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aleksley [76]
2 years ago
9

Which statement must be true? Help.

Mathematics
1 answer:
Elza [17]2 years ago
3 0
I guess its A or C because on a quadrant the x and the y are equal.
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Please answer both questions and show all work with explanations :) thank you soo much...
torisob [31]

Answer:

1) 109 cm

2) 120 in²

Step-by-step explanation:

A rectangle is a quadrilateral with opposite sides the same length and four (4) right angles. The diagonal, together with two adjacent sides, forms a right triangle. The relationship between side lengths and the diagonal length is given by the Pythagorean theorem. If sides are "a" and "b" and the diagonal is "c", that theorem tells you ...

... c² = a² + b²

1) c² = (60 cm)² + (91 cm)² = 11881 cm²

... c = √11881 cm = 109 cm

2) The perimeter is double the sum of adjacent side lengths, so ...

... 2(a+b) = 46 in

... a + b = 23 in . . . . . divide by 2

The Pythagorean theorem tells you

... a² + b² = (17 in)²

Squaring the equation from the perimeter relation gives ...

... (a + b)² = (23 in)² = a² + 2ab + b²

Subtracting a² + b², we have

... (a² +2ab +b²) - (a² + b²) = (23 in)² -(17 in)²

... 2ab = (529 -289) in² = 240 in² . . . . . simplify

... 240 in²/2 = ab = 120 in² . . . . . area is the product of length and width

_____

We could solve the two equations for a and b to find that there are two possible solutions: (a, b) = (8, 15) or (15, 8). Either way, ab = 8·15 = 120.

7 0
2 years ago
Evaluate 9-5+(48/2)x5x7+6
Radda [10]

Answer:850

Step-by-step explanation:

I hope it helps

8 0
2 years ago
Read 2 more answers
Write the equation of the line that passes through the points (-3,-7) and (-1,3)
Lina20 [59]

Answer:

This is the answer of your question.

4 0
2 years ago
Someone please help me with #15
harina [27]

Answer:

b. A year and a half

Step-by-step explanation:

First, we can find the total cost

1512+263=1775

Next, we can divide by 50 in order to find out how many months it will take for the panel to pay for itself.

\frac{1775}{50} =35.5 months

This is very close to 36 months, which is <u>A year and a half</u>.

6 0
3 years ago
What is the volume of the soccer ball? Enter your answer in terms of π and round to the nearest cubic centimeter.
astraxan [27]

Answer:

380 CENTIMETERS

Step-by-step explanation:

PI R 2 THEN ROUND

5 0
2 years ago
Read 2 more answers
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