Find the area of this figure

Answer:

x = 14.14 and y = 10

Step-by-step explanation:

Using trigonometric ratios;

10/x = cos 45

x = 10/(cos 45)

x = 14.14

y/10 = tan 45

y = 10 * tan 45

y = 10

Answer:

16 nickels

Step-by-step explanation:

Let "n" be the number of nickels

Let "q" be the number of quarters

We know that,

1 nickel = $ 0.05 or 5 cent

1 quarter = $ 0.25 or 25 cent

Anna has a collection of 45 nickels and quarters

Therefore,

n + q = 45

q = 45 - n --------- eqn 1

Anna has a collection of 45 nickels and quarters worth $8.05

$ 8.05 is worth 805 cents

Thus we frame a equation as:

number of nickels x 5 cents + number of quarters x 25 cents = 805

5n + 25q = 805 ----- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

5n + 25(45 - n) = 805

5n + 1125 - 25n = 805

20n = 1125 - 805

20n = 320

n = 16

Then there are 16 Nickels

Answer:

a and -b is the answer

Step-by-step explanation:

(x-a)(x+b) = 0

x-a = 0 and x+b = 0

then

x = a and x = -b

Answer:

D

Step-by-step explanation:

[tex]\frac{x+2}{3}[/tex] = [tex]\frac{2x-4}{2}[/tex] ( cross- multiply )

3(2x - 4) = 2(x + 2) ← distribute parenthesis on both sides

6x - 12 = 2x + 4 ( subtract 2x from both sides )

4x - 12 = 4 ( add 12 to both sides )

4x = 16 ( divide both sides by 4 )

x = 4

[tex] \longrightarrow \frac{x + 2}{3} = \frac{2x - 4}{2} [/tex]

In this question we have to find the value of x .

[tex]\longrightarrow \frac{x + 2}{3} = \frac{2x - 4}{2} [/tex]

So , by cross multiplying :

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

Now , calculation left hand side as well as right hand side :

[tex]\longrightarrow \: 2x + 4 = 6x - 12[/tex]

Now , transposing 6x to left hand side and 4 to right hand side :

[tex]\longrightarrow \: 2x - 6x = - 12 - 4[/tex]

Now , solving left hand side and right hand side :

[tex]\longrightarrow \: - 4x = - 16[/tex]

As negative sign is present on both the side , so it will cancel out :

[tex]\longrightarrow \: \cancel - 4x = \cancel- 16[/tex]

Now we have :

[tex]\longrightarrow \: 4x = 16[/tex]

Now we are transposing 4 to right side and it will change into division from multiplication :

[tex]\longrightarrow \: x = \cancel \frac{16}{4} [/tex]

So we get :

[tex]\longrightarrow \: \green{ \boxed{ \bold x = 4}}[/tex]

We are verifying our answer by putting value of x in given question :

[tex]\longrightarrow \frac{4 + 2}{3} = \frac{2(4) - 4}{2} \: [/tex]

Solving ,

[tex]\longrightarrow \: \frac{6}{3} = \frac{8 - 4}{2} [/tex]

Now subtracting 8 and 4 :

[tex]\longrightarrow \: \frac{6}{3} = \frac{4}{2} [/tex]

Now , dividing 6 by 3 and 4 by 2 :

[tex]\longrightarrow \cancel{\frac{6}{3} } = \cancel{\frac{4}{2} }[/tex]

We get :

[tex]\longrightarrow \: \bold{2 = 2}[/tex]

That means ,

[tex]\longrightarrow L.H.S = R.H.S[/tex]

The comparison of the number of stuffed animals in both years is an illustration of inequalities

The statement that compares the number of stuffed animals is 189909 < 198909

The given parameters are:

By comparing the number of stuffed animals in both years, we have:

198909 > 189909 or 189909 < 198909

Hence, the statement that compares the number of stuffed animals is 189909 < 198909

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Answer:

  1/3

Step-by-step explanation:

Your choice of answer must be consistent with the instructions.

The only answer with no exponent is the correct one:

  1/3

__

The rules of exponents tell you ...

  (a^b)(a^c) = a^(b+c)

  3^(-4) × 3^3 = 3^(-4+3) = 3^-1

and

  a^-b = 1/a^b

so

  3^-1 = 1/3^1 = 1/3 . . . . written without an exponent

Answer:

fg(x) = 32x²+44x+16

Step-by-step explanation:

fg(x) = f[g(x)]

= f(4x+3)

= 2(4x+3)²-(4x+3)+1

= 2(4x+3)²-(4x+3)+1

= 2(16x²+24x+9)-4x-3+1

= 32x²+44x+16

Answer:

4,368 / 42

Step-by-step explanation:

I can tell without answering the problems because if you have a larger amount to divide by, it would lead to people having a higher amount. Meanwhile having a smaller amount to divide by.

The function [tex]y=0.3^x[/tex] represents exponential growth with the initial value equal to 1, the decay factor equal to 0.3, and the rate equal to 0.7.

The formula for the Population Growth Equation is:

[tex]P_f=P_o*(1+\frac{R}{100}) ^t[/tex]

Pf= future population

Po=initial population

r=growth rate

t= time (years)

growth or decay factor =  (1 ±r)

When 1+R  > 1, the equation represents growth, while 1+R < 1 the equation represents decay.

The question gives:

[tex]y=0.3^x[/tex], then

Pf=y

Po= 1  

[tex](1+\frac{R}{100}) =0.3[/tex] , thus

[tex](100+R}) =30\\ \\ R=-100+30\\ \\ R=-70[/tex]

r= -70%= -0.7

decay factor= (1-0.7)=0.3

Therefore,

1+R will be = 1+(-0.7)=1 - 0.7 =0.3

When 1+R >1, the function represents exponential growth.

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Answer:

I don't know if this is all the way right but I hope it is.

Step-by-step explanation:

Step 1.

Put the data in order to find the median.

Median = 72

Find the Lower Quartile and the Upper Quartile. These are the medians of the lower and upper halves.

Lower Quartile = 66

Upper Quartile = 79

Next put those points on your number line and mark your smallest and

greatest values, the median, and the Quartiles.

Answer:

168

Step-by-step explanation:

LxWxH

L=6

W=4

H=7

6x4=24

24x7=168

Answer:

63,168 square inches

Step-by-step explanation:

A=2(wl+hl+hw)

A= 2{(4*6)+(7*6)+(7*4)}

A= 188

188 square inches for each candle

188 square inches times 336 candles= 63,168 square inches in total.

Hope this helped <3 Brainliest? :)

Answer:

$0.01 or 1 cent.

Step-by-step explanation:

Case: 12 quarts = $4.08

1 quart for case= $0.34

A quart normal= $0.35

0.35-0.34=$0.01

Answer:

Your answer is k< -6

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Since we know 8 = 1/4

We can convert the 1/4 into a percentage:

8 = 25%

To get to 100% which is the full club we have to multiply both sides by 4:

8×4 = 25% ×4

32 = 100%

So there are 32 people in the club.

Answer:

The three sides 9 in, 12 in, and 15 in do represent a right triangle. Since the square of the hypotenuse is equal to the sum of the squares of the other two sides, this is a right triangle.

Step-by-step explanation:

15² = 9² + 12²

225 = 81 + 144

225 = 225

so it is an right angled triangle....

( using : if the sum of the squares of the smaller two sides is equal to the square of the largest side, then the traingle is a right triangle.)

Answer:

poly Gon have [tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex]

Answer:

8995{c-(-12)4} valva a 2 b 5 c -7

1&5<y x=(2,0)

The given relation obeys reflexive, symmetric, and transitive properties, therefore, it is in relation to equivalence relation.

Let the domain of the relation is car(x) belongs to 2015 , 2016, 2017, 2018, 2019, 2020

To prove equivalence relation, we need to prove reflexive, symmetric, transitive properties.

Reflexive relation: x is related to x

Here car(x) is made in 2015, so, car(x)) is in R where R is reflexive relation.

Symmetric relation: x is related to y implies y is related to x

Here (car(x) , car(y)) is in R , i.e car(x) and car(y) are made in same year. R obeys symmetric property

Transitive property: x is related to y and y is related to z then x is related to z. Here (car(x),car(y)), (car(y), car(z)) is in R. Therefore (car(x) , car(z)) is in R

Therefore, the given relation obeys reflexive, symmetric, and transitive properties, therefore, it is in relation to equivalence relation.

B. The cars which are made in the same year are in one equivalence class all cars are made in overall 6 years. We get 6 equivalence classes. These classes are partitions, so we have six partitions

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Answer:

16 months

Step-by-step explanation:

Hey there!

This would be the correct answer because first you need to subtract the amount she paid from the amount she owes.

[tex]4500-2740[/tex]

[tex]=1760[/tex]

After that divide that answer from 110

This is because she will be paying 110 each month

[tex]1760/110[/tex]

Once you calculate that you will get 16.

Answer: 196 degrees

Step-by-step explanation:

Answer:

x = 24.0

Step-by-step explanation:

We will need to use one of the trigonometric ratios to find x.  

If we use 58 as the reference angle, we can use tan to find x, as [tex]tan=\frac{opposite}{adjacent}[/tex]

[tex]tan (58)=\frac{x}{15}\\ 15*tan(58)=x\\x=24.005\\x=24.0[/tex]

Answer:

For the table I got 18 for the 5, 36 for the ten and not sure on the last one for the table and for the last one I got approx 5 mins but I’m not too sure

Step-by-step explanation:

Answer:

A.

5 mins = $5.20

10 = $7.20

M - i can't calculate that without having more info but the equation would be (M × 0.40) + 3.20 = Total amount in dollars.

B. 42 minutes

Step-by-step explanation:

Use the equation I listed before for A.

For B. 20.00 - 3.20 = 16.80. 16.80/0.40 = 42.

you should give me brainliest if im right

[tex]\text{Given that, f(x) = 2x+5}\\\\f(-1) = 2(-1)+5 = -2+5= 3\\\\f(2) = 2(2)+5 = 4+5 = 9\\\\f(0) =2(0)+5 = 0+5=5\\\\f(z) = 2z+5[/tex]

Answer:

F(t) = 5t

Step-by-step explanation:

velocity = distance/time

distance = velocity × time

v - velocity

t - time

d - distance

v = 5

Distance as a function of time:

F(t) = 5×t

where F(t) represents distance

A boy hikes a distance of d km in t hours. The formula describes d as a function of t, F(t) = 5t.

velocity = distance/time

v - velocity

t - time

d - distance

v = 5

distance = velocity × time

Distance as a function of time

Therefore, F(t) = 5×t

Where F(t) represents the distance.

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Answer:

They are similar because triangle AMY has sides double the size of CED. If you divide AMY's triangle sides by 2, you will have a triangle that is the exact size of CED. :)

Have an amazing day!!

Please rate and mark brainliest!!!

Answer:

The triangles are similar

Step-by-step explanation:

To tell whether the triangles are similar or not we can compare their side lengths

if the triangle are similar then their side lengths' will be proportional:

MY/CD = AY/ED

10/5 = 8/4 cross multiply expressions

40 = 40 as we can see from this result, the side lengths are proportional so we can say these triangles are similar

Answer:

Area= MULTIPLICATION

So, 13x9x4x15x10=70200

70200 Square inches.

There are two rectangles in the idiosyncratic shape. In order to find the area of the figure, we need to solve for one rectangle first.

The formula for solving the area of a rectangle is [tex]A = lw[/tex]. For the smaller rectangle on the left, we have both the length and width, so we can just multiply after plugging in the numbers into the equation; [tex]A = 13 * 4[/tex]. The 13 represents the length and the 4 represents the width. After solving, we get 52 inches squared for the first rectangle.

The larger rectangle, we already have the length and width as well, so we can just plug the numbers into the formula, [tex]A = 15 *10[/tex], as 15 represents the length and the 10 represents width. 15 × 10 = 150.

After doing this, we need to add up the two rectangles together, which we get a sum of 202. The total area of the figure is 202 inches squared.

Answer:

a) 1/8

b) 8

Step-by-step explanation:

a) 1/2 x 1/2 x 1/2 = 1/8

b) since the exponent is negative it becomes positive when placed in the denominator

so 1/2 ^-1 is equal to 1/1 ÷ 1/2 which is equal to 2

therefore, (1/2)^-3 is equal to 2 x 2 x 2 or 8

The volume of an oblique cone has a radius of 4 units, a height of 8.5 units is 142.4 cubic inches

The formula for calculating the volume of an oblique cone is expressed as:

V = (1/3) * π * r² * h.

where

r is the radius

h is the height

Given the following parameters

r = 4 units

h = 8.5 units

Substitute

V = (1/3) * 3.14 * 4² * 8.5.

V = 142.4 cubic inches

Hence the volume of an oblique cone has a radius of 4 units, a height of 8.5 units is 142.4 cubic inches

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Answer: 142.4

Step-by-step explanation:

Answer:

Answer = B.19.25

Step-by-step explanation:

(4x-6)=71

4x=71+6

4x=77

x=77÷4

x=19.25