Below is a pattern that can be used to cut out and fold to make a cube. If each edge is 5 inches, what will be the surface area of the cube? A 30 in? B 120 in С 150 in? D 3,125 in

Given:

A patient takes three 25 mg capsules a day.

Answer: A patient is taking 75 mg capsules every day.

Find the equation of the line that contains the points (2,4) and (8,9). Write the equation in the form y=mx+b and identify m and b.

step 1

Find the slope

m=(9-4)/(8-2)

step 2

Find the equation in slope-intercept form

y=mx+b

we have

m=5/6

point (2,4)

substitute and solve for b

4=(5/6)(2)+b

4=(5/3)+b

b=4-5/3

therefore

Given data:

The initial time is t=2:20 pm.

The final timme is t'=3:14 pm.

The time during which kite fly is,

Thus, option (C) is correct.

After bisecting the original angle, there are two angles that each measure 18°. Which statement is true? A) The original angle of 2° was bisected into two congruent angles. B) The original angle of 9° was bisected into two congruent angles. Eliminate The original angle of 36° was bisected into two congruent angles. D) The original angle of 72° was bisected into two congruent angles.​

we know that

when bisecting an angle, the angle is divided into two equal parts

so

The original measure of the angle is

18(2)=36 degrees

therefore

The statement that is true is

D because financing has a fixed rate

a friend's loan has no rate

the credit card varies the rate while you are using it

The student loan has no financing

To solve this divition we can write it like:

So now we can multiplicate the numerator of the first fraction with the denominatior of the second fraction, and put the resould in the numerator of the quationt, ans the same operation for the numeratior with the numerator of the secon fraction and the denominator of the first fraction so:

Answer: The width is 37 feet

Given data

Volume = 10, 878 cubic feet

Length = 7 feet

Height = 42 feet

width = ?

Let width = w

Volume of the rectangular prism = l x w x h

10, 878 = 7 x 42 x w

10, 878 = 294 x w

10, 878 = 294w

Divide both sides by 294

10, 878 /294 = 294w/294

w = 10, 878 / 294

w = 37 feet

Therefore, the width is 37 feet

The area of the shaded figure is 45 [tex]cm^{2}[/tex]

It is given that ABC and BCD are identical triangles and the overlapping area is 19[tex]cm^{2}[/tex]

Now, to evaluate the area of the shaded figure, we will calculate the area of the two triangles ABC and BCD, then we will subtract the overlapping area from it.

So, by evaluating the figure, it comes out that the length of the triangle is 4 units and 1 unit is 2cm.

So, Height of the triangle = 4 * 2 cm = 8 cm

And the base of the triangle is 3 units, then,

Base of the triangle = 3* 2 cm = 6 cm

The area of the triangle = 1/2 * base* height

Area of triangle ABC = [tex]\frac{1}{2} *8*6 = 24cm^{2}[/tex]

The area of both the triangles = area(ABC) +area(BCD)

Since two the triangles are identical, their areas are also identical,

So, the Area of both the triangles = 2*area(ABC)  = 2*24 = 64[tex]cm^{2}[/tex]

Now, The area of the shaded figure = area(ABC) +area(BCD) - overlapping area.

The area of the shaded figure = 64 - 19 = 45 [tex]cm^{2}[/tex]

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We solve as follows:

We operate like terms after substracting 24 from each side of the function.

From the question

We are given the points

Finding the slopre, m

Slope is calculated using

From the given points

Therefore,

Therefore, m = -8/3

The next thing is to find

A slope parallel to m

For parallel lines, slopes are equal

Therefore,

Next, we are to find

A slope perpendicular to m

For perpendicular lines, the product of the slopes = -1

Therefore

Hence,

Therefore,

Next, we are to find the distance KP

Using the formula

This gives

Therefore,

Next, equation of the line

The equation can be calculated using

By inserting values we have

Therefore the equation is

The equation between two points is given as:

Plugging the values of the points given we have:

Therefore the equation in standar form is:

The given sum is

This means we have to replace k = 4, 5, 6, 7, 8, 9, and then we sum

Solution

17. -8

18. 0, -3 ,1 , -1

19. -1 ,1 ,-2

20. 3, -5 ,4 ,-1

21. 4, -2. 2

Solution:

Given the equation;

We would create a table of values such that x ranges from 0 to 5;

Then;

Thus, the correct table is;

Answer:

its D

Step-by-step explanation:

The fraction of the hour joey used for practicing the piano can be gotten from the gaps in the number line.

Since there are 3 equal gaps in the number line , this denotes the fraction of the hour that each gap would represent is

This implies that the first point is = 0

This implies that the second point is = 1/3

This implies that the third point is = 2/3

This implies that the fourth point is = 1

In conclusion, the answer is B for the second point.

By performing some simple mathematical operations, we know that the total cost of 2.75 pounds of pistachios is $18.15.

So, the total cost will be:

Then, the total cost will be:

Therefore, by performing some simple mathematical operations, we know that the total cost of 2.75 pounds of pistachios is $18.15.

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Correct question:

A pound of pistachios costs $6.60. and you buy 2.75 pounds. What is the total cost?

ANSWER

EXPLANATION

The group consists of 4 friends and each friend has 12 tickets.

Each friend uses 4 tickets to ride the roller coaster.

To find the number of tickets each friend has after the ride, subtract the number of tickets used for the ride from the number of tickets each friend had initially.

That is:

Now, to find the number of tickets the group has, multiply the number of friends in the group by the number of tickets left:

Answer:

C is correct.

Step-by-step explanation:

The area of the rectangle is 10 × 6, or 60 square meters.

The area of the triangle is 1/2 × 7 × 6, or 21 square meters.

So the area of the shaded region is the area of the rectangle minus the area of the triangle. That area is 60 - 21, or 39 square meters. C is correct.

∆RSP ≈ ∆QSP through SAS congruency theorem. PR is congruent to PQ.

Given that,

S being the midpoint of QR

SR = QS            (∵ midpoint)

PS = PS  (common side/reflexive property)

Two right triangles are congruent due to

∵ PS ≅ PS                       (SAS congruency)

According to the SAS rule, two triangles are said to be congruent if any two sides and any angle contained between the sides of one triangle are equal to the second triangle's two sides and angle between its sides correspond to the first triangle's.

QS ≅ PS

Thus, ∆RSP ≈ ∆QSP through SAS congruency.

While PQ = PR               (by CPCT).

Hence, proved.

Therefore, ∆RSP ≈ ∆QSP through SAS congruency theorem. PR is congruent to PQ.

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ANSWER:

1st option.

STEP-BY-STEP EXPLANATION:

We have the following composite function obtained from two functions:

We can determine the functions as follows:

Therefore, the correct answer is the 1st option.

The value of ∠K is 46.2° as the definition of angle is "An angle is created by joining two line segments at one point, or we can say that an angle is the combination of two line segments at a common endpoint".

An angle is created by joining two line segments at one point, or we can say that an angle is the combination of two line segments at a common endpoint. When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the word "angle" originates. Based on measurement, there are different kinds of angles in geometry. The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation. A geometrical shape called an angle is created by joining two rays at their termini. In most cases, an angle is expressed in degrees.

Here,

Side i = 68.91521 cm

Side j = 66 cm

Side k = 53 cm

Angle ∠I = 69.8°

Angle ∠J = 64°

Angle ∠K = 46.2°

∠K= sin⁻¹(k·sin(J)/j)

=sin⁻¹(53.(sin 64°)/66)

=46.2°

Since the definition of an angle is "An angle is created by joining two line segments at one point, or we can say that an angle is the combination of two line segments at a common endpoint," the value of ∠K is 46.2°.

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Given the coordinates of the function;

f(x) = {(7,3), (5,3), (9,8).(11,4)}

The inverse of any coordinate points is gotten by changing the y coordinate valuewith the x coordinate values i.e y = x

f-1(x) = {(3,7), (3,5), (8,9), (4,11)

You can see that the x coordinates has been swapped with the y coordinates.

Similarly;

g-1(x) = {(7, 5),(5,3), (9,7), (11,9)}

EXPLANATION

We are given the following parameters:

Length of arc= 5/3pi

Diameter = 18 feet

Therefore, radius =18/2 = 9 feets

The formula for the length of the arc is given below.

We will substitute the given parameters into the formula above to get the measure of the angle.

Therefore, the measure of the angle is

if each u it cube has edge's of length 1/2 foot, what is the volume of the blue-outlined prism

we have that

the volume of each cube is equal to

V=(1/2)^3

V=1/8 ft3

the rectangular prism volume is equal to

calculate the volume by the numbers of cube

so

V=(5)(2)(2)=20 cubes

Multiply by the volume of each cube

20*(1/8)=2.5 ft3

the volume of the rectangular prism is 2.5 ft3

Explanation: Here we have a factorization problem and the way we solve it depends on the complexity and degree of the equation. We can see our equation is a simple quadratic function so we will use a simple method to solve it.

Step 1: Let's take a look at the illustration bellow

Step 2: As we can see above, we just need to find a way to represent the second term as a sum and the last term as multiplication using the same numbers.

Result: Once we found that this number is -6 so we can represent our factor as

And that is our final answer.

a) for x = 0

y = (2/3) x 0 + 4

y = 0 + 4

y = 4

b) x = 3

y = (2/3) x 3 + 4

y = 6/3 + 4

y = 2 + 4

y = 6

c) x = 9

y = (2/3) x 9 + 4

y = 18/3 + 4

y = 6 + 4

y = 10

d) x = -9

y = (2/3) x (-9) + 4

y = -18/3 + 4

y = - 6 + 4

y = -2

e) x = 10

y = (2/3) x 10 + 4

y = 20/3 + 4

y = 32/3

f) x = 1/2

The given expression is

First, we use the distributive property to solve the parenthesis, we have to multiply the negative sign with each term inside the parenthesis.

We reduce like terms, 6y and -2y are like terms in this case,

Then, we subtract 5 on each side.

At last, we divide the equation by 4.

We are given the Pie chart of Milton's family budget with the following detail:

Food = 33%

Rent = 25%

Savings = 6%

Clothes = 15%

Misc = 21%

1. The percentage of the budget allocated to rent is 25%

2. The percentage of the budget allocated to clothes is 15%

3.

If the budget is $2,000, the amount allocated to Savings is:

4.

If the budget is $2,000, the amount allocated to food is:

5.

If the budget is $2,000, the amount allocated to Misc is:

The perimeter of the regular nonagon is 72 inches, the length of each side can be determined as,

The diagram can be drawn as,

The value of apopthem a can be determined as, where n is the number of sides,

The area can be determined as,

Thus, the required area of the polygon is 395.63 square inches.