What is the measure of angle ABC?

Mathematics

1 answer:

olga_2 [115]4 years ago

3 0

Answer:

∠ ABC = 58°

Step-by-step explanation:

The measure of the inscribed angle ABC is one half the measure of its intercepted arc AC, that is

∠ ABC = 0.5 × 116° = 58°

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You can model the population of a certain city between the years 1965 and 1995 by the radical function P(x) = 75,000 ^3sqrt x-19

LuckyWell [14K]

Answer: B. 1975

Step-by-step explanation:

Given: The model of population of a certain city between the years 1965 and 1995 by the radical function

$P(x)=75000\sqrt[3]{x-1940}$

To find the x year at which population is 245,000, put this in equation we get

$245000=75000\sqrt[3]{x-1940}\\\\\Rightarrow\frac{245000}{17000}=\sqrt[3]{x-1940}\\\\\Rightarrow3.266=\sqrt[3]{x-1940}\\\\\Rightarrow\ x-1940=(3.266)^3..........\text{[by taking cube on both sides]}\\\\\Rightarrow\ x-1940=34.8587\\\\\Rightarrow\ x=1940+34.8587\\\\\Rightarrow\ x=1974.8587\approx1975$

Hence, at year 1975 the population of the city is 245,000.

5 0

3 years ago

Read 2 more answers

Graph the line x-y= -1 <br>

hammer [34]

Answer:

y = x + 1

Step-by-step explanation:

x - y = -1

-y = -x - 1

y = (-x - 1) ÷ -1

y = x + 1

8 0

3 years ago

What is the image point of (0,-6) after the transformation D 1/2 or y-axis?

rewona [7]

I think you multiply 1/2 by the x and y point

1/2(0)= 0
1/2(-6)= -3

(0,-3)

6 0

3 years ago

Fatima plotted one side of a heptagon on a grid. the points (-8,1) and (-8,8) are joined to form a side of the heptagon. Fatima

Reil [10]

The general formula for the distance between two points is

$d(A,B) = \sqrt{(A_x-B_x)^2 + (A_y-B_y)^2}$

Anyway, if A and B have the same x or y coordinates, this formula can be simplified. For example, in this case the two points have the same x coordinate of -8, so the following part of the formula simplifies:

$(A_x-B_x)^2 = (-8-(-8))^2 = (-8+8)^2 = 0^2 = 0$