Solve for m 18 = -6m

the length of the floor clearance is 2.8 m

as we have 2 similar triangles ( ABC and AED) we can set a proportion

Step 1

a)let

so

for triangle ABC ( divide the given measure by 100 to obtain meters)

and

for triangle AED

let

Step 2

as the ratio is the same, set the proportion

therefore, the length of the floor clearance is 2.8 m

I hope this helps you

Answer:

2 13/40 feet or 2.325 ft

Explanation:

The length of the plank = 8⅕ feet

To determine many feet should be cut off, subtract 5⅞ feet from 8⅕ feet.

Step 1: Convert both fractions to improper fractions.

Step 2: Find the lowest common multiple of the denominators 8 and 5.

2 13/40 feet of the plank should be cut off.

Answer

64 < 2g

Explanation

Let Greg's height be g

We need to express in equation form,

64 less than twice Greg's height

Greg's height = g

Twice Greg's height = 2g

64 less than twice Greg's height = 64 < 2g

Hope this Helps!!!

SOLUTION

From the truth-table of logic, (p or q) is true either if:

- p is true and q is false

- q is true and p is false

- both p is true and q is true.

Hence these 3 statements must p satisfied for (p or q) to be true.

So, looking at the options, B, C and D are correct

Hence the answer is B, C and D

To know how much time has elapsed from 3:00 A.M. to 7:14 A.M., we subtract the hours with the hours and the minutes with the minutes,

So, the time that has elapsed is 4 hours 14 minutes.

x = 50º

x +30º = 80º

2x = 100º

1) Since in any triangle the Sum of the interior angles is equal to 180º, we can write for this triangle:

x + 2x + x +30 = 180º Combine like terms

3x +30 = 180 Subtract 30 from both sides

3x = 150

x = 150/3

x= 50

2) So the angles are:

x = 50º

x +30º = 80º

2x = 100º

3) And the answer is 50º, 80º, and 100º

The area is 115

the polynomial must be even, so we chose x²

it has at least 2 terms, then we add 1 to the previous item, we get: x² + 1

to get outputs larger and larger in the negative direction, we have to multiply the previous item by -1 to get: -x² - 1

This function has a graph like the next one:

Then, -x² - 1 satisfies all the features needed

The new salaries of Airline pilots is $122500.

Given that the current salary of a Airline pilot is $125000.

They are asked 2% cut in their salaries.

So the cut amount is = 125000*(2/100) = $2500

Hence their new salaries will be = $125000-$2500 = $122500.

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EXPLANATION

Since Brian drives at a constant speed, in order to get the rate, we need to compute the slope, by applying the slope equation, as shown as follows:

Where (x_1,y_1)=(20,100) (x_2,y_2)= (50,140)

Plugging in the terms into the slope equation:

In conclusion, the distance will increase by 4 miles per hour.

A fraction in simplest form is  1/81.

[tex]\left(\frac{1}{3}\right)^4[/tex]

Apply exponent rule: [tex]$\left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}$[/tex]

[tex]=\frac{1^4}{3^4}[/tex]

[tex]$$\begin{aligned}&1^4=1 \\&=\frac{1}{3^4}\end{aligned}$$[/tex]

[tex]$$\begin{aligned}&3^4=81 \\&=\frac{1}{81}\end{aligned}$$[/tex]

A fraction is a portion of a larger total. The number is expressed in arithmetic as a quotient, which is the numerator divided by the denominator. Both are integers in a simple fraction. A complicated fraction contains a fraction in either the numerator or the denominator. A suitable fraction has a numerator that is less than the denominator.

In mathematics, a fraction is defined as a portion of the whole. If a pizza is cut into four equal pieces, each slice is represented by 14. Fractions make it easier to distribute and judge numbers and speed up calculations.

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ANSWER

EXPLANATION

We want to find the slope of the given line:

First, put the line in the slope-intercept form:

where m = slope; b = y-intercept

Therefore, we have that:

From the equation above, we see that the slope of the line is:

We can use the graph to find the percentage of the value that correspond to a 5-year-old car in respect to its original value.

For a car that is 5 years old, its value is 20% of the original value.

If the original value is $16,995, we can calculate its actual value multypling its original price by the proportion of value that we have taken from the graph:

Answer: the current market value is $3,399.

A line passes through (5,3) with a slope of 3/5,

where m = slope

Therefore the points for the graph are:

how to solve y=2x+3

y=2x+1​

In this problem, we have two parallel lines with different y-intercept, ( two different parallel lines) so the lines don't intersect

That means------> the system has no solution

Using a graphing tool

see the attached figure

please wait a minute

Remember that, when solving a system by graphing, the solution is the intersection point. in this problem, the system has no solution , because the lines don't intersect

The answer is YES

Because their three sides are of equal lenght

Let's calculate his velocity:

v = d/t

v = 100m/9.63s = 10.38m/s

The speed limit of the road is 25mi/h

Let's make a conversion:

Therefore, we can conclude, that the speed limit is greater than the velocity of Usain Bolt, since:

11.18m/s > 10.38m/s

Explanation

We are told to find the midpoint of the line segment. To do so, we will use the formula:

In our case

Substituting the values above

Thus, the midpoint is (6,1)

Options C and D satisfy the given condition

The function is defined as an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given condition f(-x) = f(x)

Now to find which option satisfies the condition

So we can go through from the options to simply this

If f(x) = root x

= -root x

If f(x) = 2x

= -2x

If f(x) = x2

= x2

If f(x ) = x2

= x2

If f(x ) 2x

= 2-x

Therefore options C and D satisfy the given condition

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Answer:= 2-x

Step-by-step explanation:

A transformation is nonrigid transformation if it does not preserve the structure of the original object.

An example of a nonrigid transformation is the dilation, and its general rule is:

where 'k' is the scale factor

The answer will be 9.562m² using a triangle.

What is are of triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

The perimeter will be P = sum of all three side.

s = p/2 = 9.5

Side a = 9 meters, b=4 meters, c = 6 meters

A = [tex]\sqrt{(s)(s-a)(s-b)(s-c)}\\=\sqrt{(9.5)(9.5-9)(9.5-4)(9.5-6)}\\[/tex]

A = 9.562m²

Hence the Area of the triangle is 9.562m².

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Given the cost of the room 85000.

Rate of interest 12%

time =5 months=5/12 year

IN 5 months he will pay as interest

In total, he will pay

The expression 5a + 3c can be used to find the cost of a adults and c children to attend the school play, so we have a expression as a function of the number of adults a and the number of children c. Therefore:

What is the cost of 4 adults and 9 children to attend the school play?​

$47

Given

Therefore, the average rate of return under continous compounding is approximately 8.9%.

Answer:

123(8)67/#;#--#442627!* aopqppwiue

using,

RS/ST = WV/VT

Where,

RS = 24

ST = 2x + 11

WV

12 times a number g ​means that the coefficient 12 is multiplying the variable g, just as follow:

12g

The length of an arc subtended by a central angle and 2 radii is

Where:

r is the radius

Cita is the central angle in radian

Since the radius of the circle is 8 inches, then

Since the arc is subtended by a central angle of 135 degrees, then

Substitute them in the rule above

The length of the arc is 6pi

We will find it in 2 decimal places

The length of the arc is 18.85 inches