Answer:
840
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 14 - 7 = 21 - 14 = 7
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 7 and d = 7 , thus
= 7 + (119 × 7 ) = 7 + 833 = 840
Answer:
Step-by-step explanation:
Semicircle:
Shaded area of semicircle = area of outer semicircle - area of inner semicircle
Outer semicircle:
d = 40 m r = 40/2 = 20m
Area of outer semicircle = πr²
= 3.14*20*20
= 1256 m²
Inner semicircle:
d = 30 m r = 30/2 = 15 m
Area of outer semicircle = πr²
= 3.14*15*15
= 706.5 m²
Shaded area of semicircle = 1256 - 706.5 = 549.5 m²
Shaded area of semicircle in both sides = 2 * 549.5 = 1099 m²
<u>Rectangle on both sides:</u>
Length = 50 m
width = 30 m
Area of shaded rectangles on both sides = 2* (length *width)
= 2* 50 * 30
= 3000 m²
Shaded area = 1099 + 3000 = 4099 m²
Part A: <u>(8 × (-4))</u> <u>(-6 × (-4))</u> <u>(3 × (-4))</u>
Part B: -6 × -4 = 24. So when multiplying -6 by -4, the product should be <u>24</u>
But basically, Tiana's way of solving this question is correct while Amit's is incorrect.And this is because Amit is using PEMDAS, unlike Tiana.
Answer:
50 degrees
Step-by-step explanation:
As the kite is triangular, the sum of all angles will be 180 degrees.
Let x be the first angle.
Then according to the statement second angle is four times as large as the first, second angle will be:
4x
And according to the statement, the third angle is 55 degrees ° more than the sum of the other two angles, third angle will be:
x+4x+55
So,
x+4x+x+4x+55=180
10x+55=180
10x= 180-55
10x=125
x=125/10
x=12.5 degrees
So first angle is 12.5 degrees.
Second angle = 4(12.5)
=50 degrees
Third angle = x+4x+55
= 12.5+50+55
= 117.5 degrees
To check if the sum of angles is 180 degrees
= 12.5+117.5+50 = 180
Hence, second angle is 50 degrees ..
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