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3 years ago

Classify the following triangle. Check all that apply. A. Scalene B. Right C. Acute D. Equilateral E. Obtuse F. Isosceles

Mathematics

2 answers:

jolli1 [7]3 years ago

7 0

Answer:

the correct answer is acute and scalene

Sati [7]3 years ago

3 0

Answer:

E and F

Step-by-step explanation:

The triangle given has two equal sides, and an obtuse angle that is more than 90° that measures 120°. The other two angles are of equal measure since their opposite sides are of the same length. Thus, this implies that it is an isosceles triangle because it has two equal base angles and two equal sides. It also implies that it is an obtuse triangle since one of it's angles is more than 90°.

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A paper airplane was thrown from the top of a tall building. The height of the paper airplane above the ground can be found usin

BaLLatris [955]

Answer:1) Since you have not provided the full question, I will work the quadratic expression that models the height of the paper airplane to find as much information as it gets.

2) Firstly, note that the quadratic function -2x^2 + 5x + 33 has these characteristics:

i) It is a parabola

ii) Since, the coefficient of x^2 is negative (-2) it opens downward and has a maximum, which indicates the maximum height of the airplane

iii) The, y-intercept, i.e. the y-value for x = 0, is the initial height of the ariplane, the height from which it was launched, and it is - 2 (0) + 5(0) + 33 = 33.

Then, the airplane was launched from a height of 33 units.

3) The vertex of the parabola is the maximum and it tells both the time to reach the maximum height and the value of that maximum.

4) You can easily find the vertex coordinates by completeing squares. This is how:

Start: -2x^2 + 5x + 33

Factor - 2 from the first two terms: - 2 (x^2 - 5/2x) + 33

Add and subtract the square of the half of x's coefficient:

- 2 ( x^2 - 5/2x + 25/16) + 25/8 + 33

Form the perfect square binomial: - 2 (x - 5/4)^2 + 289/8

By comparission with the vertex form of the equation of the parabola: A(x - h)² + k, the vertex is:

(h,k) = (5/4, 289/4) = (1.25, 36.125).

5) Then, the maximum height is 36.125 units, when the time is 1.25 seconds.

6) You can also find the time when the airplane lands on the ground by making -2x^2 + 5x + 33 = 0

For that you can factor the expression -2x^2 + 5x + 33

-2x^2 + 5x + 33 = - (x + 3) (2x - 11)

Equal to zero: - (x + 3)(2x - 11) = 0 ⇒ x = - 3 and x = 11/2 = 5.5.

That means that the airplane will land on the ground at 5.5 seconds.

7) You can also find the heights at different times, by just pluging in different values of x in the expression -2x^2 + 5x + 33.

7 0

3 years ago

Taylor is looking to make herself a ham and cheese sandwich she uses 1/4 slice of cheese and a 1/2 rolls of ham in her sandwich

Virty [35]

Answer:

2 1/2 rolls of ham

Step-by-step explanation:

Break down the question. 1/4 is for 1 slice of cheese. So if she is going to use 1 1/4 now. That means that would be equal to 5 slices of cheese. Now look at the ham. It allows you to start with 1/2 rolls of ham. To make it equal to the 5 slices of cheese. You will do add 1/2 together 5 times. Adding 1/2 and 1/2 is 1. So if you do that another two times. Its now 2. Add one more 1/2 now you have 2 1/2.

7 0

3 years ago

Read 2 more answers

A family consisting of one mother, one father, two daughters and a son is taking a road trip in a sedan. The sedan has two front

Mariana [72]

Answer:

B. 32

Step-by-step explanation:

Let's start by defining the multiplication principle.

If a first experiment can happen in ''a1'' ways,a second experiment can happen in ''a2'' ways ... and finally a ''ni'' experiment can happen in ''ai'' ways ⇒ the total ways in which the whole experiment can take place are :

a1 x a2 x ... x ai

Let's also define the arrangement of ''n'' objects in a straight line.

This arrangement is the number n!

For example if we want all the arrangements for letters A,B and C (n = 3) this number is 3! = 3.2.1 = 6

For the problem we are going to calculate the arrangements in which the father is driving and then multiply that number by 2 to obtain the arrangements in which the father and the mother drive.

When the father drives there are 4 possible seats for 4 persons ⇒ 4! = 16 ways this 4 persons can sit.

Now we subtract the ways in which the two daughters are sitting next to each other.

This number is 2 x 2 x 2.

The ''first'' two is because the two daughters can seat one in the middle seat and one in the right window or one in the middle seat and one in the left window.

The ''second'' two is because the daughters are each different.

And the last two is the ways in which the mother and the son can sit ⇒

$4!-2^{3}=24-8=16$

If the father drive, there are 16 ways for this arrangement.

Now we multiply by 2 to obtain all the arrangements (we don't forget the case in which the mother drives).

$(16).2=32$

There are 32 possible seating arrangements.

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3 years ago

4.25 • (–1.25) positive or negative?

Alexandra [31]

Answer:

Negative

Step-by-step explanation:

Positive times a negative will always be negative

8 0

3 years ago

Read 2 more answers

Ritwik is a baker.

stepan [7]

Step-by-step explanation:

mix dry ingredients

mix wet ingredients

mix all ingredients both wet and dry ingredients

3 table spoon oil

4 0

2 years ago

Classify the following triangle. Check all that apply. A. Scalene B. Right C. Acute D. Equilateral E. Obtuse F. Isosceles ​

Classify the following triangle. Check all that apply. A. Scalene B. Right C. Acute D. Equilateral E. Obtuse F. Isosceles