Calculate the area of triangle QRS with altitude ST, given Q (0, 5), R (−5, 0), S (−3, 4), and T (−2, 3).A- 6.2 square units

B- 7 square units

C- 5.9 square units

D- 5 square units

Answers

Answer 1
Answer:

we have that

Q (0, 5)\nR (-5, 0)\nS (-3, 4)\nT (-2, 3)

using a graph tool

see the attached figure

the Area of triangle QRS is equal to

A=(1)/(2)*b*h\n  A=(1)/(2)*RQ*ST

1) Find the distance RQ

Applying the formula of distance

d=\sqrt{(y2-y1)^(2)+(x2-x1)^(2)}

dRQ=\sqrt{(0-5)^(2)+(-5-0)^(2)}

dRQ=√((25)+(25))

dRQ=√(50) units

2) Find the distance ST

dST=\sqrt{(3-4)^(2)+(-2+3)^(2)}

dST=√((1)+(1))

dST=√(2) units

3) Find the area of triangle QRS

A=(1)/(2)*RQ*ST\n\n A=(1)/(2)*√(50)*√(2) \n\n A=(1)/(2)*√(100) \n \n A=(10)/(2) \n \n A=5 units^(2)

therefore

the answer is the option

D- 5 square units

Answer 2
Answer: The correct answer among the choices provided is option D. The area of triangle QRS with altitude ST is 5 square units. To solve for the area, the distance formula was used. The formula was substituted with the given values, QR=√[(-5-0)²+(0-5)²].

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Step-by-step explanation:

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Answers

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Answers

ok so first find the important stuff.

1. 6 chalkboards per grade
2. 3 grades
3. $98 per chalkboard 

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Answers

i think the answer is D because its multiplying by 2 each time
D) 2, 4, 8, 16, 32

Explanation:

In order for it to be a geometric sequence, it has to be multiplied by the same number every time.  The only equation that demonstrates this is the last one since it is being multiplied by 2 every time.

The geometric sequence equation is
A(n) = a* r^{n-1} 
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Answers

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Will a frying pan with a circumference of 25.12 inches fit on an electric burner with a 4-inch radius?

Answers

Answer:

Yes

Step-by-step explanation:

25.12 inches of circumference is equal to the radius of 3.998 inches

4 inches > 3.998 inches

Therefore it fits


Answer:

yes

Step-by-step explanation: