1. The legs of a right triangle measure 24 feet and 45 feet. what is the length of the hypotenuse?A. 51ft
B.69ft
C.38.07ft
D.8.31ft

2. Which of these cannot represent the lengths of the sides of a right triangle?
A.3 ft,4 ft,5 ft
B.6 in,8 in,10 in
C.16 cm,63 cm,65 cm
D.8 m,9 m,10 m

Answers

Answer 1

Answer: 1.

so remember
a^2+b^2=c^2

a and b are the legs
c=hypotonuse so
a=24
b=45
subsitute
24^2+45^2=c^2
576+2025=c^2
2601=c^2
square root both sides
51=c

the answer is A. 51 ft

2. just subsitute and solve for ones that are not equal (hypotonuse is greater than either legs)
A. 3^2+4^2=5^2
9+16=25
25=25
correrct

B. 6,8,10
this is a multiplule of the 3,4,5 previoius so this works as well

C.16^2+63^2+65^2
256+3969=4225
4225=4225
correct

D. 8^2+9^2=10^2
64+81=100
145=100
false

the answer is D

ANSWERS:
1. A, 51 ft
2. D, 8,9,10

Answer 2

Answer: The answer is A).51 ft
To solve the problem use the Pythagorean Theorem. There are 3 parts to the Pythagorean Theorem. A (squared)+ B (squared) = C(squared). To "square" a number mutiply to itself. A=24
B=45, C is the Hypotenuse, you want to find out C. A is 24, a leg. B is 45, a leg. A squared is 24*24, 576 feet. B squared is 45*45, 2025 feet. To find C (the hypotenuse), add 576+2025 which is 2601 feet. The answer is **2601 feet**. Sometimes they will only give you 1 leg and the hypotenuse and want you to find the 2nd leg answer.
An example is if they asked " a right triangle has a 24 ft leg and hypotenuse is 2,601 ft. What is the length of the other leg? Still use Pythagorean Theorem. A is 24 ft,
you are looking for B,
you know that C is 2601 ft. So it is (24*24) +X squared=2601 ft. Then
2601-576. The answer is 2025, press square root button and it is 45 ft

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PLEASE HELP!! Look at triangle WXY What is the length (in centimeters) of the side WY of the triangle?

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Answer:

Step-by-step explanation:

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What is 10x10x10x10x10 in word form

Answers

The 10x10x10x10x10 in words is One hundred thousand.

What is Multiplication?

The fundamental concept of repeatedlyadding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors.

Given:

10x10x10x10x10

So, the Multiplication is

10 x 10 = 100

100 x 10 = 1000

1000 x 10= 10000

10000 x 10 = 100, 000

So, In words it can say as Onehundred thousand.

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10 * 10 =100
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A rectangular paperboard measuring 21 in long and 16 in wide has a semi circle cut out of it , find the area of the paper board that remains

Answers

Answer:

Hope it helps you............

Final answer:

To find the remaining area of the paperboard, calculate the area of the rectangle, subtract the area of the semicircle. The area of the rectangle is 336 square inches, and the area of the semicircle is 32π square inches. The remaining area is approximately 236.05 square inches.

Explanation:

To answer this question, we first need to calculate the area of the entire paperboard, and then calculate the area of the semi-circle that was cut out. We then subtract the area of the semi-circle from the area of the paperboard to get the remaining area.

The area of a rectangle is calculated by multiplying its length by its width. For the paperboard, we find the area by multiplying 21 inches (length) by 16 inches (width), which gives us 336 square inches.

Next, we have to calculate the area of the semi-circle that was cut out. Assuming the cut was made along the width of the paperboard, the diameter of the semi-circle would be 16 inches. The radius, therefore, is 8 inches. The area of a circle is given by the formula πr², where r is the radius. For a semi-circle, we simply take half of this. This gives us an area of half of π(8)² = 32π square inches.

So, to find the remaining area of the paperboard, we subtract the area of the semi-circle from the area of the rectangle: 336 square inches - 32π square inches = approximately 236.05 square inches.

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Please help!

Which of the following is a trinomial with a constant term?

Answers

Answer:

D. x + 4y + 7

Answer:

Step-by-step explanation:

D. x + 4y + 7

7 is the constant term in the trinomial above.

According to the given information, quadrilateral RECT is a rectangle. By the definition of a rectangle, all four angles measure 90°. Segment ER is parallel to segment CT and ______________ by the Converse of the Same-Side Interior Angles Theorem. Quadrilateral RECT is then a parallelogram by definition of a parallelogram. Now, construct diagonals ET and CR. Because RECT is a parallelogram, opposite sides are congruent. Therefore, one can say that segment ER is congruent to segment CT. Segment TR is congruent to itself by the Reflexive Property of Equality. The Side-Angle-Side (SAS) Theorem says triangle ERT is congruent to triangle CTR. And because corresponding parts of congruent triangles are congruent (CPCTC), diagonals ET and CR are congruent.