Answer:
7.6
Step-by-step explanation:
From the graph, we know the lengths of two legs.
a = 3
b = 7
Knowing this, we can use the Pythagorean Theorem to solve for c, the hypotenuse. (remember, a^2 + b^2 = c^2)
c = √a2 + √b2
= √(7)2 + √(3)2
= √49 + √9
= √58
= 7.6
Answer:7.6
Step-by-step explanation:
trieste dove to a record depth of 37,800 feet. the record set previously on january 7th of the same year was 13800 feet less than the dive on january 23rd. what was the record set on january 7th in relation to the sea level
The record set on January 7th in relation to the sea level is calculated as [tex]24,000[/tex] feet.
Non-real numbers are what?The term "not real" or "non-real" refers to imaginary and unreal numbers. The number line cannot display non-real numbers. A "actual" and practical idea, infinity. Infinity, on the other hand, is not a number on the real number line since it is not a part of the mathematically defined set of "real numbers." When measuring continuously fluctuating quantities like size and time, real numbers are utilized.
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Whats the missing side length answer
Find the missing value to the nearest hundredth. COS x = 7/14 *
Answer:
the cosine of x is 60
Step-by-step explanation:
Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solution. The equation 0.10x + 0.15(50 – x) = 0.12(50) can be used to find the amount of 10% alcohol solution Bruce should use.
The amount of 10% alcohol solution in 50 ml alcohol solution is 30ml and amount 15% alcohol solution is 20ml.
In the given question
Bruce wants to make 50ml solution with 12 % concentration.
and he has 10% and 15% alcohol solution for that .
Let the amount of 10% alcohol solution = x
Let the amount of 15% alcohol solution = y
Given that x+y=50 ...(i)
According to the question the equation to find the 10% solution will be
0.10x + 0.15(50 – x) = 0.12(50)
Solving further we get
0.10x + 7.5 - 0.15x = 6
-0.05x + 7.5 = 6
-0.05x = 6 - 7.5
-0.05x = -1.5
x = -1.5/-0.05
x=30
So , 10% solution is 30 ml
Substituting the value of x=30 in equation (i) we get
30 + y = 50
y = 20
So , 15% solution is 20 ml
Therefore , the amount of 10% alcohol solution in 50 ml solution is 30ml and amount 15% alcohol solution is 20ml.
The given question is incomplete , the complete question is
Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solution. The equation 0.10x + 0.15(50 – x) = 0.12(50) can be used to find the amount of 10% alcohol solution Bruce should use.
How much of the 10% alcohol solution should Bruce use?
How much of the 15% alcohol solution should Bruce use?
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Which equation describes the line that contains (1,5) and has a slope of 2?
A. y= 2x - 3
B. y = 2x - 9
C. y = 2x + 9
D. y = 2x + 3
Answer:
D. y = 2x + 3
Step-by-step explanation:
[tex]y - 5 = 2(x - 1) \\ \\ y - 5 = 2x - 2 \\ \\ y = 2x - 2 + 5 \\ \\ y = 2x + 3[/tex]
Which expression is the result of factoring the expression below by taking out its greatest common factor?
Answer:
A)3(2x²-x+4)
Step-by-step explanation:
Which phrase should be inserted on the line to correctly compare the two fractions? Use the models to help.
Four-fifths blank line StartFraction 16 Over 20 EndFraction
Four-fifths
A model has 4 shaded parts and 1 unshaded part.
StartFraction 16 Over 20 EndFraction
A model has 16 shaded parts and 4 unshaded parts.
1. is greater than
2. cannot be compared to
3. is less than
4. is equal to
Answer:
it is equal to it
Step-by-step explanation:
4 times four is sixteen four times five means that it if four fifths
Answer:
4
Step-by-step explanation:
Did it on edgeunity! Gl
Use identities to solve each of the following. Rationalize denominators when acceptable.
Answer:
-4/5
Step-by-step explanation:
Since theta is in quadrant II, we can visualize a triangle with two acute angles at (0,0) and (-x, 3). The distance between the two acute angles is 5 (hypotenuse), so using the Pythagorean Theorem, x = sqrt(5^2 - 3^2) = sqrt(16) = 4. Therefore the hypotenuse is 5, opposite is 3, and adjacent is -4.
COS = ADJ/HYP = -4/5
Answer:
[tex]\cos \theta =-\frac{4}{5}[/tex]
Step-by-step explanation:
We are given:
[tex]\sin \theta =\frac{3}{5}[/tex]
Then
[tex]\cos^{2} \theta =1-\sin^{2} \theta[/tex]
[tex]= 1 - (\frac{3}{5} )^2[/tex]
[tex]= 1 -\frac{9}{25}[/tex]
Then
[tex]\cos^{2} \theta =\frac{16}{25}[/tex]
Then
[tex]\cos \theta =\sqrt{\frac{16}{25} }\ \ \text{or}\ \ \cos \theta =-\sqrt{\frac{16}{25} }[/tex]
We know that θ is in Quadrant 2.
Then cos θ < 0.
Therefore
[tex]\cos \theta =-\sqrt{\frac{16}{25} }[/tex]
[tex]= -\frac{4}{5}[/tex]
What is the radian equivalent for 180 degrees ?
Answer:
π 3.142?
Step-by-step explanation:
Where is the blue dot on the number line?
1.05
1.1 1.15
Answer:
more details
Step-by-step explanation:
BRAINLIEST HELP
When Alice returns from America, she has $90 left. If she changes this back to pounds
how many pounds will she get?
Give your answer to 2 decimal places.
Exchange rate= 1 GBP= 1.5 USD
Answer:
£60
Please vote for Brainliest and I hope this helps!
OKAY, PEOPLE BIG NEWS AS I HAVE ALREADY MADE CLEAR I GOT EXAMS NEXT WEEK!!! I JUST GOT THE UPDATE AND ON MY MATH EXAM AND ITS 31 QUESTIONS FREAKING HARD AND ON THE ENGLISH 45 FREAKIN HARD QUESTIONS!!!! I DONT KNOW THE SPECIFICS ON THE BIOLOGY BUT I KNOW ITS GONNA BE BIG AND HARD!!!! I AM FAILING I REALLLLYYY NEED THISSS PASS RIGHT HERE SO, PEOPLE HERES HOW ITS GONNA GO: WHEN I POST A QUESTION I WILL NEED A CORRECT AND RIGHT ANWSER QUICKLY! I WILL NEED HELP PLEASEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!.
I JUST WANNA PUT THAT OUT THERE FOR HEADS UP
Answer: wow thats a lot of questions
Step-by-step explanation:
Answer:
I'll try to do my best man, with all of my warnings
Step-by-step explanation:
compare 5_5.4 by choosing <,>,or =
Answer: five is < than 5.4
HEEELLLLPPP!!!! PLZZZZ!!!! THANK U!!!
(5 screenshots included)
4) Alice went to market and bought comics. The table below shows the price for different numbers of comics. Do the numbers in the table represent a proportional relationship? Number of Comics 2 4 Price (Dollars) 6 12 16 24 6 8.
Answer:
400
Step-by-step explanation:
EE
Sports its in the game
Can you help me thank you :)
Answer:
16
Step-by-step explanation:
[tex]\sqrt{121}[/tex] + [tex]\sqrt[3]{125}[/tex]
= 11 + 5
= 16
Two planes leave the airport at noon, one traveling east at 300 km/h and the other traveling northwest at 45 km/h. How far apart are they at 2 pm?
Answer:
690 miles
Step-by-step explanation:
Step one:
given data
For the first plane
the velocity is 300km/h
from noon (12:00) to 2pm is= 2 hours
the distance covered is expressed using the formula
velocity= distance/time
distance= velocity*time
distance= 300*2
distance= 600 miles
For the second plane
the velocity is 45km/h
from noon (12:00) to 2pm is= 2 hours
the distance covered is expressed using the formula
velocity= distance/time
distance= velocity*time
distance= 45*2
distance= 90 miles
Step two:
the total distance apart is the sum of the individual distances covered by the planes
= 600+90
=690 miles
across which axis was point A reflected
Answer:
When point A with coordinates (0, -1) is reflected across the x-axis and mapped onto point A', the coordinates of A' will be (0, 1).
i.e A'(0, 1) is the image of point A after a reflection.
Hence, point A is reflected across the x-axis.
Step-by-step explanation:
When we reflect a point A across the x-axis, the value of 'y' gets negated, but the value of 'x' remains unchanged.
In other words, when point P with coordinates (x, y) is reflected across the x-axis and mapped onto point P', the coordinates of P' will be (x, -y).
Thus, the rule is:
P(x, y) → P'(x, -y)
Thus, when point A with coordinates (0, -1) is reflected across the x-axis and mapped onto point A', the coordinates of A' will be (0, 1).
i.e A'(0, 1) is the image of point A after a reflection.
Hence, point A is reflected across the x-axis.
given a point A is on a coordinate plane in quadrant I. if it is rotated 90° counter clockwise then reflecred across the y axis. What quadrant will point A be in
Answer:
quadrant I
Step-by-step explanation:
after the rotation will be in quadrant ll, then reflected back into quadrant I
PLEASE HELP MY ASSIGNMENT IS DUE IN LESS THAN A HOUR!!!
Answer: x ≈ 44
because ΔHIJ is a right triangle at J
=> sin x = 47/68
=> x ≈ 44°
Step-by-step explanation:
Monthly Salary = $325
Commission = 4.5%
Sales = $1,200
How much money made?
Multiply commission percentage by sales and add to the salary.
1200 x 0.045 = 54
325 + 54 = 379
Total made = $379
The thickness of the mats used in the rings, parallel bars, and vault events should be 8.25 inches, give or take 0.75 inches. Write an absolute value inequality describing the range of acceptable mat thickness
Answer:
1x-7.875 *is les than symbol* 0.375
Step-by-step explanation:
What percentage of take-home pay is spent on housing, property tax, and insurance? (round to the nearest whole percent)
31%
45%
47%
57%
Answer:
31%
Step-by-step explanation:Ive got no idea why, I just know the answer lol.
Drag and drop the correct angle measures onto the diagram!!! HELP THIS IS URGENT
Which equation described a line parallel to the line that connects points (-8 ,9) and (3, -4)?
Answer:
y = (-13/11)x - 5/11
Step-by-step explanation:
Where's the list of equations from which you're to choose?
The line that connects points (-8 ,9) and (3, -4) has the following slope:
9 - (-4)
m = ----------------- = -13/11
-8 - 3
Then the new line with this slope is y = (-13/11)x + c
and because (-8, 9) satisfies this equation, 9 = (-13/11)(-8) + c, and we need to calculate c from this. 9 = 104/11 + c, or
-c = 104/11 - 99/11, or - 5/11
Then the desired equation is y = (-13/11)x - 5/11
Karen performs a transformation on parallelogram ABCD that is plotted on a coordinate grid to form parallelogram A'B'C'D'. The image of
each point is shown in the table below.
Image
Original
Point
| A(-4,-1)
B (-7,-6)
C (-14, -6)
D(-11, -1)
(1.-4)
(6.-7)
(6.-14)
(1.-11)
Which best describes the transformation Karen performed?
A.reflection over the y-axis
B.dilation of scale factor
-1/4
C.counterclockwise rotation of 90 degrees about origin
D.translation of 5 units to the right and 3 units down
Answer:
its c
Step-by-step explanation:
took the test
Karen performed a transformation of (C) counterclockwise rotation of 90 degrees about origin
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
If a point A(x, y) is rotated 90° counterclockwise about the origin, the new point is at A'(-y, x).
Parallelogram ABCD has vertices at A(-4,-1) , B (-7,-6) , C (-14, -6) , D(-11, -1), if it is rotated 90° counterclockwise about the origin, the new point would be at A'(1.-4) , B'(6.-7), C'(6.-14) , D'(1.-11)
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A produce store offers red and green apples. In one morning they sold 52 apples total .If 20 of the apples they sold were red , what is the ratio of green apples sold to red apples sold?
If the store sold 52 apples total and 20 of the apples they sold were red, then the ratio of green apples sold to red apples sold is 8:5
Given,
The total number of apples sold in the morning= 52 apples
Number of red apples sold = 20 apples
Number of green apples sold = Total number of apples sold - Number or red apples sold
Then,
Number of green apples sold = 52-20=32
The ratio of green apples sold to red apples sold = 32:20
We have find the simplest form
[tex]32:20= \frac{32}{20}[/tex]
Then, divide both numerator and denominator by 4
[tex]\frac{32}{20}=\frac{8}{5}[/tex]
The ratio = 8:5
Hence, if the store sold 52 apples total and 20 of the apples they sold were red, then the ratio of green apples sold to red apples sold is 8:5
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divide milk and coffee, each person gets the same amount of milk coffee but different proportions, one of them has 1/ 4 cups of coffee and 1/6 of milk, for a total of 8 oz. what is the total number of people?
The possible number of person is 5.
Linear equation: an equation in which there is only one variable present. It is of the form Ax + B = 0, where A and B are any two real numbers and x is an unknown variable that has only one solution
Let,
The total amount of coffee= c
The total amount of milk = m
Total number of person = p
according to the question, c and m can't be .
Given,
Total amount of milk and coffee is 8 oz.
so,
[tex]\frac{c}{4} +\frac{m}{6} =8\\[/tex]
[tex]\frac{3c+2m}{12} =8[/tex]
So, this is linear equation.
3c+2m=8×12
[tex]$$ \\$3 \mathrm{c}+2 \mathrm{~m}=96$[/tex]
and
[tex]\eq[/tex][tex]c+m=8p[/tex]
2(c+m) = 8p×2
[tex]2c+2m=24p[/tex] ...(2)
By equation 1 and 2
[tex]3c+2m=96\\ 2m=96-3c\\ 2c+2m=16p\\ 2c+96-3c=16p\\96-c=16p\\96=16p+c\\[/tex]
16p and 96 both are divisible by 16
So, let c =16k
Now 3c+2m =96
3(16k) +2m= 96
48k =2m= 96
k can't be 0, otherwise c is 0 and k cannot be 2, otherwise m is 0. Therefore k must be 1,
[tex]48+2m=96\\2m=96-48\\2m=48\\m=\frac{48}{2} \\m=24[/tex]
BY putting m=24 in equation (1)
[tex]3c+2m=96\\3c+2(24)=96\\3c+48=96\\3c=96-48\\3c=48\\c=\frac{48}{3} \\c=16[/tex]
Therefor, the number of person is 5
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355,348,341 whats the 38 the term
The 38th term of the Arithmetic Progression (355, 348, 341, ...) will be 36.
As per the question statement, we are provided with a series of numbers such as (355, 348, 341, ...)
We are required to calculate the 38th term of the above mentioned series.
To solve this question, first we are required to identify the nature of the series. We can see that, the consecutive terms have a common difference between them, i.e.,
[tex](355-348)=7\\(348-341)=7[/tex]
Therefore, the given series is an Arithmetic Progression (A.P.). Thus, we need to know the formula to calculate a certain nth term of an A.P. which goes as
[tex]T_{n}=[a+(n-1)d][/tex],
Where, "Tₙ" is the nth term required,
"a" is the first term of the A.P.,
And, "d" is the common difference between every pair of consecutive terms of the A.P.
In this case, (a = 355), (n = 38) and {d = (-7)}. Then, using these values in the above mentioned formula, we get,
[tex]T_{38}=[355+(38-1)(-7)]\\ or, T_{38}=355+[37*(-7)]\\or,T_{38}=355+(-259)\\or, T_{38}=(355-259)\\or,T_{38}=96[/tex]
Hence, the 38th term of the Arithmetic Progression (355, 348, 341, ...) will be 36.
Arithmetic Progression (A.P.): This is a sequence of numbers in order, where the difference between any two consecutive numbers is always constant.To learn more about Arithmetic Progressions, click on the link below.
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Explain the process to solve the equation. Use proper vocabulary in your explanation.
One-fourth x = negative five-eighths plz help
9514 1404 393
Answer:
x = -5/2
Step-by-step explanation:
The equation ...
[tex]\dfrac{1}{4}x=-\dfrac{5}{8}[/tex]
is a "one-step" linear equation. It has a variable term on one side of the equal sign and a constant term on the other sided of the equal sign. It is solved by multiplying both sides of the equation by the reciprocal of the coefficient of the variable. The variable coefficient is 1/4, so you multiply by the reciprocal of that, 4. Multiplying by this value causes the coefficient of the variable to become the multiplicative identity element, 1. Both sides of the equation are multiplied by this value in accordance with the multiplication property of equality. That way, the variable value is not changed. Then the equation becomes ...
[tex]\dfrac{4}{4}x=-\dfrac{5\cdot4}{2\cdot4}\\\\x=-\dfrac{5}{2} \qquad\text{simplified}[/tex]
After simplifying the coefficient and the constant, the solution is found to be x = -5/2, or x = -2 1/2.
Your goal is to isolate the x. This is a multiplication problem, so use the inverse operation, which is division. Divide both sides of the equation by
1
4 by multiplying by the reciprocal, 4. (−
5
8)(4) is −
5
2. Use substitution to check the answer. x = −
5
2