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earnstyle [38]
3 years ago
6

Reading list

Mathematics
1 answer:
never [62]3 years ago
8 0

9514 1404 393

Answer:

  7 cm, 4.4 cm

Step-by-step explanation:

The side lengths can be found from the law of cosines. Each triangle has legs 3 cm and 5 cm. The angle between these will be 60° or 120°. Then the two sides of the parallelogram are ...

  s = √(a² +b² -2ab·cos(C))

  s = √(3² +5² -2·3·5·(±1/2)) = √(34 ±15) = {√49, √19}

The two side lengths are 7 cm and about 4.4 cm.

You might be interested in
What is the measure of an exterior angle of a regular polygon with 12 sides?
lubasha [3.4K]

Answer:

30

Step-by-step explanation:

You use the equation 180(n-2) to find the interior angle and 360/n to find the exterior angle

360/12                           divide 360 by the number of sides

30

4 0
3 years ago
Hakim saves money for one year to buy a computer.
elena55 [62]

Answer:

$111

Step-by-step explanation:

First we need to take a look at the bank account of Hakim. Hakim initially invested $700 in the bank with a 5% simple interest annually. Since Hakim waited for an entire year before buying the computer, he will then have the extra 5% interest from the bank.

Let's first compute for how much Hakim will have in total in the bank.

A = P(1 + rt)

P = 700 Initial Investment

r = 5% or 0.05 Interest

t = 1 Year

A = 700(1 + (0.05 x 1))

A = 700(1 + 0.05)

A = 700(1.05)

A = 735

So now we know that Hakim has a total of $735 in his bank account.

Now let's move on to calculating the total cost of the computer. We know that the sales tax is always computed after the discounted price.

So first we find the discounted price.

x = 750

d = 20% or 0.20

Discount = 750 x 0.20

Discount = 150

Now that we have the discount of the computer, we then simply subtract the discount to the initial price.

750 - 150 = 600.

The computer will then cost $600 with the discounted price.

Now we have to find the sales tax.

Sales Tax = 4% or 0.04

Total Discounted Price = 600

600 x 0.04 = $24

Now that we have the sales tax, we simply add the sales tax to the discounted price.

600 + 24 = 624.

Now that we know how much the total cost of the computer is with the discount and sales tax, we simply subtract the total cost of the computer to Hakim's current account balance.

735 - 624 = 111

Hakim will have a total of $111 in his bank account after purchasing the computer.

4 0
3 years ago
Evaluate 3x2 - 2x when x = 5
White raven [17]

Answer:

The answer is 65

7 0
3 years ago
Read 2 more answers
Rewrite the fraction as a decimal -19/50
Mama L [17]
Rewrite the fraction as a decimal
-19/50 = -0.38

8 0
3 years ago
Finish writing the equation of the line y= -3/2x+?, given the points (6, -5) and (-2, 7).
anastassius [24]

Answer:

y=-3/2x+4

Step-by-step explanation:

In order to solve this you need to graph the points and then draw a line threw them. The place where the line crosses through the y-intercept is the value for b in y=mx+b.

6 0
3 years ago
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