Find the area of quadrilateral ABCD. [Hint: the diagonal divides the quadrilateral into two triangles.]
![Find The Area Of Quadrilateral ABCD. [Hint: The Diagonal Divides The Quadrilateral Into Two Triangles.]](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/AIOvZJGs4W8BSaqB9xpV8r8SqBQztc5e.png)
Answers
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
[tex]\rm A = \sqrt{s (s-a)(s-b)(s-c)[/tex]
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
To know more about Quadrilateral
https://brainly.com/question/13805601
#SPJ5
Related Questions
Reposed cause the first one didn’t have the pictures. Need help with this
Thanks :)
Answers
Answer:
(d) x = -3/4; y = -3 1/2
Step-by-step explanation:
You are asked for the coordinates of the point of intersection of the lines on the graph. This requires interpolation, because not all grid lines are marked, and the point is not on any grid line.
InterpolationThe idea of "interpolation" is figuring the value of a point that lies between points whose values are known. The answer choices here suggest that we are to interpolate to the nearest 1/4 unit. This requires that you mentally (or actually) divide the space between grid lines into 4 equal sections, and figure where the point lies relative to those divisions.
In the case of the x-coordinate, the first grid line left of the y-axis is not marked, but we notice it lies halfway between x=0 and x=-2. That means we can safely assume that the unmarked vertical grid line has a value of x=-1.
Applicationhorizontal coordinate
The location of the point of intersection of the two lines is horizontally closer to the -1 (unmarked) grid line than it is to the y-axis. Its x-value will be between -1 and 0. The answer choices tell us it is -3/4, consistent with it being about 3/4 of the distance toward -1 from 0.
x = -3/4
vertical coordinate
The location of the point of intersection of the two lines is vertically about halfway between -3 and -4. The answer choices tell us it is -3 1/2.
y = -3 1/2
The surface areas of the solids shown above are equal, but their lateral
surface areas are not.
A. True
B. False
Answers
Answer:
Flase
Step-by-step explanation:
Solid a has a surface area of 170 sq ft.
Solid b has a surface area of 126 sq ft.
Just knowing this information we already know that the statement is false
Answer:
False
Step-by-step explanation:
1. Find the surface area
Shape 1 Shape 2
(4 x 5)2 + (5x5)4 = 140 (6 x 3)2 + (3 x 5)2 + (6 x 5)2 = 126
2. Exclude the bases
Shape 1 Shape 2
140 - 40 = 100 126 - 36 = 90
All in all, this is FALSE
Hope this helped. Please give brainliest. It took me a long time (30 minutes).
I WILL GIVE BRAINLIEST ( hurry!1!! :[ )
Answers
b
Step-by-step explanation:
because I am not sure what to do with my life
Daniel is a piano instructor who gives lessons on weekends. The cost of one lesson is $30. Daniel is offering a 5-lesson package with a 25% discount off the total price.
How much would a student save by buying a multi-pack compared to 5 separate lessons?
Why would Daniel offer a discount when he knows he could earn more money selling the lessons separately?
Answers
Answer:
150 is if you buy them separately but 150-25%=112 so 150-112=38 so students would save $38
Step-by-step explanation:
he made that package so that more people would go to his lessons know that there was a discount going on and more people would choose his lessons over people who don't have discounts.
Answer:
1- Separately - 150
2- students would save 38
what is this answer.Estimated pls help now!i need it in 1-3 minutes
2.21×5.1≈
HELP ME NOWWW
Answers
Answer:
11.271
Step-by-step explanation:
just multiply
Answer:
11.271
Step-by-step explanation:
Multiply
2.21 by 5.1
[tex]9e+4=-5+14+13e[/tex]
Answers
Insert a digit in each place "..." to make numbers that are divisible by 6
if it is possible:
4...9
Answers
the question isn't possible to answer because 9 is not divisible by 6
Answer:
It is not possible to make 4_9 divisible by 6
Step-by-step explanation:
A number that is divisible by 6 will be divisible by 2 and by 3. An integer is divisible by 2 if its units digit is even. An integer is divisible by 3 if the sum of its digits is divisible by 3.
__
The given number has a units digit of 9, which is not even. The number cannot be made divisible by 2 for any inserted digit.
It is not possible to make 4_9 divisible by 6.
What is the distance between the house and the library?
Answers
Answer:
C (√34)
Step-by-step explanation:
Pythagoras' theorem states that: a² + b² = c², where c is the hypotenuse and what we are trying to figure out.
So, 3² + 5² = c²
9 + 25 = 34 = c²
c = √34
:)
Answer:
C (√34)
Step-by-step explanation:
I WILL GIVE BRIANLIEST FOR FASTEST AND CORRECT ANSER
Answers
Answer: C
Step-by-step explanation:
Step 1: Find the unit rate (tomatoes per bowl)
Last time, the ratio was 9:12, or 9 tomatoes for 12 bowls of soup. To finndd the unit ratet, dividde the ffirst given unnit by the 2nd. In this case, tomatoes is the first unit, and bowls is the second. So the unit rate is:
9÷12= 0.75, or 3/4 of a tomato per bowl of soup.
Now, the ratio is 6:8, or 6 tomatoes for 8 bowls of soup. The unit rate is
6÷8= 0.75, or 3/4of a tomato per bowl of soup.
Step 2: Compare
As you can see, the number of tomatoes per bowl of soup hasn't changed at all. So the answer is C.
Hope this helps :)
Answer:
Todays’s soup will taste the same.
Step-by-step explanation:
9 tomatoes for every 12 cups of soup- ratio= 9/12=3/4
6 tomatoes for every 8 cups of soup- ratio=6/8=3/4
They both end in the same ratio, which is 3/4.
PLS HELP WILL GIVE BRANLIEST
Answers
Answer:
Cold length 7 days or longer with medicine taken = 0.24
Cold length less than 7 days with medicine taken = 0.76
Cold length 7 days or longer without medicine taken = 0.69
Cold length less than 7 days without medicine taken = 0.31
Step-by-step explanation:
PLESAE HELP ME SOLVE THIS!! THANK YOU!!!
(9*10^9)*(-2*10^-3)
Answers
PLEASE ANYONE HELP ME OUT WITH THIS QUESTION
Please Anyone Help Me Out With Digit 7
Answers
50 POINTS+brainliest but reposting again because my points were used last time: How do you graph a quadratic equation in vertex form when the equation is a perfect square? Use x² -4x+4 as an example
you will be reported if your answer is absurd
Answers
Answer:
If it is a perfect square, k=0 in the form y=a(x-h)^2+k.
Step-by-step explanation:
x^2-4x+4=(x-2)^2, meaning that the vertex is at the point (2,0).
Hope this helped :)
If it is a perfect square, k=0 in the form
y=a(x-h) ^2+k.
Step-by-step explanation:
x^2-4x+4=(×-2) ^2, meaning that the vertex
is at the point (2,0).
*HELP* *NEEDS IT ALSO TODAY RIGHT NOW*
Compare.
Answers
it would be less because rt42 is closer to halfway between 6 and 7
Answer:
Less that
Step-by-step explanation:
rt42 is closer to halfway between 6 and 7
8th grade 50 POINTS+BRAINLIEST: How do you graph a quadratic equation in vertex form when the equation is a perfect square? Use x² -4x+4 as an example
Answers
Answer:
(x - 2)² + 0
Step-by-step explanation:
Using x² - 4x + 4
(x² - 4x + 4)
x² - 4x + (-2)² - (-2)² + 4 (complete the square)
(x - 2)² - ( -2)² + 4 (use the binomial formula)
(x - 2)² + 0
Vertex point at (2,0)
Answer:
(x - 2)² + 0
Step-by-step explanation:
Step-by-step explanation:
Using x² - 4x + 4
(x² - 4x + 4)
x² - 4x + (-2)² - (-2)² + 4 (complete the square)
(x - 2)² - ( -2)² + 4 (use the binomial formula)
(x - 2)² + 0
Vertex point at (2,0)
How many solutions does the system have?
y = − 7 x + 8
y = −7x - 8
A one
B none
C Infinite
Answers
Answer: B. None
Step-by-step explanation:
The best way to figure this out is by graphing it. I used Desmos graphing calculator. The red line is the first equation, and the blue line is the second one. As you see, they do not intersect anywhere, therefore will not have any solutions.
I hope this helps!! Pls mark brainliest!! :)
Answer:
B
Step-by-step explanation:
These are PARALLEL lines....they both have the same slope -7
so there are no solutions
Simplify -40/7+8-23/7
Answers
Answer:
-1
Step-by-step explanation:
-40/7+8-23/7
= -40/7+8-23/7
= 16/7-23/7
= -1
Mitch and Renae are sharing a large sub sandwich. Mitch ate 1/4 of the sandwich, and Renae ate 2/4 of the sandwich. How much of the sandwich did they eat altogether?
Answers
A rectangular-shaped dining room table is modeled by the figure given below. A) Write an equation to represent the area of the dining room table. B) If the the area of the table is 112 ft2, what are the dimensions of the dining room table?
Answers
Answer:
A) (x+10)(x+4) = ?
B) (x+10)(x+4) = 112, solve for x
Step-by-step explanation: you multiply the two equations to get the area.
Answer:
a)[tex](x^{2} +14x+40)ft^{2}[/tex]
b)14ft, 8ft
Step-by-step explanation:
a) Area of Rectangle = Length x Breadth
= [tex](x+10)(x+4)\\=x^{2} +4x+10x+40\\=(x^{2} +14x+40) ft^{2}[/tex]
b) Given Area of rectangle = [tex]112ft^{2}[/tex]
[tex]x^{2} +14x+40=112\\x^{2} +14x-72=0 (Quadratic Equation)\\\\[/tex]
Quadratic Equations: [tex]ax^{2} +bx+c = 0\\[/tex]
In this case, a = 1, b = 14, c = -72
[tex]\frac{-b+/-\sqrt{b^{2}-4ac } }{2a} \\= \frac{-14+/-\sqrt{14^{2} 4(1)(-72)} }{2(1)} \\= 4 or - 18 (reject)[/tex]
We reject negative values.
so x = 4,
The length of table = (x+10) ft = 4+10 = 14ft
The breadth of the table = (x+4) ft = 4 + 4 = 8ft
In a music competition, a participant has to score a total of at least 40 points in the first four rounds combined to move on to the fifth and final round. Glenn scored 4 points in the first round. He then went on to score additional points in the second, third, and fourth rounds. In each of those rounds, his score was identical. Which inequality best shows the number of points, p, that Glenn scored in each of the second, third, and fourth rounds if he earned a place in the finals?
a 4 + 3p ≤ 40
b 4 + 3p ≥ 40
c 4p + 3 ≥ 40
d 4p + 3 ≤ 40
Answers
Answer:
b 4 + 3p ≥ 40
Step-by-step explanation:
he needs more than 40 points, so we need to pick and answer with a greater than or equal to sign that faces the side with Glenn's points. This leaves b or c for our answers. Glenn played 3 different rounds in which he scored a value represented by the variable p. Additionally, he scored a value of 4 points is given. Therefore, because he scored p in 3 different rounds, p is multiplied by 3 to make 3p. So, 4+3p≥ 40 (answer b) is correct
Answer:
b 4 + 3p ≥ 40
Step-by-step explanation:
does anyone know what the √2.25 is when rewritten as a fraction?
Answers
Answer: [tex]\sqrt{\frac{9}{4} }[/tex]
Step-by-step explanation:
This is what it is as a mixed number
[tex]\sqrt{2.25}[/tex]
= [tex]\sqrt{2\frac{1}{4} }[/tex]
= [tex]\sqrt{\frac{9}{4} }[/tex]
If you want it written in exponential form it would look like this:
[tex](\frac{9}{4}) ^{\frac{1}{2} }[/tex]
Answer:
1.5 in decimal and 3/2 or 1 1/2 in fraction
Step-by-step explanation:
hope this helps:)
Complete the equation.
3x^2 times (9x)^0
Answers
Answer:
[tex]\boxed {3x^{2}}[/tex]
Step-by-step explanation:
⇒ 3x² × (9x)⁰
⇒ 3x² × 1 (Any number raised to 0 is equal to 1)
⇒ 3x²
Answer:
3x²
Step-by-step explanation:
3x²×(9x)raised to zero
= 3x²×1
=3x²
Simplify.
4n + 12 + 7n
A. 4 n + 19
B. 23 n
C. 16 n + 7
D. 11 n + 12
Answers
Answer:
D. 11n + 12
Step-by-step explanation:
You can simplify the 4n + 7n to be 11n by adding them together.
This means the answer is 11n + 12.
Look at this number sentence.
( ? + 10 ) + 4 = 7 + ( 10 + 4 )
Answers
Answer:
x = 7
or
7 + 10 + 4 = 7 + 10 + 4
Step-by-step explanation:
( ? + 10 ) + 4 = 7 + ( 10 + 4 )
x + 10 + 4 = 7 + 10 + 4 (the answer is just 7)
x + 14 = 21
x = 21 - 14
x = 7
FREE BRAINLEST IF YOU ANSWER CORRECTLY
4x + 1 over 3 y2
What is the value of the expression above when x = 2 and y = 3? You must show all work and calculations to receive full credit.
--------------------------------------------------------------------------------------------------------------
Says the correct answer: FIRST = Brainliest, Thanks, 5 stars, and praise.
Correct answer: Thanks, 5 stars, and praise.
Incorrect answer: 2 stars (Nothing personal).
Odd answers like GPUOLFYG or answers that don't make sense: 1 star and report.
Links: 1 star and report.
Answers
Answer:
1/2
put the values in the equationfor x =2 and for y =34(2)+1/3×3×2=8+1/3×69/181/2NO LINKS OR FILES PLEASE!!!!!
The path of a race will be drawn on a coordinate grid like the one shown below. The starting point of the race will be at (−5.3, 1). The finishing point will be at (1, −5.3).
Part A: Use the grid to determine in which quadrants the starting point and the finishing point are located. Explain how you determined the locations. (6 points)
Part B: A checkpoint will be at (5.3, 1). In at least two sentences, describe the difference between the coordinates of the starting point and the checkpoint, and explain how the points are related. (4 points)
Answers
Answer:
Step-by-step explanation:
A: The starting point is located in Quadrant Q and the finishing point will be located in Quadrant S.
B: The checkpoint is in Quadrant P so it is in the middle of the course. The course will go from Quadrant Q to Quadrant S clockwise.
I WILL GIVE BRAINLIEST
Answers
Answer:
D. 8/7
Step-by-step explanation:
A probability value is always in the interval [0, 1], between 0 (can't happen) and 1 (certain to happen).
__
A value of 8/7 will not be a probability. Statement D does not correctly use probability.
what is the correct solution to the problem 6 x 3/8?
Answers
Answer:
9/4 or 2.25Step-by-step explanation:
what is the correct solution to the problem 6 x 3/8?
6 * 3/8 =
semplify
3 * 3/4 =
9/4 or 2.25
Explanation:
Put 6 over a one (6/1)
Now multiply 6/1 by 3/8 = 18/8 (what you do is you multiply the top, then bottom)
Now simplify:
Both have 2 in common so we would do 18 divided by 2 (9)
Then 8 divided by 2 (4)
So we get our answer 9/4
Monroe Vitamin Shop sold equal quantities of Vitamin A and Vitamin D supplements this
morning, even though the Vitamin A supplements come in packs of 4 and the Vitamin D
supplements in packs of 7. What is the smallest number of each type that the store could
have sold?
supplements
Answers
Answer:
28 supplements
Step-by-step explanation:
4 x 7 = 28
7 x 4 = 28
Jimmy’s family moved to a tropical climate. For the year that followed, he recorded the number of days that had a temperature above 40 degrees C each month. His data contained -
14, 14, 10, 12, 11, 13, 11, 11, 14, 10, 13 and 8
1) Find the mean for his data set of days that had a temperature above 40 degrees C.
2) Find the median for his data set of days that had a temperature above 40 degrees C.
3) Find the mode for his data set of days that had a temperature above 40 degrees C.
4) If, instead, there are 5 more days per month that had a temperature above 40 degrees C, what will be the mean for the data?
5) If, instead, there are 2 more days per month that had a temperature above 40 degrees C, what will be the mode for the data?
6) If the number of days per month that had a temperature above 40 degrees C, doubles each month in that year, what will be the median for the data?
7) For what value of x will 9, 16 and x have the same mean (average) as that of 26 and 12?
8) For what value of x will 55 and x have the mean (average) as 67?
9) The mean (average) weight of three boys is 40 pounds. One of the boys weighs 50 pounds. The other two boys have the same weight. Find weight of each of the boys?
10) A cat consumes 2 cups of milk every day. How much milk does that cat drink on an average in a week?
11) What is mode for above question?
