Answer:
I think the answer is D. 4
5√2 · 9√6
Simplify.
5 × 9 √ 2 x 6 ⇒ Multiply 2 × 6.
5 × 9 √12
Simplify √12 to 2√3.
5 × 9 × 2√3 ⇔ Multiply
90√3
Therefore, the <u>correct alternative</u> is <u>option "B".</u>
Answer:
6.36l
Step-by-step explanation:
We compute first the volume:
V=pi×h/3×(R²+r²+rR), where h=20cm is the height, R=24/2=12cm is the top radius, r=16/2=8cm is the bottom radius.
We get: V=pi×20/3(12²+8²+12×8)=
20×pi/3(144+64+96)cm³
V=20×pi/3×304=6363.73cm³
In dm³ we have (divide by 1000) V=6.36dm³
By definition, 1dm³=1l, so the capacity is 6.36l
Tan is sin over cos do tan they = (3/5)/(4/5) = 3/4
The total number of stickers the 2 children had was 192 stickers.
Let x represent Mary initial stickers, y represent Gary initial stickers and z represent the total stickers.
x + y = z
They shared in the ratio of 5:3, hence:
x = (5/8)z
Mary gives 1/3 of her stickers to Gary to have 32 more stickers than her.
(1/3)x = (1/3)(5/8)z = (5/24)z
y + (1/3)x = (2/3)x + 32
Solving equation 1, 2 and 3 gives:
x = 120, y = 72, z = 192
The total number of stickers the 2 children had was 192 stickers.
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