In ΔDEF, d = 440 inches, f = 410 inches and ∠F=120°. Find all possible values of ∠D, to the nearest 10th of a degree.
There are two solutions for the triangle DEF: ∠ D₁ ≈ 68.3°, ∠ D₂ ≈ 111.7°.
How to find all possible values of a triangle by law of sinesIn this question we have a triangle with two known sides and a known angle. By the law of sines we find the possible values of the angle D:
410/sin 120° = 440/sin D
Please notice that the sum of the internal angles of triangles equals 180°. Then,
sin D = (440/410) · sin 120°
sin D ≈ 0.929
There are two solutions for the triangle DEF: ∠ D₁ ≈ 68.3°, ∠ D₂ ≈ 111.7°.
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which of these tables represents a function
Answer: choice D
Step-by-step explanation:
In order for something to be a function for every x input there must be exactly 1 y output. This means that if x is a number then y must always be 1 number and that 1 number only.
There are nine counters in a bag numbered from one to nine. If a counter is drawn at random from the bag what is the probability that the number on the counter is not a multiple of three?
Step-by-step explanation:
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The probability is 1/3 that the number on the counter is not a multiple of three.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
We have to determine the probability that the number on the counter is not a multiple of three.
There are nine counters in a bag numbered from one to nine.
If a counter is drawn at random from the bag.
One to nine, there are three numbers are multiple of three that is (3, 6, 9)
Here favorable outcomes = 3
So the probability that the number on the counter is not a multiple of three as
⇒ 3/9
⇒ 1/3
Therefore, the probability is 1/3 that the number on the counter is not a multiple of three.
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triangle ABC has angle measures as shown.
A) what is the value of x? show your work.
B) what is the measure of angle C? show your work.
Answer:
12°
Step-by-step explanation:
Sum of interior angles of the triangle is 180°:
m∠A + m∠B + m∠C = 180°
3x + 28° + 5x + 52° + 2x - 10° = 180°
10x + 70° = 180°
10x = 110°
x = 11°
Find the measure of angle C:
m∠C = 2x - 10° = 2(11°) - 10° = 22° - 10° = 12°
Answer:
Step-by-step explanation:
(2x - 10)° + (5x + 52)° + (3x + 28)° = 180°
10x + 70 = 180
x = 11
m∠C = [ 2(11) - 10 ]° = 12°
Which of the following statements is true?
A.
m is parallel to /.
B.
/ and m bisect each other.
C.
The distance from A to A' equals the distance from A to m.
D.
m bisects /.
if you had to report on the salaries for different occupations, do you think it would be better to report the mean or the median value
Which equation models this relationship?
Answer:
The one you selected is correct! You can check it by using the four values of m and w given.
6 Factorise
x2 + 6x -7
Answer:
(x+7)(x-1)
Step-by-step explanation:
x^2 + 6x -7
so here we need two number that give 7 when multiplied and 6 when subtracted
7 and 1 are the numbers because
7*1=7 and ,
7-1=6 so,
x^2 + (7-1)x -7
x^2 +7x -x -7
take common from first two terms and from third and fourth term
x(x+7)-1(x+7)
take (x+7) as common
(x+7)(x*1 -1*1)
(x+7)(x-1)
The times taken by 18 people to complete a puzzle are shown
No they aren't
___________
When a number is decreased by 40% of itself the result is 96. What is the number?
Answer:
160
Step-by-step explanation:
96 / (100%-40%) = 96/ (60%)
= 96/0.6 = 160
Q) 96/(100% - 40%)
→ 96/ 60%
→ 96/ 0.6
→ 160 is the number.
What term number will have 400 square in it?
Answer:
400^2 = 160 000
Step-by-step explanation:
The square of a number means the product of a number by itself, while the perfect square ... For example, the number 9 is a perfect square because it can be expressed as a product of ... A square football pitch has a perimeter of 400 meters.
In science class sara needed 8 test tubes for 3 different experiments. The first experiment required 2 test tubes and the other two experiments required the same number of test tubes. How many test tubes were needed for each of the the other two experiments
Answer:
as we know Sara need 8 tube in 3 experiment
she will use 2 tube in 1 experiment
now she have 6 tube in other experiments
so the question said to find how many tube were used in both experiment equally so 3,3 test tube were needed for each of the other two experiment
Step-by-step explanation:
total tube=8 (3 experiment)
used =2tube (1 experiment)
remaining=8-2=6
now ,
dividing 6 into 2 equal part
so,=6/2=3
so 3 tube were used in 2nd experiment and 3in 3rd experiment
You roll a fair six-sided die. What are the chances the die shows an odd number or a number greater than one?
Answer:
4/3
Step-by-step explanation:
Out of the six sides 3 are odd and there's 5 numbers greater than 1. Basically these turn to the fractions 3/6 and 5/6 (these fractions stand for the probability they get rolled on this die).
Since the question says OR and not AND you add these fractions!
3/6 + 5/6 = 4/3
el vector desplazamiento de un objeto en movimiento inicialmente en el origen tiene una magnitud de 12.5 cm y está en un ángulo de 210 grados en relación con el eje de las x en determinado instante Cuáles son las coordenadas del objeto en ese instante ? una pelota rueda con velocidad constante a 2.40 m por segundo con un ángulo de 37 grados en relación al eje de las x del cuadro cuadrante si sabemos que la pelota está en el origen en tiempo igual iniciar cuáles son sus coordenadas x 1.75 segundos
Answer:
hey mate
which laungage is this
Help me please I don't have much time
What is the volume of this figure?
Answer:
[tex]volume = 4 \times 4 \times 4 \\ = {4}^{3} \\ = 64 \: cubic \: ft[/tex]
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
(-3, 1)
(0,0)
Answer:
y=-3x
Step-by-step explanation:
The y intercept is zero because it goes through (0,0)
The slope is -3 because the line goes through -3 at 1, so it goes down 3 on the y axis for every 1 right on the x axis.
5th grade math. correct answer will be marked brainliest
Answer: How are we going to point it?
Step-by-step explanation:
Each edge of a cube is 9 centimeters long. Find the total length of all the edges of the cube.
Answer:
108 centimeters
Step-by-step explanation:
There are 12 edges total.
9 x 12 = 108
find the approximate value of the circumference of a circle with the given radius use part equals 3.14 runner results to one more decimal than the given results 6 ft
c =
18.8 ft
18.8 ft
37.6 ft
37.7 fr
i hat is the slope 6/-10 and 3/-13
Answer:
1
Step-by-step explanation:
Assuming your mean we have the points
(6, -10) and ( 3, -13)
We can use the slope formula
m = (y2-y1)/(x2-x1)
m = ( -13 - -10)/( 3 - 6)
= (-13+10)/( 3-6)
= -3 / -3
= 1
the mean of three numbers is 8 two of the numbers are 6 and 11 work out the third number
show workibf out
Answer:
7
Step-by-step explanation:
To find the number, first multiply 8 by 3, since that is how you find the mean.
8 x 3 = 24 (total)
x + 6 + 11 = 24
x = 24 - 6 - 11
x = 7
Inverse:
7 + 6 + 11 = 24
Mean = 24/3 = 8
Hope this helps!
Why do you think using computer software to do forecasting calculations is almost necessary if you are changing the number of time periods for a moving average or the alpha value for an exponential smoothing calculation
Answer:
There are two major methods of forecasting
One is the Causal method and the 2nd one is the times series method
Causal method mainly tries to find out cause and effect relation between variable and various factors impacting that variable while the time series method infuences the utilization of the historical data and mainly focus to forecast based on the trend present. It simply ignores the other variables. It just tries to give an idea of a trend, it can't predict the impact of other variables as in causal method.
Linear regression analysis can be utilized in both sort of estimating technique. By linear regression analysis we can anticipate effect of different factor on factor variable. It anticipate the pattern, yet additionally gives an idea about connection among variable and different elements affecting it. That is the reason Linear regression is considered as best technique for forecasting.
Presently, going to the next part of this inquiry, Time period utilized in moving normal is settled based on fluctuation showing up in how much period, to smoothen out the variation. Also, Alpha value is chosen dependent on the time span to smoothen out the variation in the information. Changing of time-frame or distinctive alpha will make estimation complex. And furthermore, it will make computation more probabilistic as opposed to deterministic which may create mistake whenever done by manual calculation. That is the reason program are important in such sort of computation
please answer both thank
Answer:
the second one for #4 and the third one for #5
Step-by-step explanation:
4. The sum of x and y is 24, so x+y = 24. The difference is 15, so x-y = 15, or
y-x=15 (they didn't specify which was which). Therefore, A, C, and D are correct, so x = 15-y is the answer (x = 15-y is the same as x+y = 15, which is false).
5.
Matt = 6 apple pies + 4 lemon pies and he got 80 dollars.
Ming = 6 apple pies + 5 lemon pies and he got 94 dollars.
If apple pie is "a" and lemon is "l":
6a + 4l = 80
6a + 5l = 94,
so C is the answer
The total body surface area, or BSA, of a human is difficult to calculate. There are various models that estimate BSA based on a person's weight and height. One simpler model is BSA= wh 3600
where w = weight in kg and h = height in cm.
a. Using this model, estimate the height of a person who weighs 75 kg and whose BSA is 1.9.
Round your answer to the nearest cm.
h = _______ cm
b. Using this model, estimate the weight of a person who is 166 cm tall and whose BSA is 2.2.
Round your answer to the nearest kg.
w= _________kg
Answer:
173 cm
105 kg
Step-by-step explanation:
Given :
BSA= √wh /3600
where w = weight in kg and h = height in cm.
A.)
w = 75 kg ; BSA = 1.9 ; h =?
BSA= √wh /3600
1.9 = √75h /3600
Take the square of both sides
1.9² = 75h /3600
1.9² * 3600 = 75h
12996 = 75h
h = 12996 / 75
h = 173.28 cm
h = 173 cm
B.)
h = 166 ; BSA = 2.2
BSA= √wh /3600
2.2 = √w166 /3600
Take the square of both sides
2.2² = 166w /3600
2.2² * 3600 = 166w
17424 = 166w
w = 17424 / 166
w = 104.96 kg
w = 105 kg
Using the model given, we have that:
a) h = 173 cm.
b) w = 105 kg.
The BSA, for a person of weight w and height h, is given by:
[tex]BSA = \sqrt{\frac{wh}{3600}}[/tex]
Item a:
[tex]BSA = 1.9, w = 75[/tex], hence:
[tex]BSA = \sqrt{\frac{wh}{3600}}[/tex]
[tex]1.9 = \sqrt{\frac{75h}{3600}}[/tex]
[tex]\left(\sqrt{\frac{75h}{3600}}\right)^2 = 1.9^2[/tex]
[tex]\frac{75h}{3600} = 3.61[/tex]
[tex]h = \frac{3600(3.61)}{75}[/tex]
[tex]h = 173[/tex]
Hence:
h = 173 cm.
Item b:
[tex]BSA = 2.2, h = 166[/tex], hence:
[tex]BSA = \sqrt{\frac{wh}{3600}}[/tex]
[tex]2.2 = \sqrt{\frac{166w}{3600}}[/tex]
[tex]\left(\sqrt{\frac{166w}{3600}}\right)^2 = 2.2^2[/tex]
[tex]\frac{166w}{3600} = 4.84[/tex]
[tex]w = \frac{3600(4.84)}{166}[/tex]
[tex]w = 105[/tex]
Hence:
w = 105 kg.
A similar problem, in which there is also an application of a formula, is given at https://brainly.com/question/24348510
What are the x- and y-intercepts for the graph of 3x + y = 15?
x-intercept = −3
y-intercept = 15
x-intercept = 3
y-intercept = 1
x-intercept = −3
y-intercept = 1
x-intercept = 5
y-intercept = 15
Answer:
x-intercept = 5
y-intercept = 15
Step-by-step explanation:
Change the equation to slope-intercept form: y = -3x + 15
You have the y-intercept in that equation already, so you know it's 15. To find the x-intercept, substitute 0 in for y and solve algebraically.
0 = -3x + 15
-15 = -3x
5=x
The sea ice area around the North Pole fluctuates between about 6 million square kilometers in September to 14 million square kilometers in March. Assuming sinusoidal fluctuation, during how many months are there less than 9 million square kilometers of sea ice?
Answer:
there are approximately 5.035 months when there is less than 9 million square meters of sea ice around the North Pole in a year.
Step-by-step explanation:
Given the data in the question;
Let S(t) represent the amount sea ice around the North Pole in millions of square meters at a given time t,
t is the number of months since January.
Now, we use a cosine curve to model this scenario
Vertical shift will be;
D = ( 6 + 14 ) / 2 = 20 / 2
D = 10
Next is the Amplitude;
|A| = ( 6 - 14 ) / 2
|A| = 4
Now, the horizontal stretch factor will be;
B = 2π / 12
B = π/6
Hence;
S(t) = 4cos( π/6 × t ) + 10 ----------- let this be equation 1
Now we find when there will be less than 9 million square meters of sea ice;
S(t) = 9
so we have
9 = 4cos( π/6 × (t-2) ) + 10
9 - 10 = 4cos( π/6 × (t-2) )
-1 = 4cos( π/6 × (t-2) )
-1/4 = cos( π/6 × (t-2) )
so we have;
cos⁻¹( -1/4 ) = π/6 × (t₁-2) -------- let this be equation 2
2π - cos⁻¹( -1/4 ) = π/6 × (t₂-2) -------- let this be equation 3
so we solve equation 2 and 3
we have'
t₁ - t₂ = 6/π × ( 2π - cos⁻¹( -1/4 ) - cos⁻¹( -1/4 ) )
t₁ - t₂ = 6/π × ( 2π - 2cos⁻¹( -1/4 )
t₁ - t₂ = 6/π × ( π - cos⁻¹( -1/4 )
t₁ - t₂ = 6/π × ( π - 104.4775 )
t₁ - t₂ = 6/π × ( π - 104.4775 )
t₁ - t₂ = 5.035
therefore, there are approximately 5.035 months when there is less than 9 million square meters of sea ice around the North Pole in a year.
use the diagram below to find all the missing angles
Answer: M<1=135 M<2=45 M<3=135 M<4=45
Step-by-step explanation:
You collect the following data for explanatory variable A and response variable B:
A(x) B(y)
1 14.2
2 14.9
3 15.5
4 16.8
5 17.8
6 18.9
7 20.1
8 20.9
9 21.5
10 22
You calculate the following summary statistics: x-bar = 5.5, s subscript x = 3.03, y-bar = 18.26, s subscript y = 2.85, and r = .995.
Required:
What's the critical t value you'd use for a 95% confidence interval for the slope of this regression line?
Answer:
v
Step-by-step explanation:
my question is in the document