Given parameters:
Bearing of the tree from the house = 295°
Unknown:
Bearing of the house from the tree = ?
Solution:
This is whole circle bearing problem(wcb). There are different ways of representing directions from one place to another. In whole circle bearing, the value of the bearing varies from 0° to 360° in the clockwise direction.
To find the back bearing in this regard, simple deduct the forward bearing from 360°;
Backward bearing = 360° -295°
= 65°
The bearing from house to the tree is 65°
How do you write a half of ten thousandths of an inch?
Answer:
you just did so I don't know what you mean
Step-by-step explanation:
magic
In Springville, the probability that a football team goes to the city playoffs is
0.20. The probability that the team goes to the state playoffs, given that the
team goes to the city playoffs, is 0.35.
What is the probability that a randomly selected team from Springville goes to
the city and state playoffs?
O A. 0.15
B. 0.55
O C 0.07
D. 0.70
Using conditional probability, it is found that the probability that a randomly selected team from Springville goes to the city and state playoffs is given by:
C 0.07
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.In this problem, the events are:
Event A: City playoffs.Event B: State playoffs.The given probabilities are P(A) = 0.2, P(B|A) = 0.35, hence the probability that a randomly selected team from Springville goes to the city and state playoffs is given by:
[tex]P(A \cap B) = P(A)P(B|A) = 0.2(0.35) = 0.07[/tex]
Hence option C is correct.
More can be learned about conditional probability at https://brainly.com/question/14398287
Answer:0.09
Step-by-step explanation:
A student solved the equation sin2x/cos x = 2, 0 ≤ x ≤ pi, and got pi/2. What was the student's error?
Answer:
Step-by-step explanation:
Albeit cosine is undefined at , this discontinuity is evitable by canceling terms. The expression is equivalent to , which is continuous for all . According to this result, the student did not make a mistake. Answer was correct.
Answer:
See below
Step-by-step explanation:
Since [tex]cos(\frac{\pi}{2})=0[/tex], the denominator will be 0, and the result would be indeterminate.
Do not read on if you do not understand Calculus
However, notice that [tex]\lim_{x \to \frac{\pi}{2}} \frac{sin(2x)}{cos(x)}=2[/tex] by L'Hopital's Rule:
[tex]\lim_{x \to \frac{\pi}{2}} \frac{sin(2x)}{cos(x)}\\\\\frac{2cos(2x)}{-sin(x)}\\ \\\frac{2cos(2(\frac{\pi}{2}))}{-sin(\frac{\pi}{2} )}\\\\\frac{2cos(\pi)}{-1}\\ \\\frac{-2}{-1}\\ \\2[/tex]
Please Help! Locks in 15 minutes! I will Give brainlest and 5 star review!
You have a credit card that has a balance of $3850 at an APR of 13.99%. You plan to pay $300 each month in an effort to clear the debt quickly. How many months will it take you to pay off the balance?
Answer:
about 14 months
Step-by-step explanation:
Questions regarding loan payments, values, interest amounts, number of payments, and so on, are conveniently answered by the financial formulas available in many apps, calculators, and spreadsheets. Here, we want to solve for the number of payments.
__
The time-value-of-money app on a TI-84 calculator tells us the number of monthly payments is 13.98. It will take about 14 months to pay off the credit card balance.
__
Alternate solutions
You can also use a graphing calculator to find the time value needed in the amortization formula that corresponds to a monthly payment amount of $300 on a loan of $3850 at 13.99% interest compounded 12 times per year. This is shown in the second attachment.
The algebraic solution is a little messy, and involves logarithms, but you can solve it that way, too.
A = P(r/n)/(1 -(1 +r/n)^(-nt))
gives the monthly payment A on a loan of principal P at annual rate r compounded n times per year for t years. We want to find the value of nt for P=3850, A=300, r=0.1399, n=12.
Putting in the numbers, we get ...
300 = 3850(0.1399/12)/(1 -(1 +0.1399/12)^(-nt))
(1.011658333...)^(-nt) = 0.8503847222... . . . . isolate nt term
nt = -log(0.8503857222...)/log(1.011658333...) ≈ 13.982213...
Which of the binomials below is a factor of this trinomial?
x^2 + 14x + 40
A. x + 4
B. x^2 + 4
C. x + 10
D. x - 9
Answer:
A , C
Step-by-step explanation:
x² + 14x + 40 = ( x + 4 )( x + 10 )
main formula: x² + ( a + b )x + ab = ( x + a )( x + b )
What is the area of the rectangle in square units? Explain how you found your answer.
Answer:
...........
Step-by-step explanation:
1.5 > 0.75x + 1
what is x
Answer:
2/3 > x
Step-by-step explanation:
0.5 > 0.75x
2/3 > x
PLSSS HELP ME!! I'll give you 20 points and the brainlest answer.
LA
KIUNUL
1
1
1
2.49
2.49
8.99
1
ICE TEA
ICE TEA
CHICKEN, SAND
Rib Sauce
French Fries
CHILI CHEESE DOG
Homemade Coleslaw
(NO BREAD)
(< SEE SERVER>>)
Sub Total
6.49
.69
: 21.15
1. You need to pay 6% tax on your subtotal. How much will
you pay in tax?
2. What is your new total?
M
Answer:
6
Step-by-step explanation:
Zach throws a ball upward so that it follows the equation
y= 16x^2 + 64 +5 where y is the height of the ball and x is time.
How many seconds will it take for the ball to hit the ground?
Hey there!
=> y= 16x^2 + 64 +5
Let's obtain a formula for x
=> y= 16x^2 + 64 +5
=> y=16x^2+69
=> y - 69 = 16x^2
=> y - 69/16 = x^2
=> y - 4.3125 = x^2
=> x = √y - 4.3125
=> x = y - 2.08
Question error ಠ︵ಠ
If mR = 2x2 - 7°, mS = 4x2 - 6x + 40°, and mT = 18x + 3°, what is mR?
A.
11°
B.
43°
C.
25°
D.
65°
Answer:
its C
Step-by-step explanation:
Order the fractions from least to greatest. 2 9 , 4 5 , 5 18 , 9 16 A) 2 9 , 5 18 , 9 16 , 4 5 B) 5 18 , 2 9 , 4 5 , 9 16 C) 2 9 , 4 5 , 5 18 , 9 16 D) 9 16 , 5 18 , 4 5 , 2 9
Answer:
c
Step-by-step explanation:
the first number of every fraction represents the whole number of the group.
Answer:
C hope it helps
Step-by-step explanation:
Ahmad is choosing a password to access his teacher’s web page. He must choose a capital letter and three non-repeating digits from 0 through 9. The letter can be in any position in the password. Which shows part of the sample space for Ahmad’s password?
Answer:
its a or the A135 one
Step-by-step explanation:
because the last 2 have a lower case or no letter and the second one is wrong for no reason so it has to be a or the 135
Answer:
A!!!!!!!!!!!!!!!!!
Step-by-step explanation:
You have just arranged for a $1,760,000 mortgage to finance the purchase of a large tract of land. The mortgage has an APR of 7.6 percent, and it calls for monthly payments over the next 25 years. However, the loan has an eight-year balloon payment, meaning that the loan must be paid off then. How big will the balloon payment be?
Answer:
$1,500,257.38
Step-by-step explanation:
The balloon payment will be the balance on the loan after 8 years worth of payments have been made. The normal payment amount is the value calculated for a 25-year loan. A spreadsheet, financial calculator, or app can simplify this for you. In the attached, we have used the financial functions available on a TI-84 calculator.
The normal monthly payment will be $13,120.94.
After 8 years, the remaining balance will be $1,500,257.38. This is the size of the balloon payment.
Divide the product of 5/7 and -13/25 by the sum of 4/15 and -7/50.
Step-by-step explanation:
From the question above one can put down an expression as;
(5/7 × -13/25) ÷ (4/15 + (-7/50))
-13/35 ÷ 19/150
-13/35 × 150/19
-390/133
Below is a diagram of a rabbit tunnel in the shape of a triangular prism.
What is the volume of the tunnel?
Answer: 412.5cm cubed
Step-by-step explanation:
Volume of a prism: area of base ( in this case it’s the triangle) times the height
First: half x 90 x 120 = 165
Then times the height
So, 164 x 2.5 = 412.5
The volume of the given pyramid will be 1.35m³.
What is a pyramid?
Design or construction with a base that is a polygon and sides that are three or more triangles that come together at the top.
A pyramid is a 3D shape where 3 triangle comes and meet in such a way that the base side creates a triangle.
The volume of a pyramid is given by
Volume = (1/3)base²×height.
Volume = area of cross-section × length
Given,
Area of cross-section = area of the base (triangle)
Since the area of the triangle = (1/2)base×height
So,
Area of cross-section = (1/2)1.20×0.90 = 0.54 m²
So,
Volume of pyramid = 0.54 × 2.5 = 1.35 m³.
Hence " The volume of the given pyramid will be 1.35m³".
To learn more about pyramids,
https://brainly.com/question/17615619
#SPJ5
Given m|n, find the value of x.
+
(6x+5)°
(7x-4)
Answer: 9
Step-by-step explanation:
6x+5 = 7x-4 [alternate exterior angles theorem]5 = x - 4 [subtract 6x from both sides]9 = x [add 4 to both sides]The initial number of carbon-14 atoms in the organism at death is
.
After 11,460 years, there will be
carbon-14 atoms in the organism.
After
years, there will be 24.298 carbon-14 atoms in the organism.
Answer:
5,730 years.
Step-11by-step explanation:
Answer:
The death is 500, there will be 125 carbon-14 atoms, and after 25,000 years.
Step-by-step explanation: I just did it in math edg. HAVE A GREAT DAY!!
Express 38.43 as a percent
Pyramid A with height 8 has lateral edges of length 10. Pyramid B with height 12 has lateral edges of 15. Both A and B are regular square pyramids. What is the ratio of the heights of the pyramid?
Answer:
8:12
Step-by-step explanation:
The heights of both the pyramids are stated in the question so...
Pyramid A height: 8
Pyramid B height: 12
The ratio is (pyramid A : pyramid B) so our final answer should be...
8:12
The probability of two candidates A and B passing an exam are 2/3 and 3/4 respectively find the probability only one will pass at least one will pass
Answer:
[tex]\rainbow{\rule{10000pt}{900000pt}}[/tex]
select the digit in the thousands place for 689,234
Answer:
The answer is 9
Step-by-step explanation:
600,000, 50,000, 9,000, 200, 30, 4
Answer:
The remaining number in thousands units is 9
---
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I hope help you :)
Kind regards, Antonio.
The measures of two complementary angles are 4x+6 and 5x+3. Find x.
4x + 6 + 5x + 3 = 90
9x +9 = 90
( Subtract 9 from 9 and 90 )
9x = 81
( Divide 9x and 81 by 9 )
x = 9
Hope this helps.
implify 7xy + 8x - 5xy - 6x
Answer:
[tex]2x(y+1)[/tex]
Step-by-step explanation:
[tex]7xy+8x-5xy-6x\\\\2xy+2x\\\\2x(y+1)[/tex]
Answer:
2xy+2x
Step-by-step explanation:
Nikke has a set of 5 cards numbered 1 through 5. She shuffles the cards at random she repeats the process several times and records the results in the table below based on her results what is the experimental probability of choosing a 1?
Answer:
20%
Step-by-step explanation:
3/4 divided by 1/5 and explaining please
Answer:
3.75 or 3 3/4
Step-by-step explanation
Ok the denominators aren't the same so were going to make them the same by them changing into the same number.
we can do thins by timesing 5 by 4=20 and 4 timesing by 5=20
So now that the denominators are the same we have to times 1 by 4 since it denominator was times by same thing with 3 except that only get times by 5.
1 x 4=4 and 3 x 5=15 so now our two fractions are 15/20 and 4/20
15 divided by 4=3.75 and there's our answer.
we get the .75 because it is 3 more so 3 4 x3 =12 that's where we get 3 and then there is 3 left and 3/4 of and 3/4=0.75 and then you combined them to make 3.75.
hope it helps have a great afternoon
Topic 7
Performance Task
Grade
Can Tabs Collected
6th
19 13
pounds
16
171
pounds
7th
8
8th
1
12- pounds
2
32 pounds
189 pounds
23 pounds
14 pounds
Pls help need asap!!
Answer:
12 1/4 or 49/4
Step-by-step explanation:
3 1/2= 7/2 so 7/2×7/2=49/4= 12 1/4
3 and <4 are supplementary. If the m<3 = 13° what is the measure of <4?
Answer:
Well supplementary means that both the angles add up to 180
We know that the measure of angle 3 is 13 degrees.
The measure of angle 4 is unknown
And the total of angles 3 and 4 are 180.
So you can make an equation
13 + x = 180
Solve for x
x= 167
Measure of angle 4 is 167
m< 4 = 167 degrees