Why is the perimeter of the parallelogram?

Answer:

x=31

Step-by-step explanation:

tan^-1(12/20)=x

x is about 31 degrees

I hope this helped and have a good rest of your day!

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:

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:

C. Exponential decay

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

If you multiply 5 by 60 you will get the total number of people, 300. If you then multiply 4 by 60, you get 240. That means 60 people dont have pets.

The answer is 60.

If you multiply 5 by 60 you will get the total number of people, 300. If you then multiply 4 by 60, you get 240. That means 60 people don't have pets.

Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.

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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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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:

Option B

The directrix of the parabola is parallel to the axis of symmetry

Step-by-step explanation:

The directrix of the parabola is not parallel to the axis of symmetry. It is as a matter of fact, perpendicular to it.

A parabola is actually a set of points that are equidistant from a given point, the focus, and a given line the directrix.

The axis of symmetry is a line that divides the parabola into two equal halves and it always passes through the focus.

The directrix of the parabola is always perpendicular to this axis of symmetry as they always intersect at right angles.

We want to see which one of the given statements is false. We will see that the false one is B: "The directrix of the parabola is parallel to the axis of symmetry"

So in a parabola, we define the axis of symmetry as the vertical line that divides the parabola in two equal parts.

For a general parabola:

y = a*x^2 + b*x + c

The line of symmetry is at:

x = -b/2a

While we know that in a parabola the directrix is a horizontal line.

So the axis of symmetry and the directrix are perpendicular lines.

Then the statement that is false is B: "The directrix of the parabola is parallel to the axis of symmetry"

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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:

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:

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:

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

Question:

What is the area of the SHADED sector of the circle?

Image of the circle is attached.

A) 400π units²

B) 20π units²

C) 180π units²

D) 40π units²

Answer:

C) 180π units²

Step-by-step explanation:

From thr circle, we can see that the given radius is 20 and the shaded part is 162°

The formula to calculate the area of the shaded sector of a circle is =

Area of the circle * fraction of the shaded part of the circle.

We know area of a circle = πr²

Therefore, area of the shaded sector =

[tex] = \pi r^2 * \frac{162}{360}[/tex]

[tex] = 20^2 * \pi * 0.45 [/tex]

[tex] = 400 * 0.45 * \pi [/tex]

[tex] = 180 \pi [/tex]

Area of the shaded sector of the circle is 180π units²

Answer:

1/6

Step-by-step explanation:

the number on the bottom of the fraction (denominator) is equal to the total number of possibilities (in this case there are 6 possibilities). for the number on top (the numerator) we are trying to work out the probability of rolling a 3. a 3 is only 1 of the 6 options (1, 2, 3, 4, 5, 6) so the number on top is 1.

I hope this was helpful :-)

Answer:

1853metre

Step-by-step explanation:

Taking Danta distant as x

While Cam's will be 5x because he cover distance 5 time more than dante

I.e. Cam rode 10.25 km, to get what dante covers

5x=10.25

x=10.25/5

x=2.05km

Dante rode 2.05 km as calculated above

We must remember 1km=1000m. Hence, 2.05 km=2050 m

From the question, "Dante rod 197 m more than Michael", the distance Michael will ride then will be:

2050 metre - 197 metre

=1853 metre

Michael have rode 2863 metre

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

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:

110

Step-by-step explanation:

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:the surface area of the pyramid is

16 square feet

Step-by-step explanation:

I found this on a website called quizlet and it showed the answer to this problem

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:

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:

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:

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:

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:

triangle decagon

Step-by-step explanation:

easy bro

Answer:

b and c

Step-by-step explanation:

not enough sides on the cube for these two to work

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:

1,300.62

Step-by-step explanation:

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