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3 years ago

1. What's the size of ∠ABC shown in the above figure?

Mathematics

2 answers:

Dominik [7]3 years ago

7 0

Answer:

Option D

m∠ABC= $35\°$

Step-by-step explanation:

we know that

The inscribed angle measures half that of the arc comprising

In this problem

m∠ABC is the inscribed angle

m∠ABC= $\frac{1}{2}(arc\ AC)$

$arc\ AC=70\°$ -------> by central angle

substitute

m∠ABC= $\frac{1}{2}(70\°)=35\°$

s2008m [1.1K]3 years ago

5 0

It's not enough details to solve this task but I think I've got it right. Size of OAB = AOC then ABC is D. 35.

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The population at Bishop High School is 2000 students in 2011. Every year the population decreases by 50 students

Artemon [7]

Answer:

Let p be the population at t be the number of years since 2011. Then, $p=2000-50t$

The projected population of the high school in 2015=1800
In 2019 the population be 1600 students

Step-by-step explanation:

Given: The population at Bishop High School students in 2011 =2000

Also, Every year the population decreases by 50 students which implies the rate of decrease in population is constant.

So, the function is a linear function.

Let p be the population at t be the number of years since 2011.

Then, $p=2000-50t$

So at t=0, p=2000

In year 2015, t=4, substitute t=4 in the above equation ,we get

$p=2000-50(4)\\\Rightarrow\ p=2000-200\\\Rightarrow\ p=1800$

Hence, the projected population of the high school in 2015=1800

Now, put p=1600 in the function , we get

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Now, 2011+8=2019

Hence, in 2019 the population be 1600 students

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Dima020 [189]

Answer:

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Step-by-step explanation:

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15 POINTS! What is the correct answer for Dean's problem? Explain where he went wrong.

prohojiy [21]

Answer:

The slope is 5/-2.

Step-by-step explanation:

Slope is y1-y2 over m1-m2 (rise over run). The first ordered pair is -2 (m1) and 11 (y1). We then subtract the second ordered pair (4 (m2) and -4 (y2)) from the first.

11 - (-4) = 11 + 4 = 15

-2 - 4 = -6

Remember, slope is rise over run (y over x), so the slope is 15/-6. Now, we must simplify. 15/-6 = 5/-2

Dean went wrong because he thought that slope was run over rise (x over y). If he had switched the two numbers, his answer would have been correct.

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3 years ago