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3 years ago

What are the properties of an obtuse triangle

Mathematics

1 answer:

coldgirl [10]3 years ago

5 0

An obtuse triangle will have one and only one obtuse angle.

The other two angles are acute angles.

The sum of the two angles other than the obtuse angle is less than 90º.

The side opposite to the obtuse angle is the longest side of the triangle.

The points of concurrency, the Circumcenter and the Orthocenter lie outside of an obtuse triangle, while Centroid and Incenter lie inside the triangle.

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Which expression represents the fourth term in the binomial expansion of (e + 2f)10?

yan [13]

The fourth term of the binomial expansion $(e+2f)^{10}$ can be calculated using the formula for (i+1)-th term of the binomial expansion:

$T_{i+1}=C_{10}^i\cdot e^{10-i}\cdot (2f)^i.$

In order to find term $T_4$ , determine that

$i+1=4\Rightarrow i=3.$

Now

$T_4=C_{10}^3\cdot e^{10-3}\cdot (2f)^3=C_{10}^3\cdot e^7\cdot (2f)^3.$

Answer: correct choice is A

6 0

3 years ago

Read 2 more answers

There are 205 coins in a jar all of which are either nickles or quarters . The vaule of the coin in the jar is $31.85. if both o

Gnesinka [82]

Answer: There are 97 nickels and 108 quarters.

Step-by-step explanation:

Let x = Number of nickels, y = Number of quarters.

As per given,

x+y = 205 ...(i)

0.05x+0.25y = 31.85 ... (ii) [1 nickel = $0.05, 1 quarter = $ 0.25]

Multiply (ii) by 20, we get

x+5y=637 ...(iii)

Eliminate (i) from (iii)

4y = 432

⇒ y = 108 [Divide both sides by 4]

Put value of y in (i), we get

$108+x=205\Rightarrow\ x= 97$

Hence, there are 97 nickels and 108 quarters.

6 0

3 years ago

Two fractions that have the sum of 4/5

beks73 [17]

1/5 and 3/5

Hope this helps!

3 0

3 years ago

Need help ASAP please I’ll give brainiest:)

scoundrel [369]

Answer:

ac+ad+bc+bd

Step-by-step explanation:

PLS mark me brainiest

5 0

2 years ago

Select the correct answer from each drop-down menu.

Annette [7]

All of given options contain quadratic functions. One way to determine the extreme value is squaring the expression with variable x.

Option B contain the expression where you can see perfect square. Thus, equation $\bf{y=-(x-2)^2+5}$ (choice B) reveals its extreme value without needing to be altered.

To determine the extreme value of this equation, you should substitute x=2 (x-value that makes expression in brackets equal to zero) into the function notation:

$y=-(2-2)^2+5=5.$

The extreme value of this equation has a minimum at the point (2,5).

7 0

2 years ago

Read 2 more answers