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2 years ago

Find the Area of a square tablecloth with 42.5-inch sides.

Mathematics

1 answer:

Vlad1618 [11]2 years ago

5 0

Answer: 1806 in^2

Step-by-step explanation:

The tablecloth is square, so it is 42.5 inches wide and 42.5 inches long. Area is width x length. (42.5)*(42.5) = 1806 in^2

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Someone help.me find angle C and D also this is in CIRCLE THEOREM lesson

Artyom0805 [142]

Step-by-step explanation:

Opposite angles in a cyclic quadrilateral are supplementary.

Therefore 3c = 4d = 180°, c = 60° and d = 45°.

8 0

3 years ago

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The line above goes through points (-4,0) and (0,1). what is the equation of the line?

mariarad [96]

Answer:

y = $\frac{1}{4}$ x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, 0) and (x₂, y₂ ) = (0, 1)

m = $\frac{1-0}{0+4}$ = $\frac{1}{4}$

Note the line crosses the y- axis at (0, 1) ⇒ c = 1

y = $\frac{1}{4}$ x + 1 ← equation of line

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=Simplify%3A%20%20%5Cfrac%7B%20%7Bx%7D%5E%7Ba%20%2B%20b%7D%20.%20%7Bx%7D%5E%7Bb%20%2B%20c%7D%20

kozerog [31]

Step-by-step explanation:

$\bf \underline{Solution-} \\$

We have to simplify the given expression.

$\rm = \dfrac{ {x}^{a + b} \cdot {x}^{b + c} \cdot {x}^{c + a} }{ {x}^{a} \cdot {x}^{b} \cdot {x}^{c} }$

We know that:

$\rm \longmapsto {x}^{a} \times {x}^{b} = {x}^{a + b}$

$\rm \longmapsto \dfrac{ {x}^{a} }{ {x}^{b} } = {x}^{a - b}$

Therefore, we get:

$\rm = \dfrac{ {x}^{(a + b) + (b + c) + (c + a)}}{ {x}^{a + b + c} }$

$\rm = \dfrac{ {x}^{2(a + b+ c)}}{ {x}^{a + b + c} }$

$\rm = {x}^{2(a + b+ c) - (a + b + c)}$

$\rm = {x}^{a + b + c}$

7 0

2 years ago

The perimeter of a triangle is 27 feet. One side is 3 feet longer than the shortest side, and the longest side is twice as long

Iteru [2.4K]

Answer:

Long side: 12

Middle side: 9

Shortest side: 6

6 0

3 years ago

Choose Yes or No to tell whether the symbol will be reversed when the variable is isolated in each inequality.

balu736 [363]

Answer:

No, no, yes, yes

Step-by-step explanation:

–10.5 < 3a ⇒ -3.5 < a ⇒ a > -3.5

no as variable has positive coefficient

b/6 ≤ 7 ⇒ b ≤ 42

no as variable has positive coefficient

–4.5c > 9 ⇒ c < - 2

yes as variable has negative coefficient

–21/5 ≤ –5/2d ⇒ (-21/5)*(-2/5) ≥ d ⇒ d ≤ 42/25

yes as variable has negative coefficient

8 0

3 years ago