solve for all solutions: sin5x=-1/2

9514 1404 393

Answer:

  18

Step-by-step explanation:

  50% × 36 = 0.50 × 36 = 18

There are 18 bikini styles at David's Swimwear.

Answer:

18 bikini styles.

Step-by-step explanation:

Divide 36 by 2.

D because y (time spent) = 50 × x (distance travelled)

225÷4.5=50

x÷y=50

Answer:

52 students ride a bus to school

Step-by-step explanation:

Step 1: Our output value is 260.

Step 2: We represent the unknown value with x.

Step 3:  From step 1 above $260 = 100%.

Step 4: Similarly, x = 20%.

Step 5: This results in a pair of simple equations:

260 = 100%(1).

x = 20%(2).

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

[tex]\frac{260}{x}[/tex] = [tex]\frac{100}{20}[/tex]%

Step 7: Again, the reciprocal of both sides gives

[tex]\frac{x}{260}[/tex] = [tex]\frac{20}{100}[/tex]

⇒x=52$

Therefore, 20% of 260 is 52.

Hope this helps! :)

BRAINLIEST PLEASEEE

The number of students who ride a bus is 52.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Total number of students = 260

The number of students who ride a bus.

= 20% of 260

= 1/5 x 260

= 52

Thus,

The number of students who ride a bus is 52.

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9514 1404 393

Answer:

  log₁₂(4)

Step-by-step explanation:

The applicable rule of logarithms (to the same base) is ...

  log(a^b) = b·log(a)

__

Then the expression simplifies as follows:

  [tex]3\log_{12}(2)+\dfrac{1}{3}\log_{12}(2^3)-\log_{12}(2^2)\\\\=3\log_{12}(2)+\dfrac{3}{3}\log_{12}(2)-2\log_{12}(2)=(3+1-2)\log_{12}(2)\\\\=2\log_{12}(2)=\log_{12}(2^2)=\boxed{\log_{12}(4)}[/tex]

Answer:

The equation a parallel line will be:

[tex]y=\frac{4}{3}x-9[/tex]

Hence, option B is correct.

Step-by-step explanation:

Given the equation

[tex]8x-6y=7[/tex]

Writing the line into the slope-intercept form

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

so

[tex]8x-6y=7[/tex]

[tex]6y\:=\:8x-7[/tex]

Dividing both sides by 6

[tex]y=\frac{4}{3}x-\frac{7}{6}[/tex]

comparing with the slope-intercept form

Thus, the slope of the line = m = 4/3

We know that the parallel lines have the same slope.

Thus, the slope of the parallel line is also 4/3

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 4/3 and the point (6, -1)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-\left(-1\right)=\frac{4}{3}\left(x-6\right)[/tex]

[tex]y+1=\frac{4}{3}\left(x-6\right)[/tex]

Subtract  1 from both sides

[tex]y+1-1=\frac{4}{3}\left(x-6\right)-1[/tex]

[tex]y=\frac{4}{3}x-9[/tex]

Thus, the equation a parallel line will be:

[tex]y=\frac{4}{3}x-9[/tex]

Hence, option B is correct.

Answer:

[tex] \huge{ \boxed{ \bold{ \sf{ \pink{80°}}}}} [/tex]

Step-by-step explanation:

✰ [tex] \underline{ \sf{First, \: Let's \: learn \: about \: internal \: angles \: of \: a \: triangle}}[/tex]

The angles which are formed inside by the joining of arms of a triangle is called interior angles of a triangle. According to the figure provided , In ∆ ABC , ∠ABC , ∠ ACB , ∠ BAC are interior angles because they lie inside the ∆ ABC and sum of such interior angles is always 180°.

❀ [tex] \sf{Now, \: Let's \: solve} : [/tex]

☄ [tex] \underline{ \underline{ \sf{Provided : }}}[/tex]

☄ [tex] \underline{ \sf{To \: Find :}}[/tex]

✏ [tex] \text{Set \: up \: an \: equation \: and \: solve \: for \: x.}[/tex]

[tex] \text{{∠a \: + \: ∠ \: b \: + \: ∠ \: c \: = \: 180 \degree}}[/tex]

→ [tex] \sf{2x + 3x + 4x = 180 \degree}[/tex]

→ [tex] \sf{9x = 180 \degree}[/tex]

→ [tex] \sf{ \frac{9x}{9} = \frac{180 \degree }{9} }[/tex]

→ [tex] \sf{x = 20 \degree}[/tex]

The value of x is 20°. As we are asked to find the measure of ∠C , substituting the value of x in 4x :

[tex] \text{∠c = 4x}[/tex]

→ [tex] \sf{∠ \: c \: = 4 \times 20 \degree}[/tex]

→ [tex] \boxed{ \bold{ \pink{ \sf{∠c \: = 80 \degree}}}}[/tex]

Hence , The measure of ∠ C is 80 °

Hope I helped ! ッ

Have a wonderful day / night ! ♡

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Answer:

divide the monthly payments by the hire purchase

Step-by-step explanation:

this may be what your asking

Answer:

The indifference point is 20 tiles.

Step-by-step explanation:

First, we need to establish the total cost formulas for each store:

Store 1:

Total cost= 10 + 0.99*x

Store 2:

Total cost= 1.49*x

x= number of tiles

Now, we equal both formulas and isolate x:

10 + 0.99x = 1.49x

10= 0.5x

10/0.5=x

20=x

The indifference point is 20 tiles.

Given:

The function is

[tex]g(x)=(\dfrac{1}{5})^x[/tex]

To find:

The correct ordered pairs.

Solution:

We have,

[tex]g(x)=(\dfrac{1}{5})^x[/tex]

For x=3,

[tex]g(3)=(\dfrac{1}{5})^3[/tex]

[tex]g(3)=\dfrac{1}{125}[/tex]

So, the ordered pair is [tex](3,\dfrac{1}{125})[/tex].

For x=-2,

[tex]g(-2)=(\dfrac{1}{5})^{-2}[/tex]

[tex]g(-2)=(5)^2[/tex]             [tex][\because (\dfrac{a}{b})^{-n}=(\dfrac{b}{a})^n][/tex]

[tex]g(-2)=25[/tex]

So, the ordered pair is [tex](-2,25)[/tex].

For x=1,

[tex]g(1)=(\dfrac{1}{5})^1[/tex]

[tex]g(1)=\dfrac{1}{5}[/tex]

So, the ordered pair is [tex](1,\dfrac{1}{5})[/tex].

For x=-1,

[tex]g(-1)=(\dfrac{1}{5})^{-1}[/tex]

[tex]g(-1)=(5)^1[/tex]             [tex][\because (\dfrac{a}{b})^{-n}=(\dfrac{b}{a})^n][/tex]

[tex]g(-1)=5[/tex]

So, the ordered pair is (-1,5). This is the correct answer.

Therefore, the correct option is D.

Answer:

106

Explain how you found your answer:

Answer:

QR = 1.3

Step-by-step explanation:

Sides TQ and TS are congruent, thus Δ QST is isosceles.

RT is a perpendicular bisector, that is it bisects QS at right angles, thus

QR = RS = 1.3

The measure of length of QR is 1.3 units.

Isosceles triangles are those triangles that have at least two sides of equal measure and two base angles are equal.

In the given triangle TQS, QT=TS=4.7 units, so triangle TQS, isosceles triangle.

In isosceles triangle TQS, TR is the perpendicular bisector.

Then QR=RS= 1.3 units

Therefore, the measure of length of QR is 1.3 units.

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Answer:

8 and 9

Step-by-step explanation:

8^2 is 64 and 9^2 is 81 so 8 and 9

Answer:

It will take 21 years.

Step-by-step explanation:

First, find what x would be for it to equal 40 feet. This can be done with the equation 4.5 + 1.75x = 40.

4.5 + 1.75x = 40

Subtract 4.5 from both sides. This cancels out the +4.5.

1.75x = 40 - 4.5

Subtract 4.5 from 40 to get 35.5.

1.75x = 35.5

Divide both sides by 1.75. This cancels out the *1.75.

x = 35.5/1.75

Expand 35.5/1.75 by multiply both the numerator and denominator by 100.

x = 3550/175

Reduce 3550/175 by canceling out 25.

x = 142/7 = 20 2/7

Go up by one from 20 to get the answer of 21 years.

Answer:

Now that you are certain all triangles have interior angles adding to 180° , you can quickly calculate the missing measurement. You can do this one of two ways: Subtract the two known angles from 180° . Plug the two angles into the formula and use algebra: a + b + c = 180°

Answer:

a7 b8

Step-by-step explanation:

Answer:

8.26 repeating 6/ square root 11

Step-by-step explanation:

Examples of Irrational Numbers

Pi, which begins with 3.14, is one of the most common irrational numbers. ...

e, also known as Euler's number, is another common irrational number. ...

The Square Root of 2, written as √2, is also an irrational number.

Answer:

C

Step-by-step explanation:

edge 2020 took the quiz

Answer:

x=56

(I do not know 100% but give it a try)

Step-by-step explanation:

You need to input the vertical angles and see what the supplementary angles are and then you get your answer. 180-60=x    180-60= 120   120-40-24= 56

Answer:

the answer is 45 minutes, hope this helped :-)

Step-by-step explanation:

18:3=6

270:6=45

Answer:they spent 15 minutes in the shower

Step-by-step explanation:

Answer:

x- 63 and y - 27

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

Answer:

3672

Step-by-step explanation:

If  8 gallons of gas were used to drive 204 miles  multiply  18x204=3,672 miles

The car be driven 459 miles on 18 gallons of gas.

A quantity is said to be linearly proportional to another quantity, if the value of the first quantity varies linearly with the second quantity.

Given,

8 gallons of gas is used to drive 204 miles.

Also, the number of miles driven varies directly with the number of gallons of gas used.

Therefore, (number of miles)/18 = 204/8

                    number of miles = 18 × (204/8)

                                                = 18 × 25.5

                                                = 459 miles

Hence, the car be driven 459 miles on 18 gallons of gas.

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Explanation: Just like any of your two-step equations,

in this inequality,  start by isolating the x term which in this

case is -3x by subtracting 5 from both sides.

That leaves you with -3x < -24.

To get x by itself, divide both sides by -3 but watch out.

When you multiply or divide both sides of an inequality by a

negative number, you must switch the direction of the inequality sign.

So we have x < 8 and put your final answer in

set notation and it look like this → {x: x < 8}.

Answer:

8 servings

Step-by-step explanation:

12 times 8 is 96 servings

Answer:

Huh!

The circles with of same radii or same circumference or same area are congruent.

No need to proof!

Step-by-step explanation:

Or just type it,

'Since they have the same radii, they are congruent!'

The two given circles are congruent as their radius are similar.

So, the two circles are congruent because:

We know that:

So, the two circles will be congruent.

Therefore, the two given circles are congruent as their radius are similar.

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Answer:

Here Is Your Answer Less Than 0 But Greater Than 10

Answer:

f(x) = 3(x - 2)² + 4

OR  

f(x) = 3x² - 12x + 16

Step-by-step explanation:

Vertex form of a parabola:

Standard form of a parabola:

Let's find the vertex of this parabola.

In order to find the a-value (vertex form), let's use another point besides the vertex on the parabola.

Using (3, 7) for (x, y), let's substitute this point and the vertex (2, 4) for (h, k) into the vertex form equation and solve for a.

Simplify using PEMDAS.

Subtract 4 from both sides.

Now we have (h, k) and a of the vertex form.

In order to convert from vertex to standard form, simplify the equation by FOILing.

Distribute 3 inside the parentheses.

Combine like terms.

Therefore, we have the answer:

Vertex form:

Standard form:

Answer:

x = -4 , x = -1

Step-by-step explanation:

x² + 5x + 4 = 0

x² + 4x + x + 4 = 0

x ( x + 4 ) + x + 4 = 0

( x + 4 )( x + 1 ) = 0

i) x + 4 = 0

x = -4

ii) x + 1 = 0

x = -1

Answer:

13

Step-by-step explanation:

(2)2 + (3)3 = 4 + 9 = 13

Answer: 31

Step-by-step explanation:

(4) 4 + (3) 3

P2 - 2 x 2

= 4

R3 - 3 x 3 x 3

= 27

27 + 4

= 31

Hope it helps!

Given:

The equation is

[tex]-\dfrac{1}{4}d-\dfrac{2}{5}d=39[/tex]

To find:

The value of d.

Solution:

We have,

[tex]-\dfrac{1}{4}d-\dfrac{2}{5}d=39[/tex]

Taking LCM, we get

[tex]\dfrac{-5d-8d}{20}=39[/tex]

[tex]\dfrac{-13d}{20}=39[/tex]

Multiply both sides by 20.

[tex]-13d=39\times 20[/tex]

Divide both sides by -13.

[tex]d=\dfrac{39\times 20}{-13}[/tex]

[tex]d=-3\times 20[/tex]

[tex]d=-60[/tex]

Therefore, the value of d is -60.