The area of the quadrilateral is 39.84 sq.units.
What is a Quadrilateral?A quadrilateral is a polygon with four sides.
The quadrilateral ABCD is divided into 2 triangles by its diagonal
The area of Quadrilateral will be equal to the sum of the area of tho scalene triangles
The area of a scalene triangle is given by
\(\rm A = \sqrt{s (s-a)(s-b)(s-c)\)
s is the semi perimeter = (a+b+c)/2
The sides of the Triangle ADC is 3.54, 17.29, 17.21
and The sides of the Triangle ABD is 7.84, 17.29, 9.59
s for ADC = (3.54+17.29+17.21)/2 = 19.02
s for ABD = 17.36
A for Triangle ADC is = 30.36
A for Triangle ABD is= 9.48
The total area of the quadrilateral is 30.36+ 9.48 = 39.84
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PLEASE HELP if can
(file below)
Answer: B ,hope it helps!
If the radius is 40 ft, what is the area of the circle?
Answer:
A = pi(r)^2
A = pi(40)^2
A = 1,600pi sq. ft.
Therfore the answer is C.) 1,600 pi sq. ft.
I hope this helps you!!
Answer:
C - 1600\(\pi\) sq. ft.
Step-by-step explanation:
Since the answer has to be in terms of pi, we can exclude that from the equation.
The formula to find the area of a circle is \(\pi r^2\) where r is the radius. If we plug in 40 for r, we get 1600\(\pi\).
Which list orders the numbers from least to greatest?
Negative 2.4, negative 1.5, negative 2 and one-fourth, negative 3, negative 1 and one-eighth
A number line going from negative 4 to positive 4.
Negative 1 and one-eighth, negative 1.5, negative 2 and one-fourth, negative 2.4, negative 3
Negative 3, negative 2.4, negative 2 and one-fourth, negative 1.5, negative 1 and one-eighth
Negative 3, negative 2 and one-fourth, negative 2.4, negative 1 and one-eighth, negative 1.5
Negative 1.5, negative 1 and one-eighth, negative 2.4, negative 2 and one-fourth, negative 3
Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth
Hope my answer helps you✌️
Viet, quinn, and lucy are going to play bingo B 1-15, I-16-30, N-31-45, G-46-60, O-61-75.
Lucy makes a probability model to determine whether the first number drawn will be even or odd. Compare the different probabilities.
Answer:odd. I don't know if I'm right though.
Step-by-step explanation:
I think it's odd as it be -15 which is odd.
I really hope this helps.
In the diagram below, all angles are given in degrees (°)
Find the value of x.
Answer:
\(x=20^o\)
Step-by-step explanation:
from the diagram, we can define the remaining angle in the quadrilateral through the sum of angles in any quadrilateral, which is \(360^o\), so the remaining unknown angle should be:
\(360-(50+2x+x)=310-3x\)
now that we have the unknown angle, we can find x through the point at which the outer angle is. \(x+90\) degrees. (sum of angles at one point is 360 degrees)
\(310-3x +x+90=360\\\\400-2x=360\\2x=400-360\\x=20^o\)
The value of variable x is,
x = 20
We have to given that,
In the diagram below, all angles are given in degrees.
Since, the sum of angles in any quadrilateral is, 360 degree.
Let measure of fourth angle is, y
Hence, We get;
(50 + 2x + y + x ) = 360
50 + 3x + y = 360
3x + y = 360 - 50
3x + y = 310
y = 310 - 3x
Now, We get;
(310 - 3x) + (x + 90) = 360
Solve for x,
310 - 3x + x + 90 = 360
400 - 2x = 360
400 - 360 = 2x
2x = 40
x = 40/2
x = 20
Therefore, The solution is, 20
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Solve the side angel for x.
Answer:
x=80
Step-by-step explanation:
a^2+b^2=c^2
48^2+64^2=x
2304+4096=x
6400=√x
√ to get x alone
80=x
Select ALL the correct answers.
Brandon goes to an ATM near his house and withdraws x dollars from his checking account. Since the ATM is not at the same bank where his checking account is, the bank charges a $2 fee for each transaction, which is withdrawn from his account in addition to the x dollars.
Brandon makes this same withdrawal at this same bank once a week for seven weeks. Which of the following expressions could represent the total amount withdrawn from Brandon's checking account during this time period from these ATM transactions?
(7)(x) + (7)(2)
7x + 9
7x + 14
7x + 2
(7)(x) + (7)(2x)
7(x + 2)
Answer:
(7)(x) + (7)(2) , 7x + 14 , 7(x + 2)
Step-by-step explanation:
Help!
The number of cookies that were made at a bakery for each of seven days is shown:
108, 96, 96, 84, 108, 240, and 84
The best measure of center for this data set is the-
A: median because all of the values are close to one another in value
B: mean because all of the values are close to one another in value
C: median because 240 is much higher than the other numbers in the data set
D: mean because 240 is much higher than the other numbers in the data set
30 POINTS. I NEED HELP.
How likely is a event with a probability of 3/4
Answer: 75%
Step-by-step explanation:
A event that occurs 3/4 of the time would have literally 3/4 the probablity of occuring. If you know, the line in a fraction is actually a divisoin symbol. We can do 3/4 which is 0.75. Then, 0.75 would be 75% of 1, so the answer is 75%.
P.S. mark as brainlist please
--- likely. based on this number line for probability (check image) , 3/4 or 75% probability is likely
Find the area of the circle. Round your answer to the nearest hundredth.
Answer:
if you are rounding it shouldn't it be ten
Answer:
A=113.04
Step-by-step explanation:
A = (pi)r^2
A = (pi) (6)^2
A= 3.14 (36)
A=113.04
Another day, another question (no decimals)
Answer:
same as the last one but they add by 3
2+2+2 = 6 +2 = 8
Step-by-step explanation:
7*3 = 21+ 7= 28
42 divided by 7 = 6 * 2
7 21 42
2 6 12
Did you notice that we can simply multiply the exponents when raising a power to a power?
This method is called the POWER RULE.
(x^m) =x^m*n
YOUR TURN:
Use the power rule to simplify
(a^4)^6
Steel sheeting costs 2¢ per square inch. How much will David spend to build the model out of steel? Write your answer as a dollar amount.
No help needed this is for one person
Answer: ok thats cool
Step-by-step explanation:
Kenny bought a 50-pound bag of chicken feed for $29.98 and a 25-pound bag for $15.49. Can you use proportional reasoning to find the price of a 40-pound bag? Explain.
Yes; The ratio of pounds to cost is equivalent.
Yes; The unit rates are the same.
Yes; The line containing these two points passes through the origin.
No; There is no constant of proportionality.
Answer:
No; There is no constant of proportionality.
Step-by-step explanation:
29.98 divided by 50 is 0.5996 and 15.49 divided by 25 is 0.6196. They are not proportional nor are they equal. There is a difference of 0.02.
Plz help me on questions number one
Graph the line given by the equation.
2y = -3x
Answer:
1. Slope = -3.000/2.000 = -1.500
2. x-intercept = 0/3 = 0.00000
3. y-intercept = 0/2 = 0.00000
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2*y-(-3*x)=0
STEP
1
:
Equation of a Straight Line
1.1 Solve 2y+3x = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 2y+3x = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 0/2 so this line "cuts" the y axis at y= 0.00000
y-intercept = 0/2 = 0.00000
Calculate the X-Intercept :
When y = 0 the value of x is 0/3 Our line therefore "cuts" the x axis at x= 0.00000
x-intercept = 0/3 = 0.00000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -0.000 and for x=2.000, the value of y is -3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -3.000 - -0.000 = -3.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -3.000/2.000 = -1.500
Geometric figure: Straight Line
Slope = -3.000/2.000 = -1.500
x-intercept = 0/3 = 0.00000
y-intercept = 0/2 = 0.00000
Evaluate (whith steps) -3 - 5 (8 + 4) + 16 - 32
Answer:
Using the order of operations (PEMDAS), we evaluate the expression as follows:
First, we perform the operations inside the parentheses: 8 + 4 = 12.
Next, we multiply 5 by 12: 5(12) = 60.
Then, we combine the like terms: -3 - 60 + 16 - 32 = -79.
Therefore, -3 - 5 (8 + 4) + 16 - 32 = -79.
If Quadrilateral Q is a scaled copy of Quadrilateral P created with a scale factor of 3, what is the perimeter of Q?
The perimeter of the trapezoid is given by the equation Q = 186
What is a trapezoid?The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.
There are three types of trapezoids , and those are given below:
a) Isosceles Trapezoid
b) Scalene Trapezoid
c) Right Trapezoid
The area of the Trapezoid is given by
Area of Trapezoid = ( ( a + b ) h ) / 2
where , a = shorter base of trapezium
b = longer base of trapezium
h = height of trapezium
Given data ,
Let the perimeter of the scaled trapezoid be Q
Quadrilateral Q is a scaled copy of Quadrilateral P created with a scale factor of 3
Now , the trapezoid Q = 3 x trapezoid P
The perimeter of trapezoid Q = 3 x perimeter of trapezoid P
Length of longer base of P = 25
Length of shorter base of P = 7
And , the perimeter of trapezoid P = length of longer bases + length of bases + height
Substituting the values in the equation , we get
Perimeter of P = 15 + 15 + 7 + 25
On simplifying the equation , we get
Perimeter of P = 62
Now , perimeter of trapezoid Q = 3 x Perimeter of P
So , perimeter of trapezoid Q = 3 x 62
Perimeter of trapezoid Q = 186
Therefore , the value of Q is 186
Hence , the perimeter of trapezoid Q is 186
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Jackson works as a veterinary technician and earns $12.20 per hour. Jackson normally works 40 hours a week. And a normal week, what is his total pay before taxes and other deductions
Answer:
p = 12.20h
30.5 hours
Step-by-step explanation:
Jackson works as a veterinary technician and earns per hour = $12.2
He works in a normal week = 40 hours
Let hours = h and weekly pay = p
p = 12.20h
p = $12.20 × 40
= $488.00
Last week Jackson was ill and missed some work.
His total pay before deduction was $372.10
To find the hours he work the equation will be p = 12.20h
372.10 = 12.20h
372.10/12.20 = h
h= 30.5
....................
Answer:
?
Step-by-step explanation:
simplify each expression.
3. 7^-2(-3)2 4. a^-3/b^-2 for a= 5 and b= 6
please answer this im bad at math
Answer:
Hope This helps!^^
Step-by-step explanation:
3.
7^-2(-3) =-3/49
4.
a^-3b/b^-2
b^2/a^3
6^2/5^3
36/125 OR 0.288
Answer:
This helps! ^^
Step-by-step explanation:
3.
7^-2(-3) =-3/49
4.
a^-3b/b^-2
b^2/a^3
6^2/5^3
36/125 OR 0.288
Step-by-step explanation:
-24b+4b
Compute and Simplify.
Please add explaination
I need help i'm struggling. Number 4 and up I guess.
Answer:
1: 8/15
2: -4.2
3: 15.68
4: -1/24
If the relationships below are given in the form (input, output), which pairing always describes a function? (a person’s age in years, that same person’s height in inches) (a person’s weight in pounds, that same person’s height in inches) (a person’s height in centimeters, that same person’s height in inches) (a person’s telephone number, that same person’s height in inches)
Answer:
A function is a mathematical relation in which each input (domain value) is associated with exactly one output (range value). In other words, for a relation to be a function, each input can have only one corresponding output. Let's analyze the given pairings:
(a person’s age in years, that same person’s height in inches) - This can be a function because one person's age in years should correspond to a single height in inches.
(a person’s weight in pounds, that same person’s height in inches) - This can also be a function because one person's weight in pounds should correspond to a single height in inches.
(a person’s height in centimeters, that same person’s height in inches) - This can be a function because one person's height in centimeters should correspond to a single height in inches.
(a person’s telephone number, that same person’s height in inches) - This may not necessarily be a function. It's possible for two different people to have the same height in inches but different telephone numbers.
So, the pairings that always describe a function are:
(a person’s age in years, that same person’s height in inches)
(a person’s weight in pounds, that same person’s height in inches)
(a person’s height in centimeters, that same person’s height in inches)
These three pairings meet the criteria of a function, where each input corresponds to a unique output.
The pairing that always describes a function is option C. (a person’s height in centimeters, that same person’s height in inches)
How did we arrive at this assertion?A pairing describes a function when each unique input (domain element) is associated with exactly one unique output (range element). In other words, there should be no ambiguity or multiple outputs for a single input. Let's analyze the given pairings:
1. (a person’s age in years, that same person’s height in inches): This pairing may not always describe a function because multiple people can have the same age, but they might have different heights. So, there can be multiple outputs for the same input (age).
2. (a person’s weight in pounds, that same person’s height in inches): Similar to the first pairing, this may not always describe a function because different people can have the same weight but different heights.
3. (a person’s height in centimeters, that same person’s height in inches): This pairing describes a function because for each unique height in centimeters, there is only one corresponding height in inches.
4. (a person’s telephone number, that same person’s height in inches): This pairing may not always describe a function because multiple people can have the same telephone number, but they might have different heights. So, there can be multiple outputs for the same input (telephone number).
So, the pairing that always describes a function is: (a person’s height in centimeters, that same person’s height in inches)
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There are 12 steps in a staircase. Find he distance from point A to point B (in feet) . Round your answer to the nearest tenth.
Due in 8 hours. Show work and answer.
Answer:just add
Step-by-step explanation:
The mass of Earth is 5.97 X 10²⁴ kilograms. The mass of the Moon is 7.34 x 10²² kilograms. What is the combined mass of earth.
PLEASE ANSWER IN SCIENTIFIC NOTATION ASAPP
so that the mass of the Earth+Moon system is close to 6.0456×10to the 24th power kg.
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Mrs. Wickowitz purchased at leat 4 dozen muffins to give to her students. write an inequality to represent the amount of dozen of muffins, m, that Mrs. Wickowits purchased.
A) m < 8
B) m > 4
C) m > 3
D) m < 12