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timurjin [86]
3 years ago
7

3. Ravi is covering a table top in mosaic tiles that

Mathematics
1 answer:
Zinaida [17]3 years ago
7 0

Answer:

432 tiles

Step-by-step explanation:

First, convert the dimensions of the table to inches.

There are 12 inches in a foot, so multiply 1.5 and 2 by 12.

1.5(12) = 18

2(12) = 24

So, the dimensions of the table in inches are 18 by 24.

Find the area of the table using the formula, A = lw

A = lw

A = (18)(24)

A = 432

So, the area is 432 square inches.

Since each tile is one square inch, the table will fit 432 of these.

So, Ravi will need 432 tiles.

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The diagonal of a square is 8 cm.
VladimirAG [237]

the length of the side of this square is 4\sqrt{2} \:or \:5.65cm

Answer:

Solutions Given:

let diagonal of square be AC: 8 cm

let each side be a.

As diagonal bisect square.

let it forms right angled triangle ABC .

Where diagonal AC is hypotenuse and a is their opposite side and base.

By using Pythagoras law

hypotenuse ²=opposite side²+base side²

8²=a²+a²

64=2a²

a²=\frac{64}{2}

a²=32

doing square root on both side

\sqrt{a²}=\sqrt{32}

a=±\sqrt{2*2*2*2*2}

a=±2*2\sqrt{2}

Since side of square is always positive so

a=4\sqrt{2} or 5.65 cm

6 0
3 years ago
Read 2 more answers
The ratios in an equivalent ratio table are 3:12, 4:16, and 5:20. If the first number in the ratio is 10, what is the second num
nekit [7.7K]

Answer:

I believe the answer would be 10/40. First, I simplified all of the given rations. You do this by finding the two numbers greatest common factor. For example, 3/12, 3 goes into 3 once and 3 goes into 12 four times. So that ratio would be 1/4. If you continue the pattern you would get 1/4 for all of them. Therefore, 10/40 would be correct since it's ratio would also be 1/4.

Step-by-step explanation:

4 0
4 years ago
Simplifyng algebraic expressions<br><br>-2z-3w+7+8 use z=3 and w=9​
Anettt [7]

Answer:

-9

Step-by-step explanation:

Substitute 3 for <em>z</em><em> </em>and 9 for <em>w</em> in the equation.

- 2z - 3w + 7 + 8

- 2(3) - 3(9) + 15

- 6 - 18 + 15

- 24 + 15

- 9

7 0
3 years ago
Determine how many solutions exist for this system of equations:
IrinaK [193]

Answer:

No Solution

Step-by-step explanation:

-3x+6=-3x-5

+5 +5

-3x+11=-3x

+3 +3

11=0

No Solution

4 0
3 years ago
A, B, and C are points of tangency. CQ = 5, PQ = 10, and PR = 14. What is the perimeter
igomit [66]

*see attachment for diagram

Answer:

Perimeter = 38

Step-by-step explanation:

Recall: when two tangents are drawn to meet at a point outside a circle, the segments of the two tangents are congruent.

Given,

CQ = 5

PQ = 10

PR = 14

Perimeter of ∆PQR = RC + CQ + QB + BP + PA + AR

CQ = QB = 5 (tangents drawn from an external point)

BP = PQ - QB

BP = 10 - 5 = 5

BP = PA = 5 (tangents drawn from an external point)

AR = PR - PA

AR = 14 - 5 = 9

AR = RC = 9 (tangents drawn from an external point)

✔️Perimeter of ∆PQR = RC + CQ + QB + BP + PA + AR

= 9 + 5 + 5 + 5 + 5 + 9

Perimeter = 38

7 0
3 years ago
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