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11111nata11111 [884]
3 years ago
5

Please help simplify these three math questions!

Mathematics
1 answer:
Fed [463]3 years ago
7 0
32)4x-(3x-2x+x)
4x-3x+2x-x
2x
34)7(2-3x+12+4x-24)
14-21x+84+27x-168
7x-42
36) 8(2x-3/2x-5/4)
16x-12x-10
4x-10
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Solve for the missing sides 30-60-90 triangle show work please and thank you
Alex_Xolod [135]

Answer:

4.

x=8\sqrt{3}

y=16

5.

x=3

y=3\sqrt{3}

Step-by-step explanation:

The sides of a (30 - 60 - 90) triangle follow the following proportion,

a-a\sqrt{3}-2a

Where (a) is the side opposite the (30) degree angle, (a\sqrt{3}) is the side opposite the (60) degree angle, and (2a) is the side opposite the (90) degree angle. Apply this property for the sides to solve the two given problems,

4.

It is given that the side opposite the (30) degree angle has a measure of (8) units. One is asked to find the measure of the other two sides.

The measure of the side opposite the (60) degree side is equal to the measure of the side opposite the (30) degree angle times (\sqrt{3}). Thus the following statement can be made,

x=8\sqrt{3}

The measure of the side opposite the (90) degree angle is equal to twice the measure of the side opposite the (30) degree angle. Therefore, one can say the following,

y=16

5.

In this situation, the side opposite the (90) degree angle has a measure of (6) units. The problem asks one to find the measure of the other two sides,

The measure of the side opposite the (60) degree angle in a (30-60-90) triangle is half the hypotenuse times the square root of (3). Therefore one can state the following,

y=3\sqrt{3}

The measure of the side opposite the (30) degree angle is half the hypotenuse (the side opposite the (90) degree angle). Hence, the following conclusion can be made,

x=3

6 0
3 years ago
Eight less than a number is seventy-five. What is the number? -67 67 83
frozen [14]

8-75 = x

x=8+75

x= 83

 the number is 83

5 0
3 years ago
Read 2 more answers
Braille because of its size and detail, Braille takes longer to read than text. A person reading Braille reads and the rate of 2
larisa [96]

The relationship between the reading rate of text and Braille can be modeled in terms of t as B(t) = 0.25t

Let :

Text reading rate = t

<u>Braille reading rate can be expressed in terms of t thus</u> :

  • B(t) = 0.25t

<u>Therefore, we could make a proportional relationship table thus </u>:

t = 1

B(t) = 0.25(1) = 0.25

t = 2

B(t) = 0.25(2) = 0.5

t = 3

B(t) = 0.25(3) = 0.75

0.75t = 4

B(t) = 0.25(4) = 1

1 t = 5

B(t) = 0.25(5) = 1.25

Text reading rate, t ; 1 ____ 2 ___ 3 ____ 4 ____ 5

Braille reading rate ;0.25_0.50_0.75 __1.00 __1.25

Therefore, the graph of the relationship between text and braille reading rate is attached below.

Learn more :brainly.com/question/18904995

7 0
2 years ago
What is the radius of the cylinder<br><br> please help
Ipatiy [6.2K]

Answer:

5cm

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
-2n divided by 3 + (4n - n), when n = 6
Sveta_85 [38]

Step-by-step explanation:

Divisor = -2n = -2 * 6 = - 12

Dividend = 3 + ( 4 * 6 - 6) = 3 + 18 = 21

Now

21 / -12

dividing numerator and denominator by 3

= - 7 / 4

4 0
3 years ago
Read 2 more answers
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