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3 years ago

Find the area of trapezoids

Mathematics

2 answers:

Sonbull [250]3 years ago

8 0

Answer:

Area is 10.5

Step-by-step explanation:

We can use the trapezoid formula of

$A = \frac{a+b}{2}h$

A = (2 + 5) / 2 * 3 = 3.5 * 3 = 10.5

or break it into a rectangle and a triangle (natural split by y axis).

A = 2 * 3 + 3 * 3 / 2 = 6 + 9 / 2 = 6 + 4.5 = 10.5

stepladder [879]3 years ago

6 0

Answer:

10.5 units²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = $\frac{1}{2}$ h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = OS = 3 , b₁ = OC = 5 , b₂ = SK = 2 , then

A = $\frac{1}{2}$ × 3 × (5 + 2) = 1.5 × 7 = 10.5 units²

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Solve y=-3x² + 4.5x – 20<br> Use the Quadratic formula

statuscvo [17]

Answer:

$x=0.75 \pm 2.47067i$

Step-by-step explanation:

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

√-1 is imaginary number i

Step 1: Define

y = -3x² + 4.5x - 20

a = -3

b = 4.5

c = -20

Step 2: Substitute and Evaluate

$x=\frac{-4.5 \pm \sqrt{4.5^2-4(-3)(-20)} }{2(-3)}$

$x=\frac{-4.5 \pm \sqrt{20.25-240} }{-6}$

$x=\frac{-4.5 \pm \sqrt{-219.75} }{-6}$

$x=\frac{-4.5 \pm \sqrt{219.75}(\sqrt{-1} ) }{-6}$

$x=\frac{-4.5 \pm i\sqrt{219.75} }{-6}$

$x=\frac{4.5 \pm i14.824 }{6}$

$x=0.75 \pm 2.47067i$

7 0

3 years ago

Carlotta handpaints T-shirts and sells them to her friends. She uses the equations below to determine her costs and the amount o

spayn [35]

Profit = Income - cost
Profit = 10s - (28 + 3s) = 10s - 28 -3s = 7s - 28.

Profit = 0

0 = 7s - 28

7s = 28
7s = 28/7
s = 4. This is the breakeven point.

Carlota must sell more than 4 shirts to make a profit

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3 years ago

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A toy manufacturer claims that the mean time that its top-selling toy captures children's attention is at least 45 minutes. Supp

riadik2000 [5.3K]

Answer:

$H_0:\mu =45\\\\H_a:\mu\geq 45$

Step-by-step explanation:

Since we have given that

A toy manufacturer claims that the mean time that its top-selling toy captures children's attention is at least 45 minutes.

Since we need to carry out a hypothesis test whether he can refute the claim.

We always take the alternate hypothesis such that it should satisfy the given statement.

And the null hypothesis can be equal to mean or other than that is given in alternate hypothesis.

So, hypothesis :

$H_0:\mu =45\\\\H_a:\mu\geq 45$

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3 years ago

How do you solve 34.86 x 1.2?

Nezavi [6.7K]

Answer: 41.832

Step-by-step explanation:

I like to write decimals without decimals when multiplying. for this I would do

3486 x 12 which equals 41832 then You would move the decimal up from 3 spaces from the 2 from 41832 which would put the decimal between the 1 and 8

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3 years ago

Which of these pairs of forces are acting on a stationary boat floating in calm water?

Lady bird [3.3K]

Answer:

A. Weight and buoyancy :P Have a good day

Step-by-step explanation:

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3 years ago

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