The area of shaded region = area of triangle - area of circle = 33.73 sq. m.
What is the Area of Triangle and Circle?Area of circle = πr²
Area of triangle = 1/2(base × height)
The area of the shaded region = area of triangle - area of circle
= 1/2(14 × 12) - π × 4²
Area of shaded region = 84 - 50.27
Area of shaded region = area of triangle - area of circle = 33.73 sq. m
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Find the value of x. Anyone able to help?
Answer:
12
Step-by-step explanation:
The top and bottom of both sides are equal to eachother. So 5 times 12 equals 60 and subtract the 2 off to get 58.
Have a good day!
How many times greater is the value of the 6 in 618,923 than the 6 in 27,657
Answer:
600,000 times greater
Step-by-step explanation:
hope this helped and good luck :}
Answer: 1000 times greater
Step-by-step explanation: the 6 in 618,923 has a value of 600,000 where as in 27,657 it only has a value of 600
Look at where the six positioned, in the tens column, hundreds column or thousands column?
In this polygon all angles are right angles
What is the area of this polygon
Enter your answer in the box
Answer: 334
Step-by-step explanation:
Cut the polygon into 2 pieces
Find the area of each rectangle and some it
7*10 = 70
24*(21-10) = 264
264 + 70 = 334
Answer:
334 ft²
Step-by-step explanation:
split the polygon into two
Area of A = 21 ft × 7 ft = 147 ft²
Area of B = (21 ft - 10 ft) × (24 ft - 7 ft)
Area of B = 11 ft × 17 ft = 187 ft²
Area of polygon = sum of Areas of A and B
147 ft² + 187 ft² = 334 ft²
I'M BEGGING YOU PLEASE HELP ME!!
5/6 = 10/12
1/2 = 2/3
3/5 = 6/10
Hope this helped.
Suppose that $5500 is placed in an account that pays 2% interest compounded each year.
Assume that no withdrawals are made from the account.
Follow the instructions below. Do not do any rounding.
(a) Find the amount in the account at the end of 1 year.
(b) Find the amount in the account at the end of 2 years.
Х
?
Answer: After 1 year: $5,610
After 2 years: $5,722.20
Step-by-step explanation: Use the formula for periodic compounding interest, which is
A = P(1 + r/n)^(nt), where A is the final amount, P is the initial deposit, r is the interest rate as a decimal, n is the number of times the interest is compounded per year, and t is how many years.
Here, P = 5,500, r = 0.02 (that's 2% as a decimal), n = 1,
t = 1 for the first answer, t = 2 for the second answer (1 year, then for 2 years)
Plug the known values in to solve...
For 1 year...
A = 5,500(1 + 0.02/1)^(1*1)
A = 5,500(1.02)^1
A = 5,610
For 2 years...
A = 5,500(1 + 0.02/1)^(1*2)
A = 5,500(1.02)²
A = 5,722.20
WHAT NUMBER SHOULD REPLACE THE QUESTION MARK?
ANSWER ONLY IN DIGITS
Answer:
38 or 36 if there's options
Step-by-step explanation:
Given cos 8 = and angle 6 is in Quadrant IV, what is the exact value of sin 0 in
simplest form? Simplify all radicals if needed.
cos0 = √3/2
1 - cos²0 = sin²0
= 1/4 = sin²0
sin in quadrant 4 is negative
sin0 = -1/2
pls help me!!
find x and y
y= 8
y= x + 1
Answer:
x = 7, y = 8
Step-by-step explanation:
Knowing y = 8, we can substitute into equation and solve:
8 = x + 1
- 1 - 1
7 = x
Y is given, X is solved. Therefore:
x = 7, y = 8
How many buses do you need for 200 people if each bus holds
34 people?
Answer:
6
Step-by-step explanation:
you divide 200 people by 34 people per bus and get 5.88 (6)
Answer: 6 is correct! thax
USACanada
Step-by-step explanation:
Which relationships describe angles 1 and 2?
Select each correct answer.
adjacent angles
complementary angles
vertical angles
supplementary angles
Answer:
supplementary angles
Step-by-step explanation:
they are on the same line, so they sum up to 180°
What is the solution for x in the equation?
Answer:
[tex]x = 3[/tex]
Step-by-step explanation:
Answer: x=3
Step-by-step explanation:
First, we combine like terms.
2-x = x-4
Next we move the variables to one side and the numbers to another
2x = 6
We divide by 2.
x = 3
Kaylen's father invests $8,000 in a savings account that earns 5% interest. Assuming that Kaylen's Father does not deposit or withdraw money over the next 2 years, how much interest will he earn?
Answer:
$1,000 interest
Step-by-step explanation:
turn 5% to 0.5
multiply 8,000 times 0.50
Gerald has three shirts (blue, white, and grey), four pairs of pants (black, light grey, dark grey, and blue), and three ties (orange, blue, and black). How many different outfits that include one shirt, one pair of pants, and one tie can Gerald make?
Answer:
36
Step-by-step explanation:
By the Fundamental Counting Principle, if there are x ways to choose one thing, y ways to choose another thing, and z ways to choose another thing, then there are x*y*z possible combinations of all of those things.
Here, there are 3 ways to choose a shift, 4 ways to choose a pair of pants, and 3 ways to choose a tie. Therefore, there are 3*4*3 = 36 different outfits that Gerald can make that include one shirt, pair of pants, and tie.
How can 10% of 45 be used to determine 30% of 45?
Answer:
Step-by-step explanation:
If you know what 10% of 45 is and want to find 30%, you just multiply it by 3 since 10 * 3 = 30
help!!
find the unknown sizes of angles of figure
Answer:
60°Step-by-step explanation:
it looks like an isosceles triangle, 2 equal side and 2 equal angles (F&E)
the sum of the interior angles in a triangle is 180°, and FH is 180°.
180 - 120 = 60° (angle G)
now we know that it is an equilateral triangle, so Y and 2x are 60°
(3 * 60 = 180°)
-------------------------------
or
180 - 60 = 120
120 : 2 = 60°
1) If the price of 3pens , 2 pencils and 4 erasers is 92. The price 16 Erasers and the price of 8 pencils is 68 then the the price of 24 pens is
I’m stuck on this question please help x
Answer:
a = -3 and b=5
Step-by-step explanation:
Given that 10 can be written as 2*5 or √2*√2*5, and √18 can be written as √(2*9) or √2*√9 or 3√2, you can write the fraction as:
[tex]\frac{5\cdot\sqrt2\cdot\sqrt2-3\sqrt2}{\sqrt2}[/tex]
So getting rid of the √2 factor, you get 5√2 - 3, so a=-3 and b=5
Kayla and her best friend found some money in a trash can. They split the money evenly, each getting $21.45. How much money did they find
Answer:
$42.90
Step-by-step explanation:
You do 21.45 x 2, or you can add 21.45+ 21.45
This is because it was only two people, Kayla and her best friend.
The inverse of G(x) is a function.
Answer:
False
Step-by-step explanation:
In order for the inverse of a relation to be a function, it must pass the horizontal line test. That is, a horizontal line cannot intersect the graph in more than one place. Here, the x-axis intersects the graph of G(x) in 3 places, so the inverse of G(x) is not a function.
What is the magnitude (size) of 3.7?
Answer:
A)
Step-by-step explanation:
|3.7| = 3.7
Ruby has a pulse rate of 73 beats per minute and a blood pressure of 121 over 85. If ruby’s blood pressure can be modelled by a sinusoidal function, find an equation of this sinusoid.
The blood pressure of Ruby is modelled by following sinusoidal equation: [tex]y = 103 +18\cdot \sin (146\pi\cdot t)[/tex].
How to model blood pressure by sinusoidal functionsA sinusoidal function is represented by following model:
[tex]y = 0.5\cdot (y_{min}+y_{max}) + 0.5\cdot (y_{max}-y_{min})\cdot \sin (2\pi\cdot f\cdot t)[/tex] (1)
Where:
[tex]y_{min}[/tex] - Minimal blood pressure[tex]y_{max}[/tex] - Maximal blood pressure[tex]f[/tex] - Frequency, in beats per minute[tex]t[/tex] - Time, in minutesIf we know that [tex]y_{min} = 85[/tex], [tex]y_{max} = 121[/tex] and [tex]f = 73[/tex], then the sinusoidal formula for blood pressure is:
[tex]y = 103 +18\cdot \sin (146\pi\cdot t)[/tex] (2)
The blood pressure of Ruby is modelled by following sinusoidal equation: [tex]y = 103 +18\cdot \sin (146\pi\cdot t)[/tex]. [tex]\blacksquare[/tex]
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PLEASE HELP NOW worth 40 points
Answer:
A:
1. x=6
2. x=4
3. x=2
4. x=1
5. x=-3
B: -2, -3, -4
Step-by-step explanation:
I need help with three and four
Answer:
Step-by-step explanation:
Part 3 :
We simply expand the brackets
(a+b)² = (a+b)(a+b)
(a+b)(a+b) = a²+ab+ab+b² = a²+2ab+b²
This is part 3 done
Part 4:
We simply expand 3 brackets now:
(2x-1)³ = (2x-1)(2x-1)(2x-1)
We do the first 2 brackets first:
(2x-1)(2x-1) = 4x²-2x-2x+1 = 4x²-4x+1
Now we multiply this by the last bracket:
(4x²-4x+1)(2x-1) = 8x³ -4x²-8x² +4x+2x -1 = 8x³-12x²+6x-1
This is part 4 done
Hope this helped and brainliest please
please please help me please!
Step-by-step explanation:
the number line : a potentially infinite horizontal line.
it shows all numbers, with 0 in the center, eher we are looking at it. the negative numbers go to the left of 0, with -1, -2, -3, ... going from right to left.
the positive numbers go to the right of 0, with 1, 2, 3 going from left to right.
point S = -14
and the distance to a point R (RS) is 10.
now, on such a line we can always go in 2 directions : left and right.
our starting point is S (-14).
going 10 units to the right (positive direction) we get to -4.
as -14 + 10 = -4
going 10 units to the left (negative direction) we get to -24.
as -14 - 10 = -24
so, R can be at -4 or -24.
A side of the triangle below has been extended to form an exterior angle of 133°. Find the value of x????????
An exterior angle is equal to the sum of the two opposite inside angles:
x = 133 - 118 = 15 degrees
Answer: x = 15
Answer:
15 because 133=x-118 I hope it helps
Robin’s scores: 99, 108, 102, 107, 119 Mean = 107; MAD = 5. 2 Evelyn’s scores: 125, 137, 138, 145, 145 Mean = 138; MAD = 5. 6 Explain what the mean absolute deviation is in general. Explain what the MAD means in the context of Robin and Evelyn’s data.
The absolute distance of the Evelyn scores from her mean score is greater than the absolute distance of Robin scores from his mean score.
What is Mean?Mean is simply defined as the average of the given set of numbers. The mean is considered as one of the measures of central tendencies in statistics. The mean is said to be an arithmetic mean. It is the ratio of the sum of the observation to the total number of observations.
What is the mean absolute deviation?Mean refers to the average of the observation and deviation means the variation from the present standard.
Given
Robin’s scores: 99, 108, 102, 107, 119
Mean = 107
MAD = 5.2
Evelyn’s scores: 125, 137, 138, 145, 145
Mean = 138
MAD = 5.6
The absolute distance of the Evelyn scores from her mean score is greater than the absolute distance of Robin scores from his mean score.
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angles of a quadrilateral are y,2y,3y+20 and 4y+30 . find each angle if the sum of the angles of a quadrilateral is 360°
Answer:
31° , 62° , 113° , 154°
Step-by-step explanation:
sum the 4 angles and equate to 360
y + 2y + 3y + 20 + 4y + 30 = 360 , that is
10y + 50 = 360 ( subtract 50 from both sides )
10y = 310 ( divide both sides by 10 )
y = 31
2y = 2(31) = 62
3y + 20 = 3(31) + 20 = 93 + 20 = 113
4y + 30 = 4(31) + 30 = 124 + 30 = 154
the 4 angles are 31° , 62° , 113° , 154°
Kiran leaves home at 9.45 am. She drives 135 km to visit a friend. She arrives at her friend’s house at 11.15 am. Work out her average speed in km/h.
Answer:
I believe the answer is 12.1km/per hour
Find the value of x.
Answer:
x = 36°
Step-by-step explanation:
Where a transversal crosses parallel lines, any obtuse angle it creates is supplementary to any acute angle it creates:
3x +2x = 180°
5x = 180° . . . . . . . . . collect terms
x = 180°/5 = 36° . . . . . divide by 5
In basketball, some baskets are worth two points. Others are worth three points. In one game, the ratio of three-point baskets to three-point tries for one team was 3 : 4. If the team scored 27 points from three-point baskets, how many three-point tries did the team have?
The number of three-point tries is 36.
What are ratios?Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).
What is the number of three point tries?The first step is to determine the total number of tries and baskets: (27 X 7)/3 = 63
Number of three-point tries = (4/7) x 63 = 36
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