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andrey2020 [161]
3 years ago
9

Help on this please?

Mathematics
1 answer:
Anna [14]3 years ago
7 0

Answer:

angle 1 should equal to 54.

angle 2 should equal to 126.

Step-by-step explanation:

2x - 8 + 4x + 2 = 180

2x + 4x - 8 + 2 = 180

6x - 6 = 180

6x - 6 + 6 = 180 + 6

6x = 186

6x ÷ 6 = 186 ÷ 6

x = 31

---------------------------------------------

2x - 8 = A1

2(31) - 8 = A1

62 - 8 = A1

54 = A1

-----------------------------------------------

4x + 2 = A2

4(31) + 2 = A2

124 + 2 = A2

126 = A2

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Marcus bought a rug for a hallway. The rug measures 0.5 meter by 2.5 meters. Which is the area of the rug?
lisabon 2012 [21]

Answer:

1.25 meters

HOPE THIS HELPS

-Todo ❤️

Step-by-step explanation:

.5*2.5=1.25

7 0
3 years ago
Find the volume of the solid formed by revolving the region bounded by the graphs of y = x^3, x = 2, and y = 1 about the y-axis.
andrezito [222]

Since the rotation is about the y-axis, I'll integrate by dy.

\displaystyle y=x^3\\x=\sqrt[3]y\\\\V=\pi \int \limits_1^8(2^2-(\sqrt[3]y)^2)\, dy\\V=\pi \Big[4x-\dfrac{3}{5}x^{\tfrac{5}{3}}\Big]_1^8\\V=\pi \left(4\cdot8-\dfrac{3}{5}\cdot8^{\tfrac{5}{3}\right-\left(4\cdot1-\dfrac{3}{5}\cdot1^{\tfrac{5}{3}\right)\right)\\V=\pi \left(32-\dfrac{96}{5}-\left(4-\dfrac{3}{5}\right)\right)\\V=\pi \left(\dfrac{64}{5}-\dfrac{17}{5}\right)\\V=\dfrac{47\pi}{5}

3 0
3 years ago
Solve for x Round to the nearest tenth one place after the decimal !
aniked [119]

Answer:

x = 14.4

Step-by-step explanation:

x is sin(angle 24/30)×24

how do we get the angle at 24/30 ?

by using the extended Pythagoras for baselines opposite other than 90 degrees.

c² = a² + b² - 2ab×cos(angle opposite of c)

in our example the angle 24/30 is opposite of the side 18.

so,

18² = 24² + 30² - 2×24×30×cos(angle 24/30)

324 = 576 + 900 - 1440×cos(angle 24/30)

324 = 1476 - 1440×cos(angle 24/30)

1440×cos(angle 24/30) = 1152

cos(angle 24/30) = 1152/1440 = 576/720 = 288/360 = 144/180 = 72/90 = 36/45 = 12/15 = 4/5

angle 24/30 = 36.9 degrees

x = sin(36.9) × 24 = 14.4

4 0
3 years ago
Need help with another problem
Verdich [7]
Find the midpoint:

m= x1+x2/2; y1+y2/2

m= 9+-1/2; 8+-2/2

m= 8/2; 6/2

m= (4,3)

(4,3) is your answer.

I hope this helps!
~kaikers
4 0
3 years ago
The radius of a cylindrical water tank is 4.5 ft, and its height is 10 ft. What is the volume of the tank?
choli [55]

Answer:

636.3 cubic meters

Step-by-step explanation:

Volume of cylinder= pi × radius² × height

3.142 × 20.25 × 10 = 636.255 rounded to the nearest one decimal place is 636.3

Have a nice day.

5 0
3 years ago
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