Answer:
a.
The area of the large circle is 225π cm² [exact] or 706.9 cm² [approximate].
b.
area = 50π/6 cm² [exact]
area = 26.2 cm² [approximate]
Step-by-step explanation:
This problem is easier to solve than it looks.
a.
Area of the large circle.
Look at the top left small circle, the middle circle, and the bottom right circle. You can draw a single line segment that is a diameter of the large circle and also contains the diameters of the three small circles. That means that the diameter of the large circle is 3 times the diameter of each small circle.
R and D are the radius and diameter, respectively, of the large circle.
r and d are the radius and diameter, respectively, of the small circles.
D = 3d
D = 6r = 6(5 cm) = 30 cm
R = 15 cm
A = πr²
A = π(15 cm)²
A = 225π cm²
The area of the large circle is 225π cm² [exact] or 706.9 cm² [approximate].
b.
There are 6 congruent spaces between the small circles and the large circle, and there are another, different 6 congruent spaces between the center circle and the 6 circles around it. The region we need is made up of one space of each type.
The combined area of all 12 spaces is the area of the large circle minus the total area of all the small circles. The area we need to calculate is 1/6 of that combined area.
area = (1/6)(area of large circle - total are of all small circles)
area = (1/6)[225π cm² - 7π(5 cm)²]
area = (1/6)[225π - 175π]cm²
area = 50π/6 cm² [exact]
area = 26.2 cm² [approximate]
Mr. aba builds a circular patio with a diameter of 12 feet he covers the patio with paving stones the cost of the paving stones is $10.50 per square foot to the nearest dollar how much do the paving stones cost?
y = 2x – 1
5x – 4y = 1
¿Es (1, 1) una solución del sistema?
Answer: Sí
Step-by-step explanation:
Answer:
x=-3 and y=-7Step-by-step explanation:
[tex]y = 2x - 1[/tex]
[tex]5x - 4y = 1[/tex]
Putting the value of y in Equation
[tex]5x - 4(2x - 1) = 1[/tex]
[tex]5x - 4x + 4 = 1[/tex]
[tex]x + 4 = 1[/tex]
[tex]x = - 3[/tex]
putting the value of x in y equation
[tex]y = 2x - 1[/tex]
[tex] y = 2( - 3) - 1[/tex]
[tex]y = ( - 6) - 1[/tex]
[tex]y = - 7[/tex]
Gladys classifies the following system of equations.
y = 6x + 2
y = 6x + 1
Select Correct or Not correct for each statement.
Statement
Correct
Not correct
o
O
The system is inconsistent because the slopes are the same and the lines are different.
The system is dependent because the y-intercepts are different.
O
O
The system is inconsistent because the slopes are the same and the lines are different.
A linear equation is of the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Given the following system of equations:
y = 6x + 2 (1)
y = 6x + 1 (2)
We can see that both equations have the same slope of 6 but have different y intercepts.
Hence the system is inconsistent because the slopes are the same and the lines are different.
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HERE YOU GO (THESE ARE THE RESULTS I GOT FROM THE GUY ABOVE ME):
pls help me and pls no link dont try me
Answer:
red line
the red line has a slope of -1 by looking at the coordinates,
it also intersects the given point (1,-1)
When A = 5x + 4 and B = 9x - 6 what is the value of B-A
help
Answer:
B - A = 4x - 10
Step-by-step explanation:
B - A
= 9x - 6 - (5x + 4) ← multiply terms in parenthesis by - 1
= 9x - 6 - 5x - 4 ← collect like terms
= 4x - 10
Answer:
4x-10
Step-by-step explanation:
The cost of a baguette and a cup of hot chocolate is $1.45. The cost of 2 baguettes and a cup of hot chocolate is $2.10. What is the cost of one cup of hot chocolate?
Answer:
It is $0.8
Step-by-step explanation:
First find out the value of one baguette.
They just added one more baguette. So the amount left after subtracting them both will be the cost of 1 baguette.
2.10 - 1.45 = 0.65
Now, subtract the 1st cost with the cost of 1 baguette.
1.45 - 0.65 = $0.8
Pls Mark Me as the brainliest.
2. French Vanitta K-Cups that originally
cost $5.99 are now on sale for $4.75.
Answer:
20.7% is the % decrease.
Step-by-step explanation:
If you are finding the % of decrease then see below.
% Decrease = (Original Cost - New Cost ) ÷ Original Cost × 100
5.99 - 4.75 = 1.24
1.24 ÷ 5.99 = .2070
.2070 × 100 = 20.7%
HELP ME!
A line passes through the points (5,16) and (7,18) Write a linear function rule in terms of x and y for this line.
Answer:
y=x+11;
Step-by-step explanation:
Let's say the direct equation is y=kx+b;
Plug in the two points to get the system:
[tex]\left \{ {{16=5k+b} \atop {18=7k+b}} \right.[/tex]
So k is equal to 1, b is equal to 11,
so y=x+11;
Please Help!! Asap!!
A local club team is holding tryouts for six spots on the soccer team. Since there is not much time before a very important tournament they need to select the best players. Which method would be the best to ensure they select the "most talented" soccer players?
A. They watch the players during tryouts and then put them on a list in order from the most skilled to the least skilled and then select the top six from the list.
B. The first day of tryouts they select the first six that show up as they figure those are the most eager for a spot.
C. They place all of the names of the people trying out in a hat and then select six out of the hat. Those are the ones that are chosen.
D. They watch the players during tryouts and then put them on a list in order from the most skilled to the least skilled and then select the top three and the bottom three from the list.
Answer:
A because it's most likely to be like that at tryouts
4x + 5y = 6
5x + 4y = 5
The lines are
A. perpendicular.
B. parallel
C. neither
[tex]{\huge{\boxed{\mathfrak{Question}}}[/tex]
[tex]4x + 5y = 6\\5x + 4y = 5[/tex]
The lines are
A. perpendicular.
B. parallel
C. neither
__________________________
C. Would be our answer because parallel lines never intersect
perpendicular lines form 90 degrees of all sides.
REASONING You can paint 75 square feet of a surface every 45 minutes. Determine how long
it takes you to paint a wall with the given dimensions.
9 ft x 9 ft
It will take you___
minutes to paint the wall.
Answer:
I think that it will take about 81 minutes to paint the wall
Step-by-step explanation:
Answer:
75 ft square=45 min
81 ft square=48.6 min
81*45/75
Step-by-step explanation:
good luck
3. What's the relationship between VO2max and cardiorespiratory exercise?
I
Answer:
A person's VO2max measurement is generally considered the best indicator of cardiovascular fitness and aerobic endurance. [ -is the relationship between VO2max and cardiorespiratory exercise. ]
Step-by-step explanation:
this is shoRT but helps
Select all true statements about the line and its equation.
Answer:
the first, second and fifth ones
Step-by-step explanation:
Nikko runs 6 miles a day and 3 days a week. How many weeks will it take Nikko to run 198 miles?
Answer:
11 weeks
Step-by-step explanation:
6*3 = 18
He runs 18 miles per week
To find out many weeks it will take Nikko to run 198 miles we do
198/18 = 11 weeks
Answer:
11 weeks
Step-by-step explanation:
6 x 3 = 18
198 divided by 18 is eleven
have a great day!
Is (1,1), (2,2), (3,3), (4,4), (5,8) a function? Why or why not?
Tried a couple times but cant seem to find the answer, would appreciate an explanation.
Answer:
Option CStep-by-step explanation:
You just need tp translate what is written in the two- column proof into paragraph.
Given that the two angles have same measure of 125°, by transitive property we proof that the angles are congruent.
We don't perform any of addition, division or multiplication operations. We just compare the angle measures and come to conclusion.
This is best described in the paragraph C
To solve for k in the inequality -16 -32 > -48, what steps are correct?:
A First, subtract 32 to each side, then divide by -16 and flip the sign
B First, divide both sides by 16, then add 32 to both sides and leave
the sign
C First, subtract 48 from both sides, divide by -16 and leave the sign
D First, add 32 to both sides, then divide by -16 and flip the sign
Answer:
D. First, add 32 to both sides, then divide by -16 and flip the sign
Step-by-step explanation:
Taking that the inequality is -16k-32>-48
First you have to get rid of any addition or subtraction, in this case you have to get rid of -32 by adding 32 to each side:
-16k-32+32 > -48 +32
Then you need to divide by -16 and flip the sign because you are dividing by a negative number and if you don't flip the sign the inequality will be false.
[tex]\frac{-16k}{-16} <\frac{-16}{-16}[/tex]
In which set do all of the values make the inequality 3k – 6 < 12 true?
The set of values that satisfies the inequality is (-∝, 6)
Inequality shows the non-equal comparison between two numbers or other mathematical expressions.
Given the inequality: 3k – 6 < 12
Solving the inequality:
3k – 6 < 12
Add 6 to both sides:
3k - 6 + 6 < 12 + 6
3k < 18
Divide both sides of the equation by 3:
3k/3 < 18/3
k < 6
The set of values that satisfies the inequality is (-∝, 6)
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Here at Dillard 6-12 the amount of new teacher went from 24 teachers to 30 teachers. What is the percent of change?
Answer:
25% increase
Step-by-step explanation:
formula for percent of change = (new amount - original amount) / original amount; this will give you a decimal and multiply it by 100 to get the percent
(30 - 24) / 24
6/24 = 1/4 = 0.25
25% increase
Can some one help me with this please :)
Answer: The fraction is 12/23
Step-by-step explanation:
There are 23 movies in total and 11 of those are comedies so the fraction would be all of the other movies over total movies. Hope this helps!
Answer:
NO im gonna ask yall a question , why should we have to have an upgrade and be charged when we should learn and find out answers FOR FREE!! no uprgrade and no charging i need answers for free !!!!!!!
In a factory, eggs are packaged in groups of 12 per box.How many full boxes of eggs can the factory make with 2321 eggs?
Pretty please answer diss
Answer:15
Step-by-step explanation:
x=180-(110+55)=15
Sarah practices the piano 1/3 hour in the morning, 5/6 hour in the afternoon, and 4/5 hour in the evening.
Answer:
Sarah practices the Piano for 1.96666 Hours or 59/30 Hours
Step-by-step explanation:
0.33333 + 0.83333 = 1.16666
1.16666 + 0.8 = 1.96666
1.96666 = 59/30
Help pls I can’t get this anymore
Answer:
D
Step-by-step explanation:
According to the Pythagorean theorem, if you call the 2 legs of a right triangle a and b respectively and call the length of the hypotenuse c, you have:
[tex]a^{2} + b^{2} = c^{2}[/tex]
=> [tex]36^{2} + 10^{2} =[/tex] [tex]hypotenuse ^{2}[/tex]
=> 1396 = [tex]hypotenuse ^{2}[/tex]
=> hypotenuse = [tex]\sqrt{1396}[/tex] (inch)
=> Answer D
The price of a notebook was 3.70 yesterday. Today, the price fell to 3.20. Find the percentage decrease. Round your answer to the nearest tenth of a percent.
Answer:
The price was dropped around 15%
Step-by-step explanation:
You will pay $3.15 for a item with original price of $3.70 when discounted 15%. In this example, if you buy an item at $3.70 with 15% discount, you will pay 3.70 - 0.555 = 3.15 dollars.
A National Institute of Health survey of 40467 U.S adults found that 3156 of them experienced at least one major depressive episode in the previous year. Make a 95% confidence interval for the proportion of all U.S. adults who experienced depression in that year. (Source: https://www.nimh.nih.gov/health/statistics/major-depression)
Using the information given, it is found that the 95% confidence interval for the proportion of all U.S. adults who experienced depression in that year is (0.075, 0.081).
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
3156 out of 40467 adults experienced depression, hence:
[tex]n = 40467, \pi = \frac{3156}{40467} = 0.078[/tex]
95% confidence level
So [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.078 - 1.96\sqrt{\frac{0.078(0.922)}{40467}} = 0.075[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.078 + 1.96\sqrt{\frac{0.078(0.922)}{40467}} = 0.081[/tex]
The 95% confidence interval for the proportion of all U.S. adults who experienced depression in that year is (0.075, 0.081).
A similar problem is given at https://brainly.com/question/16807970
*6. This is a list of ingredients for making a pear & almond crumble for 4 people.
Ingredients for 4 people:
80 g plain flour
60 g ground almonds
90 g soft brown sugar
60 g butter
g
4 ripe pears
Jessica wants to make a pear & almond crumble for 10 people.
Here is a list of the amount of each ingredient Jessica has in her cupboard.
250 g plain flour
100 g ground almonds
200g soft brown sugar
150 g butter
8 ripe pears
Work out which ingredients Jessica needs to buy more of.
You must show all of your working.
The cost to run Machine 1 for an hour is $2. During that
hour, Machine 1 produces 240 bolts and 100 nuts. The cost
to run Machine 2 for an hour is $2.40. During that hour,
Machine 2 produces 160 bolts and 160 nuts. With a combined
running time of no more than 30 hours, how long should
each machine run to produce an order of at least 2080 bolts
and 1520 nuts at the minimum operating cost?
this is applications of linear programming
Answer:
Math SMH
Step-by-step explanation:
Pam makes 5 liters of apple juice. She saves 0.5 liter of apple for dinner and puts the rest in bottles . If each bottle bottle holds 0.75 liter, how many apples of apple juice can pam fill?
The number of bottles she can fill if, Pam makes 5 liters of apple juice. She saves 0.5 liters of apples for dinner and puts the rest in bottles is 6.
What is multiplication?One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.
Given:
Pam makes 5 liters of apple juice. She saves 0.5 liters of apples for dinner and puts the rest in bottles,
If each bottle holds 0.75 liters,
Calculate the amount of juice left as shown below,
The amount of juice left = 5 - 0.5
The amount of juice left = 4.5 liter,
Calculate the number of bottles as shown below,
The number of bottles = The amount of juice left / juice held by each bottle
The number of bottle = 4.5 / 0.75
The number of bottles = 6
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30 boys and 56 girls as a ratio
Answer:
30:56!
Step-by-step explanation:
since 30 boys is mentions first you can start it as that way
it helps me better and is way more efficient