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Fynjy0 [20]
3 years ago
13

Find the values ofx and y for the triange. x 60° 30° у

Mathematics
2 answers:
Scrat [10]3 years ago
8 0

Answer:

X=36.4 or 36.37306696.... and Y=42

Step-by-step explanation:

So you have a 30-60-90 triangle!

Do Not Worry this is a hard subject to understand, but I will try to do my best with helping you. Right now you need to find x and y. All you have is 21.  Under your 60 angle, which is pointing downward, is the 21. And 21 is initially in the spot of x or 1. so 21 is the x(But not the x on the side of 90). I am sorry if this is a bit confusing.

You are then going to take your side which is x, the side that is directly in the path of 90, and it is going to be 21\sqrt{3. Then on the side of your y, which is in the path of your 60, it will be 2 times your x.

The general layout of this is:

x is underneath the side of 90 degrees.

then on the side where 60 degrees and 30 degrees is, is going to be x\sqrt{3.

Then the last side, where 30 degrees and 90 degrees lay, will be 2(x).

So all you have to do is plug everything in.

x=36.4 in decimal

y=42(because all you had to do was plug 21 where the x is, because that is where x is in the general layout.)

egoroff_w [7]3 years ago
6 0

Answer:

x = 42, y = 36.37

Step-by-step explanation:

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What is the value of M ?
Murrr4er [49]

Answer:

m = 124 degrees.

Step-by-step explanation:

The sum of the interior angles of a triangle is 180.

The angle opposite m + 56 + 68 = 180.

The angle opposite m = 56.

The angle opposite m + m = 180, so 56 + m = 180.

Angle m = 124.

6 0
3 years ago
The local supermarket buys lettuce each day to ensure really fresh produce. Each morning any lettuce that is left from the previ
jekas [21]

Given Information:

Cost price = $4

Selling price = $10

Salvage value = $1.50

Average demand = μ = 250 boxes

Standard deviation = σ = 34 boxes

Required Information:

Number of lettuce boxes = ?

Answer:

The supermarket should purchase 268 boxes  of lettuce

Step-by-step explanation:

The required number of lettuce boxes that supermarket should purchase is given by

Number of lettuce boxes = μ + (z*σ)

Where μ is the average demand of lettuce boxes, σ is the standard deviation, and z is the z-score which is given by

p = C_us/(C_us + C_os)

The z-score corresponding to probability p will be obtained.

The cost of under stocking is given by

C_us = Selling price - Cost price

C_us = $10 - $4

C_us = $6

The cost of over stocking is given by

C_os = Cost price - Salvage value

C_os = $4 - $1.50

C_os = $2.50

p = C_us/(C_us + C_os)

p = 6/(6 + 2.50)

p = 0.7058

p  = 70.58%

The z-score corresponding to 70.58% probability is approximately 0.54

Number of lettuce boxes = μ + (z*σ)

Number of lettuce boxes = 250 + (0.54*34)

Number of lettuce boxes = 250 + (18.36)

Number of lettuce boxes = 268.36

Number of lettuce boxes ≈ 268

Therefore, the supermarket should purchase 268 boxes of lettuce.

How to use z-table?

Step 1:

In the z-table, find the probability you are looking for and note down the two-digit number of the given row. (e.g 0.5, 2.2, 0.5 etc.)

Step 2:

Then look up at the top of z-table and note down the value in the column for the remaining decimal point in the range of 0.00 to 0.09.

Step 3:

Finally, add the numbers obtained from step 1 and step 2.

8 0
4 years ago
Help ASAP!!!<br> Please and thank you so much
PilotLPTM [1.2K]
Rectangle on the left = 3 × 4 = 12

Rectangle in the middle = 3 × 2 = 6

Rectangle on the right = 4 × 3 = 12

Add:

12 + 6 + 12 = 30

Answer = 30

Hope this helped☺☺
8 0
3 years ago
Read 2 more answers
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balu736 [363]
The answer to this should be 101!
7 0
3 years ago
Write a quadratic equation with -4 and 3/2 as it’s roots. Write the equation in the form ax^2 + bx + c = 0, where a, b, and c ar
jonny [76]

9514 1404 393

Answer:

  2x² +5x -12 = 0

Step-by-step explanation:

When p and q are roots of a quadratic, its factored form can be written as ...

  (x -p)(x -q) = 0

Here, the roots are given as -4 and 3/2, so the factored form would be ...

  (x -(-4))(x -(3/2) = 0

Multiplying by 2 gives us ...

  (x +4)(2x -3) = 0

Expanding the product, we find the desired quadratic is ...

  2x² +5x -12 = 0

5 0
3 years ago
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