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Licemer1 [7]
3 years ago
15

A right triangle has legs measuring 4.5 meters and 1.5 meters. The lengths of the legs of a second triangle are proportional to

the lengths of the legs of the first triangle. Which could be the lengths of the legs of the second triangle?
Mathematics
1 answer:
Eduardwww [97]3 years ago
4 0
Any multiples of 4.5:1.5 would work because being proportional just depends on whether you can reduce to get the same answer of the first triangle. You could do anything like 9m and 3m or 27m and 9m
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Construye un rectángulo de 12 cm de altura y 5 cm de ancho (Píntalo). Luego a) Calcula el perímetro del rectángulo. B) Calcula e
lara [203]

Step-by-step explanation:

Build a rectangle 12 cm high and 5 cm wide (Paint it). Then a) Find the perimeter of the rectangle. B) Find the area of ​​the rectangle. Aiuda porfis.

Length of the rectangle is 12 cm

Breadth of the rectangle is 5 cm

Perimeter is the sum of all sides. For rectangle it is given by :

P = 2(l+b)

⇒ P=2(12+5)

P = 34 cm

Area of a rectangle is equal to the product of its length and breadth.

So,

A = lb

A = 12 cm × 5 cm

⇒A = 60 cm²

Hence, perimeter is 34 cm and area of rectangle is 60 cm².

8 0
3 years ago
How to solve the first problem need urgently
soldi70 [24.7K]
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3 0
2 years ago
Julio and David were in Target and decided to check out the clearance section. They found pencils and erasers that were on sale
Sati [7]

Answer:

Cost of one pencil: \$0.07

Cost of one eraser: \$0.03

Step-by-step explanation:

Let be "p" the cost in dollars of one pencil and "e" the cost in dollars of one eraser.

Based on the information given in the exercise, you can set up the following system of equations:

\left \{ {{4p+3e=0.37} \atop {3p+4e=0.33 }} \right.

You can use the Elimination Method to solve the system of equations.

Multiply the first equation by -3 ad the second one by 4. Then add the equations and solve for "e":

{\left \{ {{-12p-9e=-1.11} \atop {12p+16e=1.32}} \right.\\..........................\\7e=0.21\\\\e=0.03

Substitute the value of "e" into any original equation  and solve for "p":

4p+3(0.03)=0.37\\\\p=\frac{0.28}{4}\\\\p=0.07

5 0
2 years ago
Write to show how you make a ten. then add.
kirill [66]
Hello there! 9+7=16. I hope this helps!
6 0
2 years ago
Read 2 more answers
Rachel runs 2km to her bus stop, and then rides 4.5 km to school. On average, the bus is 45 km/h faster than Rachel's average ru
Mice21 [21]

Answer:6.042km/h 6km/h approximately

Step-by-step explanation:

First off we have to know the formula relating speed, distance and time which is

Speed = distance/time

Now we are looking for Rachel's running speed

We are to find Rachel's running speed, so let's label is x

We are given that the distance Rachel runs to her bus stop is 2km

We were not given the time she uses to run to the bus stop

So let's label the time Rachel uses to run to her bus stop as y

So from the formula speed = distance/time

We have x = 2/y

Now we are told that the speed the bus uses to get to school is 45km/h faster than her speed used to run

So speed of bus = 45 + x

And the overall time for the whole journey is 25mins, changing this to hours, because the speed details given is in km/h we divide 25 by 60 which will give 0.417

Now if the total time is 0.417 hours, and we labeled the time for Rachel to run to the bus as y, so the time for the time for the bus to get to school will be 0.417 - y

We are also told the bus rides for 4.5km to school

So adding this together to relate the speed, distance and time of the bus with the formula speed = distance/time

We get 45 + x = 4.5/(0.417 - y)

So we have two equations

x = 2/y (1)

45+x = 4.5/(0.417-y) (2)

So putting (1) in (2) we have

45 + (2/y) = 4.5/(0.417-y)

Expanding further

(45y + 2)/y = 4.5(0.417-y)

Cross multiplying

(45y + 2)(0.417 - y) = 4.5y

Opening the brackets

18.765y - 45y2 + 0.834 - 2y = 4.5y

Collecting like terms

-45y2 + 18.765y -2y - 4.5y + 0.834 = 0

-45y2 + 12.265 + 0.834 = 0

Dividing all sides by -45 to make the coefficient of y2 1

y2 - 0.273y - 0.019 = 0

Now we have gotten a quadratic equation, and since it's with decimal numbers we can use either completing the square method of almighty formula

I'm using almighty formula her

For solving

ax2 + bx + c = 0

x = (-b +-root(b2-4ac)/2a

For our own equation, we are finding y

From our our quadratic equation

a = 1, b=-0.273, c = -0.834

you = (-(-0.273)+-root(-0.273-4(1)(-0.019))/2(1)

y = (273+-root(0.151))/2

y = (0.273+0.389)/2 or (0.273-0.389)/2

y = 0.331 or -0.085

So we use the positive answer which is 0.331, because time can't be negative

Then we put y = 0.331 in (1)

x = 2/y

x = 2/0.331

x = 6.042km/h

x = 6km/h approximately

4 0
3 years ago
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