Triangle CAT is equilateral and centered at the origin.
How many degrees will it need to be rotated
counterclockwise about the origin to take point C to
the initial location of point A?
60°
O 120°
240°
180°

Answer:

90 [tex]cm^{2}[/tex] of blue paint

Step-by-step explanation:

From the given diagram, the sides have the same dimensions and the shape of a triangle.

Area of a triangle = [tex]\frac{1}{2}[/tex] x base x height

Given that, the base of each side = 6 cm, and the height = 10 cm.

Then,

Area of each side of the shape = [tex]\frac{1}{2}[/tex] x 6 x 10

                                              = 30 [tex]cm^{2}[/tex]

Since Leonard wish to paint only the 3 sides and not the bottom part of the shape, the amount of paint required can be determined as;

3 x area of each side = 3 x 30

                                   = 90 [tex]cm^{2}[/tex]

Leonard would need 90 [tex]cm^{2}[/tex] of paint to paint the sides of the shape.

Answer:

1/6

Step-by-step explanation:

Answer:

8 blocks

Step-by-step explanation:

As the north direction is upwards and the south direction is downwards the total distance between the two people 's (Megan and Jake)  houses will be obtained by adding their distances from the library which is in the middle as shown in the diagram.

Hence total distance between the two houses= 3.5 + 4.5= 8 blocks

Jake and Meagan live 8 blocks apart.

Answer:

yea

Step-by-step explanation:

Answer: “Do you remember”, he said, the day in the winter of 1898, the day that petroleum ship exploded?

“I pictured that awful canopy of sooty, fatty matter suddenly shut down over a great city by a fog….”

Answer:

45°

Step-by-step explanation:

three angles in a triangle sum up to 180

90° + a + a = 180°

90° + 2a = 180°

2a = 180°-90°

2a = 90°

a = 45°

Answer:

56.54 will be the circumference if 9 is the radius......

Hope it helps!!!

Answer:

0.45/1 = (0.45 × 100)/(1 × 100) = 45/100.

Step-by-step explanation:

Answer:

x = -70

Step-by-step explanation:

-x/10 = 7

=> -x = 7 x 10

=> -x = 70

=> x = -70

Answer:

54 cm

Step-by-step explanation:

Using the formula for the area of a trapezoid (area is the sum of the two bases times the height and then halved):

A = 1/2 (h) (b1 + b2)

5350 = 1/2 (h) (135 + 65)

5350 = 1/2 (h) (200)

5350 = h (100)

5350/100 = h

h = 53.5

h ≈ 54 cm

Answer:

8km

Step-by-step explanation:

The three points form a right-angled triangle with 15km as the height and 17km as the hypotenuse.

To find the distance between Lowell and the port which is the base use the pythagorean theorem.

=√17² - 15²

=8km

Answer:

I think we need a graph to figure out this problem; the points need to be graphed. Otherwise, I do understand!

Answer:

6.2 feet

Step-by-step explanation:

we can determine the radius from the volume of the hot tub

volume of a sphere = (4/3) x (n) x (r^3)

n = 22/7

r = radius

1000 = (4/3) x (22/7) x r^3

divide both sides of the equation by  (4/3) x (22/7)

238.636 = r^3

find the cube root of both sides

r = 6.20 feet

Answer:

a) 20[tex]\sqrt{35}[/tex]

b) 7[tex]\sqrt{5}[/tex]

c) 18[tex]\sqrt{2}[/tex]

d) 5[tex]\sqrt{2}[/tex]

e) 36[tex]\sqrt{3}[/tex]

f) 72

g) 10[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Answer:

( − 1 , − 16 )

Step-by-step explanation:

Answer:

G(-4,6)

Step-by-step explanation:

Here, we want to write a translation

moving left means we are to subtract the number of units from the original

So we have this as -4

Moving up means we are to add the number of units to the original

So we have this as +6 = + 6 units

So the answer here will be;

(-4,6)

G.  (-4, 6).

Given translation is 4 units left and 6 units up.

For left we use negative sign. And for up was use plus sign.

So the translation vector is (-4, 6).

Find out more information about the translation here: https://brainly.com/question/12861087

Answer:

13√2 or 18.38478

Step-by-step explanation:

i hope this helps :)

Let us first resolve the given numbers into prime factors.

By prime factorization,

[tex] \longmapsto [/tex] √8 = √( 2 × 2 × 2)

[tex] \longmapsto [/tex] √8 = 2√2

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex] \longmapsto [/tex] √98 = √( 2 × 7 × 7)

[tex] \longmapsto [/tex] √98 = 7√2

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex] \longmapsto [/tex] √32 = √( 2 × 2 × 2 × 2 × 2)

[tex] \longmapsto [/tex] √32 = 2 × 2√2

[tex] \longmapsto [/tex] √32 = 4√2

According to the question,

[tex] \longmapsto [/tex] √8+√98+√32

[tex] \longmapsto [/tex] 2√2 + 7√2 + 4√2

[tex] \longmapsto [/tex] √2(2 + 7 + 4)

[tex] \longmapsto [/tex] √2(13)

[tex] \longmapsto [/tex] 13√2

So, we get that :

Answer:

x= 45

I hope it's helps you

Answer:I would say 12 I think

Step-by-step explanation:

Answer: 21.5 inches is the correct answer.

Answer:

Step-by-step explanation:

1) 3(x + 2 ) +4  = 31

3*x + 2*3 + 4 = 31

3x + 6 + 4 = 31

  3x + 10   = 31           {Subtract 10 from both sides}

          3x = 31 - 10

         3x = 21        {divide both sides by 3}

          x = 21/3

x = 7

This equation has one solution

2) 3x + 1 = 3x + 9

Subtract 3x form both sides

3x + 1 -3x = 3x + 9 - 3x

1 ≠ 9

There is no solution for this equation.

3) 2x - 4 = 2x -4

This equation has many solution

Answer:

I atttached some screenshots of something that explinaed better than I can. Another way to do it is rations. If you cna determine each of the angles, then you can set the sides equal to each other and find the missing sides otherwose this is proballu the best way to do it.

Step-by-step explanation:

He has the answer so just copy what he said

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The product of 6 and 2 is twelve and if you divide 24 by 12 the answer is 2

or

6 x 2 = 12  

24 ÷ 12 = 2

answer: 2

3 feet 6 inches is equal to 3.5 feet

3.5*5=17.5 feet

or 17 feet and 6 inches

Answer:

(0,-7)

Step-by-step explanation:

4x - y = 7

-y = -4x + 7

y = 4x - 7

-4x + (4x - 7) = -7

-4x + 4x - 7 = -7

x = 0

4(0) - y = 7

-y = 7

y = -7

Answer:

arc EI = 103°

arc EGI = 257°

Step-by-step explanation:

arc HI = 77° because they are alternate angles

arc EI = (360° - 77° - 77°)/2 = 103°

arc EGI = 360° - 103° = 257°