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2 years ago

Find the area of the following shape. You must show all work to receive credit.

Mathematics

1 answer:

Artist 52 [7]2 years ago

5 0

By comparing the given shape with easier ones like triangles and rectangles we will see that the area of the shape is 8 square units.

<h3>How to simplify the shape.</h3>

So the given shape is a little bit complex, but you can actually see that it is a triangle with a base of 8 units with a height of 4 units, where a rectangle of 2 in by 3 in was removed, and also removed a triangle of height of 2 inches and base of 2 inches.

Remember that:

A triangle of height H and base B has an area = B*H/2
A rectangle of length L and width W has an area = L*W.

Then the area of the given shape is:

A = 8*4/2 - 3*2 - 2*2/2

A = 16 - 6 - 2

A = 8

So the given shape has an area of 8 square units.

If you want to learn more about areas, you can read:

brainly.com/question/14137384

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A model rocket is launched with an initial upward velocity of 60 m/s. The rocket's height h (in meters) after t seconds is given

Vedmedyk [2.9K]

Answer:

0.47 and 11.53

Step-by-step explanation:

h = 60t − 5t²

27 = 60t − 5t²

5t² − 60t + 27 = 0

Quadratic formula:

x = [ -b ± √(b² − 4ac) ] / 2a

t = [ -(-60) ± √((-60)² − 4(5)(27)) ] / 2(5)

t = (60 ± √3060) / 10

t = 0.47 or 11.53

3 0

3 years ago

Find the measure of angle A. (Hint: You will need to find the value of x, but that is NOT the solution.)

dangina [55]

Answer:

41°

Step-by-step explanation:

Sum of angle measures in a triangle: 180°

So,

108 + x + 5 + x - 5 = 180

Simplify.

2x + 108 = 180

Subtract 108 from both sides.

2x = 72

x = 36

Substitute x = 36 into (x + 5)

m∠A = 36 + 5 = 41

Thus, the answer is 41°

8 0

2 years ago

The production department has installed a new spray machine to paint automobile doors. As is common with most spray guns, unsigh

marta [7]

Answer:

10000*0.6065=6065

A. about 6,065

Step-by-step explanation:

Definitions and concepts

The Poisson process is useful when we want to analyze the probability of ocurrence of an event in a time specified. The probability distribution for a random variable X following the Poisson distribution is given by:

$P(X=x) =\lambda^x \frac{e^{-\lambda}}{x!}$

And the parameter $\lambda$ represent the average ocurrence rate per unit of time.

For this distribution the expected value is the same parameter $\lambda$

$E(X)=\mu =\lambda=0.5$ , $Var(X)=\lambda=0.5$ , $Sd(X)=707$

Solution to the problem

We want "how many would have no blemishes" so first we need to find the probability that X=0, since X represent on this case the number of blemishes on each door. And if we use the mass function we got this:

$P(X=0) =0.5^0 \frac{e^{-0.5}}{0!}=0.6065$

And now since we have a total of 10000 doors painted we can find how many we would expect with no blemishes:

10000*0.6065=6065

A. about 6,065

4 0

3 years ago

Find an equation in point slope form that passes through the points -1,3 and 1,7 show all your work

liberstina [14]

Answer:

Step-by-step explanation:

1. Find the slope:

7 -3/ 1 + 1 = 4/2 = 2 = m

2. Find b by plugging in the m and one of the points given into y = mx + b

7 = 2 ( 1 ) + b

7 = 2 + b

5 = b

3. Write the equation using the m and the b you just found

y =2 x + 5

4 0

2 years ago

What is the slope of 2/7x +5y=15

dmitriy555 [2]

Answer:

-2/35

Step-by-step explanation:

Slope y-intercept form : y = mx + b

Here m is the slope and b is the y-intercept

Write the given equation in slope y-intercept form.

$\sf \dfrac{2}{7}x + 5y = 15\\\\$

$\sf 5y = \dfrac{-2}{7}x + 15\\\\ y =\dfrac{-2}{7*5}x + \dfrac{15}{5}\\\\ y = \dfrac{-2}{35}x + 3\\\\ \boxed{\bf Slope = \dfrac{-2}{35}}$

4 0

2 years ago