Surface area of a cylinder

Name all the angles that have v as vertex

AnnZ [28]

Step-by-step explanation:

. The vertex for angle BAC, written ∠BAC, is point A. The angle can also be named as ∠CAB or by only its vertex, ∠A. W

8 0

2 years ago

What are the coordinates of the circumcenter of this triangle?

Oduvanchick [21]

Answer:

The coordinates of the circumcenter of this triangle are (3,2)

Step-by-step explanation:

we know that

The circumcenter is the point where the perpendicular bisectors of a triangle intersect

we have the coordinates

$A(-2,5),B(-2,-1),C(8,-1)$

step 1

Find the midpoint AB

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x1+x2}{2},\frac{y1+y2}{2})$

substitute the values

$M=(\frac{-2-2}{2},\frac{5-1}{2})$

$M_A_B=(-2,2)$

step 2

Find the equation of the line perpendicular to the segment AB that passes through the point (-2,2)

Is a horizontal line (parallel to the x-axis)

$y=2$ -----> equation A

step 3

Find the midpoint BC

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x1+x2}{2},\frac{y1+y2}{2})$

substitute the values

$M=(\frac{-2+8}{2},\frac{-1-1}{2})$

$M_B_C=(3,-1)$

step 4

Find the equation of the line perpendicular to the segment BC that passes through the point (3,-1)

Is a vertical line (parallel to the y-axis)

$x=3$ -----> equation B

step 5

Find the circumcenter

The circumcenter is the intersection point between the equation A and equation B

$y=2$ -----> equation A

$x=3$ -----> equation B

The intersection point is (3,2)

therefore

The coordinates of the circumcenter of this triangle are (3,2)

3 0

2 years ago

Help help help help help Select the equivalent expression (3^2x5^3

swat32

Answer:

D

Step-by-step explanation:

(3^2x5)^3=91125

3^6x5^3=91125

5 0

2 years ago

Read 2 more answers

2) What is the value of the digit 2 in the number 529?*<br> 12<br> 20<br> 29<br> 200

alex41 [277]

Answer:

20

Step-by-step explanation:

2 in 529 is in the tens place - 10

So if 2 is in the tens place, we have 20 as the value of 2.

4 0

3 years ago

Read 2 more answers

Hallie bikes 1 5/8 km before lunch and 6 1/4 km after lunch. How much farther does Hallie bike after lunch than before lunch? Ex

EleoNora [17]

Answer:

4 $\frac{5}{8}$ km

Step-by-step explanation:

To find how much farther Hallie biked after lunch compared to the amount she biked before lunch, we can subtract the amounts:

6 $\frac{1}{4}-1\frac{5}{8}$

However, we can only subtract fractions that have the same denominator, so we need to convert $\frac{1}{4}$ to a fraction with a denominator of 8:

$\frac{1}{4}=\frac{2}{8}$

Now, we can't subtract 2 from 8, so we need to 'borrow' from the 6 to make the fraction larger:

$6\frac{2}{8}=5\frac{10}{8}$

Now subtract: $5\frac{10}{8}-1\frac{5}{8}=4\frac{5}{8}$

4 0

3 years ago