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Ann [662]
3 years ago
13

Alex ran 12.8 km in the morning. After​ lunch, he continued running. When he finished the​ run, he had covered 31.4 km in all. W

rite an equation that can be used to find how far Alex ran after lunch.
Let r be the distance in kilometres that Alex ran after lunch.
Mathematics
1 answer:
Ulleksa [173]3 years ago
3 0

Answer:

12.8 km + r = 31.4 km

Step-by-step explanation:

First, Alex ran 12.8 km, then he ran an r amount of km. Added together they equal 31.4 km.

If you need to solve the equation you subtract 12.8 from 31.4 and will give you the amount of miles he ran after lunch.

Ex.: r = 31.4 km - 12.8 km

      r = 18.6 km

Alex ran 18.6 km after lunch

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3/8 of the seventh grade students were taking advanced math at the beginning of the year, but seven dropped out by the end of th
lara [203]

Answer:

416 I believe.

Step-by-step explanation:

add 7 to 149

divide 156 by 3 to get 1/8 of total.

Get 52 and then multiply by 8 to get 416

3 0
3 years ago
An angle of measure 120 degrees intersects the unit circle at point (-1/2,√3/2) What is the exact value of cos(120)
notka56 [123]

The exact value of cos120 if the measure 120 degrees intersects the unit circle at point (-1/2,√3/2) is 0.5

<h3>Solving trigonometry identity</h3>

If an angle of measure 120 degrees intersects the unit circle at point (-1/2,√3/2), the measure of cos(120) can be expressed as;

Cos120 = cos(90 + 30)

Using the cosine rule of addition

cos(90 + 30) = cos90cos30 - sin90sin30

cos(90 + 30) = 0(√3/2) - 1(0.5)

cos(90 + 30) = 0 - 0.5

cos(90 + 30) = 0.5

Hence the exact value of cos120 if the measure 120 degrees intersects the unit circle at point (-1/2,√3/2) is 0.5

Learn more on unit circle here: brainly.com/question/23989157

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7 0
2 years ago
Does (–3, 17) make the equation y = 6x + –1 true?
telo118 [61]

Answer:

ture

Step-by-step explanation:

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6 0
2 years ago
Is 2 an irrational number
Lena [83]

Answer:

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Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen he sells it at Rs 80 a pair find the gain p
bagirrra123 [75]

Given,

CP of cosmetics = Rs 360 per dozen

SP of a pair of cosmetics = Rs 80

To find,

The gain percent

Solution,

1 dozen = 12 items

CP of 1 cosmetic = 360/12 = Rs 30

SP of 1 cosmetic = 80/2 = Rs 40

Profit = SP-CP

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= Rs 10

Profit percentage is given by :

\%=\dfrac{profit}{CP}\times 100\\\\=\dfrac{10}{30}\times 100\\\\=33.34\%

So, the profit percentage is 33.34%.

5 0
2 years ago
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