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3 years ago

The diagram shows a trapezium.Work out the area of the trapezium.

Mathematics

1 answer:

pantera1 [17]3 years ago

5 0

Answer:

32cm^2

Step-by-step explanation:

the formula for the area of a trapezois is S=(10+6)/2*4=32

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a volley ball player servers the ball. The ball follows a path given by the equation y=-0.01x^2+0.5x+3 where x and y are measure

dolphi86 [110]

Answer:

(a)

Distance from player should be 13.82 feet or 36.2 feet

(b)

The ball will go over the net

Step-by-step explanation:

we are given

The ball follows a path given by the equation

$y=-0.01x^2+0.5x+3$

where

x and y are measured in feet and the origin is on the court directly below where the player hits the ball

(a)

net height is 8 ft

so, we can set y=8

and then we can solve for x

$8=-0.01x^2+0.5x+3$

$8\cdot \:100=-0.01x^2\cdot \:100+0.5x\cdot \:100+3\cdot \:100$

$800=-x^2+50x+300$

$-x^2+50x-500=0$

$x^2-50x+500=0$

we can use quadratic formula

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x=\frac{-50\pm \sqrt{50^2-4\left(-1\right)\left(-500\right)}}{2\left(-1\right)}$

$x=5\left(5-\sqrt{5}\right),\:x=5\left(5+\sqrt{5}\right)$

$x=13.82,x=36.2$

So, distance from player should be 13.82 feet or 36.2 feet

(b)

we can plug x=30 and check whether y=8 ft

$y=-0.01(30)^2+0.5(30)+3$

$y=9ft$

we know that

height of net is 8 ft

so, the ball will go over the net

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3 years ago

Write 12/root2 + root18 in the form broot2 where b is an interger

katrin2010 [14]

$\dfrac{12}{\sqrt 2} + \sqrt{18}\\\\\\=\dfrac{12 + \sqrt{18 \times 2}}{\sqrt 2}\\\\\\=\dfrac{12+\sqrt{9 \times 4}}{\sqrt 2}\\\\\\=\dfrac{12+3 \times 2}{\sqrt 2}\\\\\\=\dfrac{18}{\sqrt 2}\\\\\\=\dfrac{18\sqrt 2}{\left(\sqrt 2\right)^2}\\\\\\=\dfrac{18\sqrt 2}2\\\\\\=9\sqrt 2$

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2 years ago

Solve for r in the scientific formula d = rt.<br><br> r = _______

marta [7]

R = d/t is the answer. Hope this helped

4 0

3 years ago

Read 2 more answers

37. Bowling Alley A charges $5 admission and $3.50 per game. Bowling Alley B

sdas [7]

a. The cost for A = 19, and B = 25.

b. The cost for A = 22.25, and B = 25

c. When you want to play more than five games.

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

a. How much does it cost to play four games at each bowling alley?

a. 5 + 3.50 × 4 = 19, B is always $25

b. How much does it cost to play five games at each bowling alley?

b. 5 + 3.50 × 5 = 22.25, B is always $25

c. When is it financially more beneficial to bowl at Bowling Alley B?

c. 5 + 3.50 × 6 = 26, six games cost more than $25.

We can see from the solution that for any number of times we will be charged $25 but for less than 5 times the charges of B will be higher than the charges of A.

Therefore a.The cost for A = 19, and B = 25.The cost for A = 22.25, and B = 25 When you want to play more than five games.

To know more about expression follow

brainly.com/question/723406

#SPJ1

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2 years ago

10. Complete the table below based on the following function:f(x)=-6x-1

zepelin [54]

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3 years ago

The diagram shows a trapezium.Work out the area of the trapezium.​

The diagram shows a trapezium.Work out the area of the trapezium.