A store is having a sale in which all bookbags are discounted by `30\%`. Mai has a coupon for `\$5` off the regular price of one bookbag. The store first applies this coupon, and then takes `30\%` off the reduced price. Mai pays `\$23.10` for the bookbag.



You said the equation represents this scenario, and the solution to your equation was `\$35.56`.



Explain what the solution to the equation means within the context of the problem.

Answer:

Step-by-step explanation:

[tex]\frac{6}{3}=\frac{AC}{6}\\AC=12[/tex]

Answer:

BC.

use the distance formula between each segment

The distance the water sprays as the sprinkler rotates is 7.34 ft

Since the grassy area is circular, its area is the area of a circle.

So, A = πr² where r = radius of circle = distance sprinkler sprays

Making r subject of the formula, we have

r = √(A/π)

Since A = 172 ft², substituting the values of the variables into the equation, we have

r = √(A/π)

r = √(172 ft²/π)

r = √(172 ft²/3.142)

r = √(54.749 ft²)

r = 7.34 ft

So, the distance the water sprays as the sprinkler rotates is 7.34 ft

Learn more about area of a circle here:

https://brainly.com/question/12269818

Answer:

1.= 178 2.= 165 3.= 93 4.= 46

Step-by-step explanation: If you read the letter coordations and minus the orbs and graphs then you would get your first answer then you would multiply it by the same number. hope this helps :)

Answer:

19.5552

Step-by-step explanation:

34.92 x 0.56

Use calculator or use long multiplication.

    3492

       ×56

  20952

+17460  

195552

How many numbers are after the point on both of the numbers?

2 each. 2 + 2 = 4

We will take our result 4 points back or divide it by 10^4

195552 / 10000 = 19.5552

Answer: 9.985m/s

Step-by-step explanation:

speed = distance/time

          = 200/20.03

          = 9.9850224663

          ≈ 9.985m/s

As we know that the standard equation of circle is [tex]{\bf{(x-h)^{2}+(y-k)^{2}=r^{2}}}[/tex] , where r is the radius of circle and centre at (h,k)

Now , as the circle passes through (2,9) so it must satisfy the above equation after putting the values of h and k respectively

[tex]{:\implies \quad \sf \{2-(-1)\}^{2}+(9-5)^{2}=r^{2}}[/tex]

[tex]{:\implies \quad \sf (3)^{2}+(4)^{2}=r^{2}}[/tex]

[tex]{:\implies \quad \sf 9+16=r^{2}}[/tex]

After raising ½ power to both sides , we will get r = +5 , -5 , but as radius can never be -ve . So r = +5

Now , putting values in our standard equation ;

[tex]{:\implies \quad \sf \{x-(-1)\}^{2}+(y-5)^{2}=(5)^{2}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{(x+1)^{2}+(y-5)^{2}=25}}}[/tex]

This is the required equation of Circle

Refer to the attachment as well !

Answer:

(C) 30πcm

Step-by-step explanation:

In order to find circumference you use the formula C (circumference)=2(pi)(r) in which r is the radius. In this case, two and 15 are thirty so to find the circumference all you have is the equation 30 times pi centimeters is equal to the Circumference.

Answer: 7, 2 in order.

Step-by-step explanation:

We can combine like terms.

5 - 4 + 1 = 2.

Therefore, 5 - 4 + 7x +1 = 7x + 2.

Thus, the blanks are 7, 2 in order.

Answer:

7x + 2

Step-by-step explanation:

5-4 +7x +1

= 7x+1+5-4

= 7x + 2

Answer:

V= π r2h

is this right

Step-by-step explanation:

We know that the function period is 3 so the b value is

[tex] \frac{2\pi}{b} = 3[/tex]

[tex]b = \frac{2\pi}{3} [/tex]

So our b is 2 pi/3.

The midline is -3 and the amplitude is 2.Since this function isn't symmetric about y axis, and looks symmetric about orgin, we trig function will be Sine so we have

[tex]2 \sin ( \frac{2\pi}{3}x ) - 3[/tex]

The function passes through 0,-3 and our function on the graph passes through 1,-3 so we shift one unit to left.

[tex]2 \sin(\frac{2\pi}{3}(x + 1) ) - 3[/tex]

Answer:

K=49π cm^2

Step-by-step explanation:

Area of a circle: πr^2

r=7

7^2=49

Therefore, the answer is 49πcm^2

Answer:

P=18

Step-by-step explanation:

45/20= 40.5/P

45p=810

p=18

Answer:

so you don't have to give me points but I can explain how to do it

Step-by-step explanation:

so for number 1. it says y=3x-7 and the equation is 5x+4y=6

so basically your plugging in y so

5x+5(3x-7)=6 and you will get your answer

Answer:

3 cups

1/2x6=3

something I recommend for questions like this is the Desmos calculator, it does fractions and decimals.

Answer:

the sides of a rectangular are (x+1)m and (2x +5)m if the perimeter is 36m find the value of x

the sides of DA rectangular are (x+1)m and (2x +5)m i

f the perimeter is 36m find the value of x!!!!!

x=22

Answer:

(© 105 + 90 = (52 - 70)

Step-by-step explanation:

Answer: 105 minutes

Step-by-step explanation:

Answer:

Second answer

Step-by-step explanation:

We are given [tex]\displaystyle \large{\sec \theta = -3}[/tex] and [tex]\displaystyle \large{\sin \theta > 0}[/tex]. What we have to find are [tex]\displaystyle \large{\cot \theta}[/tex] and [tex]\displaystyle \large{\cos \theta}[/tex].

First, convert [tex]\displaystyle \large{\sec \theta}[/tex] to [tex]\displaystyle \large{\frac{1}{\cos \theta}}[/tex] via trigonometric identity. That gives us a new equation in form of [tex]\displaystyle \large{\cos \theta}[/tex]:

[tex]\displaystyle \large{\frac{1}{\cos \theta} = -3}[/tex]

Multiply [tex]\displaystyle \large{\cos \theta}[/tex] both sides to get rid of the denominator.

[tex]\displaystyle \large{\frac{1}{\cos \theta} \cdot \cos \theta = -3 \cos \theta}\\\displaystyle \large{1=-3 \cos \theta}[/tex]

Then divide both sides by -3 to get [tex]\displaystyle \large{\cos \theta}[/tex].

Hence, [tex]\displaystyle \large{\boxed{\cos \theta = - \frac{1}{3}}}[/tex]

__________________________________________________________

Next, to find [tex]\displaystyle \large{\cot \theta}[/tex], convert it to [tex]\displaystyle \large{\frac{1}{\tan \theta}}[/tex] via trigonometric identity. Then we have to convert [tex]\displaystyle \large{\tan \theta}[/tex] to [tex]\displaystyle \large{\frac{\sin \theta}{\cos \theta}}[/tex] via another trigonometric identity. That gives us:

[tex]\displaystyle \large{\frac{1}{\frac{\sin \theta}{\cos \theta}}}\\\displaystyle \large{\frac{\cos \theta}{\sin \theta}[/tex]

It seems that we do not know what [tex]\displaystyle \large{\sin \theta}[/tex] is but we can find it by using the identity [tex]\displaystyle \large{\sin \theta = \sqrt{1-\cos ^2 \theta}}[/tex]  for [tex]\displaystyle \large{\sin \theta > 0}[/tex].

From [tex]\displaystyle \large{\cos \theta = -\frac{1}{3}}[/tex] then [tex]\displaystyle \large{\cos ^2 \theta = \frac{1}{9}}[/tex].

Therefore:

[tex]\displaystyle \large{\sin \theta=\sqrt{1-\frac{1}{9}}}\\\displaystyle \large{\sin \theta = \sqrt{\frac{9}{9}-\frac{1}{9}}}\\\displaystyle \large{\sin \theta = \sqrt{\frac{8}{9}}}[/tex]

Then use the surd property to evaluate the square root.

Hence, [tex]\displaystyle \large{\boxed{\sin \theta=\frac{2\sqrt{2}}{3}}}[/tex]

Now that we know what [tex]\displaystyle \large{\sin \theta}[/tex] is. We can evaluate [tex]\displaystyle \large{\frac{\cos \theta}{\sin \theta}}[/tex] which is another form or identity of [tex]\displaystyle \large{\cot \theta}[/tex].

From the boxed values of [tex]\displaystyle \large{\cos \theta}[/tex] and [tex]\displaystyle \large{\sin \theta}[/tex]:-

[tex]\displaystyle \large{\cot \theta = \frac{\cos \theta}{\sin \theta}}\\\displaystyle \large{\cot \theta = \frac{-\frac{1}{3}}{\frac{2\sqrt{2}}{3}}}\\\displaystyle \large{\cot \theta=-\frac{1}{3} \cdot \frac{3}{2\sqrt{2}}}\\\displaystyle \large{\cot \theta=-\frac{1}{2\sqrt{2}}[/tex]

Then rationalize the value by multiplying both numerator and denominator with the denominator.

[tex]\displaystyle \large{\cot \theta = -\frac{1 \cdot 2\sqrt{2}}{2\sqrt{2} \cdot 2\sqrt{2}}}\\\displaystyle \large{\cot \theta = -\frac{2\sqrt{2}}{8}}\\\displaystyle \large{\cot \theta = -\frac{\sqrt{2}}{4}}[/tex]

Hence, [tex]\displaystyle \large{\boxed{\cot \theta = -\frac{\sqrt{2}}{4}}}[/tex]

Therefore, the second choice is the answer.

__________________________________________________________

Summary

[tex]\displaystyle \large{\sec \theta = \frac{1}{\cos \theta}}\\ \displaystyle \large{\cot \theta = \frac{1}{\tan \theta} = \frac{\cos \theta}{\sin \theta}}\\ \displaystyle \large{\sin \theta = \sqrt{1-\cos ^2 \theta} \ \ \ (\sin \theta > 0)}\\ \displaystyle \large{\tan \theta = \frac{\sin \theta}{\cos \theta}}[/tex]

[tex]\displaystyle \large{\sqrt{\frac{x}{y}} = \frac{\sqrt{x}}{\sqrt{y}}}[/tex]

Let me know in the comment if you have any questions regarding this question or for clarification! Hope this helps as well.

X=45

Step-by-step explanation:

This is a 180 degree angel

180-45=135

Divide 135 by 3

135/3=45

2(45)+45=135

other side

45

135+45=180

Answer:

f⁻¹(x) = x/4 - 2

Step-by-step explanation:

Interchange the variables.
Solve for y.
Replace

y with f⁻¹ (x) to show the final answer.
Verify if f⁻¹ (x) = x/4 − 2 is the inverse of f(x) = 4x + 8.

Answer:

King Leopold became the monarch of Belgium in 1865

The axis of symmetry for the graph of the function f(x) = 3x2 + bx + 4 is x = 3/2 , the value of b is -9.

Axis of symmetry is a line that divides an object into two equal halves, thereby creating a mirror-like reflection of either side of the object.

Given

The axis of symmetry for the graph of the function f(x) = 3x2 + bx + 4 is x = 3/2 .

The axis of the symmetry is given by;

[tex]\rm x=\dfrac{-b}{2a}[/tex]

The value of x is 3/2 and a is 3.

Substitute all the values in the formula

[tex]\rm x=\dfrac{-b}{2a}\\\\\dfrac{3}{2}=\dfrac{-b}{2 \times 3}\\\\\dfrac{3}{2}=\dfrac{-b}{6}\\\\ -b = \dfrac{6 \times 3}{2}\\\\ b = \dfrac{=18}{2}\\\\b =-9[/tex]

Hence, the value of b is -9.

To know more about the axis of symmetry click the link given below.

https://brainly.com/question/12896816

Answer:

No, you did not get a B+, you got an 85.6% for the class

Step-by-step explanation:

So, let's split the grades into different parts:

Quiz: 15%

Exam1: 15%

Exam2: 15%

Exam3: 15%

Homework: 10%

Final: 30%

Each part of the grade adds up together to be 100%, so here, we are going to multiply each weighting of the grade with the average amount of points you got for each assignment then add it all up.

(Notice how I convert the percentages to decimals to make it easier to multiply)

Quiz: 0.15(85) = 12.75

Exam1: 0.15(78) = 11.70

Exam2: 0.15(81) = 12.15

Exam3: 0.15(92) = 13.80

Homework: 0.10(85) = 8.50

Final: 0.3(89) = 26.70

Adding these all up:

12.75 + 11.70 + 12.15 + 13.80 + 8.50 + 26.70 = 85.6

You got an 85.6% for the class, which is not a B+

Feel free to ask any questions you may have in the comments! :D

The value of the logarithm function log₅25 is 2. Then the correct option is C.

Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.

The logarithmic form of 25 will be

We know that if the base of the logarithm is the same as the number then the value of the logarithm will be 1 one that is given as

[tex]\rm log_a a = 1[/tex]

Then take the log with the base value of 5.

log₅25 = log₅5²

log₅25 = 2 × log₅5

log₅25 = 2

The value of the logarithm function log₅25 is 2. Then the correct option is C.

More about the logarithm link is given below.

https://brainly.com/question/7302008

Answer:

c

Step-by-step explanation:

Answer:

The population after 7 years will be 11887

Step-by-step explanation:

Given

Population = P_0 = 10000

Growth Rate = r = 2.5%

Time = t = 7

The formula for calculating the population after given time at given rate is:

The population after 7 years will be 11887

Step-by-step explanation:

Answer:

(a) the objective is to determine if the artificial light from e-Readers also disrupted sleep.

sorry thats all i know