Answers
Step-by-step explanation:
the area of a triangle is baseline × height / 2.
we have 2 major triangles that define this quadrilateral :
A-D-B and C-D-B.
both triangles have the same baseline : M_D + M_B = 14 cm
what we need to do is get the 2 heights M_C and N_A.
N_A we know already : 8 cm
so,
area A-D-B = 14×8/2 = 14×4 = 56 cm²
M_C we get via Pythagoras of the right-angled triangle D-M-C :
D_C² = M_C² + M_D²
10² = M_C² + 6²
100 = M_C² + 36
64 = M_C²
M_C = 8 cm
so,
area C-D-B = 14×8/2 = 56 cm²
so, the total area of the quadrilateral is
56 + 56 = 112 cm²
Related Questions
Hope someone can solve it quick.
Answers
Answer:
h = 6.12 cm
k = 3.47 cm
Step-by-step explanation:
[tex] \frac{AB}{AC} = \frac{DE}{DC} [/tex]
[tex] \frac{17}{8} = \frac{13}{h} [/tex]
h = 6.12 cm
[tex] \frac{AB}{BC} = \frac{DE}{EC} [/tex]
[tex] \frac{17}{15} = \frac{13}{8 + k} [/tex]
k = 3.47 cm
HOPE THIS HELPS AND HAVE A NICE DAY <3
hewo people of da wowld
Answers
Answer:
Hello :D
Step-by-step explanation:
Answer:
hi! lol
.................................................................
help if you fill in the blank bellow
Answers
slope = (y2-y1)/(x2-x1)
1- slope is undefined (Vertical line)
2- slope is 0 (horizontal line)
Which inequality describes all the solutions to 5(3-x)<-2+6 ?
Answers
The inequality that describes the solution is x < 3
What is inequality?Inequality is a mathematical expression that contains numbers, variables, arithmetic operations, and equality signs with the main purpose of determining a variable.
In the given information. we have:
5(3-x)<-2x +6Open brackets;
15 - 5x < -2x + 6Collect like terms
-5x + 2x < 6 - 15-3x < -9Divide both sides by (-3)
x < 3Learn more about inequality here:
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QUESTION ON PIC THANK YOU BRAINLIEST
Answers
Answer:
Graph 1: Parallel
Graph 2: Perpendicular
Graph 3: Neither
Graph 4: Perpendicular
Answer:
parallel
perpendicular
perpendicular
perpendicular
The regular toll for the Sunshine Bridge is $1.50. A SunPass transponder can be purchased for $19.99. With it, the toll is reduced to $1.07 per crossing. How many times would you have to cross the bridge for the total costs with and without the transponder be the same? (Round to the nearest whole number) How much would this cost?
Answers
The full answer to this is 18.6822429906542 times or 19 times if you round it.
Have an awesome day your welcome if I’m right sorry if I’m wrong
Solve for p. −8.4p=24.36
Enter your answer in the box.
Please help my life depends on this question and 19 more!
Answers
Answer:
p= -2.9
Step-by-step explanation:
24.36/-8.4=-2.9
I need help with this question
Answers
Hoping to be named Salesperson of the Month, Jason called the names from 2/3 of a page of the phone book last week. This week, he called the people listed on another 2/3 of a page of the same phone book. How many pages worth of people did Jason call in all?
Answers
Answer:
132 pages worth of people
Step-by-step explanation:
because 66 plus 66
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
x 3 9 13 20
y 9 27 39 60
State whether the relationship between the variables in the table is a direct variation, an inverse variation,
or neither. If it is a direct or inverse variation, write a function to model it.
Answers
Answer:
If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable. If they are inversely proportional, an increase in the value of one variable would cause a corresponding decrease in the other variable.
Looking at the given values, as x is increasing, y is also increasing. The constant of proportionality is
9/3 = 27/9 = 3
Therefore, the relationship is a direct variation and the function to model it is
y = 3x
Step-by-step explanation:
The relationship is a direct variation and the function to model it is y = 3x.
A car traveled 281 miles in 4 hours 41 minutes. What was the average speed of the car in miles per hour?
Answers
Answer:
= 60 miles / hour
Step-by-step explanation:
We first convert the time of 4 hours 41 minutes in minutes
4 hours 41 minutes = 4 × 60 + 41 = 281 minutes
Average speed S is given by distance / time. Hence
S = 281 miles / 281 minutes = 1 mile / minute
= 60 miles / hour
Total distance=281mi
Total time=4.7h
[tex]\\ \tt\hookrightarrow Avg\:Speed=\dfrac{Total\: distance}{Total\:time}[/tex]
[tex]\\ \tt\hookrightarrow Avg\:Speed=\dfrac{281}{4.7}[/tex]
[tex]\\ \tt\hookrightarrow Avg\:Speed=59.78mph[/tex]
If f(x) = 3x - 1 and g(x) = x + 2, find (f - g)(x).
Answers
Answer:
2x-3
Step-by-step explanation:
f(x)-g(x)= 3x-1-(x+2)
= 3x-1-x-2
= 2x-3
If L, M and N are midpoints of the sides of PQR, PR = 46, PQ = 40, and LN=17, find each measure
Answers
Check the picture below.
let's recall that the midsegment of a triangle is the segment that's half-way to both endsides and is at the same time parallel to the 3rd side, is also half the length of the parallel side, so-called the base.
so, for example, we know L, M and N are midpoints to each segment, that means that LM is a midsegment and parallel to PR and also half the length of PR, same is true for LN and MN.
{(-2, 6).(-3, 7), (-4, 8), (-3, 10)}
Is it a function or not
Answers
keeping in mind that functions do not have X-repeats, namely the x-coordinate of every pair is different, let's check this one, Check the picture below.
Type the correct answer in the box
A restaurant uses rectangular napkins were the length / is twice as long as the width the length of the napkin along the diagon X what is X in terms of / replace a and B with the correct values
Answers
The expression of X in terms of l is X = √5 l
How to calculate the diagonal of a rectangleAccording to the given information:
Length = wIf length l is twice as long as the width, then l = 2wDetermine the diagonal using the Pythagoras theorem:
X² = w²+(2w)²
X² = w² + 4w²
X =√5w²
X = √5 w
Replace w with l
X = √5 l
Hence the expression of X in terms of l is X = √5 l
Learn more on diagonals here: https://brainly.com/question/26154016
Question 27 of 55
Which statement about 9(2 + x) is true?
A. 9(2+ x) is a quotient.
B. 9(2 + x) is a product of two factors.
C. 9(2+ x) has two variables.
OD. 9(2+ x) is a product of three factors.
Answers
Step-by-step explanation:
9(2+x) is a quotient.......
X = 9-2
x = 7
Which of the following is the equation for a circle with a diameter that has endpoints at (2, 10) and (10,6)?
A.(x + 6)2 + (y + 8)2 = 80
B.(x - 6)2 + (y - 3)2 = 80
C.(x + 6)2 + (y + 8)2 = 20
D(x - 6)2 + (y - 3)2 = 20
Answers
Answer:
(x - 6)² + (y - 8)² = 20Step-by-step explanation:
Find the center, the midpoint of the ends of the diameter.
Use midpoint formula for each coordinate:
x = (2 + 10) / 2 = 12/2 = 6y = (10 + 6) / 2 = 16/2 = 8Find the square of the radius using distance formula between points:
(2, 10) and (6, 8)[tex]r^2=(x_2-x_1)^2+(y_2-y_1)^2[/tex][tex]r^2=(6-2)^2+(8-10)^2[/tex][tex]r^2=4^2+(-2)^2=16+4 = 20[/tex]Use the equation of circle:
(x - h)² + (y - k)² = r²We know that (h, k) is the center (6, 8), substitute into above equation:
(x - 6)² + (y - 8)² = 20
(b) Do you think it would be a good idea to rotate the candidate choices in
the question? Why?
A. Yes, to avoid response bias
B. Yes, to confuse the respondents
O C. Yes, to make the resulting counts all closer to each other
D. There is no need to rotate the choices.
Answers
From the information, it would be a good idea to rotate the candidate choices A. Yes, to avoid response bias.
Response bias
From the complete question, it should be noted that a good idea to rotate the candidate choices in order to avoid response bias.
When conducting any survey that has multiple choices, the respondents have a tendency to quickly finish up the survey by answering the survey questions quickly.
In this process, this can lead to bias towards the first and last choice. Since the sample of 20 registered voters was surveyed, it is wise to rotate the candidate choices.
Learn more about response bias on:
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Find the y-intercept and the x-intercept of the line below. click on none of applicable.
Answers
Answer:
X-intercept: (4,0)
Y-intercept: (0,2)
Step-by-step explanation:
The x-intercept is where the line intersects with the x-axis. The y-intercept is where the line intersects with the y-axis.
As you can see, the line goes through the y-axis at (0,2) and the x-axis at (4,0).
Therefore, the x-intercept is (4,0) and the y-intercept is (0,2).
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Answer:
Y-Intercept = 2
X-Intercept = 4
Step-by-step explanation:
The y-intercept is the point where your line has an x-value of 0. Here, where that is, is the point (0,2) (x,y)
The x-intercept is the point where your line has a y-value of 0. Here, where that is, is the point (4,0) (x,y)
solve for x ~
[tex]4x - 7 = 5[/tex]
thankyou ~
Answers
We have that the value of x is mathematically given as
x=3
ArithmeticQuestion Parameters:
4x-7=5
Generally the equation for the Question is mathematically given as
4x-7=5
Therefore
[tex]x=\frac{5+7}{4}[/tex]
x=3
Therefore
Value of x is
x=3
For more information on Arithmetic visit
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QUESTION ON PIC THANK YOU BRAINLIEST!
Answers
Answer:
125
Step-by-step explanation:
take 180-55 and you have your answer
Use Venn diagram of prime factors to show the heck and Lcm of 15 and 22
Answers
Answer:
330
Step-by-step explanation:
I don't know what it wants you to use, you can see intuitively that you must multiply the 22 by a multiple of 5
22 x 5 = 110
110 / 15 = 7.3
22 x 10 = 220
220 / 15 = 14.6
22 x 15 = 330
330 / 15 = 22
About how long is the fence around the field
Answers
Answer:
can u show pictures?
Step-by-step explanation:
help me with differentation and integration please!!
Answers
Answer:
See below
Step-by-step explanation:
[tex]\dfrac{d}{dx} (\tan^3 x) = 3\sec^4 x - 3\sec^2 x[/tex]
Recall
[tex]\dfrac{d}{dx}\tan x=\sec^2[/tex]
Using the chain rule
[tex]\dfrac{dy}{dx}= \dfrac{dy}{du} \dfrac{du}{dx}[/tex]
such that [tex]u = \tan x[/tex]
we can get a general formulation for
[tex]y = \tan^n x[/tex]
Considering the power rule
[tex]\boxed{\dfrac{d}{dx} x^n = nx^{n-1}}[/tex]
we have
[tex]\dfrac{dy}{dx} =n u^{n-1} \sec^2 x \implies \dfrac{dy}{dx} =n \tan^{n-1} \sec^2 x[/tex]
therefore,
[tex]\dfrac{d}{dx}\tan^3 x=3\tan^2x \sec^2x[/tex]
Now, once
[tex]\sec^2 x - 1= \tan^2x[/tex]
we have
[tex]3\tan^2x \sec^2x = 3(\sec^2 x - 1) \sec^2x = 3\sec^4x-3\sec^2x[/tex]
Hence, we showed
[tex]\dfrac{d}{dx} (\tan^3 x) = 3\sec^4 x - 3\sec^2 x[/tex]
================================================
For the integration,
[tex]$\int \sec^4 x\, dx $[/tex]
considering the previous part, we will use the identity
[tex]\boxed{\sec^2 x - 1= \tan^2x}[/tex]
thus
[tex]$\int\sec^4x\,dx=\int \sec^2 x(\tan^2x+1)\,dx = \int \sec^2 x \tan^2x+\sec^2 x\,dx$[/tex]
and
[tex]$\int \sec^2 x \tan^2x+\sec^2 x\,dx = \int \sec^2 x \tan^2x\,dx + \int \sec^2 x\,dx $[/tex]
Considering [tex]u = \tan x[/tex]
and then [tex]du=\sec^2x\ dx[/tex]
we have
[tex]$\int u^2 \, du = \dfrac{u^3}{3}+C$[/tex]
Therefore,
[tex]$\int \sec^2 x \tan^2x\,dx + \int \sec^2 x\,dx = \dfrac{\tan^3 x}{3}+\tan x + C$[/tex]
[tex]$\boxed{\int \sec^4 x\, dx = \dfrac{\tan^3 x}{3}+\tan x + C }$[/tex]
Solve 5x + 2y = 7
10x + 4y = 14 (1 point)
A- (2, 3/2)
B- Infinitely many solutions
C- (1,1)
D- No solution
Answers
unit 8: polygons and quadrilaterals homework 1: angles of polygons
Answers
To calculate the sum of the interior angles of a polygon we must take into account the following formulas: x = (n - 2) × 180°, and y = sum of the interior angles ÷ number of sides.
How to calculate the sum of the interior angles in a polygon?To calculate the sum of the interior angles of a polygon we must take into account the following formula:
x = (n - 2) × 180°In this formula the value of n represents the number of sides of the polygon. It should be noted that this formula is used when the polygon is irregular, that is, it does not have all the equal sides.
For polygons that are regular we must use the following formula: x = sum of interior angles ÷ number of sides.
According to the above, if we have an irregular pentagon we could calculate the sum of its internal angles as follows:
x = (5 - 2) × 180°x = 3 × 180°x = 540°On the other hand, if the pentagon is regular, we apply the formula above and then the second formula as shown below:
x = (5 - 2) × 180°x = 3 × 180°x = 540°y = 540° ÷ 5y = 108°Note: This question is incomplete because the question is missing. This is the complete question.
How to Calculate the sum of interior angles in a pentagon?Learn more about polygon in: https://brainly.com/question/2511126
Find the slope of the line that is parallel and perpendicular to the line through the pair of points (-2,-7) and (6,6) plss help pls
Answers
Answer:
parallel slope = [tex]\frac{13}{8}[/tex] , perpendicular = [tex]\frac{-8}{13}[/tex]
Step-by-step explanation:
to find slope, formula: [tex]\frac{y2-y1}{x2-x1}[/tex]
: [tex]\frac{6--7}{6--2}[/tex]
: [tex]\frac{13}{8}[/tex]
if parallel, same slope, so slope = 13/8
if perpendicular, slope = -1/n = -1/13/8 = -8/13 is the perpendicular slope.
Find the area or the triangle 874 42 437
Answers
Answer:
1353
Step-by-step explanation:
LOL I ADDED THEM I dont know IF THIS IS THE RIGHT ONE.IF IT IS UR WELCOME IF ITS NOT SORRY I JUST ADDED
If two dice are rolled, what is the probability that the sum of the dots on the upward faces is 10
Answers
$ 1.0
Dice 1 and dice 2
4 and 6
5 and 5
5 and 5
6 and 4
6 × 6 is 36 possibilities
4/36 = 1/9
Stella has $500 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
• She buys a new bicycle for $402.96.
• She buys 3 bicycle reflectors for $4.56 each and a pair of bike gloves for $28.21.
• She plans to spend some or all of the money she has left to buy new biking outfits
for $65.69 each
Which inequality can be used to determine o, the maximum number of outfits Stella
can purchase while staying within her budget
Answers
Answer:
65.69o+444.85≤500
Step-by-step explanation:
