Answers
Answer:
[tex]AB= 20.9[/tex]
[tex]A = 33.2^\circ[/tex]
[tex]C = 54.8^\circ[/tex]
Step-by-step explanation:
Given
The above triangle
Required
Complete the lengths
To do this, we make use of sine rule.
[tex]\frac{a}{\sin A} = \frac{b}{\sin B}[/tex]
[tex]\frac{14}{\sin A} = \frac{24}{\sin 70}[/tex]
[tex]\frac{14}{\sin A} = 25.54[/tex]
Cross multiply
[tex]\sin A * 25.54 = 14[/tex]
[tex]\sin A = \frac{14}{25.54}[/tex]
[tex]\sin A = 0.5482[/tex]
Take Arc sine of both sides
[tex]A = sin^{-1}(0.5482)[/tex]
[tex]A = 33.2^\circ[/tex]
To calculate C, we have:
[tex]C = 180 -A-B[/tex] --- angles in a triangle
[tex]C = 180 -55.2-70[/tex]
[tex]C = 54.8^\circ[/tex]
Calculate length AB using the sine rule.
[tex]\frac{AB}{sin C} = \frac{AC}{B}[/tex]
So, we have:
[tex]\frac{AB}{sin 54.8} = \frac{24}{sin 70}[/tex]
Make AB the subject
[tex]AB= sin 54.8*\frac{24}{sin 70}[/tex]
[tex]AB= sin 54.8* 25.54[/tex]
[tex]AB= 20.9[/tex] -- approximated
Related Questions
A rectangular room is 5 meters longer than it is wide, and its perimeter is 22 meters. Find the dimension of
the room.
Answers
Answer:
The dimension of the room is 8m by 3m
The length and width of the rectangle are 8 meters and 2 meters.
Given,
A rectangular room is 5 meters longer than it is wide.
Perimeter = 22 meters.
We need to find the dimension of the room.
What is the perimeter of a rectangle?A rectangle perimeter is given by :
P = 2 ( length + wide )
Find the length and width of the rectangle.
Let width = W
Let length = L
L = W + 5
Find the perimeter of the rectangle.
P = 2 ( L + W )
P = 22
22 = 2 ( W + 5 + W )
Divide both sides by 2.
11 = W + 5 + W
11 = 2W + 5
Subtract 5 on both sides.
11 - 5 = 2W + 5 - 5
6 = 2W
Divide both sides by 2.
3 = W
W = 3
We see that W = 2 and L = W + 5 = 3 + 5 = 8.
Thus the length and width of the rectangle are 8 meters and 2 meters.
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Hi please help me with this!
Answers
Answer:
it's a and d
Step-by-step explanation:
a.....................
Please HELP!! Need answer ASAP
Answers
Answer:
last option: answer is 'x'
Step-by-step explanation:
(3x + 1 - 1) / 3 = 3x / 3 = x
the probability that sandra gets a ride to work on any morning is 0.7. the probability that she gets a ride 3 times in a 5-day week is , abd the probability that she gets a ride at least 2 times in a 5-day workweek is .
Answers
Answer: 0.309, 0.969.
Step-by-step explanation: plato answer
In parallelogram ABCD, the coordinates of A are (3,-1) and the coordinates of C are (-1,5). What are the coordinates of the point of intersection of the diagonals?
Answers
You are standing 6 feet away from the stage and your friend is standing 7 feet away from the stage.
Answers
Answer:
Step-by-step explanation:
Yo diría que Messi
An attic wall is in the shape of a trapezoid. The bases are 12 ft and 25 ft. The area is 185 square feet. What is the height? A = 1/2 h (b + b)
Answers
Answer: b = 2A - B
Step-by-step explanation:
2. A = 2 . 1/2 . h (B + b)
2A = h (B+b)
2A/= h/h . (B+b)
2A/h = B+b
2A - B = B - +b
b = 2A - B
Lipids provide much of the dietary energy in the bodies of infants and young children. There is a growing interest in the quality of the dietary lipid supply during infancy as a major determinant of growth, visual and neural development, and long-term health. An article reported the following data on total polyunsaturated fats (%) for infants who were randomized to four different feeding regimens: breast milk, corn-oil-based formula, soy-oil-based formula, or soy-and-marine-oil-based formula. (Use i= 1, 2, 3, and 4 respectively.)
Sample Regimen Sample Size Sample Mean Sample SD
Breast milk 15 42.9 1.3
CO 17 43.1 1.5
SO 8 43.7 1.2
SMO 14 43.9 1.2
What assumptions must be made about the four total polyunsaturated fat distributions before carrying out a single-factor ANOVA to decide whether there are any differences in true average fat content?
a. The distribution of polyunsaturated fat percentages for each of the four regimens must be uniform with equal variances.
b. The distribution of polyunsaturated fat percentages for each of the four regimens must be normal with unequal variances.
c. The distribution of polyunsaturated fat percentages for each of the four regimens must be normal with equal variances.
d. The distribution of polyunsaturated fat percentages for each of the four regimens must be binomial with unequal variances.
Answers
Answer:
c. The distribution of polyunsaturated fat percentages for each of the four regimes must be normal with equal variance's.
Step-by-step explanation:
Single factor ANOVA is used for testing the null hypothesis with same mean of several population. The alternative hypothesis is set against the null hypothesis in order to identify whether the null statement is correct or it will be rejected.
Avery has 6 yards of ribbon. He needs 1/3 yard to make 1 bow.
How many bows can Avery make
Answers
GIVING 43 POINTS AND BRAINLIEST FOR THE FIRST PERSON THAT ANSWERS AND IS CORRECT!!
Translate the following expression
9 more than a number
A. 9r
B. 9 + w
C. 9÷k
D. 9x
Answers
Answer:
Step-by-step explanation:
B
Select the formula for the
xth term of the sequence.
screen shot -
Answers
Answer:
Option (3)
Step-by-step explanation:
Given sequence is,
8, -8, 8,...........
Ratio of the 2nd and 1st term = [tex]\frac{-8}{8}[/tex]
= -1
Ratio of 3rd and 2nd term = [tex]\frac{8}{-8}[/tex]
= -1
Therefore, there is a common ratio 'r' = (-1)
And the sequence is a geometric sequence.
Explicit formula for the nth term of a geometric sequence is given by,
[tex]T_n=a(r)^{n-1}[/tex]
Here, 'a' = First term of the sequence
r = Common ratio
n = nth term
For the given sequence xth term of the sequence will be,
[tex]T_x=8(-1)^{x-1}[/tex]
Option (3) will be the answer.
Find the inverse of each function
1. f(x) = 4/(x+2) - 2
2. f(x)= -2x^5 - 3
Answers
9514 1404 393
Answer:
1. f^-1(x) = 4/(x+2) -2
2. f^-1(x) = (-(x+3)/2)^(1/5)
Step-by-step explanation:
1. As with all "inverse function" problems, solve for y:
x = f(y)
x +2 = 4/(y +2) . . . . add 2
y +2 = 4/(x +2) . . . . . multiply by (y+2)/(x+2)
y = 4/(x+2) -2 . . . . . subtract 2
We see that this function is its own inverse. The attached graph shows it is symmetrical about the line y=x.
f^-1(x) = 4/(x+2) -2
__
2. x = f(y)
x +3 = -2y^5 . . . . add 3
-(x +3)/2 = y^5 . . . . . divide by 2
(-(x +3)/2)^(1/5) = y . . . . take the 5th root
f^-1(x) = (-(x +3)/2)^(1/5)
In typeset form, that is ...
[tex]\displaystyle f^{-1}(x)=\sqrt[5]{\frac{-(x+3)}{2}}\\\\\text{or}\\\\f^{-1}(x)=-\frac{1}{2}\sqrt[5]{16x +48}[/tex]
This last version is with the denominator "rationalized" and the contents of the radical "simplified." It may be a preferred form.
_____
The graphs show the function and inverse are symmetrical about the line y=x, as they should be.
Find the perimeter of the figure. AND I'LL MAKE YOU THE BRAINIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
9514 1404 393
Answer:
97 cm
Step-by-step explanation:
The perimeter is the sum of the side lengths. Starting from the upper left corner and working clockwise, the side lengths are ...
10 +3 +33 +15 +33 +3 = 25+2(36) = 97 . . . cm
The perimeter of the figure is 97 cm.
-12 + ( ) = 9 whats the missing number
Answers
Answer:
The missing number is 21
Step-by-step explanation:
-12 + x = 9
x = 9 + 12
x = 21
Answer:
21
Step-by-step explanation:
let X = ( )
-12 + X = 9
X = 9 + 12
X = 21
A bicycle has a listed price of $516.99 before tax. If the sales tax rate is 8.75%, find the total cost of the bicycle with sales tax included.
Round your answer to the nearest cent, as necessary. HELP QUICK!
Answers
Answer:
562.23
Step-by-step explanation:
6 + 7 ?
EASY ! Your welcome !
Answers
Answer:
the correct answer is 13
Answer:
13.
Step-by-step explanation:
A wasp is a flying insect. In wasps, wing length is coded for by a single gene. Two scientists studying wasps hypothesize that short wings are recessive to long wings. Which of the following observations best supports this hypothesis?
Wasps with long wings are less likely to survive.
Wasps with long wings can produce offspring with short wings.
Wasps have wing lengths ranging from very long to very short.
Wasps with short wings prefer to mate with wasps with long wings.
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Answers
Answer:
should be C
Step-by-step explanation:
What are the coordinates of point A?
1.(5,2,0)
2.(5,0,2)
3.(0,2,5)
4.(2,0,5)
Answers
The coordinates of point A are (2, 0, 5).
Then the correct option is the fourth one.
How to get the coordinates of point A?The general notation for a point on 3 dimensions is (x, y, z).
First, notice that the vertical axis is the Z-axis, the axis that points towards us is the x-axis, the axis that points to the right is the y-axis.
First, we can see that the x-value of A is x = 2.
The z-value of A is z = 5.
And A lies on the plane x_z, then the y-value is y = 0.
Then the coordinates of point A are (2, 0, 5).
So the correct option is 4.
If you want to learn more about points:
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PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answers
Answer:
2&7
6&3
Definition:
angles located at opposite positions between the two lines that are intersected by a transversal.
Step-by-step explanation:
Compared to last month there was a 50% increase in the number of houses sold this month
Answers
Answer:
this is either a random fact or unfinished question. its probably caused by population increase
Step-by-step explanation:
Need help!! algebra!!!
Part A: The area of a square is (4a2 − 20a + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)
Part B: The area of a rectangle is (9a2 − 16b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answers
Answer:
The length of each side is (2a-5) units
Step-by-step explanation:
4a^2 - 20a +25
= (2a)^2 - 20a + (-5)^2
=(2a - 5)^2
(9a^2 - 16b^2)
= (3a)^2 - (4b)^2 this is the difference of two squares, the factors are therefore
= (3a + 4b) * (3a - 4b)
The dimensions of the rectangle are:
one pair of opposite sides are 3a + 4b
and the other pair of opposite side perpendicular to the first pair is 3a - 4b
Answer:
Step-by-step explanation:
Please help me with this ASAP ASAP please please help
Answers
Answer:
Step-by-step explanation:
Base perimeter = 2 x 2 x π = 4π in
LA = 4π x 5 = 20π in^2
Base area = 2^2 x π = 4π in^2
SA = 2 x 4π + 20π = 28π in^2
V = 4π x 5 = 20π in^3
please ????? help mdjshd
Answers
Can y’all help me? I would really appreciate it
Answers
Answer:
I think the answer is she
Find the measure of each interior angle of the shown figure *
Answers
Step-by-step explanation:
Formula to find interior angles of regular polygon=(n-2)180×n
N= number of sides
in figure sides are 5
So,
(5-2)×180
3×180
540 Answer
Answer:
108°
Step-by-step explanation:
Measure of each interior angle
[tex] = \frac{(n - 2) \times 180 \degree}{n} \\ \\ = \frac{(5 - 2) \times 180 \degree}{5} \\ \\ = \frac{3\times 180 \degree}{5} \\ \\ = \frac{540\degree}{5} \\ \\ = 108 \degree[/tex]
Find the slope and the y-intercept of the line
y=-2x+8
Answers
Answer:
Slope: -2 and Y-int: 8
Step-by-step explanation:
What is the equation of the graph below?
Answers
Answer:
y = sin(x + 90°)
Step-by-step explanation:
cos 0 = 1
Since the point (0, 1) is on the graph, this graph is y = cos x, but that is not a choice, so this must be the graph of the sine function with a horizontal translation.
sin 0 = 0
sin 90° = 1
The translation is 90°.
Answer: y = sin(x + 90°)
In this activity, you will predict the probability of an event from the relative frequency of the event. Pablo has some one-, five-, ten-, and twenty-dollar bills in his wallet. He randomly pulls one bill out of his wallet and replaces it. He does this 40 times as part of an experiment. The table shows the number of times Pablo pulls out each bill.
Bill Value Number of Times Picked
$1 6
$5 16
$10 10
$20 8
Part A
What is the relative frequency of drawing a one-dollar bill?
Part B
What is the relative frequency of drawing a five-dollar bill?
Part C
What is the relative frequency of drawing a ten-dollar bill?
Part D
What is the relative frequency of drawing a twenty-dollar bill?
Part E
Which type of bill is Pablo most likely to have the most of? How do you know?
Part F
Which type of bill is Pablo most likely to have the least of? How do you know?
Part G
Would you be surprised if Pablo had fewer twenty-dollar bills than one-dollar bills? What if he had fewer tens than ones? Why or why not?
Answers
Answer:
Part A
6/40 = 0.15
Part B
16/40 = 0.4
Part C
10/40 = 0.25
Part D
8/40 = 0.20
Part E
The relative frequency of drawing a five-dollar bill is higher than the other relative frequencies. So, I can predict that Pablo is most likely to have more five-dollar bills than any of the others.
Part F
The relative frequency of drawing a one-dollar bill is lower than the other relative frequencies. So, I can predict that Pablo is most likely to have fewer one-dollar bills than bills of any other denomination.
Part G
It would not be a surprise if Pablo had fewer twenties than ones. The experiment was conducted only 40 times, and the numbers of times one-, ten-, and twenty-dollar bills were drawn are not very far apart. So, the number of twenties could be more or less than the number of ones. The same goes for tens and ones.
If you're on Plato an on slide 20 this Answer is for you:
If Pablo does an experiment 100 times, will the relative frequency be more accurate or less accurate than if he did the experiment 40 times? Why?
Answer: As the number of trials increases, the relative frequency becomes closer to the probability of the event. So, the relative frequency would be more accurate if the experiment were repeated 100 times rather than 40 times.
The Smithtown water company uses warm water meters that measure water usage in gallons. They charge $.12 per gallon of water. If Jack's previous meter reading was 45,621 gallons and his present water reading is 48,555 gallons what is the amount of his water bill?
Answers
Subtract to find the number of gallons used:
48,555 - 45621 = 2,934 gallons.
Multiply gallons used by price per gallon:
2,934 x 0.12 = $352.08
Write the ratio 1.5:9 in simplest form.
Answers
Answer:
1 : 6
Step-by-step explanation: