Answers
The shape will have a surface area of 189.25 cm². There are two distinct pieces to the figure: a rectangle and a semicircle.
What is the area?The space filled by a flat form or the surface of an item is known as the area.
The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters and other similar units are used to measure area.
The figure is divided into two parts one is a rectangle and the second is a semicircle.
Area of figure = Area of rectangle + Area of a semicircle
Area of figure = L × B + (πr²/2)
A = 10 cm × 15 cm + (3.14 ×(5)^2/2)
A= 189.25 cm²
Hence the area of the shape will be 189.25 cm²
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Related Questions
red was rotated to form blue
describe the rotation
Answers
Red was rotated to form blue as the figure was turned in different directions.
What is rotation?
A rotation simply means a transformation that turns a figure about a fixed point called the center of rotation.
An object and its rotation are simply the same shape and size, but the figures may be turned in different directions. In this case, red was rotated to form blue.
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cotpheta•sin2pheta=
1+cos2pheta
1+cospheta
1+sin2pheta
Answers
Answer:
Step-by-step explanation:
Did you mean.
[tex] = \cot( \theta) . \sin(2 \theta) [/tex]
[tex] = \frac{ \cos( \theta) }{ \sin( \theta) } .(2 \sin( \theta) \cos( \theta) )[/tex]
[tex] = \frac{2 \sin( \theta) \cos {}^{2} ( \theta) }{ \sin( \theta) } [/tex]
[tex] = 2 \cos {}^{2} ( \theta) [/tex]
[tex] = 2.(1 - \sin {}^{2} ( \theta) )[/tex]
[tex] = 2 - 2 \sin {}^{2} ( \theta) [/tex]
No option Solution.
Find the vertex and focus of the
parabola:
x² + 14x-8y + 65 = 0
I can’t figure this out!!!
Answers
Answer:
[tex]\boxed {Vertex = (-7, 2)}\\\boxed {Focus = (0, \frac{49}{8})}[/tex]
Step-by-step explanation:
Completing the square :
x² + 14x - 8y + 65 = 0
x² + 14x + 49 - 49 - 8y + 65 = 0
(x + 7)² - 8y + 16
(x + 7)² = 8y - 16
⇒ x = -7, y = 2 (Vertex)
Finding a :
⇒ x² = 4ay
⇒ (-7)² = 4(2)a
⇒ a = 49/8
Finding the focus :
⇒ (0, a)
⇒ (0, 49/8) (Focus)
For an each situation, it begin with the square field, measuring X centimetres by X centimetres. The dimensions of this square are to be changed. How do you write an expression for the area of the new square field, and then expand, and simplify? :/
A). The length of a side is being increased by 8 cm.
B). The length is being increased by 12 cm and the width is being decreased by 7 cm.
Answers
#A
New side
X+8Area
(x+8)²x²+16x+64 cm²#2
Now it has turned rectangle
Sides
x+12 and x-7
Area
(x+12)(x-7)Answer:
A) (x + 8)² cm² = (x² + 16x + 64) cm²
B) (x + 12)(x + 7) cm² = (x² + 19x + 84) cm²
Step-by-step explanation:
Formula
Area of a square = s² (where s is the side length)
Given side length of square field:
x cm⇒ Area of field = x² cm²
Part A
If the side length of the square field is increased by 8 cm then:
⇒ new side length = (x + 8) cm
Substitute the new side length into the formula for the area of a square:
⇒ Area of field = (x + 8)² cm²
Expand and simplify:
⇒ Area = (x + 8)²
⇒ Area = (x + 8)(x + 8)
⇒ Area = x(x + 8) + 8(x + 8)
⇒ Area = x² + 8x + 8x + 64
⇒ Area = (x² + 16x + 64) cm²
Part B
If the side length of the square field is increased by 12 cm and the width is decreased by 7 cm then:
⇒ new side length a = (x + 12) cm
⇒ new side length b = (x - 7) cm
Substitute the side lengths into the formula for area of a square:
⇒ Area of a square = s × s
⇒ Area of a square = a × b
⇒ Area of the field = (x + 12)(x + 7) cm²
Expand and simplify:
⇒ Area = (x + 12)(x + 7)
⇒ Area = x(x + 7) + 12(x + 7)
⇒ Area = x² + 7x + 12x + 84
⇒ Area = (x² + 19x + 84) cm²
2(2x – 1) + 7 < 13 or –2x + 5≤-10
Answers
Answer:
2, 7.5
Step-by-step explanation:
2(2x - 1) + 7 < 13
4x - 2 + 7 < 1
4x + 5 < 13
4x < 8
x < 2
-2x + 5 ≤ -10
-2x ≤ -10 - 5
-2x ≤ -15
x ≤ -15 / -2
x ≤ 7.5
The number of bacteria in a culture is increasing according to the law of exponential growth. The initial population is 240 bacteria, and the population after 9 hours is double the population after 1 hour. How many bacteria will there be after 4 hours? (Round your answer to the nearest whole number.)
Answers
Answer:
339
Step-by-step explanation:
Exponential Function
General form of an exponential function: [tex]y=ab^x[/tex]
where:
a is the initial value (y-intercept)b is the base (growth/decay factor) in decimal formx is the independent variabley is the dependent variableIf b > 1 then it is an increasing function
If 0 < b < 1 then it is a decreasing function
Given information:
a = 240 (initial population of bacteria)x = time (in hours)y = population of bacteriaTherefore: [tex]y=240b^x[/tex]
To find an expression for the population after 1 hour, substitute x = 1 into the found equation:
[tex]\implies y=240b^1[/tex]
[tex]\implies y=240b[/tex]
We are told that the population after 9 hours is double the population after 1 hour. Therefore, make y equal to twice the found expression for the population after 1 hour, let x = 9, then solve for b:
[tex]\implies 2(240b)=240b^9[/tex]
[tex]\implies 480b=240b^9[/tex]
[tex]\implies 480=240b^8[/tex]
[tex]\implies 2=b^8[/tex]
[tex]\implies b=\sqrt[8]{2}[/tex]
[tex]\implies b=2^{\frac{1}{8}}[/tex]
Therefore, the final exponential equation modelling the given scenario is:
[tex]\implies y=240(2^{\frac{1}{8}})^x[/tex]
[tex]\implies y=240(2)^{\frac{1}{8}x}[/tex]
To find how many bacteria there will be after 4 hours, substitute x = 4 into the found equation:
[tex]\implies y=240(2)^{\frac{1}{8}(4)}[/tex]
[tex]\implies y=240(2)^{\frac{1}{2}}[/tex]
[tex]\implies y=339 \:\: \sf (nearest\:whole\:number)[/tex]
Therefore, there will be 339 bacteria (rounded to the nearest whole number) after 4 hours.
Mike has 21 pounds of tomatoes and 9 pounds of mixed peppers from his garden that he will use to make salsa and tomato sauce. The graph represents the system of equations shown.
A system of equations. x plus 5 y equals 21. x plus y equals 9.
The variable x represents the number of batches of salsa that can be made and y represents the number of batches of tomato sauce that can be made.
Answers
Answer:
x= 6 , y = 3
Step-by-step explanation:
x + 5y = 21
i am using trail and error method and i got the answer easily
the logic behind this is simple
the first equation is x + 5y = 21 so we can say that y will be 5 x 1 , 5 x 2 , 5 x 3 , 5 x 4
first i did 5 x 4 = 20
x + 5 x 4 = 21
x= 1 but the equation x + y = 1 + 4 = 5 which is not equal to 9
second i tried with 5 x 3 =15
and the equation will be
x + 5 x 3 = 21
6 + 15 = 21
this time the second equation became true
x + y = 9
6 + 3 = 9
the no of pounds of salsa = 6
no of pounds of tomato = 3
Write the equation of the line that passes through the points (8,-1) and (2,-5) in standard form, given that the point-slope form is y+1=3/3(x-8)
Answers
The equation of the line that passes through the points (8,-1) and (2,-5) is 2x - 3y = 19.
The given coordinate are (8, -1) and (2, -5).
What is the slope of an equation?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.
The slope of the equation is [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex].
The standard form of an equation is Ax + By = C.
The given the point-slope form is [tex]y+1=\frac{2}{3} (x-8)[/tex].
Multiply each term by 3 of the equation.
[tex](y+1) \times3=\frac{2}{3} (x-8) \times3[/tex]
⇒3y + 3 = 2x - 16
Subtract 2x from both sides of a equation.
That is, -2x + 3y + 3 = - 16
Subtract 3 from both sides of a equation.
That is, -2x + 3y = - 19
Multiply each term by - 1 from both sides of an equation.
That is, 2x - 3y = 19
Therefore, the equation of the line that passes through the points (8,-1) and (2,-5) is 2x - 3y = 19.
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Change the decimal to a fraction. (Use the “/“ in your fraction.) 0.45454545….
Answers
The decimal: 0.4545...
Can be written in fraction form as 45/99.
How to write the number as a fraction?
Here we have the number:
N = 0.4545...
Notice that the repeating digits are two, 4 and 5.
Then we can multiply our number by 100 (same number of zeros as repeating digits) so we get:
100*0.4545... = 45.4545...
Now if we subtract the original number, we get:
45.4545... - 0.4545... = 45
This means that:
(100 - 1)*0.4545... = 99*0.4545... = 45
Then we can multiply and divide our number by 99, so we get:
[tex]0.4545... = 0.4545...\frac{99}{99} = \frac{45}{99}[/tex]
So the fraction is 45/99
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Please help!!!!
A triangular patch of grass in a park is bordered by walking paths. The longest path bordering the patch of grass measures 135 feet. The smallest path bordering the patch of grass measures 60 feet. The smallest angle formed by the paths measures 26°. What is the measure of the largest angle of the triangular patch of grass? Round your answer to the nearest degree. Show all your work.
Answers
The measure of the largest angle of the triangular patch of grass is 81 degrees
Application of sine ruleIn order to determine the measure of the largest angle, we will use the expression below;
[tex]\frac{60}{sin26^0} =\frac{135}{sinx^0}[/tex]
Cross multiply
135sin26 = 60sinx
sinx = 135sin26/60
sinx = 59.18/60
sinx = 0.986
x = 80.5 degrees
Hence the measure of the largest angle of the triangular patch of grass is 81 degrees
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What are the y-intercept and the asymptote of g(x) = 4x – 6?
(0, –5); y = –6
(0, –2); y = –4
(0, 4); y = 6
(0, 6); y = 4
Answers
The y-intercept of the line is (0 -6). The given function has no vertical and horizontal asymptotes
y-intercept and asymptotes of an equationA linear equation is an equation that has a leading degree of 1. Given the equation
g(x) = 4x - 6
The y-intercept occurs at a point where x = 0
g(0) = 4(0) - 6
g(0) = -6
Hence the y-intercept of the line is (0 -6)
The given function has no vertical and horizontal asymptotes
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A sum of money is divided among three girls, Rheanna, Kerisha and Anne, in the ratio 2:3:7, respectively. If Anne gets $15
more than Kerisha, what is the value of the total sum that was shared?
Answers
Using proportions, it is found that the value of the total sum that was shared was of $45.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Considering the rates, Anne's and Kerisha's proportions, out of the total value N, are given by:
[tex]A = \frac{7}{2 + 3 + 7}N = \frac{7N}{12}[/tex][tex]K = \frac{3}{2 + 3 + 7}N = \frac{3N}{12}[/tex]The difference is of $15, hence:
[tex]A - K = 15[/tex]
[tex]\frac{7N}{12} - \frac{3N}{12} = 15[/tex]
[tex]\frac{4N}{12} = 15[/tex]
[tex]\frac{N}{3} = 15[/tex]
N = 15 x 3 = 45
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3.)3 * (2x - 6)
4.)2x * (5x + 11)
Answers
3) [tex]3(2x-6)=\boxed{6x-18}[/tex]
4) [tex]2x(5x+11)=10x^{2}+22x[/tex]
Which inequality represents all the solutions of
9(4x-8) < 4(6x + 9)?
Answers
Answer:
x < 9
Step-by-step explanation:
Our original inequality:
[tex]9(4x-8) < 4(6x+9)[/tex]
Firstly, let's expand the brackets on both sides:
[tex]36x - 72 < 24x + 36[/tex]
Now, we add the 72 over to isolate the [tex]x[/tex]:
[tex]36x < 24x + 108[/tex]
Next, we take away the [tex]24x[/tex] to isolate the [tex]x[/tex]:
[tex]12x < 108[/tex]
Finally, we divide both sides by 12 to convert the [tex]12x[/tex] to [tex]x[/tex]:
[tex]x < 9[/tex]
This means our final answer is [tex]x < 9[/tex].
(This is an Edge question)
Question:
Which expression is equivalent to negative 3 minus 3 times a number minus 1 plus a number.
[tex] - 3 - 3x - 1 + x[/tex]
Answer Choices:
A.
[tex]2x - 4[/tex]
B.
[tex] - 2x + 4[/tex]
C.
[tex] - 2x - 4[/tex]
D.
[tex]4 - 2x[/tex]
I will verify the answer and give Brainlyest for fastest and most accurate answer and 15 pts.
Answers
Answer:
The answer is C. -2x -4
Step-by-step explanation:
Your given information.
-3 - 3x - 1 + x
Combine and simplify common numbers/variables.
(-3x + x) + (-3 - 1)
-2x - 4
find sizes of unknown angles
Answers
Answer:
a=75
b=70
c=110
d=105
e=110
f=105
Step-by-step explanation:
John has 48 square centimeter tiles he wants to use to create a mosaic. He wants the mosaic to be rectangular with a length that is 2 centimeters longer than the width.
Which equation could John solve to find w, the greatest width in centimeters he can use for the mosaic?
w(w – 2) = 48
w(w + 2) = 48
2w(w – 2) = 48
2w(w + 2) = 48
Answers
The equation that could John solve to find w, the greatest width in centimeters he can use for the mosaic is option B: w(w + 2) = 48.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The mosaic to be formed is rectangular in shape.
Area of a rectangle = length x width
The length is longer than the width by 2,
So, length = w+2
Area of a rectangle = (w+2) x w
The correct equation is B: w(w + 2) = 48
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Answer: B
Step-by-step explanation:
La siguiente operación 147.3 = 441 es una:
División b- Sustracción c- Multiplicación
plis necesito la respuesta ahora dare estrellas lo juro
Answers
La operación que representa 147.3 = 441 es dada por una multiplicación, por eso opción c es correcta.
¿Qué operación está representada por 147 . 3 = 441?El resultado del producto entre 147 y 3 es de 441, por lo que se hace una operación de multiplicación.
Así, hay que la opción c es correcta.
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In the triangle above, what is the measure of
A.
M
B.
M
C.
M
D
, cannot be determined
Answers
17. Find the height of a rectangular room that
measures 4.7 m long and 3.2 m wide, if
the space within it is 33.84 m³.
Answers
Answer:
the height: h=2,25
Step-by-step explanation:
volume of rectangular box = wide*long*the height
----> the height = volume of rectangular box / ( wide*long) = 2,25
give me 5 stars and hearts^^
Select the correct answer.
Gas station A has posted a chart that shows the price of gasoline in terms of the number of gallons.
Answers
The correct answer is option C which is Gas station A is selling gasoline at a lower rate its price is $3.05 per gallon.
What is an expression?Expression in maths is defined as the collection of numbers, variables, and functions using signs like addition, subtraction, multiplication and division.
Here we have two pieces of information
Gas station A:-
3 gallons for $9.15
1 gallons for $9.15 / 3 = $ 3.05
Gas station B:-
P = 3.08g
It means that station B is selling the gasoline at a higher price.
Therefore the correct answer is option C which is Gas station A is selling gasoline at a lower rate its price is $3.05 per gallon.
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what is the answr to -5(b + 1) = 8
Answers
[tex] - 5(b + 1) = 8 \\ - 5b - 5 = 8 \\ - 5b = 8 + 5 \\ - 5b = 13 \\ b = \frac{ - 13}{5} [/tex]
PLEASE GIVE BRAINLIEST
\\\///\\\///\\\///\\\///\\\///\\\///\\///\\\///\\\///\\\///\\\///\\\//\\//\\//\\//\\\///\\//\\\///\\\///\\\///\
[tex]\Rsh[/tex] Hey! [tex]\Lsh[/tex][tex]\Rsh[/tex]Let's solve this! We can do this! [tex]\Lsh[/tex]
>>> First, let's multiply -5 by b and 1. Then we obtain
[tex]\pmb{-5b-5=8}[/tex].
>>> Now we add 5 to both sides.
[tex]\pmb{-5b=13}[/tex]
>>> And then, divide both sides by -5.
[tex]\pmb{b=-\dfrac{13}{5}}[/tex]
>>> That is the value of b.
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Hope the answer - and explanation - assisted you!
Happy studies! :)
3.5 decimals to mixed numbers
Answers
It’s one and two thirds written out
Given parallelogram ABCD and AB || CD, if mAB = -5 then mCD must be:
A)-5
B)
- 1
——
5
C) 5
D) 1
—
5
Answers
The slope of CD, which is parallel to AB must be: A. -5.
What is the Slope of Parallel Segments?If two line segments are parallel to each other, their slope value (m) would be equal to each other.
Side AB and CD in the parallelogram are parallel segments, therefore, their slope (m) would be the same.
Slope (m) of AB = -5, therefore, the slope of CD must be: A. -5.
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Identify the method that will be used to solve for x for each equation.
4x = 20
x 119
5x + 6x = 22
5(x - 2) = 30
Answers
The solution of the equation 4x = 20, x – 11 = 9, 5x + 6x = 22, and 5(x – 2) = 30 will be 5, 20, 2, and 8.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equations are given below.
4x = 20
x = 5
x – 11 = 9
x = 20
5x + 6x = 22
11x = 22
x = 2
5(x – 2) = 30
x – 2 = 6
x = 8
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which of the following is a rational number
a.√5
b.π
c.1/2
d.√(77)
Answers
the quotient of two integers
Zippy company manufactured 10,000 units in december with a total product cost of $22,900 they had zero finished goods inventory at the start of december. in december zippy sold 7,796 units at a unit price of $5.54. period expenses were $4,723. what is the amount of zippy's gross profit (otherwise know as gross margin).? round any intermediate calculations to four decimal places
Answers
The amount of zippy's gross profit (otherwise know as gross margin) is: $25,337.
Gross profitSales revenue $43,189.84
(7,796 units × $5.54)
Less Cost of goods sold $17,852.84
[($22,900/10,000)×7,796]
Gross profit $25,337
( $43,189.84-$17,852.84)
Therefore the amount of zippy's gross profit (otherwise know as gross margin) is: $25,337.
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PLEASE HELP!!! I will give brainliest pleasee help. each question has to be solved, there are no options for answers.
Answers
The intersecting secant theorem states the relationship between the two intersecting secants of the same circle. The given problems can be solved using the intersecting secant theorem.
What is Intersecting Secant Theorem?
When two line secants of a circle intersect each other outside the circle, the circle divides the secants into two segments such that the product of the outside segment and the length of the secant are equal to the product of the outside segment other secant and its length.
a(a+b)=c(c+d)
1.)
6(x+6) = 5(5+x+3)
6x + 36 = 25 + 5x + 15
x = 4
2.)
4(2x+4)=5(5+x)
8x + 16 = 25 + 5x
3x = 9
x = 3
3.)
8x(6x+8x) = 7(9+7)
8x(14x) = 112
112x² = 112
x = 1
4.)
(x+3)² = 16(x-3)
x² + 9 + 6x = 16x - 48
x² - 10x - 57 = 0
x = 14.0554
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For any positive numbers a, b, and d, with b 1,
A.
logb a logb d
B.
logb a + logb d
C.
d logb a
done
D.
logb a - logb d
Answers
Answer:
D
Step-by-step explanation:
using the rule of logarithms
log x - log y ⇔ log ( [tex]\frac{x}{y}[/tex] )
then
[tex]log_{b}[/tex] ( [tex]\frac{a}{d}[/tex] ) = [tex]log_{b}[/tex] a - [tex]log_{b}[/tex] d
Hey can I have help with this question. An explanation would be great as I find things difficult to understand :)
Answers
Answer:
[tex](0, -\frac{15}{2} )[/tex]
Step-by-step explanation:
When a straight line crosses the y-axis, the point that touches it is called the y-intercept. We can find the y-intercept by plugging in zero as the value for 'x', as any x value on the y-axis is zero. So plugging in x = 0 into the equation '3x - 2y = 15', we get -2y = 15, so y = -15/2. The point would be [tex](0, -\frac{15}{2} )[/tex], as x = 0 when y = -15/2.
