What numbers are 3 units from -2 on a number line?

A number line ranging from negative 10 to positive 10

Select from the drop-down menus to correctly complete the statements.

Answer:

purple.orang.blue.yellow and green

purple.orang.blue.yellow and green

Answer:

x = 6.5

Step-by-step explanation:

In order to solve this problem, you need to use trigonometry (sin, cosine, tangent).  

Sin = opposite/hypotenuse

Cosine = adjacent/hypotenuse

Tangent = opposite/adjacent

We need to use tangent in this case because 10 is the opposite side from the 57° angle, and x is right next to it, making it adjacent.  So, our equation would look like this:

tan (57)° = 10/x

Multiply both sides by x

x (tan (57)°) = 10

Divide both sides by tan (57)°

10 / tan (57)° = 6.49408 = 6.5

Step-by-step explanation:

We are given two angles measures and one side. Notice the given angle and the side that is opposite to that given angle is given. We need to find side x. But can we also find the angle opposite of the side we are trying to find. Yes we can

Remeber that triangles interior angles add up to 180.

Remeber that triangles interior angles add up to 180.One angle measure 90 and the other measure is 57 so

[tex]90 + 57 + x = 180[/tex]

[tex]x = 33[/tex]

So the angle opposite of the side we are trying to find is 33.

Since we know two angles and two sides that are opposite of those two angles respectively, we can use what is called Law of Sines

[tex] \frac{b}{ \sin(b) } = \frac{c}{ \sin(c) } [/tex]

where the numerator are the side measures, and the denominator are the angle measures.

Plug in the respectively values. Angle 57 is opposite of 10 and Angle 33 is opposite of x.

[tex] \frac{10}{ \sin(57) } = \frac{x}{ \sin(33) } [/tex]

Multiply both sides by sin 33 to isolate x.

We get

[tex]x = 6.494[/tex]

Round if needed

In other words, apply law of sines when you have two angles and two sides that are opposite of those angles respectively.

Answer:

x=-2 y=3

Step-by-step explanation:

you should multiple second equation by -5 and collect all terms then put -2 from x

Answer: It is a rational number.

Step-by-step explanation: Because rational numbers can also be terminating decimals.

Answer:

1 1/4 =c

Step-by-step explanation:

4 1/6 = 3 1/3c

Change the mixed numbers to improper numbers

4 1/6 = ( 6*4+1)/6 =25/6

3 1/3 = ( 3*3+1)/3 = 10/3

25/6 = 10/3c

Multiply each side by 3/10

25/6 * 3/10 = 10/3c * 3/10

3/6 * 25/10 = c

1/2 * 5/2 =c

5/4 =c

Change back to a mixed number

1 1/4 =c

Dimensions of a rectangular deck = [tex]40[/tex] feet by [tex]3[/tex] yards

Width of the deck is in yards, so convert it into feet.

Since, [tex]\frac{1}{3}[/tex] yards = 1 foot

Therefore, 1 yard = [tex]3[/tex] feet

And [tex]3[/tex] yards = [tex]3\times 3[/tex] feet

                    = [tex]9[/tex] feet

Therefore, dimensions of the rectangular deck = [tex]40[/tex] feet by [tex]9[/tex] feet

Area of the deck = Length × Width

                            = [tex]40\times 9[/tex]

                            = [tex]360[/tex] square feet

∵ [tex]50[/tex] square feet of deck is stained by number of cans = 1

∴ 1 square feet will be stained by number of cans = [tex]\frac{1}{50}[/tex]

∴ [tex]360[/tex] square feet will be stained by cans = [tex]\frac{360}{50}[/tex] = [tex]7.2[/tex]

We can not purchase can in fractions or parts.

Therefore, number of cans to be purchased = [tex]8[/tex]

Cost of waterproof stain per can = $[tex]19.99[/tex] plus [tex]8[/tex]% sales tax

Therefore, actual cost of 1 can to be paid for the waterproof stain

= [tex](19.99 + 19.99\times \frac{8}{100})[/tex]

= [tex]19.99+1.5992[/tex]

= $[tex]21.5892[/tex]

Cost of [tex]8[/tex] cans = [tex]21.5892\times 8[/tex]

                         = $[tex]172.71[/tex]

I have paid $[tex]150[/tex] to the cashier.

Therefore, additional money to be paid = [tex]172.71-150[/tex]

                                                                  = $[tex]22.71[/tex]

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Answer:

2550-2500 = 50

25% percent increase.

Answer:

Money saved by Jade = € 25

Money saved by  May =   € 30

Money saved by Nel  = € 60

Step-by-step explanation:

Money saved by Jade = € x

Money saved by  May = x + 5

Money saved by Nel = 2* (x + 5) = 2*x + 2*5 = 2x + 10

Total = € 115

x + x + 5 + 2x + 10 = 115

x  + x + 2x + 5 + 10 = 115

Combine like terms

4x + 15 = 115

Subtract 15 from both sides

4x = 115 - 15

4x = 100

Divide both sides by 4

x = 100/4

x = € 25

Money saved by Jade = € 25

Money saved by  May = 25+ 5 = € 30

Money saved by Nel = 2*25 + 10 = 50 + 10 = € 60

Answer:

Jade=€25

May=€30

Nel=€60

Step-by-step explanation:

Since Nel has 2 units, May has one and you do not know Jane but it is only €5 less, you want to plus 5 to make Jane have one unit like May, so:

115+5=120 (4 units）

120 divide 4= 30 (1 unit)

Jade=30-5=€25

May=€30

Nel=30x2=€60

Hope this helps! Thanks.

Answer:

7$

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

21/35

Divide both the top and bottom by 7

21/7 = 3

35/7 = 5

3/5

Answer:

3/5

Step-by-step explanation:

Find gcf for 21 and 35….7

Divide both by 7…. 3 and 5

Arrange 3 as numerator and 5 as denominator….3/5

Formula for simple interest = total = start value x ( 1 + interest rate x time)

Total = 1880.90 x ( 1 + 0.055 x 1)

Total = 1,984.35

Interest = total - starting amount

Interest = 1984.35-1880.90 = 103.45

Interest: £103.45

Answer:

Perimeter = 1880.9

Time = 1 years

Rate = 5 (½) years

Interest

SI = PRT/100

5½ = 11/2 %

» SI = 1880.9 × 11 × 1/2 × 100

» SI = 1880.9 × 11/200

» SI = 103.4

Sure, I will help you.

25. Measure of MP=152 degrees.

26. Measure of QNL=208 degrees.

27. Measure of WT=155 degrees.

28. Measure of WTV=205 degrees.

I believe that these answers are correct, but if not, please let me know. If you have any questions, feel free to ask.

Answer:

cos 0 = 1

.................

Answer:

3x

Step-by-step explanation:

[tex] \sqrt{9 {x}^{2} } [/tex]

[tex] \sqrt{9} \sqrt{ {x}^{2} } [/tex]

[tex] \sqrt{ {3}^{2} } \sqrt{ {x}^{2} } [/tex]

[tex] \sqrt{ {3}^{2} } x[/tex]

[tex] = 3x[/tex]

Answer:

33.75

Step-by-step explanation:

1. figure out equation - 45% of 75.

2. 45% = 45/100 = 45 ÷ 100

3. 45/100 /75

Step-by-step explanation:

steps are in picture above.

Note:if you have any question please let me know.

[tex]\\ \rm\Rrightarrow 11+7x=-17[/tex]

[tex]\\ \rm\Rrightarrow 7x=-7-11[/tex]

[tex]\\ \rm\Rrightarrow 7x=-28[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{-28}{7}[/tex]

[tex]\\ \rm\Rrightarrow x=-4[/tex]

Answer: x = -4

Step-by-step explanation:

Given equation

11 + 7x = -17

Subtract 11 on both sides

11 + 7x - 11 = -17 - 11

7x = -28

Divide 7 on both sides

7x / 7 = -28 / 7

[tex]\boxed{x=-4}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Add those angles together. PQT is the sum of the angles PQS and SQT

3x+13+6x-2

add like terms

9x-11

angle PQT is equal to 9x-11.

Step-by-step explanation:

Answer:

simple answer

Step-by-step explanation:

Answer:

B) [tex]x\geq0[/tex]

Step-by-step explanation:

The domain of the square root function is all real non-negative numbers. In a numerical format that is as follows:

[tex]D(\sqrt{x})={[0,\infty )}[/tex]

This is more commonly denoted as:

[tex]x\geq0[/tex]

In the case of the given function:

[tex]g(x)=\sqrt{8x}[/tex]

The domain is still ([tex]x\geq0[/tex]) as multiplying a value by (8) does not alter this. A negative number times (8) is still negative and thus cannot be a part of the square root domain. Similarly, a positive number times (8) is still positive and remains a part of the square root domain. Moreover, (0) times (8) is still (0).

Answer:

x = 70

Step-by-step explanation:

The sum of the angle measures of a quadrilateral is 360°

76 + 92 + 122 + x = 360

168 + 122  + x = 360

290  + x = 360

x = 360 - 290

x = 70

You can ever CROSS-CHECK

76 + 92 + 122 + 70

290  + 70

= 360

thus cross-checked

Answer:

(100×m) + d

where m is the month number of your birthday

and d is the day number of your birthday

Step-by-step explanation:

[(((m × 4) + 14) × 25) - 230] + d - 120

》[((4m + 14) × 25) - 230] + d - 120

》100m + 350 - 230 -120 + d

》100m + d

Answer:

2003 apples for each boy

Answer:

26o39÷3 =2,003

therefore; each boy gets 2,003 apples

Answer: (60/13, 6/13)

Concept:

There are three general ways to solve systems of equations:

Here, we are going to use elimination since all the variables are in the corresponding position.

Solve:

Given

[tex]\left \{ {{2x+7y=-6} \atop {4x - y=18}} \right.[/tex]

Multiply the first equation in order to eliminate [x]

[tex]\left \{ {{4x + 14y = -12} \atop {4x - y = 18}} \right.[/tex]

Subtract the second equation from the first equation to eliminate [x]

[tex]14y-y=-12+18[/tex]

[tex]13y=6[/tex]

Divide 13 on both sides

[tex]13y/13=6/13[/tex]

[tex]\boxed{y=\frac{6}{13} }[/tex]

Substitute [y] value in order to get [x] value

4x - y = 18

4x - 6/13 = 18

4x = 18 + 6/13

4x = 240/13

[tex]\boxed{x=\frac{60}{13} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

i believe that`s called a linear pair. the opposite sides of the lines create matching angles.

Answer:

2.4 days

Step-by-step explanation:

they could complete the job in :

(6×4)/(6+4) = 24/10 = 2.4 days

[tex]\\ \rm\longmapsto \dfrac{ab}{a+b}[/tex]

[tex]\\ \rm\longmapsto \dfrac{6(4)}{6+4}[/tex]

[tex]\\ \rm\longmapsto \dfrac{24}{10}[/tex]

[tex]\\ \rm\longmapsto 2.4days[/tex]