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pav-90 [236]
3 years ago
13

The height of a triangle is 4 in. greater than twice its base. The area of the triangle is no more than 168 in.2. Which inequali

ty can be used to find the possible lengths, x, of the base of the triangle?
Mathematics
1 answer:
wlad13 [49]3 years ago
3 0
Let x be the base of the triangle, and
      2x + 4 be the height. 

One of the ways in solving for the area of a triangle is to half the product of its height (h) and base (b). Mathematically,
 
                              A = bh / 2

Substituting the expression for b and h and the given condition for the area,
   
                                    <em>(x)(2x + 4) / 2 ≤ 168</em>
  
                              
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Point M is the midpoint of AB. The coordinates of point A are (-8, 3) and the coordinates of M are (-2, 1). What are the coordin
ch4aika [34]

Answer:

the coordinates of point B are (-5, 2)

Step-by-step explanation:

1. use midpoint formula to find the midpoint (equation attached below)

2. plug in the numbers

(\frac{-8+(-2)}{2},\frac{3+1}{2})

3. solve

(\frac{-8-2)}{2},\frac{3+1}{2})

(\frac{-10}{2},\frac{4}{2})

(-5,2})

4 0
3 years ago
The sum of two consecutive integers is 4,031. What are the integers?
Sati [7]
They are 2015 and 2016.

divide 4031 by 2, and get rid of the decimal:
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8 0
3 years ago
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Mr. O'Connor had $90 to spend at a football game. He spent 31/45 on his ticket. Then, he spent 3/7 of his remaining money at the
Kobotan [32]

He has $90 in total to spend

He spent (31/45) of this money on ticket

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Now money left with him is 90-62 =28 $

Now it says that he spent (3/7) of this remaining money at concession stand

so money spent on concession stand =(3/7)*28 =84/7 =12

Now money left with him = 28-12 =16

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4 0
3 years ago
If sector area of the shaded circle garden is 8π, and radius of the circle garden is 8 inch. Below figure represent the given sc
otez555 [7]

Answer:

The measurement of the central angle AOB is 45 degrees

Step-by-step explanation:

To solve this problem, we will have to work with fractions.

We will get the fraction of area the shaded portion is when compared to the whole garden.

First of all, we will need to calculate the area of the garden which is \pi r^{2}

in this case, our radius is 8 inches.

Next, we will compare the area of the sector to the area of the garden. This will be

This will be the shaded area/ area of the whole garden

= \frac{8\pi}{\pi8^{2}}

=\frac{1}{8}

We will now convert this ratio to an angle by multiplying it by 360 degrees.

This will be:

\frac{1}{8}\times 360 = 45 degrees

The measurement of the central angle AOB is 45 degrees

3 0
3 years ago
Please help ? Thanks
rjkz [21]
Try answer C or B because either one could be the right answer
8 0
3 years ago
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