45 Points!
The moon forms a right triangle with the Earth and the Sun during one of its phases, as shown below.
A scientist measures the angle x and the distance y between the Earth and the Sun. Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the moon and
the Sun.
Answers
Answer:
by using pythagoras theorem
Step-by-step explanation:
the distance between sun and moon is hypoteneous
the distance between earth and sun is perpndicular
and distance between earth and moon is base
we can use,
tanx°=distance betwwen earth and sun/ distance betweenearth and moon
or,
sinx°= distance between earth and sun/ distance between sun and moon
we can use other formulas also same as above 2 examples
Hope ithelps
Answer:
The scientist can use trigonometry to figure out the distance between the Moon and Sun. More specifically, using sine (sin).
Step-by-step explanation:
Label the triangle first.
- x should be theta
- y would be opposite (o) as it is across/opposite from the side where x is
- the distance between the sun and moon would be hypotenuse (h), as it's opposite of the right angle.
The calculation that has o and h in it's formula is sine. The formula looks like :
Sin(Ф) = [tex]\frac{o}{h}[/tex]
To solve for the distance between the Sun and Moon, we plug it into the formula and solve
Sin(x) = [tex]\frac{d}{y}[/tex]
- where d is the distance between the Sun and Moon
hope this helps !! :D
Related Questions
I have 1/3 of a pie. You have 1/3 of a pie. Add the pieces of pie together. How much pie do we have?
Answers
Answer:
2/3
Step-by-step explanation:
To add fractions add the numbers on top to each other and leave the bottom numbers alone if they are the same number.
[tex]\frac{1}{3}+\frac{1}{3}=\frac{1+1}{3}=\frac{2}{3}[/tex]
what is the median of the data set represented by the box plot shown below? 38,45,50,60,75
Answers
Answer:
50
Step-by-step explanation:
PLS HELP ME ASAP!!!!
Answers
B. x^9
just simplify
What is the ratio of 338 and 508
Answers
RATIO OF 338 : 508
=> 169 : 254
PLEASE HELP!!!!!! WHAT IS THE ANSWER
Answers
Answer:
B
Step-by-step explanation:
Divide y by x for each ordered pair:
2/4 = 1/2
3/6 = 1/2
5/10 = 1/2
7/14 = 1/2
All ratios are equal, so it is proportional.
Answer: B
Answer:
b
Step-by-step explanation:
mark brainliest
PLEASE ILL GIVE 25 POINTS ANS MARK BRAINIEST IF SOMEONE GIVES ME THE RIGHT ANSWER PLEASE PLEASE PLWASE
Answers
Answer:
Circumference: 25.12m
Area: 50.24 [tex]m^{2}[/tex]
Step-by-step explanation:
Formula for circumference of a circle: C=[tex]\pi d[/tex] or C=[tex]2\pi r[/tex] since the diameter is double the radius
C=3.14*2*4=3.14*8=25.12
Formula for area of a circle: A=[tex]\pi r^{2}[/tex]
A=3.14*[tex]4^{2}[/tex]=3.14*4*4=3.14*16=50.24
( NEED HELP ASAP! do not comment links to the answer, Would greatly be appreciative )
For number 1 I already answered it but can you tell me if I got it correct? or not ? and if I did
Not get it right, can u correct me? Thank you :)
Answers
Based on the number of children and tricycle wheels, the ratio of children to tricycle wheels is 10 : 18
Solving ratio problemsNumber of children = 10Number of tricycles = 6Number of wheels per tricycle = 3Total wheels of tricycle = Number of tricycles × Number of wheels per tricycle
= 6 × 3
= 18 wheels
Ratio of children to tricycle wheels = 10 : 18
= 5 : 9
Therefore, the ratio of children to tricycle wheels is 10 : 18
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Please explain as well!
Answers
Answer:
The height of the other book is 2 3/4 inches.Step-by-step explanation:
From the information,we get:
Two stacks of books together are = 7 1/2 inches tall.
One stack is given,that is = 4 3/4 inches.
To Find:
The height of the other.Solution:
Let us assume that the other height of the book be x.
Then the equation will be:
[tex] 4\cfrac{3}{4} + x = 7\cfrac{1}{2} [/tex]
Solve for x to get the other book's height.Convert the mixed fractions to fractions:
[tex] \implies \: \cfrac{19}{4 } + x = \cfrac{15}{2} [/tex]
Subtract 19/4 from both sides:
[tex] \implies \: x + \cfrac{19}{4} - \cfrac{19}{4} = \cfrac{15}{2} - \cfrac{19}{4} [/tex]
[tex] \implies \: x = \cfrac{11}{4} =\boxed{ 2 \cfrac{3}{4} \rm \: inches}[/tex]
Hence, we can conclude that:
The height of the other book is 2 3/4 inches.
The graph of the function f(x)=−4(x−3)2+9 will be a parabola opening in which direction?
Answers
Answer:
downwards
Step-by-step explanation:
the equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
• if a > 0 then parabola opens upwards
• if a < 0 then parabola opens downwards
for
f(x) = - 4(x - 3)² + 9 with a = - 4 < 0 , then
the parabola opens downwards
which function below has the smallest slope?
f(x)
f(x) = 2x - 3
Answers
Answer:
f(x)
Step-by-step explanation:
f(x) is a little represented number after solving for x but
f(x)=2x-3 is more bigger
If a population consisted of 75,000 people surveying 75,000 people from the population could result in a parameter but not a point estimate. True or false?
Answers
Q: Wilma estimates that she’ll drive about 18,000 miles during the year. The car she wants to purchase gets an average of 24 miles per gallon, and the average cost per gallon of gas in her neighborhood is $2.72. Locate the error in her calculations, and select the correction.
A: Wilma made a mistake in step 2. Instead of dividing by 12, she should have divided by 24. She should budget $170 per month for fuel expenses.
Answers
The mistake is made in the second step. The correct steps are given below.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Wilma estimates that she’ll drive about 18,000 miles during the year.
The car she wants to purchase gets an average of 24 miles per gallon, and the average cost per gallon of gas in her neighbourhood is $2.72.
Locate the error in her calculations, and select the correction.
Step - 1
18000 miles/year
18000 miles / 12 months = 1500 miles/month
Step 2
1500 miles/month
1500 miles/month / 24 miles per gallon = 62.5 gallons/month
62.5 gallons/month
Step 3
(62.5 gallons/month) x ($2.72/gallons) = $170 cost/month
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What is 10 to the power of 3.
I would like to thank everyone that asked and answered questions I was stuck on. I graduated last week and couldnt have done it without Brainly.
Answers
Answer:
1000
Step-by-step explanation:
Hello!
10³ can be expanded to 10 x 10 x 10
Multiplying it out, we get 1000.
When multiplying by 10 you basically add a zero to the end, so we add 3 zeroes in total, which gives us 1000.
ExponentsWarning! [tex]x^y[/tex] is not [tex]x*y[/tex]. A very common error.
Instead, picture it as we are multiplying "x" by itself for "y" number of times.
I appreciate your kind comments!
Pls help meee!!!!!!!!!
Answers
Answer: x = 103
Step-by-step explanation:
this is a 90 degree angle indicated by the box in the corner of the angle.
90 degree angles total 90 degrees.
X - 15 + 2 = 90
move the numbers to the other side of the equal sign to isolate the X
by doing the opposite
x = 90 + 15 -2
x = 103
check your work, X - 15 + 2 = 90
103 - 15 + 2 = 90
answer is correct
Two balls are drawn without replacement from a box containing 2black and 3 red balls. What is the probability of drawing a black ball on the second draw? Draw a tree diagram
Answers
The probability that the second ball drawn is black is 4/10 = 2/5
How to find the probability?
There are two cases. The case where the first ball is red is the first one.
The probability of drawing a red ball is equal to the quotient between the number of red balls and the total number of balls.
p = 3/5
Then, the probability of drawing a black ball in the second attempt is computed in the same way, but because we already drew a ball, now the total number of balls is 4, so we have:
q = 2/4 = 1/2.
So the joint probability is:
P = (3/5)*(1/2) = 3/10.
Then we have the case where both balls are black, the probabilities now are:
p = 2/5
q = 1/4
So the joint probability is:
P = (2/5)*(1/4) = 1/10
The total probability is the sum of the two above:
probability = 3/10 + 1/10 = 4/10.
The probability that the second ball drawn is black is 4/10 = 2/5
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I need help with question 24
Answers
Answer:
D
Step-by-step explanation:
angle ABC=angle ADC
angle BAC=angle DCA
AC=CA
Use the net to determine the total surface area.
134.4 in
92.8 in
103.2 in
72 in
Answers
7x^2+3y^2+12x+2y-6=0 Help me find the value of a,b,c and the discriminant number
Answers
Answer:
b o a h d
Step-by-step explanation:
1*5 3%9 46% &45 that is the answer
HI HELP PLEASE
The height of female students in Cromartie High is normally distributed. If 95% of females are
between 57.6 and 70.4 inches tall centered about the mean, find the average height and standard
deviation for female students at Cromartie High.
Answers
Using the Empirical Rule, it is found that the mean is of 64 inches and the standard deviation is of 3.2 inches.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.The normal distribution is symmetric, hence the mean is given by:
M = (57.6 + 70.4)/2 = 64.
57.6 is two standard deviations below the mean, hence the standard deviation is found as follows:
57.6 = 64 - 2s.
2s = 6.4
s = 3.2.
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When there is no traffic, it takes Rina 4 hours to get from Boston to New York. Once, Rina started her trip to New York at a speed of 60 mph, but after 2 1/3 hours of driving she stopped for 40 minutes. She had to drive at a speed of 45 mph for the rest of her trip. How long was her trip?
Answers
The whole trip was 0.185 Km or 185 m long.
What is speed ?Speed is the time rate at which an object is moving along a path.
Given:
For 7/3 hours speed is = 60 mph = 0.06 kmph
For 40 minutes or 2/3 hours = 0 mph
for 1 hours = 45 mph or 0.045 kmph
The total distance she travels
= 7/3*0.06+ 2/3*0+ 1*0.045
=0.185 Km or 185 m
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help pleaseeeeeeeeee
Answers
(X-6)(X+4)=0
X= 6 or X =4
Drag and drop a power into each box to match its number.
1,000 --- ( )
10,000 --- ( )
1,000,000 --- ( )
(10^2) (10^3) (10^4) (10^5) (10^6)
Answers
The match of the expressions are:
1,000 --- (10^2) 10,000 --- (10^4) 1,000,000 --- (10^6) How to rewrite the numbers as powers?The numbers are products of 10.
This means that the numbers can be represented as exponents, where the base is 10 and the exponent is the number of zeros.
Using the above highlight, we have:
1,000 --- (10^2) 10,000 --- (10^4) 1,000,000 --- (10^6)Read more about powers and exponents at:
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Beth gets a sum of 5 when she rolls two fair number cubes. What is the probability that one of the fair number cubes is a 1?
Answers
Using it's concept, it is found that there is a 0.5 = 50% probability that one of the fair number cubes is a 1.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
The outcomes of the pair of cubes that result in a sum of 5 are as follows:
(1,4), (2,3), (3,2), (4,1).
Of those 4 outcomes, 2 involve a number 1, hence the probability is given by:
p = 2/4 = 0.5.
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The Smith family pays a rate of 27 mills in property tax. The assessed value of their home is $98,000. What is their property tax?
Answers
Their property tax would be =$ 26,460
Calculation of property taxA mill is one-thousandth of a dollar, and in property tax terms is equal to $1.00 of tax for each.
Therefore 27 mills = $27 for every $1,000 of assessed value, or 2.7%.
To calculate the property tax would
= 27/100× 98,000
= 2646000/100
=$ 26,460
Therefore, Their property tax would be =$ 26,460
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Bill is making a movie and needs to cast some actors. There are 5 actors ( Anne, Lisa, Diana, Maggie, and Susan ) interested in playing the female lead role, and 2 actors ( Jacob and Mark ) interested in playing the male lead role. Anne and Mark are Bill's siblings. What is the probability Bill will cast a family member in the movie?
Answers
Answer:
2 out of seven or 2/7 or 28.5%
Step-by-step explanation:
there are two "yeses" out of 7 total choices
What is the radius of the circle with center at (-6, -4) that goes through the point (1, -7) rounded to the nearest tenth?
Answers
Answer:
dhususbdgdg
Step-by-step explanation:
hdhakuxtsjwkbevdvsiw in e
Write the standard form of the equation of the circle with the given characteristics.
Center: (0, 0); Radius: 2
Answers
To determine the equation of a circle, use the standard form of a circle (x - h)² + (y - k)² = r² where,
(h, k) is the center; andr is the radiusSubstitute the values of the center and radius to the standard form.
Given:
(0, 0) - center
2 - radius
(x - h)² + (y - k)² = 2²(x - 0)² + (y - 0)² = 4x² + y² = 4Answer:
The equation of the circle is x² + y² = 4.Wxndy~~
Subtract 5x - 4 from the sum of -3x - 4 + y and 4x - y
Answers
Answer:
-4x
Step-by-step explanation:
((-3x-4+y) + (4x-y)) - (5x-4)
= (-3x-4+y+4x-y) - 5x+4
= (x-4) -5x+4
=x-4-5x+4
=-4x
A soda factory makes 9 flavors of soda. Each case of soda has 5 cans of each flavor. They produce enough soda to fill 7 cases per hour, 14 hours a day. How many cans of soda does the factory produce in 6 days?
Answers
26,460 cans of soda
Step-by-step explanation:
First times 9 and 5 together then times 7 with it then times 14 then times 6 and you should end up with 26,460
Which of the following functions best fits the data shown in the scatterplot below? y=100x+2y is equal to 100 x plus 2 y=20x2+10y is equal to 20 x squared plus 10 y=4x+8y is equal to 4 to the x th power plus 8 y=2x+5y is equal to 2 to the x th power plus 5
Answers
The equation of the scatter plot is (a) y = 100x + 2
How to determine the equation of the scatterplot?The line of best fit of the scatter plot passes through the points
(x,y) = (0,2) and (1,102)
Start by calculating the slope using:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{102 - 2}{1 - 0}[/tex]
m = 100
The equation is then calculated as:
y = m(x - x1) + y1
This gives
y = 100(x -0) + 2
Evaluate
y = 100x + 2
Hence, the equation of the scatter plot is (a) y = 100x + 2
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