Answers
Exact Answers:
Area = 150.5*sqrt(3)Perimeter = 57+7*sqrt(3)Approximate Answers:
Area = 260.673646539Perimeter = 69.12435565======================================
Explanation:
Your diagram is 100% correct. Nice work.
To get the area of the trapezoid, we could use the area of a trapezoid formula below:
A = h*(b1+b2)/2
In this case, we have,
h = 7*sqrt(3) = heightb1 = 18 = base1b2 = 25 = base2the bases are parallel to each other. The height is always perpendicular to the base. We won't use the "14" at all.
So,
A = h*(b1+b2)/2
A = 7*sqrt(3)*(18+25)/2
A = 7*sqrt(3)*21.5
A = (7*21.5)*sqrt(3)
A = 150.5*sqrt(3)
This is the exact area.
The approximate area is roughly
150.5*sqrt(3) = 260.673646539
The units for the area are in square km, or km^2. Though your teacher said for you not to include the units.
Another way to get the area of the trapezoid is to break the diagram into a rectangle and triangle as you have done so, and then find the area of each sub-piece. Adding the two smaller areas should lead to the result shown above.
-----------------------------------
To get the perimeter, we add up all of the exterior sides. We do not include the right-most vertical line that is 7*sqrt(3) km long because it is inside the figure. The horizontal segment that is 7 km long is part of the "25 km" segment, so we'll ignore that 7.
Adding the four exterior sides leads to:
7*sqrt(3)+18+14+25 = 57+7*sqrt(3)
This value is exact. It approximates to
57+7*sqrt(3) = 69.12435565
The units for the perimeter are in kilometers, and you won't have any exponent over the "km". While your teacher doesn't want the units, it's still handy to know what the units would be.
Step-by-step explanation:
solution given:
for rectangle
length [l]=18km
breadth [b]=7√3 km
for triangle
base[b1]=25-18=7km
height [h]=b=7√3km
for area :area of. (rectangle +triangle}=
l×b+1/2 b1×h=18×7√3+1/2 ×7×7√3=260.67km²
now
perimeter=sum of all sides
=18+14+25+7√3=69.12km
is your answer
Related Questions
A firm offers routine physical examinations as part of a health service program for its employees. The exams showed that 22% of the employees needed corrective shoes, 29% needed major dental work, and 3% needed both corrective shoes and major dental work. What is the probability that an employee selected at random will need either corrective shoes or major dental work
Answers
Answer:
0.48 = 48% probability that an employee selected at random will need either corrective shoes or major dental work
Step-by-step explanation:
I am going to solve this question treating these events as Venn probabilities.
I am going to say that:
Event A: Employee needed corrective shoes.
Event B: Employee needed major dental work.
22% of the employees needed corrective shoes
This means that [tex]P(A) = 0.22[/tex]
29% needed major dental work
This means that [tex]P(B) = 0.29[/tex]
3% needed both corrective shoes and major dental work.
This means that [tex]P(A \cap B) = 0.03[/tex]
What is the probability that an employee selected at random will need either corrective shoes or major dental work?
This is:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
Replacing the values that we have:
[tex]P(A \cup B) = 0.22 + 0.29 - 0.03 = 0.48[/tex]
0.48 = 48% probability that an employee selected at random will need either corrective shoes or major dental work
Can someone please explain the answer step by step pls.
Answers
Answer:
a) x= 29, y= 87
b) x= 19, y= 45
Step-by-step explanation:
Q5. a) Let the first number be x and the second number be y.
The sum of 2 integers is 116.
x +y= 116 -----(1)
The second number is three times the first number.
y= 3x -----(2)
Substitute (2) into (1):
x +3x= 116
4x= 116
x= 116 ÷4
x= 29
Substitute x= 29 into (2):
y= 3(29)
y= 87
b) Let the smaller number be x and the larger number be y.
x +y= 64 -----(1)
y -x= 26 -----(2)
Since we have to use substitution to solve the equations, let's first rewrite an equation to make one of the variables the subject of the equation.
From (1):
x= 64 -y -----(3)
Substitute (3) into (2):
y -(64 -y)= 26
y -64 +y= 26 (expand bracket)
2y= 26 +64 (simplify, +64 on both sides)
2y= 90
y= 90 ÷2
y= 45
Substitute y= 45 into (3):
x= 64 -45
x= 19
solve 9x-10÷2=x+9
explain how
Answers
Answer:
x = 4
Step-by-step explanation:
In ΔSTU, the measure of ∠U=90°, the measure of ∠S=16°, and TU = 5.9 feet. Find the length of ST to the nearest tenth of a foot.
Answers
Answer:
21.4
Step-by-step explanation:
(5+2×8)/6=x(4+6) what is the value of x ?
Answers
Answer:
Step-by-step explanation:
Answer:
x= 7/20
Step-by-step explanation:
(5+2×8)/6=x(4+6)
(5+16) /6 = 4x+6x
21/6=10x (divide 21/6 by 3)
7/2=10x
7/2×1/10= x
x= 7/20
Hope this helps :)
Keep Smiling
Is the following relationship a function?
Answers
Answer:
yes it's a inverse function
Answer:
Yes it is
Step-by-step explanation:
To remeber, if none of the lines overlap or crosses each other, its a function.
Can you help me solve this question
Answers
Answer:
t = 32
Step-by-step explanation:
The given equation is :
[tex]24=\dfrac{3}{4}t[/tex] ....(1)
Where
t is the number of guests attending the catered event.
The reciprocal of [tex]\dfrac{3}{4}[/tex] is [tex]\dfrac{4}{3}[/tex].
Multiplying both sides by the reciprocal of [tex]\dfrac{3}{4}[/tex].
[tex]24\times \dfrac{4}{3}=\dfrac{3}{4}\times \dfrac{4}{3}t\\\\t=8\times 4\\\\t=32[/tex]
Hence, 32 guests will attend the catered.
12. The value of 0.23 +0.22 is
Answers
Answer:
0.45
Step-by-step explanation:
I hope this helps :)
Answer:
x= 0.2323 1
10x =2.323 2
100x= 23.23 3
on subtracting 1 from 3
99x= 23
x = 23/99
similarly 0.22 will be 22/ 99
so by adding 23/99 and 22/ 99 we get required value
23/99 + 22/99 = 45/ 99
please help!!!
i would really apreciate it
Answers
Answer:
it should be the graph on the bottom right
Step-by-step explanation:
The income should be more than the cost in order to make a profit and that happens for Leanne when she sells 8 quilts, so the 8 should be on the x-axis (the axis named "Quilts Sold")
The income should be 0 in the beginning bc when she sells 0 quilts she will be earning 0.
after selling 8 quilts her income will be higher than her costs
(Though naming the y-axis as "profit" is not accurate bc when she sells 0 quilts she will lose money since she will be spend money to make the quilts but not earn the money to compensate for the cost).
with all of these reasons combined the correct should be the one on the bottom right
For brainliest please help!
Answers
Answer:
I think its y-x, if y >x.
Step-by-step explanation:
Gus bought a salad for $6 and two pizza's. If he paid a total of $36, what equation represents finding the cost of one pizza?
Answers
Answer:
15 dollars each pizza
Step-by-step explanation:
2 pizzas (15 + 15 = 30)
30 + 6 = 36
Answer:
15
Step-by-step explanation:
15+15=30+6 =36
What is the volume of the figure below if each unit cube has a side length of one centimeter?
A.12cm3
B.24 cm3
C.36 cm3
D.48 cm 3
Answers
Answer: C
Step-by-step explanation:
The scatterplot below shows a data set
and an approximate trend line for the
data.
7
6
5
3
1
0 10 20 30 40 50 60 70
Which is the best estimate of the value of
x that corresponds to y = 3? (8.18, 8.10,
SIE, SIF)
Where does
F 35
the line y = 3
G 25
intersect the
trend ine?
H 50
10
Answers
help please! by what fraction would you multiply 8 1/2 so that the proudct is about 5 explain your reasiong
Answers
9514 1404 393
Answer:
5/8 or 5/9
Step-by-step explanation:
The fraction will be exactly ...
5/(8 1/2) = 10/17 ⇒ (8 1/2)×(10/17) = 5
__
The fraction will be approximately ...
5/8 or 5/9
The denominator will be a number that makes (8 1/2)/(denominator) ≈ 1. For that denominator, the numerator will be 5, so that we have ...
(8 1/2) × (5/denominator) ≈ 5
(8 1/2)/(denominator) ≈ 1 . . . . . . . . divide by 5
If we want the denominator to be an integer, we could choose either 8 or 9. If we choose 8, the result will be slightly more than 5; if we choose 9, the result will be slightly less.
(8 1/2) × (5/8) = 5.3125 ≈ 5
(8 1/2) × (5/9) = 4.722... ≈ 5
Either 5/8 or 5/9 will give a product of about 5.
Answer:
Step-by-step explanation:
Will give brainlst
Have a nice day
Answers
Answer:
x = 3.5
y = 8x + 12
Step-by-step explanation:
1) Given the equation
12x = 4(x+2)+20
Expand
12x = 4x+8+20
12x - 4x = 28
8x = 18
x = 28/8
x = 3.5
Hence the value of x is 3.5
2) The standard form of equation in slope intercept form is y = mx+c
m is the slope
c is the y intercept
Get the y-intercept
Substitute m = 8 and (0, 12) into y = mx+c
12 = 8(0)+c
12 = c
c = 12
Get the required equation
Recall that y = mx+c
y = 8x + 12
This gives the required equation
In a bowl, there are gum balls. There are 5 red, 7 blue, 3 yellow and 11 purple.
What is the ratio of the following?
10. Purple to Red _____
11. Blue to Yellow _____
12. Yellow to Red _____
13. Purple to Blue _____
A. 11 to 5
B. 11 to 7
C. 3 to 5
D. 7 to 3
Answers
Answer:
10 is A
11 is D
12 is C
and 13 is B
Megan used a reconciliation worksheet provided by her bank. Line 5 should equal line 6 at the end of the reconciliation, but it does not. Friendly Bank Reconciliation Worksheet Amount 1. Enter the statement closing balance. $ 487 13 2. Enter the sum of any outstanding deposits or credits. $ 186 68 3. Add lines 1 and 2. $ 673 81 4. Enter the sum of any outstanding checks or debits. $ 174 01 5. Subtract line 4 from line 3. $ 499 80 6. Enter your checkbook balance. $ 362 60 Note: Lines 5 and 6 should be equal at the end of the reconciliation. Megan wants to first look for a single transaction that could have caused this problem with reconciliation. What is the amount of the transaction that Megan should look for in order to find a solution to the problem? a. $325.79 b. $137.20 c. $12.67 d. $313.20 Please select the best answer from the choices provided A B C D
Answers
Answer:
b
Step-by-step explanation:
Answer:
B. $137.20
Step-by-step explanation:
When you reflect an ordered pair over the origin, what happens to the order pairs?
A The x value stays the same and the y changes.
The y value stays the same and the x changes.
The value for both the x and the y changes.
0 Nothing
Answers
Answer :A
explaination: when we reflect an ordered pair over the origin, we can it write like this (0,y)
{y; 0<y<infinite }
ex: (0,1)
(0,2)
(0,3) etc
Fing Using Addil
The number of boxes of cookies sold by Imelda was 36 more than the number of
boxes of cookies sold by Keiko. The number of boxes of cookies sold by Sarah
was 38 fewer than the number sold by Keiko. Write an algebraic expression for
each quantity. Use x to represent the unknown value.
Answers
Answer:
keiko- x
imelda- x+ 36
Sarah- x- 38
Step-by-step explanation:
keiko is x since we have not been given his number of boxes.because imelda's number of boxes was 36 more than keiko's, you will add the x which is for keiko and 36 for imelda(x+36).and sarah's number of boxes will be x-36 because we have been told her number of boxes is 38 fewer than keiko's.Select the right one that shows an isosceles right triangle.
Answers
Answer:
A or top left
Step-by-step explanation:
Isosceles triangles should have a perpendicular bisector from an angle to the opposite base.
The top left has that factor.
PLEASE HURRY PLEASE :(
Answers
Answer:
Step-by-step explanation:
height after x seconds = -16x² - 2x + 600
-16x² - 2x + 600 = 450
16x² + 2x - 150 = 0
8x² + x - 75 = 0
Quadratic formula
x = [-1 ± √(1² – 4·8(-75))] / [2·8]
= [-1 ± √2401] / 16
= [-1 ± 49] /16
= 3, -3⅛
-3⅛ is an extraneous solution, so x = 3 seconds.
James earns $22.00/hour. One week, he worked 40 regular hours and 5 hours of overtime. What is his GROSS pay?
Answers
Answer:
$1,045
Step-by-step explanation:
40×22=880
22÷2=11
11+22=33
33×5=165
165+880=1,045
Solve for x in the equation x2 + 4x-4-8.
O x= -6 or x = 2
O x--2+/- 2_/2
O x=-2 or x = 6
O x-2+/-2_/3
Answers
so the first option
The solution of the equation is x= -6 or x = 2.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
We have the Equation x²+ 4x -4 - 8 or x² + 4x - 12.
Now Factorizing the equation we get
x² + 4x - 12
= x² + 6x - 2x - 12.
= x (x+ 6) - 2( x+ 6)
= (x -2) (x+ 6)
So, x-2 = 0 or x+ 6= 0
x= 2 or x= -6
Thus, the solution of the equation is x= -6 or x = 2.
Learn more about Equation here:
https://brainly.com/question/29657992
#SPJ7
What is the value of x in the equation of 4x + 1.3 = - 7.9
Answers
Answer:
x = -2.3
Step-by-step explanation:
4x + 1.3 = -7.9
First we want to combine the like terms.
Subtract 1.3 from both sides.
4x = -9.2
Now we want to isolate x by dividing both sides by 4.
x = -2.3
Check your answer by plugging x back into the original equation.
4x + 1.3 = -7.9
4(-2.3) + 1.3 = -7.9
Multiply.
-9.2 + 1.3 = -7.9
Add.
-7.9 = -7/9
Your answer is correct.
Hope this helps!
Step-by-step explanation:
4x + 1.3 = - 7.9
4x = - 7.9 - 1.3
4x = - 9.2
x = - 9.2/4
= - 2.3
Compare and contrast expanding and simptying
algebraic expressions with simplifying numeric
expressions. For example, compare simplifying 3(x - 2) +
(x - 1) with 3(5 - 2) + (5 – 1)
Answers
Answer:
With algebraic expressions, you can’t add and subtract any terms like you can add and subtract numbers. Terms must be like terms in order to combine them. So, you can’t always simplify an algebraic expression by following the order of operations. You have to use the distributive property to rewrite the expression and then combine like terms to simplify. With numeric expressions, you can either simplify inside the parentheses first or use the distributive property first.
Step-by-step explanation:
Welcome for the answer. This answer is for good intentions only, report if necessary. Thank you and have a good rest of your day!Answer:
Algebraic expressions have terms, Terms must be like to add and subtract, You can’t always follow the order of operations with algebraic expressions.
Step-by-step explanation:
3 x ( 15 - 11 ) + 6= ?
help help help
Answers
Answer:
12x + 6
Step-by-step explanation:
20% of a restaurant customers order the chef’s special. 230 customers are anticipated to dine at the restaurant tonight. The standard deviation for this binomial distribution is? Round your answer to 3 decimal places
Answers
Answer:
i don't knwo
Step-by-step explanation:
i
What is the value of x?
Answers
Step-by-step explanation:
[tex] \frac{360 - 2(x + 30)}{2} = x \\ 360 - 2x - 60 = 2x \\ 300 - 4x = 0 \\ 4x = 300 \\ x = 300 \div 4 = 75[/tex]
Answer:
75 degrees
Step-by-step explanation:
In a parallelogram, adjacent angles always add up to 180 degrees. So, for example, A+B=180 and C+B=180.
Therefore, A+D=180.
Because we're given that angle A is (x+30) degrees and angle D is x degrees, we can plug them into the below equation:
[tex](x+30)+x=180[/tex]
Open up the parentheses
[tex]x+30+x=180\\2x+30=180[/tex]
Subtract both sides by 30
[tex]2x-30=180-30\\2x=150[/tex]
Divide both sides by 2
[tex]\frac{2x}{2} =\frac{150}{2} \\x=75[/tex]
Therefore, x is equal to 75 degrees.
I hope this helps!
Pls help extra points and mark brainlist
Answers
Answer:
I think it's the second one y=400x I'm not sure . I hope that I helped you
Answer:
[tex]y=50x[/tex]
Why:
We can tell the slope because for every hour, the car travels 50 miles by simply looking at the graph. This would be a slope of [tex]\frac{50}{1}[/tex], or 50. Because the y-intercept is 0, no intercept appears on the equation. Good luck!
PLZ HELP ASAP (BRAINLIEST + 30 POINTS (show all work)
(7.03) Determine the missing term from the perfect square trinomial. Show ALL work.
x2 − ______+ 36
Write in factored form: ( )2
Answers
Answer:
x² - 12x + 36
factored: (x - 6)(x - 6)