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3 years ago

Please answer and explain

Mathematics

1 answer:

Soloha48 [4]3 years ago

5 0

30 degrees and x are complementary angles, which means that they're adjacent angles that add up to 90 degrees. How you know they add up 90 degrees is because of the supplementary angles, which are angles that have a sum of 180 degrees. x + 30 + 90 = 180, using algebraic steps you get x = 60. There are other ways of getting to x = 60, but that's the quickest.

x = 60

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Tom and Jerry are hoping to be selected from their class of 27 as president and vice-president of the Social Committee (they jus

andrezito [222]

Answer:

(1/117). decimal is 0.008547(6 decimal places)

Step-by-step explanation:

Ok here u go

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3 years ago

What is the mode of the data set? a. 90 b. no mode c. 85.5 d. 49

grandymaker [24]

Answer:

Step-by-step explanation:

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3 years ago

A baseball is hit and its height is given by h = 29.4t – 4. 9t^2, where h is the

ioda

Answer:

44.1m

Step-by-step explanation:

we are given a quadratic function which represents the height and time of a baseball

$\displaystyle h = 29.4t - 4.9 {t}^{2}$

we want to figure out maximum height of

the baseball

since the given function is a quadratic function so we have a parabola

which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)

to do so we can use some special formulas

recall that,

$\displaystyle \rm t= \frac{ - b}{ 2a}$

$\displaystyle H_{\text{max}}=f(t)$

notice that, our given function is not in standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

let's make it so

$\displaystyle h = - 4.9 {t}^{2} + 29.4t$

therefore we got

our a is -4.9 and b is 29.4

so substitute:

$\displaystyle\rm t= \frac{ -( 29.4)}{ 2 \cdot - 4.9}$

remove parentheses and change its sign:

$\displaystyle\rm t= \frac{ -29.4}{ 2 \cdot - 4.9}$

simplify multiplication:

$\displaystyle\rm t= \frac{ -29.4}{ - 9.8}$

simplify division:

$\displaystyle \: t = 3$

so we have figured out the time when the baseball will reach the maximum height

now we have to figure out the height

to do so

substitute the got value of time to our given function

$\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot {3}^2$

simplify square:

$\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot 9$

simplify mutilation:

$\displaystyle H_{\text{max}}=88.2-44.1$

simplify substraction:

$\displaystyle H_{\text{max}}=44.1$

hence,

the maximum height of the baseball is 44.1 metres

4 0

3 years ago

Read 2 more answers

Coach Williams bought trophies for his players at the end of the season. Each trophy is packed in a cube-shaped box that has a v

Diano4ka-milaya [45]

Answer:

The volume of the cart will be 24 ft^3

Step-by-step explanation:

The first thing we need to calculate for this question is the number of boxes that fill the entire cart.

A layer of boxes consists of 8 boxes.

The cart holds a maximum of 3 layers of boxes.

So, the total number of boxes held by the cart are:

Total boxes = number of layers * boxes per layer

Total boxes = 3 * 8

Total boxes = 24

Since each box has a volume of one cubic foot, the total volume of the cart will be:

Volume of cart = number of boxes * volume of each box

Volume of cart = 24 * 1

Volume of cart = 24 ft^3

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3 years ago

Josephine wants to put a wallpaper border around the ceiling of her room. The dimensions are right there. How many feet of borde

joja [24]

You might want to check what I did just in case cause it's been a few years but it should be good. I hope this helps!

10.75 x 8.5 = 91.375

7 0

3 years ago