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boyakko [2]
3 years ago
7

What is the area of the obtuse triangle given below

Mathematics
2 answers:
expeople1 [14]3 years ago
4 0

Answer:

Option D 9 sq units

Step-by-step explanation:

we know that

The area of a triangle is equal to

A=\frac{1}{2}(b)(h)

where

b is the base

h is the height

In this problem we have

b=9\ units\\h=2\ units

substitute in the formula

A=\frac{1}{2}(9)(2)

A=9\ units^2

Nesterboy [21]3 years ago
4 0

Answer: D. 9 sq. units.

Step-by-step explanation:

We know that , the area of a triangle = \dfrac{1}{2}\times \text{Base x height}}

In the given picture , it can be seen that the height of the triangle = 2 units

and base length of triangle = 9 units

Then, the area of a triangle = \dfrac{1}{2}\times9\times2

i.e. Area of a triangle = 9 square units.

Hence, the correct answer is option D. 9 sq. units.

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Simplify the following
Bond [772]

Answer:

Step-by-step explanation:

1) 5xy - xy + 2x - 13x + 10xy - 8x =<u> 5xy - xy + 10xy</u>   +<u>2x - 13x - 8x</u>

Combine like terms

 =  (5 -1 +10)xy + (2-13-8)x

 = 14xy + (-19x)

 = 14xy - 19x

2) -6c - (-6c) - (+6c) = -6c + 6c - 6c

                               = (- 6 + 6 - 6)c

                                = -6c

3) 0x - 22x - 4(2x) = 0x - 22x - 8x = -30x

6 0
3 years ago
HELP PLEASE ❤️❤️!!!!!!’
strojnjashka [21]
C. The 2 in the denominator turns into -2 and you just take the coefficients directly from the numerator.
8 0
3 years ago
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A patio was to be laid in a design with one tile in the
Vlada [557]

Answer:

10

Step-by-step explanation:

The number of tiles in the design is 1 + 2 + 3 + ...

We can model this as an arithmetic series, where the first term is 1 and the common difference is 1.  The sum of the first n terms of an arithmetic series is:

S = n/2 (2a₁ + d (n − 1))

Given that a₁ = 1 and d = 1:

S = n/2 (2(1) + n − 1)

S = n/2 (n + 1)

Since S ≤ 60:

n/2 (n + 1) ≤ 60

n (n + 1) ≤ 120

n must be an integer, so from trial and error:

n ≤ 10

Mr. Tong should use 10 tiles in the final row to use the most tiles possible.

7 0
3 years ago
A company offers a raffle whose grand prize is a $35,000 new car. Additional prizes are a $1,100 television and $600 computer. T
anastassius [24]

Answer:

-$ 10.13

Step-by-step explanation:

Given,

The cost price of each ticket = $ 22,

So, the value of each ticket other than price ticket = - $ 22, ( negative sign shows loss,i.e. if we don't get the price we will have the loss of $ 22 )

Now, there are 3 tickets in which first is of $35,000 price, second is of $1,100 and third is of $ 600,

So, the value of first ticket = 35000 - 22 = $ 34978,

Value of second ticket = 1100 - 22 = $ 1078,

Value of third ticket = 600 - 22 = $ 578,

Also,

\text{Probability}=\frac{\text{Favourable outcome}}{\text{Total outcome}}

Hence, by the above information we can make a table for the given situation,

Number           2997               1                    1                     1        

Price               -$ 22               $ 34978        $ 1078           $ 578

Probability       2997/3000      1/3000         1/3000           1/3000

Therefore, the expected value of a ticket

=-22\times \frac{2997}{3000}+34978\times \frac{1}{3000}+578\times \frac{1}{3000}

=-$10.126

≈ - $ 10.13

5 0
3 years ago
Which proportion could be used to determine if the figure ms represent a dilation
andriy [413]
The answer is A. 2/3 =5/8
7 0
3 years ago
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