A furniture designer builds a trapezoidal desk with a semicircular cutout. What is the area of the desk?
Answers
Answer:
[tex]Area = 26478cm^2[/tex]
Step-by-step explanation:
Given
See attachment for desk
Required
The area
First, calculate the area of the semicircular cutout
[tex]Area = \frac{\pi r^2}{2}[/tex]
Where
[tex]r = 60cm[/tex]
So:
[tex]A_1 = \frac{3.14 * 60^2}{2}[/tex]
[tex]A_1 = \frac{11304}{2}[/tex]
[tex]A_1 = 5652cm^2[/tex]
Next, the area of the complete trapezium
[tex]Area= \frac{1}{2}(a + b) * h[/tex]
Where
[tex]a = 300[/tex]
[tex]b = 2 * r = 2 * 60 = 120[/tex]
[tex]h = 153[/tex]
So:
[tex]A_2 = \frac{1}{2} * (300 + 120) * 153[/tex]
[tex]A_2 = \frac{1}{2} * 420 * 153[/tex]
[tex]A_2 = 32130cm^2[/tex]
The area of the desk is:
[tex]Area = A_2 - A_1[/tex]
[tex]Area = 32130cm^2 - 5652cm^2[/tex]
[tex]Area = 26478cm^2[/tex]
Related Questions
PLEASE HELP ME !ASAP!!
Q1)What is the sum of the finite arithmetic series −10, −8, −6, −4, ...24?
show work !!
Q2)You are trying to save $1500. You begin with $5 and save $3 more than the previous amount each week for 30 weeks. Will you meet your goal? Explain. Show work
Answers
Solution :
First term, a₀ = -10 .
Common difference of A.P. , d = -8 - (-10) = 2 .
Last term, aₙ = 24 .
We know, last term is given by :
aₙ = a₀ + (n-1)d
24 = -10 + (n-1)×2
2n - 2 = 34
n = 18
Now, sum of series is given by :
[tex]S_n = \dfrac{n}{2} \times ( 2a+(n-1)d)\\\\S_n = \dfrac{18}{2} \times ( 2\times -10 + ( 18 -1) \times 2)\\\\S_n = 126[/tex]
Hence, this is the required solution.
please show your work
Answers
Answer:
a) - 10
Step-by-step explanation:
The two angles are vertical angles:
Angles that have a common vertex and whose sides are formed by the same lines.
Therefore, set your formula up as following
x+5=2x-5
x + 5 - 2x = -5
-x + 5 = -5
-x = -10
What is the simplest form of b/bc ??
Answers
Ans c
Find the value of x for the given triangle.
12
19°
Х
Answers
Answer:
180
Step-by-step explanation:
It is one. A strait line so it is 180
Help fast, thanks. Will mark brainliest. No links!!
Write the quadratic equation in standard form:
2x^2 - x - 17 = -5
Answers
Answer:
In Standard form...
2x² - x -17 +5 = 0
2x² - x - 12 = 0.
Have a great day bro!
Can someone help me with this question ?
Answers
The angle of elevation is 52°, so that must be inside the tan function.
Tan is the ratio of the opposite side to the adjacent side. Jessica’s height is unknown, so we can call that x. The adjacent side of the triangle is the shadow, which is 29’m. Since tan is opposite over adjacent (remember SOH CAH TOA), the fraction must be x/29.
What is the value of x?
76+71=124
Answers
Answer:
48
Step-by-step explanation:
x=48
Answer:
Step-by-step explanation:
124
this is the answer i think
41. Steven wants to buy a $535 bicycleSteven has no money saved, but will be able to deposit $30 into a savings account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give his sister $65 that he owes her. For how many weeks will Steven need to deposit money into his savings account before he can pay back his sister and buy the bike?
Answers
Answer:
17 weeks of deposits will pay for his bike and his sister
Step-by-step explanation:
the area of hanks farm is n acres. the area of hank's farm is 8 times as large as the area of stans farm
a. if s represents the area of Stan's farm express s in terms of n
b. state the independent and dependent variables in the equation
+ 50 points and brainlist
Answers
Step-by-step explanation:
a. s = n/8
b. the independent variable is s
the dependent variable is n
What similarity statement can you write relating the three triangles in the diagram.
Answers
Answer:
c. triangle JMK....triangle LMK.....triangle JLM
(b) factorise
(3m-1)(6-a)-(m+3)(6-a)
Answers
Answer:
Step-by-step explanation:
(3m-1)(6-a)-(m+3)(6-a)
=3m(6-a)-1(6-a)-m(6-a)+3(6-a)
=18m-3ma-6+a-6m+ma+18-3a
=12m-2ma+12-2a
=2(6m-ma+6-a)
what is the value of x in the equation 5x-7=28
Answers
5x -7 = 28
Add 7 to both sides:
5x = 35
Divide both sides by 5:
X = 7
The answer is x = 7
Which equation represents the line that passes through the points (-1, 3) and (4, -2) ?
Answers
Answer:
y=-1/3x+3/8
Step-by-step explanation:
A stack of 500 pieces of paper is 1.875 inches tall. Compute the thickness of each piece of paper. Show your reasoning.
Answers
Answer:
0.003750 inches
If the thickness of 500 pieces is given as 1.875. the thickness of one sheet of paper can be determined by dividing the total inches by 500
Thickness of each paper = thickness of total paper / 500
1.875 / 500 = 0.003750 inches
Step-by-step explanation:
Answer:
If the thickness of 500 pieces is given as 1.875. the thickness of one sheet of paper can be determined by dividing the total inches by 500
Thickness of each paper = thickness of total paper / 500
1.875 / 500 = 0.003750 inches
Step-by-step explanation:
On Sunday Sheldon bought 4 1/2 kg of plant food. He used 1 2/3 kg of plant food on his strawberry plants and used 1/4 kg of plant food on his tomato plants.
Answers
Answer:
27/12 KG
Step-by-step explanation:
On Sunday, Sheldon bought 4 1/2 kg of plant food. He used 1 2/3 kg on his strawberry plants and used 1/4 kg on his tomato plants. How many kilograms of plant food did Sheldon have left?
41/2 - (12/3 + 1/4)
[tex]1\frac{2}{3} + \frac{1}{4}[/tex]
[tex]1\frac{8 + 3}{12}[/tex] = 1 11/12
[tex]4\frac{1}{2} - 1\frac{11}{12}[/tex]
[tex]3\frac{6-11}{12}[/tex] = 2 7/12
There are 2.54 Centimeters in 1 inch . THere are 100 Centimeters in 1 meter
To the nearest Meter, how many meters are in 360 inches
Answers
Answer:
9.144meters
Step-by-step explanation:
Given data
We are expected to perform unit conversion in this problem
2.54cm is equivalent to 1 inch
100cm equal to 1 meters
360 inches to cm will be
=360*2.54
= 914.4cm
914.4cm to meters will be
=914.4/100
=9.144meters
Can anyone please help me thank you
Answers
Answer:
[2, 4]
Step-by-step explanation:
[2, 4]
The value of which of these expressions is closest to e?
Answers
Answer:
the answer is D
Step-by-step explanation:
Got it wrong on the A*pex test D is the correct answer
1+(1/30)30
What is 8.35, 345.67, 98.43, 90.8 and 25.45 in expanded form?
Answers
Answer:
558.0981
Step-by-step explanation:
5.67, 98.43, 9What is 8.35, 345.67, 98.43, 90.8 and0.8 and 25.45 in expanded form?
Mr.Jamison brought 15 tubs of paint for the art classes he teaches for his Elementary kids. He paid $63.90 for the paint.If each tube of paint costs the same amount, what was the price of one tube?
Answers
Answer:
$4.26
Step-by-step explanation:
63.90 divide by 15 = $4.26
the price of one tube is $4.26
PLEASE HELP ME! THANKS SO MUCH!! EXPLAINING THE ANSWE = BRAINLIEST
The city of Redmond is planning to build a new park by enlarging the current park by a scale factor of 3. The current park has an area of 30,125 yd².
The area of the new park is ___ yd².
Answers
Answer:
The answer is 602,000 yd^2.
Step-by-step explanation:
just multiply the original area by 16
37625 times 16= 602000
Answer:
The answer is 602,000 yd^2.
Step-by-step explanation:
37625 multiply 16 = 602000
Hope this answer helps you :)
Have a great day
Mark brainliest
what is 60 written as a product of a factor greater than 1?
Answers
Answer:
I think the answer to your question is 12?
Step-by-step explanation:
I hope this helps, have a nice day
I will give you BRAINLIEST AND 1 MILLION DOLLARS IS YOU ANSWER THIS
Part A: Factor 3x2a2 − 5xa2 − 2a2. Show your work. (4 points)
Part B: Factor x2 − 10x + 25. Show your work. (3 points)
Part C: Factor x2 − 81. Show your work. (3 points)
Answers
Answer:
Answer is in bold.
Step-by-step explanation:
Factor 3x2a2 − 5xa2 − 2a2.
3x2a2 − 5xa2 − 2a2=
a2(3x2 − 5x − 2)=
a2((x-2)*(x+(1/3)))
Part B: Factor x2 − 10x + 25.
x2 − 10x + 25.= (x-5)*(x-5)
Part C: Factor x2 − 81.
x2 − 81=(x-9)*(x+9)
[tex]x^{2}[/tex]-81
[tex]x^{2}[/tex]+9x-9x
Which of the graphs correctly shows the set {-7, -2, 7}?
A) A
B) B
C) C
D) D
Answers
Using the figure shown, match each Trigonometic Ratio to the ratio of the sides.
Answers
Answer:
Step-by-step explanation:
Sin(A) = a/c
Cos(A) = b/c
Tan(A) = a/b
Answer:
Solution given:
Trigonometic Ratio to the ratio of the sides. are.
SinA=a/c
CosA=b/c
TanA=a/b
Find tanθ + sinθ for the angle below.
Answers
tan( tehta ) = 2/3
Sin( tetha ) = 2/√13
tan( tetha ) + Sin( tetha ) = 2/3 + 2/√13
= 2√13 + 6 / 3√13
What is the slope of the line passing through the points
(-7, -6) and (5, -9)?
A -4
B-1/4
C 0
D undefined
Answers
y2-y1
———
x2-x1
Find the length of the hypotenuse
Answers
Answer: The answer is “10cm”
Step-by-step explanation: To get to this answer we first need to know the formula for find the hypotenuse which is a^2 + b^2 = c^2. A and B are the two sides in this case a and b are 8 cm and 6 cm. Then you plug in the values into the equation, it looks like this 8^2 + 6^ = c^2 once you solve you get 64 + 36 = c. When you add 64 and 36 you get 100 but their is one more step. You must find the square root of 100 which is 10. So your answer for the hypotenuse is “10cm”
Have a nice day!
6x^8 + 4x^5 + (n + 1)x^2-n / 10x - 10
quien me ayuda
Answers
Answer:
parte 1) | Superprof
1 Indica cuáles de las siguientes expresiones son monomios. En caso de ... 4 Encuentra el valor numérico del polinomio P(x) = x^3 + 3x^2 - 4x - 12 ... d) (10x – 5/4x³ + 5/2x² – 1/2) : (5x)
What is the equation of the line that passes through (5,-2) and (-3,4)
Answers
Answer:
y = -3/4x + 7/4
Step-by-step explanation:
y2 - y1 / x2 - x1
4 - (-2) / -3 - 5
6 / -8
= -3/4
y = -3/4x + b
4 = -3/4(-3) + b
4 = 9/4 + b
7/4