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Tcecarenko [31]
3 years ago
6

AC is diagonal of square ABCD, and the length of AC is 4. What is the area of the square?

Mathematics
1 answer:
dybincka [34]3 years ago
8 0
Option d.
as we know the corner of a square is always 90°. So we can apply that (side of the square)^2+(side of the square)^2 = (diagonal of the side)^2

(side of the square)^2+(side of the square)^2 = 16
16/2=8
8=(side of the square)^2
side of square= squareroot of 8
area of square= squareroot of 8^2=8
hence answer is 8

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A three inch diameter pulley on an electric motor that runs at 1800
Bezzdna [24]

Answer:

a) 3 inch pulley: 11,309.7 radians/min

6) 6 inch pulley: 5654.7 radians/min

b) 900 RPM (revolutions per minute)

Step-by-step explanation:

Hi!

When a pulley wirh radius R rotantes an angle θ, the arc length travelled by a point on its rim is Rθ.  Then the tangential speed V is related to angular speed  ω as:

V=R\omega

When you connect two pulleys with a belt, if the belt doesn't slip, each point of the belt has the same speed as each point in the rim of both pulleys: Then, both pulleys have the same tangential speed:

\omega_1 R_1 = \omega_2 R_2\\

\omega_2 = \omega_1 \frac{R_1}{R_2} =1800RPM* \frac{3}{6}= 900RPM

We need to convert RPM to radias per minute. One revolution is 2π radians, then:

\omega_1 = 1800*2\pi \frac{radians}{min} = 11,309.7\frac{radians}{min}

\omega_2 = 5654.7 \frac{radians}{min}

The saw rotates with the same angular speed as the 6 inch pulley: 900RPM

3 0
3 years ago
If r=20.5 and s=34.2 find S Round to the nearest tenth
astraxan [27]

Answer: option d

Step-by-step explanation:

Remember the identity:

tan\alpha=\frac{opposite}{adjacent}

The inverse of the tangent function is arctangent. You need to use this to calculate the angle "S":

 \alpha =arctan(\frac{opposite}{adjacent})

Knowing that: you need to find the measure of the angle "S" , r=20.5 (which is the adjacent side) and s=34.2 (which is the opposite side), you can sustitute values into \alpha =arctan(\frac{opposite}{adjacent})

Then, you get that the measure of "S" rounded to the nearest tenth is:

S=arctan(\frac{34.2}{20.5})\\\\S=59.1\°

7 0
4 years ago
Read 2 more answers
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notka56 [123]

Answer:

210=85+125-x+25

x= 235-210

x=25 failled in both

Step-by-step explanation:

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2 years ago
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Yuki888 [10]

Answer:

I believe the answer is x=7

Step-by-step explanation:

<em>3x</em> and<em> 4x-1 </em> are corresponding sides and so are <em>14</em> and <em>18</em>.

You cross multiply with the smaller triangle lengths at the top.

3x/(4x-1)= 14/18

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Subtract 54x on the other side and add 14 to the other (or subtract 56x to the other side)

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