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Olenka [21]
4 years ago
5

What is the length of the diagonal of a rectangle whose width is 90 cm and whose length is 200 cm? (Round your answer to the nea

rest whole centimeter.)
a. 217 cm

b. 214 cm

c. 222 cm

d. 219 cm
Mathematics
1 answer:
inessss [21]4 years ago
7 0

Answer:

d. 219 cm

Step-by-step explanation:

If you draw in that diagonal, what you have is two right triangles with the diagonal being the hypotenuse of both.  This hypotenuse can be found using Pythagorean's Theorem.  Filling in with our info:

c^2=90^2+200^2 and

c^2=48100.  Taking the square root of both sides gives you

c = 219.3 or just 219 cm

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If triangle ABC is dilated using a scale factor of 2, what will be the coordinates of A after the transformation
harkovskaia [24]

Answer:

A' = (-4,4)

Step-by-step explanation:

Given

A = (-2,2)    B = (1,3)       C = (1,0)

k =2 --- scale factor

Required

Determine A'

This is calculated as:

A' = A * k

A' = (-2,2) * 2

A' = (-2 * 2,2 * 2)

A' = (-4,4)

8 0
3 years ago
Find the difference quotient f(x)−(3)−3 when ()=1+4−5^2. Simplify the expression fully as if you were going to compute the limit
Naddik [55]

The difference quotient of the expression will be 4.

<h3>How to find the quotient?</h3>

f(x) = 5 + 5x + 4x²

f(3) = 5 + 5(3) + 4(3)³

= 56

Now [f(x) - f(3)]/(x - 3) will be:

= (4x² + 5x + 5 - 56)/(x - 3)

= (4x² + 5x - 51)/(x - 3)

= (4x² + 17x - 12x - 5)/(x - 3)

= (4x + 17)(x - 3)/(x - 3)

= 4x + 17

The difference quotient will be:

g(x + h) = 4(x + h) + 17

= [g(x + h) - g(x)]/h

= (4x + 4h + 17 - 4x - 17)/h

= 4h/h

= 4

Learn more about quotient on:

brainly.com/question/673545

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6 0
2 years ago
Find the midpoint of A and B where A has coordinates (2,9)
timofeeve [1]

Answer:

(\dfrac{9}{2}, \dfrac{13}{2})

Step-by-step explanation:

The coordinates of A = (2,9)

The coordinates of B = (7,4)

Let M (x,y) be the mid point of A and B.

M(x,y)=(\dfrac{x_1+x_2}{2}),(\dfrac{y_1+y_2}{2})\\\\=\dfrac{2+7}{2}, \dfrac{9+4}{2}\\\\=(\dfrac{9}{2}, \dfrac{13}{2})

So, the coordinates of mid point of A and B is (\dfrac{9}{2}, \dfrac{13}{2}).

7 0
3 years ago
The reported average cost per workbook at a large college is $27.50. A professor claims that the actual average cost per workboo
nadezda [96]

Answer:

We conclude that the actual average cost per workbook is higher than $27.50.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $27.50

Sample mean, \bar{x} = $28.90

Sample size, n = 44

Alpha, α = 0.05

Population standard deviation, σ = $5.00

First, we design the null and the alternate hypothesis

H_{0}: \mu = 27.50\text{ dollars}\\H_A: \mu > 27.50\text{ dollars}

We use one-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{28.90 - 27.50}{\frac{5.00}{\sqrt{44}} } = 1.8573

Now, z_{critical} \text{ at 0.05 level of significance } = 1.64

Since,  

z_{stat} > z_{critical}

We reject the null hypothesis and accept the alternate hypothesis.

Thus, we conclude that the actual average cost per workbook is higher than $27.50.

6 0
4 years ago
The difference between the product of 8 and 6 and the sum of<br> 4 and 10 is
lys-0071 [83]

Answer:

34.

Step-by-step explanation:

8 *6 - (4 + 10)

= 48 - 14

= 34.

6 0
3 years ago
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