All categories

3 years ago

List the next four multiples of the unit fraction 1/2 4th grade

1 answer:

6 0

<h2>The next four multiples of the unit fraction $\dfrac{1}{2}$ are</h2><h2> $\dfrac{2}{2}$ ( 1), $\dfrac{3}{2}$ , $\dfrac{4}{2}$ (2) and $\dfrac{5}{2}$ .</h2>

Step-by-step explanation:

We have:

The unit fraction = $\dfrac{1}{2}$

To find, the next four multiples of the unit fraction $\dfrac{1}{2}$ = ?

∴ The next four multiples of the unit fraction $\dfrac{1}{2}$

The first multiple = $\dfrac{1}{2}\times 2= \dfrac{2}{2} =1$

The second multiple = $\dfrac{1}{2}\times 3= \dfrac{3}{2}$

The third multiple = $\dfrac{1}{2}\times 4= \dfrac{4}{2} =2$

The fourth multiple = $\dfrac{1}{2}\times 5= \dfrac{5}{2}$

∴ The next four multiples of the unit fraction $\dfrac{1}{2}$ are

$\dfrac{2}{2}$ ( 1), $\dfrac{3}{2}$ , $\dfrac{4}{2}$ (2) and $\dfrac{5}{2}$ .

You might be interested in

PLEASE CAN SOMEBODY HELP PLEASE I AM BEGGING YOU PLEASE

rusak2 [61]

(3,-1)? i believe that's what it would be

5 0

4 years ago

Read 2 more answers

What type of number is the square root of 16?

OlgaM077 [116]

The answer is 4. the square root of 16=4. 4*4 =16

3 0

4 years ago

Read 2 more answers

ABC High School is debating whether or not to write a policywhere all students musthave uniforms and wear them during school hou

larisa [96]

If 45% don't want uniforms, it means that 45 out of 100 students don't want them, so the probability is 45/100 = 9/20

And 55% want unifrms, so the probability = 55/100 = 11/20

6 0

1 year ago

Using a stopwatch, Tyrone determines it takes him 58. 2 minutes to travel 30 miles to work. The stopwatch measures to hundredths

nekit [7.7K]

The most accurate determination for the number of 45.36 feet per second Tyrone traveled on his way to work.

Given that,

Using a stopwatch Tyrone determines it takes him 58.2 minutes to travel 30 miles to work the stopwatch measures to hundredths of a minute going by the accuracy of the stopwatch.

We have to determine,

Which is the most accurate determination for the number of feet per second Tyrone traveled on his way to work?

According to the question,

Tyrone determines it takes him 58.2 minutes to travel 30 miles to work,

the stopwatch measures to hundredths of a minute going by the accuracy of the stopwatch are determined by,

$\rm Speed = \dfrac{Distance}{Time}$

Substitute the values in the equation,

$\rm Speed = \dfrac{Distance}{Time}\\\\Speed = \dfrac{30}{58.2}\\\\Speed = \dfrac{50}{97} \ miles \ per \ minute$

If 1 mile = 5,280 feet, then his speed is,

$\rm Speed = \dfrac{50}{97} \ miles \ per \ minute\\\\ Speed = \dfrac{50}{97} \times 5280 \\\\ Speed= \dfrac{26,400}{97}\ feet \ per \ minute\\$

And 1 minute = 60 seconds, then his speed is,

$\rm Speed= \dfrac{26,400}{97}\ feet \ per \ minute\\\\ Speed= \dfrac{26,400}{97} \times \dfrac{1}{60} \\\\ Speed = \dfrac{4400}{97} \ feet \ per \ second \\\\ Speed = 45.36 \ feet \ per \ second$

Hence, The most accurate determination for the number of 45.36 feet per second Tyrone traveled on his way to work.

For more details about Equation refer to the link given below.

brainly.com/question/971941

6 0

3 years ago

Can you help me to solve this

stealth61 [152]

Answer:

$\text{Triangle 1:}\\\\x=30\sqrt{2},\\\\\text{Triangle 2:}\\x\approx 36.18,\\?\approx12.37$

Step-by-step explanation:

*Notes (clarified by the person who asked this question):

-The triangle on the right has a right angle (angle that appears to be a right angle is a right angle)

-The bottom side of the right triangle is marked with a question mark (?)

<u>Triangle 1 (triangle on left):</u>

Special triangles:

In all 45-45-90 triangles, the ratio of the sides is $x:x:x\sqrt{2}$ , where $x\sqrt{2}$ is the hypotenuse of the triangle. Since one of the legs is marked as $30$ , the hypotenuse must be $\boxed{30\sqrt{2}}$

It's also possible to use a variety of trigonometry to solve this problem. Basic trig for right triangles is applicable and may be the simplest:

$\cos 45^{\circ}=\frac{30}{x},\\x=\frac{30}{\cos 45^{\circ}}=\frac{30}{\frac{\sqrt{2}}{2}}=30\cdot \frac{2}{\sqrt{2}}=\frac{60}{\sqrt{2}}=\frac{60\cdot\sqrt{2}}{\sqrt{2}\cdot \sqrt{2}}=\frac{60\sqrt{2}}{2}=\boxed{30\sqrt{2}}\\$

<u>Triangle 2 (triangle on right):</u>

We can use basic trig for right triangles to set up the following equations:

$\cos 20^{\circ}=\frac{34}{x},\\x=\frac{34}{\cos 20^{\circ}}\approx \boxed{36.18}$ ,

$\tan 20^{\circ}=\frac{?}{34},\\?=34\tan 20^{\circ}\approx \boxed{12.37}$

We can verify these answers using the Pythagorean theorem. The Pythagorean theorem states that in all right triangles, the following must be true:

$a^2+b^2=c^2$ , where $c$ is the hypotenuse of the triangle and $a$ and $b$ are two legs of the triangle.

Verify $34^2+(34\tan20^{\circ})^2=\left(\frac{34}{\cos20^{\circ}}\right)^2\:\checkmark$

3 0

3 years ago