Seraphina is driving two hours to visit her family. For the first hour, she traveled at a speed of 60 miles per hour. Then, in the second hour, she traveled at a speed of 65 miles per hour. What is the percentage increase of Seraphina's speed? If necessary, round to the nearest tenth of a percent

Answer:

a) Thin mints = 1.885 radians

b) Savannah smiles cookies = 0.332 radians

Step-by-step explanation:

To convert an angle from degree to radians, the formula is given as :

x ° × π/180 = radians

Where x = angle to be converted

From the diagram we are to convert Thin mints and Savannah cookies to radians

a) Thin mints = 108°

Converting to radians

= 108° × π/180

= 1.8849555922 radians

Approximately = 1.885 radians

b) Savannah smiles cookies = 19°

Converting to radians

= 19° × π/180

= 0.331613 radians

Approximately = 0.332 radians

Answer:

D) The product of two rational numbers is rational.

Answer:

7.415 ≤ x < 7.425

Step-by-step explanation:

The number x was rounded to 2 decimal places to give 7.42.

Since rounded off to 2 decimal places, the error interval for x is half of 0.01 subtracted from and added to 7.42.

Thus;

7.42 ± (0.01/2)

(7.42 - 0.005),(7.42 + 0.005)

7.415, 7.425

Now, 7.425 will not be included in the internal because approximating it doesn't give 7.42.

Thus,the error interval is;

7.415 ≤ x < 7.425

The solution of the equation 36⁶x - 1 = 6⁵x is  x = 1/2176774560.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

We have the equation:

36⁶x - 1 = 6⁵x

Simplifying,

(6²)⁶x - 1 = 6⁵x

6¹²x - 6⁵x = 1

2176782336x - 7776x = 1

x = 1/2176774560

The above equation is the required solution.

Therefore, the required value is x = 1/2176774560.

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Answer:

x= -4

Step-by-step explanation:

3=8x-5(3x+5)

distribute

3=8x-15x-25

combime like factors

28= -7x

divide 28/ -7

x= -4

Answer:

800

Step-by-step explanation:

700________________750___________771________800

771 is over 750 so it would be rounded to 800

Answer: 800

Step-by-step explanation:

771 is 50+ thus it round over to 800.

Answer:

11

Step-by-step explanation:

sqrt(24×5+1)

sqrt(120+1)

sqrt(121)

11

Answer:

I thought it is 44 since ACB is 88 and it is a central angle with respect to the arc AB while ADB is inscribed angle then it is 1/2 of arc AB then it is 1/2 of 88 which is 44

Answer:

Step-by-step explanation:

A= πr2 = π·72 ≈153.93804

Step-by-step explanation:

The formula for an area of a circle is: π[tex]r^{2}[/tex]

In this instance you are using 3.14 for pi.

3.14 ([tex]7^{2}[/tex])= 153.86

Area= 153.86[tex]ft^{2}[/tex]

Answer:

Step-by-step explanation:

The angle is between 3pi/2 and 2pi so it is in the fourth quadrant where both sin and tan are negative.

Given cos(θ) = sqrt(2)/2

cos^2(θ) + sin^2(θ) = 1

sine^2(θ) = 1 - 2/2^2 = 1 - 1/2 = 1/2

sin(θ) = +/1 sqrt(2)/2

As we know sin(θ) is negative,

sin(θ) =  -sqrt(2)/2; the second answer

tan(θ) = sin(θ)/cos(θ) = -1

Answer:

Step-by-step explanation:

using (cosθ)^2 + (sinθ)^2 = 1

2/4 + (sinθ)^2 = 1

sinθ = [tex]\sqrt{2}/2[/tex]

or -[tex]\sqrt{2} /2[/tex]

By C-A-S-T, sinθ is -ve

sinθ = -[tex]\sqrt{2}/2[/tex]

tanθ = sinθ/cosθ = -1

Answer:

10 in * 7in

Step-by-step explanation:

Given that :

Volume of block = 350 in³

Height of block = 5 inches

The dimension of block can be expressed cubic units

Volume of a rectangular prism :

V = length * width * height

Let ; length * width = B

350 = B * 5

B = 350 / 5

B = 70 in²

Possible dimension of B:

B = length *width

70 in² = 10 in * 7in

Hence, possible whole number dimension for the base = 10 in * 7in

Answer:

it would be 7 x 10 , 1 x 70 , 2 x 35

Step-by-step explanation:

the answer is 3 because you subtract 6 - 3 = 3r

Answer:

18

Step-by-step explanation:

Answer:

(2,2)

Step-by-step explanation:

Answer:

Quadrilateral ABCD is a rhombus, because all four sides are congruent and adjacent sides are not perpendicular .

Step-by-step explanation:

Given :

A quadrilateral with its coordinates as follows:

Where  A (3, 1), B (4,4), C (7,5), D (6,2).

We will measure the length of the congruent sides by applying distance formula.

Distance formula = square root (x^2 - x^1)^2 + (y^2 - y^1)^2

So,  

AB = ( insert the coordinates using the formula )

BC = ( insert the coordinates using the formula )  

CD = ( insert the coordinates using the formula )

DA = ( insert the coordinates using the formula )

It all equals = squareroot 10

From the above measurement and looking into the diagram we can conclude that the Quadrilateral ABCD is a rhombus.  

In rhombus the adjacent sides are not perpendicular and its diagonals are of different length.

Answer:

18 inches

Step-by-step explanation:

Answer:

$107.60

Step-by-step explanation:

100 [1 + (0.076 * 1)] = 107.6

= $107.60

Answer: 19-3= 16. 16/8= 2. each candy bar cost 2 dollars

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

8n=144

divide the both side of the equation by 8

and you will get

n=18

Answer:

8n-5=139

Add 5 to each side.

8n=144

Divide each side by 8.

n=18

Answer: C. They are similar by the SSS rule

Step-by-step explanation:

There are three ways to prove triangle similar

--------------------------------------------------------------------------------

Here, we see in the figures, the side lengths are given, and there are no angles. So, supposedly, we are going to use SSS similar theorem.

Solve

MN corresponds to UV

ML corresponds to UT

LN corresponds to TV

MN/UV=24/8=3

ML/UT=33/11=3

LN/TV=42/14=3

∴MN/UV=ML/UT=LN/TV

∴They are similar

Hope this helps!! :)

Please let me know if you have any questions

Answer:

36 cm2

Step-by-step explanation:

Answer:

36cm² your welcome

Answer:B, C, D

Step-by-step explanation:

I did the USATESTPREP

Answer:

what are the answer choices

Step-by-step explanation:

The linear expression 24y - 12 is not equivalent to the expression 2(12y - 12) option (A) 2(12y - 12) is correct.

It is defined as the combination of constants and variables with mathematical operators.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a linear expression:

= 24y - 12

From the above linear expression take 2 as a common factor:

= 2(12y - 6)

Take 2 as common factor again:

= 2(2)(6y - 3)

= 4(6y - 3)

Now, take 3 as a common factors:

= 12(2y - 1)

The expression 24y - 12 is equivalent to the expressions 2(12y - 6), 4(6y - 3), and 12(2y - 1).

Thus, the linear expression 24y - 12 is not equivalent to the expression 2(12y - 12) option (A) 2(12y - 12) is correct.

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Answer:

6563kmph

Step-by-step explanation:

take 21,000 divided by 3.2 hours to get the speed

21,000/3.2 = 6562.5

It says to round 6562.5 to the nearest whole number so its 6563

Answer:

10.2*6.3=64.26

Step-by-step explanation:

Solve 102*63, then move the decimal point two numbers from the right:

Since 102*63=6426, then moving the decimal point two numbers from the right will mean 10.2*6.3=64.26

Answer:

64.26

Step-by-step explanation:

This is a simple multiplication

When you 'multiply' or 'times' even a product of a number you add it to itself a number of times, for this problem, 10.2 multiplied by 6.3 is the same as saying 10.2 + 10.2 + 10.2 = 64.26. Multiplication is therefore a quicker way of adding the same number many times, for example, 10.2 × 6.3 = 64.26. Therefore, the product of 10.2 and 6.3​ is 64.26.

Answer:

See below.

Step-by-step explanation:

Function A.

x  y

3  3

5  7

6  9

slope = (9 - 7)/(6 - 5) = 2

y = 2x + b

3 = 2(3) + b

b = -3

y = 2x - 3

Function A is y = 2x - 3

Function B.

(0, 3)

(-5, 0)

slope = (0 - 3)/(-5 - 0) = -3/-5 = 3/5

b = 3

Function B is y = 3/5 x + 3

Function C is 3x + 1

The rate of change of a linear function is the slope.

Answer:

Function B

Function A

Function C