what’s the surface area of this figure ?

Answer:

Step-by-step explanation:

base area=41.57 in²

height=9 in

volume=41.57×9=374.13 in³

Answer:

Shift 7 units down

Step-by-step explanation:

Shift 7 units down

The cost of the manicure (b) is,

⇒ b = $4.275

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Delaney gave her nail technician a $4.50 tip.

And, The tip was 5% of the cost of the manicure.

Now, Let the cost of the manicure = b

Hence, We get;

⇒ b = $4.50 - 5% of 4.50

⇒ b = 4.50 - 5/100 × 4.50

⇒ b = 4.50 - 5 × 0.045

⇒ b = 4.50 - 0.225

⇒ b = $4.275

Thus, The cost of the manicure (b) is,

⇒ b = $4.275

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The item most likely to weigh 2 kilograms is a roast chicken.

The size, breed, and any other ingredients or stuffing used can all affect the weight of a roast chicken. Weights of roast chickens can range from petite ones weighing less than 1 kilogram to larger ones weighing more than 2 kilograms.

The other things that we have there would either weigh less than 2 Kg such as a tea bag or much more than 2 Kg such as a horse. The egg and the tea a very light and would be less than 2 Kg in weight while the bag and the horse would be above 2 Kg in weight.

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Answer:

60

Step-by-step explanation:

if you divide 120(the total distance traveled) by 2(the hours that it traveled) you get 60.

the answer is 60miles/1 hour or 60mph.

explanation:

so the bus completed 120miles in 2 hours. and they want you to find the speed or miles per hour the bus traveled. all you need to do is divide 120/2= 60 so the answer would be 60 miles per hour or 60mph. you know its right because the ratio of 120:2 shows how much per 2 hours we need to divide to find out how the ratio of miles:1 hours (which is better thought of as mph= miles per each hour) to show how much for 1 you divide both sides of 120:2 by 2. so 120÷2=60 : 2÷2=1 so you found the ratio is 60 miles per hour. 60:1 i hope that helps you guys out and that i didnt confuse you more.

Answer:

x-35.75=40.00

Step-by-step explanation:

Let's use m as our variable.

So Marlen went to the mall and spent $35.75 on shoes. When she got home she had $40.00 in her purse.

An equation to represent this is : x-35.75=40.00

If you are interested in the value of x it is $75.75

9514 1404 393

Answer:

  a.  see below for diagram. Angle for the length; length for the angle

  b. 6.84°; not to code

  c. 36.1 ft

Step-by-step explanation:

a. The diagram is shown below. Mr. Gow needs to find the angle it makes in order to determine if it is up to code. Alternatively, Mr. Gow needs to find the required length for a ramp that meets code.

__

b. The angle the ramp makes can be found using the tangent relation.

  Tan = Opposite/Adjacent

  tan(angle) = 3/25

  angle = arctan(3/25) ≈ 6.84°

The ramp will make a 6.84° angle with the ground. It will not meet code.

__

c. We can find the distance from the building where the ramp must start using the same trig relation.

  tan(4.75°) = (3 ft)/(distance)

  distance = (3 ft)/tan(4.75°) ≈ 36.1 ft

The ramp must start 36.1 feet from the building to exactly meet code.

ABOVE answer is absolutely correct

Answer:

the amount of a $3,000.00 annuity due at 12 percent compounded semiannually for 3 years. A. $334,321.00 B. $43,068.93 C. $22,180.50 D. $41,814.50

The amount of the annuity due in 23 years with 8% of interest compounded semiannually is $62053.35.

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

Scupper Molly invested $1,800 semiannually for 23 years at 8% interest compounded semiannually.

Then the amount of the annuity due will be

\(\rm A = 1800 (1 + 0.08)^{2\times 23}\\\\A = 1800 (1.08)^{46}\\\\A = 1800 \times 34.474\\\\A = 62053.35\)

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Step-by-step explanation:

parallel slope is 6

perpendicular slope is -1/6

parallel = 6

perpendicular = -1/6

y = mx + c

slope = gradient(m)

y = 6x - 3

So the slope in parallel is = 6

Slope in perpendicular = -1/m = -1/6

Answer:

2/3×3/5=2/3. 3/4×1/6=1/8

2/3-1/8=11/40

Answer:

Step-by-step explanation:

\(( \frac{2}{3} \times \frac{3}{5} ) - ( \frac{3}{4} \times \frac{1}{6} )\)

Reduce the numbers with Greatest common factor 3

⇒\( \mathsf{(2 \times \frac{1}{5} ) - ( \frac{1}{4} \times \frac{1}{2} )}\)

Calculate the product

⇒\( \mathsf{( \frac{2}{5} )- ( \frac{1}{4} \times \frac{1}{2}) }\)

Subtract the fractions

⇒\( \mathsf{ \frac{2 \times 8 - 1 \times 5}{40} }\)

⇒\( \mathsf{ \frac{16 - 5}{40} }\)

⇒\( \mathsf{ \frac{11}{40} }\)

Hope I helped!

Best regards!

The graph of a proportional relationship can be described as a graph that always starts at point zero and is always a straight line graph.

A straight line graph is defined as the type of graph that is also called a linear graph which shows a relationship between two or more quantities that uses a graphical form of representation.

There are some characteristics that shows that a graph is of proportional relationship which include the following:

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Answer:

D, E, F is the answer.

Step-by-step explanation:

From the diagram:-

Therefore, D, E, F.

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

Answer:

yes

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

may I have brainllest

Answer:

A

Step-by-step explanation:

The term in the AP whose value is 201 / 2 is 71.3.

The first term of an arithmetic progression is 5 and the common difference is - 3/2.

The formula of the arithmetic progression can be described as follows:

nth term = a + (n - 1)d

where

Therefore, using the arithmetic progression formula,

a = 5

d = 3 / 2

nth term = 201 / 2

let's find the term(n)

Therefore,

- 201 / 2 = 5 + (n - 1) - 3 / 2

- 201 / 2 = 5  - 3 / 2 n  + 3 / 2

- 201 / 2  - 3 / 2 - 5 =  - 3 / 2 n

- 107  =  -3 / 2 n

-3n = - 214

n = 214 / 3

n = 71.3

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Answer:

k = 4

Step-by-step explanation:

(-2)k+1 × (-2)3  = (-2)7​

-2k + -6 = -14

- 2k = -14 + 6

- 2k = - 8

k = -8 / -2

k = 4

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Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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The angle between the ground and the steepest slope on the real rollercoaster is approximately 89.998°.

A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°.What is the angle between the ground and the steepest slope on the real rollercoaster?

To determine the angle between the ground and the steepest slope on the real rollercoaster, you need to consider the scale of the model rollercoaster.To find the real rollercoaster angle, you should use a scale factor that relates the model rollercoaster to the real one.

The scale factor should multiply the model angle to obtain the real one. Since the scale factor relates the model length to the real length, it should relate the horizontal distance and the vertical height.

The horizontal and vertical lengths are in a ratio of 32:1 for the model. This means that for every 32 units in the model, there is one unit in the real rollercoaster. Therefore, we can say that the horizontal length of the real rollercoaster is 32 times the horizontal length of the model rollercoaster.

That is:h(real) = 32h(model)Similarly, the vertical height of the real rollercoaster is 32 times the vertical height of the model rollercoaster. That is:v(real) = 32v(model)

The tangent of an angle equals the vertical height divided by the horizontal distance. Therefore, the tangent of the real angle equals the tangent of the model angle times the scale factor.

That is:tanθ(real) = 32tanθ(model)By substitution,θ(real) = arctan(32tanθ(model))For the given model angle of 110°,

the corresponding real angle is:θ(real) = arctan(32tan110°)θ(real) = arctan(32(-2.74747741945462))θ(real) = arctan(-87.91927694142864)θ(real) ≈ -89.998°

The negative sign indicates that the angle is measured below the horizontal line.

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Answer:

x = 2 or x = 1

Step-by-step explanation:

Answer:

A,

B

Step-by-step explanation:

If it's a 15 dollar variable fee and a flat 10 our equation looks like this

15c+10

which is the same as A

Now that we know the equation we can just plug a couple of numbers in

when c=3 what is h

15(3)+10=

55

THerefore the answer is B

Answer:

13) A

14) B

Step-by-step explanation:

For number 13 the answer is A because it says he gets charged 15 dollars per hours PLUS the 10 doller traveling fee. So basically:  15 charge + 10 travel fee = hour.

Now for number 14 we know the answer just from the first part. If its three hours then we need to multiply 15 dollars by 3 because like they said, he charges 15 dollars PER HOUR. 15 times 3 equals 45. But thats not all. We need to add 10 dollars to that because of the travel fee. 45 plus 10 equals 55. And the only table that shows 55 dollars is B so we already know the answer without doing the rest.

Answer:

D

Step-by-step explanation:

(1/2)^4 = 0.063

0.063 as a fraction is 1/16

Answer:

B

Step-by-step explanation:

Answer:

D.

Step-by-step explanation: First multiply 2x^2 to x - 2 to get 2x^3 - 4x^2

and then multiply 6 to x - 2 to get 6x - 12. Then put the equation together:

2x^3 - 4x^2 + x - 2

Given statement solution is :-  For the third week of April, Patricia's:

Regular pay amount is $476.

Overtime pay is $231.45.

Gross pay is $707.45.

To calculate Patricia's pay for the third week of April, we'll need to determine her regular pay, overtime pay, and gross pay.

Regular Pay:

Patricia worked 53 hours, but only 40 hours are considered regular hours. Therefore, the regular pay is calculated as follows:

Regular Pay = Regular Hours x Hourly Rate

Regular Pay = 40 hours x $11.90/hour

Regular Pay = $476

Overtime Pay:

Since Patricia worked 53 hours in total and 40 of those are regular hours, the remaining 13 hours are considered overtime hours. Overtime pay is calculated by multiplying the overtime hours by 1.5 times the hourly rate.

Overtime Pay = Overtime Hours x (Hourly Rate x 1.5)

Overtime Pay = 13 hours x ($11.90/hour x 1.5)

Overtime Pay = 13 hours x $17.85/hour

Overtime Pay = $231.45

Gross Pay:

Gross Pay is the sum of Regular Pay and Overtime Pay.

Gross Pay = Regular Pay + Overtime Pay

Gross Pay = $476 + $231.45

Gross Pay = $707.45

Therefore, for the third week of April, Patricia's:

Regular pay amount is $476.

Overtime pay is $231.45.

Gross pay is $707.45.

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Answer:

12345678910

Step-by-step explanation:

CHARRRRRRRRR joke lang bestie

The expression |-4| has a value of 4 when evaluated

From the question, we have the following parameters that can be used in our computation:

|-4|

The above expression is an absolute expression

So, the solution is the positive value of the expression in bracket

Evaluate the expressions in the brackets

So, we have the following representation

|-4| = 4

Hence, the expression has a value of 4

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The scale factor is 1/3.

What is the scale factor?

The difference in scale between an original object's scale and a new object that is its representation but is larger or smaller is known as a scale factor. For instance, we can increase the size of a rectangle with sides of 2 cm and 4 cm by multiplying each side by, let's say, 2.

Here, we have

Given: Triangle D has been dilated to create triangle D′.

To find the scalar value, simply choose one side of D and one did of D’ and divide them to find the scalar. We can verify that we have the correct scalar by performing this division on each related edge. Below I will do D to D’ represented like D/D’:

4.8 / 1.6 = 3

4.2 / 1.4 = 3

2.7 / x = 3

Knowing that the scaling for each edge is 3, we can solve for x.

2.7 / 3 = x

0.9 = x

The edges for D are 4.8, 4.2, and 2.7 respectively to D’ scaled by 1/3. So we can determine that the edges for D’ are 1.6, 1.4, and 0.9 respectively to D scaled by 3.

So if we go D’ to D, we scale by 3. If we go D to D’, we scale by 1/3.

Hence, the scale factor is 1/3.

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Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

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

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

Step-by-step explanation:

OK so

Tomatoes = 2 3/8 = 19/8 (turned into improper fraction)

Asparagus = 1 1/4 =5/4

Potatoes = 2 7/8 = 23/8

Total vegetables used =

19/8 + 5/4 + 23/8 = 42/8 + 5/4 = 42+10/8 =52/8

Answer is 52/8 = 6.5

Answer : 52/8 pounds were used altogether

See picture for solution.

The length of the arc on the pool is 14.14m

The length of an arc depends on the radius and the angle subtended by the arc. The formula to calculate the length of an arc is: length of arc = (radius x angle in radians).

The formula can be written as;

L = (θ / 360) * 2πr

L = (45 / 360) * 2π * 18

L = 0.125 * 36π

L = 14.14m

The length of the arc is 14.14m

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