Answer:
d 150
Step-by-step explanation:
Answer:
150
Step-by-step explanation:
Triangles BAD and BDC are right triangles with AB = 12 units, BD = 15 units, and $BC = 17 units. What is the area, in square units, of quadrilateral ABCD?
Answer:
The area of the quadrilateral ABCD is 114 square units
Step-by-step explanation:
We must calculate the area of each triangle and then add these areas so we calculate the area of the quadrilateral ABCD
First for the BAD right triangle:
AD = sqrt [BD ^ 2 - AB ^ 2]
AD = sqrt [15 ^ 2 - 12 ^ 2]
AD = sqrt [225-144]
AD = sqrt [81]
AD = 9
The area of a triangle is half the product of the base times the height, that is:
A1 = AB * AD / 2 = 12 * 9/2 = 54
Then for the second triangle in the right triangle BDC:
DC = sqrt [BC ^ 2 - BD ^ 2]
DC = sqrt [17 ^ 2 - 15 ^ 2]
DC = sqrt [289 - 225]
DC = sqrt [64] = 8
We calculate the area
A2 = DC * BD / 2 = 8 * 15/2 = 60
The total area then is:
AT = A1 + A2
AT = 54 + 60 = 114
Which means that the area of the quadrilateral ABCD is 114 square units
what kind of novel is nutshell?
Answer:
i dont know what is it
den
Bob, Paula and Sam invest $50000 in a business. Bob invests $4000 more than Paul does and Paul invests $5000 more than Sam does. If the total profit was $70000, select the correct answer. Note that the profit is distributed proportionally based on the respective amount each invested. A. The ratio of the investment of Bob, Paula and Sam is 11:15:10. B. The ratio of the investment of Bob, Paula and Sam is 12:17:21. C. The ratio of the investment of Bob, Paula and Sam is 12:5:4. D. The profit of Paula was $23,800
Answer:
D
Step-by-step explanation:
since sam invest the least, let a be the amount invested by sam
sam = a
paul = a + 5000
bob = a + 5000 + 4000
3a + 14000 = 50000
3a = 36000
a = 12000
thus sam is 12000, paul is 17000 and Bob is 21000
therefore the ratio of B:P:S is 21:17:12
profit by paula is 17/50 x 70000 = 23800
The profit by Paula is 17/50 x 70000 = 23800.
We have given that Bob, Paula and Sam invest $50000 in a business. Bob invests $4000 more than Paul does and Paul invests $5000 more than Sam does. If the total profit was $70000
Since sam invest the least, let a be the amount invested by sam
Therefore we get,
sam = a
What is the investment of Paul?
The investment of Paul = a + 5000
Bob = a + 5000 + 4000
3a + 14000 = 50000
3a = 36000
divide both sides by 3 so we get,
a=36000/3
a = 12000
Therefore, sam is 12000,
paul =5000+12000=17000 and
Bob =12000+9000= 21000
Therefore the ratio of B:P:S is 21:17:12
The profit by Paula is 17/50 x 70000 = 23800.
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BRAINLIEST ASAP! LENGTH OF AC?
Answer:
2.33 units
Step-by-step explanation:
[tex]\tan 25\degree =\frac{AC}{5}\\\\0.46630 = \frac{AC}{5}\\\\AC = 0.46630 \times 5\\AC =2.3315\\AC = 2.33 \: units[/tex]
The tuition at a college was $30,000 in 2012, $31,200 in 2013, and $32,448 in 2014. The tuition has been increasing by the same percentage since the year 2000.
The equation C(T) = LaTeX: 30000\cdot1.04^T
30000
⋅
1.04
T
represents the cost of tuition, in dollars, as a function of T, the number of years since 2012. Explain what the 30,000 and 1.04 tell us about this situation.
What is the percent increase in tuition from year to year?
What does C(3) mean in this situation? Find its value and show your reasoning.
a. Write an expression to represent the cost of tuition in 2007.
b. How much did tuition cost that year?
Previous Next
The meaning of each parameter is given as follows:
30,000: cost in the reference year of 2012.1.04: rate of change.Then the yearly percent increase is of:
4%.
C(3) represents the cost in 2015, which was of $33,746.
a) The expression to represent the cost in 2007 is of: C(-5).
b) The cost was of: $24,658.
How to define an exponential function?An exponential function is defined as follows:
y = ab^x.
In which:
a is the initial value.b is the rate of change.For this problem, the function is defined as follows:
y = 30000(1.04)^x.
In which:
x is the number of years since 2012.y is the cost in x years after 2012.C(3) represents the cost in 2015 and is obtained as follows:
C(3) = 30000(1.04)^3 = $33,746.
C(-5) represents the cost in 2007 and is obtained as follows:
C(-5) = 30000(1.04)^(-5) = $24,658.
(as 2007 was five years before 2012).
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What is the Surface Area of the figure below?
A
60 units2
B
60 units3
C
104 units2
D
104 units3
Answer:
D
Step-by-step explanation:
I'm really sry if it's wrong!
What is the simplest form of this expression?
(2x + 1)(x2 - 9X+11)
Answer:
2x³ - 17x² + 13x + 11
Step-by-step explanation:
(2x + 1)(x² - 9x + 11) Distribute the 2x then the 1
2x³ - 18x² + 22x + x² - 9x + 11 Combine like terms
2x³ - 17x² + 13x + 11
If this answer is correct, please make me Brainliest!
An angle whose measure is -102° is in standard position. Which quadrant does the terminal side of the angle fall?
Quadrant 1
Quadrant 2
Cuadrant 3
Cuadrant 4
Answer:3
Step-by-step explanation:
edg
simplify [tex]\sqrt{.49x^{18} }[/tex] where x<0
Answer:
-7x⁹
Step-by-step explanation:
[tex]\sqrt{49x^{18}} = \sqrt{(7^2)(x^9)^2} =\sqrt{(7x^{9})^2} = |7x^9|[/tex]
Since x < 0 ,then |7x⁹| = -7x⁹
Solve this system of equations.
2x + 6y = −6,
4x − 3y = −12
What is the solution to the system of equations?
Answer:
x = -3 and y = 0
Step-by-step explanation:
It would be more direct to apply elimination in this problem, rather than substitution:
2x + 6y = -6 ⇒ 2x + 6y = -6 ⇒ 10x = - 30
+ 2(4x - 3y = -12) + 8x - 6y = -24
Now let us solve for x through simply algebra:
10x = -30,
x = -3
Substitute this value of x into the first equation to get the value of y:
2( -3 ) + 6y = -6,
-6 + 6y = -6,
6y = 0,
y = 0
Answer:
-3 and 0
Step-by-step explanation:
i hope this helps :)
Greatest common factor for 30 abd 42
Answer:
6
Step-by-step explanation:
Because you are familiar with your times tables, you know that ...
30 = 6·5
42 = 6·7
The greatest common factor is 6.
Nora made 15 gallons of lemonade for a community picnic.
Part A
Which of the following can be used to find the number of pints of lemonade that Nora made?
15 × 2 × 2
15 × 4 × 2
15 × 3 × 2
15 × 4 × 3
Part B
How many pints of lemonade did Nora make?
Enter your answer in the box.
pints
Answer:
I also belive for Part A the second one is the answer because it equals 120 Part B is 120 pints! Good Luck! And I hope this Helps!
Answer:
B
Step-by-step explanation:
Which equation represents the black line?
Which equation represents the red line?
Explain a mathematical way to find the intersection of the lines without actually graphing the lines.
Answer:
Black Line y = 3 + 2x , y = 2x +3
Red Line y = -2 - .5x. y = -.5x -2
vice versa
Step-by-step explanation:
For the black line, the lines intersects y at coordinate (0,3) and that would be b. To find the slope, use the equation rise / run. It rises 4 and runs 2. Putting this into an equation 4/2, it would be 2 as the constant. In other words, it would be 2x. Therefore, the function for the black line is y = 3 + 2x
For the red line, using the same explanation from the black line, the line intersects y at -2, and the slope would be -.5x, since it runs downwards 2 and runs 4, and since it runs downwards, a negative sign would be necessary in front of the slope.
Oil is leaking from an oil tanker, and an expanding circle of oil is spreading on the ocean. The radius, r, of
modeled by the function r(s)=315, where sis time in seconds.
The area of the spill when s=5 seconds is
1 square inches.
Reset
Reset
Next
Next
Answer:
[tex]45\pi$ square inches[/tex]
Step-by-step explanation:
The radius, r of the expanding circle of oil is modeled by the function:
[tex]r=3\sqrt{s}[/tex] , where s is time in seconds.
When s=5
Radius [tex]r(5)=3\sqrt{5}$ inches[/tex]
Area of a circle [tex]=\pi r^2[/tex]
Therefore, the area of the oil spill when s=5 seconds
[tex]=\pi* (3\sqrt{5})^2\\=45\pi$ square inches[/tex]
The area of the spill when s=5 seconds is 45pi square inches.
A bag of colored marbles contains 16 blue marbles, 12 red marbles, and 8 yellow marbles.
What is the theoretical probability of drawing a red marble?
Enter your answer as a reduced fraction, like this: 3/14
Answer:
The theoretical probability of drawing a red marble is 1/3.
Step-by-step explanation:
1. Add all of the marbles together to get total marbles. 16 + 12 + 8 = 36.
2. Create a fraction, with numerator being favorable outcomes and denominator being total possible outcomes. In this case it would be 12/36.
3. Since it is asking for a reduced fraction, simplify 12/36 to 1/3.
The number of new contributors to a public radio station's annual fund drive over the last ten years is 63, 58, 61, 72, 98, 103, 121, 147, 163, 198 Using Microsoft Excel, develop a linear regression model that predicts the number of new contributors. Explain the slope of this model. Based on this model, how many new contributors would you predict for the following year?
Answer:
The number of potential members predicted in next year's estimate becomes 193. The further explanation is given below.
Step-by-step explanation:
The slope of the model,
m = 15.345
c = 24
After comparing with the equation,
⇒ [tex]y=mx+c[/tex]
we get,
⇒ [tex]=15.345x + 24[/tex]
The slope seems to be a positive value which also means that another always improves this as component decreases. Which ensures that perhaps the number of contributors rising as time went by.
So that the above is the right answer.
which expresion has a valume of 7/12
Answer:
1/1 x 7/1 x 1/12
Is there any options?
Step-by-step explanation:
Answer:6/8 adding 1/4
Step-by-step explanation: Because im right probably
The altitude of an airplane is decreasing at a rate of 44 feet per second. What is the change in altitude of the airplane over a period of 34 seconds?
Answer:
1320 feet
Step-by-step explanation:
All we have to do is multiply the rate of change of altitude by the time it took the altitude to change.
The altitude of an airplane is decreasing at a rate of 44 feet per second. After 30 seconds, the change is altitude is:
44 * 30 = 1320 feet
The altitude of the airplane has changed by 1320 feet.
Solve SA = πrs + π r2 for s A) -r B) SA + r C) SA π2r3 D) SA - πr2 πr
Answer:
(SA - π r^2)/πr = s
Step-by-step explanation:
SA = πrs + π r^2
Subtract π r^2 from each side
SA - π r^2 = πrs + π r^2-π r^2
SA - π r^2 = πrs
Divide each side by πr
(SA - π r^2)/πr = πrs/πr
(SA - π r^2)/πr = s
Answer:
D
Step-by-step explanation:
SA = πrs + πr²
SA - πr² = πrs
s = (SA - πr²)/πr
A bag contains 3 red marbles and 6 blue marbles. A second bag contains 6 green marbles and 4 yellow marbles. You choose a marble from bag A and then a marble from bag B, what would be the probability of selecting one blue marble and one yellow marble?
Answer:
4/15
Step-by-step explanation:
Bag A
3 red marbles and 6 blue marbles. = 9 marbles
P(blue) = blue/total =6/9 = 2/3
Bag B
6 green marbles and 4 yellow marbles. = 10 marbles
P(yellow) = yellow/total=4/10 = 2/5
P(blue,yellow) = 2/3 * 2/5 = 4/15
PLEASE HELP!!! WILL MARK AS BRAINLIEST!!!
A colony of 300 bacteria doubles in size every 22 minutes can be represented by the exponential function y=300(2)x. If you want to know how many bacteria will be present about 66 minutes, what should you plug in for x?
Answer:
[tex] y = 300 (2)^x[/tex]
Where x represent the number of period of times of 22 minutes. If we want to know the value of the population after 66 minutes we need to find the value of x on this way:
[tex] x = 66 minutes *\frac{1period}{22 minutes}= 3[/tex]
So then we need to replace the value of x =3 and we got:
[tex] y= 300 (2)^3 = 2400[/tex]
Step-by-step explanation:
For this case we have the following function:
[tex] y = 300 (2)^x[/tex]
Where x represent the number of period of times of 22 minutes. If we want to know the value of the population after 66 minutes we need to find the value of x on this way:
[tex] x = 66 minutes *\frac{1period}{22 minutes}= 3[/tex]
So then we need to replace the value of x =3 and we got:
[tex] y= 300 (2)^3 = 2400[/tex]
A 5000-seat theater has tickets for sale at $28 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $153 comma 200?
Answer:
Let's denote:
x: number of ticket 28$
y: number of ticket 40$
Then, we have:
x + y =5000
28x + 40y = 153200
=> 28(5000 - y) + 40y = 153200
=> 12y = 153200 - 140000
=> 12y =13200
=> y = 1100 (ticket 40$)
=> x = 5000 - 1100 = 3900 (ticket 28$)
Which phrase represents this expression?
(47−17)×4
A. 4 times the difference of 47 and 17
B. 4 times the difference of 17 and 47
C. the difference of the product of 4 times 17 and 47
D. the difference of 47 and the product of 4 times 17
Answer:
I think its A
Step-by-step explanation:
What’s the correct answer for this?
Answer:
c
Step-by-step explanation:
The complement of 20°17' is
Answer:69°43'
Step-by-step explanation:
Complementary angles add up to 90
Let them complement be y
y+20°17`=90°
Collect like terms
y=90-20°17' 20°17'=1217/60
y=90-1217/60
y=(60x90 -1 x 1217)/60
y=(5400-1217)/60
y=4183/60
y=69°43'
Consider the triangle.
Which statement is true about the lengths of the sides?
45°
Each side has a different length.
Two sides have the same length, which is less than the
length of the third side.
D. The three sides have the same length.
D. The sum of the lengths of two sides is equal to the
length of the third side.
45°
Answer:
Assuming this is a 45 - 45 - 90 right triangle, The answer would be B) Two sides have the same length, which is less than the length of the third side
Hence statements stated true false along with reason
What is triangle?A triangle is a three-sided polygon with three edges and three vertices in geometry. The sum of a triangle's interior angles equals 180 degrees is the most significant feature of a triangle.
Triangle of Isosceles: Triangle with Obtuse Angle
Triangle Inequality in the Scalene Triangle
Triangle Surface Area: Triangle with Sharp Angle
Triangle with Right Angles: Triangle Form of Pascal...
How to solve?Given a triangle and statements related to it let's check
Each side has a different length.
-This statement can't always be true as in equilateral triangle all sides are equal
Two sides have the same length, which is less than the
length of the third side.
-this statement is correct but when it is a right angles triangle where other two anges are 45degrees each then this can't be true.
The three sides have the same length.
-this statement is true for equilateral triangle
D. The sum of the lengths of two sides is equal to the
length of the third side.-
-This statement is true when we talk of only right angled triangle
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In the right triangle shown DF=EF=3. How long is DE?
Answer:
4.24
Step-by-step explanation:
To solve this, use the Pythagorean therom. A^2 + b^2 = C^2
in this case a = 3 and b = 3
so 9 + 9 = sqrt 18
4.24
Answer:3√(2)
Step-by-step explanation:
DF=3
EF=3
DE=√(3^2 + 3^2)
DE=√(3x3 + 3x3)
DE=√(9+9)
DE=√(18)
DE=√(2 x 9)
DE=√(2) x √(9)
DE=√(2) x 3
DE=3√(2)
Ollivanders stuffed bear shop has 456 bears in stock exactly half of them Are made from wool how many wool does Mr.oillvander have in stock
Answer:
228 of them are made from wool, but there is no enough information to determine how many would he has in stock.
Step-by-step explanation:
Mr Ollivander's stuffed bear shop has 456 bears in stock, and exactly half of them are made from wool, this means that 1/2 of 456 are made from wool
1/2 of 456 = 1/2 × 456 = 456/2 = 228.
That is 228 of them are made from wool.
However, nothing tells us that this is all he has in his stock. There is no information available to determine how many would he has in stock.
How many solutions does the equation -2a + 2a + 7 = 8 have
Step-by-step explanation:
-2a + 2a + 7 = 8
Solving like terms
7 = 8
= 8 - 7 = 1
Has one solution
Rewa Delta Union RugbyCEOhas become concerned about the slow pace of the rugby gamesplayed inthe current union rugby, fearing that it will lower the spectator attendance. The CEOmeets with the union rugbymanagers and refereesanddiscusses guidelines for speeding upand makingthe gamesmore interesting and lively. Before the meeting, the mean duration of the15-sided rugbygame timewas 3 hours, 5 minutes, that is, 185 minutes.This includes all the breaks and injury times during the game. A random sample of 36 of the 15-sided rugbygames after themeeting showed a mean of 179 minutes with a standard deviation of 12 minutes.Testing at the 1% significance level, can you concludethat the mean duration of 15-sided union rugbygames has decreased after the meeting?
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached image below to see the step by step explanation to the question above.
