What is the value of the expression?
tan π/6

Answer:

The correct answer is first option  6 units

Step-by-step explanation:

From the figure we can see a rectangle was mediated to crerate A'B'C'D'

To find the value of AB

AB = ?

A'B' = 15 units

BC = 3.8 units

B'C' = 9.5 units

From the figure we can write,

A'B'/AB = B'C'/BC

15/AB = 9.5/3.8

AB = (15 * 3.8)/9.5 = 6 units

Therefore the correct answer is first option 6 units

Answer:

The value of a4 is 6

Step-by-step explanation:

* Lets revise the rule of the geometric series

- There is a constant ratio between each two consecutive numbers

- Ex:

# 5  ,  10  ,  20  ,  40  ,  80  ,  ………………………. (×2)

# 5000  ,  1000  ,  200  ,  40  ,  …………………………(÷5)  

* General term (nth term) of a Geometric series:

- a1 = a  ,  a2 = ar  ,  a3  = ar2  ,  a4 = ar3  ,  a5 = ar4

- an = ar^n-1, where a is the first term , r is the constant ratio

  between each two consecutive terms  and n is the position

  of the number in the series

* Now lets solve the problem

- The rule of the series is  2/9 (3)^n - 1

∴ a = 2/9 and r = 3

- To find a4 put n = 4

∴ a4 = 2/9 (3)^(4 - 1) = 2/9 (3)³ = 2/9 (27) = 6

∴ The series is 2/9 , 2/3 , 2 , 6 , ........

* The value of a4 is 6

Answer:

r

Step-by-step explanation:

Surface area: 2 × w × l + 2 × l × h + 2 × h × w

Answer:

156 in. squared

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

This figure is a trapeoid.

Turning the figure sideways,

A = 1/2 (b1+b2) *h  where b1 and b2 are the top and bottom and h is the height

b1 and b2 are the  top and bottom so b1 =6 and b2=12  and h is the height so h = 4

A = 1/2 (6+12)*4

A = 1/2 (18)*4

   = 9*4

   = 36 in^2

The area of the irregular figure is 36 sq. in.

Given is an irregular figure with dimensions 6 in, 4 in and 12 in, we need to find the area of the irregular figure,

To find the area of the given figure, we will break the figure into two regular figures,

a) Triangle [base = 4 in and height = 12-6 = 6 in]

b) Parallelogram [base = 4 in and height = 6 in]

Area of a triangle = 1/2 × base × height

Area of a parallelogram = base × height

Therefore,

Area of the irregular figure = [1/2 × 4 × 12] + 4 × 6

= 24 + 12

= 36

Hence the area of the given figure is 36 in².

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Answer:

2 13/15

Step-by-step explanation:

2.26/ 1 X 100/100 = 226/100

226/100 Dived by 2 ( both top and bottom ) = 113/50

113/50 = 2 13/50

2.26 = 2 13/50

Answer:

1.625

Step-by-step explanation:

Answer:

If sine theta = .3090 then arc sine theta =

18 degrees

Then we look up csc 18 degrees which = 3.2361

Step-by-step explanation:

Answer:

cscΘ ≈ 3.2362

Step-by-step explanation:

Using the trigonometric identity

• cscx = [tex]\frac{1}{sinx}[/tex] , then

cscΘ  = [tex]\frac{1}{0.3090}[/tex] ≈ 3.2362

Answer:

3 ft, 5ft, 6ft

Step-by-step explanation:

To build a kennel of my dog, I would try to make it the largest possible with what I have.

So, I would go with the 3 longest planks: 3ft, 5ft and 6ft.

By looking at the length, I see I could make something very close to a right triangle since I could use the 6ft as an hypotenuse, and have the two other sides as 3ft and 5 ft  (6² is almost 3²+5², which equal 34).

That means my corner angle would be slightly over 90 degrees.

Answer:

3,5,6

Step-by-step explanation:

because i said so

Answer:

Step-by-step explanation:

Z score is the number of standard devations above the mean.

For example if z=1, the data value is 1 st. dev. above the mean.

So, z=1.95, so the player's heigh is 1.95 st. dev. above the mean.

Answer:

1863254

Step-by-step explanation:

Answer:

balls

joe

mama

Step-by-step explanation:

Answer:

The answer is 48    NOT   12

Step-by-step explanation:

Answer:

Option (2)

Step-by-step explanation:

By using theorem of intersecting secant and tangent at a point outside a circle.

PB × PA = (PQ)²

Since, PB = 2 units

PA = (PB + AB)

     = (2 + 6)

     = 8 units

PQ = x units

Therefore, by substituting these values,

2 × 8 = x²

[tex]x^{2} = 16[/tex]

Therefore, Option (2) will be the correct option.

The answer is (3,6) x=3 y=6

Answer:

x = 3 / y = 6

Step-by-step explanation:

5x - 2y = 3

-5x + 4y = 9

-----------------   (combine the equations)

2y = 12

isolate the variable

y = 6

next, use one of the original equations and substitute in for y to solve for x

5x - 2(6) = 3

multiply

5x - 12 = 3

isolate the variable

5x = 15

divide each side by 5

x = 3

Answer:

Its a 25% chance you choose the correct answer

Also 1/4 odds

1/4 (or 25%)

There are four possible outcomes, so the denominator of the fraction is 4.

There is only one correct answer, so the numerator of the fraction is 1.

This means the probability is 1/4, or 25%.

Answer:

[tex]7.4\ years[/tex]  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=?\ years\\ P=\$9,000\\ r=0.06\\n=12\\ A=\$14,000[/tex]  

substitute in the formula above  

[tex]14,000=9,000(1+\frac{0.06}{12})^{12t}[/tex]  

[tex](14/9)=(1.005)^{12t}[/tex]  

Apply log both sides

[tex]log(14/9)=(12t)log(1.005)[/tex]  

[tex]t=log(14/9)/[(12)log(1.005)][/tex]  

[tex]t=7.4\ years[/tex]  

Answer:

A and D

Step-by-step explanation:

Since a (1/3) is less than 1, it is vertically compressed. The -7 is outside of the parenthesis so it is shifting down.

Answer:

options A and D are the correct options.

Step-by-step explanation:

The parent exponential function is f(x) = 2ˣ

Now this function undergoes two transformations to form g(x) = [tex]\frac{1}{3}(2^{x})-7[/tex]

When parent function f(x) = 2ˣ  is multiplied by [tex]\frac{1}{3}[/tex], this means f(x) has been compressed vertically because [tex]\frac{1}{3}[/tex] < 1.

Now we subtract 7 from the new function [tex]\frac{1}{3}[/tex] [tex](2^{x})[/tex], that means we are shifting this function 7 units downwards on y-axis.

Therefore, options A and D are the correct options.

No. Because she only asked the people who was walking to school

Answer:there is not answer we need more info

Step-by-step explanation:

Answer:

2/3 is the slope and

-1 is the y intercept

Step-by-step explanation:

y = 2/3 x -1

This is in the form y = mx+b where m is the slope and b is the y intercept

2/3 is the slope and

-1 is the y intercept

Answer:

2/3 slope, -1 y intercept.

Step-by-step explanation:

Equations in y=mx+b forms follow these rule- y is the dependent variable, and x is the independent variable; m is the slope and b is the y intercept.

This means that the m, or slope is 2/3, and the y intercept is -1.

The area of a trapezoid is [tex]\frac{a+b}{2} h[/tex] so substitute the values.

[tex]\frac{14 + 28}{2} 10[/tex] → [tex]\frac{42}{2} 10[/tex] → 21 * 10 → 210mm²

Hope this helps!!

The area of the following trapezoid is 210mm².

The area of a trapezoid can be calculated if the length of its parallel sides and the perpendicular distance (height) between them is given. The formula for the area of a trapezoid is expressed as,

Area = {(a + b) × h} / 2

Where a and b are the parallel sides and h is the height in the figure below.

In the given question we have, a = 14 mm , b = 28 mm and h = 10 mm.

So, by using the formula for finding the area of a trapezoid,

Area = {(14 + 28) × 10} / 2

        = {42 × 10 } / 2

        = 420 / 2

        = 210

The unit of the area is mm².

Therefore, the area of the following trapezoid is 210 mm².

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Answer:

414

Step-by-step explanation:

12 times 7, 12 times 15, 7 times 15

Answer:

[tex]\frac{1}{10000}[/tex]

Step-by-step explanation:

In probability, "AND" means Multiplication

"OR" means addition

There are 100 numbers from 1 to 100. Probability of picking 49 is 1/100 (since we want 1 specific number form 100 numbers).

Question is asking Probability that Phillip selects 49 AND ALSO Shelly select 49. since there is "AND", we just multiply both the probabilities of Phillip and Shelly.

[tex]\frac{1}{100}*\frac{1}{100}=\frac{1}{10000}[/tex]

ANSWER

129

EXPLANATION

The given expression is:

[tex]4^2×2^3- (14-16)÷2[/tex]

Deal with the parenthesis first.

[tex]4^2×2^3- ( - 2)÷2[/tex]

[tex]4^2×2^3 + 2÷2[/tex]

Deal with exponents,

[tex]16×8+ 2÷2[/tex]

Divide now

[tex]16×8 + 1[/tex]

Multiply

[tex]128 + 1 [/tex]

You can now add to get

[tex]129[/tex]

The order of operations is PEDMAS

Answer:

240

Step-by-step explanation:

V=width height  length  = 10 · 3 · 8 = 240

Hope this helped, have a wonderful day man!

The answer is 240cm^3

Answer:

The two regular cans of soup has a greater volume than the family size can of soup

Step-by-step explanation:

step 1

Find the volume of two regular cans of soup, each with a diameter of 8 cm and a height of 10 cm

The volume is equal to

[tex]V=2[\pi r^{2} h][/tex]

we have

[tex]r=8/2=4\ cm[/tex] ----> the radius is half the diameter

[tex]h=10\ cm[/tex]

substitute

[tex]V=2[\pi (4)^{2} (10)][/tex]

[tex]V=320\pi\ cm^{3}[/tex]

step 2

Find the volume of one family can of soup, with a diameter of 10 cm and a height of 12 cm

The volume is equal to

[tex]V=\pi r^{2} h[/tex]

we have

[tex]r=10/2=5\ cm[/tex] ----> the radius is half the diameter

[tex]h=12\ cm[/tex]

substitute

[tex]V=\pi (5)^{2} (12)[/tex]

[tex]V=300\pi\ cm^{3}[/tex]

therefore

Compare the volumes

[tex]320\pi\ cm^{3} > 300\pi\ cm^{3}[/tex]

The two regular cans of soup has a greater volume than the family size can of soup

Answer:

A

Step-by-step explanation:

Madison's expression equals 8z and so does the answer.

Answer:

Answer: A

Step-by-step explanation:

This is an example of the associative property of multiplication. The general way it is written is (a*b)*c = a*(b*c) It means that the order of multiplication does not matter.

The one that looks like that for your question is

(z*2)(4) = z * (2 * 4)

Both give an answer of 8z

A

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

So it seems you were able to eliminate a and c. Good job. :)

y= x/2  is the same as y= 1/2 * x + 0 (this is now in the form y= mx +b.)

y= x+ 2 is already in (y=mx+b) form, with m being 1.

now what you can do is look at the individual parts of these equations.

the b is the y intercept. So when x is 0, y is b. in the y= 1/2 x + 0 equation, we know when x= 0, y= 0.

for the y=x + 2, we know that when x= 0, y= 2. Since this is not a point on the line shown, we know that it is not correct. Therefore, your answer would be y= 1/2 x, or y= x/2.

You could also find this using slope, but the y- intercept (b) was simpler to explain and find. :)

Answer:

B  II

Step-by-step explanation:

Answer:quad 1

Step-by-step explanation:

-90 is clockwise and 90 is counter like whatttttttt

Answer:

0 and -4

Step-by-step explanation:

We have been given the following functions;

f(x) = 1/x

g(x) = x^2 + 4x

The first step would be to evaluate the composite function fºg.

fºg = f[g(x)]. We substitute g(x) in place of x in f(x)

fºg = [tex]\frac{1}{g(x)}=\frac{1}{x^{2}+4x}[/tex]

This is clearly a rational function which will be defined everywhere except where the expression in the denominator will be equal to 0.

We solve for x;

[tex]x^{2}+4x=0\\\\x(x+4)=0\\x=0\\x=-4[/tex]

Therefore, the two numbers that are not in the domain of fºg are 0 and -4

For this case we have the following equations:

[tex]f (x) = \frac {1} {x}\\g (x) = x ^ 2 + 4x[/tex]

We must find (f_ {o} g) (x):

By definition of composition of functions we have to:

[tex](f_ {o} g) (x) = f (g (x))[/tex]

So:

[tex](f_ {o} g) (x) = \frac {1} {x ^ 2 + 4x}[/tex]

We must find the domain of [tex]f (g (x)).[/tex] The domain will be given by the values for which the function is defined, that is, when the denominator is nonzero.

[tex]x ^ 2 + 4x = 0\\x (x + 4) = 0[/tex]

So, the roots are:

[tex]x_ {1} = 0\\x_ {2} = - 4[/tex]

The domain is given by all real numbers except 0 and -4

Answer:

x other than 0 and -4

(–1,4)

Shapes are congruent if you can turn one into the other by moving, rotating or flipping. We can use this symbol [tex]\cong[/tex] to show that two things are congruent. Two triangles are congruent if and only if all the corresponding legs are congruent. The only point that makes the corresponding legs to be congruent is [tex](-1,4)[/tex]. Why? because we can match these two triangles by flipping the red one two times and moving it into the blue one.

Answer:

(–1,4)

Step-by-step explanation:

Answer:

The 3rd problem on mondays answer is 2:1

The 4th problem on monday answer is it is not long enough he needs to make it 4 inches longer.

The 5th problem on monday is 41

The 6th problem on monday is 13,12,11

Can't read the whole problem for the 7th question on monday

the 8th problem on monday is 55 and 8/15

That is the answers for monday hope this helps

Step-by-step explanation: