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Gelneren [198K]
2 years ago
15

Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is disp

layed on the left. Who had a head start, and how big was the head start? ________had a head start of _________ meter

Mathematics
1 answer:
grin007 [14]2 years ago
5 0

Answer:

ryan had a head start 10 meters

Step-by-step explanation:

hope this help

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Triangle MNO is an equilateral triangle with sides measuring 16 StartRoot 3 EndRoot units. Triangle M N O is an equilateral tria
Lesechka [4]

Answer:

The correct option is second one i.e 24 units.

Therefore the height of the triangle is

NR=24\ units

Step-by-step explanation:

Given:

An equilateral triangle has all sides equal.

ΔMNO is an Equilateral Triangle with sides measuring,

NM = MO = ON =16\sqrt{3}

NR is perpendicular bisector to MO such that

MR=RO=\dfrac{MO}{2}=\dfrac{16\sqrt{3}}{2}=8\sqrt{3} .NR ⊥ Bisector.

To Find:

Height of the triangle = NR = ?

Solution :

Now we have a right angled triangle NRM at ∠R =90°,

So by applying Pythagoras theorem we get

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

Substituting the values we get

(MN)^{2} = (MR)^{2}+(NR)^{2}\\\\(16\sqrt{3})^{2}=(8\sqrt{3})^{2}+(NR)^{2}\\\\(NR)^{2}=768-192=576\\Square\ rooting\ we\ get\\NR=\sqrt{576}=24\ units

Therefore the height of the triangle is

NR=24\ units

6 0
1 year ago
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Mary throws a plastic disc to her friend. Her friend catches the disc six seconds after Mary throws it. The table shows the heig
RUDIKE [14]

Answer:

A=4 B=3

Step-by-step explanation:

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2 years ago
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Which model represents the factors of x2 + 9x + 8?
Tomtit [17]

Answer: the answer is D

Step-by-step explanation:

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1 year ago
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Glen received $2,250 loan from bank. After six months, he paid back $2,295 and closed the loan. Find the rate of interest
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8 0
1 year ago
azul is planting a vegetable garden. he is using a bag of marbles to determine how many of each veggie to plant. his bag contain
kaheart [24]
1. Total number of marbles=10 red marbles+80 green marbles+110 orange marbles=200 marbles
2. Let's call "V" the event that consists that he selects a green marble from the bag. Then:
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 P(x)=0.4

 3. This problem can be represented by a binomial distribution, where:

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 4. The expect value in a binomial function is written as below:

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1 year ago
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