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Ludmilka [50]
3 years ago
7

(Kind of urgent!) Using the figure below, find the value of a. Enter your answer as a simplified radical or improper fraction (i

f necessary)

Mathematics
2 answers:
olchik [2.2K]3 years ago
8 0

Answer:

a = 15/4

Step-by-step explanation:

tan 60 = y/a

√3 = y/a

y = √3a

tan 30 = y/b

1/√3 = y / b

y = b/√3

√3 a = b/√3

3a = b

a+b = 15

a + 3a = 15

4a = 15

a = 15 / 4

Mandarinka [93]3 years ago
7 0

Answer:

15/4

Step-by-step explanation:

sin60 =z/15

z=15sin60 =(15√3)/2

cos30 =b/z

b = zcos30 = (15√3)/2 * √3/2 = 45/4

a = 15-b = 15-45/4 = 15/4

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You were shopping for a Christmas present. You found the item on sale for 20% off. Tax is 8%. If the original price was $450, ho
klio [65]

Answer:

Cost\ of\ gift=\$ 388.8

Step-by-step explanation:

Original Price=\$450

Discount:

Discount=20\%

20\%\ of\ 450=\frac{20}{100}\times 450=90\\\\Discounted\ Price=450-90=\$360

Tax:

Tax=8\%

8\%\ of\ 360=\frac{8}{100}\times 360=28.8\\\\Final\ cost=360+28.8=\$388.8

4 0
3 years ago
Which of the following must be true?
Ilya [14]
The answer is C, when numbers or variables are between "|" (also called bars) it means to remove any negative symbols and think of it as a positive number. If the number is already positive you keep it a positive number.
5 0
3 years ago
What is the perimeter of the figure to the nearest tenth of a millimeter?
Pavlova-9 [17]
We have to calculate the perimeter of the figure to the nearest tenth of a millimeter. This figure is made of a rectangle and a half of a circle. The first figure has the perimeter: 3 + 6 + 3 = 12 mm. The second figure has the perimeter: 2 * Pi * r / 2 = Pi * r ; and the radius : r = 6/2 = 3 mm. So Pi * 3 = 3.14 * 3 = 9.42. Fimally : 12 + 9.42 = 21.42 or 21.4 to the nearest tenth. Answer: C. 21.4 millimeters<span>. </span>
7 0
3 years ago
Which statement is true about the equations -3x + 4y = 12 and 1/4x-1/3y= 1?
Contact [7]

Answer:

the third selection is corret

Step-by-step explanation:

Ax + by + c = 0, k = - a/b.

so The slope of the first line = \frac{4}{3},

the slope of the second line = \frac{4}{3};

So these two lines are parallel and they don't intersect

4 0
2 years ago
What is the decimal expansion of the following fraction?
pickupchik [31]
You haven't shared a fraction.  Please do that next time.

I checked and have found that 0.045 repeating over the 4 and 5 is equivalent to 1/22.  Try dividing 1 by 22 to verify this.

So I infer that the fraction you haven't yet shared is 1/22.
5 0
3 years ago
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