Calculate the area of the trapezoid.
12 mm
5 mm
9 mm
________square millimeters
Answer:
52.5 square millimeters.
Step-by-step explanation:
Area of a Trapezoid = (a+b/2)h
= (9+12/2)•5
=(21/2) • 5
= 10.5 • 5
= 52.5 square millimeters
hope this helps!
Answer:
52.5 mm^2 (square millimeters)
Step-by-step explanation:
Just split the figure into two sections to make a rectangle, and a right triangle (This whole figure can be thought of as a composite figure)
Once that is done, you will notice that the length and width of the rectangle is 9mm by 5mm, and the triangle is 3mm by 5mm (because 12mm - 9mm is 3 mm, and the height of the triangle is shared with the width of the rectangle).
The area of a triangle is 1/2(base×height) [just as a triangle is half of a rectangle], so the area of the rectangle is (length × width).
Therefore the 9mm by 5mm rectangle has an area of 9×5 mm = 45 mm^2, and the 3mm by 5mm triangle has an area of 1/2(5×3) = 15/2 = 7.5 mm^2.
Add both areas to find the total area:
45mm^2 + 7.5mm^2 = 52.5 mm^2.
____________________________
Or using the formula for the area of a trapezoid: A = h (b1 + b2) / 2
Where A is the area, b1 is the first base, b2 is the second base, and h is the height of the figure.
Given that our first base is 9, second base is 12, and our height is 5.
A = h ( b1 + b2 ) / 2 → A = 5 ( 9 + 12 ) / 2 → 5 ( 21 ) / 2 → 105 / 2 → 52.5
Then just put this quantity in mm^2 because it is the area of the figure in that unit.
→ 52.5 mm^2
_____________________________
The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y– 3 = {(x - 1). What is
the slope-intercept form of the equation for this line?
O y= {x+ 2
O y={x-4
oyufx &
O y=2x-Ź
Answer:
Step-by-step explanation:
The answers is A
I really need help real quick !
Can you conclude that the following is a rhombus, rectangle, or square?
A parallelogram has two pairs of adjacent sides that are congruent.
The mentioned parallelogram is a rhombus.
What is Parallelogram?A parallelogram is defined as a special type of quadrilateral which has both pairs of opposite sides parallel and equal.
A parallelogram is a square and a rhombus is a square.
However, not all parallelograms are rhombuses, and not all rhombuses are squares.
A parallelogram has two pairs of adjacent sides that are congruent.
The adjacent sides of a parallelogram must be equal, and the angles formed by the four sides must be 90 degrees for a rhombus to be a square.
We are aware that the adjacent sides are equal in the context of the statement, but we are unsure of whether or not the angle formed by the sides is 90 degrees.
Hence, the mentioned parallelogram is a rhombus, which we can state with certainty, but it may or may not be a square.
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How do you Subtract 9x^2 + 22x - 46 from 12x^2 - 8x + 12.
Subtract the [tex]x^2[/tex] terms from each other, then the [tex]x[/tex] terms, then the ones without any [tex]x[/tex] whatsoever.
[tex](12x^2 - 8x + 12) - (9x^2 +22x-46)[/tex]
First, we'll subtract [tex]9x^2[/tex] from [tex]12x^2[/tex]
[tex]12x^2-9x^2- = 3x^2[/tex]
Result: [tex]3x^2[/tex]
Next, we'll subtract [tex]22x[/tex] from [tex]-8x[/tex]
[tex]-8x - 22x = -30x[/tex]
Result: [tex]-30x[/tex]
Finally, we'll subtract [tex]-46[/tex] from [tex]12[/tex]
[tex]12-(-46) = 12+46 = 58[/tex]
Result: [tex]58[/tex]
Now, we can add these 3 results together.
First, we had [tex]3x^2[/tex], then [tex]-30x[/tex], and finally [tex]58[/tex].
Thus, our subtraction of
[tex](12x^2 - 8x + 12) - (9x^2 +22x-46)[/tex]
equals
[tex]3x^2-30x+58[/tex]
searching online for airline tickets. Two weeks ago, the cost to fly from to was $210. Now the cost is $355. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
Answer:ggStep-by-step explanation:
Answer:
192%
Step-by-step explanation:
355+50=405
405•100/210=192.857%
increse of 192.857%
Kayla rented a boat. There was a one-time charge of $100 plus an hourly rate of $45. Her total cost for the day was $370. Which equation, when solved for x, gives the number of hours she rented the boat?
45x – 100 = 370
45x + 370 = 100
45x + 100 = 370
45x – 370 = 100
Explain how you got the answer please
Evaluate the variable expression when a = 5, b = 5, and c = -4.
Bc divided by (2a)
Answer:
-2
Step-by-step explanation:
Bc÷2a
5×-4÷2×5
-20÷10
-2
The value of the expression bc ÷ 2a will be negative 2.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
A principle that specifies the right procedure to follow while calculating a mathematical equation is known as the activities to be conducted.
PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
The value of the variable expression when a = 5, b = 5, and c = -4.
The expression is given below.
⇒ bc ÷ 2a
Substitute the value of the variable a = 5, b = 5, and c = -4.
⇒ 5 × (-4) ÷ 2 × 5
Simplify the expression, then the value of the expression will be
⇒ - 20 ÷ 10
⇒ - 2
The value of the expression will be negative 2.
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A rectangle has a length of 2x+1 and a width of 3x-2.
Write an expression for the area of the rectangle.
Answer:
(2x+1)x(3x-2)
Step-by-step explanation:
area of rectangle = length * width
length = 2x+1
width = 3x-2
area = (2x+1) x (3x-2)
For the expression 5-5x to have a negative value, what must be true about the value of x?
Answer:
x>1
Step-by-step explanation:
let's make this an inequality.
5-5x<0
let's solve.
-5x<-5
x>1
therefore, the value of x must be larger than 1 for this statement to make sense.
The value of x has to be greater than 1 in order for the expression to make sense.
Commutative property can be expressed as
Answer:
a+b=b+a, where a and b are integers
A box contains three types of fruits:
apples, bananas, and pears. There are
20 pieces of fruit in all. Of these, 3 are
apples and 11 are bananas. What is the
ratio of pears to bananas?
A 6: 11
B 11 : 6
C 3:11
D 11:3
Answer:
A
Step-by-step explanation:
4 Rosie has 150 caramel
apples to sell. Each caramel apple is covered with one topping.
of the caramel apples are covered with peanuts.
are covered with chocolate chips.
• The rest are covered with sprinkles.
How many caramel apples are covered with sprinkles?
F
50
G 80
H 70
J 30
7.3B
Answer:
I'd say 50
Step-by-step explanation:
I just divided 150 by 3 since I only saw 3 toppings.
someone pls help, find the length of the segment
the segment is 4 units long
hope this helps
According to Boyle's Law, if the temperature of a confined gas is held fixed, then the product of the pressure P and the volume V is a constant, suppose that, for a certain gas, PV=800 where P is measured in pounds per square inch and V is measured in cubic inches.
A) Find the average rate of change of P as V increases from 200in^3 to 250in^3.
B) Express V as a function of P and show that the instantaneous rate of change of V with respect to P is inversely proportional to the square of P.
Answer:
I think its B
Step-by-step explanation:
Forgive me if I am wrong, give me brainliest if I am right!
Please help ASAP!!! Will give brainlist!
Answer:
the last 1
Step-by-step explanation:
Julie had $150. She needed to spend $3.00 for lunch every day. How much money will she have left after 20 days? Please help it's hard
Answer:
$90 left after 20 days
Step-by-step explanation:
She starts out with 150, right?
She spends $3 each day x 20 days = 60
150 - 60 = 90
Hope this helps! :')
Answer:
multiply 3.00 times 20 and you'll get 60.00 subtract that from 150 and your answer is 90.00 dollars
everything is in the picture
Answer:
-2
Step-by-step explanation:
We have the graph of [tex]y=f(x)[/tex].
We want to find [tex]f(-6)[/tex].
In other words, what is the value of the graph when [tex]x=-6?[/tex]
We can see that when [tex]x=-6[/tex], our graph [tex]f(x)[/tex] is at the point B(-6, -2).
Therefore, [tex]f(-6)=-2[/tex]
So, our answer is -2.
If jacks age is three years more than twice Trinas age, t, then which of the following represents the sum of their ages in terms of it
1. 2t+3
2. 2t +3t
3. 2t^2+3t
4. 3t+3
What is the answer of 10% of 6340
Answer:
604
Step-by-step explanation:
just simple division pls giv 5 out ogf 5 and thanks
Answer:
634
Step-by-step explanation:
PLEASE HELP! DUE TODAY!
Answer:
D. y=x-10
Step-by-step explanation:
Answer: C
Step-by-step explanation: Subtract X from both sides, you will have
Y= -x+10
Y intercept of y=(x+2)2-1
Answer:
It is -1.
Step-by-step explanation:
To start off y=mx+b is the formula for this type of problem. y and x are variables, m is the slope, and b is the y-intercept. Since you need to identify the y-intercept, all you need to do is look at the end of the equation to find the y-intercept. In this case it is -1, since -1 is b.
Hope that helps!
Answer:
actually the answer is 3
Step-by-step explanation:
the reason it's a nagative is because the one was flipped to the opposite side of the equation flip it to a positive and add it to the 2 right next to it you got three or you could always graph it.
An Airliner has a capacity for 300 passengers. If the company overbook a flight with 320 passengers, What is the probability that it will not be enough seats to accommodate all passengers. Assume that the probability that a randomly selected passenger shows up to the airport is 0.96. Find the probability using the normal distribution as an approximation to the binomial distribution.
Answer:
The probability is [tex]P(X >300 ) = 0.97219 [/tex]
Step-by-step explanation:
From the question we are told that
The capacity of an Airliner is k = 300 passengers
The sample size n = 320 passengers
The probability the a randomly selected passenger shows up on to the airport
[tex]p = 0.96[/tex]
Generally the mean is mathematically represented as
[tex]\mu = n* p[/tex]
=> [tex]\mu = 320 * 0.96[/tex]
=> [tex]\mu = 307.2[/tex]
Generally the standard deviation is
[tex]\sigma = \sqrt{n * p * (1 -p ) }[/tex]
=> [tex]\sigma = \sqrt{320 * 0.96 * (1 -0.96 ) }[/tex]
=> [tex]\sigma =3.50 [/tex]
Applying Normal approximation of binomial distribution
Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as
[tex]P(X > k ) = P( \frac{ X -\mu }{\sigma } > \frac{k - \mu}{\sigma } )[/tex]
Here [tex]\frac{ X -\mu }{\sigma } =Z (The \ standardized \ value \ of \ X )[/tex]
=>[tex]P(X >300 ) = P(Z > \frac{300 - 307.2}{3.50} )[/tex]
Now applying continuity correction we have
[tex]P(X >300 ) = P(Z > \frac{[300+0.5] - 307.2}{3.50} )[/tex]
=> [tex]P(X >300 ) = P(Z > \frac{[300.5] - 307.2}{3.50} )[/tex]
=> [tex]P(X >300 ) = P(Z > -1.914 )[/tex]
From the z-table
[tex]P(Z > -1.914 ) = 0.97219[/tex]
So
[tex]P(X >300 ) = 0.97219 [/tex]
4p+2q=62
8p−q=59
Multiply 4p+2q=62 by 2, then subtract 8p−q=59 from the result.
Multiply 8p−q=59 by 2, then add the result to 4p+2q=62.
Do both strategies work for solving the system? If so why?
Answer:
3/2 and 6/9
Step-by-step explanation:
the teacher said i was right
Draw the triangle ABC on a coordinate plane given the following points A (0,0) B (4,-10) C (10,-4)
draw a picture of ur triangle
Answer:
plot those points on a graph and then label the points with the correct letter and then connect the dots and you should have a triangle on your graph.
Step-by-step explanation:
Step-by-step explanation:
First plot the points on a graph and then connect those points forming a triangle
A school group wants to rent part of a bowling alley to have a party. The bowling alley costs $500 to rent, plus an additional charge of $5 per student to bowl. The group doesn’t want any student to pay more than $15 total to attend this party.
What is inequality that could represent this situation?
How many students would need to attend so each student would pay at most $15?
Answer:
If there are N students, the total cost will be:
C(N) = $500 + $5*N.
And we want the amount that each student pays to be equal or less than $15.
then:
C(N)/N ≤ $15.
Then the inequality that represents this situation is:
($500 + $5*N)/N ≤ $15.
Now, let's solve this:
($500 + $5*N) ≤ $15*N
$500 ≤ $15*N - $5*N
$500 ≤ $10*N
$500/$10 ≤ N
50 ≤ N
So the minimum number of students needed is 50.
4x + xz + 8 - 4xz- 7z
Answer: if your trying to simplify it....
−3xz+4x−7z+8 <----- this is your answer
if your trying to factor...
4x−3xz+8−7z <------ is your answer
if Finding the exact value using trigonometric identities.
−3xz+4x−7z+8 <---- is your Answer
I don't know where your going with this....
Step-by-step explanation:
Let's simplify step-by-step.
4x+xz+8−4xz−7z
=4x+xz+8+−4xz+−7z
Combine Like Terms:
=4x+xz+8+−4xz+−7z
=(xz+−4xz)+(4x)+(−7z)+(8)
=−3xz+4x+−7z+8
Answer:
=−3xz+4x−7z+8
Which term describes −8/27?
Answer:
8/27. Though the question is a bit confusing. If your asking which term describes it, its this a multiple choice question?
Step-by-step explanation:
8 /27
is already in the simplest form. It can be written as 0.296296 in decimal form (rounded to 6 decimal places).
Steps to simplifying fractions :
Find the GCD (or HCF) of numerator and denominator
GCD of 8 and 27 is 1
Divide both the numerator and denominator by the GCD
8 ÷ 1
27 ÷ 1
Reduced fraction:
8 /27
Therefore, 8/27 simplified to lowest terms is 8/27.
Answer:
-8/27
Step-by-step explanation:
can you please help me
Answer:
14
Step-by-step explanation:
cause both are congruent which means the same size if one has 14 why shouldnt the other too
Jasmin's dog weighs 64 pounds . Her vet told her that a healthy weight for her dog would be less than or equal to 49 pounds . Jasmin's dog can lose an average of 4 pounds every week . Write the solution to an inequality that describes all possible number of weeks for which her dog can be at a healthy weight .
Answer:
9 > 10
Step-by-step explanation:
90 = 9
100 = 10
answer = 9.10
Si la mitad del reciproco de un numero se suma al duplo del reciproco de otro, la suma es uno mas que el reciproco del primer numero. la diferencia de los reciprocos de los numeros es una decima.
Answer:
Ambos números son [tex]-\frac{25}{8}[/tex] y [tex]\frac{50}{21}[/tex]
Step-by-step explanation:
La mitad de una cantidad es el resultado de partir en dos partes iguales dicha cantidad, siendo cada una de esas partes es la mitad de la cantidad inicial. Por lo que la mitad de un número se calcula dividiendo el número por 2.
El recíproco o inverso multiplicativo de un número x es el número que, cuando es multiplicado por x , da 1. Es decir, el producto de un número y su recíproco es 1. Para obtener el recíproco de un número, sólo divide 1 por el número. Entonces el reciproco de un numero cualesquiera x es [tex]\frac{1}{x}[/tex].
El doble o duplo de un número se calcula multiplicando el número por 2.
La diferencia es el resultado de la resta o sustracción.
Entonces:
La mitad del reciproco de un numero: siendo el número x, entonces esto se expresa como [tex]\frac{1}{x}[/tex]÷2El duplo del reciproco de otro numero: siendo el número y, entonces podes expresar [tex]\frac{1}{y}[/tex]*2Uno más que el reciproco del primer numero: [tex]\frac{1}{x}+1[/tex]Entonces:
[tex]\frac{1}{x}[/tex]÷2 + [tex]\frac{1}{y}[/tex]*2 = [tex]\frac{1}{x}+1[/tex] Ecuación (A)
Siendo la diferencia de los recíprocos de los números igual a una decima, entonces
[tex]\frac{1}{x}+\frac{1}{y}=\frac{1}{10}[/tex] Ecuación (B)
Entonces, de la ecuación (B) se obtiene:
[tex]\frac{1}{y}=\frac{1}{10}-\frac{1}{x}[/tex] Ecuación (C)
Reemplazando en la ecuación (A):
[tex]\frac{1}{x}[/tex]÷2 +( [tex]\frac{1}{10}-\frac{1}{x}[/tex])*2 = [tex]\frac{1}{x}+1[/tex]
Resolviendo:
[tex]\frac{1}{x}[/tex]÷2 + [tex]\frac{1}{10}*2-\frac{1}{x}*2[/tex] = [tex]\frac{1}{x}+1[/tex]
[tex]\frac{1}{x}[/tex]*[tex]\frac{1}{2}[/tex] - [tex]\frac{1}{x}*2[/tex] - [tex]\frac{1}{x}[/tex]= 1- [tex]\frac{1}{10} *2[/tex]
[tex]-\frac{5}{2}*\frac{1}{x}=\frac{4}{5}[/tex]
[tex]\frac{1}{x} =\frac{4}{5}[/tex] ÷ [tex](-\frac{5}{2})[/tex]
[tex]\frac{1}{x} =-\frac{8}{25}[/tex]
[tex]x=-\frac{25}{8}[/tex]
Entonces, reemplazando en ecuación (C)
[tex]\frac{1}{y}=\frac{1}{10}-\frac{1}{-\frac{25}{8} }[/tex]
[tex]\frac{1}{y}=\frac{1}{10}+\frac{8}{25}[/tex]
[tex]\frac{1}{y}=\frac{21}{50}[/tex]
[tex]y=\frac{50}{21}[/tex]
Entonces, ambos números son [tex]-\frac{25}{8}[/tex] y [tex]\frac{50}{21}[/tex]
Usando un sistema de ecuaciones, se encuentra que los números son: [tex]-\frac{1}{4}, -2[/tex]
Un número es llamado de x, el otro de y.Los recíprocos son: [tex]\frac{1}{x}, \frac{1}{y}[/tex]Si la mitad del reciproco de un numero se suma al duplo del reciproco de otro, la suma es uno mas que el reciproco del primer numero, o sea:
[tex]\frac{1}{2x} + \frac{2}{y} = 1 + \frac{1}{x}[/tex]
La diferencia de los reciprocos de los numeros es una decima, o sea:
[tex]\frac{1}{x} - \frac{1}{y} = 10[/tex]
[tex]\frac{y - x}{xy} = 10[/tex]
[tex]y - x = 10xy[/tex]
[tex]y = 10xy + x[/tex]
[tex]y = x(10 + y)[/tex]
[tex]x = \frac{y}{10 + y}[/tex]
Reemplazando en la primera ecuación:
[tex]\frac{1}{2x} + \frac{2}{y} = 1 + \frac{1}{x}[/tex]
[tex]\frac{10 + y}{2y} + \frac{2}{y} = 1 + \frac{10 + y}{y}[/tex]
[tex]\frac{10 + y + 4}{2y} = \frac{y + 10 + y}{y}[/tex]
[tex]\frac{14 + y}{2y} = \frac{2y + 10}{y}[/tex]
[tex]14y + y^2 = 4y^2 + 20y[/tex]
[tex]3y^2 + 6y = 0[/tex]
[tex]3y(y + 2) = 0[/tex]
[tex]y + 2 = 0[/tex]
[tex]y = -2[/tex]
[tex]x = \frac{y}{10 + y} = \frac{-2}{10 - 2} = -\frac{1}{4}[/tex]
Los números son: [tex]-\frac{1}{4}, -2[/tex]
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