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valentina_108 [34]
3 years ago
5

If the sides of a parallelogram are increased to twice its original lengths, how much will the perimeter of the new parallelogra

m? (a) 1.5 times (b) 2 times (c) 3 times (d) 4 times Cunion has a garden in the shane of a narallelogram. The area of the garden is 738​
Mathematics
1 answer:
inna [77]3 years ago
5 0

Answer:

2 times

Step-by-step explanation:

the length and breadth of the parallelogram will be l and b, respectively.

Then, perimeter = 2(1 + b) [∵ perimeter of parallelogram = 2 x (length + breadth)]

If both sides are increased twice, then new length and breadth will be 21 and 2b, respectively.

Now, new perimeter = 2(21 + 2b) = 2 x 2(l + b) = 2 times of original perimeter.

the perimeter of parallelogram will be increased 2 times.

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Gary wants to buy a video game with a selling price of $48, on sale for 50% off. The sales tax in his state is 4.5%. How much wi
Anna [14]

Answer:

$25.20

Step-by-step explanation:

First, take the 50% off the sales price:

($48)*(-0.50) = -$24.

($48 - $24) = $24 sale price.

Tax on $24 is ($24)*(0.05) = $1.20

Add the price and sales tax:

$24 + $1.20 = $25.20

5 0
3 years ago
Find the value of x<br>the options are:<br>8<br>97<br>107<br>117<br><br>PLEASE HURRYYY<br><br>​
antiseptic1488 [7]

Answer:

107 degrees

Step-by-step explanation:

All polygon degrees add up to 360

we know that this polygon has a angle of 90 and 56

subtract 90 and 56 from 360 to get 214

Then divide by 2 because there are 2 x angles

to get 107 degrees

3 0
3 years ago
It costs $60 per hour to rent a jet ski. The total cost of a jet ski rental
Anastasy [175]

Answer:

y = 60x + 20

Step-by-step explanation:

The number of hours that we ski is a variable cost where each hour costs $60. On top of that, we have a fixed cost of $20 which stays the same no matter how long we ski.

So we can use an equation to find the totla cost C given the number of hours t as follows:

C(t) = 60t + 20

We can use this equation to find the cost of a skiing session by plugging in some value for t. For example, if we ski for 3 hours:

C(3) = 60(3) + 20 = $200

The equation can also be written using x and y and mean the same thing.

7 0
3 years ago
If tan theta =24 over 45 find tan theta minus cos theta. <br> ​
juin [17]

Answer:

24/45 - 45/51

Step-by-step explanation:

Tangent can be expressed as opposite/adjacent. So, create a right triangle with one leg = 24 and the other = 45. The hypotenuse is 51 by the Pythagorean theorem. Cosine is adjacent/hypotenuse, so it would be 45/51.

4 0
4 years ago
The average score of all pro golfers for a particular course has a mean of 70 and a standard deviation of 3.0 (Think of these as
bija089 [108]

Answer:

0.477 is  the probability that the average score of the 36 golfers was between 70 and 71.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 70

Standard Deviation, σ = 3

Sample size, n = 36

Let the average score of all pro golfers follow a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(score of the 36 golfers was between 70 and 71)

\text{Standard error of sampling} = \displaystyle\frac{\sigma}{\sqrt{n}} = \frac{3}{\sqrt{36}} = \frac{1}{2}

P(70 \leq x \leq 71) = P(\displaystyle\frac{70 - 70}{\frac{3}{\sqrt{36}}} \leq z \leq \displaystyle\frac{71-70}{\frac{3}{\sqrt{36}}}) = P(0 \leq z \leq 2)\\\\= P(z \leq 2) - P(z \leq 0)\\= 0.977 - 0.500 = 0.477= 47.7\%

P(70 \leq x \leq 71) = 47.7\%

0.477 is  the probability that the average score of the 36 golfers was between 70 and 71.

8 0
3 years ago
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