Answers
9514 1404 393
Answer:
45 cm²38 cm²Step-by-step explanation:
The conventional way to work these problems is to make use of the formulas for areas of a triangle, rectangle, and semicircle. If you've used these formulas for a while, you recognize that they give you certain relationships that may make these problems easy to do mentally.
__
1. The area of a triangle is half the product of height and width, so is equivalent to the area of a rectangle either half as high, or half as wide. We note that the width of the sail is 5 cm, so half that is 2.5 cm--exactly the same as the height of the boat's hull. That means we can add the height of the sail to the length of the boat, and the total area can be considered to be the same as that of a rectangle that is
2.5 cm high × (12 cm + 6 cm) long = (2.5)(18) cm² = 45 cm²
__
2. The usual formula for the area of a circle is ...
A = πr²
When expressed in terms of diameter, this becomes ...
A = π(d/2)² = (π/4)d²
Then the area of a semicircle is half that, or (π/8)d². This is equivalent to the area of a rectangle that is "d" wide and "π/8·d" high. That is, the approximate area of the semicircle is that of a rectangle 4 cm high by (π/8·4 cm) = π/2 cm wide. In other words, the semicircle effectively adds π/2 cm to the left end of the 6 cm central rectangle of the figure.
As discussed above, the area of a triangle is equivalent to the area of a rectangle half as high. In this figure, the triangle is 10-6 = 4 cm wide, so can be considered to contribute 4/2 = 2 cm to the right end of the 6 cm central rectangle.
If we consider π ≈ 3, then the approximate area of the figure is ...
(4 cm)(3/2 cm + 6 cm + 2 cm) = (4)(9.5) cm² = 38 cm²
__
The exact value is 4(8+π/2) = 32+2π ≈ 38.283 cm².
Related Questions
Leslie shows a funny video to 5 of her friends. Every hour, the video
views triple. Leslie shows a funny video to 5 of her friends. Every hour, the video
views triple. How many people saw the video on the 7th hour? many total people saw the video after the 7th hour?
Answers
Answer:
10,935 views
Step-by-step explanation:
We can first design a formula for this scenario. Since the views triple this means that the initial views (i) needs to be multiplied by 3. Since this happens every hour we need to raise 3 to the power of the number of hours (h) that has passed by. This would give us the total number of views at that hour. Therefore, the formula would be the following...
i * [tex]3^{h}[/tex]
We can input the values given to us into the formula and solve it for the total number of view. The initial number of views would be 5 (one for each friend) while we are trying to find the total number of views in the 7th hour.
5 * [tex]3^{7}[/tex]
5 * 2187
10,935 views
Which of the following is the midpoint between (8, 1) and (-2, -5)?
(2, -1)
(2, -2)
(3, -1)
(3, -2)
Answers
Step-by-step explanation:
2,-1
if it helps you then please make me brainliest
Input point coordinates
Answer: (3,-2)
PLZ HELP FAST how much will it cost to pump one litre of fuel in to the tank what is the unit rate
Answers
Answer:
87 unit rate
Step-by-step explanation:
und frau und
milller
Answer:
87
Step-by-step explanation:
plzzz help I picked A already and it was wrong
Answers
Answer:
probably C I'm terrible at math but that look about right
11. A man is buying a lot which measures 7,860 square meters. How many
hectares of land is he buying?
A. 78,600 hectares
B. 0.7860 hectare
C. 786,000 hectare
D. 0.07860 hectare
Answers
Answer:
C. 786,000 hectare
Step-by-step explanation:
This question can be solved by proportions, using conversion of units.
Each hectare has 10 000 square meters.
So 7,860 square meters is equal to:
7,860*10000 = 786,000 hectares
The answer is given by option C.
Principal: $2600
Rate: 3%
Time: 3 years
What is the interest made?
Answers
Answer:
$234
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year,
then, solving our equation
I = 2600 × 0.03 × 3 = 234
I = $ 234.00
The simple interest accumulated
on a principal of $ 2,600.00
at a rate of 3% per year
for 3 years is $ 234.00.
Answer:
$234
Step-by-step explanation:
I can't simplify
5-2(-4x+10)-5x
Answers
Answer:
5-2(-4x+10)-5x----open brackets and multiply
5+8x-20-5x----combine like terms
8x-5x+5-20
3x-15
3(x-5)
Answer:
Simplified : 3x - 15
Step-by-step explanation:
5 - 2(-4x + 10) - 5x
5 + 8x - 20 - 5x
5 + 3x - 20
3x - 15
The circumference of a circle is 137 m. Find its diameter, in meters.
Answers
Step-by-step explanation:
[tex]137 = 2\pi \times r \\ r = \frac{137}{2\pi} = 21.8045232 \\ diameter = 2 \times r = 43.609 \\ = 43.61 \: m[/tex]
what is the quotient of 8/9
and 2/3
Answers
Answer:
ractions division calculator is an online basic math function tool to find what's the equivalent fraction for dividing 8/9 by 2/3. 8/9 ÷ 2/3 = 24/18 as simplified as 4/3 in fraction form. 8/9 ÷ 2/3 = 1.3333 in decimal form.
Step-by-step explanation:
In the accompanying diagram, CD EF, AB is a transversal, m DGH = 2x , and m FHB = 5x - 51. Find the measure, in degress, of BHE??
Answers
Answer:17
Step-by-step explanation:
2x=5x−51
−3x=−51
x=
3
51
x=17
Adelphi is 34.3 miles east of sterling. The distance between Adelphi and sterling is
Answers
Answer:
34.3 miles
Step-by-step explanation:
34.3 miles
Answer:
24.55
Step-by-step explanation:
Can someone please answer this I am in need of help? NOW
Answers
Answer:
3 and 4
Step-by-step explanation:
a complemantary angle is 2 angles that equal 90* so 3 and 4
List the cofficient in the following expression 3x+4+a+6y
Answers
Answer:
it's 3 in 3x and 6 in 6y I think but im not sure i haven't done this in a while
Angle B has a measure of 2.5 radians. A circle with a radius length of 2.6 cm is centered at Angle B's vertex. What is the length of the subtended arc along this circle?
______ cm
Answers
9514 1404 393
Answer:
6.5 cm
Step-by-step explanation:
The length (s) of an arc of a circle of radius r and angle θ is ...
s = rθ . . . . where θ is in radians
For your values, the arc length is ...
s = (2.6 cm)(2.5 radians) = 6.5 cm
The length of the subtended arc is 6.5 cm.
What is the mean income of the following three people surveyed? Person A: S22,000, Person B: $31,000, Person :
$21,000. Round to the nearest $100
Answers
Answer:
$24,700
to get this answer you add all the numbers together so in this case 22,000 31,000 and 21,000 and you get 74,000 then you divide by how many numbers you originally had so in this case 3. so you get 24,666.666666667 and since the tens place is 5 or higher you round the hundreds up one so you get 24,700.
Here's the work
22,000+31,000+21,000=74,000
74,000÷3=24,666.666666667
which rounds to 24,700
WILL MARK BRAINLIEST PLS HELP MEE
Answers
Answer:
17.93
Step-by-step explanation:
y= 2.11x+5.27
x= the # of years
y=total
2000---->2006, six years have past
y=2.11(6)+5.27
y=17.93
what is 4(5a+b)−9a+3 Simplified
Answers
Answer:
11a+4b+3
Step-by-step explanation:
help help help help help help
Answers
Answer:
1.parenthesis, exponents, multiplication, division, addition, subtraction (pemdas is the Oder of operations)
2. please enjoy my dish and seafood
3.14
4. 4
5. 5
6. 7
7.25
what is 3,600 divided by 4
Answers
Answer:
900
Step-by-step explanation:
HHEEELPPP me PLEASEE ill mark you brainlyyy
Answers
An art class costs $45 for materials and then
$10 per class. Write an equation to represent
the total spent for any given number of art
classes. Identify your variables.
Answers
Simplify: |5.74 + 2.89| – |16.20 + 41.32|
Answers
Answer:
-48.89
Step-by-step explanation:
|5.74 + 2.89| – |16.20 + 41.32
|8.63| – |57.52|
= - 48.89
2 ÷ 24.42 = ?
......
.
....
Answers
Answer:
12.21
Step-by-step explanation:
how Can I explain that 5/8 2/3 and 3/8 are in order?
Answers
Which of the following numbers can be expressed as a decimal that terminates?
9/7, 5/3, 3/2, 6/4
A: 9 over 7 and 5 over 3
B: 5 over 3 and 3 over 2 Which of the following numbers can be expressed as a decimal that terminates?
9 over 7, 5 over 3, 3 over 2, 6 over 4
A: 3 over 2 and 6 over 4
B: 9 over 7 and 5 over 3
C: 5 over 3 and 3 over 2
D: 9 over 7 and 6 over 4
(PLS HELP- CORRECT ANSWER GETS BRAINLIESTT)
Answers
The answer to this question is C.
Answer: actual answer is 3 /2 and 6/4 because I used a caculator to find my answer.
Step-by-step explanation:
Angle C has a measure of π/6 radians. A circle with a radius length of 10 inches is centered at Angle C's vertex. What is the length of the subtended arc along this circle?
 inches
Answers
Answer:
Step-by-step explanation:
arc length = rθ = 10·π/6 = 5π/3 ≅ 5.2 inches
what law of exponent is shown by (4³)⁴ = 4¹²
Answers
how to Find the product of 68 x 37
Answers
Answer:
our answer will be: 68 x 37 = 2516. To find any product in the future on your own, just remember that ...
Step-by-step explanation:
Answer:
2516
Step-by-step explanation:
multiply 7 by 8 and carry the 5
68
x 37
6
multiply 7 by 6 and add the carried 5
68
x 37
476
multiply 3 by 8 and carry the 2 but skip a space directly under 6 when you write it bc there's 2 digits
68
x 37
476
4
multiply 3 by 6 and add the carried 2
68
x 37
476
+ 204 now add
2516
Noah is a lawyer last year he made 92,000 is he has to pay 22% in income tax what is the amount of income tax he needs to pay
Answers
Answer:
i have no idea
Step-by-step explanation:
Directions: Please choose ONE (you may answer all if you would like) question. Make sure to EXPLAIN your work. NO EXPLANATION=NO FULL CREDIT
Is the table proportional? Explain why or why
not.
If it is proportional, what is the constant of
proportionality?
What is the equation?
Answers
Answer:
Is the table proportional? Explain why or why not
Step-by-step explanation:
No, because all the ratios of y to x are not equal.