Answers
[tex] =( \frac{1}{2} \times 10.4 \times 16.9) {ft}^{2} \\ = (5.2 \times 16.9) {ft}^{2} \\ = 87.88 {ft}^{2} [/tex]
Answer:
The area of the triangle is 87.88 square feet.
Hope you could get an idea from here.
Doubt clarification - use comment section.
Related Questions
There are 10 pens in a box. There are x red pens in the box. All the other pens are blue. Jack takes at random two pens from the box. Find an expression, in terms of x, for the probability that Jack takes one pen of each colour. Give your answer in its simplest form.
Answers
The probability that one of each color is selected is [tex]\frac{10x - x^2}{45}[/tex]
ProbabilitiesThe probability of an event is the chances of the said event
The given parameters are:
Total = 10Red = xBlue = 10 - xCalculating the required probabilityThe probability that one of each color is selected is calculated as follows:
[tex]P = P(Blue) \times P(Red) + P(Red) \times P(Blue)[/tex]
So, we have:
[tex]P = \frac{10 - x}{10} \times \frac{x}{9} + \frac{x}{10} \times \frac{10 - x}{9}[/tex]
This gives
[tex]P = \frac{x(10 - x)}{90} +\frac{x(10 - x)}{90}[/tex]
Take LCM
[tex]P = \frac{2x(10 - x)}{90}[/tex]
Simplify the above expression
[tex]P = \frac{x(10 - x)}{45}[/tex]
Expand
[tex]P = \frac{10x - x^2}{45}[/tex]
Hence, the probability that one of each color is selected is [tex]P = \frac{10x - x^2}{45}[/tex]
Read more about probabilities at:
https://brainly.com/question/7965468
What us y+3=-2 (6x-1)
Answers
Answer:
y=-12x-1
Step-by-step explanation:
(Simplify and make y the subject)
A car moving at a constant speed passed a timing device at t = 0. After 8 seconds, the car has
traveled 648 ft. Write a linear function rule to model the distance in feet d the car has traveled any
number of seconds t after passing the timing device.
The linear function rule is d =
Answers
Answer:answer d
Step-by-step explanation:
i just did the test
what is this answer?
Answers
Answer:
The answer is 16.
Sorry if it's incorrect.
Step-by-step explanation:
Explanation:
24 = 2 × 2 × 2 × 2 = 16.
Helppp pleaseeee !!!
Answers
Answer:
Solution is (x+7)(x+8)
Step-by-step explanation:
1) Find what 2 numbers multiply to 56 (c value) and add to 15 (b value)
2) (x+7)(x+8)
I personally was taught this method and am unfamiliar with with the method shown on the worksheet. If my way is unclear, please feel free to ask any more questions you have.
What Is The exact volume of the cone with a height of 4 and a radius of 7
Answers
Answer:
196 / 3 [tex]\pi[/tex]
Step-by-step explanation:
pi x radius x radius x height / 3
= pi x 49 x 4 / 3
= pi x 196 / 3
Find the slope of the line passing through the points (-6, 1) and (-7,5).
Answers
Answer:
y = -4x – 23
Hope this helps :)
= 5-1/-7-(-6)
= 4/-1
= -4
Meredith is 3 times as old as Adam. Six years from now, she will be twice as old as Adam will be then. How old is Adam now
Answers
Answer:
A=6
Step-by-step explanation:
M=3A
M+6=2(A+6) M+6=2A+12 M=2A+6
System of equations:
M=3A Subtract
M=2A+6
0=A-6
A=6
8. What is the slope of the line that goes through (8,8) and (4, 6)?
-1/2
1/2
-2
2
Answers
Answer:
Step-by-step explanation:
Slope is the change in y over the change in x.
m = (8 - 6) / (8 - 4) = 2/4 = 1/2
Answer:
1/2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-8)/(4-8)
m=-2/-4
m=1/2
Which of the following questions can use science as a method of inquiry?
A. How many of hours of homework should be assigned each night?
B. At what age should a person be able to drive?
C. Why does a cork float in water?
D. Should pitbulls be allowed to live in cities?
Answers
Answer:
c
Step-by-step explanation:
Santa needs 600 toys. 175 toys have already
been made. 5 elves made the rest of the toys.
How many toys did each elf make, assuming
that they each made they amount?
Answers
Answer:
Each elf made 85 toys
Step-by-step explanation:
First we must find out how many more toys need to be made. To do this we just have to subtract 175 from 600. 600 - 175 = 425.
Next we have to divide 425 toys by the 5 elves. 425 divided by 5 is 85.
Write the equation of the line, in slope-intercept form, with the
following information:
slope:
3
point: (6,-1)
Answers
Answer:
y=3x-19
Step-by-step explanation:
y-y1=m(x-x1)
y-(-1)=3(x-6)
y+1=3(x-6)
y=3x-18-1
y=3x-19
PLS HELP I WILL GIVE BRAINLYEST
Use the number line to find the distance between -10 and -4.
Enter your answer in the box.
units
Answers
Answer:
6
Step-by-step explanation:
What is the completely factored form of f(x)=x^3+5x^2+4x-6
Answers
Answer:
(x+3)(x^2+2x-2)
Step-by-step explanation:
rewrote the expression
then factor out common numbers, variables, and exponents
There are 5 counselors for every 75 students enrolled in a camp. What is
the maximum number of students allowed if there are 12 counselors?
Answers
15= 1 counsellor for 15 students
so
15 x 12 = 180 students
move the numbers to the blanks to order them from least to greatest value.
0.1 -9/8 4 |-5/6| -0.78
Answers
Answer:
-9/8, -5/6 -0.78, 0.1, 4
Step-by-step explanation:
since they're negative, it makes them look bigger than others but they're not. I think I got it right. hope I could help!
which expression is equivalent to (-3) x + (-3) (-12)
Answers
Answer:
-3x - 15
or
-3(x + 5)
Step-by-step explanation:
-3x - 3 - 12
-3x - 15
-3(x + 5)
sorry if this doesn't help but i hope it does
Answer:
-3(x + 5)
Step-by-step explanation:
Find the value of the expression 8a +b, if a=3 and b= 1
a) 23 b) 29 c) 30 d) 25
Answers
8a + b
a=3
b=1
(8×3)+1
=24+1
=25
the answer is d)25
Amelie read 12 pages of her book each day for 4 days. Matthew read 12 pages of the same book each day for 8 days.
Answers
Answer:
if u are asking how many more pages Matthew read then it's 48 pages. If u are asking how many they read all together then it's 144 pages.
what is the scale factor of 3x + 2, 3y -1?
(will give brainliest)
Answers
21 Line is mapped onto line m by a dilation centered at the origin with a scale factor of 2. The equation of line is 3x − y = 4. Determine and state an.
Erica has $12 credit on her Cel-Tel phone card. It costs her $1 to make a phone call using her Cel-Tel card. Erica also has $15 credit on her MTT phone card. It costs her $2 to make a phone call using her MTT card. Which system of equations can be solved to find the number of calls, x, that Erica can make and have the same amount of money, y, on both phone cards?
yy==−2x+15−x+12
y = - 2 x + 15 y = - x + 12
yy==2x+15−x+15
y = 2 x + 15 y = - x + 15
yy==−2x−15−x−12
y = - 2 x - 15 y = - x - 12
yy==15x−212x−1
y = 15 x - 2 y = 12 x - 1
Answers
Answer: b
Step-by-step explanation:
plz I just wanna if my answers are true
Answers
Answer:
3^2
3^4
3^6
Step-by-step explanation:
9 is actually 3^2, so you have the first one wrong.
The second one is correct, but the third one is not
Since 9 is 3^2, you can write that as (3^2)^3, which is 3^6.
2. What are all possible names for line b?
Answers
Answer:
di ako sure pero ito :)
Step-by-step explanation:
A line segment has two endpoints. It contains these endpoints and all the points of the line between them. You can measure the length of a segment, but not of a line.
A segment is named by its two endpoints, for example, AB¯¯¯¯¯ .
(I need these answered asap and with work and explanation included)
Answers
Answer:
blue marbles - 2/9. red marbles - 3/9 = 1/3 clear marbles - 4/9. Davis got a 2/9 chance and Tessa got a 2/8 or 1/4 chance. I don't know about the last question. it might be 5/9 but I don't know sorry.
What is the equation of this line in slope-intercept form?
(-1,5) (1,-1)
Answers
Answer:
y=-3x+2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-5)/(1-(-1))
m=-6/(1+1)
m=-6/2
m=-3
y-y1=m(x-x1)
y-5=-3(x-(-1))
y-5=-3(x+1)
y=-3(x+1)+5
y=-3x-3+5
y=-3x+2
Saturn is about 1.427 x 10^12 miles from the sun. Light travels at approximately 3 x 10^8 miles/second. How long does it take for suns light to reach Saturn
Answers
Answer:
4,756.66 seconds or 1.321 hours
Here's how I got that:
- Simply use time formula and plug in what you know -
t = distance/speed
↓
1,427,000,000,000/300000000
↓
t = 4,756.66
~That's all folks~
-Siascon
The first step for deriving the quadratic formula from the quadratic equation, 0 = ax^2 + bx + c, is shown.
Step 1: –c = ax^2 + bx
Which best explains or justifies Step 1?
subtraction property of equality
completing the square
factoring out the constant
zero property of multiplication
Answers
Answer:
Subtraction property of equality
Step-by-step explanation:
You subtracted c from both sides of the equation to preserve equality
The step 1 is explained by subtraction property of equality.
The correct option is A.
The standard form of Quadratic Equation is
ax² + bx + c = 0
Also, we must remove c from the right side and move it to the left side in order to derive the quadratic formula from the quadratic equation.
And to do that, we must subtract c from both sides, which is
-c = ax² + bx
Then, we have used subtraction property here.
Learn more about Subtraction here:
https://brainly.com/question/10716627
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Hire Refrigeration company floated Rs. 3 Billion bond on July 1, 2016. Each bond having face value of Rs. 1,000. Maturity of bond is 5 years, while interest coupon rate is 12%. What will be the value of bond if market interest rate is 8% and 15% respectively. Also what will be the new value of bond after 2 years if the market interest rate remains constant.
Answers
1. The value of the bond with a market interest rate of 8% is $1,159.71.
2. The value of the bond with a market interest rate of 15% is $899.44.
3. The new value of the bond after 2 years with market interest rate of 8% is $1,103.08.
4. The new value of the bond after 2 years with market interest rate of 15% is $931.50.
Data and Calculations:
N (# of periods) = 5 years
I/Y (Interest per year) = (A) 8% or (B) 15%
PMT (Periodic Payment) = $120
FV (Future Value) = $1,000
Results
PV = $1,159.71 and $899.44 for (B)
Schedule at 8% interest rate
Period PV PMT Interest FV
1 $1,159.71 $120.00 $92.78 $1,132.49
2 $1,132.49 $120.00 $90.60 $1,103.08
3 $1,103.08 $120.00 $88.25 $1,071.33
4 $1,071.33 $120.00 $85.71 $1,037.04
5 $1,037.04 $120.00 $82.96 $1,000.00
Schedule at 15% interest rate
Period PV PMT Interest FV
1 $899.44 $120.00 $134.92 $914.35
2 $914.35 $120.00 $137.15 $931.50
3 $931.50 $120.00 $139.73 $951.23
4 $951.23 $120.00 $142.68 $973.91
5 $973.91 $120.00 $146.09 $1,000.00
Learn more about the value of bonds based on effective interest rate here: https://brainly.com/question/25524725 and https://brainly.com/question/23265123
You know the following information about triangle ABC and triangle DEF:
AB-DE and
What additional information is needed to prove that the triangles are congruent by SAS?
AB=DE
AC=DF
BC=EF
Answers
Answer:
(b) AC = DF
Step-by-step explanation:
In order to use SAS, you need to show congruence of the sides on either side of the angle. One of those sides is given as congruent: AB = DE. (This given rules out choice A, which is identical.)
The remaining needed side will have points A and D as one of the points defining the side. This rules out choice D.
The relation between other angles is irrelevant to SAS, so choice C is ruled out.
Choice B: AC = DF will supply the information necessary to show congruence by SAS.
I need help with my math homework from The Hung Vuong Learning Centre Incorporated, like immediately please!!! Here is an image for you to answer the questions will receive the Brainliest award if you answer the questions completely! Well anyways, good luck on answering the questions and I will check the answers are appropriate! :)
Answers
Answer:
Give me some hint please
Answer:
2. d) L = 10, W = 20
3. c) P = 100
Step-by-step explanation:
2. 2L + W = 40
W = 40 - 2L
A = L x W
= L (40 - 2L)
= 2L^2 + 40L
=-2 (L^2 - 20L)
= -2 (L^2 - 20^2 + 100 - 100)
= -2 (L^2 - 20L + 100) +200
= -2 (L - 10)^2 +200
L = 10
W = 40 - 2(10
=20
3. c. P = 2(L + W)
= 2(49 + 1)
= 100
a. P = 53
b. P = 32.5
d. P = 28