Answer:
432 inches
Step-by-step explanation:
We need to convert feet to inches
1 ft = 12 inches
36 ft * 12 inches/ 1 ft = 432 inches
what is the area of triangle JHK?
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Answer:
4.18 square units
Step-by-step explanation:
The area is given by the formula ...
A = 1/2bh
where b is the length of the base, and h is the perpendicular distance from the base to the opposite vertex.
A = 1/2(2.2)(3.8) = 4.18 . . . square units
Let (2,-5) be a point on the terminal side of theta find the exact values of cos theta csc theta and tan theat
Answer:
Step-by-step explanation:
x = 2, y = -5
√(2²+(-5)²) = √29
cosθ = 2/√29 = (2√29)/29
sinθ = -5/√29
cscθ = 1/sinθ = -√29/5
tanθ = sinθ/cosθ = -5/2
The values of cos theta is 2/[tex]\sqrt{29}[/tex] , cosec theta is [tex]\sqrt{29} /5[/tex] and tan theta is 5/2 if the point on the terminal side of theta is (2,-5).
What is pythagoras theorem?It says that in a right angled triangle the square of the hypotenuse is equal to the sum of the square of base and square of height.
How to find values of trigonometric function?We have been given a point (2,-5) on the terminal side. Let us plot the point on the graph and join it with origin from both ends.
By pythagoras theorem we can easily find AC=[tex]\sqrt{5^{2}+2^{2} }[/tex]
AC=[tex]\sqrt{29}[/tex]
With the help of the sides of the triangle we can find the value of
cos theta=2/[tex]\sqrt{29}[/tex]
cosec theta=[tex]\sqrt{29}[/tex]/5
tan theta=5/2
Hence the values of cos theta, cosec theta, tan theta are 2/[tex]\sqrt{29}[/tex],[tex]\sqrt{29}[/tex]/5,5/2 respectively.
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Five more than twice a number is three. Write that in equation
Step-by-step explanation:
Hi there!
According to the question;
Five more than twice a number is three.
Then let the number be "x".
Since X is the number according to the condition of question;
The number is twice : 2x
It's then more 5 : 2x+5
And the result is : 3,
Combining all; we get,
2x+5 = 3
Therefore, the required equation is 2x+5 = 3.
Hope it helps!
Can anyone help me?
Answer:
y is not a function of x
Step-by-step explanation:
This fails the vertical line test. This means that not all inputs have exactly one output. This makes this not a function.
A hunter walks 400m Up a hill which slopes at an angle of 20 to the horizontal. Calculate,correct to the nearest metre, the: a. horizontal distance he covered b.vertical height through which he rises.
let y be the horizontal distance and x the vertical
y/400 = cos 20
y=400 cos20
y=376m
x/400 =sin20
x=400sin20
x=137m
Product A sells 1.5 times more than Product B. Product B sells 70% less than Product C. Product C sold 34,000 units this month.
How many units of Product A were sold?
10,200
15,300 23,800 35,700 51,000
Answer:
15,300 units
Step-by-step explanation:
First, find how many units of Product B were sold:
34,000(0.3)
= 10,200
Find how many units of Product A were sold:
10,200(1.5)
= 15,300
So, 15,300 units of Product A were sold.
Product A sold 15,300 units that is 1.5 times more than product B
Given :
Product A sells 1.5 times more than Product B. Product B sells 70% less than Product C.
Product C sold 34,000 units this month
Product C sold = 34000
Product B is 70% less than product C
So, product B is 100-70% =30% of product C
[tex]Product B=\frac{30}{100} \cdot 34000\\Product B \; sold = 10200[/tex]
Lets find out product A sold
Product A sold = 1.5 times more than product B
[tex]Product A= 1.5 \cdot product B\\Product A=1.5 \cdot 10200=15300[/tex]
15,300 units of product A were sold.
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QUESTION 3.1 POINT
An investment pays 25% interest compounded monthly. What percent, as a decimal, is the effective annual yied? Enter your
answer as a decimal rounded to four decimal places.
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Answer:
0.2807
Step-by-step explanation:
The relationship between the effective annual yield (e) and the nominal annual interest rate (r) compounded n times per year is ...
e = (1 +r/n)^n -1
e = (1 +0.25/12)^12 -1 = 0.2807 . . . . . . about 28.07%
In the figure above, AD and BE intersect at point C, and
the measures of angles B, D, and E are 98°, 81°, and 55°,
respectively. What is the measure, in degrees, of
angle A ? (Disregard the degree sign when gridding your
answer.)
answer in screenshot
The square root of 3/100 is between what two numbers
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Answer:
0.17 and 0.18
Step-by-step explanation:
Usually, a question like this asks for two integer values that bound the root. Here, those would be 0 and 1.
√(3/100) = (√3)/10 ≈ 0.17320508...
You can truncate this at any point to find a number lower than √.03, then add 1 to that value's least-significant digit to find a number higher than √.03.
For example, if we use 4 digits, the two numbers bounding the root could be ...
0.1732 and 0.1733
The 25th percentile for waiting time in a doctor's office is 25 minutes. The 75th percentile is 40 minutes. The interquartile range (IQR) is
Group of answer choices
15 minutes.
14 minutes.
impossible to determine without knowing n.
13 minutes.
Answer:
15 minutes
Step-by-step explanation:
The IQR is the range between Q1 and Q3. The quartile that represents 25% is Q1 and 75% is Q3. So, to solve find the range between 75% and 25%. The range is the difference. Therefore, subtract 25 from 40 to get the final answer, 15 minutes.
I'm having an issue with a perpendicular line equation
Answer:
Step-by-step explanation:
y = [tex]\frac{5}{6}[/tex] x - 12
m = [tex]\frac{5}{6}[/tex]
( - 1, 2 )
y - 2 = [tex]\frac{5}{6}[/tex] ( x - ( - 1 ))
Equation of the ║ line is y = [tex]\frac{5}{6}[/tex] x + [tex]\frac{17}{6}[/tex]
Slope of the perpendicular line is ( - [tex]\frac{6}{5}[/tex] )
y - 2 = - [tex]\frac{6}{5}[/tex] ( x - ( - 1 ))
Equation of the ⊥ line is y = - [tex]\frac{6}{5}[/tex] x + [tex]\frac{4}{5}[/tex]
URGENT! 15 PNTS
Points T, R, and P, define _____
A. plane B
B. line e
C. line segment PR⎯⎯⎯⎯⎯⎯⎯
D. plane M
Answer:
Since points T, R, and P are all present on plane B, the answer is A.
Points T, R, and P define plane B
We have given that,
A. plane B
B. line e
C. line segment PR⎯⎯⎯⎯⎯⎯⎯
D. plane M
We have to determine the Points T, R, and P, define
What is the plane?A plane is a two-dimensional doubly ruled surface spanned by two linearly independent vectors. The generalization of the plane to higher dimensions is called a hyperplane. The angle between two intersecting planes is known as the dihedral angle.
Since points T, R, and P are all present on plane B, the answer is A
Points T, R, and P define plane B.
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Steve and Herb are choosing seats at the baseball stadium.
The seats are numbers like a coordinate grid. Steve
chooses the seat at (1, 2). If Herb does not want to sit in the
same vertical or horizontal row as Steve's seat, which seat
should he choose?
OA) (0,2)
B) (0,1)
C) (1,0)
OD) (-1,2)
The solution is: B) (0,1) is the seat should he choose.
What is coordinate?Coordinates are a pair of numbers which are used to determine the position of a point or a shape in a 2-dimensional plane. We define the position of a point on a 2D plane using two numbers, called the x-coordinate and the y-coordinate.
here, we have,
given that,
Steve and Herb are choosing seats at the baseball stadium.
The seats are numbers like a coordinate grid. Steve chooses the seat at (1, 2).
If Herb does not want to sit in the same vertical or horizontal row as Steve's seat.
now, we have,
in the same vertical or horizontal row means The x value should not contain the number 1, and, the y value should not contain the number 2 .
now, we get,
The x value should not contain the number 1, so we can eliminate choice c,
the y value should not contain the number 2 so we can Eliminate option A and D.
The only we one we have not eliminated is B,
and it follows the rules of not having 1 in the x value or 2 in the y value.
Therefore the answer is option B.
Hence, The solution is: B) (0,1) is the seat should he choose.
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please help me with this
——/———————-////—————-
Answer:
"C"
Step-by-step explanation:
-B means the B is in the opposite direction
a number is divisible by 10 if it has ____ in ones place .
Answer:
A number is divisible by 10 if it has a zero in ones place.
Step-by-step explanation:
We know that 10= 2 x 5 .So to be divisible by 10 we have to be divisible by both 2 and 5As we know ,Numbers divisible by 2 are even numbers and numbers divisible by 5 if it has a zero or a five in ones place . From that, we have A number is divisible by 10 if it has a zero in ones place.60°
8
30°
х
Determine the value of x.
Answer:
4 sqrt(3) =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 60 = x / 8
8 sin 60 = x
8 ( sqrt(3)/2) = x
4 sqrt(3) =x
modeled by a cylinder with diameter 15 feet
kabura bought a piece of cloth 3 metres long. The material shrunk by 1% after washing. What was the new length of the cloth
Answer:
2.97m
Step-by-step explanation:
1% of 3m =1/100×3=0.03
0.03m of cloth was shrunk,
So, New lenght : 3-0.03=2.97m
What expression is equivalent to 18 1/5 ( -22 2/5 ) - (-40 1/5 )
(18 1/5 * (-22 2/5)) - (-40 1/5) = -367.48
Needs to be done using the Pythagorean Theorem
Answer:
11.3 ft high
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
4² + b² = 12²
16 + b² = 144
b² = √128
b = 11.3
For what value of x is the parallelogram a rhombus.
Answer:
Step-by-step explanation:
2 × ( 3x + 6 )° + ( 16x + 14 )° = 180°
22x + 26 = 180
22x = 154
x = 7
Simplify the exponential expression -8 squared
Answer:
-64
Step-by-step explanation:
-8^2
-8( -8)
=-64
453,193 what is the value of the 5
Answer:
50,000
Step-by-step explanation:
3 is in the ones place so 3
9 is in the tens place (90)
1 is in the hundreds place (100)
3is in the thousands place (3,000
What is the variable used in the equation 5x + 2 =100?
Answer:
[tex]5x + 2 = 100 \\ 5x = 100 - 2 \\ 5x = 98 \\ x = \frac{98}{5} \\ x = 19.6[/tex]
Answer: the answer would be x because that's the actual variable in the question then if 19.6 was not an option
Step-by-step explanation:
What is 3 times 10^9
Answer:
3 times 10 ^ 9
Step-by-step explanation:
3 × 10 ^ 9 = 3000000000
Mr. Green just spent $11.95 on a
haircut. About how much should he
leave for a 15% tip?
1) you find the multiplier by dividing 15÷100=0.15
2) multiply the answer by 11.95 so 0.15x11.95=1.792 so the answer is $1.792 because it is 15% of $11.95
Answer:
13.74
Step-by-step explanation:
To determine the tip, take the total amount and multiply by the tip percentage
11.95 * .15
1.7925
Round to the nearest cent
1.79
Add this to the cost of the haircut
11.95+1.79
13.74
Brenna went to the mall with her mom. They started shopping at 4:47 P.M. First, they spent 26 minutes in the shoe store. Then they spent 1 hour and 13 minutes shopping for a dress for Brenna. Finally, they spent 1 hour and 2 minutes eating dinner at the food court. What time was it when Brenna and her mom finished eating dinner?
Brenna and her mom finished eating dinner at 7:28 PM
They started shopping at 4:47 PM, and spent 26 minutes in the shoe store.
4:47 + 26 = 5:13 PM
They spent another 1 hour and 13 minutes shopping for a dress.
5:13 + 1 hr 13 min = 6:26 PM
Finally, they spent 1 hour and 2 minutes eating dinner at the food court.
6:26 + 1 hr 2 min = 7:28 PM
Hope this helps :)
You are planning to attend college next year. The total cost of tuition and textbooks is $10,000. If you go to school, your room and board will cost you $5,000. If you did not go to school, however, you would live at home, and your total room and board would only be $1,000. Additionally, if you did not go to college, you would work a job making $20,000 for the year.
1. In terms of room and board alone, what would be opportunity cost of attending college. Be sure to explain your answer
2. What are the explicit costs of attending school? How much should be included for room and board?
3. What would be the implicit cost of attending college next year?
4. What would be the total opportunity cost of attending college next year?
Opportunity Cost of attending college, in terms of room and board is $4000 . Explicit Cost, Implicit Cost of attending college is $14000, $20000. Total Opportunity Cost of attending college is $34000
1. Opportunity Cost is the cost of next best alternate foregone, as in value of sacrifice made, while choosing an alternative.
Money foregone to attend college, in room & board = room & board cost with college - room & board cost without college = 5000 - 1000 = 40002. Explicit Cost is the actual out of pocket cash expenses outflow, done for choosing an option. Eg : Cash expenditures
In this case, cash expenses for attending college = 140003. Implicit Cost is the implied estimated cost of self supplied factors of production, like value of self labour & self owned land etc.
In this case : Value of self labour, sacrificed for attending college, ie the salary which could have earned by doing job meanwhile = 200004. Total opportunity cost of attending college = Explicit Cost + Implicit Cost = 14000 + 20000 = 34000
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How many gallons of a 5% bleach solution must be
added to 10 Gallons of a 20% bleach solution to
produce that is 15% bleach
Answer:
Step-by-step explanation:
10 gallons of the 20% solution contain 2 gallons of bleach.
x gallons of the 5% solution contain 0.05x gallons of bleach.
If the two are combined, the resulting 10+x gallons contain 2+0.5x gallons of bleach. The concentration is (2+0.05x)/(10+x).
(2+0.05x)/(10+x) = 15%
2+0.05x = 0.15(10+x)
2+0.05x = 1.5+0.15x
0.5 = 0.10x
x = 5
5 gallons of 5% solution is added to the 10 gallons of 20% solution.
Need help with this- Precalculus
use x^2 when x=0 because the restriction for it is "use x if x is less than or equal to 1"
when x = 0, (0)^2 will make f(x) = 0
the graph of f(x) will just be a dot at 0
