can you help me? ill send you the other picture.

Given

To find

We know that,

Let the third angle be ,'x'

then,

Hence,the third angle would measure 30°

If x + 1, x - 5, and x - 2 are in a geometric progression, then there is some constant r for which

x - 5 = r (x + 1)

==>   r = (x - 5) / (x + 1)

and

x - 2 = r (x - 5)

==>   r = (x - 2) / (x - 5)

Then

(x - 5) / (x + 1) = (x - 2) / (x - 5)

Solve for x :

(x - 5)² = (x - 2) (x + 1)

x ² - 10x + 25 = x ² - x - 2

-9x = -27

x = 3

It follows that the ratio between terms is

r = (3 - 5) / (3 + 1) = -2/4 = -1/2

Now, assuming x + 1 = 4 is the first term of the G.P., the n-th term a(n) is given by

a(n) = 4 (-1/2)ⁿ⁻¹

The sum of the first 12 terms - denoted here by S - is then

S = 4 (-1/2)⁰ + 4 (-1/2)¹ + 4 (-1/2)² + … + 4 (-1/2)¹¹

Solve for S :

S = 4 [(-1/2)⁰ + (-1/2)¹ + (-1/2)² + … + (-1/2)¹¹]

(-1/2) S = 4 [(-1/2)¹ + (-1/2)² + (-1/2)³ + … + (-1/2)¹²]

==>   S - (-1/2) S = 4 [(-1/2)⁰ - (-1/2)¹²]

==>   3/2 S = 4 (1 - 1/4096)

==>   S = 8/3 (1 - 1/4096)

==>   S = 1365/512

Answer:

12 because imagine 40 / 3  ok?   now what makes 160 40 x 4    so you do that for the button 4 x 3 please put heart

answer/explanation:

hope this helps

Step-by-step explanation:

23 22 tis wil be the answer hope it helps you

Answer:

  1/5

Step-by-step explanation:

When the dilation is centered at the origin, the dilation factor is applied to each pre-image coordinate to get the image coordinate.

  k(10, -15) = (2, -3)

  k = 2/10 = -3/-15 = 1/5

The scale factor of the dilation is 1/5.

From the figure given we can find the coordinate of E:

And we want to apply the following transformation:

So then we need to do the following in order to find the coordinate of E'

So the answer for htis case would be:

Answer:

x=

−32/9y +14/9

Step-by-step explanation:

Answer:

6.28

Step-by-step explanation:

\((3.14)(1.5) {}^{2} = 7.065 \)

\((3.14)(0.5) {}^{2} = 0.785\)

\(7.065 - 0.785 = 6.28\)

Answer:

amount of the drug becomes approximately equal to 0.2 milligrams after 13.04 hours

Step-by-step explanation:

Given: The function \(f(t)=10e^{-0.3 t}\) represents number of milligrams of a drug in a person’s body after t hours

To find: time after which amount of the drug becomes approximately 0.2 milligrams

Solution:

\(f(t)=10e^{-0.3 t}\\0.2=10e^{-0.3 t}\\\frac{0.2}{10}=e^{-0.3 t}\\\frac{2}{100}=e^{-0.3 t}\\\frac{1}{50}=e^{-0.3 t}\\\)

As \(e^x=y\Rightarrow x=\ln y\) ,

\(50=e^{0.3 t}\\0.3t=\ln 50\\t=\frac{\ln 50}{0.3}=13.04\,\,hours\)

So, amount of the drug becomes approximately equal to 0.2 milligrams after 13.04 hours

Answer:

13 hours

Step-by-step explanation:

right on edmentum

Answer:

t and u are supplementary as opposite angles of a cyclic quadrilateral.

t = 180 - (81 + 53) = 46

u = 180 - t = 180 - 46 = 134

v and w are equal as opposite angles to equal sides.

v = w = 1/2(180 - u) = 1/2(180 - 134) = 23

Step-by-step explanation:

Answer:

38° because the other two are cm? also you haven't linked a photo so I can't work out angle A

The solution to the quadratic equation is x = -4 ± 2√11. Option D

Using the quadratic formula, we have;

x = -b ± \(\sqrt{\frac{b^2 - 4ac}{2a }\)

From the information given, we have that;

ax + bx + c = 0

Then,

-8x²+16=11

In standard formula

-8x²+16 - 11 = 0

Substitute the values

x = -(16) ± \(\sqrt[2]{\frac{-(16) + 4 * -8 *-11}{2*-8} }\)

Multiply the values, we get;

x = -16± \(\sqrt{\frac{-16 + 352}{-16} }\)

Add the values

x = -16  ± √336/-16

x = -4 ± √84/4

x = -4± √21

x = -4 ± 2√11

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Answer:

Simplifying 9m + -3 + -7m = 0

Reorder the terms: -3 + 9m + -7m = 0

Combine like terms: 9m + -7m = 2m -3 + 2m = 0 Solving -3 + 2m = 0

Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right.

Add '3' to each side of the equation. -3 + 3 + 2m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2m = 0 + 3 2m = 0 + 3 Combine like terms: 0 + 3 = 3 2m = 3

Divide each side by '2'. m = 1.5

Step-by-step explanation:

Hope this helps :)

The mathematical function describing the cost of car the next year is →

C{n + 1} = C{n} (1 - 3/20).

The depreciation rate is a rate at which the price of a quantity decreases every year.

Given is that the cost of a new car is $32,000 it depreciates at a rate of 15% per year.

We can understand it as follows.

After one year the cost would be -

{x} = 32000 - {15% of 32000}

{x} = 32000 - 4800

{x} = $27200

After second year the cost would be -

{x} = 27200 - {15% of 27200}

{x} = 27200 - 4080

{x} = $23120

This means that after every year, the value decrease by 15% of what it was a year before. We can write -

C{n + 1} = C{n} - (15/100) C{n}

C{n + 1} = C{n} (1 - 3/20)

Therefore, the mathematical function describing the cost of car the next year is →

C{n + 1} = C{n} (1 - 3/20).

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The total weight of Rice that Mark buys is given as follows:

2.5 pounds.

The total weight of Rice that Mark buys is obtained applying the proportions in the context of the problem.

The weight of each bag is given as follows:

5/8 pounds = 0.625 pounds.

The number of bags is given as follows:

4 bags.

Hence the total weight of Rice that Mark buys is given as follows:

4 x 0.625 = 2.5 pounds.

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Step-by-step explanation:

\( {x}^{2} = {7}^{2} + {7}^{2} \\ {x}^{2} = 98 \\ x = \sqrt{98} = 7 \sqrt{2} \)

Answer:

distance is 14.04

Step-by-step explanation:

the distance between 2 points is the Hypotenuse of the right angled triangle of the x and y coordinate differences.

we use Pythagoras

c² = a² + b²

c = the Hypotenuse (the side of the triangle opposite to the 90 degree angle).

the x difference

-8 - 6 = -14

the y difference

-2 - -1 = -1

c² = -14² + -1² = 196 + 1 = 197

c = sqrt(197) = 14.04

Answer:

Gallons originally in tank:175

How long to drain te tank:4.375

How many gallons of water in tank after drained for 4 hours:15

Answer: 40.27

Step-by-step explanation:

Let their September bill be x

Therefore, the October bill will be = x - 3.87.

Therefore, the addition of both bills will be:

x + (x - 3.87) = 237.75

x + x - 3.87 = 237.75

2x - 3.87 = 237.75

2x = 237.75 + 3.87

2x = 241.62

x = 241.62/2

x = 120.81

Therefore, September bill was 120.81

Since the 3 students share the bull equally, the amount owed by each will be:

= 120.81 / 3

= 40.27

Each person owes 40.27

Answer:

Function f is translated to the right 2 units, and then up 1 unit to obtain function g.

To see this, note that g(x) = (x+1)³ - 2 = (x-(-1))³ - 2. Comparing this to f(x) = (x-2)³, we see that replacing x with x+3 in f(x) gives g(x) = (x+3-2)³ = (x+1)³, so this transformation moves the graph of f(x) three units to the left. Then, adding the constant -2 to f(x) translates the graph down 2 units. Finally, adding the constant 2 to the result of the previous step translates the graph up 2 units, so the graph of g(x) is obtained by first translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:

Function f is translated to the right 2 units.

Function f is translated up 1 unit.

Function f is translated to the right 2 units, and then up 1 unit to obtain function g.

To see this, note that g(x) = √x - 2 + 1 = f(x-2) + 1. This means that the graph of g(x) is obtained by translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:

Function f is translated to the right 2 units.

Function f is translated up 1 unit.

Step-by-step explanation:

The difference in temperature is currently six degrees Celsius. Therefore, the appropriate reaction is six degrees Celsius.

When two independent temperature readings are subtracted, or when calculating the amount of temperature rise or fall, the result is a temperature difference, also referred to as a delta temperature (T).

Simply subtract the smaller amount from the larger one to determine the difference in temperature, in this case 19 degrees Celsius from 25 degrees Celsius. We now have a six-degree Celsius temperature difference as a result. Therefore, six degrees Celsius, is the appropriate response.

Due to the varied amounts of radiation the Earth receives from the Sun at various periods of the year, there are variations in climate all over the world. The equator receives more heat from the Sun than the north and south poles, where the angle of the Sun's beams is lower.

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Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

The percentage error in the density of metal will be 3.4%.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the density of the metal in the handbook is 4.018 g/mL and the measured value of the density is 4.16 g/mL.

The percentage error will be calculated as:-

Percentage = [ ( 4.16 - 4.018 ) / 4.16 ] x 100

Percentage = 0.034x 100

Percentage = 3.4%

Hence, the percentage error will be 3.4% for the densities.

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the Answer is C. 367 meters

Answer: 367 meters

Step-by-step explanation:

4 servings = 1/3 cups

| ×7.5 |×7.5

30 servings=7.5/3 cups

=2.5 cups

= 2 1/2c

Answer:

  y = 2x

Step-by-step explanation:

You want the simplified form of y = |x -5| +|x +5| if x > 5.

The graph of the whole function will have turning points where the absolute value expressions are 0:

  x -5 = 0   ⇒   x = 5

  x +5 = 0   ⇒   x = -5

For values of x > 5, we are concerned with that portion of the graph that is to the right of both of these turning points. Hence, both absolute value expressions are positive and unchanged by the absolute value bars.

  y = (x -5) +(x +5) . . . . . . if x > 5

  y = 2x . . . . . . . . . . . . . . collect terms

The simplified function is y = 2x.

__

Additional comment

The attached graph shows y=2x and the given function for x > 5. They are identical. (The y=2x graph is shown dotted, so you can see the red graph of the given function.)

Answer:

B. DE and FG

Step-by-step explanation:

HI does not go across the whole circle, so it is not a chord.

Answer:

161

Step-by-step explanation:

8*14+13*3+(5*4)/2

112+39+10 = 161

Answer:

161 \(m^2\)

Step-by-step explanation:

Divide the given figure up into smaller pieces, calculate the area of each of the smaller pieces and add up the area to find the total area of the figure. One can partition the figure into two rectangles with dimensions (14 by 8) and (13 by 3) respectively, and a (4 by 5) triangle.

The formula for the area of a rectangle is (base * height), substitute in the given values,

14 * 8 = 112

13 * 3 = 39

The formula for the area of a triangle is (\(\frac{(base)*(height)}{2}\)), substitute in the given values and solve,

\(\frac{(5)*(4)}{2}\) = 10

Now add up all the values to find the total area of the figure,

112 + 39 + 10 = 161