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2 years ago

Which of the following three sets of lengths could be used to form a right triangle A 39,15 and 36

Mathematics

2 answers:

laila [671]2 years ago

7 0

Step-by-step explanation:

To find a set of 3 leg lengths that will form a right-angled triangle, the square of the largest leg must be equal to the sum of the squares of the other 2 legs.

We try out all the options:

39² = 1521, 15² + 36² = 1521.

12² = 144, 8² + 4² = 80.

17² = 289, 13² + 9² = 250.

Since 39² equals 15² + 36², option A is the correct answer.

Pavel [41]2 years ago

5 0

We must find out 3 angles to make a right triangle.

The formula is c² = a² + b².

We know that the longest angle is equal to the other two angles.

Now, let's work this problem out.

Option A

39² = 1521

15² + 36² = 1521.

Option B

12² = 144

8² + 4² = 80.

Option C

17² = 289

13² + 9² = 250.

39² = 15² + 36², so the answer is A.

✔️ Hence, verified. ✔️

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2 years ago

Evaluate the following double integral: xy dA D where the region D is the triangular region whose vertices are (0, 0), (0, 3), (

natulia [17]

Answer:

I= 84

Step-by-step explanation:

for

$I=\int\limits^{}_{} \int\limits^{}_D {x*y} \, dA = \int\limits^{}_{} \int\limits^{}_D {x*y} \, dx*dy$

since D is the rectangle such that 0<x<3 , 0<y<3

$I=\int\limits^{}_{} \int\limits^{}_D {x*y} \, dA = \int\limits^{3}_{0} \int\limits^{3}_{0} {x*y} \, dx*dy = \int\limits^{3}_{0} {x} \, dx\int\limits^{3}_{0} {y} \, dy = x^{2} /2*y^{2} /2 = (3^{2} /2 - 0^{2} /2)* (3^{2} /2 - 0^{2} /2) = 3^{4} /4 = 81/4$

4 0

2 years ago

Find the missing value in the table.

dimulka [17.4K]

Answer:

we're just multiplying X × 2 every time so (y=80)

7 0

2 years ago

What is the interest earned on $3000 at a rate of 0.04 for three years? The formula is interest equals (principal) (rate) (time)

bekas [8.4K]

Answer:

The interest after 3 years is $360

Explanation:

Given the principal amount (P) = $3000

Rate of interest (R) = 0.04

Time period (T) is given as 3 years

The Simple Interest is calculated by the formula;

$SI = Principal \times Rate of Interest \times Time$

Substituting the values in the above formula,

$SI = 3000 \times 0.04 \times 3$

SI = $360

Therefore, the interest after 3 years is $360

5 0

2 years ago

Lee's muffin mix calls for 2/3 cup of milk, 1/3 Cup of oil and 1/3 cup of sugar.Hos more milk than oil does she need for the muf

marysya [2.9K]

You has some spelling errors, im guessing this is what you ment :

Lee's muffin mix calls for 2/3 cup of milk, 1/3 Cup of oil and 1/3 cup of sugar. How much more milk than oil does she need for the muffin mix

Answer : She needs 1/3 cup more milk than oil

to figure this out do 2/3 - 1/3 = 1/3

5 0

2 years ago