what is the perimeter, in feet (ft), of a right triangle which has an area of 12 ft^2 and one leg that has a length of 4 ft?

Answers

Answer 1

Answer:

           P = (10 + 2√13) ft ≈ 17.21 ft

Step-by-step explanation:

A = 12 ft²     - area of triangle

a = 4 ft, b    - legs of right triangle

c       - hypotenuse (third side of triangle)

A = ¹/₂ ab

12 =  ¹/₂•4•b

12 = 2b

b = 6 ft

from Pythagorean theorem:

a² + b² = c²

4² + 6² = c²

c² = 16 + 36

c = √52 = 2√13 ft

The perimeter:  P = a + b + c

P = 4 + 6 + 2√13 = (10 + 2√13) ft ≈ 10 + 7.21 = 17.21 ft


Related Questions

$36 for 4 pounds of shrimp as a unit rate

Answers

Answer:

$9/ per pound of shrimp

Step-by-step explanation:

Answer: $9  per pound

Step-by-step explanation:

The unit rate is the amount of money per pound of shrimp.

Divide the money by the number shrimp to find the unit rate.

36 / 4 = 9

The unit rate is $9  per pound.

The price of a large can of fancy popcorn is $8.17. Between which two prices is the price of the popcorn?
A. $7.00 and $7.49
B. $7.50 and $7.99
C. $8.00 and $8.49
D. $8.50 and $8.99

Answers

Answer:

$8.00 to $8.49

Step-by-step explanation:

a large can of fancy popcorn is $8.17 which means that $8.17 is not higher or lower of $8.00 or $8.49.

Answer:

C

Step-by-step explanation:

$8.00 is less than $8.17 while $8.49 is more than $8.17 so $8.17 is in the middle of the two numbers

I need help with all of them but 13B you can answer all of them some of them or just one of them make sure to verify which one you are solving please and thank you ​

Answers

Answer:

13. 14. 15.

A.) 21 A.)-2 A.) 8

B.) 21 B.) 14 B.) 8

Step-by-step explanation:

13.

A.) 2(4)^2 - 11 = 21. B.) 2(-4)^2 - 11 = 21

* Note: if the power is a even number (2, 4, 6, and on), then the negative won't affect the answer and can be forgotten.

14.

A.)2squareroot16 - 10 = -2.

B.)2squareroot16 - 10 = 14

15.

|-3 - 8| + (-3) =8

|1/2 - 8| + 1/2 = 8

13. a) 21 b) 21. 14. a) -2 b) 14. 15. a) 8 b)8

Is 813.1 a rational number? i need this asap pls it would b v appreciated

Answers

Answer: It is a rational number, as it can be put into a fraction.

Step-by-step explanation: Math

The number 813.1 is a rational number.

It is required to find the 813.1 a rational number or not.

What is real number?

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.

Given:

Any number in the form of p/q where p and q are integers and q is not equal to 0 is a rational number.

The given integer is

813.1

=8131/10

The decimal 813.1 is a rational number. First of all, it is a terminating decimal, which means that the decimal has a definite ending point. All terminal decimals are rational numbers. In addition, the decimal 813.1 can be converted to a fraction of 8131/10. Since both 8131 and 10 are integers (whole numbers), this also tells us that it is a rational number.

Therefore, the number 813.1 is a rational number.

Learn more details about real number here:

https://brainly.com/question/551408

#SPJ2

carmelo antonys ratio of assists per game to rebounds per game is 4:5. if he had 108 rebounds and assists laat season, how many assists did he have? How many rebounds did he have?

Answers

Answer:

48:60

Step-by-step explanation:

4 x 12= 48

12 x 5 = 60

60 +48=108

Answer is

48:60

Answer:

48 59

Step-by-step explanation:

The mass of the Sun is about 2 × 1027 metric tons, or 2 × 1030 kilograms. How many kilograms are in one metric ton?

Answers

Answer: 1000 kilograms.

Step-by-step explanation:

1,000 kilograms = one metric ton

An image point of a transformation has coordinates Y'(2, -4). If the pre-image point had coordinates Y(6, -12), what was the transformation and scale factor? reflection with scale factor 3 reflection with scale factor dilation with scale factor 3 dilation with scale factor

Answers

Answer:

Jut graph the points

Step-by-step explanation:

All they want you to do is graph the points so graph the points and draw a line through them and you should have the correct answer

Answer:

Its Dilation with a scale 1/3.

Step-by-step explanation:

Combining Like Terms Please help

Answers

5. 3p - 14 6. 18x + 45 7. 21m + 3 8. 8x + 57 9. -5r - 29 10. 12x + 37

hope this helps:D
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which expression can be used to find the surface area of the following square pyramid

Answers

Answer:

a. 36+15+15+15+15

Step-by-step explanation:

The base of the pyramid is a square. We know that all sides of a square are equal so if we multiply the two sides of the base square(6*6) we get 36.

The area of a triangle can be found with the formula (b*h)/2. If we input the given values of 5 and 6 into our equation, then (5*6)/2 is 15 and since there are 4 triangles in the square pyramid, you multiply 15 by 4 (or add 15+15+15+15), and add the 36 from the base square.

Hope this helps :)

The answer is a 36 + 15 + 15+ 15 +15

Use long division to write the fraction 2 as a decimal

Answers

Answer:

welp i get free things from answering so thx

Step-by-step explanation:

Heeeyyyyyy wyd hows everything going

Help please. Math is HARD

Answers

The answer to your question is 1/6

Answer:

Step-by-step explanation:

100% : 6= 16.6%

100%: 3= 33.3%

100%:5= 20% 20%x3=60%

100%:3=33.3% 33.3%x2= 66.6%

Solve the inequality for x

Answers

Answer:

-2 < x

Step-by-step explanation:

5 < x+7

5-7 < x+7-7

-2 < x

The answer is -2 is less that or equal to x.

To answer the question, you need to isolate x to one side. You do this by by subtracting 7 on each side of the equation. 5-7=-2.

Hope this helped!

A zoo has 1123 mammals, 745 birds, 1078 fish, and 134 amphibians. They want to increase the number of amphibians to 200. How many more amphibians do they need?

Answers

You would need 66 more amphibians
66 more amphibians are needed to get to 200

explanation:
200-134=66

Megan wanted 50 beads that were originally $9.95. She had a coupon for 25% off and paid a sales tax of 6%. What was the total she paid for the beads?

Answers

9.95(0.75)(1.06)=7.91

The .75 is the coupon and 1.06 is the sales tax.

If the sales tax is 6%, add the decimal version of 6% to 9.95.

6% ⇒ 0.06

9.95 + 0.06 = 10.01

Since Megan has a 25% off coupon, find 25% of the full price by multiplying 0.25 by 10.01.

25% ⇒ 0.25

10.01 × 0.25 = 2.50

Now subtract 2.50 from 10.01.

10.01 - 2.50 = 7.51

Answer:

The total price of the beads is $7.51.

Hope this helped!

~ V.

find the measurement of each liquid in the graduated cylinders. and do not forget your UNITS!!! :)

Answers

Answer:

1st-50ml

Step-by-step explanation:

1st-50 I think that’s the answer
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