Answer:
3500[tex]\pi[/tex] = 10995.57 in³ (nearest hundredth)
Step-by-step explanation:
area of a circle = [tex]\pi r^2[/tex]
⇒ area of a semicircle = [tex]\frac{1}{2}\pi r^2[/tex]
⇒ area of a quarter circle = [tex]\frac{1}{4}\pi r^2[/tex]
total area = 5 circles + 10 semicircles + 100 quarter circles
⇒ total area = [tex]5\pi r^2 +(10\times \frac{1}{2}\pi r^2)+(100 \times \frac{1}{4}\pi r^2)[/tex]
⇒ total area = [tex]35\pi r^2[/tex]
If r = 10 inches
⇒ total area = [tex]35\pi \times 10^2=3500\pi =10995.57 \ \textsf{in}^2 \ \textsf{(nearest tenth)}[/tex]
Determine whether a triangle with the given side lengths is a right triangle.
Step-by-step explanation:
It is possible to determine if a triangle contains a right angle using Pythagoras' theorem . If the squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle.
A ship has an island directly in the path of the destination port, so it has to travel 11.5 miles west and then 8.4 miles north to get to the port. To the nearest tenth,how much shorter would the trip be if the ship could go directly to port?
Answer:
Step-by-step explanation:
The direct distance there (without the island in the way) is found using the Pythagorean Theorem
c^2 = a^2 + b^2
a = 8.4
b = 11.5
c = ?
c^2 = 8.4^2 + 11.5^2 Square the length of the legs.
c^2 = 70.56 + 132.25 Combine
c^2 = 202.81 Take the square root.
c = 14.24
But the island is there. The distance travelled = 8.4 + 11.5 = 19.9 miles
So the additional distance = 19.9 - 14.24 = 5.66 miles.
What is the product of the complex numbers (-3i+4) and (3i+4)?
Answer: 25
Step-by-step explanation:
Finding the product of complex numbers is not different to finding the product of real numbers
(-3i+4) * (3i+4) = -9i^2 + 12i - 12i + 16 = 25
Answer:
25
Step-by-step explanation:
An easy way to multiply binomials is the FOIL(first, outer, inner, last) method. Multiply the first terms of each binomial, -3i×3i=-9i^2. Then do the outer terms, -3i×4=-12i. Then do the inner terms 4×3i=12i. Then do the last terms, 4×4=16. Lastly combine like terms, the -12i and 12 cancel out, and you're left with -9i^2+16. i^2=1, so then you get -9(-1)+16. -9×-1=9. 9+16=25
The ratio of boys to girls is 4:5 calculate the number of boys if there are 1080 learners
Answer:
480 Boy
Step-by-step explanation:
The ratio of Boys = 4x
The ratio of Girls = 5x
The Number of Boys in the School = 4x + 5x = 1080
= 9x = 1080
= x = 1080/9
= x = 120
The ratio of Boys = 4x = 4 x 120 = 480
The ratio of Girls = 5x = 5 x 120 = 600
Hence, Number of Boys = 480
Ratio Boys to Girls = 480:600
[RevyBreeze]
HELP ME I DON'T GET IT!!!!!
Kamille is calculating the length of diagonal on a picture board and gets a solution of the square root of 58. She needs to buy the ribbon to put across the diagonal of the board, so she estimates that she will need at least 60 inches of ribbon to cover the diagonal. Is she correct? Explain.
Answer:
Kamille is wrongStep-by-step explanation:
Kamille is wrong, because:
√58 is between √49 and √64or
7 < √58 < 8She needs about 8 inches ribbon not 60 inches
The larger of two numbers is 10 less than twice the smaller number. If the sum of the two numbers
is 38, find the two numbers.
Answer:
16,22
larger number=22
smaller number=16
Step-by-step explanation:
let 2x-10=larger number
let x=smaller number
x+2x-10=38
Simplify
3x-10=38
+10 +10
Add 10 to both sides of the equation
3x=48
divide both sides by 3
x=16
First answer.
2x-10=22
2nd answer
Check your work:
16+22=38
It is correct.
Answer:
66 & -28
Step-by-step explanation:
x > y
x + y = 38
x = 10 - 2y
10 - 2y + y = 38
-y + 10 = 38
-y = 28
y = -28
x + (-28) = 38
x = 66
₹7,000 is borrowed at 3.5% rate of interest p.a. borrowed for 2 years. Find the
amount to be paid at the end of the second year
Find the slope of the graph
Answer:
Step-by-step explanation:
m=26 when u as u go as down as {{6-2} -13
Answer:
2
Step-by-step explanation:
By definition, the slope or gradient of a line describes its steepness, incline, or grade.
m = y2 - y1 / x2 - x1
Where
m — slope
If the 2 Points are Known:
Slope (m) = ΔY/ΔX
= 7-(-1) / 3-(-1)
= 8/4
= 2/1
= 2
θ = arctan (ΔY/ΔX)
= tan¯¹(8/4)
= 63.434948822922°
ΔX = 3 – (-1) = 4
ΔY = 7 – (-1) = 8
Distance (d) = √ΔX2 + ΔY2 = √80
= 8.9442719099992
Equation of the line:
y = 2x + 1
When x=0, y = 1
When y=0, x = -0.5
emily bought 4 pounds of grapes for $20 .find the unit price A)$5
c)1
d)20
b)15
Answer:
$5
Step-by-step explanation:
20/4 = 5
Find the value of x.
87, x,105,92,135
Answer:
121
Step-by-step explanation:
(5-2)180
180-135-105-87-92=121
One equation in a system of equations is given in the graph. Which equation below would have to be the second equation so that the system has no solutions?
Solution:
To classify the system of equations as no solutions, the lines must be parallel (Not intersect).
First, let's identify the equation forming the line.
Slope = Rise/Run = 2/-3 = -0.66Y-intercept = 0Equation formed: y = -2/3We also know that the slope of the equation must be -1.5.
A) 2x + 3y = 0
3y = 0 - 2x=> 3y = -2x=> (y = -2x/3) ∦ (y = -2x/3)B) 2x + 3y = 6
=> 3y = -2x + 6=> (y = -2x/3 + 2) ║ (y = -2x/3)C) 2x - 3y = 9
=> -3y = -2x + 9=> y = -2x/-3 + 9/-3=> (y = 2x/3 - 3) ∦ (y = -2x/3)D) y = 3x + 2
(y = 3x + 2) ∦ (y = -2x/3)Option B is correct.
help on 5 . find the value of x
Answer:
The choice B. 5°
Step-by-step explanation:
The angle in the figure is 90°
[tex]36 + (11x - 1) = 90 \\ 36 + 11x - 1 = 90 \\ 11x + 35 = 90 \\ 11x = 90 - 35 \\ 11x = 55 \\ \\ x = \frac{55}{11} \\ \\ x = 5[/tex]
please answer correctly
Answer:
y=2x-1
Step-by-step explanation:
up 2 right 1 for slope
y intercept is -1
Answer:
[tex] \boxed{(b) \: y = 2x - 1}[/tex]
Step-by-step explanation:
Find the gradient( 2,3 ) and ( 0, -1)
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{ - 1 - 3}{0 - 2} = \frac{ - 4}{ - 2} = 2[/tex]
Gradient is 2
Find linear equationy - y1 = m ( x - x1 )
y - 3 = 2 ( x - 2 )
y - 3 = 2x - 4
y = 2x - 4 + 3
[tex] \boxed{y = 2x - 1}[/tex]
What is the difference between the LCM and HCF of 8,10,12
Answer:
118
Step-by-step explanation:
LCM = 12×10 = 120
HCF = 12-10 = 2
Difference = 120-2 = 118
Please mark me as brainliest because i want to be Virtuoso rank
1: 18 is __ % of 30
2: 56 is 80% of
3: a pack of cinnamon scented penclis sells for 4:00$ what is the sales tax rates if the total cost of the pencils is 4:32?
Answer:
1. 60%
2. 70
3. 8%
Step-by-step explanation:
I attached pictures to show my work (sorry if they’re a bit messy)!
PLEASE HELP!! Question: Which number line shows the points −125 and –2.8?
Answer:
you need picture with it
Step-by-step explanation:
Mr. Connolly recorded the closing price of a stock each day for a month. Which measure of data did he use to determine that the
closing stock price varied by $20.50 during the month?
A. Mean
C. Mode
B. Median
D. Range
2 divided by 4,050. I know the answer from an answer key but I am wondering the step to step using long division.
Which equation describes the line with a
slope of 2 that contains the point (4, -3)?
Answer:
y = 2x - 11
Explanation:
using the formula:
[tex]\boxed{y-y1= m(x-x1)}[/tex] .........where m is slope || y1 is y value || x1 is x value
y - -3 = 2( x - 4 )
y + 3 = 2(x -4)
y + 3 = 2x - 8
y = 2x - 8 - 3
y = 2x - 11
Find the slope of the graph
Answer:
(1,3), (2,1
Step-by-step explanation:
Answer:
1. m = -3
2. m = 4
Step-by-step explanation:
1. m = -3
2. m = 4
slope intecept form is y = mx + b
10 examples of direct and Inverse variation from our daily life
Answer:
Direct Variation:
The number of family members are directly expenditures. The number of fruit in kg directly proportional to price of fruit.The number of selling products directly proportional to profit. The distance covered by body directly proportional to speed of bodyThe acceleration produce in car directly proportional to change in velocity The income is directly proportional to working hours. The cost of electrical bill directly proportional to number of fans running in the house. The quantity of water fill in tank is directly to time for which the motor is switch on. The marks in study is directly proportional to hardworking. The bank balance is directly proportional to amount of saving.Inverse Variation:
1. The bank balance is inversely proportional to expenditures.
2. The number of family members (which not work) are inversely proportional to amount of saving.
3.The working days required to complete the work are inversely proportional to number of labors.
4. The velocity of body is inversely proportional to time.
5. The acceleration is inversely proportional to time.
6. The acceleration of body is inversely proportional to mass of body.
7. The number of student fail in the class is inversely proportional to number of qualify teachers and hardworking.
8. The battery power is inversely proportional to time for which it used.
9. The ability of do work hard is inversely proportional to age of man after youngness to onward.
10. The number of mistake in work is inversely proportional to practice.
Explanation:
Direct Variation: A relationship where one quantity is a constant multiplied by another quantity is called direct variation.
Inverse Variation: Inverse variation is defiend as the relationship between two variables in which the resultant product is a constant. If a is inversely proportional to b, the form of equation is a = k/b, where k is constant. Inverse variation is known as the opposite of direct variation. If there an increas ein one variable, the other variable decreases in proportion so that the resultant product remains unchanged.
help me please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B) [tex]-38[/tex]
Step-by-step explanation:
[tex]\frac{4}{(-1.6+3.6)}+\frac{0.8(9+11)}{-0.4}\\\\=\frac{4}{2}+\frac{0.8(20)}{-0.4}\\\\=2+-2(20)\\\\=2-40\\\\=-38[/tex]
Simplify 3 - 4y + (-8y) +8.7.
Pls answer
Answer:
11.7 - 12y
Step-by-step explanation:
1. Open parenthesis
3 - 4y - 8y + 8.7
2. Combine like terms
11.7 - 12y
The answer is 11.7 - 12y
Hope this helps :)
Have an awesome day!
The product of numbers in the circles connected by the different lines must be equal. Use number from 1 to 9 only once.
Answer:
you must be so stiupid that you have to use answers ff a website to cheat for school
Step-by-step explanation:
Help me please please please please please please
I think 100 grams per box
The house number is a three digit number.it is a multiple of 5. There are no zeros in this number. The number in the hundreds place is two less than the number in the ones place. The sum of the digits is 10
Answer:
235
Step-by-step explanation:
325( Three digit number)
No zero
5-3=2
3+2+5=10
The house number if the house number is a three-digit number, it is a multiple of 5. There are no zeros in this number, is 235.
What is equation?A formula known as an equation uses the equals sign to denote the equality of two expressions.
Given:
A house number is a three-digit number.it is a multiple of 5,
The number in the hundreds place is two less than the number in the one's place,
The sum of the digits is 10,
Write the equation as shown below,
x + y + z = 10
Here x is in one place y is in the tens place and z is in the hundred places,
The number will be = 100z + 10y + x
y = x - 2
As we know if the number is a multiple of 5 then its one's place is either 0 or 5 here no zeroes in the number,
x = 5,
y = 5 - 2 = 3
z = 10 - 3 - 5
z = 2
Thus, the number will be,
Room number = 100 × 2 + 10 × 3 + 5
Room number = 200 + 30 + 5
Room number = 235
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Find the area of each shaded region
[tex]\bold{\huge{\blue{\underline{ Solution }}}}[/tex]
Given :-The radius of the circle is 5 unitsTo Find :-We have to find the area of shaded region .Let's Begin :-The given figure is composed of two figures triangle and circle. In which triangle is enclosed in the circle.
The triangle is the unshaded region of the given figureWe know that,
Area of triangle
[tex]\bold{\red{ = }}{\bold{\red{\dfrac{1}{2}}}}{\bold{\red{\times{ Base }}}}{\bold{\red{\times{ height }}}}[/tex]
Here,
The base of the triangle is equal to the diameter of the circle that is, [tex]\sf{ Base = 5 + 5 = 10 \: units }[/tex]The height of the triangle is equal to the radius of the triangle that is[tex]\sf{ Height = 5 \:units }[/tex]Subsitute the required values,
Area of the given triangle
[tex]\sf{ = }{\sf{\dfrac{1}{2}}}{\sf{\times{ 10 }}}{\sf{\times{ 5 }}}[/tex]
[tex]\sf{ = 5 }{\sf{\times{ 5}}}[/tex]
[tex]\bold{ = 25\: units }[/tex]
Thus, The area of triangle is 25 units
NowWe have to find the area of the circle
The radius of the circle is 5 unitsWe know that,
Area of circle
[tex]\bold{\pink{ = }}{\bold{\pink{\pi{r^{2}}}}}[/tex]
Subsitute the required values,
[tex]\sf{ = }{\sf{\pi{(5)^{2}}}}[/tex]
[tex]\sf{ = }{\sf{\dfrac{22}{7}}}{\sf{\times{ 25}}}[/tex]
[tex]\sf{ = }{\sf{\dfrac{550}{7}}}[/tex]
[tex]\bold{ = 78.57\: units }[/tex]
Thus, The area of circle is 78.57 units
Therefore,Area of shaded region
= Area of circle - Area of triangle
Subsitute the required values,
[tex]\sf{ = 78.57 - 25 }[/tex]
[tex]\bold{\green { = 53.57 \: units }}[/tex]
Hence, The area of shaded region is 53.57 units.
The area of the shaded figure is 13.375 square units.
What is the area of the shaded region?
The shaded region is a circle with a triangle inside of it removed.
To get the area, we need to get the area of the circle and remove the area of the triangle.
Remember that for a circle of radius R, the area:
A = 3.14*R^2
In this case, we can see that the diameter of the circle measures 5 units, then the radius (half of the diameter) measures 2.5 units.
A = 3.14*(2.5)^2 = 19.625 square units.
And a triangle of base B and height H has an area:
A' = B*H/2
In this case, the base of the triangle is equal to the diameter of the circle, and the height is equal to the radius of the circle, so we have:
B = 5 units.
H = 2.5 units.
Then:
A' =5*2.5/2 = 6.25 square units.
Then the shaded area is:
shaded area = 19.625 square units - 6.25 square units.
= 13.375 square units.
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Evaluate. Write your answer in simplified, rationalized form. Do not round.
cos
45°
=
Answer:
cos(45°) = (√2)/2
Step-by-step explanation:
The cosine of 45° is the x-coordinate of the point on the unit circle where the line y=x intersects it. That is, it is the positive solution to the equation ...
x^2 +x^2 = 1
x^2 = 1/2 = 2/4 . . . . . collect terms, divide by 2, express the fraction with a square denominator
x = √(2/4) . . . . . . take the square root
x = (√2)/2 . . . . . simplify
The cosine of 45° is (√2)/2.
Can u help me and give me the solution. I have rsm tomorrow! please and thanks. find x
Answer: 25°
Step-by-step explanation: Notice that in this figure, we are given two triangles and to find the value of x, we first need to find the missing angle measure in the big triangle.
Since all the interior angles of a triangle add up to 180 degrees, we know that the missing angle of the big triangle is 180° - 94° - 41° or 45°.
Now we know all the angles of the big triangle and we know two of the angles of the smaller triangle, so we can find the value of x.
The missing angle of the smaller triangle will be 180° - 110 - 45° or 25°
So we know that the missing angle is 25°.
Based on data from 2011-2012, the percentage of 6- to 11-year-olds who were obese was about _____ than the percentage of two- to five-year-olds who were obese.
Using the percentage concept, it is found that the percentage of 6- to 11-year-olds who were obese was about 17.76% more than the percentage of two- to five-year-olds who were obese.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
Researching on the internet, we find that:
The percentage of two-to-five year old who are obese is of a = 15.2%.The percentage of 6-to-11 year old who are obese is of b = 17.9%.Hence:
[tex]P = \frac{17.9}{15.2} \times 100\% = 117.76\%[/tex]
117.76% - 100% = 17.76%.
Hence the percentage of 6- to 11-year-olds who were obese was about 17.76% more than the percentage of two- to five-year-olds who were obese.
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