Find the simplified product:[tex]\sqrt{2x^{3} }-\sqrt{18x^{5} }[/tex]

Since both angles are complementary, then Angle 1 + Angle 2 = 90°

Using algebra,

let Angle 2 be X and Angle 1 be (2X + 21°)

Now we have an equation of,

( 2X + 21 ) + X = 90°

step 1 : open up the brackets first.

step 2 : bring 21° to the other side (rmb to flip the sign)

step 3 : bring the 3 over n it becomes " ÷3 "

( 2X + 21° ) + X = 90°

2X + 21° + X = 90°

3X = 90° - 21°

X = ( 90° - 21° ) ÷ 3

= 23°

Sub X=23° into Angle 1 ( 2X + 21° ),

2(23°) + 21° = 67°

Therefore,

Angle 1 = 67°

i hope my solution helps :))

Answer:

Option (2)

Step-by-step explanation:

We have to arrange the given numbers in the order from least to greatest.

Numbers are [tex]\sqrt{64},8\frac{1}{7},8.1414..., \frac{15}{2}[/tex]

1). [tex]\sqrt{64}=8[/tex]

2). [tex]8\frac{1}{7}=\frac{57}{7}=8.143[/tex]

3). 8.1414....

4). [tex]\frac{15}{2}=7.5[/tex]

Therefore, increasing order of the numbers will be,

[tex]8.143>8.1414>8>7.5[/tex]

[tex]8\frac{1}{7}>8.1414...>8>7.5[/tex]

Option (2) will be the correct option.

Answer:

Black socks 35

White socks 31

Step-by-step explanation:

Answer:

1.67 m/s

Step-by-step explanation:

Jorge walks in total:

I takes him:

His speed is:

Answer:

7/15

Step-by-step explanation:

Answer:

Step-by-step explanation:

So if 16 watches is 16000 rs, then if you want to make 3200 more rs, your total from 16 watches should be 19200 (which is 16000+3200)

so the rate per watch should be 19200/16 = 1200

So it should be 1200rs/watch is the rate

Answer:

So if 16 watches is 16000 rs, then if you want to make 3200 more rs, your total from 16 watches should be 19200 (which is 16000+3200)

so the rate per watch should be 19200/16 = 1200

So it should be 1200rs/watch is the rate

Step-by-step explanation:

Answer:

An angle is defined as two rays with a common endpoint, so CAB (or BAC) is an angle. A line is described as an infinite set of points that extend forever in either direction, which these rays also do.

Step-by-step explanation:

Angles are rays with a shared endpoint.

Lines extend forever in either direction.

Rays AB and AC extend forever in either direction.

A line with points C, A, and B with arrows at the endpoints can satisfy the fact that the two rays AB and AC form both a line and an angle.

A line with points C, A, and B have arrows on both endpoints.

We need to explain how the line containing the points C, A, and B has two rays AB and AC and how it can form both a line and an angle.

A line has no endpoints, it extends infinitely in both directions and both end point is denoted by an arrow.

A ray has a fixed point on one side and an arrow on the other side which extends infinitely.

An angle is formed by two rays from one common fixed point.

Let us draw the line with points C, A, and B that have arrows at the endpoints.

C                A                      B

<----------------.-------------------->

We can say that AB is a ray since at point A we have a fixed point and at point B there is an arrow.

And AC is also a ray since at point A there is a fixed point and at point C there is an arrow.

The two rays AB and AC together form a line because on both ends sides there are arrows.

An angle can also be formed since AB and AC are two rays from one common fixed point.

Thus a line with points C, A, and B with arrows at the endpoints can satisfy the idea that the two rays AB and AC form both a line and an angle.

Learn more about line, rays, and angle here:

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Answer:

26

Step-by-step explanation:

We know that the entire angle measures 66 degrees.

Therefore, angle y plus 40 degrees must equal 66.

In an equation:

[tex]y+40=66[/tex]

To solve for y, subtract 40 from both sides:

[tex]y=26\textdegree[/tex]

So, the measure of angle y is 26 degrees.

And we're done!

Answer:

26°

Step-by-step explanation:

The angle with 66° which is shown with a red line is the sum of y and 40° so to find the value of y

we subtract 40 from 66 which gives us result as 26°.

Step-by-step explanation:

x + x + y + y + 3(2 + 4)

= 2x + 2y + 3(6)

= 2x + 2y + 18

Work Shown:

8 lawns = 2 hours

4 lawns = 1 hour (divide both sides by 2)

20 lawns = 5 hours (multiply both sides by 5)

Answer: 20 Lawns

If he mows 8 lawns in a span of 2 hours that means he mows 4 lawns in 1 hour. 4 * 5 is 20

Answer:

30 snow cones.

Step-by-step explanation:

3 snow cones per 0.5 pounds of ice

0.5 pounds of ice x 10 = 5 pounds of ice

3 snow cones X 10 = 30 snow cones.

Answer:

30

Step-by-step explanation:

0.5 pounds of ice = 3 cones.

1 pound = 6 cones.

but we need to find how much 5 pounds will make.

1 pound = 6 cones.

times both sides by 5=

5 pound= 30 cones.

Answer:

x = 122

Step-by-step explanation:

[tex] \because \: QS + QR = RS \\ \therefore \: 87 + 27 = x - 8 \\ 114 = x - 8 \\ 114 + 8 = x \\ 122 = x[/tex]

Answer:

answer is 5.625

hope it helps

5.625

40/5=5

5/8=0.625

Answer:

it is  odd

Step-by-step explanation:

Answer:

Neither  I d k  just  t b h  I kinda forgot lol

Step-by-step explanation:

Answer:

Below

I hope its not too complicated

[tex]x=\frac{\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right)}{\ln \left(5\right)}+\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]5^{\left(-x\right)}+7=2x+4\\\\\mathrm{Prepare}\:5^{\left(-x\right)}+7=2x+4\:\mathrm{for\:Lambert\:form}:\quad 1=\left(2x-3\right)e^{\ln \left(5\right)x}\\\\\mathrm{Rewrite\:the\:equation\:with\:}\\\left(x-\frac{3}{2}\right)\ln \left(5\right)=u\mathrm{\:and\:}x=\frac{u}{\ln \left(5\right)}+\frac{3}{2}\\\\1=\left(2\left(\frac{u}{\ln \left(5\right)}+\frac{3}{2}\right)-3\right)e^{\ln \left(5\right)\left(\frac{u}{\ln \left(5\right)}+\frac{3}{2}\right)}[/tex]

[tex]Simplify\\\\\mathrm{Rewrite}\:1=\frac{2e^{u+\frac{3}{2}\ln \left(5\right)}u}{\ln \left(5\right)}\:\\\\\mathrm{in\:Lambert\:form}:\quad \frac{e^{\frac{2u+3\ln \left(5\right)}{2}}u}{e^{\frac{3\ln \left(5\right)}{2}}}=\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}[/tex]

[tex]\mathrm{Solve\:}\:\frac{e^{\frac{2u+3\ln \left(5\right)}{2}}u}{e^{\frac{3\ln \left(5\right)}{2}}}=\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}:\quad u=\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right)\\\\\mathrm{Substitute\:back}\:u=\left(x-\frac{3}{2}\right)\ln \left(5\right),\:\mathrm{solve\:for}\:x[/tex]

[tex]\mathrm{Solve\:}\:\left(x-\frac{3}{2}\right)\ln \left(5\right)=\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right):\\\quad x=\frac{\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right)}{\ln \left(5\right)}+\frac{3}{2}[/tex]

Answer:

Step-by-step explanation:

Given data

mass of rock, m= 200 kg

height/distance = 3 m

Now we know that the expression for work done is

w= force* distance

and also we need to find the force exerted by mass of rock

F= mg

Substituting our data and solving for force we have (assuming g= 9.81 m/s^2)

Force= 200*9.81

Force= 1962 N

Now we can find the work done

work done= 1962*3

work done= 5880 joules

The work done should be 5880 joules

Since there is the mass of the rock is 200 kg

And, the height is 3 m

Now we know that

work done = force (distance)

Also,

F= mg

= 200(9.81)

=  1962 N

Now the work done is

= 1962(3)

= 5880 joules

Hence, The work done should be 5880 joules

Learn more about work here: https://brainly.com/question/24610764

Answer:

It goes in one direction and indefinitely.

It consist one endpoint.

Step-by-step explanation:

A ray is a straight line that emerges out of a start point and moves in a direction. The line begins with the start point and moves in one direction. The start point and the other side are named with capital letters. It is denoted by writing the two letters and placing an arrow above the letters. There is no endpoint in a ray.

Hey there! I'm happy to help!

The sum of -4n and 5n.

-4n+5n

is

=

-82

-4n+5n=-82

This simplifies to n=-82.

Have a wonderful day! :D

Answer: 68,719,476,736 different ways to answer the quiz.

Step-by-step explanation:

We have 20 questions.

4 of them, have two options (true and false)

and 16 of them have 4 options (a, b, c and d.)

The total number of different ways of answering this quiz is equal to the product of the number of options for each case, then we have:

Combinations = (2^4)*(4^16) = 68,719,476,736 different ways to answer the quiz.

Answer:

qualitative oberservations

Step-by-step explanation:

Answer:

3/5 * 4/7 = 12/35

you can find the answer by multiplying the numerator by the other numerator and the denominator by the other denominator

[tex]\frac{3}{5} \times \frac{4}{7}[/tex] in its simplest form is [tex]\frac{12}{35}[/tex]

To evaluate the given multiplication in its simplest form, we will find the product of the given two fractions.

First, let us write the given fractions properly

That is,

[tex]\frac{3}{5} \times \frac{4}{7}[/tex]

Now, we will carry out the multiplication operation

[tex]\frac{3}{5} \times \frac{4}{7} = \frac{3 \times 4}{5 \times 7}[/tex]

Then, we get

[tex]\frac{3}{5} \times \frac{4}{7} = \frac{12}{35}[/tex]

(NOTE: This is the simplest form as both the numerator and the denominator do not have a common factor)

Hence, [tex]\frac{3}{5} \times \frac{4}{7}[/tex] in its simplest form is [tex]\frac{12}{35}[/tex]

Learn more here: https://brainly.com/question/13124034

Answer:

70

Step-by-step explanation: To get the answer to these types of questions, you multiply all three numbers together.

Answer:

C. the lines are perpendicular

Answer:

A

Step-by-step explanation:

X2 + 5 = 14 - 3 = 11

Answer:

20 square inches