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2 years ago

What is the area of the obtuse triangle given below?

Mathematics

2 answers:

Akimi4 [234]2 years ago

7 0

The area of a triangle is 1/2 the base times the height.
The base is 15 and the height is 13.

Area = 1/2 x 15 x 13 = 97.5 sq. units.
The answer is A.

Troyanec [42]2 years ago

7 0

Answer:

The correct option is A.

Step-by-step explanation:

The area of a triangle is

$A=\frac{1}{2}\times base \times height$

From the given figure it is clear that the base of the triangle is 15 units and the height of the triangle is 13 units.

The area of the triangle is

$A=\frac{1}{2}\times 15 \times 13$

$A=97.5$

The area of triangle is 97.5 square units. Therefore option A is correct.

You might be interested in

Can you simplify before multiplying 14×25/27

castortr0y [4]

Answer:

No.

Step-by-step explanation:

You can not simplify this expression before multiplying it, because no whole numbers go into both 14 and 27, and also no whole numbers go into both, 25 and 27. This is the correct answer to this question.

Hope this helps!!!

Kyle.

5 0

2 years ago

A quality-control inspector is testing a batch of printed circuit boards to see wheater they are capable of performing in a high

avanturin [10]

Answer:

see explaination

Step-by-step explanation:

Here the null hypothesis is that the PCB survives against the alternate that the PCB 'does not survive'. The test says that the PCB will survice if it is classified as 'good'; or, it will not survive if it is classifies as 'bad'.

a. The Type II error is the error committed when a PCB which cannot actually survive is classified as 'good'.

b. Therefore P(Type II error) = P(The PCB is classified as 'good' | PCB does not survives) = 0.03.

6 0

2 years ago

A dormitory has 40 students---12 sophomores, 8 juniors, and 20 seniors. Which of the following is equal to the number of ways to

Maurinko [17]

Answer:

The number of ways is equal to $12!8!20!$

Step-by-step explanation:

The multiplication principle states that If a first experiment can happen in n1 ways, then a second experiment can happen in n2 ways ... and finally a i-experiment can happen in ni ways therefore the total ways in which the whole experiment can occur are

n1 x n2 x ... x ni

Also, given n-elements in which we want to put them in a row, the total ways to do this are n! that is n-factorial.

For example : We want to put 4 different objects in a row.

The total ways to do this are $4!=4.3.2.1=24$ ways.

Using the multiplication principle and the n-factorial number :

The number of ways to put all 40 in a row for a picture, with all 12 sophomores on the left,all 8 juniors in the middle, and all 20 seniors on the right are : The total ways to put all 12 sophomores in a row multiply by the ways to put the 8 juniors in a row and finally multiply by the total ways to put all 20 senior in a row ⇒ $12!8!20!$

4 0

2 years ago

point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). what is the point of B?

irina [24]

Answer:

B = (7, 2)

Step-by-step explanation:

B = 2M -A

B = 2(3, 4) -(-1, 6) = (2·3-(-1), 2·4-6)

B = (7, 2)

_____

The expression for the other end point, B, comes from the equation for the midpoint.

M = (A +B)/2

2M = A + B . . . . . multiply by 2

2M -A = B . . . . . . subtract A to get an expression for B

4 0

2 years ago

The bottom of a large theater screen is 3ft above your eye level and the top of the acreen is 10ft above your eye level. Assume

Anna71 [15]

As usual, draw a diagram. You can easily see that if you are x away from the wall,

the angle of elevation of the bottom of the screen (A) is 

cotA = x/3 
A = arccot(x/3) 

angle B to the top is 

cotB = x/10 
B = arccot(x/10) 

So, since θ = B-A 
dθ/dt = dB/dt - dA/dt 
= -3/(x^2+9) + 10/(x^2+100) 
= 7(x^2-30)/((x^2+9)(x^2+100)) 

so, at x=30 
dθ/dt = 203/30300

5 0

2 years ago