What is 3- 6/7 as an improper fraction ?? please help

Answers

Answer 1

Answer:

the improper fraction is 27/7

To convert the mixed number 3 6/7 to an improper fraction, we need to combine the whole number part with the fractional part.

First, multiply the whole number (3) by the denominator (7), which gives us 21. Then, add the numerator (6) to get 27.

Next, write the sum (27) as the numerator and keep the denominator (7) the same. The resulting improper fraction is 27/7.

This means that there are 27 parts (numerator) out of 7 equal parts (denominator). The improper fraction emphasizes the total number of parts beyond a whole number.

Converting the mixed number 3 6/7 to the improper fraction 27/7 allows for easier mathematical operations and comparisons with other fractions.

Therefore, the improper fraction is 27/7

Learn more about improper fraction here

brainly.com/question/11553119

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Answer 2

Answer:

Answer:

27/7

you have to times the denominator and the whole number then add the numerator

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A landscaper is creating a rectangular flower bed such that the width is half of the length.The area of the flower that is 34 ft.² Write an equation to determine the width of the flower bed to the nearest tenth of a foot

Answers

The Area is $A=l * w$ and we know that $w=(l)/(2)$

Therefore: $34=l * (l)/(2) = (l^(2))/(2)$
$68=l^(2)$
$√(68)=l=8.246$
and thus:
$w=(8.246)/(2)$
$w=4.123$
round to nearest tenth:
$w=4.1feet$

area=LW
W=L/2
2W=L
A=34
sub 34 for A and 2W for L
34=(2W)W
34=2W^2
divide 2
17=W^2
square root both sides
4.12=W
round tenth
4.1 ft=W

What is the solution of the system of equations?
y = –2x + 8
y = x – 4

Answers

y = –2x + 8
y = x – 4

Set them to equal to each other to solve for x.

x - 4 = -2x + 8

3x = 12

x = 4

Plug 4 for x in either equation.

y = x – 4

y = 4 - 4

y = 0

So (4, 0)

you could treat it as a matrix and solve it that way
graph and find intersection
etc.

You focus your camera on a circular fountain. Your camera is at the vertex of the angel formed by tangents to the fountain. You estimate that the angle is 44°. What is the measure of the arc of the circular basin of the fountain that will be in the photograph?

Answers

The measure of the arc of the circular basin of the fountain that will be in the photograph is; 136°

To answer this question, we need to understand the angle of intersecting secant theorem which state that;

If two lines intersect outside a circle, then the measure of the angle formed by the two lines is half of the positive difference of the measures of the intercepted arcs.

Thus;

θ = ½(x2 - x1)

Where:

x2 is large angle
x1 is small angle
θ is measure of the Angle formed by the two lines

Now, we are given θ = 44°

Now the measure of the arc of the circular basin will be the smaller angle x1.

However, the sum of the large and small angle is 360° and so large angle is 360 - x1.

Thus;

44 = ½(360 - x - x)

2 × 44 = 360 - 2x

88 = 360 - 2x

360 - 88 = 2x

2x = 272

x = 272/2

x = 136°

Read more about angle of intersecting secanttheorem at; brainly.com/question/1626547

Answer:

The measure of the arc of the circular basin = 136°

Step-by-step explanation:

The measure of an angle formed when two line intercepts outside a circle is half the difference of the measure of the intercepted arcs.

Mathematically, the is represented as:

Measure of an angle = 1/2(big angle - Small angle)

This values are given in the question

Measure of an angle = Measure of angle formed by tangents to the fountain = 44°

big angle is represented by = 360°-x

small angle is represented by = x

Therefore, we have

44° = 1/2( 360° - x -x)

44° = 1/2(360° - 2x)

Cross multiply

44° × 2 = 360° - 2x

88° = 360° - 2x

88° - 360° = - 2x

-272° = -2x

x = -272/-2

x = 136°

The measure of the arc of the circular basin = 136°

PROVE: ((1+cosx)/sinx)+(sinx/cosx)=((cosx+1)/(sinx+cosx)). Idk what to do because I'm pretty sure the way I did it was wrong...

Answers

I'll take the picture.
$(1+cos\theta)/(sin\theta)+(sin\theta)/(cos\theta)=\frac{cos\theta+1}{sin\theta{cos\theta}}$
Multiply by $sin\theta{cos\theta}$ to get:
$(1+cos\theta)sin\theta=cos\theta+1$ , which means that $sin\theta=1$ , like wtf?
I guess you got to this result.
Btw, if it's an equation you get that $\theta=k\pi$ , for k integer.

What is the greatest number of acute angles that a triangle can contain?

Answers

Answer:

The greatest number of acute angle a triangle can contain are:

Step-by-step explanation:

We know that a acute angle is a angle whose measure is less than 90°.

Now we know that the sum of all the angles of a triangle is 180°.

Now we have to find such 3 angles which are less than 90° and add up to 180°.

Let we consider a equilateral triangle.

In a equilateral triangle each angle measures 60°<90°.

and also:

60+60+60=180°.

Hence, the greatest number of acute angles a triangle can contain are:

3 because you can have a 60 60 60 triangle

A share of stock in the Lofty Cheese Company is quoted at 251/4. Suppose you hold 30 shares of that stock, which you bought at 201/4. If you sell your stock at 251/4, which one of the following statements would be true? A. You'll suffer a loss of $150. B. You'll make a profit of $15. C. You'll make a profit of $150. D. You'll suffer a loss of $15.

Answers

The true statement regarding selling stock at 25 1/4, which you bought at 20 1/4, is C. You'll make a profit of $150. You bought 30 shares at 20 1/40. 30 * 20 1/4 = 30 * 81/4 = 2430/4. You sold 30 shares at 25 1/4. 30 * 25 1/4 = 30 * 101/4 = 3030/4. So you earned more than you paid for them. The value you earned is 3030/4 - 2430/4 = (3030-2430)/4 = 600/4 = 150. So, you'll make a profit of $150.

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