A 50-foot flagpole casts a shadow that is 30 feet long. A nearby building casts a shadow 130 feet long. What is the height, to the nearest foot, of the building?

Answer: translation, congruent.

Explanation

• A dilation is an expansion o reduction of a figure.

• A reflection is the image of a figure in a mirror.

• A rotation is a circular movement around an axis or rotation.

• A translation is moving a figure to a certain distance.

Based on this definitions, we can see that our figure A'B'C'D' describes a translation.

if she walked 2 miles in 35 minutes, in 10 minutes she walks:

Solution

For this case we can do the following:

And we can multiply and we got:

and if we simplify we got:

As given by the question

There are given that the equation of current graph:

Now,

According to the question,

There are also given that graph left 4 units, that means

Then,

Vertical stretching it by a factor of 5 units

So,

The equation will be:

Then,

And, shifting the graph down 8 units

So,

Hence, the correct option is D

Answer:

13 rows, 18 musicians per row

Step-by-step explanation:

Because there are in between 10 and 15 rows, I divided 234 (the total amount of musicians, 113+121) by all number in between 10 and 15: 10, 11, 12, 13, 14, and 15. Because the problem states that they were equally divided into, and you cant split a person into multiple parts, the answer logically must be a whole number. 234/ 13 rows equated to a whole number, or 18, the amount of musicians in each row.

The reciprocal of a number is the result obtained when 1 is divided by the number

Hence the reciprocal of -3.4 is

= 1/-3.4

= -1/3.4

= -0.2941

we have the equation

7(x-6)=-14

solve for x

that means -----> isolate the variable x

step 1

Divide both sides by 7

7(x-6)/7=-14/7

simplify

x-6=-2

step 2

Adds 6 both sides

x-6+6=-2+6

Solution

For this case we can find the area in the following way:

A= B*h

B= 2.8m represent the base

h= 1.2m represent the height

Replacing we got:

A= 2.8*1.2m = 3.36 m^2

Given:

The quadratic equation is:

To solve the equation

we have its roots as:

According to our question, we have a= 25 b= 20 c= - 59

Thus,

Hence, x= 1.18745 , 1.98745

Answer:

add 7 to 31 thats 38 and thats what x equals

Step-by-step explanation:

Here, we want to get an inequality from the given statement

We take it one step at a time;

9 subtracted from b;

Is less than or equal to -21

We have this as;

Given:-

Cost of sweaters is $20.94

Cost of pair of jeans is $17.83

Cost of three pair of shoes is $24.32

To find:-

The total cost of the bill with 6.5% sales tax.

Cost of two sweater is,

Cost of one pair of jeans is,

Cost of three pairs of shoes is,

To find the total cost we need to add all the three cost. so we get,

Now we find the 6.5% of 132.67. we get,

Now we add,

10 times smaller

To find out how How many times smaller is the value of the 3 in 53,075

Let's check by rewriting it in the expanded form both numbers

53,075 = 50000 +3,000 + 75

38,499=30,000 + 8000 + 499

As we can see in 53075 the 3 is 10 times smaller since 3000 is 10 times smaller than 30,000 in 38,499

10 times smaller

A reflection over diagonal RT

1) Considering that we're dealing with reflection symmetry and the Parallelogram QRST.

(In red the axis of symmetry)

2) So we can reflect that quadrilateral QRST onto itself by those two red lines of symmetry, its line half of that figure is mirrored across.

3) Hence, examining the answers, we can state that the answer is

A reflection over diagonal RT

This problem describes two parts of a trip, on the first day the trip was 468 miles long, and on the second day, it was 434 miles long. We need to calculate how far from the destination the driver is from their destiny after the second day, knowing that the whole trip is 1373 miles long.

The first step we need to take, is to round the distances for each day to the nearest ten, this is done below:

Now we need to subtract the distances for each day from the total distance:

The driver needs to drive approximately 470 miles to complete the trip.

Given:

Principal amount, P = $3,072

Time, t = 8 years

Final Amount, A = $5,378.07

To find the interest rate since it is compounded continuously, take the compound interest formula below:

Diane purchased 7 pens

Cost of one pen = 60 cents = 60/100 = $0.60

Cost of one pencil = 40 cents =40/100 = $0.40

let the number of pens bought = x

let the number of pencils bought = y

combining both equatons:

x + y = 17 ....equation 1

0.6x + 0.4y = 8.2 ...equation 2

using substitution method:

let's make x the subject of formula

from equation 1:

x = 17 - y ....equation 3

substitute for x in equation 2:

0.6(17 - y) + 0.4y = 8.2

10.2 - 0.6y + 0.4y = 8.2

collect like terms:

10.2 - 0.2y = 8.2

10.2 - 8.2 = 0.2y

2 = 0.2y

y = 2/0.2

y = 10

substitute for y in equation 1:

x + 10 = 17

x = 17 - 10

x = 7

x = number of pens = 7

Hence, Diane purchased 7 pens

Given

To use Sarrus we must copy the first two columns

And the determinant will be

Doing the simplification

Therefore, the determinant is -633.

Angela's Gross Income (per month) = $2800

Her tax rate is 18%.

Let's find 18% of 2800:

Angela pays $504 in taxes.

Thus, she will have left:

2800 - 504 = $2296

Given:

2x + 8 < 5x - 4.

Required:

To tell which option is correct

Explanation:

First of all rearrange the equation and subtract what is on rigjt side we get

2x+8-(5x-4)<0

pull out like factors

-3x+12=-3(x-4)

divide both side by 3

remember to flip the inequality sign

solve basic inequality and we get

x>4

Require

As given by the question

There are given that the inequality:

Now,

Add 3 on both sides of the inequality

So,

Then,

Subtract 2x from both sides of the above inequality.

Then,

Divide both sides by 3

So,

Hence, the value of the given inequality is, x < 3.

Let's determine the solution using the method of Substitution.

Equation 1:

x - y = 2

-y = -x + 2

(-y = -x + 2)/-1

y = x - 2 (Substitue to the second equation)

6x - 5y = 16

6x - 5(x - 2) = 16

6x - 5x + 10 = 16

x = 16 - 10

x = 6 (Substitute to the 1st equation)

y = x - 2

y = 6 - 2

y = 4

Therefore, the solution is x, y = 6, 4

Given the exponential function:

Where P models the population size after t hours. The initial population size can be obtained using t = 0:

The initial population size is 1800.

Now, since the term inside the parentheses is greater than 1, we can conclude that this function represents a growth tendency.

Finally, we can take the ratio between the population size at time t and at time t+1:

In percent form, the change is 3%

To answer this question, we have that the standard deviation is the

Intersection of Lines

The image shows two lines, f(x) in blue and g(x) in red.

The lines intercept at one point (-3, -4).

This means that f(-3) = -4 and g(-3) = -4, therefore:

f(-3) = g(-3)

Since we have that the distance from the Sun to Mercury is 3.6*10^7 and the distance from the sun to Proxima Centauri is 5.9*10^12, we proceed as follows:

From this, we have that the distance from the Sun to Proxima Centauri is about 163889 times greater than that from the Sun to Mercury.

We must solve for h the following equation:

(1) We divide both sides by 2:

(2) We pass the term lw on the left side as -lw on the right side:

(3) We take h as a common factor on the left:

(4) Finally, we divide both sides by (l + w):

1) The volume of a cylinder is given by a formula. This one down here:

2) Note that the Diameter is twice the radius, therefore it is safe to say that the radius is 1.5"

3) So we can plug these data into the formula this way:

The line graphed is the line:

A reflection over this line is a special case where each pre-image point (x,y) is transformed as follows:

So, first, le's identify each vertex:

Now, we apply the transformation on each.

Now, we plot these image points:

To determine whether (x + 3) is a factor, let's equate it to zero and solve for x.

So, let's assume that x = -3. If f(x) = 0 at x = - 3, then (x + 3) is a factor of the polynomial. Let's check.

Replace "x" in the polynomial by -3.

Then, simplify.

Since f(x) = 0 when x = -3, then yes, (x + 3) is a factor of the polynomial.

Answer:

f(-3) = 0; yes, the binomial (x + 3) is a factor of the polynomial. (Option 2)