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enyata [817]
3 years ago
6

What are the values of m and 0 in the diagram below?

Mathematics
1 answer:
Lelu [443]3 years ago
7 0

Answer:The correct answer is m= and θ = 30º.

Step-by-step explanation:First, we must form a triangle whose hypotenuse is the radius r=1, its adjacent leg is m, its opposite leg is  and the angle is theta.

First, we calculate the angle with theta's breast:

sin (θ) =  

where H is the hypotenuse, in this case, the radio.

θ =  ()

θ = 30º

Now, we calculate the adjacent leg, which is equal to the x-coordinate of the point:

cos (θ) =  

m = cos 30º * H

m =  

m =  

Have a nice day!

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The difference of 9 and the quotient of a number t and 6 is 5
Strike441 [17]
Assuming you are supposed to solve for the variable "t",

9 - (t ÷ 6) = 5

Subtract 9 from both sides.

9 - 9 - (t ÷ 6) = 5 - 9

Simplify.

- (t ÷ 6) = -4

Distribute -1 throughout the parenthesis.

-t ÷ -6 = -4

Multiply both sides by -6.

-t ÷ -6 × -6 = -4 × -6

Simplify.

-t = 24

Divide both sides by -1.

-t ÷ -1 = 24 ÷ -1

Simplify.

t = -24
3 0
4 years ago
Rosita earns money by walking dogs after school and on weekends.She walks Madeline every other day,buddy every fourth day,and er
leonid [27]

On 12th day Rosita will walk all three dogs

<em><u>Solution:</u></em>

Given that Rosita earns money by walking dogs after school and on weekends

She walks Madeline every other day,buddy every fourth day,and ernie every third day

Today she walked all three dogs

<em><u>To find: the day when she walked all three dogs</u></em>

From given question,

Madeline is walked every other day means every two days:  2

Buddy is walked every fourth day:  4

Ernie is walked every third day:  3

To find the day when she walked all three dogs, we have to find the least common multiple (LCM) of 2, 4, 3

<em><u>L.C.M of 2, 4, 3:</u></em>

List all prime factors for each number

Prime Factorization of 2 shows:

2 is prime  => 2^1

Prime Factorization of 3 shows:

3 is prime  => 3^1

Prime Factorization of 4 is:

2 \times 2 = 2^2

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

2, 2, 3

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 3 = 12

Thus on 12th day Rosita will walk all three dogs

4 0
4 years ago
PLEASE HELP ASAP !!!! <br> Samantha says that (6^4)^-3 = 6. is she correct ? why or why not ?
Sphinxa [80]
Hey there! Let’s solve the question first.

(6^4)^-3= 4.593 or 4.6

The reason behind this, 6^4=1296^-3

And 1269^-3= 4.593 or 4.6

Hope this helps!
4 0
3 years ago
Billy has a gallon of paint. He us going to pour it into a paint tray that measures 10 inches wide, 14 inches long and 4cm deep.
erica [24]

Answer:

Tray will overflow with 10.53\ \text{inch}^3 of paint.

Step-by-step explanation:

Dimensions the tray is 10 inch by 14 inch by 4 cm

1\ \text{cm}=\dfrac{1}{2.54}\ \text{inch}

4\ \text{cm}=\dfrac{4}{2.54}\ \text{inch}

Volume the tray can hold is

10\times 14\times \dfrac{4}{2.54}\ \text{in}^3

1\ \text{inch}^3=\dfrac{1}{231}\ \text{gallon}

The volume of paint Billy has is 1\ \text{gallon}

Difference in the volume of paint and volume of tray in cubic inches is

\left(1-\dfrac{10\times14\times\dfrac{4}{2.54}}{231}\right)231=10.53\ \text{inch}^3

The tray will overflow with 10.53\ \text{inch}^3 of paint.

3 0
3 years ago
Math please help tutor :)
Fantom [35]

Answer:

8.5

Step-by-step explanation:

6 0
3 years ago
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