use the laws of sine and cosine to find the missing Dimension part 3
Find the f to the nearest whole number
9514 1404 393
Answer:
12 or 103
Step-by-step explanation:
The given angle is opposite the shorter side, so there will be two solutions.
In order to find f, we need to know angle F. We can find that by first finding angle E.
E = arcsin(e/d·sin(D)) = arcsin(71/62·sin(36°)) = 42.307° or 137.693°
F = 180° -D -E = 180° -36° -{42.307°, 137.693°} = {101.693°, 6.307°}
Then the measure of f is ...
f = sin(F)/sin(D)×d = 62/sin(36°)×sin({101.693°, 6.307°})
f = {103.29, 11.59}
Side f is either 12 or 103.
Answer:
103Step-by-step explanation:
Find ∠E
sin E / 71 = sin 36° / 62sin E = 71 (sin 36°) / 62sin E = 0.673m∠E = arcsin (0.673)m∠E = 42° (rounded)Find m∠F
m∠F = 180° - (36° + 42°) = 102Find f
sin 102° / f = sin 36° / 62f = (62 sin 102°) / (sin 36°) f = 103 (rounded)Six less than two times a number is 20
Answer:
2x - 6 = 20
2x - 6 + 6 = 20 + 6
2x = 26
x = 13
The number should be 13
Step-by-step explanation:
I really need help please help
Answer: tan^-1(5/8) = 32 degrees from horizontal line
Step-by-step explanation: tan (Alfa) = 2000 / 3200 because
Angle from horizontal line. 2000/3200 = 20/32 = 5/8
Statistics urgent
Use n=6 and p=0.85 to complete
Answer:
I cant see anything on that picture. Wish I could help bruv. I wish I could help. It's a shame innit.
A bear weighs 4,521 grams. How much does the bear weigh in kilograms
Answer:
A bear weighing 4,521 grams would weight 4.521 kilograms
Multiply 15 by 9 then divide by 2 fraction
Answer:
15x9 is 130 but, what u mean by divided by 2 fraction?
Step-by-step explanation:
135/ 2 this is correct unless you want a mixed fraction which is 67 and 1/2
Find the limit when X approaches zero
2xsinx/1-cosx
Answer:
4
Step-by-step explanation:
[tex] Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x} [/tex]
[tex] =Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x}\times \frac{1+\cos x}{1+\cos x} [/tex]
[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{1^2 -\cos^2 x} [/tex]
[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{1 -\cos^2 x} [/tex]
[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{sin^2 x} [/tex]
[tex] =Lim_{x \to 0}\frac{2x(1+\cos x) }{sin x} [/tex]
[tex] =Lim_{x \to 0} 2(1+\cos x) \times \frac{1}{Lim_{x \to 0}\frac{sin x}{x}} [/tex]
[tex] =2(1+\cos 0) \times 1 [/tex]
[tex] = 2(1+1) [/tex]
[tex] = 2(2) [/tex]
[tex] \therefore Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x}= 4 [/tex]
Solve and explain please
Answer:
x = 14Step-by-step explanation:
7x + 9 = 9x - 19. [Corresponding Angles]
=> 9x - 19 = 7x + 9
=> 9x - 7x = 19 + 9
=> 2x = 28
[tex] = > x = \frac{28}{2} [/tex]
=> x = 14 (Ans)
What is the diameter of a hemisphere with a volume of 69292 in?, to the
nearest tenth of an inch?
Answer:
64.2 in
Step-by-step explanation:
From deltamath
Yeah
A 20 ft. beam leans against a wall. The beam
reaches the wall 13.9 ft. above the ground.
What is the measure of the angle formed by the
beam and the ground?
Answer:
a 44°
Step-by-step explanation:
Think of the right triangle formed by the beam, the ground, and the wall.
The beam is the hypotenuse. For the angle between the ground and the beam, call it angle A, the 13.9 ft side is the opposite leg. The trig ratio that relates the opposite leg and the hypotenuse is the sine.
sin A = opp/hyp
sin A = 13.9/20
sin A = 0.695
A = sin^-1 0.695
A = 44°
someone please help me answer this!!
The following set of data represents the age in years of newly married ladies in Desai. 15,25,17,20,22,24,19,16./ This data was collected after Deborah made an allegation that ladies in Desai get married at an age other than 18 years as is required by law. Does this data provide enough evidence at 5% level of significance to believe that the mean ages of ladies getting married in Desai is actually different from 18 years as claimed by Deborah?
Answer:
There is no significant evidence to conclude that the mean ages of ladies getting married in Desai is different from 18.
Step-by-step explanation:
Given the data:
15,25,17,20,22,24,19,16
Using calculator :
Mean value, xbar = 19.75
Standard deviation, s = 3.69
Samoke size, n
H0 : μ = 18
H1 : μ > 18
The test statistic :
Tstatistic = (xbar - μ) ÷ (s / sqrt(n))
Test statistic = (19.75 - 18) ÷ 3.69/ sqrt(8))
Test statistic = 1.75 ÷ 1.3046
Test statistic = 1.34
The Pvalue from test statistic ; df = n - 1 = 8 - 1 = 7
Pvalue = 0.111054
Decision :
If Pvalue < α ; reject H0
0.111053 > 0.05 ` Hence, we fail to reject H0
We can conclude that, There is no significant evidence to conclude that the mean ages of ladies getting married in Desai is different from 18.
A recipe for a pie calls for 2/4
cup of blackberries and 1/5 cup of raspberries.
What is the total amount of berries needed for the recipe?
Answer here
SUBMIT
Answer: 14/20=7/10 cup
Step-by-step explanation:
2/4 is equal to 10/20
1/5 is equal to 4/20
10/20+4/20= 14/20
You and your friend are selling magazine subscriptions. You sell 8 fewer magazine subscriptions than your friend. Together you sell 42 magazine subscriptions. a. Write a system of linear equations that represent the situation.
b. How many magazine subscriptions did you sell?
c. How many magazine subscriptions did your friend sell.
Answer:
b. you sold 17
c. your friend sold 25
Step-by-step explanation:
you=y your friend=x
y=x-8
42=x +y
42=x+(x-8)
42=x+x-8
42=2x-8
50=2x
25=x
Use x to solve for y...
y=25-8
y=17
What is the solution to the equation shown on the number line?
Answer:
B
Step-by-step explanation:
x-4=18
+4 +4
x=22
Answer:
22
Step-by-step explanation:
X-4 =18
So now we have to find a number on the line which 4 is deducted from you can get 18 as the answer
So 22-4 = 18
A movie theater has a seating capacity of 329. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 2388, How many children, students, and adults attended?
___ children attended.
___students attended.
____adults attended.
Answer:
170 children
74 students
85 adults
Step-by-step explanation:
Given
Let:
[tex]C = Children; S = Students; A = Adults[/tex]
For the capacity, we have:
[tex]C + S + A = 329[/tex]
For the tickets sold, we have:
[tex]5C + 7S + 12A = 2388[/tex]
Half as many as adults are children implies that:
[tex]A = \frac{C}{2}[/tex]
Required
Solve for A, C and S
The equations to solve are:
[tex]C + S + A = 329[/tex] -- (1)
[tex]5C + 7S + 12A = 2388[/tex] -- (2)
[tex]A = \frac{C}{2}[/tex] -- (3)
Make C the subject in (3)
[tex]C = 2A[/tex]
Substitute [tex]C = 2A[/tex] in (1) and (2)
[tex]C + S + A = 329[/tex] -- (1)
[tex]2A + S + A = 329[/tex]
[tex]3A + S = 329[/tex]
Make S the subject
[tex]S = 329 - 3A[/tex]
[tex]5C + 7S + 12A = 2388[/tex] -- (2)
[tex]5*2A + 7S + 12A = 2388[/tex]
[tex]10A + 7S + 12A = 2388[/tex]
[tex]7S + 22A = 2388[/tex]
Substitute [tex]S = 329 - 3A[/tex]
[tex]7(329 - 3A) + 22A = 2388[/tex]
[tex]2303 - 21A + 22A = 2388[/tex]
[tex]2303 +A = 2388[/tex]
Solve for A
[tex]A = 2388 - 2303[/tex]
[tex]A = 85[/tex]
Recall that: [tex]C = 2A[/tex]
[tex]C = 2 * 85[/tex]
[tex]C = 170[/tex]
Recall that: [tex]S = 329 - 3A[/tex]
[tex]S = 329 - 3 * 85[/tex]
[tex]S = 329 - 255[/tex]
[tex]S = 74[/tex]
Hence, the result is:
[tex]C = 170[/tex]
[tex]S = 74[/tex]
[tex]A = 85[/tex]
Answer:
Down Below
Step-by-step explanation:
The answer is actually
162 children
86 students
81 adults
162x5=810
86x7=602
81x12=972
I found the original problem and the total ticket sale was $2384.
So I wrote the answers for the original problem just in case!
Ty for your time!
PLEASE HELP ME ON THIS!
the height of a rectangular prism is 8 meters, and the volume is 308 cubic meters. what is the area of the prisms base in square meters?
Answer:
The area of the prism's base in square meters is [tex]38.5m^2[/tex].
Step-by-step explanation:
The volume of a rectangular prism is found by multiplying the base of the prism by the height. Since you know that the volume is [tex]308m^3[/tex] and the height is [tex]8m[/tex], you just need to divide the volume by the height to get the area of the base, which would be [tex]\frac{308}{8}[/tex] or [tex]38.5m^2[/tex].
HURRY
Which function does this graph represent?
Answer:
B
Step-by-step explanation:
Hope this helps!
Answer:
the answer is B
Step-by-step explanation:
the answer is B
A tool set is on sale fro $424.15. The original price of the set was $499.00. What percent of the original price is the sales price. (find percent)
Answer:
499-424.15=74.85
499:100=4.99
74.85:4.99=15 is the percent of the discount
100-15=85 is the percent of the original price that you pay
Step-by-step explanation:
if 70kg is 20% of peter's weight, then what is peter's total weight?
Answer:
14
Step-by-step explanation:
20\100×70=14........
Zoe supplies customs to a number of theatre companies she recently provided 20 different hats including 44 doors considering this data how many of the 15 has requested from Zoes inventory should you expect to be fedoras
Answer:
I was searching for the same answer but no one has it smh
Step-by-step explanation:
What is the value of the expression below when x equals 4? 13 + 13x
Answer:
the answer is 50
Step-by-step explanation:
Find the mean of the data in the dot plot below.
Answer:
the mean is 83.6
Step-by-step explanation:
Answer:
The mean is 83.6 cm
Step-by-step explanation:
81 + 83 +84 + 85 + 85 = 416
416 divided by 5 = 83.6
Helpppppppppppp me please
Answer:
C) x² = a/b
Step-by-step explanation:
What is the surface area of a storage box that measures 19 centimeters by 16 centimeters by 14 centimeters
Answer:
surface area = 2(length× breadth) +2(length ×height) +2(height×breadth
ZA and B are complementary angles. If m_A = (x – 15)° and m ZB = (x + 3)º, then find the measure of ZB.
Answer:
ZB = 54
Step-by-step explanation:
Complementary angles add to 90 degrees
ZA + ZB = 90
x-15 + x+3 = 90
Combine like terms
2x-12 =90
Add 12 to each side
2x-12+12 = 90+12
2x = 102
Divide by 2
2x/2 = 102/2
x = 51
We want to find the measure of ZB
ZB = x+3
ZB = 51+3
ZB = 54
Find the slope of a line that passes through the points (-7, 3) and (5, 6).
Answer:
the formula to find slope is m=∆y/∆y
this means m=y2-y1/x2-x1
using this formula
m=5-3/6-(-7)
m=2/13
Answer:
The slope is 0.25
Step-by-step explanation:
I
4. Two rectangular corrals are to be made from 100 yds. of fencing. If a rancher wants the
total area to be maximized, what should the dimensions of the coral be?
The dimensions of the coral if the area is maximized will be 50/3 yards by 25yards.
Measurement is a branch of mathematics used in determining the area and volume of an object.
From the question,
Let the length of the two rectangular corrals be x
Let the length of the three fence section be y
Note that the area of the rectangle A = length * width
A = xy .....1
Also, since the rectangular corrals are to be made from 100 yd, then;
3x + 2y = 100 ..... 2
Divide through by 2
3x/2 + 2y/2 = 100/2
1.5x + y = 50
y = 50 - 1.5x .... 3
Substitute equation 3 into 1 to have:
A = x(50-1.5x)
A = 50x - 1.5x²
Since the total area is to b maximized, this means that:
dA/dx = 0
dA/dx = 50 - 3.0x
0 = 50 - 3x
3x = 50
x = 50/3 yards
Substitute the value of x into equation 3:
y = 50 - 1.5x
y = 50 - 1.5(50/3)
y = 50 - 25
y = 25yards
Hence the dimensions of the coral if the area is maximized will be 50/3 yards by 25yards.
Learn more here: https://brainly.com/question/10369514
Need help like right now please
Answer:
X= 12√3
y=12
Step-by-step explanation:
To find x
Cos30°=x/24
√3/2=x/24
x=12√3
To find y
Sin30°=y/24
1/2=y/24
y=12
hope it helps
have a great day!!
x2+4x+3 solve for x.
Answer:
(x+1)(x+3)
Step-by-step explanation:
Let's factor x^2+4x+3
x^2+4x+3
The middle number is 4 and the last number is 3.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 4
Multiply together to get 3
Can you think of the two numbers?
Try 1 and 3:
1+3 = 4
1*3 = 3
Fill in the blanks in
(x+_)(x+_)
with 1 and 3 to get...
(x+1)(x+3)
