Answer:
9. b) 3.14 m²
10. d) 36.98 cm²
Step-by-step explanation:
9: Area of circle: πr²
one fourth of a circle, so its 1/4πr²
1/4*3.14*2²
1/4*3.14*4
3.14
10.
Diameter is 4.3 so the width of rectangle is 4.3
both circle has diameter of 4.3 so the length is 4.3*2 = 8.6
Area - L x W
4.3*8.6
= 36.98
A building 240 feet tall casts a 40 foot long shadow. If a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the person's eyes to the top of the building (to the nearest hundredth of a degree)? (Assume the person's eyes are 4 feet above ground level.)
9514 1404 393
Answer:
80.38°
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
The person is standing 40 ft from the building. The point they're looking at is 236 ft above their eyes. So the angle α is found from ...
tan(α) = 236/40
α = arctan(236/40) ≈ 80.38°
.)Veronica gets her hair cut. The basic haircut is $25. The sales tax is
8%. Then, she adds a 15% tip to the base price of the haircut. How
much does she spend altogether
Answer:
$31.05
Step-by-step explanation:
8% of 25 is 2
25 + 2 = 27
15% of 27 is 4.05
27 + 4.05 = 31.05
$31.05 is how much she spends
Which point would be a solution to the system of linear inequalities shown below?
The coordinates in the solution to the systems of inequalities is (12, 1)
Solving the systems of inequalitiesFrom the question, we have the following parameters that can be used in our computation:
y > -4x + 6
y > 1/3x - 7
Next, we plot the graph of the system of the inequalities
See attachment for the graph
From the graph, we have solution to the system to be the shaded region
The coordinates in the solution to the systems of inequalities graphically is (12, 1)
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from a point 1.75 m above the ground and 10 m away from a tower the angle of elevation of a top of a tower is 60 degree calculate the height of the tower
Answer:
17.32 meters
Step-by-step explanation:
Let’s call the height of the tower H. The distance from the point to the base of the tower is 10 m. The angle of elevation from the point to the top of the tower is 60 degrees.
Using trigonometry, we can calculate that:
tan (60) = H / 10
H = 10 * tan (60)
H = 10 * √3
H = 17.32 m
Therefore, the height of the tower is 17.32 meters.
Let me know if I helped :)
find the equation of the line with slope 6 and containing the point (3,1). Write the equation in function notation
ANSWER
f(x) = 6x - 17
EXPLANATION
The equation of a line with slope m and y-intercept b is:
\(f(x)=mx+b\)We know the slope of this line, m = 6, so we have this equation:
\(f(x)=6x+b\)To find the y-intercept we have to replace f and x with the given point: f(3) = 1:
\(\begin{gathered} 1=6\cdot3+b \\ 1=18+b \\ b=1-18 \\ b=-17 \end{gathered}\)The equation is:
\(f(x)=6x-17\)Leo takes 15 minutes to cycle to school at an average speed of 12 km/h. What speed will he have if he only takes 12 minutes?
Answer:
15 km/h
Step-by-step explanation:
Leo takes 15 minutes to cycle to school at an average speed of 12 km/h. What speed will he have if he only takes 12 minutes?
15 minutes * (1 hour)/(60 minutes) = 0.25 hour
speed = distance/time
distance = speed * time
distance = 12 km/h * 0.25 hour = 3 km
He cycles a distance of 3 km.
12 minutes * (1 hour)/(60 minutes) = 0.2 hour
speed = distance/time
speed = 3 km/(0.2 hour)
speed = 15 km/h
How do you do the math on this? Movie starts at 4:38pm and ends at 6:22pm. How long was the movie?
Answer:
1hr 44 mins
Step-by-step explanation:
Answer:
2 hours and 24 minutes
Step-by-step explanation:
4.38 - 6.22 = 1.84 (the one would be and hour and the 84 would be minutes)
84 - 60 = 24 (60 minutes equal an hour)
2 hours and 24 minutes would be your answer
XYZ was reflected to form LMN. Which statements are true regarding the diagram?
Answer:
XYZ = LMN
Y = M
X = L
XZ = LN
Step-by-step explanation:
Y = 86, M = 86, M = Y
X = 38, L = 38, X = L
Z = 56, N = 56, Z = N
A,B,C,and F I just did this problem on edge
Sage and determine the narrative point of view.
The Scarecrow found a tree full of nuts and filled Dorothy's basket with them, so that she would not be hungry for a long time. She thought this was very kind and thoughtful of th
Scarecrow, but she laughed heartily at the awkward way in which the poor creature picked up the nuts. His padded hands were so clumsy that he dropped almost as many as he
the basket. But the Scarecrow did not mind how long it took him to fill the basket, for it enabled him to keep away from the fire, as he feared a spark might get into his straw and E
him up.
What is the point of view in this passage?
O Third Person Omniscient Perspective
O First Person Perspective
O None of these answers are correct.
O Third Person Limited Omniscient Perspective
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Third Person Omniscient Perspective is the point of view in this passage. Thus, option A is correct.
What is the narrative of the story?The Scarecrow discovered a tree full of nuts and filled Dorothy's basket with them, which Dorothy thought was thoughtful and kind.
Third person omniscient perspective is a narrative technique in which the narrator is not a character in the story, but instead has an all-knowing perspective of the events and characters. This allows the narrator to provide insight into the thoughts and feelings of all the characters in the story.
The Scarecrow, on the other hand, was clumsy and dropped many of the nuts, which he didn't mind because it kept him away from the fire.
Therefore, option A is the correct option.
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The perimeter of a square is 67 cm. What is the length of its
side?
a 20.56 cm
b 12.36 cm
C 16.75 cm
d 45.76 cm
SHARE 300 USING 2:3:5
If we divide 300 into parts using the ratio 2:3:5, we get:
2 parts = 2/10 of the total ratio = 2/10 x 300 = 60
3 parts = 3/10 of the total ratio = 3/10 x 300 = 90
5 parts = 5/10 of the total ratio = 5/10 x 300 = 150
Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.
I hope I helped!
~~~Harsha~~~
Lily used lime green, pink, blue, orange and yellow to make the bracelet. What fraction of the bracelet was the pink, blue and orange?
Jake drove 4 miles south from his house. He forgot something at home, so he had to make a U-turn. After leaving his house again, he drives south for 10 miles to his final destination. Which statement is true
Answer:
Hence his displacement would be 10 miles and the total distance he travels is 18 miles.
Step-by-step explanation:
Jack travel 4mile in South then come home so his net displacement is zero because his initial and final point coincide. Now he again travels 10 miles within the South so his displacement would be 10 miles and therefore the total distance he travels is
⇒ 4 +4+ 10 =18 miles.
Dose anyone get this i am confused
Answers:
a) 32500
b) 0.00604
c) 2.4 * 10^6
d) 1.47 * 10^(-3)
===================================================
Explanation:
The exponent over the 10 tells us how many spaces to move right or left. If the exponent is positive, we move right. If negative, we move left. Think of a number line.
For part (a), the exponent is 4. So we move the decimal point 4 spaces to the right.
The 3.25 then becomes 32500
--------------
In part (b), the exponent -3 means we move 3 spots to the left to go from 6.04 to 0.00604
---------------
Part (c)
Place the decimal point between the first two digits and erase the zeros to get 2.4
Then we need to move the decimal point 6 spots to the right to get back to 2,400,000 again
Therefore we can say 2,400,000 = 2.4*10^6
---------------
Part (d)
Place the decimal point just after the first nonzero digit, and erase the zeros to the left to get 1.47
We must move the decimal point 3 spots to the left to go from 1.47 back to 0.00147 again
It means 0.00147 = 1.47*10^(-3)
Answer: he is right
Step-by-step explanation:
What is difference between simple and compound interest
Answer:
Simple interest is calculated on the principal, or original, amount of a loan. Compound interest is calculated on the principal amount and also on the accumulated interest of previous periods, and can thus be regarded as "interest on interest."
In a right triangle, sin (x + 10)° = cos (4x - 4)°. Solve for x. Round your answer
to the nearest hundredth if necessary.
The value of variable x is,
⇒ x = 42
We have to given that;
In a right triangle,
⇒ sin (x + 10)° = cos (4x - 4)°
Now, We can simplify as;
⇒ sin (x + 10)° = cos (4x - 4)°
⇒ cos (90 - (x + 10))° = cos (x - 4)°
⇒ 90 - (x + 10) = x - 4
⇒ 90 - x - 10 = x - 4
⇒ 80 + 4 = 2x
⇒ 2x = 84
⇒ x = 42
Thus, The value of variable x is,
⇒ x = 42
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Find the mean, median mode(s), range, standard deviation, and variance of the data: 21, 15, 16, 25, 13, 18 5, 3, 2, 6, 5, 2, 5 Eight car sales men sold cars at a dealership. Here is the distribution of cars sold last month: 6, 45, 52, 43, 48, 41, 50, and 48. Find the mean, median mode(s), range, standard deviation, and variance of the data: Which measure of central tendency best represents the data
Answer:
Kindly check explanation
Step-by-step explanation:
Given tbe data :
21, 15, 16, 25, 13, 18 5, 3, 2, 6, 5, 2, 5
Ordered data : 2, 2, 3, 5, 5, 5, 6, 13, 15, 16, 18, 21, 25
Mean, m = Σx /n
Σx = 136
n = sample size = 13
m = Σx / n = 136 / 13 = 10.46
Mode, = 5 (most frequently occurring with frequency of 5)
Median = 1/2(n+1)th term = 1/2(14) = 7th term = 6
Range = maximum - minimum = [25 - 2] = 23
Variance : (V) = Σ(x - m)²/n-1
V = [(2-10.46)^2 + (2-10.46)^2 + (3-10.46)^2 + (5-10.46)^2 + (5-10.46)^2 + (5-10.46)^2 + (6-10.46)^2 + (13-10.46)^2 + (15-10.46)^2 + (16-10.46)^2 + (18-10.46)^2 + (21-10.46)^2 + (25-10.46)^2] / (13-1)
= 745.2308 / 12
= 62.10
Standard deviation = sqrt(V) = sqrt(62.10) = 7.88
2.)
X : 6, 45, 52, 43, 48, 41, 50, 48
Reordered data, X: 6, 41, 43, 45, 48, 48, 50, 52
Mean, m = Σx /n
Σx = 333
n = sample size = 8
m = Σx / n = 333 / 8 = 41.625
Median = 1/2 (n+1)th term = 46.5
Range = 52 - 6 = 46
Mode = 48 (highest occurring frequency of 2)
Variance (V) = Σ(x - m)²/n-1
V = [(6-41.625)^2 + (41-41.625)^2 + (43-41.625)^2 + (45-41.625)^2 + (48-41.626)^2 + (48-41.625)^2 + (50-41.625)^2 + (52-41.625)^2] / 5
= 1541.862251 / 7
= 220.27
Standard deviation = sqrt(Variance)
Standard deviation = sqrt(220.26603)
Standard deviation = 14.84
The median
A corporation creates a sinking fund in order to have $900,000 to replace some machinery in 10 years. How much should be placed in this account at the end of each month if the annual interest rate is 3.8% compounded monthly? (Round your answers to the nearest cent.) How much interest was earned during the third month of the 7th year?
The interest earned during the third month of the 7th year is $3,613.55.
What is interest rate?
The amount of interest due each period expressed as a percentage of the amount lent, deposited, or borrowed is known as an interest rate.
Let PMT be the monthly payment, r be the monthly interest rate, and n be the total number of payments. Then:
FV = PMT × [(1 + r)n - 1]/r
In this case, we want to find PMT, given that FV = $900,000, r = 0.038/12, and n = 10 × 12 = 120:
\($900,000 = PMT * {[(1 + 0.038/12)}^{120} - 1]/(0.038/12)\)
Solving for PMT, we get:
PMT = $682.48
\(FV = $682.48 * [(1 + 0.038/12)^87 - 1]/(0.038/12)\\\\ = $89,324.47\\\\PV = $682.48 * [(1 + 0.038/12)^83 - 1]/(0.038/12) \\\\= $85,710.92\)
The interest earned during the third month of the 7th year is:
$89,324.47 - $85,710.92 = $3,613.55
Therefore, the interest earned during the third month of the 7th year is $3,613.55.
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Please look at the pic and help!!
Answer:
4x² + 22x - 12
Step-by-step explanation:
A = bh/2
A = (4x - 2)(2x + 12)/2
A = (8x² + 48x - 4x - 24)/2
A = (8x² + 44x - 24)/2
A = 4x² + 22x - 12
what is between fractions 6/6 and 6/7
The fraction 13/7 lies between the fractions 6/6 and 6/7.
We have,
Between the fractions 6/6 and 6/7, there are infinitely many fractions.
To find a fraction that lies between these two fractions, we can take their average.
The fraction 6/6 simplifies to 1, and the fraction 6/7 cannot be simplified further.
To find the average, we add the two fractions and divide the sum by 2:
(6/6 + 6/7) / 2
To add the fractions, we need a common denominator, which is the least common multiple (LCM) of 6 and 7, which is 42.
Converting the fractions to have a common denominator:
(6/6) x (7/7) + (6/7) x (6/6) / 2
Simplifying the expression:
(42/42 + 36/42) / 2
Combining the numerators:
(78/42) / 2
Dividing:
78/42 = 13/7
Thus,
The fraction 13/7 lies between the fractions 6/6 and 6/7.
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2. Solve for x: 2(x - 5) = x + 3(x + 2)
Answer:
x=-8
Step-by-step explanation:
Answer:
x = -8
Step-by-step explanation:
Firstly, distrubute 2 to our parentheses (2x - 10). Now, let's add our like terms, 2x - 10 = 4x + 6 since x alone is one we add this to 3x, equaling 4x. Then we're going to move our variable and sign, 2x - 10 - 4x = 6. Alright, now combine like terms and calculate (2x - 4x), we know when we subtract two and four, it's a negative 2, -2x = 6 + 10 = 16. Now divide both sides of the equation by -2, 16 divided by -2 is -8. Therefore, x = -8, hope this helped! Have a great day!
Sue bought 2 large cans of dark beans and 4 pounds of chicken. Each can of beans
costs $2.19. Her total cost was $ 20.34. How much did each pound of chicken cost?
Which each equation could you write to solve this problem?
i need help please and thanks
Answer:
Step-by-step explanation:
There are an infinite amount of possibilities with the solution of (4,1). As proof, plot the point (4,1) on a coordinate system. Then, draw straight lines that pass through that point. These lines can differ in slopes. They can be either be positive, negative, vertical, or horizontal.
x = 4
y = 1
x + y = 5
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Write the number in two other forms.
two and six tenths
Answer:
.6
.2
Step-by-step explanation:
11 subtracted from the sum of 7y and 2y is -38.
Answer: 7y = 38.11111111111 2y = 10.8888888889 the sum of these two equals to 49 so 11-49=-38 Hopefully you understood. But I didn't know what you wanted to know from this?
Step-by-step explanation: 11-(7y+2y)=-38
7y+2y=9y (basic math)
11-9y=-38 then you want to move -38 to the other side, and when you move it to the other side it changes its value then from -38 it becomes 38. Same for the -9y, we move it to the other side and it changes its value so now from -9y its 9y. So now are equation should look like this 11+38=9y. 11+38=49 => y=49÷9 y=5.44444444444 (49÷9) x 7 = 38.1111111111 and (49÷9) x 2 = 10.8888888889
HELP ME PLEASE!!!!!!
ZEARN!!!!
The expression 1 2/5 + 2 2/3 using fifteenths is 3 + 6/15 + 10/15
How to rewrite the expression using fifteenthsFrom the question, we have the following parameters that can be used in our computation:
1 2/5 + 2 2/3
3 + 2/5 + 2/3
To rewrite the expression using fifteenths, we multiply the numerator and the denominator of the fractions by the same number
In this case, we use 3 and 5
So, we have
3 + 2/5 * 3/3 + 2/3 * 5/5
Evaluate the products
3 + 6/15 + 10/15
Hence, the expression using fifteenths is 3 + 6/15 + 10/15
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HELP!! Will give brainliest
Answer:
my brother said it was
Step-by-step explanation:
1400.053...
Add quotation marks to the
sentence.
Take out your pencil, said
the teacher.
Step-by-step explanation:
Answer 70 Points!
The local government is concerned with the population of a new predatory fish, the tiger gar, which was first observed in Lake Richmond about 5 years ago.
The following table shows the approximate number of tiger gars living in the lake since 2016
This is an example of Exponential _________.
A. Decay
B. Growth
Answer:
Step-by-step explanation:
WHO EVER GETS THIS QUESTION RIGHT WILL GET 30 POINTS!
A school district has paid a construction business 1.5 million to build a school, but still needs to pay the construction business 12.35 million for the total amount of work. How much will it cost to build the school?
PLEASE SHOW WORK!
It will cost 13.85 million to build the school
How to calculate the amount of money it will take to build the school ?The school district paid a construction business 1.5 million to build a school
They still need to pay 12.35 million for the total amount of work
Therefore the cost of building the school can be calculated as follows
= 1.5 million + 12.35 million
= 13.85 million
Hence it will cost 13.85 million to build the school
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