Area of triangle:-
1/2(6)(12)6(6)=36cm²Area of rectangle (Including semicircle)
12(21)252cm²Area of semicircle
πr²/2π(6)²/218πcm²56.52cm²TOTAL area:-
36+252-56.52288-56.52231.48cm²Answer:
231.48 cm²
Step-by-step explanation:
Formulae
Area of a rectangle = width × length
Area of a triangle = 1/2 × base × height
Area of a semicircle = 1/2 πr²
To find the shaded area:
Find the area of the rectangle. Subtract the area of the semicircle from the rectangle. Add this to the area of the triangle.
Area of the rectangle:
= 12 x 21
= 252 cm²
Area of the semicircle:
= 1/2 π(12 ÷ 2)²
= 1/2 · 3.14 · 6²
= 1/2 · 3.14 · 36
= 56.52 cm²
Area of the triangle:
= 1/2 x 6 x 12
= 36 cm²
Shaded area:
= area of rectangle - area of semicircle + area of triangle
= 252 - 56.52 + 36
= 194.48 + 36
= 231.48 cm²
"All rational functions have asymptotes and points of discontinuity." Katlyn wants to put this statement in her math book. Is this statement true? Explain, for her benefit, using 2 examples
Answer:
Not true.
Step-by-step explanation:
A rational function is like P(x) / Q(x) where P and Q are polynomials.
Examples would be x^2 / (x^2 - 2) and x^2 / (x^2 + 2).
Now the first one will have a vertical asymptote at x = √2 because this value would make the denominator zero.
The second one will have no asymptotes because the only value that would make x^2 + 2 = zero is not real (it would be √2i). So the domain of this is all real numbers , and no asymptotes.
What is the answer I need help please
Answer:
i belive the answer is 73
Step-by-step explanation:
45+62=107
180-107=73
Solve for x. Round to the nearest tenth, if necessary.
Answer:
We need to use the sine of 17 degrees to find x. Our proportion is sin(17 degrees)=x/9.3. Multiply both sides by 9.3 and we get 9.3sin(17)=x. Using a calculator, we get about 2.7.
Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
b) cylinder volume = π r^2 h = π*4*3= 12π = 37.68in^3
d) cone volume = .33π r^2 h = .33*π*225*50= 3750π cm^3
f) cuboid volume = l*b*h = 44*19= 836 in^3
e) hemisphere volume = 2/3 π*r^3 = 883.57ft^3
Please helpppppppppp
Answer:
96 pizza slices
Step-by-step explanation:
Make a chart if 1 slice = 1.25, 20 pizza slices will cost 25.00, 50 will cost 62.50. An easy way you coud do it would be divided 120 by 1.25. When yu divided it it will give you 96. So, 96 slices will cost 120.00.
DIRECTIONS: Type your answer in the space provided. The slope must be in fraction form.
What is the equation of the line parallel to the given line through the point (14,0)?
-4x - 7y = 14
Two numbers have a product of -36
They have a sum of -5
What are the two numbers?
Answer:
-9,4
Step-by-step explanation:
Look at the map showing the Austria-Hungarian Empire in about 1900.
Map of ethnic groups in Austria-Hungary in 1867. Prussia, the Russian Empire, Kingdom of Italy, Serbia and Romania are shown along with these ethnic groups: Germans, Poles, Slovenes, Hungarians, Romanians, Italians, Czechs and Slovaks, Croats and Serbs.
What information does the map provide about the Austria-Hungarian Empire?
Answer:
Austria-Hungary was home to many different ethnic groups.
Step-by-step explanation:
hope it helps ;))
questions in the attached img. thanks in advance
Answer:
[tex][tex]\: \blue{ \rule{10pt}{100000pt}}[/tex][tex]\: \pink{ \rule{10pt}{100000pt}}[/tex][tex]\: \green{ \rule{10pt}{100000pt}}[/tex][tex]\: \violet{ \rule{10pt}{100000pt}}[/tex]
\\ [tex]\: \blue{ \rule{10pt}{100000pt}}[/tex][tex]\: \pink{ \rule{10pt}{100000pt}}[/tex][tex]\: \green{ \rule{10pt}{100000pt}}[/tex][tex]\: \violet{ \rule{10pt}{100000pt}}[/tex]
[/tex]
A handkerchief is 20 cm long and 18 cm broad. how much the breadth must be decreased to cover a surface of 324cm²
Answer:
1.8 cm
Step-by-step explanation:
Hope it will help...
There are 30 students in Ava’s class. Nine of them belong to the Pep Club. What fraction of the class are Pep Club members?
Answer:
total no. of students=30
pep club students =9
:=9/30 divide by 3
;=3/10
Is the function even, odd or neither? How do you know?
() = −2^3 - x
Answer:
algebraically" whether a function is even or odd. To do this, you take the function and plug −x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (−x) = f (x), so all of the signs are the same), then the function is even
Step-by-step explanation:
Even functions are symmetrical about the y-axis: f(x)=f(-x). Odd functions are symmetrical about the x- and y-axis: f(x)=-f(-x)
Find the lateral surface area of the triangular prism. refer to your staar 8th grade math reference sheet for the appropriate formula. question 8 options: 90 in2 110 in2 120 in2 130 in2
The lateral surface area of the triangular prism is 130 in sq. So, option D is the correct answer.
What is the lateral surface area of the triangular prism?The lateral surface area of the triangular prism is the product of the perimeter of the base and length.
L = perimeter of the base × length.
The side of the base is given as 7in, 3in, and 3in
and the length is 10in
The lateral surface area of the triangular prism = perimeter of the base × length.
L = (7in + 3in + 3in) 10
L = 13 × 10
L = 130 in sq.
Hence, The lateral surface area of the triangular prism is 130 in sq. So, option D is the correct answer.
Learn more about prism;
https://brainly.com/question/1601740
Answer:
130 ig
Step-by-step explanation:
(If A(2, -3), B(3,-2) and point C divides the line segment AB in the ratio of 1: 2, find OC.)
Answer:
A(2, -3) and B(3, -2), o(0, 0) Let C(x, y)
Here c divide AB line in the ratio of 1:2
From the line intersection law, we get x=(m1×x2+m2×x1)/(m1+m2)
and y=(m1×y2+m2×y1)/(m1+m2)
where m1=1, m2=2, x1=2, x2=3, y1=-3, y2=-2;
so x=(3+4)/3
or, x=7/3;
y=(-2-6)/3
or, y=-8/3;
so, oc=√((0-7/3)²+(0-(-8/3))²)
oc=3.54
What is the answer to this?
Answer:
4 mm
Step-by-step explanation: The height is the same length of the length
Have a good day!
The volume of a rectangular prism is given by V = l×w×h
48 = 3×4×n
48 = 12n
n = 4
Answer:
n = 4
Step-by-step explanation:
The volume of a rectangular prism is given by
V = l×w×h
Subbing in known variables and solving
48 = 3×4×n
48 = 12n
n = 4
Which expression is equivalent to 8 (a minus 6)?
8 a minus 48
2a
8 a minus 6
48a
Answer:
8 a minus 48
Step-by-step explanation:
you need to distribute!!
so you distribute the 8 to both the a and 6
8 times a equals 8 a
8 times 6 equals 48
and so that’s how you get 8 a minus 48 c:
Answer:
8 a minus 48
Step-by-step explanation:
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.
Answer:
Step-by-step explanation:
Answer:
cosA = [tex]\frac{9}{41}[/tex]
Step-by-step explanation:
cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{9}{41}[/tex]
The following box plot shows the class scores on a particular math test:
10
20
30
70
80
90
100
40 50 60
Percent
Which of the following data sets is represented in the box plot?
{40, 50, 50, 77, 77, 100)
{0.50, 60, 75, 85, 100)
{50, 60, 60, 75, 75, 85, 85, 100)
[60, 65, 70, 75, 85, 85, 85)
Answer:
maybe the third one and i would also like to see the box plot
Step-by-step explanation:
Find the area of the shaded region
Answer:
Step-by-step explanation:
Remark
The easiest way is to find the area of the trianlge and subtract the area of the circle.
Area of the triangle
Area of the triangle = 1/2 b * h
b = 40 km
h = 27 km
The height is a little tricky. Since the angle at the base is greater than 90, you have to extend the base. Drop a line from the peak to the base making a right angle with the base. This has been done for you: the height is 27 km
Area of the triangle = 1/2 * 40 * 27
Area of the triangle = 540
Area of the circle
Area of the circle = pi r^2
r = d/2
r = 12/2
r = 6
Area of the circle = pi * 6*6
Area of the circle = 3.14 * 36
area of the circle = 113.04
Area of the shaded region
Area of the shaded region = area of triangle - area of the circle
Area of the triangle = 540
Area of the circle = 113.04
Area of the shaded region = 540 - 113.04
Area of the shaded region = 426.96
Jack had m math problems to complete during his vacation. He solved the same
number of problems every day and finished them all in 5 days.
Suppose Jack was solving 15 problems per day. Use this information and the answer
to part (a) to build an equation.
Answer:
M/5 =15
Step-by-step explanation:
The answer to part a was m/5. m/5 is the amount of questions Jack does per day. If 15 is supposedly the number of question he does per day, then m/5 and 15 are equal. Making m/5=15. Good luck fellow RSM student.
Find the slope of the line containing the points (-2, -3) and (-4, 1).
Answer:
- 2
Step-by-step explanation:
Slope, m = (y1-y2)/(x1-x2)
= ( -3 -1)/(-2- -4) =
-4 / ( 2) = - 2
Sloep:-
m=1-(-3)/-4-(-2)m=1+3/-4+2m=4/-2m=-2- Calculate the profit or loss
- Find the percentage profit or loss correct to 2 decimal places
A car purchased for $28899 was sold for $17580
Answer:
loss=B.price-S.price
$28899-$17580=$11319
Percentage profit=profit/B.price*100%
$11319/28899*100=$385.20
Step-by-step explanation:
[tex]\frac{2x^{2} -50}{x^{2} +7x+10}[/tex]
Step-by-step explanation:
[tex] \frac{2 {x}^{2} - 50}{ {x}^{2} + 7x + 10 } [/tex]
[tex] \frac{2( {x}^{2} - 25) }{(x + 5)(x + 2} [/tex]
[tex] \frac{2(x + 5)(x - 5)}{(x + 5)(x + 2)} [/tex]
[tex] \frac{2(x - 5)}{x + 2} [/tex]
A line has a slope of -3 and passes
through the point (8,-12).
There aren't enough parts for this to be classified as a question.
The lateral area of a cone is 19.2π in2. The radius is 2.4 in. Find the slant height.
The slant height of a cone with lateral surface are of 19.2π inches squared and radius of 2.4 inches is 8 inches.
Lateral surface area of a coneThe formula for the lateral surface area of a cone is described as follows:
Lateral area = πrl
where
r = base radiusl = slant heightTherefore,
Lateral area = 19.2π inches²
r = 2.4 inches
Lateral area = π × 2.4 × l
19.2π = 2.4πl
divide both sides by 2.4π
l = 19.2π / 2.4π
l = 8 inches
learn more on cone here: https://brainly.com/question/27170515
can someone help with this please I would really appreciate it.
Answer:
The answer is 8 ft ^3
Step-by-step explanation:
1. 4 (base ) x 4 (width) x 2 (height)
2. Get the answer of 32.
3. Do 32 x 1/4 because each square is 1/4 ft.
4. Get the answer of 8
Hope this helps! :)
Which expression is NOT equivalent to 100 + 20?
O10(10 + 2)
2(50 + 10)
Submit Answer
04(96 + 5)
5(20 + 4)
Select the correct answer from the drop-down menu. consider this population data set: 4, 6, 7, 11, 12, 18, 26, 23, 14, 31, 22, and 12. the values 11, 31, 22, and 12 constitute a random sample drawn from the data set. the sample mean is more than the population mean by .
The correct answer from the drop-down menu is 3.5.
What is the mean value?The mean is the average of the numbers. It is easy to calculate add up all the numbers, then divide by how many numbers in the data set.
Therefore the population mean is the sum of the 12 data set values divided by 12
4 + 6 + 7 + 11 + 12 + 18 + 26 + 23 + 14 + 31 + 22 + 12 = 186.
Therefore the population mean
= 186/12
= 15.5.
The sample mean is given by the sum of the 4 sample values divided by 4
11 + 31 + 22 + 12
Sum = 76.
Therefore the sample mean
= 76/4
= 19.
The sample mean is more than the population mean by
= 19 - 15.5
= 3.5.
To learn more about the mean visit:
https://brainly.com/question/21577204
What do a and b represent in the general term(tn)=an+b of sequence?
The sequence Tn = an + b is an arithmetic sequence.
b represents the first term, and a represents the common difference
How to interpret variables a and b?
The general term is given as:
Tn = an + b
The above term is an arithmetic sequence.
An arithmetic sequence is represented as:
Tn = T1 + (n - 1)d
Where T1 represents the first term, and d represents the common difference
By comparing Tn = an + b and Tn = T1 + (n - 1)d, we have:
b = T1
a = d
This means that b represents the first term, and a represents the common difference
Read more about sequence at:
https://brainly.com/question/7882626
The sum of a number and its square is 42. Which equation can be used to find the two numbers for which this is
true?
O x2 + x = 42
O x2 + 2x = 42
O x2 + x + 42 = 0
O x2 + 2x + 42 = 0
ark this and return
Answer:
x² + x = 42
Step-by-step explanation:
let x = a number
then x² is the square of the number
x² + x is the sum of the square of the number and the number.
x² + x = 42