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scZoUnD [109]
3 years ago
14

The area of a right triangle is 49 square meters. The height is twice as long as the base. How long is the shorter leg of the tr

iangle
Mathematics
1 answer:
Ksenya-84 [330]3 years ago
4 0

a·b = 2·49

a = 2·b

Solve the equations.

a = 14 ∧ b = 7

The shorter leg is 7 meters.

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Amanda drove 355 miles using 17 gallons of gas. At this rate how many gallons of gas would she need to drive 284 miles?
Allushta [10]
355 miles/17 gallons ≈ 20.88 miles per gallon
284 miles ÷20.88= 13.6 gallons needed
7 0
3 years ago
Match each polynomial in standard form to its equivalent factored form.
GREYUIT [131]

Answer:

  • 8x^3+1   ⇒   (2x+1)(4x^2−2x+1)
  • 2x^4+16x   ⇒   2x(x+2)(x^2−2x+4)
  • x^3+8   ⇒   (x+2)(x^2−2x+4)

Step-by-step explanation:

The factoring of the sum of cubes is ...

  a³ +b³ = (a +b)(a² -ab +b²)

1. a=2x, b=1

  = (2x)³ + 1³

__

2. There is an overall factor of 2x. Once that is factored out, a=x, b=2.

  = (2x)(x³ +2³)

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3. a=x, b=2

  = x³ +2³

3 0
3 years ago
8 miles is approximately equal to 6 km how many km are equal to 28 miles ? How many miles are equal to 42km
Snowcat [4.5K]

28/8 = 3.5

3.5*6 = 21 km


42/6=7

7*8 = 56 miles

7 0
3 years ago
A bakery can make 30 donuts every 15 minutes. What is the unit rate at which the bakery makes donuts?
sesenic [268]

Answer:

Your answer is 2/1. 2 donuts every minute.

Step-by-step explanation: The rate you are given is 30 donuts every 30 minutes. This equals 30/15.

To make a unit rate, you must make the fraction have a ratio of x/1. You can simply do this by dividing and/or simplifying the equation 30/15.

4 0
3 years ago
The length of s is 2/3 the length of t. If s has an area of 368 cm squared find the perimeter of the figure
ser-zykov [4K]
s = \frac{2}{3}t
\\\ \frac{2}{3}t*t = \frac{2}{3}t^2
\\\ \frac{2}{3}t^2 = 368
\\\ t^2 = \frac {3}{2}368
\\\ t^2 = 552
\\\ t \approx 23.5
\\\ s \approx 15.6
\\\ P \approx 78.2
3 0
3 years ago
Read 2 more answers
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