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4 years ago

6

At a restaurant, the bill comes to $60. If you decide to leave a 14% tip, how much is the tip?

1 answer:

Allisa [31]4 years ago

7 0

60 times 0.14 = 8.4

You would give $8.40 as a tip of 14% from a bill of $60

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If x+6>2x+4, which of the following is NOT a possible value for x? part 2

puteri [66]

I dont know i am just guessing so yeah just give me a l

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3 years ago

Match each spherical volume to the largest cross sectional area of that sphere

zlopas [31]

Answer:

Part 1) $324\pi\ units^{2}$ ------> $7,776\pi\ units^{3}$

Part 2) $36\pi\ units^{2}$ ------> $288\pi\ units^{3}$

Part 3) $81\pi\ units^{2}$ ------> $972\pi\ units^{3}$

Part 4) $144\pi\ units^{2}$ ------> $2,304\pi\ units^{3}$

Step-by-step explanation:

we know that

The largest cross sectional area of that sphere is equal to the area of a circle with the same radius of the sphere

Part 1) we have

$A=324\pi\ units^{2}$

The area of the circle is equal to

$A=\pi r^{2}$

so

$324\pi=\pi r^{2}$

Solve for r

$r^{2}=324$

$r=18\ units$

Find the volume of the sphere

The volume of the sphere is

$V=\frac{4}{3}\pi r^{3}$

For $r=18\ units$

substitute

$V=\frac{4}{3}\pi (18)^{3}$

$V=7,776\pi\ units^{3}$

Part 2) we have

$A=36\pi\ units^{2}$

The area of the circle is equal to

$A=\pi r^{2}$

so

$36\pi=\pi r^{2}$

Solve for r

$r^{2}=36$

$r=6\ units$

Find the volume of the sphere

The volume of the sphere is

$V=\frac{4}{3}\pi r^{3}$

For $r=6\ units$

substitute

$V=\frac{4}{3}\pi (6)^{3}$

$V=288\pi\ units^{3}$

Part 3) we have

$A=81\pi\ units^{2}$

The area of the circle is equal to

$A=\pi r^{2}$

so

$81\pi=\pi r^{2}$

Solve for r

$r^{2}=81$

$r=9\ units$

Find the volume of the sphere

The volume of the sphere is

$V=\frac{4}{3}\pi r^{3}$

For $r=9\ units$

substitute

$V=\frac{4}{3}\pi (9)^{3}$

$V=972\pi\ units^{3}$

Part 4) we have

$A=144\pi\ units^{2}$

The area of the circle is equal to

$A=\pi r^{2}$

so

$144\pi=\pi r^{2}$

Solve for r

$r^{2}=144$

$r=12\ units$

Find the volume of the sphere

The volume of the sphere is

$V=\frac{4}{3}\pi r^{3}$

For $r=12\ units$

substitute

$V=\frac{4}{3}\pi (12)^{3}$

$V=2,304\pi\ units^{3}$

5 0

3 years ago

Read 2 more answers

Use the diagram below: H is the circumcenter of triangle BCD, BC = 18 and HD = 14. Find EH.

just olya [345]

Answer:

10.72

Step-by-step explanation:

<h3>Given</h3>

H is the circumcenter of triangle BCD,
BC = 18
HD = 14

<h3>To find </h3>

Length of EH

<h3>Solution</h3>

Triangle BHD is isosceles, therefore BH = HD
Point E is midpoint of BC, therefore BE = 1/2BC

<u>Using Pythagorean, finding the value of EH:</u>

EH = √(BH² - BE²) = √(14² - (18/2)²) = √(196 - 81) = √115 = 10.72

7 0

3 years ago

Read 2 more answers

What’s the triangle similarity theorem?

marusya05 [52]

Answer:If a segment is parallel to one side of a triangle and intersects the other two sides, then the triangle formed is similar to the original and the segment that divides the two sides it intersects is proportional

Step-by-step explanation:

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3 years ago

If i went to the store to buy sandwiches should i buy $4.95 for 3 sandwiches or $6.72 for 4 sandwiches what is the best deal?

Vadim26 [7]

Best deal would be 4.95 for 3 because if you divide the numbers you end up paying more money for the 4 sandwiches. For comparison heres my results
$4.95 for 3 - $1.65 each
$6.72 for 4 - $1.68 each

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3 years ago