1 2 3 4 5 6 7 8 9 10 TIME REMAINING 57:18 Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right angle. The length of A D is 5 and the length of B D is 12. What is the length of Line segment B C, rounded to the nearest tenth? 13.0 units 28.8 units 31.2 units 33.8 units
Answers
Answer:
28.8 units
Step-by-step explanation:
In order to further explain the description of the right angled triangle ABC above, I have attached a hand drawn diagram for easier understanding.
The length of A D is 5 units
The length of B D is 12 units.
From the above triangle ABC, to solve for BC we have the following ratios.
BD : BC = AD : BD
Hence,
BD/ BC = AD/BD
= 12/BC = 5/12
Cross Multiply
12× 12 = BC × 5
BC = 12 × 12/ 5
BC = 144/5
BC = 28.8 units
Therefore, the length of Line segment B C, rounded to the nearest tenth is 28.8 units
Answer:
c.31.2
Step-by-step explanation:
Related Questions
John has 9 boxes of apples. Each box holds 16 apples. If 7 boxes are full, and 2 of the boxes are half full, how many apples does john have?
Answers
Answer:
128 Apples
Step-by-step explanation:
Answer:
128 apples
Elaborated:
Your first multiple 16 and 7 which is 112. Your than multiply 2 and 8 since the remaining boxes are half full which is 16. 112+16 is 128. Hope this helps!
PLSSSSS HELLLLLLP!!!!!
Answers
Answer:
[tex]\frac{3n^2-7n+15}{(n+3)(n-4)}[/tex] will be the answer.
Step-by-step explanation:
The given expression is,
[tex]\frac{3n}{(n+3)}+\frac{5}{(n-4)}[/tex]
By solving this expression,
[tex]\frac{3n}{(n+3)}+\frac{5}{(n-4)}[/tex]
= [tex]\frac{3n(n-4)}{(n+3)(n-4)}+\frac{5(n+3)}{(n+3)(n-4)}[/tex]
= [tex]\frac{3n(n-4)+5(n+3)}{(n+3)(n-4)}[/tex]
= [tex]\frac{3n^2-12n+5n+15}{(n+3)(n-4)}[/tex]
= [tex]\frac{3n^2-7n+15}{(n+3)(n-4)}[/tex]
Therefore, fraction given in option (2) will be the answer.
Please help...........
Answers
Answer:
315.1° (1 d.p.)
Step-by-step explanation:
Please see the attached picture for the full solution.
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answers
Answer:
B.
Step-by-step explanation:
First, it must be in descending order (i.e. largest to smallest). Thus, we can eliminate C and D since they go from smallest to largest.
Next, we need to find the degree of A and B. The degree of a polynomial is simply the highest exponent value of all the variables in a single term. If this is confusing, let's use A as an example.
In A, we have four terms: x^3y^3, xy^2, 5xy, and -4. This is a sixth degree polynomial. This is because for the first and largest term, x^3 and y^3, the total value of their exponents is 6. Because of this, A is not our answer.
For B, the biggest term is xy^2, and the degree is 1+2=3. Therefore, our answer is B since it is a third degree polynomial and it's in descending order.
Note that C is also a third-degree polynomial, but it's not written in descending order.
99 students choose to attend one of three after school activities: football, tennis or running.
There are 61 boys.
19 students choose football, of which 5 are girls.
31 students choose tennis.
28 girls choose running.
A student is selected at random.
What is the probability this student chose running?
Give your answer in its simplest form.
Answers
Answer: [tex]\dfrac{49}{99}[/tex]
Step-by-step explanation:
There are 61 boys --> 38 girls
A) 19 chose football: 5 are girls --> 14 are boys
B) 38 girls: 28 chose running, 5 chose football --> 5 girls chose tennis
C) 31 students chose tennis: 5 are girls --> 26 are boys.
D) 61 boys: 14 chose football, 26 chose tennis --> 21 boys chose running.
[tex]\large\boxed{\begin{array}{l|cc||c}&\underline{Boys}&\underline{Girls}&\underline{Total}\\Football&14&5&19\\Tennis&26&5&31\\\underline{Running}&\underline{\quad 21\quad}&\underline{\quad 28\quad}&\underline{\quad 29\quad}\\Total&61&38&99\end{array}}[/tex]
Total running = 21 boys + 28 girls = 49
Total students = 99
[tex]\dfrac{\text{Total running}}{\text{Total students}}=\large\boxed{\dfrac{49}{99}}[/tex]
Eric completed 1/3 of his homework before dinner and then 2/7 after dinner. How much homework did Eric complete?
Answers
To add fractions, you first have to set the denominators equal to each other. To do this, you find the LCD (least common denominator) of the two fractions until you find a shared number.
To do this, list out the multiples of each number (3x1=3,3x2=6,3x3=9, and so on. Do this also with 7) The LCD for 3 and 7 is 21. 3x7=21, and 7x3=21. You want to set each fraction’s denominator equal to 21.
You want to multiply each side of 1/3 by 7. 1/3 would become 7/21. You’d do this because 3x7=21, and what you multiply the bottom by you need to multiply the top by. 7x3=21 so you multiply both sides by 3 to get 6/21.
Now you have 7/21 and 6/21 and can add them. Now that they are equal, you can ignore the denominator and just add the numerators. 7+6=13 so Eric completed 13/21 of his homework.
Hope this helps!
The homework completed by Eric will be equal to 13/21.
What is the fraction?
The fraction is defined as the division of the whole part into an equal number of parts.
To add fractions, you first have to set the denominators equal to each other. To do this, you find the LCD (least common denominator) of the two fractions until you find a shared number.
To do this, list out the multiples of each number (3x1=3,3x2=6,3x3=9, and so on. Do this also with 7) The LCD for 3 and 7 is 21. 3x7=21, and 7x3=21. You want to set each fraction’s denominator equal to 21.
You want to multiply each side of 1/3 by 7. 1/3 would become 7/21. You’d do this because 3x7=21, and if you multiply the bottom by you need to multiply the top by. 7x3=21 so you multiply both sides by 3 to get 6/21.
Now you have 7/21 and 6/21 and can add them. Now that they are equal, you can ignore the denominator and just add the numerators. 7+6=13 so Eric completed 13/21 of his homework.
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What is the slope of the line?
O slope = 1/3
O slope = -3
O slope = 3
Answers
Answer:
Slope = 3
Step-by-step explanation:
Slope is rise (vertical distance) over run (horizontal distance).
Our rise is equal to 3
Our run is equal to 1
So, slope = 3/1 = 3
what is angle and how would you know
Answers
Answer:
Angle:
When two lines/rays intersect at a point, they form an angle.
=> Angles may be in radians and degrees.
See the attached file in which two rays intersect to form an angle.
Answer:
[tex]\boxed{\mathrm{view \: explanation \: and \: attachment}}[/tex]
Step-by-step explanation:
Two lines (arms/rays) intersect at one point (vertex) creating an angle.
CAN ANYONE HELP ME! WILL GIVE OUT BRAINLIEST!!
Answers
Answer:
C
Step-by-step explanation:
4:10 ≠ 6:8
Can someone help me ok this question
Answers
Answer:
the answer is 2/5 or 0.4
.
pleaseeeeee hellppp me pleadeee
Answers
Answer:
Mode: 100
Mean: 46.94444...
Median: 29.5
Range: 150
Step-by-step explanation:
Mode: most occurring number: 100
Mean: Plus everything and divide by how many number there is: 845/18=46.94....
Median: The middle number, but you need to line it from smallest to greatest.
0, 0, 0, 1, 3, 4, 5, 12, 29, 30, 40, 50, 100, 100, 100, 100, 121, 150
29 and 30 is in the middle. In this case, you plus 29+30 and divide by 2. =29.5
Range: Largest number-Smallest number. You also need to line it from smallest to largest: 150-0=150
Hope this helps, BRAINLIEST would really help me:)
Which of the following shows the division problem below in synthetic division form?
Answers
Answer: D
Step-by-step explanation:
In synthetic division, if the divisor is an expression like x+3, you should always switch it to if x+3 were equal to 0.
[tex]x+3=0\\x=-3[/tex]
So, you should use -3. The only options with -3 are B and D.
The coefficients for the dividend are 7, -2, and 4, so D is the correct answer.
Hope this helps! If you still have questions, please ask.
the point slope form of the equation of the line that passes through (-5,1 ) and (10,-7) is y +7= - 1/2 (x-10) what is the standard form of the equation for this line ?
Answers
Answer:
The standard form of the equation is y = -x/2 -2
Step-by-step explanation:
The standard form of equation of this line is expressing the line in the form;
y = mx + c
So let’s make a rearrangement to what we have at hand;
y + 7 = -1/2(x-10)
2(y + 7) = -1(x-10)
2y + 14 = -x + 10
2y = -x + 10 -14
2y = -x -4
divide through by 2
y = -x/2 -2
Q7-8 PLEASE HELP ME
Answers
Answer:
(-4,-7)
Step-by-step explanation:
Use the online graphing calculator called Desmos. That's what I did. Just input the two equations and it'll show you the completed graph. I hope this help you:)
Multiplying a trinomial by a trinomial follows the same steps as multiplying a binomial by a trinomial. Determine the degree and maximum possible number of terms for the product of these trinomials: (x2 + x + 2)(x2 – 2x + 3). Explain how you arrived at your answer.
Answers
Answer: Degree of polynomial (highest degree) =4
Maximum possible terms =9
Number of terms in the product = 5
Step-by-step explanation:
A trinomial is a polynomial with 3 terms.
The given product of trinomial: [tex](x^2 + x + 2)(x^2 - 2x + 3)[/tex]
By using distributive property: a(b+c+d)= ab+ac+ad
[tex](x^2 + x + 2)(x^2 - 2x + 3)=(x^2 + x + 2) x^2+(x^2 + x + 2) (-2x)+(x^2 + x + 2)(3)\\\\=x^2(x^2)+x(x^2)+2(x^2)+x^2 (-2x)+x (-2x)+2 (-2x)+x^2 (3)+x (3)+2 (3)\\\\\\=x^4+x^3+2x^2-2x^3-2x^2-4x+3x^2+3x+6[/tex]
Maximum possible terms =9
Combine like terms
[tex]x^4+x^3-2x^3+3x^2-4x+3x+6\\\\=x^4-x^3+3x^2-x+6[/tex]
Hence, [tex]\left(x^2\:+\:x\:+\:2\right)\left(x^2\:-\:2x\:+\:3\right)=x^4-x^3+3x^2-x+6[/tex]
Degree of polynomial (highest degree) =4
Number of terms = 5
Answer:
Sample Response: To determine the degree of the product of the given trinomials, you would multiply the term with the highest degree of each trinomial together. Both trinomials are degree 2, and when you multiply x2 by x2, you add the exponents to get x4. Thus, the degree of the product is 4. If the product is degree 4, and there is only one variable, the maximum number of terms is 5. There can be an x4 term, an x3 term, an x2 term, an x term, and a constant term.
The degree of the product of the trinomials is 4 because the degree of each trinomial is 2.
The maximum number of terms in the product of the trinomials is 5.
There can be an x4 term, an x3 term, an x2 term, an x term, and a constant term.
Explanation:
This is the response on Edge 2020-21. Hope this helps, have a great day!
FIRST CORRECT ANSWER GETS BRAINLIEST 50 PTS [tex](2x-5)^{2} +3(2x-5)-18[/tex]
Answers
Answer:
4x² -14x - 8
Step-by-step explanation:
(2x - 5)² + 3(2x-5) - 18
Expand brackets.
(2x-5)(2x-5) + 6x -15 - 18
2x(2x-5)-5(2x-5) + 6x - 33
4x² - 10x - 10x + 25 + 6x - 33
Combine like terms.
4x² -14x - 8
Answer:
4x^2 -14x -8
Step-by-step explanation:
( 2x-5)^2 + 3( 2x-5) -18
Foil
(2x-5)(2x-5) = 4x^2 -10x-10x +25 = 4x^2 -20x+25
Distribute
3( 2x-5) = 6x -15
( 2x-5)^2 + 3( 2x-5) -18
Replace with the foil and distribute
4x^2 -20x+25 +6x -15 - 18
Combine like terms
4x^2 -14x -8
Which set of events is an example of dependent events?
A. Rolling an odd number, and then rolling an even number.
B. You choose a number from 1 to 50 from a hat, replace it, and then draw a second number.
C. You choose a marble from a bag, don't replace it, and then choose another marble.
D. You roll a 4, and then spin yellow on a spinner.
Answers
C.
Because the marble is not replaced and that affects the next event where another marble is chosen.
Dependent events:
It is the event where one event outcome is dependent on the other event outcome.
Independent events:
It is the event where one event outcome is not dependent on the other event outcome.
You choose a marble from a bag, don't replace it, and then choose another marble.
This is a dependent event.
Since we are not replacing the first marble outcome that is chosen, the next marble outcome is dependent on the first outcome.
Option C is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Dependent events:
It is the event where one event outcome is dependent on the other event outcome.
Independent events:
It is the event where one event outcome is not dependent on the other event outcome.
Now,
A. Rolling an odd number, and then rolling an even number.
This is an independent event.
B. You choose a number from 1 to 50 from a hat, replace it, and then draw a second number.
This is an independent event.
C. You choose a marble from a bag, don't replace it, and then choose another marble.
This is a dependent event.
Since we are not replacing the first marble outcome that is chosen, the next marble outcome is dependent on the first outcome.
D. You roll a 4 and then spin yellow on a spinner.
This is an independent event.
Thus,
You choose a marble from a bag, don't replace it, and then choose another marble.
This is a dependent event.
Since we are not replacing the first marble outcome that is chosen, the next marble outcome is dependent on the first outcome.
Option C is the correct answer.
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PLEASE HELP ASAP IM REALLY TRING TO FINISH A stick has a length of $5$ units. The stick is then broken at two points, chosen at random. What is the probability that all three resulting pieces are longer than $1$ unit?
Answers
Answer:
0.16
Step-by-step explanation:
Length = 5 unitsNumber of broken sticks= 3Equal lengths = 5 units/3See the picture attached for reference.
As you see the best points are the green areas which covers 2 out of 5 zones.
Since it is same for both broken points, the probability of this is:
2/5*2/5 = 4/ 25 = 0.16Answer is 0.16
__♥__♥_____♥__♥___ Put This
_♥_____♥_♥_____♥__ Heart
_♥______♥______♥__ On Your
__♥_____/______♥__ Page If
___♥____\_____♥___ You Had
____♥___/___♥_____ Your Heart
______♥_\_♥_______ Broken
________♥_________…………….
6) Which expressions are equivalent to 12x + 36y? Choose ALL that apply.
12(x + 3y)
9(3x + 4y)
6(2x + 6y)
4(3x + 9y)
2(6x + 24y)
3(4x + 12y)
Answers
the 1st one
third one
fourth one
the last one
each of the equation has one of the common factor out
12(x + 3y), 6(2x + 6y), 4(3x + 9y) and 3(4x + 12y) are the equivalent expressions of 12x + 36y.
What is Expression?An expression is combination of variables, numbers and operators.
Equivalent expressions are expressions that work the same even though they look different.
The given expression is 12x + 36y.
Twelve times of x plus thirty six times of y.
When we solve each expression we have to get 12x + 36y.
1. 12(x + 3y)- Equivalent expression
By distributive property
=12x+36y
2. 9(3x + 4y)- Not Equivalent expression.
27x+36y
3. 6(2x + 6y)- Equivalent expression
12x+36y
4. 4(3x + 9y)-Equivalent expression
5. 2(6x + 24y)- Not Equivalent expression.
12x+48y
6. 3(4x + 12y)-Equivalent expression
12x+36y
Hence, 12(x + 3y), 6(2x + 6y), 4(3x + 9y) and 3(4x + 12y) are the equivalent expressions of 12x + 36y.
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What is the vertex of y=-3x^2+6x+15? Help is much appreciated.
Answers
Answer:
(1, 18)
Step-by-step explanation:
Rewrite the equation in vertex form by completing the square for -3x^2 + 6x + 15. This = -3(x - 1)^2 + 18.
Set y equal to the new right side.
y = -3(x - 1)
Use the vertex form, y = a(x - h)^2 + k, to determine the values of a, h, and k.
a = -3
h = 1
k = 18
Vertex = (h, k) / (1, 18)
A man invested $800 at a 5.5% annual interest rate. How long will it take for his
money to earn $132 in interest?
Answers
Answer:
3 years
Step-by-step explanation:
I assume it's simple interest.
I = Prt
132 = 800 * 0.055 * t
t = 132/(800 * 0.055)
t = 132/44
t = 3
Answer: 3 years
BRAINLIEST! ASAP! A boat travelling at top speed upstream moves at 15km/hr. When it travels downstream, again at top speed< it moves at 25km/hr. What is the boat's top speed in still water?
Answers
Answer:
20 km/hr
Step-by-step explanation:
The boat's still-water speed is the average of its speeds against and with the current:
(15 +25)/2 = 20 . . . km/hr
__
If you want to write equations, you can let b and c represent the speeds of the boat and current in km/hr.
b - c = 15 . . . . upstream speed
b + c = 25 . . . . downstream speed
Add these two equations, and you get ...
(b -c) +(b +c) = (15) +(25)
2b = 40
b = 20 . . . . divide by 2
The speed of the boat in still water is 20 km/hr.
Answer:
20 km/hr
Step-by-step explanation:
To solve this, you have to find the average speed it is going. To find this, you just add up all of the speeds mentioned and divide it by the number of speeds you added.
15 +25=40
40/2=20
20km/hr!!!
Good luck on what you are doing I hope you do well! Brainliest would be great :)
Please answer this question now
Answers
Answer:
[tex] r = 17.5 [/tex]
Step-by-step explanation:
Given ∆TRS,
Where,
m < R = 105°
TR = s = 15
RS = t = 6
ST = r = ?
Find r using the Law of Cosines.
[tex] r^2 = s^2 + t^2 - 2*s*t*cos(R) [/tex]
Plug in the values stated above into the formula
[tex] r^2 = 15^2 + 6^2 - 2*15*6*cos(105) [/tex]
[tex] r^2 = 225 + 36 - 180*(-0.2588)[/tex]
[tex] r^2 = 261 + 46.584 [/tex]
[tex] r^2 = 307.584 [/tex]
[tex] r = \sqrt{307.584} [/tex]
[tex] r = 17.5 [/tex] (to the nearest tenth)
If two digit number, the digit at unit place is
2 more the digit at tens place. If three times
the sum of digits is added to the number, the
number will be reversed. Find the number.
Answers
Answer:
24
Step-by-step explanation:
let the 2 digit number be ab then digit in unit place is 2 more than ten place
2 digit number is a a + 2 where b = a + 2.
Thus sum of digits = a + a + 2 = 2a + 2, then
ab + 3(2a + 2) = ba ← using place value of digits
10a + b + 6a + 6 = 10b + a, that is
16a + 6 + b = 10b + a ( subtract 10b + a from both sides
15a - 9b + 6 = 0 ← substitute b = a + 2
15a - 9(a + 2) + 6 = 0
15a - 9a - 18 + 6 = 0
6a - 12 = 0 ( add 12 to both sides )
6a = 12 ( divide both sides by 6 )
a = 2
Thus the number is 24
John lent 2,550 to Mohan at 7.5 per cent
per annum. If Mohan discharges the debt after
8 months by giving an old black and white
television and 1,422.50. Find the price of
the television.
Answers
Answer: $1,077.50 or $1,078.06 (see below)
Step-by-step explanation:
Since the interest is applied after 1 year and the debt was repaid in 8 months, no interest was accrued on the $2,550 loan.
Thus, the price of the tv is: $2,550 - $1,422.50 = $1,077.50
Note: If interest is charged for the 8 months (3/4 of a year), then the interest added to the loan amount is: 0.75(3/4) = $0.56
⇒ the the price of the tv is: $1,077.50 + $0.56 = $1,078.06
What is the height of the prism if there is 30 square centimeters and the volume is 90 cubic centimeters
Answers
The square centimeters show that the length and width multiplied resulted in the 30. (Centimeter times centimeter = square centimeter.) so you divide the 90 by 30 and the answer is 3.
Area=lw
Volume=lwh
Area given = 30
Volume given = 90
90=30h
H=3
Answer:
60
Step-by-step explanation:
What is the value of f(-1) ?
Answers
Answer:
f(-1) = 12
Step-by-step explanation:
Using the graph for f(x) let x=-1
Find the y value when x= -1
f(-1) = 12
HELPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
1) A'(8, -10)
B'(10, -8)
C'(2, -4)
2) A''(8, -4)
B''(10, -6)
C''(10, -10)
Step-by-step explanation:
1) For reflection across the line y = -1, given that the lowest point is of ABC which is point C with coordinates (2, 2), we have;
The vertical distance from the point C to the line y = -1 is 3 units down, therefore, the coordinate of the reflection of C will be 3 units below the line y = -1 at C'(2, -4)
The coordinates of the point A(8, 8) will be A'(8, -10)
The coordinate of the point B(10, 6) will be B'(10, -8)
2) Given that we have A'(8, -10), B'(10, -8), and C'(2, -4), we have reflection over y = -7, we have;
The coordinates of the point A'(8, -10) will be A''(8, -4)
The coordinate of the point B'(10, -8) will be B''(10, -6)
The coordinate of the point C'(2, -4)will be C''(10, -10)
Which gives, a total translation of -12 units down as follows;
A''(8, -4) - A(8, 8) = (0, -12)
B(10, 6) - B''(10, -6) = (0, -12)
C(2, 2) - C''(10, -10) = (0, -12).
help me out??? first pic is the graph second is the answer choices
Answers
Answer: Choice D. 2x^2+2y^2 = 32
=================================================
Explanation:
The highest point of this circle is (0,4). The lowest point is (0,-4). The midpoint between the two mentioned points is (0,0). This is the center of the circle. You'll find that (0,0) is also the midpoint of the left-most and right-most points on this circle.
(h,k) = (0,0) is the center
r = 4 is the radius as it is the distance from the center to the edge of the circle
(x-h)^2 + (y-k)^2 = r^2
(x-0)^2 + (y-0)^2 = 4^2
x^2+y^2 = 16 is one way to express the equation of the circle
For some reason, your teacher has decided to multiply both sides by 2. I'm not exactly sure why. But doing so leads to...
x^2+y^2 = 16
2(x^2+y^2) = 2*16
2x^2+2y^2 = 32
This matches up with choice D.
Answer:
D.
Step-by-step explanation:
According to the graph, the circle has a center of (0, 0) and a radius of 4. That means that the equation of the circle will be (x - 0)^2 + (y + 0)^2 = 4^2.
x^2 + y^2 = 16
A. If you divided all terms by 20, the radius would become 16 / 20 = 8 / 10 = 0.8. That is not 1, so choice A is incorrect.
B. If you multiplied all terms by 6, the radius would be 16 * 6 = 96, which is not 144. Choice B is incorrect.
C. This choice is obviously incorrect, since it should be + y instead of - y.
D. This choice is correct. All terms are multiplied by 2.
Hope this helps!
A rectangular piece of wood is 12 centimeters longer than it is wide. A strip 1 centimeter wide is cut off all around. This decreases the area by 120 square centimeters. What were the original dimensions?
Answers
Answer:
Length 37 cm, width 25 cm.
Step-by-step explanation:
Let the original dimensions be length x and width x - 12 cms.
The new dimensions will be length (x - 2) and width (x - 12 - 2) = x-14 cm.
So , from the areas, we have:
x(x - 12) - (x - 2)(x - 14) = 120
x^2 - 12x - (x^2 - 16x + 28) = 120
-12x + 16x - 28 = 120
4x = 148
x = 37 cms
So the length was 37 cm and the width was 37-12 = 25 cm.