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Murljashka [212]
3 years ago
9

A wooden plank is cut into three pieces. The ratio of the length of the pieces of wood is 6:10:12. If the length of the original

wooden plank is 812 centimetres, what is the length of the longer piece of wood?
Mathematics
1 answer:
iren2701 [21]3 years ago
8 0

Answer:

290 centimetres

Step-by-step explanation:

The ratio of the length of the pieces of wood is 6 : 10 : 12.

We have to find the total ratio first:

6 + 10 + 12 = 28

The longer piece of wood has ratio 10.

The length of the original wooden plank is 812 centimetres, therefore, the length of the longer piece of wood is:

10/28 * 812 = 290 centimetres

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Graph the image of this figure after a dilation with a scale factor of 1/3 centered at the origin.
posledela

Answer:

see attached diagram

Step-by-step explanation:

A dilation with a scale factor of \dfrac{1}{3} centered at the origin has a rule:

(x,y)\mapsto\left(\dfrac{x}{3},\dfrac{y}{3}\right).

Then the image of the triangle ABC is triangle DEF(see attached diagram) with coordinates

  • D\left(\dfrac{-3}{3},\dfrac{3}{3}\right)\Rightarrow D(-1,1);
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3 0
3 years ago
Neveah has created the function of f(x) = 2x+4/3 to represent the growth of her hair, where x represents the number of months si
Andre45 [30]
F(x)=2x+4/3

Replace f(x) by y:
y=2x+4/3

Solving for x:
y-4/3=2x+4/3-4/3

Subtracting the two terms on the left side of the equation:
(3y-4)/3=2x

Dividing both sides of the equation by 2:
[(3y-4)/3]/2=2x/2
[(3y-4)/3]*(1/2)=x
[(3y-4)*1]/[(3)*(2)]=x
(3y-4)/6=x
x=(3y-4)/6

Replace "x" by "f^(-1) (x)" (inverse function) and "y" by "x":
f^(-1) (x) = (3x-4)/6   Inverse function

Then, for x=6 
f^(-1) (6) = [ 3(6)-4]/6
f^(-1) (6) = (18-4)/6
f^(-1) (6)= 14/6
f^(-1) (6) = 7/3

Her hair will have grown 6 after 7/3 = 2.33 months


3 0
3 years ago
One of the formulas for calculating the correct dosage for a child is as follows: C= a/((a+12)) ∙ 180 C = child’s dosage in mill
bogdanovich [222]
So you already have the formula for calculating the dosage for child with: C = a/(a+12)x 180 ml Not sure why you have double brackets

variables are: a = child's age, so everywhere you have an "a" replace it with the age of child.

Example: 5 year old child

C = 5/(5+12)*180= 5/(17)*180 = 5/3060 = .0016 ml or milligrams
8 0
3 years ago
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Finger [1]

Answer:

welp-

7(x - 2)2 = 14(x-2) = 14x-28

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6 0
2 years ago
Choose the product of –3y2(–4y3 + y – 9).
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Answer:

D

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6 0
2 years ago
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