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3 years ago

If QR = 9 and ST = 13 calculate LM.

Mathematics

1 answer:

pickupchik [31]3 years ago

5 0

Answer:

$\boxed{\sf LM = 11}$

Step-by-step explanation:

According to trapezoid mid-segment theorem:

$LM = \frac{QR+ST}{2}\\ Given \ that\ QR = 9, ST = 13$

$\sf LM = \frac{9+13}{2}$

LM = 22/2

LM = 11

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Please answer 100 points and brainlist

ollegr [7]

Answer:

261 ft²

Explanation:

This entire shape can be divided into one square and four triangles.

Area of square:

Side² = 9² = 81 ft²

Area of four triangles:

4 × 1/2 × base × height

2 × 9 × 10

180 ft²

Total Area:

180 + 81 = 261 ft²

8 0

1 year ago

Sarah kicked a ball in the air. The function

Aleksandr-060686 [28]

Answer: The ball hits the ground at 5 s

Step-by-step explanation:

The question seems incomplete and there is not enough data. However, we can work with the following function to understand this problem:

$f=30 t- 6t^{2}$ (1)

Where $f$ models the height of the ball in meters and $t$ the time.

Now, let's find the time $t$ when the ball Sara kicked hits the ground (this is when $f=0 m$ ):

$0=30 t- 6t^{2}$ (2)

Rearranging the equation:

$6t^{2}-30 t=0$ (3)

Dividing both sides of the equation by $6$ :

$t^{2}-5 t=0$ (4)

This quadratic equation can be written in the form $at^{2}+bt+c=0$ , and can be solved with the following formula:

$t=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a}$ (5)

Where:

$a=1$

$b=-5$

$c=0$

Substituting the known values:

$t=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(0)}}{2(1)}$ (6)

Solving we have the following result:

$t=5 s$ This means the ball hit the ground 5 seconds after it was kicked by Sara.

6 0

3 years ago

What is the location of the sum 11+(-5) with respect to 11 on a number line?

stealth61 [152]

B is the correct answer because it is 11-5

Hope this helps :)

3 0

3 years ago

Read 2 more answers

Please help me with this problem

Rom4ik [11]

y=x^2 + x - 2

x + y = 1

Replace y in the second equation:

x + x^2 + x -2 = 1

Simplify:

x^2 + 2x -2 = 1

Subtract 1 from both sides:

x^2 + 2x -3 = 0

Factor:

(x-1) (x+3) = 0

Solve for both x's:

x = 1 and x = -3

Now replace x in the second equation and solve for y using both x values:

1 + y = 1, y = 0

-3 + y = 1, y = 4

Now you have (1,0) and (-3,4) as solutions for (x,y)

XY = x times y:

1 x 0 = 0

-3 x 4 = -12

The answer would be -12

6 0

2 years ago

I need help please no links I will report

stellarik [79]

Answer: $1.45

Step-by-step explanation:

We start by subtracting the change from how much she payed for.

d = dollars | g = goldfish

$16d - 0.05d = 15.95d$

Then we divide by the goldfish

$\frac{15.95d}{11g} = 1.45d$

Our answer is 1.45!

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7 0

2 years ago