Answers
Answer:
Step-by-step explanation:
By applying sine rule in the given triangle,
cos(25°) = [tex]\frac{\text{AC}}{AB}[/tex]
cos(25°) = [tex]\frac{b}{400}[/tex]
b = 400[cos(25°)]
b = 362.52
b = 363 ft
By applying sine rule in the given triangle,
sin(25°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(25°) = [tex]\frac{a}{400}[/tex]
a = 400[sin(25°)]
a = 169.05
a = 169 ft
m∠A + m∠B + m∠C = 180°
25° + m∠B + 90° = 180°
m∠B = 180° - 115°
m∠B = 65°
Related Questions
y∝1√x
If
y=7 when x=64
find,
x when y=8
Answers
Answer:
uhm im really sorry about this but i really need points i would help but id get it wrong im bad aat math
Step-by-step explanation:
Which net can be folded to form a triangular pyramid?
Answers
The net that can be folded to form a triangular pyramid is net b
How to determine the net that can be foldedFrom the question, we have the following parameters that can be used in our computation:
The nets in the list of options
As a general rule, a triangular pyramid has 4 triangles such that
Three triangles are adjacent and one triangle is at the top or at the bottom
using the above as a guide, we have the following:
The net that can be folded to form a triangular pyramid is net b
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in Enter a number into each box to create
an equation that has exactly no real solution.
3(2x+5)-X =
2) Enter a number into
each box to create an
equation that has exactly one real solution.
19x -(5x+9)+7=
Answers
Answer: 5X+15
The first one is
The second one is 2(7X+8)
Following are weights, in pounds, of two-month-old baby girls. It is reasonable to assume that the population is approximately normal.
12.32 11.87 12.34 11.48 12.66
8.51 14.13 12.95 9.34 8.63
Required:
a. Construct a interval for the mean weight of two-month-old baby girls.
b. According to the National Health Statistics Reports, the mean weight of two—month-old baby boys is 13.9 pounds. Based on the confidence interval, is it reasonable to believe that the mean weight of two-month—old baby girls may be the same as that of two-month-old baby boys? Explain.
Answers
Answer:
10.224 < μ < 12.622 ;
Since the mean weight of 2-montj old baby boys (13.9) falls outside the confidence interval, we can conclude that it is not reasonable to believe that the mean weight of two-month-old baby girls may be the same as that of two-month-old baby boys.
Step-by-step explanation:
The confidence interval is given as :
Mean ± Margin of Error
margin of error = Zcritical * standard deviation /sqrt(n)
n = sample size
From the data:
12.32, 11.87, 12.34, 11.48, 12.66, 8.51, 14.13, 12.95, 9.34, 8.63
From the data:
Using calculator :
Mean, = 11.423
Standard deviation, s = 1.934
Zcritical at 95% confidence interval = 1.96
Sample size, n = 10
Margin of Error = 1.96* 1.934/sqrt(10) = 1.199
Lower boundary = 11.423 - 1.199 = 10.224
Upper boundary = 11.423 + 1.199 = 12.622
10.224 < μ < 12.622
Since the mean weight of 2-montj old baby boys (13.9) falls outside the confidence interval, we can conclude that it is not reasonable to believe that the mean weight of two-month-old baby girls may be the same as that of two-month-old baby boys.
Find the area inside the square and outside the circle. (Simplify your answer. Type an exact answer in terms of pi.)
Answers
9514 1404 393
Answer:
(676 -169π) ft²
Step-by-step explanation:
The area of the square is ...
A = s² = (26 ft)² = 676 ft²
The area of the circle is ...
A = πr² = π(13 ft)² = 169π ft²
Then the shaded area is ...
(676 -169π) ft²
Plssss helppppppl:((((
Answers
Answer:
I think it's 1.5 I'm not sure ._.
Answer:
1/3
Step-by-step explanation:
Total students = 36
No of boys = 24
No of girls = 36 - 24 = 12
Probability of selecting a girl = 12/36 = 1/3
In a class of 30 students 16 have a cat and 15 have a dog there are 11 students who have a cat and a dog what is the probability that a student has a dog given they do not have a cat?
Answers
The probability that a student has a dog given they do not have a cat is 0.1333.
What is probability?Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.
For the given situation,
Total number of students = 30
[tex]n(s)=30[/tex]
Number of students have cat = 16
Number of students have dog = 15
Number of students have a cat and a dog = 11
The event is the probability that a student has a dog given they do not have a cat,
[tex]n(e)=15-11[/tex]
⇒ [tex]4[/tex]
Thus the probability that a student has a dog given they do not have a cat is
⇒ [tex]P(e)=\frac{n(e)}{n(s)}[/tex]
⇒ [tex]P(e)=\frac{4}{30}[/tex]
⇒ [tex]P(e)=0.1333[/tex]
Hence we can conclude that the probability that a student has a dog given they do not have a cat is 0.1333.
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help me please thank you
Answers
Answer:
3/2 and 3/4 are both not multiples of 1/3.
Step-by-step explanation:
They have to have 3 as the denominator (or the number below the line) to be a multiple of 1/3. For example: 1/3, 2/3, 3/3.
Hope you understand that! :)
Answer:
Explanation Below :)
Step-by-step explanation:
3/2 & 3/4 are mistakes
When finding three multiples of a number that is a fraction, the denominator (bottom number) always stays the same. So, 3/2 & 3/4 are not multiples of 1/3.
Please Help!!! I'll Give Best And Brainliest if it lets me!
Answers
Answer:
6
Step-by-step explanation:
this is the answer. have a great day.
Suppose lightning strikes at an average of 1.4 strikes per minute during a particular storm. You play the following game: if the next strike occurs within the next minute, you win 3 dollars, if the next strike occurs between 1 minute and 2 minutes from now, you win 5 dollars, and if the next strike occurs more than 2 minutes from now, you win 1 dollar. How much should someone be charged to play this game, to make it a "fair game?"
Answers
Answer:
$3.25
Step-by-step explanation:
Given that:
Mean, λ = 1.4
Strike within next minute = $3 won
Strike between one and 2 minutes = $5
Strike more than 2 minutes = $1
Probability that next strike occurs within the next minute :
Using poisson :
P(x < 1) = 1 - e^-(λx) ;
P(x < 1) = 1 - e^-(1.4*1) = 1 - e^-1.4
P(x < 1) = 1 - 0.2465969
P(x < 1) = 0.7534030
Next strike occurs between 1 and 2 minutes :
(1 < x < 2) :
P(x < 2) - P(x < 1)
P(x < 2) = 1 - e^-(λx) ;
P(x < 2) = 1 - e^-(1.4*2) = 1 - e^-2.8
P(x < 2) = 1 - 0.0608100
P(x < 2) = 0.9391899
P(x < 2) - P(x < 1)
0.9391899 - 0.7534030 = 0.1857869
P(striking after 2 minutes)
P(x > 2) = e^-(λx) ;
P(x > 2) = e^-(1.4*2) = e^-2.8
P(x > 2) = 0.0608100
Amount charged :
(0.7534030 * 3) + (0.1857869 * 5) + (0.06081 * 1)
= 3.2499
= $3.25
Randy wants to install a patio, which will be filled with concrete. The dimensions of the patio are 14 m long, 8 m wide, and 1 m deep. Determine the cost of the
concrete to be used while installing the patio if the concrete is available to Randy at the rate of $5 per cubic meter.
The cost of the concrete for installing the patio will be,
Answers
Answer:
Total cost of patio = $560
Step-by-step explanation:
Given:
Length of patio = 14 m
Width of patio = 8 m
Height of patio = 1 m
Cost of 1 m³ concrete = $5
Find:
Total cost of patio
Computation:
Volume of patio = l x b x h
Volume of patio = 14 x 8 x 1
Volume of patio = 112 m³
Total cost of patio = Volume of patio x $5
Total cost of patio = 112 x $5
Total cost of patio = $560
Add using Scratch Addition. 45 + 58 + 29 + 59 + 67 + 37 + 55 + 79 + 87 3
Answers
Answer:
1302
Step-by-step explanation:
Kai can wrap 42 gifts in 3 hours. Answer the following questions, assuming that Kai can continue wrapping gifts at that same rate. How many gifts can Kai wrap in 24 hours? _______________ How many hours would it take him to wrap 126 gifts? _______________ How many gifts does Kai wrap per hour? _______________
Answers
Answer:
1. 336
2. 9
3. 14
Step-by-step explanation:
He wraps 42 gifts/3hours
24 hours is 8 "3 hours"
42 hours per 3 gifts * 8 "3 hours" = 336 gifts
126 gifts is 3 "42 gifts"
3 hours per 42 gifts * 3 "42 gifts" = 9 hours
He wraps 42 gifts/3hours
divide these values by 3 and you get 14 gifts/one hour
14 gifts every one hour
I need help please!!
Answers
Answer:
3 1/4 + 4 2/5 + 6 1/2 = 14.15 hours
Step-by-step explanation:
Find the area of the shaded polygons
Answers
Answer:
4 sq un
Step-by-step explanation:
Leon older brother is 4 and 3/4 feet tall Leon is 1/3 foot shorter than his brother how tall is Leon
Answers
Answer:
4 5/12 feet tall
Step-by-step explanation:
All you have to do is subtract 1/3 from 4 and 3/4 in order to get this answer.
Answer:
Leon is 53/12 feet or 4 & 5/12 or 4.4167 (same answer different forms)
Step-by-step explanation:
Leon older brother is 19/4 feet tall or 57/12.
Leon is 1/3 or 4/12 foot shorter than his brother.
57/12-4/12= 53/12
shamika grew by 14 cm in the past year, and is now 1.33 meters tall. how tall in meters was shamika last year
Answers
A force of 50 pounds acts in a direction 60° above horizontal, moving an object 100 feet from (0, 0) to (100, 0). How much work is done by the force?
Answers
Answer:
Your answer is 1500
Step-by-step explanation:
Hope this helped
Answer:
C
Step-by-step explanation:
Edge 2021
2+262+77+8+9+9+8+6+5+5+4+5+56+6+6+6+8+8+65+6+6+8+8
Answers
Answer:
583
Step-by-step explanation:
Trying to help my daughter can't figure this out.
The perimeter of a rectangle is 72 meters. The width of the rectangle is 4meters less than the length. Find the length and width of the rectangle. (use l for the length)
Answers
Answer:
width equals 16
length = 20
Step-by-step explanation:
Hello there!
we know that the perimeter is 72 m
and the width is 4 m less then the length
perimeter is 2w+2l
w=width and l = length
72 + (2x-4) = 72+8 = 80
80 / 4 (because there are 4 values, w, w, l, l ) = 20
so now...
20 - 4 = w
16 = w
and 20 = l
16+16 = 32
20+20 = 40
32+40 = 72
Please help me with number 6
Answers
Please Help me!!! with this problem
Answers
9514 1404 393
Answer:
D 120
Step-by-step explanation:
We are given the relation ...
48 = 0.40 × sales
Dividing by 0.40 gives the sales for the day.
sales = 48/0.40 = 120
120 milkshakes were sold that day.
1)
15 ft
12 ft
18 ft
A) 116.9 ft2
C) 216 ft?
E) 54 ft
B) 115.2 ft2
D) 108 ft2
Answers
Answer:
D
Step-by-step explanation:
I would really appreciate it if someone could answer this I will give a brainlist:)
Answers
Answer:
x = 97
Step-by-step explanation:
a^2 + b^2 = c^2
(65^2) + (72^2) = c^2
4,225 + 5,184 = c^2
9,409 = c^2
√9,409 = 97 = c^2
97 = c
97 = x
If 3 students eat 2 pizzas how many pizzas are needed for 54 students
Answers
Answer:
18 pizzas
Step-by-step explanation:
x:y=5:3 and x+y=56 work ouy the value of x and y
Answers
Answer:
x=35, y=21
Step-by-step explanation:
A way to rewrite the first equation is [tex]\frac{x}{y} =\frac{5}{3}[/tex]
after cross-multiplying, we get 3x=5y.
If we solve for one variable, we can substitute it into the other equation.
Let's solve for x.
3x=5y
x=(5/3)y
Now, we can substitute x=(5/3)y in the equation x+y=56.
(5/3)y+y=56
(8/3)y=56
y=21
Going back to x+y=56, we can now plug back in y, knowing that it is 21.
x+21=56
x=35.
the perimeter of a rectangle is 58m if its length is 17m find its breadth
pls help its urgent
Answers
58=2*17+2*b
58-34=2b
b=12 m
If the graph of the second equation in the system passes through the points (-12, 20) and
(4, 12), which statement is true?
Answers
answer: the system had no solution
Which of the following could not be a cross section of a rectangular prism?
A. Rectangle
B. Circle
C. Parallelogram
D. Triangle
Answers
Answer:
B
Step-by-step explanation:
i will love you if u please answer this question PLSS
Answers
Answer:
On the dive boat deck
Step-by-step explanation:
This is above the water level and water level is considered to be 0
pls love me <3