Answer:
55⁰
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. There are different types of triangles such as isosceles triangle, equilateral triangle, scalene triangle, right angled triangle.
The law of cosines states that for a triangle with sides a, b and c and the corresponding angles opposite to the sides which are A, B and C. Then:
a² = b² + c² – 2bccos(A)
Let ML = a = 5.74, LN = b = 4, MN = c = 7.
∠N is opposite to side ML. Let ∠N be A, hence:
a² = b² + c² – 2bccos(A)
2bc* cos(A) = b² + c² – a²
Substituting:
2(4)(7) * cos(A)= 4² + 7² - 5.74²
56cos(A) = 32.0524
cos(A) = 0.5723
A = cos⁻¹(0.5723)
A = 55⁰
A = ∠N = 55⁰
There is a common equation we use to find the Area of a trapezoid.
(a+b)h/2=A
Let's fill in what we know. We're not going to fill in any information about the bases.
(a+b)8/2=96
We can already tell that 8/2 will simplify to 4.
(a+b)4=96
Let's divide each side by 4.
a+b=24
Now, let's look at the information about the bases.
So, we will have this in terms of base a, since one base is longer than the other. This is how it'll look.
a +(a+6)=24
We can simplify that further.
2a+6=24
now subtract 6 from each side.
2a=18
Let's divide
9=a
So one side is 9, so the other one is 15. We should make sure everything makes sense by putting all the information in the formula to find area.
(9+15)8/2
24×4
96.
The lengths of the bases are 9 and 15 inches.
Answer:
s.jnufdhgvsgvru
Step-by-step explanation:
Find the iqr of the data set 0, 0, 1/4, 1/2, 1/2, 5/4, 1, 1, 1, 2, 2
andrew11 [14]
Answer:
0, 0, 1, 1, 1, 2, 2
Step-by-step explanation:
25th Percentile: 0
50th Percentile: 1
75th Percentile: 2
Interquartile Range: 2
Answer:
45.72 cm
Step-by-step explanation:
Given: Height of the Chinstrap Penguin= 68.58 cm
Height of the Emperor penguin= 1.143 meter
Lets calculate the height of Emperor penguin in centimeter.
Remember, 1 meter = 100 centimeter
∴ Converting the unit of height of Emperor penguin.
∴ Height of Emperor penguin is 114.3 cm.
Now, comparing the height of Chinstrap penguin and Emperor penguin´s height.
∴ The Emperor penguin is 45.72 cm taller than Chinstrap penguin.