Write the given percent of increase or decrease as a growth factor.



7% Increase


a.1.7

c. 7.1

c.1.007

d.1.07

Given:

Consider the below figure attached with this question.

To find:

The per perimeter of the isosceles trapezoid. Round all figures to the nearest hundredths place.

Solution:

Consider the isosceles trapezoid is ABCD.

Draw two perpendicular from C and D to  AB as shown in second figure.

Now, CDEF is a rectangle,

[tex]EF=CD=9\text{ ft}[/tex]

[tex]AB-EF=13-9[/tex]

[tex]AB-EF=4\text{ ft}[/tex]

It is an isosceles trapezoid, so [tex]\Delta ADE\cong \Delta BCF[/tex].

[tex]AE=BF=\dfrac{4}{2}=2\text{ ft}[/tex]

Now,

[tex]AE^2+DE^2=AD^2[/tex]         [Pythagoras theorem]

[tex]2^2+4^2=AD^2[/tex]

[tex]4+16=AD^2[/tex]

[tex]\sqrt{20}=AD[/tex]

[tex]AD=BC\approx 30.94[/tex]          [Isosceles trapezoid]

Find the perimeter of the figure.

[tex]Perimeter=AB+BC+CD+AD[/tex]

[tex]Perimeter=13+4.47+9+4.47[/tex]

[tex]Perimeter=30.94\text{ ft}[/tex]

Therefore, the correct option is c.

Shorter Version: C lol

Answer:

Step-by-step explanation:

50 percent of 39=

39/2=19.50

Answer:

x= 7.41 (3 s.f.)

y= 9.53 (3 s.f.)

∠B= 51°

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

4(x - 3)(x^2 + 3x + 9)

Step-by-step explanation:

4x^3 - 108 = 4(x^3 - 27), or

                    4(x^3 - 3^3), or

                     4(x - 3)(x^2 + 3x + 9)    

We could choose to let 4 represent the height of the prism, x - 3 the width and x^2 + 3x + 9 the length.

Answer:

x = 8.4

Step-by-step explanation:

In a right triangle, an angle, the length of its adjacent side and the length of the hypotenuse can be related by the cosine.

In this question:

Angle of 40º.

Adjacent side of x, hypotenuse of 11. So

[tex]\cos{40} = \frac{x}{11}[/tex]

Using a calculator, we have that [tex]\cos{40} = 0.766[/tex]. So

[tex]x = 11*0.766 = 8.4[/tex]

The answer is x = 8.4

Answer:

1/12

Step-by-step explanation:

dice have 6 sides and the coin has 2 sides, so u multiply 6x2 to get your denominator 12. you are trying to get 1 side of the dice, and 1 side of the coin so the numerator is 1. when put together you get the fraction 1/12

Answer:

$13,724

Step-by-step explanation:

From the above question, we are given the following values:

Principal = P = $12,000

Interest = r = 2.25% = 0.0225

Compounded semi annually = n = 2

Time (t) = 6 years

From the question, we understand that we are to find the total (full) Amount Karen withdrew.

The formula to use to calculate the Total Amount of money given that this is a compound interest question is:

Total(full) Amount = P( 1 + r/n) ^n/t

= $12,000( 1 + 0.0225/2) ^2×6

= $12,000(1.01125)^12

= $13724.093289

Approximately to the nearest cent

≈ $13,724

Therefore, Karen withdrew $13,724 from the account.

I did not solve this question, I saw another answer and decided to share it.

Answer:

Step-by-step explanation:

If you divide 33 by 11 it’ll be 3 so we can cross B off, and A too because it’s not a double digit

So that leaves us with C & D.

If we divided 222 and 11 it would leave us with 10 which doesn’t match 11, so that leaves us with D

(Sorry if I didn’t’t explain right )

Answer:

d

Step-by-step explanation:

Answer:

RZ = 71

SW = 142

x = 22

Step-by-step explanation:

[tex]3x + 5 + 3x + 5 = 7x - 12 \\ \: \: \: \: \: \: \: \: \: \: \: 6x + 10 = 7x - 12 \\ \frac{ - 7x \: \: \: \: \: \: \: = - 7x}{ - 1x + 10 = - 12} \\ \frac{ \: \: \: \: \: \: \: \: \: - 10 = - 10}{ \frac{ - 1x}{ - 1} = \frac{ - 22}{ - 1} } \\ \\ x = 22[/tex]

Answer:

The solution is -1,-1

Step-by-step explanation:

The solution of a graph is where the two lines intersects and the this graph intersects at -1,-1

Answer: e. II and III

II. The mean of sample G, TG, is a point estimator for the mean of the population.

III. The mean of sample H, my, is a point estimator for the mean of the population.

Step-by-step explanation:

The point estimate simply means deriving a single value from a sample which could be used as a good or close estimate of the population from which the sample was drawn. A point estimator for the mean in the scenario above means a best guess of the mean value of the population from the sample mean.

Hence, since both sample G and H are drawn from the same population, both TG and TH which are mean of sample G and H can be used as a point estimator for the mean of the population.

However, it is does not necessarily mean that either the sample mean TG or TH must be equal to the population mean

Answer:

Option 1.

(I don't really have any explanation to add on)

Answer:

the 3th option

Step-by-step explanation:

hope it help you

Answer:

[tex]2160\pi \:\mathrm{ft^3} \approx 6786\:\mathrm{ft^3}[/tex]

Step-by-step explanation:

The volume of a cylinder is given as:

[tex]r^2\pi\cdot h[/tex].

Thus, the difference of the cylinders' volumes are:

[tex]|18^2\cdot 20\cdot \pi - 12^2\cdot 30 \cdot \pi|\approx \fbox{$6785.84\:\mathrm{ft^3}$}[/tex].

Since you've said [tex]6785.8[/tex] is not being accepted as an answer, please check all instructions to see if there are directions asking you to specifically round your answer. If not, you can ask your teacher/instructor what they're looking for.

Answer is: 50%

pretty easy/simple solution, you could have just looked it up.

Answer: 37.5 rounded it would be 38

Step-by-step explanation:

Answer:    R-squared (pronounced ARRRrrr-squared)

LOL, hope it helped.

Answer: R

That's my answer

Answer:

1) y+6 or 6+y 2) 12 x n = x 3) 24 + b = x 4) x - 18 5) n - 5 6)a / 3 or 3 / a

Step-by-step explanation:

Answer:

There is not enough information to say they are congruent

Step-by-step explanation:

To prove two triangles are congruent, you need 3 things, which you can see through the list of options you were given. But since we only have two, there isn't enough information to prove the are congruent.

Answer:

yes

Step-by-step explanation:

using elimination you can see every other answer is definitely wrong leaving you with just one which is 2UX

9514 1404 393

Answer:

  2UX (your answer is correct)

Step-by-step explanation:

One way to define a parabola is as the set of points equidistant from the focus and directrix.

That means the distance from W to the directrix must be the same as the distance WU. Since the parabola is symmetrical and WU is parallel to the directrix, we have WU = UT = UX. So the double length WT is double the distance UX:

  WT = 2UX

Step-by-step explanation:

44/13 ÷ -9

44/13 *1/-9

44/-117

The equivalent value of the expression A = 44/13 divided by (-9) = -0.3761

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 44/13 divided by ( -9 (

First, we can simplify 44/13 to a decimal:

44/13 = 3.3846 (rounded to four decimal places)

Then we can divide 3.3846 by -9:

3.3846 / (-9) = -0.3761 (rounded to four decimal places)

Therefore, 44/13 divided by (-9) is approximately equal to -0.3761

Hence , the equation is A = -0.3761

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

The total number of employees is 377.

Step-by-step explanation:

1. You divide total number of women (232) by the ratio of women. (8)

232/8 =29

2. You take 29 and multiply it by the amount of men in the ratio. (5)

29*5=145

3. Finally you just add the total amount of men (145) and the total amount of women. (232)

232+145=377

I hope this helps!

I tried to explain to the best of my ability.

Answer: 377 employees

Step-by-step explanation:

The ratio of men to women can be represented as [tex]\frac{5}{8}[/tex] where the numerator represents how many men are in the company, and the denominator represents how many women are in the company. Given that there are 232 women in the company, we can replace denominator with 232, and then cross multiply.

[tex]\frac{5}{8}= \frac{x}{232}[/tex]    After cross multiplying, the expression left would be 8x = 1160. To get the final answer, we would only need to simplify this. It would give us a total of 145, which is how many men work in the company.

Lastly, add the the number or men and women working in the company, and that would be the total people that work in the company

Let the two number is a and b

so,

product =ab=20

sum of square=[tex]\bold{a^2+b^2=41 }[/tex]

Then,

[tex]\bold{(a+b)^2=a^2+b^2+2ab }[/tex]

[tex]\bold{ (a+b)^2=41+2×40 }[/tex]

[tex]\bold{ (a+b)^2=81 }[/tex]

[tex]\bold{a+b=\sqrt{81} }[/tex]

[tex]\bold{a+b=9 }[/tex]•••••••••(equation I)

Now,

[tex]\bold{(a-b)^2=a^2+b^2-4ab }[/tex]

[tex]\bold{ (a-b)^2=41-4×20 }[/tex]

[tex]\bold{(a-b)^2=41-40 }[/tex]

[tex]\bold{a-b=\sqrt{1} }[/tex]

[tex]\bold{a-b=1 }[/tex]••••••••(equation II)

Now,combine the equation I and equation II

we,get

[tex]\bold{a+b+a-b=9+1 }[/tex]

[tex]\bold{a+\cancel{b}+a\cancel{-b}=10 }[/tex]

[tex]\bold{ 2a=10 }[/tex]

[tex]\bold{a=\dfrac{10}{2} }[/tex]

[tex]\blue{\boxed{ a=5 }}[/tex]

Then,

put the value of a in equation II.

we get that,

[tex]\bold{5-b=1 }[/tex]

[tex]\bold{b+1=5 }[/tex]

[tex]\bold{b=5-1 }[/tex]

[tex]\bold{\boxed{\blue{b=4}} }[/tex]

so,

The two number is 5 and 4.

Answer:

2/3

Step-by-step explanation:

Answer:

Truw

Step-by-step explanation:

It is exceptional

Answer:

D. tossing a coin 3 times

Answer:

g(2) = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

g(x) = x²

g(2) is x = 2

Step 2: Evaluate

Answer:

1/2

Step-by-step explanation:

the 2 numbers greater than 4 on a six sided die are 5 and 6, and with the 1, that is 3 numbers, or 3 sides of the die.

3/6 simplifies to 1/2

Step-by-step explanation:

The given numbers are : 32 , 48 , 140 , 120

First number is 32

Second number is 48

Third number is 140

Fourth number is 120

First number/second number :

[tex]\dfrac{N_1}{N_2}=\dfrac{32}{48}\\\\=\dfrac{2}{3}\ ....(1)[/tex]

Third number/Fouth number :

[tex]\dfrac{N_3}{N_4}=\dfrac{140}{120}\\\\=\dfrac{7}{6}\ ....(2)[/tex]

From equation (1) and (2) we can see that the ratio is not same. Hence, they are not in proportion.

Answer:

-10-6.(-3)

-10+18

=8

Step-by-step explanation: