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3 years ago

Match the following terms by evaluating the expression for x=-6

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

5 0

The sum of 2 opposites =0
X+6 would now equal 0
So your answer is 0

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Noah and Lin are marketing paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 9 cubic inc

Vadim26 [7]

Answer: r = 1.69 inches

h = 2.15 inches

Step-by-step explanation: Volume of a solid is the amount of space contained within a solid.

Volume of a cone is directly proportional to radius and height:

$V=\frac{1}{3}\pi r^{2}h$

They want the cones to hold the same volume of 9 cubic inches.

If height is 3:

$9=\frac{1}{3}\pi r^{2}3$

$\pi r^{2}=9$

$r^{2}=2.864$

r = 1.69 inches

When height is 3, radius is 1.69 inches for a cone to have 9 cubic inches of volume.

If radius is 2:

$9=\frac{1}{3}\pi (2)^{2}h$

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

h = 2.15 inches

If radius is 2 inches, height of the cone is 2.15 inches.

6 0

3 years ago

A ramp is to be built beside the steps to the campus library. Find the angle of elevation of the 23-foot ramp, to the nearest

Usimov [2.4K]

Answer:

the angle of elevation is 12.56°

Step-by-step explanation:

the height of the ramp represents the opposite side and the length of the ramp the hypotenuse

we see that it has (angle, hypotenuse, opposite)

well to start we have to know the relationship between angles, legs and the hypotenuse

a: adjacent

o: opposite

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

we choose the one with opposite and hypotenuse

sin α = o/h

sin α = 5ft / 23ft

sin α = 5/23

α = sin^-1 ( 5/23)

α = 12.56°

the angle of elevation is 12.56°

3 0

3 years ago

Steven has 1/3 of package of biscuit mix left.He will use equal para of the leftover mix to make three watches of biscuits. If h

Nuetrik [128]

Answer:

1/9

Step-by-step explanation:

(1/3)/3 = 1/9

3 0

2 years ago

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AysviL [449]

The temperature at 10 pm is -3 degrees

3 0

3 years ago

Darius and Barb are playing a video game in which the higher score wins the game. Their scores are shown below. Darius’s scores:

Bumek [7]

Answer:

Darius is correct if only the median score is considered.

Step-by-step explanation:

Darius scores are; 96, 54,120, 87, 123

arrange the scores in increasing order;

54,87,96,120,123

mean = (54+87+96+120+123)/5 =480/5 =96

median =96

Barb's scores are 92,94,96,98,110

mean=(92,94,96,98,110)/5 =490/5=98

median score=96

⇒if the median score only is considered; then it is a tie because the score is 96 in both players.

8 0

3 years ago

Read 2 more answers