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3 years ago

3/8 divided by 1/2 =

Mathematics

2 answers:

Olin [163]3 years ago

6 0

3/4
Find CD of both which is 8 and then cross mulitiply and divide and you get 24/32 reduces to 3/4

Crazy boy [7]3 years ago

4 0

$\frac{\frac{3}{8}}{\frac{1}{2}}=\ \ \ \ | multiply\ first\ fraction\ by\ inverse\ of\ the\ second\\\\
\frac{3}{8}*\frac{2}{1}=\frac{6}{8}=\frac{3}{4}\\\\
Solution \ is\ \frac{3}{4}.$

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Hector earned $60 this week, which is 5 times the amount he earned last week. The model shows how much money he earned this week

Ede4ka [16]

It would be 5x?=60 because to find "?" you would need to divide 60 and 5. Since Hector earned 5 times what he did last week it would be modeled by 5 times "?"

6 0

3 years ago

What is |3.5| simplified?

erastovalidia [21]

|3.5| = 3.5

Any negative or positive number will always have an absolute value that is positive.

For example, | -3.5| = 3.5

3.5 can also be expressed a fraction.

3.5 * 2/2 = 7/2

8 0

3 years ago

Please answer these questions

puteri [66]

Answer:

Step-by-step explanation:

(1)The units for measuring angles are degrees and radians

A circle is 360° which is equal to 2π radians

1°=π/180

To convert angle measurement from degrees to radians multiply the value of degrees by π/180

(11)

To convert angle measurement from radians to degree multiply the value of radian by 180/π

(111)Yes it matters because you will use different formulas to calculate the length of the arc

For example , when the central angle is in radians, the formula to apply is;

⇒ S=rФ -------------where r is the radius of circle and Ф is angle in radians and S is the arc length.

⇒ When the central angle value is in degrees , the formula to apply is

Arc length =2πr×(Ф/360) where Ф is in degrees , r is radius of circle

2. $sin\frac{17\pi }{6} \\$

we know π=180°

hence 17/6 π=?---------------cross multiply

$\frac{17\pi }{6} *180\\\\\\=17\pi *30\\\\\\=510\pi$

Apply trigonometry

Find sine 510°

Sine (510°-360°)= sine 150°

Sine 150° = sine 30° = 1/2-----------------2nd quadrant

This means sine 510° = 1/2

6 0

3 years ago

How do you find the area of the shaded sector of the circle? The radius is 10in and the sector is 45 degrees

Step2247 [10]

Given:

Radius of the circle = 10 in

Central angle of the sector = 45 degrees

To find:

The area of the sector.

Solution:

Area of a sector is

$A=\dfrac{\theta}{360^\circ}\pi r^2$

Where, $\theta$ is the central angle in degrees.

Putting r=10 and $\theta=45^\circ$ , we get

$A=\dfrac{45^\circ}{360^\circ}\pi (10)^2$

$A=\dfrac{1}{8}\pi (100)$

$A=12.5\pi$

Therefore, the area of the sector is 12.5π sq. inches.

7 0

3 years ago

50 points! Tell whether the orthocenter is inside, on, or outside the triangle. Then find the coordinates of the orthocenter.

Nady [450]

Answer:

(1,3) is inside the triangle

Step-by-step explanation:

Orthocenter is the intersection of altitudes.

We'll calculate the slopes of the two sides and their altitudes ad find the intersection.

m = (3 - 5)/(4 - (-1)) = -2/5

<u>Perpendicular slope:</u>

-1/m = 5/2

<u>Perpendicular line passes through S(-1, -2):</u>

y - (-2) = 5/2(x - (-1)) ⇒ y = 5/2x + 1/2

m = (-2 - 3)/(-1 -4) = -5/-5 = 1

<u>Perpendicular slope:</u>

-1/m = -1/1 = -1

<u>Perpendicular line passes through Q(-1, 5):</u>

y - 5 = -(x - (-1)) ⇒ y = -x + 4

The intersection of the two lines is the orthocenter.

<u>Solve the system of equations to get the coordinates of the orthocenter:</u>

5/2x + 1/2 = x + 4
5x + 1 = -2x + 8
7x = 7
x = 1

<u>Find y-coordinate:</u>

y = -1 + 4 = 3

The orthocenter is (1, 3)

If we plot the points, we'll see it is inside the triangle

6 0

3 years ago