All categories

4 years ago

Help me with this please!

Mathematics

2 answers:

Mrac [35]4 years ago

6 0

Answer:

Area of triangle = 20√2

Step-by-step explanation:

Formula:

Area of triangle = bh/2

b - base of triangle

h - height of triangle

Distance formula

d = √(x₂ - x₁)² +(y₂ - y₁)²

From the figure we can see that, the given triangle is right angled triangle.

Base = AC and Height = AB

To find AB and AC

A(1,3), B(4,7) and C(9, -5)

AB = √(4 - 1)² +(7 - 3)² = √(3² + 4²) = 5

AC = √(9 - 1)² +(-5 - 3)² = √(8² + -8²) = 8√2

To find the are of triangle

Area = bh/2 = (5* 8√2)/2 = 20√2

Schach [20]4 years ago

6 0

Answer:

Area = 20√2 is the area of triangle.

Step-by-step explanation:

We have given the triangle in the graph.

We have to find the area of the triangle.

The formula for the area of triangle is :

Area = 1/2(base×height)

In the graph, the base is represented by AC, and height is represented by AB.

First, we use distance formula to find AC and AB.

Base = AC =√(9-1)² + (-5-3)² = 8√2

Height = AB=√(4-1)² +(7-3)² = 5

Put this values of height and base in the formula we get,

Area = 1/2 (8√2 ×5)

Area = 20√2 is the area of triangle.

You might be interested in

Find the major intercepts for the ellipse shown below. A. (0, ±3) B. (±3, 0) C. (±2, 0)

Serggg [28]

Answer:

A(0,+3)

Step-by-step explanation:

Hopefully this helps

5 0

3 years ago

Explain the difference between 10°C and -10°C on a Thermometer

Lana71 [14]

Answer:

10°C is above ice point while -10°C is below ice point

4 0

3 years ago

1.Multiply and simplify if possible.

vivado [14]

Answer:

One sqrt(7)*x -49sqrt(x)

Two -30sqrt(2)a

Right: - 3 cuberoot(2a)

Step-by-step explanation:

Left Questions

One

sqrt(7)x ((sqrt(x) - 7sqrt(7) ) Remove the Brackets

sqrt(7x) * sqrt(x) - sqrt(7x) * 7sqrt(7)
√(7*x)*sqrt(x) - 7*7*sqrt(x) Combine
√7 (x) - 49x

This question has a a slight bit of ambiguity in it. Is the x outside the brackets underneath the root sign or not? I have taken it as not. Leave a note if I am wrong. Edit: This question clears itself when you use the original statement. I think it is correctly represented now. When you use √ you have to use brackets to show what is under the root sign.

Two

You can take a lot of common factors out side the brackets.

The common factors are 3*sqrt(2)*a When you do that, you are left with

3*sqrt(2)*a * ( 11 - 21)
3*sqrt(2)*a * (-10)
The final answer is
-30sqrt(2)*a

Of course there are other, more direct ways of doing this.

Right Question.

The problem here is answering in such a way that you are showing work.

Let z = 3∛(2a)

The problem now becomes

z*(1 - 2)

- z

Now substitute back

-3∛(2a) Answer

5 0

3 years ago

Round your answer to the nearest hundredth

Veronika [31]

Step-by-step explanation:

step 1. sinA = 5/8

step 2. A = sin^(-1)(5/8) = 38.68°

7 0

3 years ago

A 4-digit PIN number is selected. What it the probability that there are no repeated digits?

geniusboy [140]

Answer:

$P(A)=0.504$ or 50.4%

Step-by-step explanation:

The probabilities constitute a branch of mathematics that deals with measuring or quantitatively determining the possibility that an event or experiment produces a certain result. The probability is based on the study of combinatorics and is the necessary foundation of statistics.

A permutation is an ordered arrangement of objects in a group, without repetitions.

A 4-digit PIN is selected. What is the probability that there are no repeated digits?

First, there are only 10 possible values for each digit of the PIN (0, 1, 2, 3, 4, 5, 6, 7, 8, 9). The total possibles 4 PINs are $10^{4} =10000$

There's no repeated numbers and all the four numbers have to be different, which means we have to select 4 numbers out of 10 numbers. Using the permutation equation $nP_{k} =\frac{n!}{(n-k)!}$

$10P_{4} =\frac{10!}{(10-4)!}=10.9.8.7.6= 5040$

So, the probability that there are no repeated digits is:

P(A)=favorable cases/possible cases

$P(A)=\frac{5040}{10000}=0.504$ or 50.4%

5 0

4 years ago