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prohojiy [21]
3 years ago
6

Question 13 and 14 and 15

Mathematics
1 answer:
erik [133]3 years ago
3 0
If you know the rules, you don't actually have to graph these to check if they're perpendicular, parallel, or neither.

parallel slopes are the same
perpendicular slopes are the opposite reciprocals
"neither" slopes fall into neither category

you should still follow directions and graph them if your teacher expects it, but with that knowledge:
13. y = 4x+7 and y = (-1/4)x-3
the slopes here, 4 and -1/4, are opposite reciprocals, so these lines are perpendicular

14. y = 3x-4 and y = 3x+1
the slopes here, 3 and 3, are the same, so these lines are parallel

15. y = x+5 and y = -5x-1
the slopes here, 1 and -5, have no relation in this case, so these lines are neither
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3 years ago
Christine owns 9 hair bands and additional hair bands are 2 for a dollar. How much money does she need to spend on hair bands in
kirill [66]

Answer: $20

Step-by-step explanation:

If she already has 9, and she needs 49, take that extra 9 off 49 and then she needs 40 more and she gets 2 for a dollar, she'll need to spend $20 to get 40 headbands. Can I please get Brainliest?

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3 years ago
3. A balancing balloon toy is in the shape of a hemisphere (half-sphere) attached to the base of a cone. If the toy is 4ft tall
Katen [24]

Answer:

The volume of the toy is V=5.23\ ft^3

Step-by-step explanation:

step 1

Find the volume of the hemisphere

The volume of the hemisphere is given by the formula

V=\frac{2}{3}\pi r^{3}

In this problem, the wide of the toy is equal to the diameter of the hemisphere

so

D=2\ ft

r=2/2=1\ ft ----> the radius is half the diameter

substitute

V=\frac{2}{3} \pi (1)^{3}=\frac{2}{3} \pi\ ft^3

step 2

Find the volume of the cone

The volume of the cone is given by

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

we know that

The radius of the cone is the same that the radius of the hemisphere

so

r=1\ ft

The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy

h=4-1=3\ ft

substitute the given values

V=\frac{1}{3}\pi (1)^{2}(3)=\pi\ ft^3

step 3

Find the volume of the toy

we know that

The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.

so

V=(\frac{2}{3} \pi+\pi)\ ft^3

V=(\frac{5}{3}\pi)\ ft^3

assume

\pi=3.14

V=\frac{5}{3}(3.14)=5.23\ ft^3

5 0
3 years ago
Which is greater than, less than, and equal to 18 tons or 36,000 lbs?
slamgirl [31]
36000 lbs = 16329.325 kg
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18 ton is greater
5 0
3 years ago
The Sognefjord is the deepest fjord in Norway at 1,308 metres (4,291 ft) If a submersible floating on the surface was to dive ve
natali 33 [55]

Answer:

36 minutes

Step-by-step explanation:

Depth of the fjord = 1308 m

Rate at which the submersible dives = 35 meters/minute

Distance to the bottom of the fjord should be 48 m

Distance the submersible has to go underwater is 1308-48=1260\ \text{m}

Time is found by dividing the distance the submersible has to go underwater by rate at which the submersible dives

\dfrac{1263}{35}=36\ \text{minutes}

The time taken by the submersible to dive the required distance is 36 minutes.

6 0
3 years ago
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