Solve for the value of x and y

Answer:

200cm³

Step-by-step explanation:

Volume=[tex]\frac{LXBXH}{3}[/tex]

so 10×10×6=600

600÷3=200

Answer:

θ = π/3 and 5π/3

Step-by-step explanation:

x = r cos θ and y = r sin θ.  Therefore:

dy/dx = (dy/dθ) / (dx/dθ)

dy/dx = (r cos θ + r' sin θ) / (-r sin θ + r' cos θ)

In this case, r = 1 + cos θ and r' = -sin θ.

dy/dx = ((1 + cos θ) cos θ + (-sin θ) sin θ) / (-(1 + cos θ) sin θ + (-sin θ) cos θ)

dy/dx = (cos θ + cos²θ − sin²θ) / (-sin θ − sin θ cos θ − sin θ cos θ)

dy/dx = (cos θ + cos²θ − (1 − cos²θ)) / (-sin θ (1 + 2 cos θ))

dy/dx = (cos θ + 2 cos²θ − 1) / (-sin θ (1 + 2 cos θ))

The tangent line is horizontal when the numerator of dy/dx is 0 and the denominator of dy/dx is not 0.

0 = 2 cos²θ + cos θ − 1

0 = (cos θ + 1) (2 cos θ − 1)

cos θ = -1 or 1/2

θ = π/3, π, 5π/3

0 = -sin θ (1 + 2 cos θ)

sin θ = 0 or cos θ = -1/2

θ = 0, 2π/3, π, 4π/3

Therefore, the answer is θ = π/3 and 5π/3.

Answer:

x = -45

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Multiply 5 to both sides:

(x/5) * 5 = (-9) * 5

x = -9 * 5

x = -45

x = -45 is your answer.

~

Steps to solve:

x/5 = -9

~Multiply 5 to both sides

x/5 * 5 = -9 * 5

~Simplify

x = -45

Best of Luck!

Answer: (2,4) They bought 2 sodas and 4 coffees.

Step-by-step explanation:

A. c + s=6  where c is the number of coffee and s is the number of sodas

B. 1.50c + 1.20s =8.40

C. -1.50 (c    +  s) =6(-1.50)   we will multiply the first equation by -1.50 to eliminate the c

 New equation;  -1.50 - 1.50s = -9         -0.3s/-0.3=-0.6/-0.3  s=2  

                            -150 +  1.20s = 8.40          

So we know they bought 2 sodas.   so we will plot 2 into the equation.

1.50c  + 1.20(2)=8.40   c= 4  

Answer:

0.9%

Step-by-step explanation:

To find the percentage increase, you can use the following formula:

Percentage change= ((Final price-Initial price)/Initial price)*100

Initial price= $9.53

Final price= $9.62

Variation= ((9.62-9.53)/9.53)*100

Variation= 0.9%

According to this, the percentage increase is 0.9%.

Answer:

Integer; - 12

Step-by-step explanation:

If we are considering a situation were there is a drop in temperature, this integer representation would contain a negative;

At the same time the temperature drops by 12 degrees ( ° ) such that this integer is;

Answer; - 12

Answer:

Step-by-step explanation:

Answer:

A= 185.12 ft²

C=  12.56 ft

Step-by-step explanation:

Area of rectangle is 160 ft²

Area of semi-circle is 25.12 ft²

3.14*4*4=3.14*16=50.24

50.24/2=25.12

160+100.48=260.48 ft² ≈260.5 ft²

3.14*4=12.56

Answer:

185.136

Step-by-step explanation:

20×8=160ft²

3.142×4²= 50.272

50.272÷2=25.136

160+25.146= 185.136

Answer:

Step-by-step explanation:

Circumference pf base of cone = 24 inches

2πr = 24

[tex]r=\frac{24}{2\pi}\\\\r=\frac{12}{\pi}[/tex]

Lateral surface area = πrl

[tex]=\pi *\frac{12}{\pi }*20\\\\=12*20\\[/tex]

= 240 square inches

Answer:

240 square inches

Step-by-step explanation:

Answer: x=4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

6x+2=26

Subtract 2 from both sides to isolate the variable

6x=24

Divide by 6

x=4

Answer:

Step-by-step explanation:

There must be an attachment. I have no knowledge of what to solve for, unless you can tell or show me the missing pieces.

Answer: 1, 3 , 5, and 6

I took the test have a great day!

Answer:

Her account balance at the end of 2 years is $257.5.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

[tex]T = E + P[/tex]

In this question:

Deposit of $250, so [tex]P = 250[/tex]

Interest rate of 1.5%, so [tex]I = 0.015[/tex]

2 years, so [tex]t = 2[/tex]

Amount of interest earned:

[tex]E = P*I*t = 250*0.015*2 = 7.5[/tex]

Total amount:

[tex]T = E + P = 7.5 + 250 = 257.5[/tex]

Her account balance at the end of 2 years is $257.5.

Answer:

In about 9 months the population of the towns will be equal.

Step-by-step explanation:

The population of both cities, after t months, can be modeled by linear functions.

Town A:

Population of 53330.

About 75 people move out of the town each month. Each​ month, 175 people on average move into town.

So, after t months, the population will be:

[tex]A(t) = 53300 + (175 - 75)t[/tex]

[tex]A(t) = 53300 + 100t[/tex]

Town B:

Population of 55,825.

An average of 175 people moving away every month.

So, after t months, the population will be:

[tex]B(t) = 55825 - 175t[/tex]

In about how many months will the populations of the towns be​ equal?

This is t for which:

[tex]A(t) = B(t)[/tex]

[tex]53300 + 100t = 55825 - 175t[/tex]

[tex]275t = 2525[/tex]

[tex]t = \frac{2525}{275}[/tex]

[tex]t = 9.18[/tex]

Rounding to the nearest number

In about 9 months the population of the towns will be equal.

Answer:

x=6   x=3

Step-by-step explanation:

x^2-9x+18=0

Factor

What 2 numbers multiply to 18 and add to -9

-6*-3 = 18

-6-3 = -9

(x-6) (x-3) =0

Using the zero product property

x-6 =0  x-3 =0

x=6   x=3

Answer: Erin needs to babysit for 20 hours in order for her to meet her goal.

Step-by-step explanation:

7.50h < 150  divide each side of the equation by 7.50

h=20

Answer:

61 degrees is the missing angle measure

Step-by-step explanation:

[tex]cos^{-1} (\frac{15}{31})[/tex]     Use this equation to find the missing angle

61 degrees is the missing angle measure

If this asnwer is correct, please make me Brainliest!

Answer:

{H 1 , H 2, H 3 , H 4, T 1, T 2, T 3, T 4}=8

Step-by-step explanation:

Answer:

H 1 , H 2, H 3 , H 4, T 1, T 2, T 3, T 4 I think

Step-by-step explanation:

Answer:

2 and 5

Step-by-step explanation:

hope this helps :)

Answer:

x = 26.45

Step-by-step explanation:

Cos theta = adjacent side / hypotenuse

cos 50 = 17 /x

Switch the x and the cos 50

x = 17 / cos 50

x =26.44730506

Rounding to 2 decimal places

x = 26.45

2/13+2/13+2/13

= 6/13

Step-by-step explanation:

The probability that she chooses an outfit consisting of the flat heel or spike heel shoes, the twill or the denim pants, and the white or black shirt is given by P ( A ) = 22.22 %

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Jackie has a choice of 3 pairs of shoes, 3 pants, and 4 shirts that can make an outfit for today.

Each pair of shoes has a different heel height, each pair of pants is made from a different fabric, and each shirt is a different color.

So , There are a total of 3 x 3 x 4 = 36 possible outfits.

The number of outfits with the specified choices is:

2 (choices of shoes) x 2 (choices of pants) x 2 (choices of shirts) = 8

Therefore, the probability that Jackie chooses an outfit consisting of the specified choices is:

8 / 36 = 2 / 9 ≈ 0.2222 or about 22.22%

Hence , the probability is P ( A ) = 22.22 %

To learn more about probability click :

https://brainly.com/question/17089724

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Answer:

The sum of all the angles of any triangle is 180°

So, 180 - (53 + 48) = 180 - 101 = 79

<SRT = 79°

Answer:

B

Step-by-step explanation:

i took the unit test <3

Answer: C (-2,1)

Step-by-step explanation:

Answer: The median will provide a better description of the center because the median is the middle number.

Step-by-step explanation:

Hello!

[tex]\boxed{ \bf w~=~4}[/tex]

________________________________________________

7(w + 9) = 91

First, we must multiply everything in the brackets by 7.

= 7(w) + 7(9) = 91

= 7w + 63 = 91

Now, we must solve for w. To do this, we will need to isolate it by perfoming the opposite operation on 63. Since it is +63, we'll need to subtract it from both sides of the equation.

= 7w + 63 = 91

         - 63   - 63

7w = 28

Since w is being multiplied, we'll have to perform the opposite operation (which is division).

[tex]\frac{7w}{7} = \frac{28}{7}[/tex]

w = 4

The right answer is 4.

look at the attached picture

Hope it will be helpful to you..

Answer:

C

Step-by-step explanation:

Answer:

The answer is 4.94 (C (If this is wrong I am sorry but I'm pretty sure it is right)

Answer:

1. 48 + 86 + + Q = 180

2. 46 degrees

3. They are congruent

Step-by-step explanation:

I just got them right on edg

Angle sum property (In ΔPQR, ∠P + ∠Q + ∠R = 180°) can be used to determine the measure of angle Q.

Using angle sum property, ∠Y = 46°.

It can be concluded that ∠Y = ∠Q.

The angle sum property of a triangle states that the sum of the angles of a triangle is equal to 180º.

In ΔPQR,

∠P + ∠Q + ∠R = 180° (angle sum property)

86 + ∠Q + 48 = 180

∠Q = 180 - 86 - 48 = 46°

In ΔXYZ,

∠X + ∠Y + ∠Z = 180° (angle sum property)

86 + ∠Y + 48 = 180

∠Y = 180 - 86 - 48 = 46°

As visible, ∠Q = ∠Y.

Learn more about angle sum property here

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Answer:

72

Step-by-step explanation:

Let m be the age in years. If s is the son's age in years, then the son is 52x weeks old. If g is the grandson's age in years, then the will be grandson 365m days old. So....  the labels are for the equation.

365m = 52x.

Since the grandson is 12w months old,

12w = months.

Since the grandson,  son and the person together are 120 years,

m + x + months = 120.

these are the labels (m, x, and month)

month = 624 x 120 / 1041 = 72.

So, I am basically 72 years old.

hope this helped :D

this is truly very hard.

Answer:

72

Step-by-step explanation:

Answer:

1= 8

3= 12

5= 16

7= 20

9= 24

Step-by-step explanation:

1+3=4x2=8

3+3=6x2=12

5+3=8x2=16

9+3=12x2=24

ANSWER:1=8

3=12

5=16

7=20

9=24

step -by - step explanation: 1+3=4×2=8

3+3=6×2=12

5+3=8×2=16

9+3=12×2=24