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NeX [460]
3 years ago
5

In the figure, PQ is parallel to RS. The length of PQ is 2 cm; the length of

Mathematics
1 answer:
Rashid [163]3 years ago
5 0

Answer:

Step-by-step explanation:

Parallel lines in this kind of triangle are always in a strict ratio of small to large or large to small based on how you look at it. So we have 4cm to 6cm, which is 2:3 ratio. We know the smaller side, but want the larger side, so we can set up 2/3 = 10/? the ? is 15.  

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At a NASCAR racetrack, the distance per lap is 2 miles. Lou Lambert drives his car at a constant rate of 160 miles per hour. Ral
Nezavi [6.7K]

Answer:

<em>24 minutes</em>

<em></em>

Step-by-step explanation:

Given:

Distance per lap = 2 miles

Speed of Lou Lambert = 160 miles/hr

Speed of Ralph Redding = 170 miles/hr

Speed difference between the two = 170 - 160 = 10 miles/hr

Therefore, we can say that <em>Ralph gains 10 miles in 60 minutes </em>over Lou<em>.</em>

We have to find the time in which Ralph will gain 2 laps i.e. 2 \times 2 = 4 miles.

Let us use unitary method to find the required time.

10 miles are gained by Ralph in 60 minutes

1 mile will be gained in \frac{60}{10} = 6\ minutes

4 miles will be gained in 6 \times 4 = <em>24 minutes</em>

7 0
3 years ago
Evaluate 3/5 - 3/10 and explanation thanks
Setler [38]
It would be 3/10 because you have to create a common denominator. That would be 10. 3x2=6 and 5x2=10, so 3/5 would become 6/10, which is equivalent. If you kept the denominators the same and subtracted the numerators, you would get 3/10.
4 0
3 years ago
If inflation from last year to this year was 2% and a pair of designer jeans sold for $75 last year, what would you expect to pa
tamaranim1 [39]

Answer:

$76.5

Step-by-step explanation:

We have been given that inflation from last year to this year was 2% and a pair of designer jeans sold for $75 last year. We are asked to find the price of pair of designer jeans this year.

An inflation of 2% will increase the price of pair of jeans by 2%, so price of pair of jeans this year would be $75 plus 2% of $75.

\text{Price of pair of jeans this year}=\$75+\$75\times\frac{2}{100}

\text{Price of pair of jeans this year}=\$75+\$75\times0.02

\text{Price of pair of jeans this year}=\$75+\$1.5

\text{Price of pair of jeans this year}=\$76.5

Therefore, the price of pair of jeans would be $76.5 this year.

7 0
3 years ago
What is the length of the hypotenuse of a right triangle if each of the two legs is 4 units? square root of 8 units 4 units squa
ycow [4]
By the Pythagoras theorem, in a right triangle with the sides being a and b,

 a² + b² = Hypotenuse²

Hypotenuse² = 4² + 4²

Hypotenuse² = 16 + 16 = 2*16

Hypotenuse = √2 * √16

Thus, hypotenuse = 4√2


7 0
3 years ago
Read 2 more answers
a merchant buys a telivision for $125 and sells it for the reatail price of $200. what is the markup.
NISA [10]
Before going to the answer, let's first understand what a mark up is. The mark up is the amount that the seller will add to the purchase cost to the retail cost so that he can earn a profit. So the purchase cost of the television is 125 dollars, and the selling cost or retail cost of the television is 200 dollars. So what is the markup. Simply minus 125 dollars from 200 dollars and you will get the amount added to the purchase cost or simply the mark up. So 200 dollars - 125 dollars is 75 dollars. So 75 dollars is the markup that the merchant put on the television
8 0
3 years ago
Read 2 more answers
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