Answer:
1.49216*10^8 km
Step-by-step explanation:
The first thing is to pass all the distances to the same unit system, since the distance from the earth to the sun is in kilometers and from the earth to the moon is in meters, therefore we will pass the distance of the moon in kilometers:
3.84 x 10 ^ 8m * 1 km / 1000 m = 3.84 x 10 ^ 5 km
To calculate the distance between the moon and the sun, it would be the difference between the distance they give us in the statement, because they have a point in common which is the earth, it would be:
1.496 x 10 ^ 8 km - 3.84 x 10 ^ 5 km = 149216000 = 1.49216 * 10 ^ 8 km
Therefore the distance between the moon and the sun is 1,49216 * 10 ^ 8 km
Please help me with my question!!
The question is unclear but I will assume they mean 1/4 and 3 1/2.
Find common denominators.
1/4
3 1/2 -> 3 2/4
Turn into an improper fraction.
3 2/4 -> 14/4
Divide.
14/4 / 1/4
14/4 * 4/1
56/4
14
So, they can make 14 ornaments.
Best of Luck!
Which are linear pairs? Check all that apply.
A. ∠DAE and ∠EAD
B. ∠BAC and ∠CAD
C. ∠BAE and ∠EAD
D. ∠EAD and ∠DAC
E. ∠CAE and ∠BAD
Answer:
Options B, C and D
Step-by-step explanation:
Linear pair of angles means sum of the angles of the pair is 180° which are formed at a point of a line.
In other words, pair of supplementary angles is the linear pair.
From the figure attached,
Pair of the linear angles are,
1). ∠BAC and ∠CAD
2). ∠BAE and ∠EAD
3). ∠EAD and ∠DAC
Therefore, Options B, C and D are correct.
Answer:
B, C, and D
Step-by-step explanation:
Awnser needed thank you!
Answer:
Step-by-step explanation:
I think 33°
Answer:
its 34 i think
Step-by-step explanation:
What is the measure of L?
A. 25°
B. Cannot be determined
C. 39
D. 32°
Answer:
A. 25°
Step-by-step explanation:
25° is really the only logical answer.
Find the logarithmic form of 54 = 625
Answer:
4 log 5 = log 625.
Step-by-step explanation:
I am assuming you mean 5^4 = 625
Taking logs
log 5^4 = log 625
4 log 5 = log 625.
asif has a bag of 58 sweets he gives 5 of his sweets to each of his 6 friends how many sweets does he have left
Answer:28 if I’m not mistaken
Step-by-step explanation:
What is the domain of this function. (Could someone explain it too? I wanna be able to do it myself as well)
[tex]answer \\ = - 2 , 2 ,3 , 4 \\ explanation \\ let \: r \: be \: a \: relation \: from \: a \: to \: b. \: then \: \\ the \: set \: of \: first \: components \: or \: the \\ set \: of \: elements \: of \: a \: are \: called \\ domain \: and \: the \: set \: of \: second \\ components \: or \: the \: set \: of \: elements \\ of \: b \: are \: called \: the \: range. \\ hope \: it \: helps[/tex]
Calculate the length of a cuboid whose volume= 342 cubic cm , b= cm and h=9 cm
Answer.if breadth is 1 then length is 38 cm
v= l×b×h
342=l×1×9
342=9l
l=342/9
l=38
____________________________
Breadth=1 cm
Height=9cm
Volume=342cm^3
Length=?
Now,
Volume=l*b*h
or,342=l*1*9
or,342=9l
or,l=342/9
length=38 cm
So the length is 38 cm
Hope it helps
Good luck on your assignment.
_______________________________
What is the perimeter of ABCDE, rounded to the nearest whole number?
Answer:
option B -> 23 units
Step-by-step explanation:
To solve this question we need to find the length of each side, and we can do this finding the distance between the pair of points that make a side, using the formula:
[tex]dist = \sqrt{(x_1 - x_2)^{2} + (y_1 - y_2)^{2} }[/tex]
Where the points are [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex].
So, using the points A = (-4, -2), B = (-1, 2), C = (2, 2), D = (5, -1) and E = (2, -4), we have that:
[tex]AB = \sqrt{(-4 - (-1))^{2} + (-2 - 2)^{2} } = 5[/tex]
[tex]BC = \sqrt{(-1 - 2)^{2} + (2 - 2)^{2} } = 3[/tex]
[tex]CD = \sqrt{(2 - 5)^{2} + (2 - (-1))^{2} } = 4.2426[/tex]
[tex]DE = \sqrt{(5 - 2)^{2} + (-1 - (-4))^{2} } = 4.2426[/tex]
[tex]EA = \sqrt{(2 - (-4))^{2} + (-4 - (-2))^{2} } = 6.3246[/tex]
So the perimeter of ABCDE is:
[tex]P(ABCDE) = AB + BC + CD + DE + EA[/tex]
[tex]P(ABCDE) = 5 + 3 + 4.2426 + 4.2426 + 6.3246 = 22.8098[/tex]
Rounding to nearest whole number we have:
[tex]P(ABCDE) = 23[/tex]
So the answer is the option B.
PLEASE HELP ME According to this diagram, what is cos 23°?
67
13
5
90°
12
12
O
A.
B.
13
12
0
D.
13
E.
5
12
OF.
12
13
Answer:
F. [tex]\frac{12}{13}[/tex]
Step-by-step explanation:
[tex]cos = \frac{adjacent}{hypotenuse}[/tex]
The hypotenuse of a right triangle is the angle that is opposite and not touching the 90 degree angle. In this case, the hypotenuse is 13.
The adjacent side is the side that is touching the angle but not the hypotenuse. That makes the adjacent side in this case 12.
That means that [tex]cos = \frac{12}{13}[/tex].
I hope this helps!
Answer:it’s f.12/13
Step-by-step explanation:
big brain
Solve the proportion 4/x=8/(x-3)
Answer:
x=-3
Step-by-step explanation:
4/x=8/(x-3)
We can solve this using cross products
4 ( x-3) = 8x
Distribute
4x -12 = 8x
Subtract 4x from each side
4x-4x-12 = 8x-12-4x
-12 =4x
Divide each side by 4
-12/4 = 4x/4
-3 =x
Answer:
X=-3
Step-by-step explanation:
Solve it like any other two step equation.
But first we have to have x on its own to get what the x value is
help me agian (**) plzzzzzzzzzzzzzzzzzzzz
Answer:
130%
Step-by-step explanation:
1.3=
130/100=
130%
Hope this helps!
Answer:
130%
Step-by-step explanation:
To express a decimal as a percent, you need to multiply it by 100.
1.3×100=
130
1.3 as a percent is 130%
The proof that AMNS AQNS is shown.
Given: AMNQ is isosceles with base MQ, and NR and MQ
bisect each other at S.
Prove: AMNS AQNS
We know that AMNQ is isosceles with base MQ. So,
MN - QN by the definition of isosceles triangle. The base
angles of the isosceles triangle, ZNMS and 2NQS, are
congruent by the isosceles triangle theorem. It is also given
that NR and MQ bisect each other at S. Segments
are therefore congruent by the definition of bisector. Thus,
AMNS AQNS by SAS.
N
M
о
S
NS and QS
ONS and RS
MS and RS
MS and QS
R
Answer:
The answer is "MS and QS".
Step-by-step explanation:
Given ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. we have to prove that ΔMNS ≅ ΔQNS.
As NR and MQ bisect each other at S
⇒ segments MS and SQ are therefore congruent by the definition of bisector i.e MS=SQ
In ΔMNS and ΔQNS
MN=QN (∵ MNQ is isosceles triangle)
∠NMS=∠NQS (∵ MNQ is isosceles triangle)
MS=SQ (Given)
By SAS rule, ΔMNS ≅ ΔQNS.
Hence, segments MS and SQ are therefore congruent by the definition of bisector.
The correct option is MS and QS
Answer:
D
Step-by-step explanation:
edge
Explain how to find the value of y that would make segment OP parallel to segment LN.
Answer:
[tex]y = 36[/tex]
Step-by-step explanation:
Given; the triangle above
Required
Find y
This question falls under the topic/subtopic similar triangles where we need to make comparison between similar sides'
But first, it should be noted that triangle MOP is similar to triangle MLN
This implies that
Side MP is similar to MN
Side MO is similar to ML
Mathematically; This can be represented as follows;
[tex]\frac{MP}{MN} = \frac{MO}{ML}[/tex]
Where MP =y; MN = y + 18; MO = 28; ML = 28 + 14
Substitute these values in the above expression
[tex]\frac{y}{y+18} = \frac{28}{28+14}[/tex]
[tex]\frac{y}{y+18} = \frac{28}{42}[/tex]
Multiply both sides by 42
[tex]42 * \frac{y}{y+18} = \frac{28}{42} * 42[/tex]
[tex]\frac{42y}{y+18} = \frac{28*42}{42}[/tex]
[tex]\frac{42y}{y+18} = 28[/tex]
Multiply both sides by y + 18
[tex](y+18)*\frac{42y}{y+18} = 28 * (y+18)[/tex]
[tex]42y = 28 * (y+18)[/tex]
Open Bracket
[tex]42y = 28 * y+28 * 18[/tex]
[tex]42y = 28y+504[/tex]
Subtract 28y from both sides
[tex]42y - 28y = 28y - 28y +504[/tex]
[tex]14y = 504[/tex]
Divide both sides by 14
[tex]\frac{14y}{14} = \frac{504}{14}[/tex]
[tex]y = \frac{504}{14}[/tex]
[tex]y = 36[/tex]
Answer:
y= 36
Step-by-step explanation:
also ily, no homo
What is another word for magnitude
Answer:
Step-by-step explanation:
Magnitude means size. Its a scalar quantity which means it is always positive and has no specific direction
Lets say you are driving East at 30 miles per hour. The magnitude would be 30. Same thing for going West. Youre technically going in the negative direction, but the magnitude is still 30
Another word for magnitude is "size" or "extent."
We have,
Magnitude refers to the size, quantity, or intensity of something.
It is a measure of the absolute value or scale of a particular attribute or characteristic.
In various contexts, magnitude can refer to physical quantities such as length, mass, or force, where it describes the amount or extent of that particular quantity.
It can also be used to describe the intensity or severity of events or phenomena, such as the magnitude of an earthquake or the magnitude of a problem.
Essentially, magnitude provides a sense of the relative scale or importance of something within a given context.
Thus,
"size" or "extent." are the other words for magnitude,
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Find the percent increase in volume when 1 foot is added to each dimension of the prism. Round your answer to the nearest tenth of a percent. 100 points!!!
Step-by-step explanation:
4 × 11 = 44
44 × 9 = 396
therefore it is 396ft
Answer:
4 x 11 = 44
44 x 9 = 396
It will be 396 ft
Step-by-step explanation:
At the candy store, M&Ms and Skittles are sold for $0.25 per ounce. Kevita puts some M&Ms in a bag and then added 8 ounces of Skittles. The total cost for her bag of candy is $7.50.
Kevita and Mary write the equation 0.25(x+8)=7.50 to represent the situation, where x represents the number of ounces of M&Ms.
Kevita says that to solve this equation, you first distribute the 0.25 through the parentheses to get0.25x+2=6.50.
Mary says that to solve this equation, you first divide by 0.5 on both sides to get x+8=30
Do you agree with either Kevita or Mary? Why? Finish solving the problem to find out how many ounces of M&Ms Kevita put in her bag of candy.
Answer:
The answer should be 22 ounch Hence,kevita is write but there should be 7.50 not 6.50 in kevita equation
THIS IS 1 QUESTION YEAR 9 MATHS PLEASE HELP ME
Here are five shapes.
Two of these shapes have rotational symmetry of order 2
Write down the letter of each of these two shapes.
(2 marks)
Thank you so much!!!
Answer:
[tex]\fbox{\begin{minipage}{16em}Option D: y = (4/7)x + 8 is correct\end{minipage}}[/tex]
Step-by-step explanation:
(1) A typical form of equation of a line is:
[tex]y = Mx + b[/tex]
with, [tex]M[/tex] is slope and [tex]b[/tex] is y-intercept.
(2) Another straight line has equation in form of:
[tex]y = Nx + c[/tex]
with [tex]N[/tex] is slope and [tex]c[/tex] is y-intercept
(3) If these two lines are perpendicular, according to the property of two perpendicular lines on the two-dimensional plane, we have:
[tex]M[/tex] x [tex]N[/tex] = -1
(4) Transform the given equation of original line into typical form:
[tex]7x + 4y = -24\\[/tex]
<=> [tex]4y = -7x - 24[/tex]
<=> [tex]y = (\frac{-7}{4})x - \frac{24}{4}[/tex]
<=> [tex]y = (\frac{-7}{4})x - 6[/tex]
=> [tex]M = \frac{-7}{4}[/tex]
=> [tex]N = \frac{-1}{M} = \frac{-1}{\frac{-7}{4} } = \frac{-4}{-7} = \frac{4}{7}[/tex]
=> Option D: [tex]y = (\frac{4}{7})x + 8[/tex] is correct (Slope = [tex]\frac{4}{7}[/tex])
Hope this helps!
:)
What is the value of x?
Answer:
x =40
Step-by-step explanation:
x and 4x-20 form a straight line which means they add to 180
x+4x-20 = 180
Combine like terms
5x -20 =180
Add 20 to each side
5x = 200
Divide by 5
5x/5 = 200/5
x =40
Answer:
it just looks confusing sry
Step-by-step explanation:
but im usually good at these but it just looks confusing on this one, but maybe it is A. idk sry good luck
A washing machine requires 27.5 minutes
to wash one load of laundry. A clothes
dryer requires 60% more time than the
washing machine to dry one load of
laundry. What is the total amount of time
it takes to wash and dry one load of
laundry?
Solving for an Unknown Using the Distributive Pro
180(n - 2)/n
when the equation is solved for n, n is equal to a fraction with a denominator
help
Answer:
180(n - 2)/n=m
mn= 180(n-2)
180n-mn= 360
n*(180-m)=360
n=360/(180-m)
Linda made 5 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 5 necklaces was $18.50. If the beads cost $1.50 for each necklace, how much did each pendant cost?
1.50 for beads x 5 necklaces = 7.50
Total.
18.50 -7.50 = 11.00
11.00 / 5 = $2.20 for was pendant
100 Points competitions and whoever finishes this gets 100 points. (ON THE TOP OF QUESTION 12 IS ANSWERS QUESTION ANSWERS TO QUESTION 11 TOO!)
Answer:
1)25%
2)likely
3)1/4
4)46
5)10%
6)I am so sorry I have no clue
7)1/4 or 1/12
8)1/8 or 1/12
9)80%
10)80%
1/15
Step-by-step explanation:
I hope this helps.
Answer:
1)25%
2)likely
3)1/4
4)46
5)10%
6) second choice
7)1/4 or 1/12
8)1/8 or 1/12
9)80%
10)80%
1/15
Step-by-step explanation:
Write each statement as an algebraic expression.The quotient of the number that is 1 greater than a number b and the number that is twice as large as b.
(b+1)/2b
quotient = divided by
we're dividing a number that is 1 more than b (b + 1), with a number twice as large as b (2b).
c) A triangle has one pair of equal sides and one pair of equal angles
What is it called?
Answer:
The answer is Isosceles Triangle.
Solve the inequality.
Answer:
1 1/5 [tex]\geq[/tex] x OR one and on fifth is greater than or equal to x.
Step-by-step explanation:
2/5 [tex]\geq[/tex] x - 4/5
To isolate x, we need to add 4/5 to each side:
6/5 [tex]\geq[/tex] x is what we get
We can simplify it to:
1 1/5 [tex]\geq[/tex] x
Add 4/5 to both sides
X <= 6/5
X <= 1 1/5
5^4=625 in log form pls.
Answer:4log5=4log5
Step-by-step explanation:
Take the log of both sides
log5^4 =log 625
By log log a^b=b loga
4log 5=log5^4
4log5 =4log 5
Expressions and equations can be written in logarithmic forms.
The logarithmic form of [tex]5^4 = 625[/tex] is [tex]\log_5(625) = 4[/tex]
The equation is given as:
[tex]5^4 = 625[/tex]
Take the logarithm of both sides of the equation
[tex]\log(5^4) = \log(625)[/tex]
Apply law of logarithm
[tex]4\log(5) = \log(625)[/tex]
Divide both sides of the equation by log(5)
[tex]4 = \frac{\log(625)}{\log(5)}[/tex]
Apply change of base law of logarithm
[tex]4 = \log_5(625)[/tex]
Rewrite the equation as follows:
[tex]\log_5(625) = 4[/tex]
Hence, the logarithmic form of [tex]5^4 = 625[/tex] is [tex]\log_5(625) = 4[/tex]
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I need to know the answer
Answer:
y=3.65
X=11.85
Step-by-step explanation:
sin(60)=y/12
sin(60)×12=y
y=3.65
sin(30)=X/12
sin(30)×12=X
X=11.85
Mark asked each student in a class to name their favourite colour. For this class, the number of students who said blue is three times the number of students who said green. Write down the ratio of the number of students who said blue to the number of students who said green.
Answer:
3:1
Step-by-step explanation:
Since there are 3 times more blue favorite kids, the ratio is
3:1
The ratio of the number of students who said blue to the number of students who said green is 3 : 1.
What is ratio?The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.
Given:
Mark asked each student in a class to name their favorite color.
For this class,
the number of students who said blue is three times the number of students who said green.
Let n be the number of students who said green.
Then, 3n, the number of students who said blue.
The ratio of the number of students who said blue to the number of students who said green.
= 3n/ n
= 3/1
= 3: 1.
Therefore, the ratio is 3 : 1.
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