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Sergio039 [100]
3 years ago
15

Eastimate 921 + 1,256 + 117 by first rounding each number to the nearst hundred

Mathematics
1 answer:
stich3 [128]3 years ago
6 0

Answer:

2,300

Step-by-step explanation:

921=900

1,256=1300

117=100

900+1300+100=2,300

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What is the opposite of the opposite of a negative?
borishaifa [10]

Answer: A negative

Step-by-step explanation:

The opposite of a negative is positive, the opposite of a positive is a negative.

8 0
3 years ago
A soccer ball is kicked from 3 feet above the ground. the height,h, in feet of the ball after t seconds is given by the function
dexar [7]
Here's our equation.

h=-16t+64t+3

We want to find out when it returns to ground level (h = 0)

To find this out, we can plug in 0 and solve for t.

0 = -16t+64t+3 \\ 16t-64t-3=0 \\ use\ the\ quadratic\ formula\ \frac{-b\±\sqrt{b^2-4ac}}{2a}  \\ \frac{-(-64)\±\sqrt{(-64)^2-4(16)(-3)}}{2*16}  = \frac{64\±\sqrt{4096+192}}{32}

= \frac{64\±\sqrt{4288}}{32} = \frac{64\±8\sqrt{67}}{32} = \frac{8\±\sqrt{67}}{4} = \boxed{\frac{8+\sqrt{67}}{4}\ or\ 2-\frac{\sqrt{67}}{4}}

So the ball will return to the ground at the positive value of \boxed{\frac{8+\sqrt{67}}{4}} seconds.

What about the vertex? Simple! Since all parabolas are symmetrical, we can just take the average between our two answers from above to find t at the vertex and then plug it in to find h!

\frac{1}2(\frac{8+\sqrt{67}}{4}+2-\frac{\sqrt{67}}{4}) = \frac{1}2(2+\frac{\sqrt{67}}{4}+2-\frac{\sqrt{67}}{4}) = \frac{1}2(4) = 2

h=-16t^2+64t+3 \\ h=-16(2)^2+64(2)+3 \\ \boxed{h=67}


8 0
3 years ago
Find the area of a trapezoid with base 1 side = 10 base 2 side = 16 and 3​
mart [117]

Answer:

Area of Trapezoid is 39 unit²

Step-by-step explanation:

Given as :

For A Trapezoid

The measure of base side 1 = b_1 = 10 unit

The measure of base side 2 = b_2 = 16 unit

The height of the Trapezoid = h = 3 unit

Let  The Area of Trapezoid = A square unit

<u>Now, From Formula</u>

Area of Trapezoid = \dfrac{1}{2} × (sum of opposite base) × height

I.e A =  \dfrac{1}{2} × (b_1 + b_2) × h

Or, A =  \dfrac{1}{2} × (10 unit + 16 unit) × 3 unit

Or, A =  \dfrac{1}{2} × (26 unit) × 3 unit

Or, A =  \dfrac{1}{2} × 78 unit²

Or, A = \dfrac{78}{2} unit²

I.e A = 39 unit²

So, The Area of Trapezoid = A = 39 unit²

Hence, The Area of Trapezoid is 39 unit² . Answer

6 0
3 years ago
1. A sum of money is shared among Jessica, Amanda, and Beverly in the ration 8:9:3
astra-53 [7]

Answer:

$200

Step-by-step explanation:

Amanda       Beverly

     9         :       3

difference between Amanda and Beverly = 9 - 3 = 6 portions.

∴ value of 6 portions = $60

   value of 1 portion  =  $ 60 / 6

                                  = $10

Total no. of portions = 8 + 9 + 3 = 20

Total sum of money to be shared = value of 1 portion x Total no. of portions

                                                         = $10 x 20

                                                         = <u>$200</u>

8 0
2 years ago
Help!!!!!!!!!!!!!!!!!!!!
aleksandr82 [10.1K]

Answer: the answer is The best measure of the center for this data is the median which has a value of 23

Step-by-step explanation: Hope this help plz mark me as brainiest

3 0
3 years ago
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