Answer:
8.9
Step-by-step explanation:
7.1/8.9=Qn/11.1
QN = 8.9
{ Parallel lines divide in proportion to their segments }
The solution is 8.9
The length of the side of the triangle PNO is QN = 8.9
What are similar triangles?
If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be ΔPNO
Let the second triangle be ΔPQR
Now , ΔPNO ≅ ΔPQR
And , The corresponding sides of similar triangles are in the same ratio
So , substituting the values in the equation , we get
RO / PR = QN / PQ
On simplifying the equation , we get
7.1 / 8.9 = QN / 11.1
Multiplying both sides of the equation by 11.1 , we get
QN = ( 7.1 x 11.1 ) / 8.9
The value of QN will be
QN = 8.85
Rounding the value of QN to the nearest tenth , we get
QN = 8.9
Therefore , the value of QN is 8.9
Hence , The length of the side of the triangle PNO is QN = 8.9
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Express the equation In y = 5 in exponential form.
TIMED HELP PLEASE
Answer:
log
2
(
y
)
=
5
→
2
5
=
y
⇒
y
=
32
Step-by-step explanation:
[tex]Simplify: \frac{ {x}^{a + b} . {x}^{b + c} {x}^{c + a} }{ {x}^{a}. {x}^{b} . {x}^{c} } \\ [/tex]
Need help please.
Step-by-step explanation:
[tex] \bf \underline{Solution-} \\ [/tex]
We have to simplify the given expression.
[tex] \rm = \dfrac{ {x}^{a + b} \cdot {x}^{b + c} \cdot {x}^{c + a} }{ {x}^{a} \cdot {x}^{b} \cdot {x}^{c} } [/tex]
We know that:
[tex] \rm \longmapsto {x}^{a} \times {x}^{b} = {x}^{a + b} [/tex]
[tex] \rm \longmapsto \dfrac{ {x}^{a} }{ {x}^{b} } = {x}^{a - b} [/tex]
Therefore, we get:
[tex] \rm = \dfrac{ {x}^{(a + b) + (b + c) + (c + a)}}{ {x}^{a + b + c} } [/tex]
[tex] \rm = \dfrac{ {x}^{2(a + b+ c)}}{ {x}^{a + b + c} } [/tex]
[tex] \rm = {x}^{2(a + b+ c) - (a + b + c)}[/tex]
[tex] \rm = {x}^{a + b + c}[/tex]
the ratio of the interior angle to the exterior angle measures of a triangle is 1:4:5. What are the angle measures
Answer:
18°
Step-by-step explanation:
because it is ratio let represent by x
1x+4x+5x=180
10x=180
x=18°
hope that helps
a. 2300ml=_____l b. 9400ml=_____l c. 9l=________ml d. .7l=_______ml e. 9.7l=_____ml
f. 670ml=_______l g.217ml=_______l h. 1200ml=______l
Answer:
a) 2300 ml = 2.3 l
b) 9400 ml = 9.4 l
c) 9 l = 9000 ml
d) 7 l = 7000 ml
e) 9.7 l = 9700 ml
f) 670 ml = 0.67 l
g) 217 ml = 0.217 l
h) 1200 ml = 1.2 l
Step-by-step explanation:
For converting milliliter to liter, divide the number (ml) by 1000. For converting liter to milliliter multiply the number (l) by 1000.
Match the situation to the most appropriate graph #7
Cual es la constante de proporcionalidad de 1/2 ?
Answer:
Therefore, the relationship given in the table is proportional. When we look at the above table when x gets increased, y also gets increased, so it is direct proportion. Substitute 2 for x and 1 for y. So, the constant of proportionality is 1/2.
Find the equation of the circle in standard form given the center, point or radius. Show your solution.
Center (-3,5) & Point (-2,1)
Answer:
(x + 3)^2 + (y - 5)^2 = 17
Step-by-step explanation:
To find the radius: distance from point (-2,1) to the center from point (-3,5).
d = sqrt [(-2 - -3)^2 + (1 -5)^2]
d = sqrt [(-2 + 3)^2 + (1 -5)^2]
d = sqrt (1)^2 + (-4)^2 = sqrt 17
Radius = sqrt 17
Equation of the circle:
(x - h)^2 + (y - k)^2 = r^2
h = 3, k = 5, r = sqrt 17
(x - -3)^2 + (y - 5)^2 = (sqrt 17)^2
(x + 3)^2 + (y - 5)^2 = 17
help please because I feel like my brain is gonna rot from this (please look at the image)
Answer:
124.3
Step-by-step explanation:
42.15+20.00=1/2x
62.15=1/2x
62.15*2
124.3 is the total of her paycheck.
42.1<20.00+x
What is 20 x 4
a. 68
b. 40
c. 82
d. 91
Answer:
None of the above
Step-by-step explanation:
20 x 4 = 80
20 + 20 +20 =20 = 80
Which segment is a dilation of BC using A as the center of dilation and a scale factor of 2/3
Answer: 45
Step-by-step explanation:
members of a softball team raised 1405.25 to go to a tournament. they rnted a bus for 822.50 and budgeted 27.75 per each players . write and solve an equation which can be used to determine x , the number of players the team can bring to the tournament
Creating an expression for the scenario, the Number of players that can be brought to the tournament is 21.
Given the Parameters :
Total amount raised = 1405.25Bus rent = 822.50Amount per player = 27.75We could represent the expression to calculate the number of players thus :
Total amount raised = (Bus rent + (amount per player × number of Players))
1405.25 = 822.50 + 27.75x
1405.25 - 822.50 = 27.75x
582.75 = 27.75x
x = (582.75÷27.75)
x = 21 players
Therefore, the Number of players would be 21.
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WILL GIVE BRAINLEST
john weighs 145 lbs. he lost weight. the ratio of his old weight is 5:4. How much does he weight now
Answer:
108.75
Step-by-step explanation:
He lost 36.25 pounds so 145 - 36.25 = 108.75
I am like 85% sure that this is the correct answer
Good luck on whatever you are doing.
2,631 dividido entre 24
Answer:
2631 divided by 24 = 109.625
Step-by-step explanation:
The result of 2631/24 is a terminating decimal with 3 digits to the right of the decimal point.
2631 divided by 24 in decimal = 109.625
2631 divided by 24 in fraction = 2631/24
2631 divided by 24 in percentage = 10962.5%
Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 2631 and 24, of course.
Repetends, if any, are denoted in ().
The conversion is done automatically once the nominator, e.g. 2631, and the denominator, e.g. 24, have been inserted.
SPANISH:
El resultado de 2631/24 es un decimal final con 3 dígitos a la derecha del punto decimal.
2631 dividido por 24 en decimal = 109,625
2631 dividido por 24 en fracción = 2631/24
2631 dividido por 24 en porcentaje = 10962,5%
Tenga en cuenta que puede utilizar nuestra calculadora de última generación anterior para obtener el cociente de dos enteros o decimales cualesquiera, incluidos 2631 y 24, por supuesto.
Los repetends, si los hay, se indican en ().
La conversión se realiza automáticamente una vez que el nominador, por ejemplo, 2631, y el denominador,
write the equation of the line parallel to the given line 4x - 2y = 7
Answer:
2x+y = 3
Step-by-step explanation:
Let's take y=-2x+b through the point (1,1), so we get b is equal to 3. So this is y=-2x+3, so 2x+y=3
not sure how to do these. i need help with 13! needing it to be reduced just like y should be 8
Answer:
I'm not sure 710
Step-by-step explanation:
I'm not sure
Answer:
#14
y=5
x=14
Step-by-step explanation:
I did 14 for you
the two expressions with x equal each other since they are on the same side of their line, similar to eachother. Then plug in x into one of those expressions and do 180- your answer to get the angle for one of the y expressions since its on the other side of the line. both angles have to add up to 180.
9000 dollars is placed in an account with an interest rate of 8%. How much will be in the account after 17 years, to the nearest cent?
Answer:
$21,240
Step-by-step explanation:
8 percent *9000 =
(8:100)*9000 =
(8*9000):100 =
72000:100 = $720 per years of interest
720* 17
= 12,240
12,240+9,000
= 21,240
A number is at most -5 or at least 0, but how do you graph it?
Answer:
Step-by-step explanation:
i am not really fully sure
Help me with this pls!!!
Answer:
B) $1.25
Step-by-step explanation:
1. First, let's take two points. In this case, we're going to take (4,5) and (8,10). We took 2 points, so we can verify the unit rate/cost per pound of pineapple.
2. To find the cost per pound of pineapple, we have to divide the cost (the y-coordinates) by the pound (x-coordinates)
5 ÷ 4 = 1.2510 ÷ 8 = 1.253. Now, since we can verify with 2 coordinates that the cost per pound is $1.25, the answer is B) $1.25.
Can someone tell me the answer to this please
Answer:
132°
Step-by-step explanation:
Because the triangle is isosceles, the two base angles are the same. This means that two angles in the triangle are 24°
24 + 24 + ∠PON = 180° - first, simplify this
48 + ∠PON = 180° - now, subtract 48 from both sides
∠PON = 132°
Hope this helps!
True or False
a = 6 is a solution to the inequality below:
a/2 < 4
( The < is underlined)
Give me an answer only
Answer:
Step-by-step explanation:
option 2
Answer:
The first choice
Step-by-step explanation:
-2 + 4(-5) = -2 + -20 = -22
-2 + 4(0) = -2
Write a function to represent the point (x, y) rotated 90° counterclockwise about the origin.
Answer:
see explanation
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x )
The function that represents the rotation of coordination by 90° counterclockwise about the origin is R(x, y )= (- y, x ).
What are coordinates?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
When the given coordinate (x,y) are rotated rotated 90° counterclockwise about the origin, then the coordinates become (- y, x ).
R(x, y )= (- y, x )
Therefore, the function that represents the rotation of coordination by 90° counterclockwise about the origin is R(x, y )= (- y, x ).
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At a school dance, the ratio of girls to boys is 8:3. If there are 528 students at the dance, how many are boys and how many are girls?
Answer:
144 boys and 384 girls
Step-by-step explanation:
8 girls to every 3 boys. You can make an equation to solve this: 8x + 3x = 528. 528 = 11x. Then divide 528 by 11 to get 48. x=48. 8(48) = 384 girls. 3(48) = 144 boys.
Solve 3x^2+ 5 = 2 using square roots
Answer:
[tex]x=\pm i[/tex]
Step-by-step explanation:
[tex]3x^2+5=2[/tex]
[tex]3x^2=-3[/tex]
[tex]x^2=-1[/tex]
[tex]x=\pm i[/tex]
0.810x0.00084/0.000400x0.0270leave the answer in a standard form
Answer:
4.5927 x 10^-2 ?
Step-by-step explanation:
Which point is the vertex?
C
B
A
None of the above
9. Ramon buys five 3- pound bags of natural parrot food for $8.79 per bag. How much money did he
spend?
$43.95
Step-by-step explanation:
If each bag costs 8.79 and Ramon bought 5 bags then you would multiply 5×8.79
Answer:
$26.37
Step-by-step explanation:
Ramon bought 3-pound bags of natural parrot food for $8.79 per bag. how much money did he spend?
If Ramon bought 3-pound bags of natural parrot food each is $8.70 per bag
It's time to add!!
8.79 + 8.79 + 8.79= ANSWER: $26.37
In Stacking! :)
8.79
+8.79
8.79
______
26.37
HOPE THIS HELPS YOU! :)
Any multiple of 12 is also a multiple of 4.explain why it’s true?
Answer:
the answer is 36....
because...
12*3=36
and also 4*9 =36
Any multiple of 12 is also a multiple of 4 true because Multiples of 4 can be found by multiplying 4 by another number. For example, 4×3=12.
What is multiple?A multiple is a result of multiplying a number by a whole number (it should not be a fraction). Multiples of an integer are obtained by subtracting the product of the decreasing numbers and the product of the whole numbers. For example, to find multiples of 6, we multiply 6 by 1, 6 by 2, 6 by 3, etc. The coefficients are the result of this multiplication. A number can have an infinite number of repetitions because multiples of a number are obtained by multiplying it by natural numbers. So we can write an infinite number of times for a given number. The table below shows the first 10 multiples of some numbers.
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Rewrite the equation below so that it does not have fractions
2/3x-5=3/4
Answer:
Step-by-step explanation:
The best way to do this problem is to find the lowest common denominator.
2/3 : 3*2/(3*3)
3/4 : 3*3 / 3*4
Notice what you have done. You have multiplied both denominators by something that gets rid of the denominators, or will when you multiply by 4 * 3 = 12
So multiply the equation by 12
(2/3 x- 5 = 3/4 ) 12
8x - 60 = 9 Add 60 to both sides
8x - 60 = 9 Combine
8x = 69 Divide by 8
x = 69/8
x = 8 5/8
determine the intercepts of the line 4x-3y=17
Answer:
x-intercept = 17/4 and y = -17/3
Step-by-step explanation:
To find the intercepts: set x = 0 for the y-intercept and solve the equation and set y =0 for the x- intercept and solve the equation.
To
4x - 3y = 17
4(0) - 3y = 17
0 - 3y = 17
y = 17 /-3
y = -17/3 = -5 2/3 y-intercept = -5 2/3.
The ordered pair on the graph is (0, -17/3)
4x - 3(0) = 17
4x - 0 = 17
4x = 17
x = 17/4 x-intercept = 17/4
The ordered pair on the graph is (17/4, 0)
