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3 years ago

riel wants to use squares to tile a floor that measures 240 cm by 300 cm what is the length of the largest square he can use

1 answer:

4 0

So, what you want is the biggest square that can evenly tile a space 240*300. The biggest possible number that can divide 240 and 300. Does that ring any bells? Maybe you should divide 240 and 300

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Suppose an experiment has 3 stages: A, B, and C. If stage A has 6 outcomes, stage B has 4 outcomes, and stage C has 3 outcomes.

zimovet [89]

Answer:

Step-by-step explanation:

Stage A has 6 outcomes, then B has 4 and C has 3

Take for example only 1 outcome of A, it will have 4 outcomes of B and each outcome of B will have 3 outcomes.

Then a single outcome of A has a total of 12 outcomes (4*3)

Writing it in a way A, B, C:

1,1,1

1,1,2

1,1,3

1,2,1

1,2,2

1,2,3

1,3,1

1,3,2

1,3,3

1,4,1

1,4,2

1,4,3

This is only taking in consideration 1 outcome of A, A has a total of 6 outcomes.

The total of outcomes in the experiment = 6*12=72

8 0

3 years ago

1. In triangle XYZ, A is the midpoint of XY, B is the midpoint of YZ, and C is the midpoint of XZ. Also, AY = 7, BZ = 8, and XZ

Varvara68 [4.7K]

Answer:

Part 1) The perimeter of triangle ABC is 24 units

Part 2) $y=97\°$

Step-by-step explanation:

Part 1) we know that

The Midpoint Theorem states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side

see the attached figure to better understand the problem

Applying the midpoint theorem

step 1

Find the value of BC

$BC=\frac{1}{2}XY$

$XY=2AY$ ---> because A is the midpoint

substitute the given value of AY

$XY=2(7)=14\ units$

$BC=\frac{1}{2}(14)=7\ units$

step 2

Find the value of AC

$AC=\frac{1}{2}YZ$

$YZ=2BZ$ ---> because B is the midpoint

substitute the given value of BZ

$YZ=2(8)=16\ units$

$AC=\frac{1}{2}(16)=8\ units$

step 3

Find the value of AB

$AB=\frac{1}{2}XZ$

substitute the given value of XZ

$AB=\frac{1}{2}(18)=9\ units$

step 4

Find the perimeter of triangle ABC

$P=AB+BC+AC$

substitute

$P=9+7+8=24\ units$

Part 2) Find the measure of angle y

step 1

Find the measure of angle z

we know that

The sum of the interior angles in a triangle must be equal to 180 degrees

$55\°+42\°+z=180\°$

solve for z

$97\°+z=180\°$

$z=180\°-97\°$

$z=83\°$

step 2

Find the measure of angle y

we know that

$z+y=180\°$ ----> by supplementary angles (form a linear pair)

we have

$z=83\°$

substitute

$83\°+y=180\°$

solve for y

$y=180\°-83\°$

$y=97\°$

6 0

3 years ago

Solve for x. A. 11 B. 17 C. 15 D. 19

mamaluj [8]

The full length of one line times the length of the line outside the circle is equal the the other line.

(7+x)*7 = (13 +8) * 8

Simplify:

7x +49 = 21 * 8

7x +49 = 168

Subtract 49 from each side:

7x = 119

Divide both sides by 7:

x = 17

The answer is B. 17

6 0

3 years ago

Please help!!!!!

Zepler [3.9K]

512 = 16
x = 1

16x = 512
x = 512 ÷ 16
x = 32

Answer: 32 miles per gallon (B)

50 = 117.50
1 = x

50x = 117.50
x = 117.50 ÷ 50
x = 2.35

Answer: $2.35 per pound (C)

7 0

3 years ago

Read 2 more answers

12 5/6 - 7 3/10 = Jan rig cufogy8vohc68

noname [10]

Exact Answer: 83/15

Decimal Answer: 5.53 (bar notation above 3)

Mixed Number Answer: 5 8/15

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

8 0

3 years ago