Will a truck that is 14 feet wide carrying a load that reaches 12 feet above the ground clear the semielliptical arch on the one-way road that passes under the bridge shown in the figure on the right?

The area of a rectangle can be calculated as the height times the wide.

But be careful, the problem asks it in square meters! So let's use meters instead of centimeters.

Remember that : 1 m = 100 cm ----> 1 cm = 0.01 m

Doing the multiplication

Therefore the area of the poster is 0.016 square meters

If Kevin were to randomly select a boy from this table, this means that we need to add up the total number of boys in this sample in order to find the denominator of the fraction we are dealing with.

Let's add the number of boys up:

Now, the probability that a randomly selected boy likes History is the number of boys who said they like History divided by the total number of boys.

We already have the total number of boys, so now we need to find the number of boys who said they like History, which is 18 based off of the table.

The probability that Kevin will pick a boy who likes History is C) 35.3%.

Solution

Domain

Range

The store's cost is php40

Let's call the store Cost = C

This means that this cost is elevated a 150% in order to get the price of php60

In an mathematical expression, this is:

C · 150% = php60

Then, let's convert the percentage to decimal. To do this, we just divide the percentage by 100:

150% ÷ 100 = 1.5

Now we can solve:

Then the store cost is C = php40

Distance = rate x time

Gloria = X mph

Doug = 5X mph

Where X is the rate of speed

And we have that they are 858 miles apart after 6.5 hours

6.5 X + 5( 6.5 X) = 858 mph

6.5X + 32,4X= 858 mph

39X = 858mph

X = (858mph)/39 = 22

5X = 110

So Gloria is traveling at 22 mph and Doug is traveling at 110 mph. This meand that Gloria rate of speed is 22 and Doug is 110

The line that describes this relationship goes from (0,0) to the point (6,11),we can draw it like this:

Given:

To express it as a function of reference angle:

Since the angle lies in the fourth quadrant.

So, the reference angle will be,

Therefore, the function of the reference angle is,

Solution;

To the describe the error on the graph;

The graph is supposed to pass through point(1/3, -1).

Given the expression

To solve it for x, the first step is to calculate the term in parentheses, for this you have to apply the distributive property of multiplication.

Next order the alike terms toghether and calculate:

Subtract 20 to both sides of the equation:

And finally divide by 2 to reach the value of x:

For this equation x=4

Answer:

(5.55 * 10^4) - (3.41 * 10^4)

=21,400

(9 * 10^7) divided (3 * 10^3)

= 30,000

Step-by-step explanation:

(5.55 * 10^4) - (3.41 * 10^4)

= (5.55 * 10,000) - (3.41 * 10,000)

= 55,500 - 34,100

= 21,400

(9 * 10^7) divided (3 * 10^3)

= (9 * 10,000,000) ÷ (3 * 1,000)

= 90,000,000 ÷ 3,000

= 30,000

Sorry but i don't understand the "(7x10^1(4x10^7". Your question is invalid.

to facilitate the exercise we will draw the triangle

We start using the area

where A is the area, b the base and h the height

if we replace A=2312 and b=96 we can calculate the height(h)

now to calculate the measure of the angles we can solve the red triangle

first we find Y using trigonometric ratio of the sine

where alpha is the reference angle, O the opposite side from the angle and H the hypotenuse of the triangle

using Y like reference angle and replacing

simplify

and solve for y

value of angle y is 31.2°

Y and X are complementary because make a right line then if we add both numbers the solution is 180°

and solve for x

measure of the included angle is 148.8°

Distributing over parentheses,

Adding r at both sides,

Adding 3 at both sides,

Dividing by -17 at both sides,

we have the coordinates

(-11,-8)

(-11,0)

(0,0)

(0,-8)

step 1

plot the give points

using a graphing tool

see the attached figure below

The figure is a rectangle

where

L=0-(-11)=11 units (subtract x-coordinates)

W=0-(-8)=8 units (subtract y-coordinates)

step 2

Find out the area

A=L*W

A=11*8=88 unit2

step 3

Find out the perimeter

P=2(L+W)

P=2(11+8)

P=2(19)=38 units

First we need to factorate the number 40:

The possible numbers we can create using these factors are 2, 4, 5, 8, 10 and 20.

So If the product of the two factors (let's call them 'a' and 'b') is 40 and the sum is 14, we have:

Using the quadratic formula to solve this equation, we have:

So the factors which product is 40 and the sum is 14 are 4 and 10.

Step-by-step explanation:

The number of commercial orbital is 14, and the number of noncommercial orbital is 30.

When numbers and quantities are represented in formulas and equations by letters and other universal symbols.

Given that,

The total number of commercial and noncommercial orbital launches worldwide = 44

Also, the number of noncommercial orbital is two more than twice of commercial orbital

Let the number of commercial orbital =x

Then number of noncommercial orbital = 2x+2

Since, total number of commercial and noncommercial orbital = 44

x + 2x +2 = 44

3x = 42

x = 14

The number of commercial orbital = x = 14

The number of noncommercial orbital = 2x+2 = 2×14+2 = 30

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The coordinates of point A are (-2,3). A reflection across the y-axis is given by:

Applying this rule to point A we have:

Therefore, the image of point A is (2,3) and the correct option is B.

Step 1:

Step 2:

Write the corresponding sides of the similar triangle

Next

Cross multiply

Final answer

PQ ? = 117

Explanation:

The slope of the altitude drawn to side DN is the reciprocal and opposite to the slope of side DN, because the altitude is perpendicular to the side.

First we have to find the slope of side DN. The formula for the slope of a line with points (x1, y1) and (x2, y2) is:

In this problem the points are D(-6, -1) and N(-3, 10). The slope of side DN is:

Therefore the slope of the altitude is:

Answer:

The slope of the altitude is -3/11

We are given the equation y = 0.5x^2. To describe its transformation from (x, y) to (x, 4y), we can start by first graphing the given equation.

To graph, let's use sample points (x- and y-values):

x y

-2 2

-1 0.5

0 0

1 0.5

2 2

So we have the points (-2, 2), (-1, 0.5), (0, 0), (1, 0.5), and (2, 2) to help us graph the equation.

A transformation of (x, y) --> (x, ay) where a > 1 means a vertical stretch equal to |a|. In this case, because (x, y) is transformed to (x, 4y), the graph stretches vertically by a factor of 4.

To graph, let's use sample points (x- and y-values):

x y

-2 4(2) = 8

-1 4(0.5) = 2

0 4(0) = 0

1 4(0.5) = 2

2 4(2) = 8

The new graph would now look like this:

For an initial ammount borrowed I, an term of the loan t, and an annual interest rate r, the simple interest S due on the loan is given by:

For I = $12000, r = 0.065 and t = 150 days, we have:

Step 1:

Write the expression

Step 2:

a)

Step 3:

b) simplified terms of the expression

Next, substitute in the expression

The true statements are,

f(x) > 0 over the interval (1, ∞)

f(x) ≤ 0 over the interval (-∞, 1]

Interval of a function:

If the value of the function f (x) rises as the value of x rises, the function interval is said to be positive. Instead, if the value of the function f (x) drops as the value of x increases, the function interval is said to be negative.

If the endpoints are absent from an interval, it is referred to as being open. It's indicated by ( ). Examples are (1, 2), which denotes larger than 1 and less than 2. Any interval that contains all the limit points is said to be closed. The symbol for it is []. For instance, [2, 5] denotes a value greater or equal to 2 and lower or equal to 5. If one of an open interval's endpoints is present, it is referred to as a half-open interval.

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1) In this question, let's find the equation, using the point-slope formula:

2) Notice that since we want a perpendicular line we can write a perpendicular line to y=2, as x=-1/2 for -1/2 is the opposite and reciprocal to 2 (the necessary condition to get a perpendicular line).

So, the slope of that perpendicular line is -1/2

3) Let's plug into that Point-Slope formula, the slope m= -1/2 and the point:

4) Thus, the answer is:

For any line passing through the points (x1,y1) and (x2,y2), its slope is given by:

a = (y2 - y1)/(x2 - x1)

And its intercept is given by:

b = y1 - ax1 = y2 - ax2

And the equation of this line, in the slope-intercept form, is y = ax + b

Then, for a line passing through the points (3,4) and (-6,5), we have:

a = (5 - 4)/(-6 - 3) = -1/9

Then, the intercept is:

b = 4 + 3/9 = 13/3

Therefore, the equation of the line is given by:

y = -x/9 + 13/3

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

8x² - x - 9 = (x + 1) ( ? )

Step 02:

We must find the missing root to solve the exercise.

x1 = - 1

x2 :

a = 8

b = -1

c = -9

x2 = 9 / 8

The answer is:

( x - 9/8)

8x² - x - 9 = (x + 1) ( x - 9/8 )

We can plot all that happened in the next graph:

This is the graph showing the inches of the snow on the ground over time using the data that Grayson collected.

we have

Z1=0

Z2=-2.18

so

using the z-scores table values

a) A'(8,7), B' (10, -6) and C' (2,-3)

b) A" (-4,-5) B" (-6,8) C" (2,5)

1) Examining the graph, we can locate the following points of ABC

To reflect across line x=2 let's count to the left the same distance from x=2

Pre-image Reflection in the line x=2

A (-4, 7) (x+8, y) A'(8,7)

B (-6,-6) (x+16, y) B' (10, -6)

C (2,-3) (x,y) C' (2,-3) Remains the same since C is on x=2

b) A reflection about the line y=1 similarly we'll count the distances and then write new points over the line y=1.

So the Image of this is going to be

Pre-image Reflection in the line x=2

A (-4, 7) (x, y-12) A" (-4,-5)

B (-6,-6) (x, y) B" (-6, 8)

C (2,-3) (x,y) C' (2,5)

A" (-4,-5)

B" (-6,8)

C" (2,5)

In order to calculate the minimum and maximum usual values, first let's calculate the mean and standard deviation of this distribution:

Now, calculating the minimum and maximum usual values, we have:

Since the given result is 55, it is an unusual reslt, because it is less tahan the minimum usual value.

Correct option: third one.