Find the measures of a positive angle and a negative angle that are coterminal with each given angle. Part 2.

8. θ = -25°

9. θ = -390°

Complete question:

Joel has a goal to practice his clarinet for 4 1/2 per week. The list below shows the number of hours Joel has a practiced so far for the week. Monday 1 1/2 hours Wednesday 1 1/4 hours Thursday 1 hour How many more hours does he need to practice this week to meet his goal

Answer: 3/4 hours

Step-by-step explanation:

Target hours = 4 1/2 hours = 9/2 hours

Number of hours so far :

(1 1/2 + 1 1/4 + 1) = (3/2 + 5/4 + 1) hours

Total so far :

L. C. M of denominator = 4

(6 + 5 + 4) /4 = 15/4

Number of hours left to meet his target equals :

Target hours - total so far

( 9/2 - 15/4)

L. C. M of denominator = 4

(18 - 15) / 4 = 3/4 hours

.

Answer:

5.88 meters

Step-by-step explanation:

This is a problem of scale factor which uses the concept of ratio.

scale factor is the ratio of length of actual figure to length of its model.

Example: if an architect is drawing design for a building

if height of building is 100 meter but he is drawing this on paper of 1 meter then scale factor will 100/ 1= 100: 1.

It means that for every 100 meter of length of building, it can be represented by 1 meter of its model.

Thus if a building has length 200 meter then its model will be of 200/100 = 2 meter length.

______________________________________

We will solve the given problem based on use of this concept.

Height of man = 1.78 meter

since in picture unit of measure is in cm, lets convert 1.78 meter to centimetre.

1 meter = 100 cm

1.78 meter  = 100* 1.78 cm = 178 cm

height of man in picture = 2.3 cm

Scale factor = actual Height of man/Height of man in picture

              = 178/2.3 = 77391

_________________________________________

ratio of actual height of flagpole /  height of flagpole = actual Height of man/Height of man in picture

Substituting the value given in problem we have

actual height of flagpole/7.6 =  178/2.3

=>actual height of flagpole =  (178/2.3)* 7.6 = 588.172 cm.

Thus height of pole is 588.172 cm.

In meter, height of pole is 588.172*100 cm

height of pole is 5.88 meters

Average speed = 2.5 miles

Divide 6 from both sides.

6/6 = 1

15/6 = 2.5

So, overall Mark walks 2.5 miles per hour.

hope it helps!

Answer:

14,400

Step-by-step explanation:

i=prt

p=40,000

r=0.09 have to turn percent to decimal

t=4

(40,000)(0.09)(4)

Answer:

Well, this is simple.

I=PRT

(Interest= Principle*Rate*Time)

So, simply divide both sides by PR

T=I/PR

Your answer is C: T = I divided by the quantity P times R

(This should have been represented as: T= I/PR)

~Hope this helps

Step-by-step explanation:

Answer:

No, this triangle is not possible

Step-by-step explanation:

By the Triangle Inequality Theorem, it should be that:

a + b > c,

a + c > b,        ⇒         a, b, and c are sides of this triangle

b + c > a

~ In this case let us say a = 4 inches, b = 6 inches, and c = 11 inches ~

4 + 6 > 11,

4 + 11 > 6,        ⇒         Here 10 is not greater than 3rd side and thus    

11 + 6 > 4                                        doesn't form a triangle

Answer:

1,300.62

Step-by-step explanation:

The formula for a cylinder is A= 2 pi r h +2 pi r^2

Answer:

Bianca would be able to afford her dream car conveniently when she turns 16.

Step-by-step explanation:

Bianca was 5 years and wish to project her savings for the next 11 years.

On her 5th birthday, she saves $100

Her dad promises to double her money yearly with respect to a condition. So that;

On her 6th birthday, she would save $ 200

On her 7th birthday, she would save $400

On her 8th birthday, she would save $800

On her 9th birthday, she would save $1600

On her 10th birthday, she would save $ 3200

On her 11th birthday, she would save $ 6400

On her 12th birthday, she would save $12800

On her 13th birthday, she would save $25600

On her 14th birthday, she would save $51200

On her 15th birthday, she would save $102400

On her 16th birthday, she would save $204800

When she turns 16, she would have a total sum of $409500.

Therefore, Bianca would be able to afford her dream car conveniently when she turns 16.

Answer:

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

Step-by-step explanation:

The illustration form a triangle that can be demarcated into 2 right angle triangle. One triangle representing depression triangle and the other elevation triangle.

Depression triangle

The opposite side of the triangle formed is the length of the pole from the base to the horizontal line of sight. Therefore,

using tangential ratio

tan 35° = opposite/adjacent

tan 35° = a/8

cross multiply

a = 8 tan 35°

a = 8 × 0.70020753821

a = 5.60166030568

a = 5.602 ft

Elevation triangle

The opposite side of this right angle triangle represent the length from the horizontal line of sight to the top of the lamppost.

tan 20° = opposite/adjacent

tan 20° = b/8

cross multiply

b = 8 tan 20°

b = 8 × 0.36397023426

b = 2.91176187413

b = 2.912 ft

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

Answer:

C. Exponential decay

Step-by-step explanation:

Answer:

x=-5.5

Step-by-step explanation:

-3(x+4)=(-x-1)

1. Distribute

-3x+(-12)=-x-1

2. Simplify

-3x-12=-x-1

-2x-12=-1

-2x=11

x=-11/2

x=-5.5

Answer:

-11/2 or 5.5

Step-by-step explanation:

Answer:

C =119.32

A =1133.54

Step-by-step explanation:

UR is the radius = 19

Let pi = 3.14

The circumference is

C = 2*pi*r

C = 2 * 3.14 * 19

C =119.32

The area is given by

A = pi r^2

A = 3.14 * (19)^2

A =1133.54

Answer:

D

Step-by-step explanation:

The name for the angle shown is  ∠D and ∠CDE.

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

An angle is formed when two straight lines or rays meet at a common endpoint.

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Angles formed by two rays lie in the plane that contains the rays.

Angles are also formed by the intersection of two planes.

The name of the angle are ∠D and ∠CDE.

Hence, the name for the angle shown is  ∠D and ∠CDE.

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Answer:

Step 1: Commutative property

Step 2: Distributive property

Step 3: Add

Hope this helps you out!

Answer:

look at file for answer

Step-by-step explanation:

Answer:

35.98

Step-by-step explanation:

To find the perimeter take 1/2 of the circumference plus the length of the diameter

P = 1/2 * pi *d + d

  =1/2 pi 14 +14

  = 7pi +14

Letting pi = 3.14

      7(3.14) + 14

   21.98 +14

        35.98

Answer: D is a function.

Step-by-step explanation:

A function need to have exactly one output to each input.

Answer: D. (2, 3), (4, 3), (-2, -3), (-4,-3)

Step-by-step explanation: This represents a function because they're the opposing of each other. Hope this helps happy holidays! :)

Answer:

x = -3

Step-by-step explanation:

You have the following equation:

[tex]3(2x+4)=-6\\[/tex]

you first you distribution property in order to eliminate the parenthesis:

[tex]3*2x+3*4=-6\\\\6x+12=-6[/tex]

next, you subtract 12 in both sides of the equation:

[tex]6x+12-12=-6-12\\\\6x=-18[/tex]

Finally, you divide the equation by 6 and simplify:

[tex]\frac{6x}{6}=-\frac{18}{6}\\\\x=-3[/tex]

hence, the solution to the equation is x = -3

Answer:

Step-by-step explanation:

Greatest common factor of 7 and 7 is 7

What is Greatest common factor ?

The Greatest common factor is highest common factor of the given numbers .

Here the given numbers are 7 , 7. Now the steps to find the Greatest common factor are :

1) write all the factors of the give numbers :

factors of 7 = 7,1

factors of 7 = 7,1

2) write all the common factors of given numbers :

common factors of 7,7 = 1,7

3) The highest factor of all the common factor will be the Greatest common factor :

Highest number from 1,7 is 7

Therefore, greatest common factor of 7 and 7 is 7

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Answer:

B several

Step-by-step explanation:

The solutions are where the graphs intersect

It appears there are 3 points of intersection

Given the choices

It is more than one and less than infinite

Answer: Of the 800 customers, 520 would be satisfied with the cleanliness of the store

Step-by-step explanation:

Here is the complete question:

A grocery store polls every twentieth customer to determine if they are satisfied with the cleanliness of the store. Forty customers are surveyed and 26 are satisfied. What conclusion can be drawn for the 800 daily customers?

A. 65% of the customers are unsatisfied with the cleanliness of the store.

B. Of the 800 customers, 520 would be satisfied with the cleanliness of the store

C. 40% of the customers are satisfied with the cleanliness of the store

We are informed that out of 40 customers that are surveyed, 26 are satisfied with the cleanliness of the store. This means that (26/40) = 13/20 = 65% are satisfied with the store.

If 800 customers are surveyed, this will mean that: 65% of 800.

= 65/100 × 800

= 65 × 8

= 520 will be satisfied.

Answer:

a=9

b=15

Step-by-step explanation:

Well the area formula of a trapezoid is: [tex]\frac{a+b}{2} *h[/tex]

[tex]\frac{a+b}{2} *4=48[/tex]

Divide both sides by 4

[tex]\frac{a+b}{2} =12[/tex]

Multiply both sides by 2

a+b=24

Now since one of the sides (b) is 6 inches longer than a, we get;

a+a+6=24

Subtract 6 from both sides

2a=18

Divide both sides by 2

a=9

b=9+6=15

Answer: Rina is [tex]x+\dfrac{1}{4}[/tex] feet taller than Ryan.

Step-by-step explanation:

Given, the height of Rina = [tex]6x+\dfrac{3}{8}[/tex] feet

The height of Ryan = [tex]5x+\dfrac{1}{8}[/tex] feet

To find : How much taller is Rina than Ryan?

Clue : Rina is taller than Ryan.

For that , we need to check the difference of the height between Ryan and Rina

i.e. (height of Rina) - (height of Ryan)

[tex]=6x+\dfrac{3}{8}-(5x+\dfrac{1}{8})\\\\=6x+\dfrac{3}{8}-5x-\dfrac{1}{8}\\\\=x+\dfrac{3-1}{8}\\\\=x+\dfrac{2}{8}\\\\=x+\dfrac{1}{4}[/tex]

Hence, Rina is [tex]x+\dfrac{1}{4}[/tex] feet taller than Ryan.

Answer:20.8 In^2

Step-by-step explanation:

Base=10.4

Height=4

Area of =(base x height)/2

Area of =(10.4x4)/2

Area of =41.6/2

Area of =20.8

Answer:

A is correct.

Step-by-step explanation:

Plug the 12 books he bought into the equation. Then, multiply 2.25 and 12, and that's your answer. Hope this helps. Please mark Brainliest! :)

Answer:

2 Ounces.

Step-by-step explanation:

Each rocket must weigh 4 pounds or less.

Therefore: 4 Pounds =16 X 4=64 Ounces

Since Hectors rocket weighs 62 ounces and he cannot exceed 64 Ounces, the weight of the most paint he can use is:

64-62=2 Ounces.

He can use paint that weights at most 2 Ounces.

Answer:

110

Step-by-step explanation:

Answer:

An equivalent expression = 8b + (-4)

Step-by-step explanation:

In Mathematics, numbers exhibit or are guided by certain properties that they can show.

Some of those of properties are :

a) Commutative property where:

a + b = b + a

b) Associative property

a+( b + c) = (a + b) + c

c) Additive inverse property

a - b = a + ( - b)

For the question above, we are told that the total cost of what Karen bough is represented by the expression 8b - 4. We are asked find the equivalent expression.

An equivalent expression is defined as an expression that has the exact value for all the values obtained from the variable.

Hence, using the Additive inverse property

a - b = a + ( - b)

The equivalent expression for 8b - 4 = 8b + ( -4)

Answer:

( l+w)

Step-by-step explanation:

just did the question

The expression to subtract from Hallie's equation is (l + w).

Option A is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

p = 4l + 4w + 4h

p/4 = (4l + 4w + 4h) / 4

p/4 = l + w + h

h = p/4 - (l + w)

Thus,

(l + w) is subtracted from the equation.

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