Answer: Angle B= 31.6
Step-by-step explanation:
Use SOH CAH TOA
TanB=14.1/22.9
If ABC= AMNO and AMNO= APQR, then ABC= APQR by the transitive
property
8
E
A
N
0
O
P
R
A. True
B. False
Answer:
True
Step-by-step explanation:
It's true by the transitive property of equality which is
If A=B and B=C then A=C
I need help pls ill give brainliest if u help me.
Determine whether or not the equations represent a direct variation . Sort the equations into the appropiate category.
Answer:
Direct variation: y = 3x, y = (2/7)x, and -0.5x = y
Not direct variation: x = -1, y = 2.2x + 7, and y = 4
Step-by-step explanation:
We know that the equation for direct variation is y = k · x, where you can fill in for k whatever number you want.
So, let’s figure this out by looking at the equations.
Equation 1: y = 3x
We know this is a direct variation equation because it all fits together and the 3 is a substitute for the variable, k.
Equation 2: x = -1
This is not an example of direct variation because:
1) the variable by itself on one side is x, when it is supposed to be y
2) there is only one number, -1, when instead it should say, -1x.
Equation 3: y= (2/7)x
This is an example of direct variation because the 2/7 is filling in for the k, and everything else matched the direct variation equation.
Equation 4: -0.5x = y
Since it doesn’t matter on which side y is, let’s just turn the equation around to make it simpler.
Now we have:
y = -0.5x
This makes sense because we have everything a direct variation equation needs to have plus the -0.5 substituting in for the k.
Equation 5: y = 2.2x + 7
This is also not an example of direct variation because although it has practically everything that an equation with direct variation has to have, it has that extra 7 there that ruins the equation.
Equation 6: y = 4
This is not an example of direct variation because there is no variable x in here! We have a k, but not an x!
Hope this helps! :)
The equations represent Direct variation are y = 3x, y = (2/7)x, and -0.5x = y
The equations represent Not direct variation: x = -1, y = 2.2x + 7, and y = 4
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We know that the equation for direct variation can be written as;
y = kx,
Equation 1; y = 3x
This is a direct variation equation because the 3 is a correct value for the variable, k.
Equation 2: x = -1
This is not an example of direct variation because the variable by itself on one side is x, when it is supposed to be y at that place.
Equation 3: y= (2/7)x
This is direct variation because the 2/7 is filling in for the k.
Equation 4: -0.5x = y
Since it doesn’t matter on which side y is, then just turn the equation around to make it simpler.
Now we have;
y = -0.5x
This is a direct variation equation that needs to have plus the -0.5 substituting in for the k.
Equation 5: y = 2.2x + 7
This is also a direct variation because although it has practically everything that an equation with direct variation has to have, it has that extra 7 there that ruins the equation.
Equation 6: y = 4
This is not an example of direct variation because there is no variable x. We have a k, but not an x!
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Giving brainliest for correct answer
A 17-foot ladder is leaning on a tree. The bottom of the ladder on on the ground at a distance of 8 feet from the base of the tree. The base of the tree and the ground form a right angle as shown.
[ not drawn to scale ]
What is the distance, in feet, between the ground and the top of the ladder?
Answer:
15 feet
Step-by-step explanation:
Since, it's a right triangle, we will use the Pythagorean theorem formula:
[tex]a^2+b^2=c^2[/tex]
a and b are the straight sides and c is the ladder (hypotenuse).
[tex](8)^2+b^2=(17)^2[/tex]
Solve for [tex]x[/tex]:
[tex]64+b^2=289[/tex]
[tex]b^2=225[/tex]
[tex]\sqrt{b^2} =\sqrt{225}[/tex]
[tex]b=15[/tex]
The distance between the ground and the top of the ladder is 25 feet.
what is Pythagoras Theorem?The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
According to the Pythagoras theorem, the square of the hypotenuse of a triangle, which has a straight angle of 90 degrees, equals the sum of the squares of the other two sides.
Given:
Hypotenuse= 17 foot
Base = 8 feet
Now, using pythagoras theorem
H² = P² + B²
17² = P² + 8²
289 - 64 = P²
P= √225
P= 25 foot
Hence, the distance between the ground and the top of the ladder is 25 feet.
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Which of the following shows 21/35 as a simplified fraction?
A. 1/5
B. 2/3
C. 3/5
D. 1/3
The right answer is 3/5
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
3/5
Step-by-step explanation:
divide by 7/7 and u get 3/5
Hm anyone out there to help?
Answer:
i say 2
Step-by-step explanation:
i may be wrong
sorry:(
Answer:
Its 2 I think
Due in 3 mins please help!!!
Answer:
a=100 sq. cm.
Step-by-step explanation:
a= l×w
a=10×10
a=100
PLEASE HELP ILL GIVE BRANLIEST!!! ( and 50 points! )
Robert has a collection of nickles, dimes, and quarters. The total value of the coins is $8.50. He has 3 times as many nickles as dimes, and 10 more quarters than dimes. How many of each coin does he have.
Answer:
As we know:
A nickle is worth 5 cents.
A dime is worth 10 cents.
A quarter is worth 25 cents.
Here is what Robert had:
Number of nickles (a)
Number of dimes (b)
Number of quarters (c)
Here is assumption:
5a + 10b + 25c = 850
a = 3b
c = b + 10
=> 5(3b) + 10b + 25(b + 10) = 850
=> 50b + 250 = 850
=> 50b = 600
=> b = 600/50 = 12
=> a = 3b = 3 x 12 = 36
=> c = b + 10 = 12 + 10 = 22
=> Number of nickles: 36
=> Number of dimes: 12
=> Number of quarters: 22
Hope this helps!
:)
Help me I’m. It big brain
Answer:
A 35
Step-by-step explanation:
75-40=35
The right answer is 35.
look at the attached picture
Hope it will help you
Good luck on your assignment
Solve for x, -3x + 8 < 23
。☆✼★ ━━━━━━━━━━━━━━ ☾
-3x + 8 < 23
- 8 on both sides
-3x < 15
/ -3 on both sides
x > -5
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。☆✼★ ━━━━━━━━━━━━━━ ☾
Answer:
It is x > -5
Step-by-step explanation:
Equation: -3x + 8 < 23
First, we have to move the constant to the other side. By moving it to the other side, the sign also changes becoming -3x < 23 - 8.
Now we simplify: 23 - 8 becomes 15
New equation: -3x < 15
Finally, we want the X by itself, and to do that, we must divide -3 to both sides. Keep in mind that when we multiply or divide, the sign '<' also changes.
[tex]\frac{-3x}{-3}[/tex]<[tex]\frac{15}{-3}[/tex] = x > -5
A retail shop is replacing their flooring
with laminate wood. The floor plan is shown
below. Determine the total square feet of
laminate wood needed to complete the the job.
25 ft
8 ft
5 ft
25 ft
35 ft
Answer:
1075 ft^2
Step-by-step explanation:
The figure shows two rectangles. In order to get the two areas, we should be able to find the area of each and add them together.
The formula of the area of the rectangle = L * W
First rectangle [tex]= 25 * 8[/tex] = 200
Second rectangle = 25 * 35 = 875
Adding them together would yield 1075 sq ft.
Hope this helps
What are the numerical measures of each angle in the diagram?
X is 10 so both angles are 29. This means that the other angles are 151 because the whole thing must add up to 360.
Plz help, thank you!!!
A big cruise ship dropped anchor off the caribbean island of Antigua. The heavy anchor dropped into the water at a rate of 2.5 meters per second. After 45 seconds, the anchor was 40 meters below the waters surface
Answer:
72.5 meters
29 seconds
Step-by-step explanation:
PLEASE HELP ME with this question!!
Answer:
b) x=13
Step-by-step explanation:
first divide 10 by 2 to get the base of one side of the triangle
the answer will be 5
Then using the Pythagorean theorem
a2+b2=c2
12^2+5^2=169
the square root of 169 will be 13
What is the equation of the line that has a slope of 3 and passes through the point (1, –2)?
Answer:
y = 3x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 3 , thus
y = 3x + c ← is the partial equation
To find c substitute (1, - 2) into the partial equation
- 2 = 3 + c ⇒ c = - 2 - 3 = - 5
y = 3x - 5 ← equation of line
Graph y=−83x+9.
Identify the x-intercept.
Answer:
x-intercept=-74
Step-by-step explanation:
for x-intercept (y=0)
y=83x+9
0=83x+9
-83x=-0+9
-83x=9
x=9/-83
x=-0.1
Answer:
x = -27/8
Step-by-step explanation:
y = [tex]\frac{8}{3} x + 9[/tex]
to find x intercept let y = 0 then solve for x
0 = [tex]\frac{8}{3} x + 9[/tex]
-9 = [tex]\frac{8}{3} x[/tex]
divide both sides by 3
-9x3 = 8x
-27 = 8x
8x = -27
x = -27/8
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Which of the following systems of inequalities has point D as a solution?
f(x) ≤ 3x + 4
g of x is less than or equal to negative one half times x minus 5
f(x) ≥ 3x + 4
g of x is less than or equal to negative one half times x minus 5
f(x) ≤ 3x + 4
g of x is greater than or equal to negative one half times x minus 5
f(x) ≥ 3x + 4
g of x is greater than or equal to negative one half times x minus 5
Answer:
B) f(x) ≥ 3x + 4
g of x is less than or equal to negative one half times x minus 5
Step-by-step explanation:
From the above graph,
If point B is the solution of the system of inequalities, then point B must satisfies both inequalities
We can see from the graph that
Point B is located above (≥) the boundary line for f(x) and is also below (≤) the boundary line for g(x).
So we can say,
Point b satisfies the inequalities
Therefore,
The system is
f(x) ≥ (3x+4)
g(x) ≤ (-1/2x -5)
Was this helpful?
Write down all the factors of 24
Answer:
1,2,3,4,6,8,12,24
Step-by-step explanation:
Question in attachment
Answer:
y = 3/4 x + 25/4
Step-by-step explanation:
just tried the numbers out with desmos (free online software
the 3/4 where guessedby intuition
(would indeed appreciate the brainliest if you appreciate the work)
Look at this diagram, complete the following questions
Answer:
e = a
f = c
Angles a, b and c add up to 180°
Angles a, f and b also add up to 180°
A quadratic equation has exactly one real number solution. Which is the value of its discriminant?
-1
0
1
2
Exactly one solution means the quadratic is a perfect square, so the usual two solutions coincide. When we have repeated roots that means the discriminant is zero.
Answer: 0
Answer:
0
Step-by-step explanation:
The line plot below shows the lengths of bolts Mr. Slivka found in his drawer. He needs 16 bolts that are longer than 1 inch for a project he is working on. Does he have enough bolts for his project? A line plot named A. Yes. There are 16 bolts that have lengths greater than 1 inch, which is just enough. B. Yes. There are 18 bolts that have lengths greater than 1 inch, which is more than enough. C. No. There are only 3 bolts with lengths greater than 1 inch, which is not enough. D. No. There are only 12 bolts that have lengths greater than 1 inch, which is not enough
Answer:
D No. as there are only 12 bolts longer than 1inch.
Mr. Slivka needs 16 bolts of greater than 1 measure, and there are only 12.
Step-by-step explanation:
We cannot include 1 inch data as this is not over 1 inch like the 1inch 2/8 and 1inch 4/8 etc. the greater measures of over 1 inch count to 12.
We know they are greater as they do not have a negative sign next to the added fraction of 1 2/8 or 1 4/8.
Answer:
D
Step-by-step explanation:
I HAVE NONE
1. Change the standard form equation into slope intercept form, then name the slope and the y- intercept.
2x-3y=12
2. What is the slope of the line represented by the equation
Y=(2/3)x-4?
A. 4
B. 2/3
C. -4
D. -2/3
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2x - 3y = 12 ( subtract 2x from both sides )
- 3y = - 2x + 12 ( divide all terms by - 3 )
y = [tex]\frac{2}{3}[/tex] x - 4 ← in slope- intercept form
with slope m = [tex]\frac{2}{3}[/tex] and y- intercept c = - 4
2
The line y = [tex]\frac{2}{3}[/tex] x - 4
has slope m = [tex]\frac{2}{3}[/tex] → B
Answer:
11.slope intercept form:
y=2/3x-4
2. slope;
2/3
Step-by-step explanation:
1. make y the subject
2. =mx+c
m is the slope therefore 2/3 is the slope
Find the quotient. Simplify your answer.
7y/6 divides by z/-2
Answer:
-7y/3z
Step-by-step explanation:
When dividing fractions, we flip the second one so that we can multiply the 2 fractions. When we do this, we get 7y/6 * -2/z. When we multiply the numerators and denominators, we get -14y/6z. Simplifying (dividing the numerator and denominator by 2), we get -7y/3z.
Ryan drove 180 miles in 5 hours. If he continued at the same rate, how far would he travel in 7 hours?
Answer:
252 Miles
Step-by-step explanation:
180 divided by 5 = 36
36 x 7= 252 miles
12700 = 23400 x (1-11.5/100)n
A new car is purchased for 23400 dollars. The value of the car depreciates at 11.5% per year. To the nearest year, how long will it be until the value of the car is 12700 dollars?
Answer:
Step-by-step explanation:
889
A level differentiation question. Mainly stuck on the 4-x/x part. Help would be appreciated.
Answer:
see explanation
Step-by-step explanation:
Differentiate [tex]\frac{4-x}{x}[/tex] using the quotient rule, given
y = [tex]\frac{f(x)}{g(x)}[/tex] , then
[tex]\frac{dy}{dx}[/tex] = [tex]\frac{g(x)f'(x)-f(x)g'(x)}{g(x)^2}[/tex]
Here f(x) = 4 - x ⇒ f'(x) = - 1
g(x) = x ⇒ g'(x) = 1 , thus
[tex]\frac{dy}{dx}[/tex] = [tex]\frac{-x-(4-x)}{x^2}[/tex] = [tex]\frac{-x-4+x}{x^2}[/tex] = - [tex]\frac{4}{x^2}[/tex]
-----------------------------------------
Given
y = 3x² + [tex]\frac{4-x}{x}[/tex], then
[tex]\frac{dy}{dx}[/tex] = 6x - [tex]\frac{4}{x^2}[/tex] ← evaluate for x = 2
[tex]\frac{dy}{dx}[/tex] = 6(2) - [tex]\frac{4}{4}[/tex] = 12 - 1 = 11 ← as required
Let me know if you require assistance on (b) and (c)
A fruit bowl contains apples, oranges, and bananas. The radius of one of the oranges is 1.45 inches What is the approacimate
volume of the orange? Use 3.14 for
Please help I will give you brainiest
Answer:
Step-by-step explanation:
from left to right
1. 2400+280=2680
second row
2.540+63=603
third row
2940+343 =3283
top to bottom last row
2680
+
603
=3283
=
It costs $20.50 to enter an amusement park and $0.25 to ride a ride. You have $21.50. Write an equation that represents the number r of rides you can ride.
Answer:
4 rides
Step-by-step explanation:
Total amount = $21.50
Entry charge = $20.50
Amount left = $21.50 - 20.50 = $1
Number of rides
[tex]r = \frac{1}{0.25} = \frac{100}{25} = 4 \\ [/tex]
Another way:
[tex] 0.25\:r + 20.50 = 21.50\\
0.25\:r = 21.50 - 20.50\\
0.25\:r = 1\\
r = \frac{1}{0.25}\\
r = \frac{100}{25}\\
r = 4\\[/tex]