Find the measure of the indicated angle.
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We want to find the distance that Jill and her friend must walk, we will see that the distance is (1 + 1/6) miles

So the total distance of the travel is:

(3 + 1/2) miles.

2/3 of that distance are made in the car, then the other 1/3 is the distance that they must walk. A rough sketch of the situation is shown at the end.

Then we must solve:

(1/3)*(3 + 1/2) miles = ((1/3)*3 + (1/3)*(1/2)) miles

= (1 + 1/6) miles

So the distance that they must walk is (1 + 1/6) miles

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Answer:

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Answer:

i cant read that

Step-by-step explanation:

Answer:

look at the picture ..........

Answer:the answer is 5.4

Step-by-step explanation:

thats the answer because it says per means to multiply so i'd multipled 18x 30%

Answer:

i think that the correct answer is 7/12

Answer:

y-intercept =3

x-intercept =3/2

slope =-2

Step-by-step explanation:

y=-2x+3

0=-2x+3

2x=3

x=3/2

Answer:

top: 21 < x < 33

bottom: 3 < x ≤ 8

Step-by-step explanation:

Answer:

1= 70

2=110

3=46

4= 102

5= 37

Step-by-step explanation:

Answer:

If Sanjay wants to make 24 but the recipe makes 8, then do the recipe 3 times to get 24 (8 x 3 = 24)

135 x 3 = 405

1 x 3 = 3

2 x 3 = 6

130 x 3 = 390

1 x 3 = 3

2 x 3 = 6

So Sanjay would need the following to make 24 pancakes:

405g flour

3tsp baking powder

6tbsps sugar

390mL milk

3 eggs

6tbsps oil

Answer:

405 g flour

3 tsb baking soda

6 tbsps sugar

390 mL milk

3 eggs

6 tablespoons oil

Answer:

look at the picture .................

Answer:

8 and 2

Step-by-step explanation:

If you add them together you get 10. (8 + 2 = 10)

If you multiply them you get 16. (8 x 2 = 16)

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The absolute value function is defined as

[tex]|x| = \begin{cases}x & \text{for }x \ge 0 \\ -x & \text{for }x < 0\end{cases}[/tex]

If x is strictly positive (x > 0), then |x| = x, and d|x|/dx = dx/dx = 1.

If x is strictly negative (x < 0), then |x| = -x, and d|x|/dx = d(-x)/dx = -1.

But if x = 0, the derivative doesn't exist!

In order for the derivative of a function f(x) to exist at x = c, the limit

[tex]\displaystyle \lim_{x\to c}\frac{f(x) - f(c)}{x-c}[/tex]

must exist. This limit does not exist for f(x) = |x| and c = 0 because the value of the limit depends on which way x approaches 0.

If x approaches 0 from below (so x < 0), we have

[tex]\displaystyle \lim_{x\to 0^-}\frac{|x|}x = \lim_{x\to0^-}-\frac xx = -1[/tex]

whereas if x approaches 0 from above (so x > 0), we have

[tex]\displaystyle \lim_{x\to 0^+}\frac{|x|}x = \lim_{x\to0^+}\frac xx = 1[/tex]

But 1 ≠ -1, so the limit and hence derivative doesn't exist at x = 0.

Putting everything together, you can define the derivative of |x| as

[tex]\dfrac{d|x|}{dx} = \begin{cases}1 & \text{for } x > 0 \\ \text{unde fined} & \text{for }x = 0 \\ -1 & \text{for }x < 0 \end{cases}[/tex]

Step-by-step explanation:

no solution as √x is a positive value

no solution as √x is a positive value

#1

If square root is over x only x=3²=9

#2

No solutions as -10 is <0

#3

If root is over x only then no solutions

#4

√x=0.1

x=0.01

Answer: C

Step-by-step explanation: half of 6 is 3 so its C

First,

Length of Rectangle = (x + 9) units

Breadth of Rectangle = (x + 3) units

so,

Area = (x + 9) * (x + 3)

= x² + 9x + 3x + 27

= (x² + 12x + 27) units

Answer:

4.95

Step-by-step explanation:

The volume of the rectangular prism is 16.2 ft³.

The volume of any object defined the capacity of it, how much it can hold something is called its volume.

Given is rectangular prism, we need to find the volume of the same,

So, we know that the volume of a rectangular prism is the product of its dimensions.

V = length × width × height.

[tex]V = 1\frac{1}{5} \times 4\frac{1}{2} \times 3[/tex]

[tex]V = \frac{6}{5} \times \frac{9}{2} \times 3[/tex]

V = 162/10

V = 16.2

Hence, the volume of the rectangular prism is 16.2 ft³.

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The equation represents this sentence"28 is the quotient of a number and 4" will be n/4=28.

Equations are statements that affirm the equivalence of two expressions that are joined by the equals symbol "=". An equal sign ("=") links two expressions together to form an equation. The two expressions on each side of the equals sign are referred to as the "left-hand side" and "right-hand side" of the equation. The right side of an equation is typically assumed to be zero.

It is given that, 28 is the quotient of a number and 4.

The number being divided is referred to as the dividend, and the number being divided by it is referred to as the divisor. The quotient is the outcome of the division.

Suppose the number is n,

n/4=28

Thus, the equation represents this sentence"28 is the quotient of a number, and 4" will be n/4=28.

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Answer:

[tex]\huge\boxed{318yd^2}[/tex]

Step-by-step explanation:

The object shown in the diagram is a triangular prism, which contains two triangular sides and three rectangular sides.

The area of a triangle is simply [tex]\frac{bh}{2}[/tex].

Because the triangles are both the same, you may multiply the equation by 2 to get simply bh, or 9 * 6, or 54.  

Then, simply solve for the areas of each rectangle:

r1 = 11 * 7 = 77

r2 = 11 * 8 = 88

r3 = 11 * 9 = 99.

Then, simply add all the values to get:

99 + 88 + 77 + 54

318.

Hope it helps :) and let me know if you want me to elaborate.

Answer:

the cube root of -12 is -2.28942849 which is around -2

Step-by-step explanation:

=======================================================

Explanation:

The exterior angle of 142 leads to an interior angle of 180-142 = 38. The adjacent interior/exterior pair of angles always add to 180. So 38+142 = 180. These two angles are supplementary, which is another way of saying they form a straight line.

Since 38 is one of the acute interior angles, the other acute interior angle is 90-38 = 52. The rule is that the acute interior angles of any right triangle always add to 90 degrees (i.e. the angles are complementary).

Lastly, the remaining interior angle is the 90 degree angle itself. All right triangles have exactly one angle that is 90 degrees. The term "right angle" is often used in place of "90 degree angle".

Answer:

1575

Step-by-step explanation:

Answer: C

Step-by-step explanation: see picture

Answer:

  B.  28.5

Step-by-step explanation:

Before you can use the Law of Sines, you need to know the measure of angle C. The sum of angles in a triangle is 180°, so you have ...

  A + B + C = 180°

  C = 180° -A -B = 180° -32° -25° = 123°

The Law of Sines tells you ...

  c/sin(C) = a/sin(A)

  c = sin(C)·a/sin(A) = sin(123°)·18/sin(32°)

  c ≈ 28.5

_____

Additional comment

The law of sines says the ratio of a side length to the sine of the opposite angle is a constant for any given triangle:

  a/sin(A) = b/sin(B) = c/sin(C)

In order to use this relationship, you need to have a side length and its opposite angle. If you're solving for a side length, as here, you need to know the angle opposite that side.

This problem gives you side 'a' and angle A, and it asks for side 'c'. That means you need to know angle C, which we found as part of our solution.

Answer:

x=9

Step-by-step explanation:

Since the sides are the same, the base angles must be the same

8x+2 = 10x-16

Subtract 8x from each side

8x+2-8x =10x-16-8x

2 = 2x-16

Add 16 to each side

2+16 = 2x-16+16

18 =2x

Divide by 2

18/2 =2x/2

9 =x

Answer:

Answers below

Step-by-step explanation:

How fast did the tree grow?

28 centimeters per year

How many years passed from the time Renata moved in until the tree was 344 centimeters tall?

5.5 years

Hope this helps!

Answer:

Follow the order of operations and then solve from there

x^2 is simplifed to its max

6^2 is 36

10^2 is 100

x^2+36=100

Follow it normally

x^2=64

√64 = 8

x=8

**edited, sorry for the incorrect answer**

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

First lets write our equation

[tex]x^2+6^2=10^2[/tex]

We will use PEMDAS, or also known as BOMDAS

[tex]x^2+36=100[/tex]

Subtract 36 from both sides

[tex]x^2=64[/tex]

Find the square root of 64

[tex]\sqrt{64} =8[/tex]

[tex]x=8[/tex]

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The time taken by auntie Annie to rake is 25 minutes.

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions is called inequality.

Let the time taken by auntie Anne to rake be ab minutes.

Now, according to the given question.

Auntie Anne situation is represented by an inequality

10 < ab <40

Since, it is given that sum of the digits of time taken by Anne to rake is 7.

⇒ a + b = 7

Also, ab is a multiple of 5.

Now,

When, a = 4 and b = 3 (or vice-versa)

4 + 3 = 7 but 43 is not a multiple of five.

When, a = 6 and b = 1 ( or vice versa)

6 + 1 = 7, but 61 is not a multiple of five.

When, a = 2 and b = 5 (or vice versa)

2 + 5 = 7 and 25 is multiple of 5.But 52 is not a multiple of 5.

Also, 25 is less than 40 and greater than 10.

Therefore, the time taken by auntie Annie to rake is 25 minutes.

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