Right Triangles
Solve the right triangle shown in the figure
∠C = 90°, BC = 7.50mi, AC = 11.43mi
a. AB = 19.5mi, ∠A = 31.2°, ∠B = 58.8°
b. AB = 16.mi, ∠A = 35.2°, ∠B = 54.8°
c. AB = 13.7mi, ∠A = 33.3°, ∠B = 56.7°
d. No triangle satisfies the given conditions.
Please select the best answer from the choices provided
Answers
Answer:
C. AB = 13.7mi, ∠A = 33.3°, ∠B = 56.7°
Step-by-step explanation:
I calculated it logically
Related Questions
What is the perimeter of DEFG if D is located (1,2), E is located (2,6), F is located (6,7), G is located (5,3)?
Answers
Answer:
B.
Step-by-step explanation:
First find the lengths of the DE and DG
DG=
[tex] \sqrt{(5 - 1) {}^{2} + (3 - 2) {}^{2} } \\ \sqrt{4 {}^{2} + 1 {}^{2} } \\ \\ \sqrt{16 + 1} \\ \sqrt{17} [/tex]
DE=
[tex] \sqrt{(2 - 1) ^{2} + (6 - 2) {}^{2} } \\ \sqrt{1 {}^{2} + 4 {}^{2} } \\ [/tex]
[tex] \sqrt{17} [/tex]
Since both lengths are same that's means all the lengths are same. To find perimeter we need to add all the sides
[tex] \sqrt{} 17 + \sqrt{} 17 + \sqrt{} 17 + \sqrt 17 \\ 4 \sqrt{17} [/tex]
Corny the jet pilot heads his jet due cast. The jet has a speed of 440 mph relative to the
air. The wind is blowing due north with a speed of 35 mph.
(a) Express the velocity of the wind as a vector in component form.
(b) Express the velocity of the jet relative to the air as a vector in component form.
(c) Find the true velocity of the jet as a vector,
(d) Find the true speed and direction of the jet.
Answers
Write an equation in slope-intercept form for the following line:
(-14,1) and (13,-2)
Answers
Answer:
[tex] \large \boxed{y = - \frac{1}{9} x - \frac{5}{9} }[/tex]
Step-by-step explanation:
In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.
[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]
m-term is defined as slope in y = mx+b form which is slope-intercept form.
Now we substitute these ordered pairs (x, y) in the formula.
[tex] \large{m = \frac{1 - ( - 2)}{ -14 - 13} } \\ \large{m = \frac{1 + 2}{ - 27} } \\ \large{m = \frac{3}{ - 27} = - \frac{1}{9} }[/tex]
After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is
[tex] \large \boxed{y = mx + b}[/tex]
We already know m-value as we substitute it.
[tex] \large{y = - \frac{1}{9} x + b}[/tex]
We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)
We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.
[tex] \large{y = - \frac{1}{9} x + b} \\ \large{ - 2 = - \frac{1}{9} (13) + b} \\ \large{ - 2 = - \frac{13}{9} + b} \\ \large{ - 2 + \frac{13}{9} = b} \\ \large{ - \frac{5}{9} = b}[/tex]
Finally, we know b-value. Then we substitute it in our equation.
[tex] \large{y = - \frac{1}{9} x + b} \\ \large{y = - \frac{1}{9} x - \frac{5}{9} }[/tex]
What is the mode of the data below?
45, 19, 23, 67, 28, 35, 46, 21, 58, 60, 23, 51
Answers
Answer:
23
Step-by-step explanation:
have a good day :)
The standard deviation of SAT scores for students at a particular Ivy League college is 250 points. Two statistics students, Raina and Luke, want to estimate the average SAT score of students at this college as part of a class project. They want their margin of error to be no more than 26 points.
(a) Raina wants to use a 90% condence interval. How large a sample should she collect?
(b) Luke wants to use a 99% condence interval. Without calculating the actual sample size, determine whether his sample should be larger or smaller than Raina's, and explain your reasoning.
(1) smaller since Luke has a higher level of confidence in his results than Raina
(2) smaller because higher degrees of confidence require smaller margins of error
(3) larger higher degrees of confidence require larger margins of error
(c) Calculate the minimum required sample size for Luke.
Answers
Answer:
A
Step-by-step explanation:
John is asked to roll a fair number cube, numbered from one to six, and toss a balanced quarter simultaneously. What is the probability that he will roll a 2 and the quarter will come up tails?
Answers
Answer: 1/12 or 8.3%
Step-by-step explanation:
probability of a 2 on the cube: 1/6
probability of tails on the quarter: 1/2
1/6*1/2=1/12
1/12 or 8.33333% (round to 8.3%)
Bob makes three different silverware - spoons, forks and knives. Each unit (dozen) of spoon gives him a profit of $9, forks of $20 and knives of $17.50. He has 183 hours of machine time, 250 hours of labor and 185 pounds of steel. It takes him 4 hours of machine time, 4 hours of labor time and 3 pounds of steels to make one unit of spoons. Each unit of forks take 4 hours of machine time, 9 hours of labor time and 2 pounds of steel, while knives take 5 hours of machine time, 5 hours of labor and 4 pounds of steel. It is also found that he should make at least 16 units of forks in the process. The solution is
x1 = ________
x2 = ________
x3 = ________
with an objective value of ________
The resources that are used up are________
If it was decided that as many as 20 units of forks could be made instead of 16, how much would profit increase?
Answers
Answer:
Solution is:
z (max) = 687.5
x₁ = 0
x₂ = 16
x₃ = 21
Step-by-step explanation:
From the problem statement we have:
Resources: machine time ( 183 h) labor (250 h) steel 185 (pounds)
Unit
Spoons 4 4 3
forks 4 9 2
knives5 5 5 4
Profit $ 9 20 17.5
Objective function z = 9*x₁ + 20*x₂ + 17.5 *x₃ to maximize
Subject to:
Availability of machine time : 183 h
4*x₁ + 4*x₂ + 5*x₃ ≤ 183
Availability of labor : 250 h
4*x₁ + 9*x₂ + 5*x₃ ≤ 250
Availability of steel : 185 pounds
3*x₁ + 2*x₂ + 4*x₃ ≤ 185
Requirement:
x₂ ≥ 16
General constraints:
x₁ ≥ 0 x₃ ≥ 0 all integers
After 6 iteration the solution using AtomZmath on-line solver
z (max) = 687.5
x₁ = 0
x₂ = 16
x₃ = 21
Resources used:
Machine time: 16* 4 + 21*5 = 64 + 105 = 169
remains 183 - 169 = 14 h
Labor: 16*9 + 21* 5 = 144 + 105 = 249
remains 250 - 249 = 1 h
Steel : 16*2 + 21*4 = 32 + 84 = 116
remains 185 - 116 = 69 pounds.
If it is decided that 20 units of forks are to be made then
we will need 4*4 = 16 h of machine time
9*4 = 36 h of labor
2*4 = 8 pounds of steel
We can get that from abandom to make one unit of x₃ ??
No because as we said we need 36 hours of labor ( we still have 1 we need 35 more hours ) if we make 20 x₃ insted of 21 we get only 5 hours.
z we got is maximum
A rectangle has a length of (3x - 4) units and a width of (2x + 3) units,
What is the perimeter of the rectangle in terms of ?
A. (5x - 2) units
B. (5x + 14) units
C. (10x - 2) units
D. (10x + 14) units
Answers
Answer:
C. (10x - 2) units
Step-by-step explanation:
Perimeter of a rectangle:
The perimeter of a rectangle of length l and width w is given by:
[tex]P = 2(l + w)[/tex]
A rectangle has a length of (3x - 4) units and a width of (2x + 3) units.
This means that [tex]l = 3x - 4, w = 2x + 3[/tex]
What is the perimeter of the rectangle in terms of x?
[tex]P = 2(l + w) = 2(3x - 4 + 2x + 3) = 2(5x - 1) = 10x - 2[/tex]
The correct answer is given by option C.
please help asap !!!!
Answers
Answer:
P = 3/8
q = 1/2
Step-by-step explanation:
(3/8)^3/8 × (3/8)^1/8 = P^q
Because of the same base, pick one of the bases
Then, add the powers
(3/8)^3/8 × (3/8)^1/8 = P^q
= (3/8)^3/8 + 1/8
= (3/8)^(3+1)/8
= (3/8)^4/8
= (3/8)^1/2
Therefore,
P^q = (3/8)^1/2
Where,
P = 3/8
q = 1/2
P^q = (3/8)^1/2
= √(3/8)
Can somebody tell me exactly what to put in the answer please
Answers
Answer:
I am sorry I don't know it, but once I find out I will tell you
Step-by-step explanation:
Answer:
Cylinder has no sharp points but cone as sharp edge.
27leejaey avatar
I hope that helps :D
Step-by-step explanation:
Cylinder has no sharp points but cone as sharp edge.
27leejaey avatar
I hope that helps :D
Solve the problem. Use the Central Limit Theorem. (7) 6) The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 109 inches, and a standard deviation of 10 inches. What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 111.8 inches
Answers
Answer:
The answer is "0.9192".
Step-by-step explanation:
[tex]\mu=109\\\\\sigma=10\\\\n=25\\\\\to P(\bar{x}< 111.8)=P(\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}} < \frac{111.8-109}{\frac{10}{\sqrt{25}}})\\\\[/tex]
[tex]=P(2<1.4)\\\\=\phi (1.4)\\\\=0.9192[/tex]
f(x) = - 2x - 3
g(x) = 3x + 1
Find (f. g)(x).
Answers
Carl bought 24 daisies and roses. Daisies cost $0.25 each and roses cost $0.90 each. If
Carl spends a total of $16.40, how many daisies did he get and how many roses did he
get?
Answers
Answer:
Roses= $8.4
Daises= $15.6
Step-by-step explanation:
Let represent the daises and let r represent d roses
r + d= 24....equation 1
0.25r + 0.90d= 16.40.......equation 2
r= 25-d
Substitute 25-d for r in equation 2
0.25(25-d) + 0.90d= 16.40
6.25-0.25d+0.90d= 16.40
6.25+0.65d= 16.40
0.65d= 16.40-6.25
0.65d= 10.15
d= 10.15/0.65
d = 15.6
Sub 15.6 for d in equation 1
r+d= 24
r+15.6= 24
r= 24-15.6
= 8.4
Price of daises is $15.6
Roses is $8.4
In the image, two circles are centered at A. The circle containing was dilated to produce the circle containing B!
What is the scale factor of the
dilation?
O A. 1
OB. 2
OC. 0.5
OD.
-0.5
Answers
If one data point is 36, which point would make 48 the mean?
Answers
Y=5(x+4)(x-3)
PLEASE HELP ASAP
Answers
Answer:
-4, 3
Step-by-step explanation:
To find x intercepts, set y equal to 0;
0 = 5(x+4)(x-3); when x = -4 or x = 3, y will be zero (these are the x intercepts),
(3m^0)^3
A. 27cm3
B. 27
Answers
The antisymmetric exchange interaction of two electron spins σ1 and σ2 is given by Hamiltonian operator H = A · (σ1 × σ2),Furthermore, the direct product of two single spin subspaces is meant, so that the resulting Hilbert space of spins is a 4x4 matrix. Is the square of the total spin of two electrons conserved?
Answers
Answer:
Yes the square of the total spin of two electrons is conserved ( s^2)
Step-by-step explanation:
using the Hamiltonian operator H = A · (σ1 × σ2)
S = ( S1 + S2 )
S^2 = S²₁ + S²₂ + 2S₂ . S₂ ( apply the equation of time evolution )
Attached below is the detailed solution
An online furniture store sells chairs for $200 each and tables for $500 each. Every day, the store can ship no more than 29 pieces of furniture and must sell at least $8800 worth of chairs and tables. If 14 chairs were sold, determine all possible values for the number of tables that the store must sell in order to meet the requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.
Answers
Answer:
12, 13 ,14 ,15
Step-by-step explanation:
200x14=2,800
8,800-2,800=6,000
6,000/500=12
12+14=26
13+14=27
14+14=28
14+15=29
All I need is for someone to explain how you get this answer !!
(The answer is the bottom part)
WILL MARK BRANLIEST
Answers
Answer:
THATS EASY HAHA JJUST DOWNLOAD THIS APP MATHSOLVER ITS EFFECTIVE
Step-by-step explanation:
HOPE IT HWLPS
Cast Iron Company, on each nondelinquent sale, receives revenues with a present value of $1,230 and incurs costs with a value of $1,065. Cast Iron has been asked to extend credit to a new customer. You can find little information on the firm, and you believe that the probability of payment is no better than 0.77. But if the payment is made, the probability that the customer will pay for the second order is 0.94. It costs $15.25 to determine whether a customer has been a prompt or slow payer in the past.
Calculate the minimum probability at which credit can be extended. (round answer 2 decimal places)
Answers
Answer:
[tex]P=0.866[/tex]
Step-by-step explanation:
From the question we are told that:
Present value of iron [tex]x_v=\$1230[/tex]
Present cost of iron [tex]x_c=\$1065[/tex]
Probability of payment [tex]P_p=0.77[/tex]
Probability that the customer will pay for the second order [tex]P_s=0.94[/tex]
Cost of knowing customer status [tex]x_k=\$15.25[/tex]
Generally the equation for Expected probability [tex]E_p[/tex] is mathematically given by
[tex]E_p=(probability*(revenue-cost)-(1-probability)*present\ value\ of\ cost)[/tex]
[tex]E_p=(P*(x_v-x_c)-(1-P)*X_c)[/tex]
Where
[tex]E_p=0[/tex]
[tex]P=minimum\ probability\ at\ which\ credit\ can\ be\ extended[/tex]
Therefore
[tex]0=(P*(1230-1065)-(1-P)*1065)[/tex]
[tex]165P-1065+1065P=0[/tex]
[tex]P=\frac{1065}{1230}[/tex]
[tex]P=0.866[/tex]
Therefore the minimum probability at which credit can be extended is given as
[tex]P=0.866[/tex]
[tex]P=86.6\%[/tex]
A BIT OF HELP HERE- PLEASEE
Answers
Answer:
Solution given:
G=-17
H=5
distance =-17-5=-22
since distance is always positive so
distance between GH: 22 units.
Location
G=-17H=5Find distance
|-17-5||-22|22unitsPleaseee Help
What is the area of the shaded sector?
Answers
Answer:
40π
Step-by-step explanation:
∅ = 360 - 135 = 225
a = (∅/360) * π * r²
a = (225/360) * π * 8²
a = 40π
Triangle ABC is shown on the grid. What is the perimeter of triangle ABC? A(-1,5) B (4, 5) C (-1,1). A 9+ sqr21 units. B 9+sqt29 units. C 9+ sqr41 units. D 9+ sqr61 units
Answers
Answer:
C, 9+ the square root of 41
Step-by-step explanation:
got it right on edge :)
A janitor can clean 1/9 of a stadium in 1/3 of an hour. If he continues at this rate how much of the stadium can he clean pre hour
Answers
Amys older brother works 35 hours each week. if he works 18 dollars an hour how much does he earn in one week.
Answers
Answer:
$630 per week
Step-by-step explanation:
I assume the question is asking:
Amy's older brother works 35 hours per week. If he is paid $18 per hour, how much does he earn in one week?
$18/hour* 35 hours/week = $630/week
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Answers
Answer:
A
Step-by-step explanation:
Answer:
Don't agree with 1 and 2, agree with 3
Step-by-step explanation:
1: -35 degrees Fahrenheit is colder than 35 degrees Fahrenheit.
2: A distance of 15 meters is greater than a distance of 10 meters, not less, so it is not closer to sea level.
3: A distance of 17 meters is less than a distance of 40 meters, so it is closer to sea level.
g(x)=2x
h(x)=4x-3
Find (g-h)(2)
Answers
Answer:
-1
Step-by-step explanation:
g(x) = 2x
h(x) = 4x - 3
(g - h)x = g(x) - h(x)
g(x) - h(x) = 2x - 4x + 3
g(2) - h(2) = 2*2 - 4*2 + 3
g(2) - h(2) = -4 + 3
g(2) - h(2) = - 1
neeeeeeeeeeeeed help
Answers
Answer:
[tex]\huge\boxed{\fcolorbox{green}{pink}{Answer}}
[/tex]
D. 34 lakh
Which ordered pair is a solution to the equation? y=x3/4
(8, 6)
(−8, 8)
(6, 8)
(−4, 1)
Answers
Answer:
(8,6)
Step-by-step explanation:
y=x3/4
y=8(3/4)
y=24/4
y=6
when you input 8 for x, you get 6 for y.
Answer:
Step-by-step explanation:
y = x3/4 is ambiguous. I will assume that you meant
x^3
y = ---------
4
Then, if x = 8, y = 128 (not a solution)
If x = -8, y = -128 (not a solution)
If x = 6, y = 54 (not a solution)
If x = -4, y = -1/4 (not a solution)]
Ensure that you have copied down this problem correctly.