The graph represents a function related to a train's movement over time.

A rectangular dining room table top is 36 inches wide the diagonal to tabletop measures 85 inches how many inches long is a tabl

makvit [3.9K]

Pythagorean theorem: a^2 + b^2 = c^2
36^2 + b^2 = 85^2
1296 + b^2 = 7225
b^2 = 7225 - 1296
b^2 = 5926
b = square root of 5929
b = 77 inches long

6 0

3 years ago

a sandwich shop has 60 stores and 70 percent of the stores are I California. How many stores are in California and Nevada

Aliun [14]

Answer:

The number of stores in California 42

The number of stores in Nevada 18

Step-by-step explanation:

Given as :

The total sandwich shop in California and Nevada = 60

The percentage of shop in California = 70%

So, The percentage of shop in Nevada = 100% - 70% = 30%

Let The number of stores in California = c

And The number of stores in Nevada = n

Now, According to question

The number of stores in California = 70% of the total number of shops

I.e c = $\frac{70}{100}$ × total number of shops

Or, c = $\frac{70}{100}$ × 60

∴ c = $\frac{70\times 60}{100}$

or, c = $\frac{4200}{100}$

or, c = 42

So, The number of stores in California = c =42

Again

The number of stores in Nevada = 30% of the total number of shops

I.e n = $\frac{30}{100}$ × total number of shops

Or, n = $\frac{30}{100}$ × 60

∴ n = $\frac{30\times 60}{100}$

or, n = $\frac{1800}{100}$

or, n = 18

So, The number of stores in Nevada = n = 18

Hence The number of stores in California 42

And The number of stores in Nevada 18 Answer

8 0

3 years ago

I also got this one wrong as well can someone tell me what I'm doing wrong so I can change it

Angelina_Jolie [31]

The answer is: [D]: "Subtract 5 from 10" .
____________________________________
Explanation:
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Use the correct order of operations, according to the mnemonic:
"PE MD AS".

The "P" stands for "parentheses", which takes top (first priority); and there are values in parentheses in this expression—specifically, the "(10 - 5)" . So the first step is to "subtract 5 from 10" —which is: "Answer choice: [D]".
Your error was starting at the beginning of the problem; and not using the "order of operations".
____________________________________________________

6 0

3 years ago

Hey can you please help me posted picture of question

Naddika [18.5K]

The correct answer is option D

The solution is shown below:

$x^{2} +16 \\ \\ 
= x^{2} +(4)^{2} \\ \\ 
= x^{2} -(-1)(4)^{2} \\ \\ 
= x^{2} -i^{2} (4)^{2} \\ \\ 
= x^{2} -(4i)^{2} \\ \\ 
=(x+4i)(x-4i)
$

6 0

3 years ago

Please help me out guys. The photo will show you what to do. 50 points cause I need it done fast

Nonamiya [84]

Answer:

a) starting height: 5.5 ft

b) hang time: 5.562 seconds

c) maximum height: 126.5 ft

d) time to maximum height: 2.75 seconds

Step-by-step explanation:

a) The starting height is the height at t=0.

h(0) = -16·0 +88·0 +5.5

h(0) = 5.5

The starting height is 5.5 feet.

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b) The ball is in the air between t=0 and the non-zero time when h(t) = 0. We can find the latter by solving ...

-16t^2 + 8t +5.5 = 0

t^2 -(11/2)t = 5.5/16 . . . . . subtract 5.5, then divide by -16

t^2 -(11/2)t +(11/4)^2 = (5.5/16) +(11/4)^2 . . . . complete the square

(t -11/4)^2 = 126.5/16 . . . . . . . . . . . . . . . . . . . . call this [eq1] for later use

t -11/4 = √7.90625

t = 2.75 +√7.90625 ≈ 5.562

The ball will be in the air about 5.562 seconds.

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c) If we multiply [eq1] above by -16 and add the constant on the right, we get the vertex form of the height equation:

h(t) = -16(t -11/4) +126.5

The vertex at (2.75, 126.5) tells us ...

The maximum height of the ball is 126.5 feet.

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d) That same vertex point tells us ...

The maximum height will be reached at t = 2.75 seconds.

_____

If you really need answers fast, a graphing calculator can give them to you in very short order (less than a minute).

6 0

3 years ago