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Iteru [2.4K]
3 years ago
10

Write 37 and 2/3% as a fraction in simplest form. URGENT

Mathematics
1 answer:
Tems11 [23]3 years ago
8 0

Answer:

101 2/3

Step-by-step explanation:

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Find the value of each variable
aniked [119]

Answer:

Answer d)

a= 10*\sqrt{3} b=5*\sqrt{3}, c=15, and d=5

Step-by-step explanation:

Notice that there are basically two right angle triangles to examine: a smaller one in size on the right and a larger one on the left, and both share side "b".

So we proceed to find the value of "b" by noticing that it the side "opposite side to angle 60 degrees" in the triangle of the right (the one with hypotenuse = 10). So we can use the sine function to find its value:

b=10*sin(60^o)= 10*\frac{\sqrt{3} }{2} = 5*\sqrt{3}

where we use the fact that the sine of 60 degrees can be written as: \frac{\sqrt{3} }{2}

We can also find the value of "d" in that same small triangle, using the cosine function of 60 degrees:

d=10*cos(60^o)=10* \frac{1}{2} = 5

In order to find the value of side "a", we use the right angle triangle on the left, noticing that "a" s the hypotenuse of that triangle, and our (now known) side "b" is the opposite to the 30 degree angle. We use here the definition of sine of an angle as the quotient between the opposite side and the hypotenuse:

sin(30^o)= \frac{b}{a} \\a=\frac{b}{sin(30)} \\a=\frac{5*\sqrt{3} }{\frac{1}{2} } \\a= 10*\sqrt{3}

where we used the value of the sine function of 30 degrees as one half: \frac{1}{2}

Finally, we can find the value of the fourth unknown: "c", by using the cos of 30 degrees and the now known value of the hypotenuse in that left triangle:

c=10*\sqrt{3} * cos(30^o)=10*\sqrt{3} *\frac{\sqrt{3} }{2} \\c= 5*3=15

Therefore, our answer agrees with the values shown in option d)

6 0
3 years ago
If f(x)=3x^2 and g(x)=4x^2+1, what is the degree of (f0g)(x)
Oxana [17]

Answer:

6⃣

Step-by-step explanation:

3 + 24x² + 48x⁶; take the highest degree term possible.

5 0
3 years ago
Read 2 more answers
A coordinate plane with a line passing through points (1, 2) and (4, 4)
Kobotan [32]

A straight line is represented by a linear equation given below.

The points are given as (1, 2) and (4, 4).

Start by calculating the slope (m)

m=\frac{y_2-y_1}{x_2-x_1}

So, we have

m=\frac{4-2}{4-1} \\m=\frac{2}{3}

<h3>What is the slope-intercept form of the line?</h3>

The equation in slope-intercept form is then calculated as:

y=m(x-x_1)+y_1

So, we have:

y=\frac{2}{3}(x-1)+2\\ \\y=\frac{2}{3}(x-4)+4\\

Expand

y=\frac{2}{3}(x-1)+2\\ y=\frac{2}{3} x-\frac{2}{3}+2

Take LCM

y=2/3x+4/3

Multiply through by 3

3y=2x+4

So, the possible equations are:

.3y=2x+4\\y=\frac{2}{3}x+\frac{4}{3} \\y=\frac{2}{3}(x-1)+2\\y=\frac{2}{3}(x-4)+{4}

To learn more about linear equations visit:

brainly.com/question/11897796

#SPJ1

8 0
2 years ago
Read 2 more answers
Factor 10x2+15x-70 , this is the last factoring problem I’ll post relating to the test but I thank you all for your help once ag
zepelin [54]
10x²+15x-70= 5(2x² +3x - 14)= 5(2x+7)(x -2)

(2x+7)(x -2) = 2x²+7x-4x-14 =  2x²+3x-14

correct answer is A


5 0
3 years ago
Which symbol replaces the box to make the statement true?<br> 2 18 – 18 02 - [28 – 3. (2+4)]
zubka84 [21]

Answer:

the correct answer is A<

Step-by-step explanation:

8 0
3 years ago
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