Answer:
Step-by-step explanation:
The tenure of an FD can vary from 7, 15 or 45 days to 1.5 years and can be as high as 10 years. These investments are safer than Post Office Schemes as they are covered by the Deposit Insurance and Credit Guarantee Corporation (DICGC).
The length of FD in a right-angled triangle with EC as 18 units and CF as 26 units is 20.2 units.
The length of FD can be found using the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is FD, and the other two sides are EC and CF.
EC = 18 units
CF = 26 units
Plugging these values into the Pythagorean Theorem, we get:
[tex]FD^2[/tex] = [tex]EC^2[/tex] + [tex]CF^2[/tex]
[tex]FD^2[/tex] = [tex]18^2[/tex] + [tex]26^2[/tex]
[tex]FD^2[/tex] = 324 + 676
[tex]FD^2[/tex] = 1000
FD = [tex]\sqrt{[/tex](1000)
FD = 10 * [tex]\sqrt{[/tex](10)
FD = 20.2 units
Therefore, the length of FD is 20.2 units.
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Correct Question:
In a right-angled triangle with EC as 18 units and CF as 26 units, what is the length of FD.
Jenny does a weekly exercise program consisting of cardiovascular work and weight training. Each week, she exercises for at least 10 hours. She spends at most 12 hours doing cardiovascular work. She spends at most 7 hours on weight training. Let x denote the time (in hours) that Jenny spends doing cardiovascular work. Let y denote the time (in hours) that she spends on weight training. Shade the region corresponding to all values of x and y that satisfy these requirements.
Check the picture below. Notice, we didn't go below 0 on the x-axis, assuming the x-axis is the hours, because she couldn't do -1hours, but the area is between 0 - 7 hours.
Stan's favorite cereal provides 20% of the Vitamin A and 30% of the Vitamin C he needs daily. How many servings of this cereal must he consume before he gets the recommended daily requirement of both vitamins?
Answer:
Step-by-step explanation:
100 %/ 20 % = 5 servings
100 %/ 30 % = 3⅓ servings
He must consume 5 servings to get 100% of Vitamin A
In those servings he will consume 150% of Vitamin C
how would i plot this on a graph??
Step-by-step explanation:
This is in the form of
[tex]h(x) = y[/tex]
in this case, x is 1 and y is 7. So ourbpoint would be (1,7.)
Identify the common difference of the sequence: –8, –1, 6, 13,
They are skipping -7, 5, -7.
The common difference of the sequence is 18.
1. Use precise mathematical language to justify and explain each mathematical process.
Use the rectangle with side lengths 5.22 – 8x + 9 and x + 5 for the following two questions.
1. What is the perimeter of the rectangle? Write a summary of the process used to determine the expression.
2. What is the area of the rectangle? Write a summary of the process used to determine the expression.
Mathematical processes are the steps used to determine the result of operations
The perimeter of the rectangle is [tex]10x^2 - 14x + 28[/tex]The area of the rectangle is [tex]5x^3 +17x^2 -31x + 45[/tex]The dimension of the rectangle is given as:
[tex]Length = 5x^2 - 8x + 9[/tex]
[tex]Width = x + 5[/tex]
(1) The perimeter of the triangle
This is the sum of the side lengths of the rectangle.
So, we have:
[tex]Perimeter = 2 \times (Length + Width)[/tex]
This gives
[tex]Perimeter = 2 \times (5x^2 - 8x + 9 + x + 5)[/tex]
Collect like terms
[tex]Perimeter = 2 \times (5x^2 - 7x + 14)[/tex]
Open brackets
[tex]Perimeter = 10x^2 - 14x + 28[/tex]
Hence, the perimeter of the rectangle is [tex]10x^2 - 14x + 28[/tex]
(2) The area of the triangle
This is the product of the dimensions of the rectangle.
So, we have:
[tex]Area = Length \times Width[/tex]
This gives
[tex]Area = (5x^2 - 8x + 9) \times (x + 5)[/tex]
Open brackets
[tex]Area = 5x^3 - 8x^2 + 9x +25x^2 - 40x + 45[/tex]
Collect like terms
[tex]Area = 5x^3 - 8x^2 +25x^2+ 9x - 40x + 45[/tex]
[tex]Area = 5x^3 +17x^2 -31x + 45[/tex]
Hence, the area of the rectangle is [tex]5x^3 +17x^2 -31x + 45[/tex]
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(a) The perimeter of a rectangular garden is 320 m.
If the width of the garden is 74 m, what is its length?
(b) The area of a rectangular window is 5723 cm?
If the length of the window is 97 cm, what is its width?
Width of the window: cm what is the width
Answer:
86 m, 59 cm
Step-by-step explanation:
a. perimeter is 2L + 2W
320 = 2L + 2(74)
320 = 2L + 148
172 = 2L
86 m is length
b. area = L x w
5723 = 97 x w
5723/97 = 2
59 cm is width
a man buys an article for $600 and sells it for $710/ what is the profit or loss
Answer:
110$ (profit)Step-by-step explanation:
a man buys an article for $600 and sells it for $710/ what is the profit or loss?
a financial gain, especially the difference between the amount earned and the amount spent in buying, operating, or producing something.
so
710 - 600 = 110$ (profit)
Answer:
Profit of 110
Step-by-step explanation:
As he sells it at a higher price, he makes a profit.
A parabola can be drawn given a focus of (4,6) and a directrix of y = 2. What can be
said about the parabola?
Answer:
A.
Step-by-step explanation:
What is the Domain and Range of the relation shown in the table? x y 8 -4 6 -2 4 3 2 6
Answer:domain: {2,3,4,7} range: {0, 5, 9, 32}
Step-by-step explanation:
The domain is the set of all the values of x x . The range is the set of all the values of y y .
Part 1 of 2
O Points
What are the lateral surface area and total surface area of a cylindrical oil storage tank that has a 44-ft diameter and 18-ft height?
The lateral surface area of the cylindrical oil storage tank is
(Round to one decimal place as needed.)
The Lateral Surface Area of the cylindrical oil storage tank is [tex]2486.9\text{ sq.ft}[/tex]
The Total Surface Area of the cylindrical oil storage tank is [tex]5526.4\text{ sq.ft}[/tex]
If the height and base radius of the cylindrical oil storage tank are represented by [tex]h[/tex] and [tex]r[/tex] respectively, then
The Lateral Surface Area, also known as the Curved Surface Area, of the cylindrical oil storage tank has the formula
[tex]L=2\pi rh[/tex]
The Total Surface Area of the cylindrical oil storage tank has the formula
[tex]T=2\pi rh+2\pi r^2\\T=2\pi r(h+r)[/tex]
The values for the height and base radius are [tex]18ft[/tex] and [tex]22ft[/tex] respectively.
Calculate the Lateral Surface Area
[tex]L=2\pi rh\\=2\times 3.14\times 22\times 18\\\approx 2486.9\text{ sq.ft}[/tex]
Calculate the Total Surface Area
[tex]T=2\pi r(h+r)\\=2\times 3.14\times22(18+22)\\=5526.4\text{ sq.ft}[/tex]
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Draco runs a rate of 8 miles in 2.5 hours, how
fast does Draco run?
3.2 mile per hour
8/ 3.2
My daughter is having a hard time trying to figure this problem.
Hey there! :-)
First, let's find the slope of the line.
We can do that by using this formula:
Slope=Rise/Run
Where
Rise=how many units we move up
Run=how many units we move left or right.
We move 5 units up and 8 units to the right.
Therefore, the slope is 5/8.
The y-intercept (where the line touches the graph) is -9/8.=
Therefore, the equation of the line is y=5/8x-9/8.
Hope this helps you daughter. Use the comment section to clarify any doubts.
Answered by
~A felicitous teen who helps others with a smile on her face
Good luck.
Answer:
a - y=5/8x - 9/8
Step-by-step explanation:
firstly, work out the gradient between those two coordinates
[tex]gradient = \frac{change \: in \: y}{change \: in \: x} [/tex]
[tex]gradient \: = \frac{ - 3 - 2}{ - 3 - 5} = \frac{ - 5}{ - 8} = \frac{5}{8} [/tex]
now, use formula y=mx+c where y is the y coordinate, m is the gradient, x is the x coordinate and c is the y intercept
use any of the two coordinates in the graph. I'll use (5,2)
[tex]y = mx + c[/tex]
[tex]2 = \frac{5}{8} (5) + c[/tex]
[tex]2 = \frac{25}{8} + c[/tex]
[tex]therefore \: c \: is \: - \frac{9}{8} from \: doing \: 2 - \frac{25}{8} [/tex]
now we have the gradient and y intercept
so the equation is
[tex]y = \frac{5}{8} x - \frac{9}{8} [/tex]
10. A wedding reception bartender is faced with a problem: how many litres of fruit juice must be
mixed with 4 litres of a 24% flavoured rum to make a rum punch of 8% strength?
9.14 liters of fruit juice must be mixed with 4 liters of a 24% flavored rum to make a rum punch of 8% strength.
To determine how many liters of fruit juice must be mixed with 4 liters of a 24% flavored rum to make a rum punch of 8% strength, the following calculation must be performed:
(4 x 24 + 4) / 8 = 12.5 (4 x 24 + 8) / 12 = 8.66 (4 x 24 + 9) / 13 = 8.07 (4 x 24 + 9.14) / 13.14 = 8
Therefore, 9.14 liters of fruit juice must be mixed with 4 liters of a 24% flavored rum to make a rum punch of 8% strength.
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2. In a class 70 students, 44 like Bookkeeping, 36 like- Commerce, and 17 like both bookkeeping and commere How many student like both book keeping and commerce?
Answer:
17
Step-by-step explanation:
you said that in the problem lol
Answer:
17 like both bookkeeping and commerce
Step-by-step explanation:
The problem statement itself tells you ...
"17 like both bookkeeping and commerce"
8. The circle centered at Q is a scaled copy of the circle center
at R. (Lesson 3-1)
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a. Find the scale factor
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b. Find the value of x.
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Answer:
scale factor is: 1:4
the value of x is: x=4
Step-by-step explanation:
to find the answer, you do
x= √5² - 3² = √25 - 9 = √16 = 4
Can someone please help me.
Answer:
make that 30 percent int a fraction and u should know what to do
Step-by-step explanation:
Y=x+3 please helppppppppppol
Answer:
(-1, 2), (0,3), (1,4)
slope= 1
y-intercept= (0,3)
Step-by-step explanation:
State whether the system is consistent or inconsistent. If it is consistent, then state whether the graphs' equations are dependent or independent. State the number of solutions.
If a system has at least one solution, it is said to be consistent . If a consistent system has exactly one solution, it is independent . If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line.
A rock is 7 feet below the surface of a river. If its position can be recorded as −7 feet, what would the position of 0 represent? (5 points)
Question 3 options:
1)
On the surface of the river
2)
At the bottom of the river
3)
7 feet above the surface of the river
4)
7 feet below the surface of the river
Answer:
A on the surface of the river
Step-by-step explanation:
100 persent correct
The volume of a rectangular prism can be computed using the formula V = lwh.
What is the width of a prism that has a volume of 1664 cubic cm a length of 16 cm and a height of 8 cm?
11 cm
13 cm
26 cm
768 cm
Answer:
13cm
Step-by-step explanation:
substitute values we have into the formula:
1664 = 16 x w x 8
rearrange:
1664/16×8 = w
which equals 13
Answer:
13
Step-by-step explanation: just took the test :)
the distance between(3,-3) and (-3,5)
Answer:
10 units
Step-by-step explanation:
use distance formula to solve for this!
distance formula is
the square root of the change in x squared + the change in y squared.
sqrt (3+3)^2 + (|-3-5|)^2
sqrt 36 + 64
sqrt 100 = 10
the distance is 10 !
Answer:
the ditstance between (3,-3) and (-3,5) is 10
Step-by-step explanation:
we know the distance in a cartesian axis is
[tex] \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} }[/tex]
so the answer is calculated 10
A box is 36 inches long,18 inches wide, and 6 inches deep. How many cubic feet are in the box?
Answer:
3,888 ft³
Step-by-step explanation:
Multiply the dimensions together.
[tex](36)(18)(6)=3888[/tex]
Therefore, the box is 3,888 ft³.
The volume of the box in feet given its dimensions is 2 1/4 feet³.
What is the volume of the box?The volume of the box can be determined by multiplying the length, width and height of the box with each other.
Before the volume can be determined, the dimensions have to be converted from inches to feet.
1 inch - 1/12 feet
Length = 36 / 12 = 3 feet Width = 18 / 12 = 3/2 feet Height = 6/12 = 1/2 feetVolume = 3 x 3/2 x 1/2 = 9/4 = 2 1/4 feet³
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67*25 helpppp pleaseeee
Answer:
1675
Step-by-step explanation:
do people not have calculators?
Show that the equation y + 2 = 2(2x + 1) is linear and that it represents a proportional relationship between x and y.
In solving the following system of equations, how many equations do you need to multiply in order to use the method of elimination?
Equation 1: −5x−20y=−15 Equation 2: 2x + 8y = 6
A. Two
B. None
C. One
Give the solution to the system above
A. No solution
B. (3, 7)
C. IMS
D. ( -2, 5)
Answer:
i think its a and d
Step-by-step explanation:
You take a test with 25 questions. Your grade on the test was a 80%. How many questions did you get right?
Answer:
20 questions
Step-by-step explanation:
1.) Use the following equation:
[tex]\frac{x}{y}[/tex] = [tex]\frac{p}{100}[/tex]
2.) For this equation,
x is the # of test question you got righty is the total # of test questionsp is the grade you got on the test3.) Substitute
[tex]\frac{x}{25}[/tex] = [tex]\frac{80}{100}[/tex]
4.) Solve
[tex]\frac{x}{25}[/tex] = [tex]\frac{80}{100}[/tex]
[tex]\frac{x}{25}[/tex] = [tex]\frac{8}{10}[/tex]
[tex]\frac{x}{25}[/tex] = [tex]\frac{4}{5}[/tex]
5.) Cross Multiply
[tex]\frac{x}{25}[/tex] = [tex]\frac{4}{5}[/tex]
5x = 100
6.) Divide
5x = 100
x = 20
Therefore, you got 20 questions right.
3 ft of a 3 inch crown molding costs you $8.75 at the lumber store. How much would it cost for 31 ft?
Answer:
9.10 * 8.75 = 79.62
Step-by-step explanation:
Sorry if its wrong... :(
1. Gavin buys 89 blue pansies and
86 yellow pansies. He will plant the flowers
in 5 rows with an equal number of plants
in each row. Draw a bar model to help you
find how many plants will be in each row,
O
17
Spiral Review
nose nilo que dise perdoooooooon xd
simplify [tex]y^{-3}[/tex]y^-3
Answer:
[tex]\frac{1}{y^{3} }[/tex]
Step-by-step explanation:
How many ways are there to select 3 candidates from 8 equally qualified recent graduates for
openings in an accounting firm?
Step-by-step explanation:
How many ways are there to select 3 candidates from 8 equally qualified recent graduates for
openings in an accounting firm?