Answers
Answer:
m = 10, n = [tex]\sqrt{75}[/tex]
Step-by-step explanation:
We know that the value of an altitude of a right triangle is the square root of the values that the altitude split multiplied together (or the square root of the value of the bases multiplied together).
The values here would be 5 and 15. 5 times 15 is 75, so the value of the altitude is the square root of 75. To find the value of m, we can use the Pythagorean theorem, where 5 and n are the legs and m is the hypotenuse. We already know the value of n, so we can plug that into the Pythagorean theorem:
[tex]5^2+(\sqrt{75})^2=m^2[/tex]
We know 5 squared is 25, and the square of the square root of 75 is 75, and 75 + 25 is 100.
[tex]m^2=100[/tex]
This means that m is equal 10, because the square root of 100 is m.
Related Questions
If a track is 400 meters around, how many laps around the track would it take to run 3.1 miles? Round to the nearest tenth. (Hint: 1 foot = 0.3048) WRITE THE DIMENSIONAL ANALYSIS!!!!!!!
Answers
Therefore, we can use something called "dimensional analysis" to convert from laps to meters. We use equivalent quantities to do so. Since 1 lap = 400 meters, we can say
1 = 400 meters / 1 lap.
This gives us a "conversion factor" between laps and meters. Since we know we have traveled 8 laps, we can multiply this by our conversion factor (which we have defined to be equal to 1!):
8 laps * 1 = 8 laps * 400 meters / 1 lap
Now we can cancel words the same way we cancel numbers in a fraction. If we have 4 / 4, we cancel the 4's and get 1. Similarly, in the above we can cancel the "lap" with the "lap" on the bottom of the fraction of the conversion factor. Then we have:
8 laps = 3200 meters
what is the slope of the line?
Answers
Answer:
5/3
Step-by-step explanation:
Use rise over run
it goes up five and goes right three.
If it were to go to the left it would be negative
Same rules apply if it were to go down it would be negative
what is the slope of the line ?
Answers
Answer:
6
Step-by-step explanation:
because I guess it is six line's and that it will definitely be worth it to try it
Given the scatter plot below, write the equation for the line of best
fit in slope-intercept form.
Answers
Answer:
y = 5x + 6
Step-by-step explanation:
lmk if you want an explanation
In 1–2 sentences, explain what should be included in the outline for an argument. Use specific details to support your answer.(2 points)
Answers
It should b noted that the main things that should be included on the outline for an argument include the introduction, body, and conclusion.
The introductory paragraph outlines the topic and provides background information that is important for the readers to understand the argument.
The body paragraphs explain the reasons that support the thesis. It clearly explains why the reader should agree with the position stated.
Lastly, the conclusion restates the thesis and then summarizes the arguments made.
Learn more about essays on:
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Answer:
You can use outline details for each topic and subtopic in your paper organizing, these points so that they can build your argument toward an evidence-based conclusion. Writing an outline will also help you focus on the task at hand and avoid unnecessary tangents, logical fallacies, and underdeveloped paragraphs so you can identify the research problem.
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Solve for x using common denominators. 3 over the quantity 5 times the binomial x minus 4 equals x over the quantity x minus 4 −5 over 3 5 over 3 −3 over 5 3 over 5
Answers
Answer:
(d) 3/5
Step-by-step explanation:
The equation ...
[tex]\dfrac{3}{5(x-4)} =\dfrac{x}{x-4}[/tex]
can be rewritten so that each side has the same denominator. Then the solution can be found by equating the numerators.
[tex]\dfrac{3/5}{x-4} =\dfrac{x}{x-4}\\\\\boxed{\dfrac{3}{5} =x}[/tex]
_____
Additional comment
"Equating the numerators" is equivalent to multiplying both sides by the common denominator. Of course, any value of the variable that makes the denominator zero is excluded from the solution set.
Find the inverse function.
f(x) = -3x +1/2
f-1(x) =
Answers
Answer:
f^-1(x)= -x/3 +1/6
Step-by-step explanation:
So its negative x over 3, plus, 1 over 6
The high temperature is 15.7°F one day. That night, the temperature falls to −18.4°F. What is the change in temperature for the day?
Answers
Answer:
34.1°f
Step-by-step explanation:
just add 18.4 degrees and then that will get you to 0 and add 15.7 which will get you to the temperature in the day
A scale drawing of a house shows a closet with floor dimensions of 4.4 cm by 3.2cm. The scale from the drawing to the actual closet is 2cm for every 1m. WhT is the actual area of the closets floor
Answers
The actual area of the closet floor is 3.52m.
What is a rectangle?A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees.
It has different lengths and widths.
We have,
Closet dimensions:
Length = 4.4 cm
Width = 3.2 cm
We need to convert the unit cm into meters.
We are given that,
2cm = 1m
Multiply 4.4/2 on both sides
4.4 cm = 4.4/2 x 1m
4.4 cm = 2.2 m
Length = 2.2m
Multiply 3.2/2 on both sides.
3.2 cm = 3.2/2 x 1m
3.2 cm = 1.6 m
Width = 1.6m
The actual area of the closet:
= length x width
= 2.2m x 1.6m
= 3.52m
Thus the actual area of the closet floor is 3.52m.
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PLEASE HELP I BEG IMMA FAILLLLLLLLL
An isosceles triangle has two sides that measure 5.6 in. and a side that measures 4.2 in. If the triangle is enlarged such that the two sides measure 20 in, what is the length of the third side?
Answers
Answer:
15
Step-by-step explanation:
If the bigger triangle has the two congruent sides measuring 20, then the ratio of the bigger to the smaller is 20/5.6 This means that the ratio between the third side of the bigger to the third side of the smaller is 20/5.6
Setting a ratio:
20/5.6=x/4.2
Cross multiplying: 84=5.6x
x = 84/5.6 -->12/0.8 --> 15
x = 15
What is the degree of polynomial?
With example!
Answers
Answer:
[tex]\boxed{\mathfrak{Question ~}}[/tex]
What is the degree of polynomial?
[tex]\large\boxed{\mathfrak{Answer}}[/tex]
The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients.
Example:
[tex] {6x}^{4} + {2x}^{3} + 3[/tex]
4x The Degree is 1 (a variable without an
exponent actually has an exponent of 1)
More Examples:
4x^ − x + 3 The Degree is 3 (largest exponent of x)
x^2 + 2x^5 − x The Degree is 5 (largest exponent of x)
z^2 − z + 3 The Degree is 2 (largest exponent of z)
A constant polynomials (P(x) = c) has no variables. Since there is no exponent to a variable, therefore the degree is 0.
3 is a polynomial of degree 0.
Answer:
The degree of a monomial is the sum of the exponents of all its variables.
Example 1:
The degree of the monomial [tex]7y {}^{3} {z}^{2} [/tex] is 5(=3+2)5(=3+2) .
Example 2:
The degree of the monomial 7x is 11 (since the power of x is 11 ).
Example 3:
The degree of the monomial 66 is 0 (constants have degree 0 ).
The degree of a polynomial is the greatest of the degrees of its terms (after it has been simplified.)
please help me asap..!
ty :)
Answers
Answer:
y-inctercept=4, x-intecept=7
Step-by-step explanation:
I did it with the standard to slope again!
[tex]7y=28-4x[/tex]
[tex]y=4-\frac{4}{7}x[/tex]
Now don't get confused here, 4 is the y incetecept, not -4.
When y=0, x=7
UPDATE:
To determine x and y intercept using graph, see where the line intersects at the x or y axis.
my Christmas present to you
Answers
Answer:
TY
Step-by-step explanation:
HELP ME PLEASE GUYS! :)
Answers
First rearrange
5x-8y=-29
5x+29=8y
5/8x+29/8=y
Then sub in your x values
Step-by-step explanation:
5x-8y=-29
5(6)-8(5)
30-40
=-10
no
5(-9)-8(-2)
=-45+16
=-29
yes
5(-3)-8(1)
-15-8
=-23
no
5(0)-8(-4)
=0+32
=32
no
I’m very smart. My hair is dark. I love to eat honey, insects, and bark.
Answers
I don't understand the question your asking
Calculate the measure of angle ADB if angle ACB is 50 degrees.
Answers
Answer:
ADB=50°
Step-by-step explanation:
Angles subtended by the same segment are equal
Therefore,the angle ∠[tex]ADB=40[/tex] degree.
What are the angles?
An angle is a form of geometrical shape, that is constructed by joining two rays to each other at their end-points.
Here given that ∠[tex]ACB=50[/tex] degree and we know alternates angles are equal so ∠[tex]CAD=50[/tex] degree.
And [tex]AD[/tex] is parallel to [tex]BC[/tex].
Therefore, the diagonals of a rhombus are at right angled.
So, ∠[tex]AOD=90[/tex] degree
Now, In Δ[tex]AOD[/tex],
∠[tex]ADO+[/tex]∠[tex]DAO+[/tex]∠[tex]AOD=180[/tex] degree
∠[tex]ADO+50+90=180[/tex]
∠[tex]ADO=+140=180[/tex]
∠[tex]ADO=180-140[/tex]
∠[tex]ADO=40[/tex] degree
or
∠[tex]ADB=40[/tex] degree.
Hence, the angle ∠[tex]ADB=40[/tex] degree.
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a rectangular patio has an area of 198.4 square meters the width of the patio is 16 meters what is the length
Answers
Step-by-step explanation:
the answer thats it 12,4
Answer:
12.4 meters
Step-by-step explanation:
The area is the product of length and width. Fill in the given information in the formula and solve for length.
A = LW
198.4 = L×16
198.4/16 = L = 12.4
The length of the patio is 12.4 meters.
What is the value of this expression? 4/15+3/5−2/3 Quick
Answers
Answer:
I think that would be 1/5
Explanation:
Hope this helps!
-16+5w=-1
solve for w
Answers
Answer:
w=3
Step-by-step explanation:
-16+5w=-1 . add 16 to both sides
5w=15 . divide both sides by 5
w=3
5w= -1 + 16
5w = 15
5 x 5 x 5 = 15
6) A geologist collects rocks. He has three types, sedimentary, metamorphic and
igneous. The ratio of sedimentary rocks to metamorphic rocks is 2:3.
The ratio of metamorphic to igneous is 9:10.
What is the ratio of sedimentary to igneous?
Answers
Answer:
3:5
Step-by-step explanation:
s:m = 2:3
m:i = 9:10
convert m to same number so they are comparable
s:m = 6:9 (multiple so the ratio is still the same as 2:3)
m:i = 9:10 (the same thing as before)
s:i = 6:10
s:i = 3:5 (simplify)
are 6y + 12 and 6 (y + 2) equal?
Answers
Convert -439° to radians
Answers
Answer:
-439° × π / 180°
= -2.4388888889π rad
= -7.6619954163 rad
Step-by-step explanation:
π rad = 180°
If you were to pour marbles into a cup of water, you would make a __________.
A. heterogeneous
B. homogeneous
Answers
Answer:
heterogeneous is the answer
A _______ is a variable, an integer or a product of variables and
integers.
Answers
3 pairs of $23.67 gloves. what is the unit price?
Answers
Answer:
7.89 dollars
Step-by-step explanation:
The unit price would be the price of one pair of gloves.
So divide the total cost by the number of pairs bought.
23.67/3= 7.89
A computer and printer cost a total of $930 . The cost of the computer is two times the cost of the printer. Find the cost of each item.
Answers
Answer:
Computer: $620
Printer: $310
Step-by-step explanation:
c + p = 930
c = 2p
c = cost of the computer
p = cost of the printer
replacing the second eq. in the first eq.
2p + p = 930
3p = 930
p = 930/3
p = 310
from the second eq.
c = 2p
c = 2*310
c = 620
Check
from the first eq.
620 + 310 = 930
WILL MARK BRAINLIST PLS ANSWER ITS VERY IMPORTANT
Answers
Answer:
Step-by-step explanation:
a) 4th
b) 300
c) 2nd and 5th
please help only answer if you're sure it's right will mark brianliest if it's correct
Answers
Answer:
I feel like all of them are wrong, but C. is the one that's closes to being right.
Step-by-step explanation:
As you see, C is the closest to the answer.
x=1 y=2 z=3
So...
1+2=3
2-3=1
^
Is that right?
No, but that one is the only error, the other equations also have errors.
So if there's a button that says none of the above, pick that.
Hope this helped! :)
Find the difference.
17 minus 2 and one-third equals what number?
A. 15 and one-third
B. 15 and two-thirds
C. 14 and two-thirds
D. 14 and one-third
Answers
Answer:
C. 14 and 2/3
Answer:
C
Step-by-step explanation:
17 - 2 1/3
17 -2 -1/3
15 -1/3
14 2/3
If it is given that log2 a= 5 , write the value of a as a power of 2
Answers
In other words, write it in exponential form.
To write a as a power of 2, your log form should be written this way: log_2 (5) = a.
We can then then write it in exponential form showing a as a power of 2.
Here it is:
2^(a) = 5
