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ludmilkaskok [199]
3 years ago
11

( 2x + 1 ) + ( 3x+2 ) =

Mathematics
1 answer:
MrRa [10]3 years ago
7 0

Answer: 5x+3

Let's go over this problem step by step:

First, you need to combine all the line terms.

2x + 1 + 3x + 2

Next, you get this equation:

( 2x + 3x ) + ( 1 + 2 )

2x and 3x is 5x. 1 and 2 is 3.

So your final answer is 5x+3.

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Vance is designing a garden in the shape of an isosceles triangle. The base of the garden is 30 feet long. The function y = 15 t
Stella [2.4K]

Answer:

A. 8.66 feet

B. 12.59 feet

C. Area of triangle when \theta=30  is 129.9 square feet. Area of triangle when \theta=40 is 188.85 square feet. Increasing the angle  \theta  increases the area.


Step-by-step explanation:

The equation that models the height of the triangle is:

y=15 Tan \theta

Where,

  • y is the height, and
  • \theta  is the angle

A.

When \theta=30 , the height is:

y=15Tan30\\y=8.66


B. When \theta=40[/tex\ , the height is:[tex]y=15Tan40\\y=12.59


C. <em>To find the area of the isosceles triangular shaped garden, we use the </em><em>formula for the area of the triangle</em><em>:</em>

A=\frac{1}{2}bh

Where,

  • A is the area
  • b is the base, which is given as 30 feet, and
  • h is the height [8.66 feet when the angle is 30 & 12.59 when angle is 40]

<u>When Vance uses \theta=30 , the area is</u>:

A=\frac{1}{2}(30)(8.66)\\A=129.9  square feet


<u>When Vance uses \theta=40 , the area is</u>:

A=\frac{1}{2}(30)(12.59)\\A=188.85  square feet


So we see that when the angle is more, the area is also more.

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Step-by-step explanation:

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So last week Paul worked 2.5x this week's hours, so he worked a total of 2.5x15= 37.5 hours last week.
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If Jay ran 1 mile in 10 minutes on Monday, 2 miles in 20 minutes on Tuesday,
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