Mathematics, 29.07.2020 20:01 isisg8

Given: ΔABC, AC = BC, AB = 3 CD ⊥ AB, CD = √3 Find: AC

Answers: 1

Show answers

Answers

Answer from: srl63

$\boxed{AC = 2.3}$

Step-by-step explanation:

AD = BD (CD bisects AB means that it divides the line into two equal parts)

So,

AD = BD = AB/2

So,

AD = 3/2

AD = 1.5

Now, Finding AC using Pythagorean Theorem:

c^2 = a^2+b^2

Where c is hypotenuse (AC), a is base (AD) and b is perpendicular (CD)

$AC^2= (1.5)^2+(\sqrt{3} )^2$

AC^2 = 2.25 + 3

AC^2 = 5.25

Taking sqrt on both sides

AC = 2.3

Answer from: THEOUTCOMER

$\boxed{2.29}$

Step-by-step explanation:

The length of AB is 3 units.

The length of CD is $\sqrt{3}$ units.

D is the mid-point of points A and B.

AD is half of AB.

$\frac{3}{2} =1.5$

Apply Pythagorean theorem to solve for length of AC.

$c=\sqrt{a^2 +b^2 }$

The hypotenuse is length AC.

$c=\sqrt{1.5^2 +(\sqrt{3}) ^2 }$

$c=\sqrt{2.25+3 }$

$c=\sqrt{5.25}$

c= 2.291288...

Answer from: Quest

the range of a function is the range of y-values for which it is defined, or exists. given that we are only looking at the y-values, we can already discount the first two answers as they deal with the domain of the function (range of x-values).

now, what we need to do is find the smallest and highest y-values for which the function is defined. if you'd like, you could take a ruler and start at the very bottom of the graph, find the lowest point, then move the ruler higher and higher until you reach the highest point. doing so either in your head or with an actual ruler, we can see that the lowest y-value is -5 and the highest y-value is -1.

the question now remains as to whether they are included in the range (fourth answer) or excluded (third answer). the key here is to recognise whether they are marked with an open or a closed circle. since both (-2, -5) and (2, -1) are marked with a closed circle, they are points that exist on the graph and are thus included in the range (note that if they were marked with an open circle like (4, -2) then that would signify that there is a break in the graph at that point).

thus, the fourth answer, (y | -5 ≤ y ≤ -1), is correct.

also note that usually it is good practice to scan your eye inbetween the highest and lowest point for any breaks in the graph - we do have one here at (4, -2), however -2 is still included in the range because there is another point that is included in the graph with the same y-value, ie. point (1, -2).

i hope that but if you require any further explanation don't hesitate to comment below.

Me if you can and if you finished this lesson on edg- comment you.

Answer from: Quest

depends on how many days you are talking about

step-by-step explanation:

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 12:30, yashajanjan8550

What is the percent of increase for a population that changed from 438,000 to 561,000

Answers: 1

continue

Mathematics, 21.06.2019 15:30, Reese7977

Adepartment store purchases screen-printed t-shirts at a cost of $5 per shirt. they mark up the price 150% (making the selling price 250% of the store's purchase price) and put them on the sales floor. every month that a t-shirt doesn't sell, the store reduces the selling price by 25%.

Answers: 3

continue

Mathematics, 21.06.2019 22:30, evanwall91

The ivring berlin learning center would like a possible net profit of $650,000 on its new resource manual it sells to schools. the fixed costs for producing the manual are $780,000 and the variable cost per package is $19.85. if the estimated unit sales are 1,250,000 units, what selling price unit should the ivring berlin learning center try?

Answers: 1

continue

Mathematics, 21.06.2019 23:10, krystalhurst97

What is the distance between the points (2, 5) and (5,9)?

Answers: 1

continue

You know the right answer?

Given: ΔABC, AC = BC, AB = 3 CD ⊥ AB, CD = √3 Find: AC
...