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3 years ago

Vicci designed a square tile in art class. Each corner of the square tile has a measure of 90 degrees.

Mathematics

1 answer:

marishachu [46]3 years ago

4 0

Answer:

360-270=x

x=90 degrees

Step-by-step explanation:

There are two ways i know of how you can do this

The first way:

Ok so lets add up all the angles we know

90+90+90=270

Now we subtract that from 360

360-270=90

And there we have it the measure of angle x is 90 degrees

The second way:

Ok lets name all the angles we know. Hypothetically we only know that one angle is 90.

measure of angle one is 90 degrees

So now we subtract that from 360

360-90=270

Now we divide that by three because there are only 4 angles and we know the measure of one of the angles

270/3=90

And there we have it the measure of angle x is 90 degrees

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ASAP!! PLEASE I NEED HELP!!

sergey [27]

Answer:

If the length is 50 yd, the width is 60 yd.

If the length is 40 yd, the width is 75 yd.

If the length is 48 yd, the width is 62.5 yd.

If the length is 36 yd, the width is 83.33 yd.

The length and the width vary inversely because when the length decreased the width increased

Step-by-step explanation:

The area of any rectangle A = L × W, where

L is its length
W is its width

The relation is direct proportion if the quotient of two quantity equals constant (y/x = k, when y and x increased) and inverse if the product of the two quantity equals constant (yx = k, when x increased y decreased and vice versa)

∵ The area of the rectangular plot of land = 3000 yards²

∴ A = 3000

∵ Its length = 50 yards

∴ L = 50

→ Substitute them in the rule above to find W

∵ 3000 = 50 × W

→ Divide both sides by 50 to find W

∴ 60 = W

∴ The width of the plot is 60 yards

∵ Its length = 40 yards

∴ L = 40

→ Substitute them in the rule above to find W

∵ 3000 = 40 × W

→ Divide both sides by 40 to find W

∴ 75 = W

∴ The width of the plot is 75 yards

∵ Its length = 48 yards

∴ L = 48

→ Substitute them in the rule above to find W

∵ 3000 = 48 × W

→ Divide both sides by 48 to find W

∴ 62.5 = W

∴ The width of the plot is 62.5 yards

∵ Its length = 36 yards

∴ L = 36

→ Substitute them in the rule above to find W

∵ 3000 = 36 × W

→ Divide both sides by 36 to find W

∴ 83. 33 = W

∴ The width of the plot is 83.33 yards

∵ The area is a constant value

∵ A = LW

→ The product of L and W equals the constant value, can you discover

that from the values of L and W

∴ The length and the width of the rectangular plot vary inversely

7 0

3 years ago

Write the 5th term in the expansion of (5x-y/2)^7

Nezavi [6.7K]

Answer:

65625/4(x^5)(y²)

Step-by-step explanation:

Using binomial expansion

Formula: (n k) (a^k)(b ^(n-k))

Where (n k) represents n combination of k (nCk)

From the question k = 5 (i.e. 5th term)

n = 7 (power of expression)

a = 5x

b = -y/2

....................

Solving nCk

n = 7

k = 5

nCk = 7C5

= 7!/(5!2!) ------ Expand Expression

=7 * 6 * 5! /(5! * 2*1)

= 7*6/2

= 21 ------

.........................

Solving (a^k) (b^(n-k))

a = 5x

b = -y/2

k = 5

n = 7

Substituting these values in the expression

(5x)^5 * (-y/2)^(7-5)

= (3125x^5) * (-y/2)²

= 3125x^5 * y²/4

= (3125x^5)(y²)/4

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

Multiplying the two expression above

21 * (3125x^5)(y²)/4

= 65625/4(x^5)(y²)

5 0

3 years ago

Please help me answer this question.

tatuchka [14]

Answer:

12.5 ft

Step-by-step explanation:

30 : x = 24 :10

30*10 = 24x

x= 300/24 =12.5

3 0

3 years ago

Total number of faculty is 136. There are 6 professors to every 11 lecturers. How many professors are there

laila [671]

Answer:

The Total number of Professors = 48

Step-by-step explanation:

Given as,

The total number of Faculty = 136

And the Ratio of Professors to Lecturers = 6 Ratio 11

Now According to question

Professors : Lecturers = 6 : 11

So, Let the Number of Professors = 6x

And The Number of Lecturers = 11x

∴ 6x + 11x = 136

Or, 17x = 136

Or, x = $\frac{136}{17}$ = 8

Hence, the number of Professors = 6 × 8 = 48 Answer

3 0

3 years ago

Please help me to solve this sum please gI've correct answer

disa [49]

This question requires creating a few equations and working through them step-by-step. Now, first let's give each of the shapes a variable: let's say that the blue shape is a, the orange shape is b and the green shape is c.

1. We can technically create six formulas for the magic square, with three for sum of the rows and three for the sum of the columns, however the smartest way to approach this is to observe whether there are any obvious answers that we can get.

We can see in row 2 that there are three of the same shape (a) that add to 57. This makes it very simple to calculate the value of the shape.

Since 3a = 57

a = 57/3 = 19

2. Now we need to find a row or column that includes a and one other shape; we could choose either column 2 or 3, so let's go with column 2. Remembering that the blue shape is a and the orange shape is b:

2a + b = 50

Now, given that a = 19:

2(19) + b = 50

38 + b = 50

b = 12

3. We can now take any of the rows or columns that include the third shape (c) since we already know the values of the other two shapes. Let's take column 1:

a + b + c = 38

19 + 12 + c = 38

31 + c = 38

c = 38 - 31

c = 7

Thus, the value of the blue shape is 19, the value of the orange shape is 12 and the value of the green shape is 7.

3 0

3 years ago