Answer:
196 cm²-153.9375 cm² = 42.0625 cm ²
Step-by-step explanation:
First, solve for the whole 14^2 = 196 cm²
Now, we know it's lenths are the same so it's a square.
Lastly we need to deduct the quarter circle in the square. Use Formula A=πr² = A≈615.75 cm² /4 = 153.9375 cm²
Here, RUMH and RUBM are two rhombus as shown in the diagram.
As, a rhombus has four equal sides,
so for RUMH, side RH = side HM = side MU = side UR
and for RUBM, side RM = side MB = side BU = side UR
As HM=UR and MB= UR , so we can write HM = MB
Now for two triangles ΔRHM and ΔUMB,
side RH = side MU
side RM = side BU
and side HM = side MB
'Side Side Side' theorem states that if three sides of one triangle are equal to three sides of another triangle respectively, then the two triangles are similar.
That means, ΔRHM = ΔUMB
Answer:
NO
Step-by-step explanation:
(x, y) so if you plug in your points... 13 = 2(3) - 13
To solve:
Multiply: 13 = 2(3) - 13
Subtract: 13 = 6 - 13
Answer: 13 does not equal -7
Answer:
See answers below
Step-by-step explanation:
Expand the brackets. 7 ( 5 + g ) 11 ( 3s – 4 ) 4 ( 4 – x ) 8 ( 6 + 4w )
We will expand each of the bracket using distributive property
For the expression 7(5+g)
7(5)+7g
= 35+7g
For the expression 11(3s-4)
= 11(3s)-11(4)
= 33s-44
For the expression 4(4-x)
= 4(4)-4x
= 16-4x
For the expression 8(6+4w)
= 8(6)+8(4w)
= 48+32w
Answer:
Step-by-step explanation:
<h3>(a)</h3>
The nearest squares to 220 are 14² = 196 and 15² = 225. Since 220 is closer to 225 than to 196, the nearest whole number to the square root of 220 is 15.
The square root of -220 is imaginary, so the nearest whole number value will be 15i.
__
<h3>(b)</h3>
The decimal fraction part of the root can be estimated from the nearest squares to be ...
(220 -196)/(225 -196) ≈ 0.828
Then the root of 220 to the nearest tenth is 14.8. The root of -220 to the nearest tenth will be the imaginary number 14.8i.