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Elenna [48]
3 years ago
14

Shelly biked 21 miles in 4 hours. How long will it take Shelly to bike 63 miles?

Mathematics
2 answers:
nevsk [136]3 years ago
5 0
In order to do this, you need to use the equation:
distance=rate x time

So if you want to find out how long it will take you plug 63 miles into the equation.

63 miles=Rate x Time

You want to find out how long so you need the rate.

You can find the rate from the first sentence.

21miles=Rate X 4 hours
Rate=21/4 miles per hour
Plug this into the original equation.

63=(21/4)(time)

Time=12 hours
Anna35 [415]3 years ago
3 0
You can set up a proportion. So we see that shelly biked 21 miles in 4 hours. \frac{21}{4} * \frac{63}{x}. Now you can cross multiply and get 21x (21 * x) = 252 (63*4). Then use the division property of equality and divide both sides by 21 to get x = 12 hours. Therefore Shelly biked 63 miles in 12 hours. Hope this helps! :D. Feel free to ask more questions, or ask questions about my explanation.
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1. M is the midpoint of LN and O is the midpoint of NP.
Reptile [31]
1. M is the midpoint of LN and O is the midpoint of NP. This makes the triangle MNO equal to half of LNP. Then you can get this equation
MO= (1/2) LP

If you insert MO = 2x +6 and LP = 8x – 20 the calculation would be:
2x+6= (1/2)( 8x-20)
2x+6= 4x-10
2x-4x= -10 - 6
-2x= -16
x=8

2. Centroid is the point that intersects with three median lines of the triangle. The centroid should divide the median lines into 1:2 ratio. In AC lines, A located in the base so A.F:FC would be 1:2

Then, the answer would be:
A.F= 1/(1+2) * AC
A.F= 1/3 * 12= 4

FC= 2/(1+2) * AC
FC= 2/3 * 12= 8

3. Since
∠BAD=∠DAC
∠ABD=∠ACD
AD=AD
The triangle ABD and ACD are similar. You can get this equation
BD=DC
x+8= 3x+12
x-3x= 12-8
-2x=4
x=-2

DC=3x+12= 3(-2) +12= 6

4. Orthocenter made by intersection of triangle altitude
A
BC lines slope would be (-4)-(-1)/1-4= -3/-3= 1. The altitude line slope would be -1, the function would be:
y=-x +a
0= 1+a
a=-1
y=-x-1
B
AC lines slope would be (-4)-(-1)/1-0= -3. The altitude line slope would be 1/3, the function would be:
y=1/3x+a
-1=1/3(4)+a
a=-7/3
y=1/3x - 7/3

C
BC lines slope would be (-1)-(-1)/4 = 0/4. 
The line would be 
0=x+a
a=-1
0=x-1
x=1

y=-x-1 = 1/3x-7/3
-x-(1/3x)=-7/3 +1
-4/3x= -4/3
x=1

y=-x-1
y=-1-1= -2
The orthocenter would be (1,-2)

5. 
a. Circumcenter: the intersection of perpendicular bisector lines<span>
b. Incenter: the intersection of bisector lines
c. Centroid: </span>the intersection of median lines<span>
d. Orthocenter: </span>the intersection of altitude lines
5 0
3 years ago
Show correct answers only!! i need asap!!
SOVA2 [1]

Answer:

11 1/2 aka D

Step-by-step explanation:

add 7 and 4 which is 11, then add 1/4 and 1/4 which is 1/2

4 0
3 years ago
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In ΔSTU, the measure of ∠U=90°, the measure of ∠T=32°, and US = 5.8 feet. Find the length of ST to the nearest tenth of a foot.
murzikaleks [220]

Answer:

10.9451≈10.9 feet

Step-by-step explanation:

sinT= hypotenuse/ opposite = x/5.8

sin32= x/5.8

x*sin 32=5.8

x=5.8/sin 32= <u>10.9451≈10.9 feet</u>

8 0
2 years ago
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larisa [96]

Step-by-step explanation:

304

plug 4 in for x

3(4)^2 + 4(4)^3 = 304

48 + 256 = 304

6 0
2 years ago
The diagram shows a sector of a circle of radius 4 cm.<br> work out the length of the arc abc
Zielflug [23.3K]
Need to know the angle for this I think?
3 0
3 years ago
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