The algebraic equation for a linear pattern is 3x + 4. Use a table of values to

Mathematics

1 answer:

velikii [3]2 years ago

3 0

Answer:

explanation and answer

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Let $DEF$ be an equilateral triangle with side length $3.$ At random, a point $G$ is chosen inside the triangle. Compute the pro

umka21 [38]

$|\Omega|=(\text{the area of the triangle})=\dfrac{a^2\sqrt3}{4}=\dfrac{3^2\sqrt3}{4}=\dfrac{9\sqrt3}{4}\\|A|=(\text{the area of the sector})=\dfrac{\alpha\pi r^2}{360}=\dfrac{60\pi \cdot 1^2}{360}=\dfrac{\pi}{6}\\\\\\P(A)=\dfrac{\dfrac{\pi}{6}}{\dfrac{9\sqrt3}{4}}\\\\P(A)=\dfrac{\pi}{6}\cdot\dfrac{4}{9\sqrt3}\\\\P(A)=\dfrac{2\pi}{27\sqrt3}\\\\P(A)=\dfrac{2\pi\sqrt3}{27\cdot3}\\\\P(A)=\dfrac{2\pi\sqrt3}{81}\approx13.4\%$

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4 years ago

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What is equal to 275%

Alla [95]

As a decimal, you would have to divide 275 by 100

275/100 = 2.75

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3 years ago

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It takes Juwan exactly 35 minutes by car to get to his grandmother. The nearest parking area is a 4 minute walk from her apartme

vfiekz [6]

Answer:

4 trips

Step-by-step explanation:

First, let's put all data in minutes.

One trip to granny's home takes 35m to go plus 35m to come back, plans 4m for waking from the parking to the apartment and some other 4m for going to get the car to come home. So the total time spent on one trip is:

35+35+4+4=78 minutes

The total time he counted was 5h12m. If we put this in minutes we need tu multiply the hours by 60 (as every hour has 60 minutes) and sum the 12 minutes:

5*60 + 12 = 300+12=312 minutes total.

If 312 is total time and 78 is the time for one trip, the ratio gives the amount of trips:

312/78=4

So, he made 4 trips, all of them took 78 minutes (you can verify it by summing 78 4 times).

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4 years ago

Smith Engineering is in the process of reviewing the salaries of their surveyors. During this review, the company found that an

siniylev [52]

Answer:

T = 3.5 hours

Step-by-step explanation:

this is a rate problem.