In order for th parallelogram tobe a square, x = = [? ]°4x+17°

210 books were sold in 3 weeks

Explanation

Step 1

you can easily solve this by using a rule of three

number of weeks=1

sold books=70

then, the rate is

Step 2

Let

x represents the number of books sold in 3 weeks,then the rate is

as the rates are equal

I hope this helps you

step 1

Find the equation of line k

the slope of line k is

m=-3/4 ------> previous answer

step 2

If two lines are perpendicular, then their slopes are opposite reciprocal

so

the slope of the line m must be equal to

m=4/3

I will assume a point (3,4)

Find the equation in slope intercept form

y=mx+b

we have

m=4/3

point (3,4)

substitute

4=(4/3)*(3)+b

solve for b

4=4+b

b=0

therefore

Find the equation in point slope form

y-y1=m(x-x1)

we have

m=4/3

point (3,4)

substitute

Find the equation in standard form

Ax+By=C

where

A is a positive integer

B and C are integers

we have

y=(4/3)x

Multiply by 3 both sides

3y=4x

Solution:

Given;

Rewrite the expression using;

Thus;

Then;

CORRECT OPTION: D

The equation from the box obtained is

We can calculate the area of the shaded region as the difference between the area of the rectangle (sides 12 cm and 10 cm) and the area of the triangle in the corner.

The triangle has base of b=12-8=4 cm and height h=10-6=4 cm.

Then, we can calculate the area of the shaded area as:

Answer: 112 cm^2

We have the following:

The formula is the following

From what the statement tells us, the value of d is equal to 20, now we replace and solving for P / Po

Therefore, the sound of the horn is about 100 more intense than the weakest sound heard to the human ear.

To obtain the amount of paper that would most likely be collected in 10 weeks, the following steps are necessary:

Step 1: Select two points that lie on the straight line and use the two points to derive the equation of the straight line, as follows:

Such two points could be: (x1, y1) = (0, 30) and (x2, y2) = (120, 3)

Using the following formula, we can derive the equation of the straight line:

Thus:

The above equation can be re-written as:

Step 2: Use the derived equation to obtain the value of the amount of paper collected in 10 weeks, as follows:

In 10 weeks, we will have :

Therefore, the amount of paper that would most likely be collected in 10 weeks is 330

HK = KJ

So:

u+64 = 5u

Solve for u

Combine like terms:

64 = 5u-u

64= 4u

Divide both sides by 4

64/4 =4u/4

16 = u

Number of units: 7

Direction: left of the x coordinate

Given:

Parallelogram ABCD was translated to parallelogram AB'C'D'

To find:

the number of units and in which direction were the x-coordinates of parallelogram ABCD moved

To determine the number of units, we will use the diagram below:

From A to A', B to B', C to C' and D to D', the number of units for the movement in the x coordinate is 7. The vertical position didn't change. This means to movement in the coordinate.

The parallelogram ABCD was moved to the left of the x axis to get parallelogram A'B'C'D'

Number of units: 7

Direction: left of the x coordinate

7 units to the left

The totem pole with its shadow form a right triangle, and the same happens with the man and its shadow. Since it happens at the same time of the day, the "inclination" of the sunlight is the same for both, and those two triangles are similar, which means that their corresponding ratiso betweens sides are the same.

Using the hint given on the problem, we can estabilish the following equation for the height of the totem(let's call it h).

Now, we just need to solve for h.

The height of the totem pole is 90 ft.

Ok the length of AB is given by the equation:

If x=8 then we simply have to replace this value in the equation:

And that's the length of segment AB.

The expression is:

We need to use a factor tree to solve the problem. We will draw it as shown below:

According to the factor tree we can represent the 98 as:

We can now remove the terms that have a power of 2 and a power of 12. For that we need to divide the exponents by 2.

The simplified expression is 7*sqrt(2)*m^6.

In order to have parallel lines, the slopes of the lines need to be the same.

In order to check the slope for each option, let's put the equations in the slope-intercept form:

Where m is the slope and b is the y-intercept.

So we have that:

A.

B.

C.

D.

So the only option with a line with a slope of -3 is Option A.

Let

x be the speed of the slower train

x + 21 be the speed of the faster train

They meet in 6 hours which means that their speed is

The sum of their therefore is

To begin with, let us look at a few definitions that will help

A relation is a function if each x-value is paired with exactly one y-value. A vertical line test on a graph can be used to determine whether a relation is a function.

If we use a graph to check, we will have

We can see that there is no overlapping of coordinates. The table satisfies the vertical line test.

Hence, it is a function

The domain and range of function is the set of all possible inputs and outputs of a function respectively. The domain and range of a function y = f(x) is given as domain= {x ,x∈R }, range= {f(x), x∈Domain}.

The domain of the function, D is given by

The range, R is given by

You have the following stament:

The product of 8 and a number increased by 17​

In order to write the previous statment in an algebraic way, you take into account that "the product of 8 and a number" means the multiplication of 8 and a variable, which is "increased" by 17. That is, number 8 is multiplying the sum of a variable and 17.

Thus, you have:

The product of 8 and a number increased by 17​:

8(x + 17)

Answer:

-5x-4

Step-by-step explanation:

4(1-3x)+7x-8

Distribute the 4

4(1)+4(-3x)+7x-8

4-12x+7x-8

Combine like terms

-12x+7x+4-8

-5x-4

hopes this helps please mark brainliest

Given the table:

Outcome Probability

1 0.2

2 0.6

3 0.2

Let A be the event "the outcome less than or equal to 2.

Let B be the event "the outcome is a divisor of 3.

Let's find P(A ∩ B).

To find P(A ∩ B) let's first find P(A) and P(B).

Numbers less than or equal to 2 = 2 and 1

Outcomes less than or equal to 2 = P(2) or P(1)

Probability the outcome is less than or equal to 2 = P(A) = 0.2 + 0.6 = 0.8

Divisor of 3 = 1 and 3

Outcome is a divisor of 3 = P(1) and P(3)

Probability the outcome is a divisor of 3 = P(B) = 0.2 x 0.2 = 0.04

To find P(A ∩ B), we have:

P(A ∩ B) = P(A) x P(B) = 0.04 x 0.8 = 0.032

ANSWER:

0.032

We need to find the value of 5 to the third power, to do this let's remember that the third power of a number means multiplying this number three times by itself, that is:

The answer is 125

Follow the function we have that

So H(1) = 80 feet. Now

So H(2) = 128 feet. Now

So H(4) = 128 feet. Now

So H(5) = 80 feet.

A right triangle is made where the two legs are 9 ft (a) and 5 ft (b), and we have to find the hypotenuse (c). Using Pythagorean Theorem:

c² = a² + b²

c² = 9² + 5²

c² = 81 + 25

c = √106

c ≈ 10.3 ft

Given random numbers, it is important to remember that Random Numbers are defined as those numbers that each have the same probability of being selected.

In Statistics, random numbers are useful to model different real-world situations.

An example of random numbers is the numbers of a lottery.

Another example of random numbers is the numbers obtained by rolling a numbered dice.

Hence, the answer is: Option C.

The formula to find the principal is:

Where

FV is future value

P is principal

i is the rate of interest

n is the time frame

Given,

FV = 1300

i = r = 4%, or 4/100 = 0.04

n = t = 3

Plugging into formula and solving gives us:

Rounding to 2 decimal places:

$1155.70

Amanda and Sydney are hosting a graduation party for 40 guests.

Also, they have 45 drop-in guests (each of these will count as half a guest).

Then, the total number of guests is:

The table shows the recommended amounts of food for 25 party guests:

Fried Chicken: 24 pieces

Deli meats: 4 1/3 pounds

Lasagna: 10 3/4 pounds.

Let's find the proportion for 125/2 guests:

a. Fried chicken:

Then, they'll need to order 60 units of fried chicken for the party.

b. Deli meats:

Start by converting the mixed number 4 1/3 into a fraction:

Now, apply proportions:

You also can convert this fraction into a mixed number:

Then, they'll need to order 10 5/6 pounds of deli meats for the party.

c. Lasagna

Convert the mixed number to fraction:

Apply proportions:

You also can convert this fraction into a mixed number:

Then, they'll need to order 26 7/8 pounds of lasagna for the party.

tan (theta) = 5/6 and cos theta < 0

tan (theta) = 5/6 ==> theta = tan^-1(5/6) = 39.80557109

theta = 39.80557109

cos(theta) = cos(39.80557109) = 0.7682212796

It says that cos(theta) < 0, so the 39.80557109 degrees is in rality an angle of 90 + 39.80557109 = 120.80557109

sin (theta) = sin (120.80557109) = 0.858910105

cos(theta) = cos(120.80557109) = −0.5121263824

tan(theta) = tan(120.80557109) = −1.677144811

sec(theta) = sec(120.80557109) = −1.952643008

csc(theta) = csc(120.80557109) = 1.164266195

cot(theta) = cot(120.80557109) = −0.5962514348

We have the following diagram for a rectangular pyramid:

Where:

• h is the height of the pyramid,

• s is the slant height, the height of the sides.

The area of the sides (without the base) of the pyramid is given by:

Where p is the perimeter of the base.

We have a rectangular pyramid with:

• base with sides a = 320 ft and b = 200 ft,

• slant height (heigh of the sides ) s = 140 ft.

The perimeter of the base is:

Replacing the value of p and s in the formula of the area we get:

Answer

It was needed 72800 ft² of glass.

Answer:

12 feet

Explanation:

The diagram representing the problem is attached below:

The distance of the pole to the base of the string is the value x.

Using Pythagoras Theorem:

The end of the string should be anchored 12 ft from the base of the pole.

We have to relate a linear function (the regression model) with its equation.

We can see in the graph that the y-intercept, the value of y(0), is b=5.

Then, we can estimate the slope with the known points (0,5) and (2,8):

Then, with slope m=1.5 and b=5, the regression model equation should be:

We can estimate the mood for students that spent 2.5 hours playing sports by replacing x with 2.5 in the model and calculate y:

NOTE: we could also have look on the graph instead of doing the calculation.

Answer: B) y=1.5x+5

The estimation of the mood for a student that spent 2.5 hours playing sports is 8.75.

9) We can calculate the volume as the product of the base area and the height.

The base is a circle with radius r=18 in. Then, its area is:

Then, we can calculate the volume V as:

10) In this case the circular base is on the side, but we can still use the same principle to calculate the volume.

The area of the base with diameter D = 11 in is:

Then, we can calculate the volume V as:

Answer:

9) V = 4860π

10) V = 635.25π