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3 years ago

What is two thirds of 66 ?

1 answer:

5 0

The word $of$ means $multiply$

$Problem$ becomes $\frac{2}{3} (66)$

Since we don't know what go underneath the $66$ , we will put a $1$

Problem becomes $\frac{2}{3}( \frac{66}{1})$

$\frac{2((66)}{3(1)} \\ \\ 2(66) = 132 \\ \\ \\ 3(1) = 3 
\\ \\ MixedFraction: \frac{132}{3}$

$Divide: \frac{132}{3}$ and that gives you a quotient of: $44$

Therefore your answer would most likely be: $44$

Good luck on your assignment and enjoy your day!

~ $MeIsKaitlyn:)$

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Answer please!! It's due tomorrow

Alex

Answer:

15) The length of the line segment DE is 14.908.

16) The measure of the angle W is approximately 31.792°.

17) The length of the ladder is approximately 23.182 feet.

Step-by-step explanation:

15) We present the procedure to determine the length of segment DE:

(i) Determine the length of the line segment DF by trigonometric relations:

$\tan C = \frac{DF}{CF}$ (1)

( $C = 61^{\circ}$ , $CF = 24$ )

$DF = CF\cdot \tan C$

$DF = 24\cdot \tan 61^{\circ}$

$DF \approx 43.297$

(ii) Determine the length of the line segment DE by trigonometric relations:

$\tan F = \frac{DE}{DF}$ (2)

( $DF \approx 43.297$ , $F = 19^{\circ}$ )

$DE = DF\cdot \tan F$

$DE = 43.297\cdot \tan 19^{\circ}$

$DE \approx 14.908$

The length of the line segment DE is 14.908.

16) We present the procedure to determine the measure of the angle W:

(i) Determine the length of the line segment XZ by trigonometric relations:

$\sin Z = \frac{XY}{XZ}$ (3)

( $XY = 15$ , $Z = 25^{\circ}$ )

$XZ = \frac{XY}{\sin Z}$

$XZ = \frac{15}{\sin 25^{\circ}}$

$XZ \approx 35.493$

(ii) Calculate the measure of the angle W by trigonometric relations:

$\tan W = \frac{XZ}{WZ}$ (4)

( $XZ \approx 35.493$ , $WZ = 22$ )

$W \approx \tan^{-1} \left(\frac{22}{35.493}\right)$

$W \approx 31.792^{\circ}$

The measure of the angle W is approximately 31.792°.

17) The system form by the ladder, the ground and the wall represents a right triangle, whose hypotenuse is the ladder, which is now found by the following trigonometric relation:

$\cos \theta = \frac{x}{l}$ (5)

Where:

$\theta$ - Angle of the ladder above ground, in sexagesimal degrees.

$x$ - Distance between the foot of the ladder and the base of the wall, in feet.

$l$ - Length of the ladder, in feet.

If we know that $x = 6\,ft$ and $\theta = 75^{\circ}$ , then the length of the ladder is:

$l = \frac{x}{\cos \theta}$

$l = \frac{6\,ft}{\cos 75^{\circ}}$

$l \approx 23.182\,ft$

The length of the ladder is approximately 23.182 feet.

8 0

3 years ago

20 is decreased to 11

aleksandrvk [35]

20 minus 9 is decreased to 11

I hope this helps

3 0

3 years ago

2. Quincy’s password to his online account is allowed to contain letters or digits. Quincy uses his dog’s name, Buddy, as his pa

Allisa [31]

Answer:

Quincy’s friend has a program that can test 100,000 passwords per second. Given what Quincy’s friend knows about Quincy’s password, how long would it take him to test all the possibilities? How much longer would it take Quincy’s friend to test all the possible passwords if he knew that Quincy’s password was 5 characters long, but did not know whether those characters were letters or digits? Show your work.

5 0

3 years ago

Solve the equation.<br> 3|10x - 4| = 78

Rom4ik [11]

Answer:

x(down 1)=-11/5, x(down 2) =3

Step-by-step explanation:

7 0

1 year ago

We ate 31/6 pizzas. Write this amount as a decimal

Aleksandr [31]

5.16 is the answer. Hope I help. :)

6 0

4 years ago