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3 years ago

If you bought a tv for $350 and you bought it at a 10% discount off what was the original price

1 answer:

6 0

(not sure if I'm right) Using this Formula Part/Whole = %/100

$350/Original Price = 10%/100
cross multiply
10w = 35,000
divide by 10 on both sides
W = $3,500
(seems real high so I'm not sure)

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this is about similar triangles :)which of the following statements is true about similar triangles?the measurements of correspo

GenaCL600 [577]

Similar triangles:

Similar triangles have two important properties:

1. The corresponding sides of the triangles are proportional.

2. The corresponding angles of the triangles are congruent.

Let us analyze each of the given options.

1. The measurements of corresponding angles differ between the two triangles.

False, since the corresponding angles must be congruent.

2. Two triangles are similar if their corresponding sides are proportional.

True, since the corresponding sides are proportional in similar triangles.

3. If two triangles are similar, both their corresponding sides and angles are always congruent.

False, since only the angles need to be always congruent not the sides.

4. Similar triangles differ in shape but are the same in size.

False, since similar triangles are the same shape, but not necessarily the same size.

6 0

1 year ago

One number is 6 more than another. The difference between their squares is 204. What are the numbers?

Crazy boy [7]

Answer:

14 and 20

Step-by-step explanation:

Let x and y be two numbers where x < y.

We are given :

y - x = 6

y² - x² = 204

Then

y - x = 6

(y - x)(y + x) = 204

Then

y - x = 6

6 × (y + x) = 204

then

y - x = 6 (Equation 1)

y + x = 34 (Equation 2)

Then

(Equation 1) + (Equation 2) ⇒ 2y = 40 ⇒ y = 20

Now ,we substitute y by 20 in equation 1 :

y - x = 6

⇔ 20 - x = 6

⇔ 20 - 6 = x

⇔ x = 14

4 0

1 year ago

Read 2 more answers

Use cavalieri's principle to a circular pillar candle is 2.8 inches wide & 6 inches tall. find the volume of the candle.

wolverine [178]

The candle has the shape of a cylinder with height H=6 in, and radius of the circular base R= (2.8)/2 =1.4 (in).

The volume of the cylinder is Area(base)*height =

$\pi R^{2} *H=3.14* (1.4)^{2}*6= 37$ (in cubed)

According to Cavalieri's principle, the volume of the candle is equal to the volume of the cylinder we described.

Answer: 37 in cubed

5 0

3 years ago

20 points

Bezzdna [24]

Answer:

32%

Step-by-step explanation:

P(G/S) = P(G&S)/P(S)

= (0.32×0.5)/0.5

= 0.32

32%

5 0

3 years ago

From a deck of five cards numbered 2, 4, 6, 8, and 10, respectively, a card is drawn at random and replaced. this is done three

Serga [27]

Since the sum of the numbers on the three draws is 12, if we want the card numbered 2 to be drawn exactly two times, the third card can only be numbered 8. In fact, $2+2+8 = 12$ , and there are no other possibilities, unless you consider the various permutations of the terms.

So, we have three favourable cases: we can draw 2,2,8, or 2,8,2, or 8,2,2. This are the only three cases where the card numbered 2 is drawn exactly two times, and the sum of the number on the three draws is 12.

Now, the question is: we have three favourable cases over how many? Well, we have 5 possible outcomes with each draws, and the three draws are identical, because we replace the card we draw every time.

So, we have 5 possible outcomes for the first draw, 5 for the second and 5 for the third. This leads to a total of $5 \times 5 \times 5 = 5^3 = 125$ possible triplets.

Once we know the "good" cases and the total number of possible cases, the probability is simply computed as

$P = \cfrac{\text{number of favourable cases}}{\text{number of all possible cases}} = \cfrac{3}{125}$

3 0

4 years ago