}{17.5}=\frac{105}{17.5}\\\\d= 6

Substituting the value of 'd' in equation 1 we get;

l=0.5d=0.5\times6=3

Hence Caleb mowed 3 lawns and walked 10 dogs.

6 0
2 years ago
WILL MARK BRAINLEST TO THE CORRECT ANSWER (55 POINTS!!!)
nikitadnepr [17]

Answer:

y=20

Step-by-step explanation:

6 0
2 years ago
What is the area of this trapezoid?
babymother [125]

Answer:

20

Step-by-step explanation:

Use the equation \frac{a+b}{2}*h

Where b2 is a, b1 is b and h is h

4 0
3 years ago
Read 2 more answers
A line has a slope of 1 and passes through the point (-8, -7). What is its equation in
AlekseyPX

Answer: y = x + 1

Step-by-step explanation:

y = 1x + c

-7 = 1(-8) + c

-7 = -8 + c

-7 + 8 = c

1 = c

y = 1x + 1 or

y = x + 1

4 0
2 years ago
Read 2 more answers
Mr. Roseanne will buy 12 1/2 pounds beef for for a cookout. The price for the first 3 pounds of beef is $4.99 per pound. After t
Yuri [45]

Answer:

As per the statement:

Mr. Roseanne will buy 12\frac{1}{2} pounds beef for for a cookout.

⇒ Weight of the beef he buy = \frac{25}{2} pounds.

It is given that:

The price for the first 3 pounds of beef is $4.99 per pound.

then;

the price for 3 pounds he will pay= 3 \times 4.99 =\$ 14.97

After that, the price is $4.49 per pound.

Remaining weight of beef left  = \frac{25}{2} -3 = \frac{19}{2} pounds.

then;

the price of \frac{19}{2} pounds he will pay = \frac{19}{2} \times 4.49= \$42.655

now, total money he will pay for the 12\frac{1}{2} pounds beef = 14.97+42.655 = \$57.625

Therefore, $57.625 will Mr. Roseanne pay for the beef


4 0
3 years ago
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