All categories

4 years ago

Explain how you know without computing whether the quotient of 1/2 divided by 6 is greater than or less than 1

1 answer:

6 0

It is less than 1, because 1/2 is also .5, so that is already less than 1 whole.
Also, any number under 6 divided by 6 (for example: 5 divided by 6, 3 divided by 6) has to be less than one, since 6 can't evenly go into a number lower than it.

You might be interested in

What is the surface area of this pyramid<br>

dimulka [17.4K]

Answer:1,152

you have to multiply each side :)

Step-by-step explanation:

(っ◔◡◔)っ ♥ follow me ♥

˜”*°•.˜”*°• say thank you on profile •°*”˜.•°*”˜

░▒▓█ ℝαte █▓▒░

5 0

3 years ago

Five less than one third of a number is two more than half of the same number. Find the number.

I am Lyosha [343]

5 less (-5) than 1/3 of number (n/3) is (=) 2 more than (2+) half of the number (n/2)

-5+n/3=2+n/2
add 5 to both sides
n/3=n/2+7
times 6 both sides
2n=3n+42
minus 2n both sides
0=n+42
minus 42 boh sides
-42=n

the number is -42

the number is 18

8 0

3 years ago

Read 2 more answers

Question 15 (5 points)<br> Find the angle between u = <7, -2> and v= (-1,2>.

Tema [17]

Answer:

Approximately $2.3127$ radians, which is approximately $132.51^{\circ}$ .

Step-by-step explanation:

Dot product between the two vectors:

$\begin{aligned}& u\cdot v \\ =\; & 7 \times (-1) + (-2) \times 2 \\ =\; & (-11) \end{aligned}$ .

Magnitude of the two vectors:

$\begin{aligned} \| u \| &= \sqrt{{7}^{2} + {(-2)}^{2}} \\ &= \sqrt{53} \end{aligned}$ .

$\begin{aligned} \| v \| &= \sqrt{{(-1)}^{2} + {2}^{2}} \\ &= \sqrt{5} \end{aligned}$ .

Let $\theta$ denote the angle between these two vectors. By the property of dot products:

$\begin{aligned} \cos(\theta) &= \frac{u \cdot v}{\|u\| \, \| v \|} \\ &= \frac{(-11)}{(\sqrt{53})\, (\sqrt{5})} \\ &= \frac{(-11)}{\sqrt{265}}\end{aligned}$ .

Apply the inverse cosine function ${\rm arccos}$ to find the value of this angle:

$\begin{aligned} \theta &= \arccos\left(\frac{u \cdot v}{\| u \| \, \| v \|}\right) \\ &= \arccos\left(\frac{(-11)}{\sqrt{265}}\right) \\ & \approx \text{$2.3127$ radians} \\ &= 2.3127 \times \frac{180^{\circ}}{\pi} \\ &\approx 132.51^{\circ}\end{aligned}$ .

8 0

2 years ago

Which number is between<br> 4 1/5<br> and 4.032

guapka [62]

Answer:

4.115

Step-by-step explanation:

The final answer will be 4.115

5 0

3 years ago

Please help me out with this please

dedylja [7]

Intersecting Chord Theorem:

X = 1/2(78 + 76)

X = 1/2(154)

x = 77

3 0

4 years ago