Answer:
1. -370
2. 70
3. 10.75
4. 6700
5. 37.26
Step-by-step explanation:
1. Estimating the solution means round the numbers to the nearest ten, then subtract the rounded numbers.
2. Same thing as #1
3. Using long division, it should be quite easy. If you need more evaluation, comment and I'll answer.
4. To the nearest hundred, you write the closest exact hundred. example: 8334 would be rounded to 8300.
5. To the nearest hundredth, you write the closest exact hundredth. example: 65.734 would be rounded to 65.73
Hope this helped, good luck!
Given that,
In <u>triangle TPQ, </u>
As it is given that, <u>RS || PQ</u>
So, it means
⇛∠TRS = ∠TPQ [ Corresponding angles ]
⇛ ∠TSR = ∠TPQ [ Corresponding angles ]
<u>Now, We know </u>
Area Ratio Theorem,
This theorem states that :- The ratio of the area of two similar triangles is equal to the ratio of the squares of corresponding sides.
Answer:
21 meters
Step-by-step explanation:
First find the circumference of the tire:
c = πd
c = 3.14(670)
c = 2103.8
Multiply by 10 to find the distance the bike has travelled:
2103.8*10 = 21,038
Convert millimeters to meters:
21,038 millimeters ≈ 21 meters
Answer:
Step-by-step explanation: This is the quadratic function:
h(x)=ax²+bx+c
We have two points:
(1,58)
(2,112)
Now, we calculate this quadratic funtion.
we assume that h(0)=0
Therefore:
a(0)²+b(0)+c=0
c=0
(1,58)
a(1)²+b(1)=58
a+b=58 (1)
(2,112)
a(2)²+b(2)=112
4a+2b=112
2a+b=56 (1)
With the equations (1) and (2) we make a system of equations:
a+b=58
2a+b=56
we can solve this system of equations by reduction method.
-(a+b=58)
2a+b=56
---------------------
a=-2
-2(a+b=58)
2a+b=56
-------------------
-b=-60 ⇒ b=60
The function is:
h(x)=ax²+bx+c
h(x)=-2x²+60x
Now find the height, in feet, of the rock after 10 seconds in the air.
h(10)=-2(10)²+60(10)
h(10)=-200+600=400
Answer: 400 ft.
Actually, yes, it is possible for two different numbers to give the same result when squared.
In my last answer, I wrote that it wasn't, but I realize now where my mistake was made.
When a number like positive 4 is squared, the answer is 16. When a number like negative 4 is squared, the answer is also 16. I think that the only time when two different squared numbers have the same result is when they are the same number but have a different positive/negative sign.
I hope this helps.
