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1 year ago

Gcf of -15xyz, -55xy²,- 55yz

Mathematics

1 answer:

GalinKa [24]1 year ago

3 0

Answer:

-5y

Step-by-step explanation:

15 = 3×5

55 = 5×11

-15xyz = -1 × 3 × 5 × x × y × z

-55xy² = -1 × 5 × 11 × x × y²

-55yz = -1 × 5 × 11 × y × z

HCF = multiply all common factors with the lowest power amongst all 3 expressions

HCF = -1 × 5 × y = -5y

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Need to find volume, step by step explanation pls

worty [1.4K]

Given:

A figure of combination of hemisphere, cylinder and cone.

Radius of hemisphere, cylinder and cone = 6 units.

Height of cylinder = 12 units

Slant height of cone = 10 units.

To find:

The volume of the given figure.

Solution:

Volume of hemisphere is:

$V_1=\dfrac{2}{3}\pi r^3$

Where, r is the radius of the hemisphere.

$V_1=\dfrac{2}{3}(3.14)(6)^3$

$V_1=\dfrac{6.28}{3}(216)$

$V_1=452.16$

Volume of cylinder is:

$V_2=\pi r^2h$

Where, r is the radius of the cylinder and h is the height of the cylinder.

$V_2=(3.14)(6)^2(12)$

$V_2=(3.14)(36)(12)$

$V_2=1356.48$

We know that,

$l^2=r^2+h^2$ [Pythagoras theorem]

Where, l is length, r is the radius and h is the height of the cone.

$(10)^2=(6)^2+h^2$

$100-36=h^2$

$\sqrt{64}=h$

$8=h$

Volume of cone is:

$V_3=\dfrac{1}{3}\pi r^2h$

Where, r is the radius of the cone and h is the height of the cone.

$V_3=\dfrac{1}{3}(3.14)(6)^2(8)$

$V_3=\dfrac{25.12}{3}(36)$

$V_3=301.44$

Now, the volume of the combined figure is:

$V=V_1+V_2+V_3$

$V=452.16+1356.48+301.44$

$V=2110.08$

Therefore, the volume of the given figure is 2110.08 cubic units.

7 0

3 years ago

Four friends all use $10 off coupons to buy themselves concert tickets.

eimsori [14]

Answer:

$64

Step-by-step explanation:

Since there were 4 of them and the coupons were $10 off, they saved a total of $40

To find how much they would have spent without the coupons, add 40 to 216:

216 + 40

= 256

To find the normal cost of one ticket, divide this by 4:

256/4

= 64

So, the price of one concert ticket without the coupon is $64

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3 years ago

Please answer this for me :)

atroni [7]

Answer:

d = 1.5

Step-by-step explanation:

yes

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4 years ago

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How to solve for quadratic equations with inequalities?

Inga [223]

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4 years ago

What is 8 3/4 ÷ 2 7/8 (show ur work)

xxMikexx [17]

Answer:

see below:-

Step-by-step explanation:

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