In matrice find the transpose of (1 -3)(-2 4)

What is the area of this triangle ?

oee [108]

Answer:

Area of triangle is 9.88 units^2

Step-by-step explanation:

We need to find the area of triangle

Given E(5,1), F(0,4), D(0,8)

We will use formula:

$Area\,\,of\,\,triangle =\sqrt{s(s-a)(s-b)s-c)} \\where\,\, s = \frac{a+b+c}{2}$

We need to find the lengths of side DE, EF and FD

Length of side DE = a = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side DE = a = $=\sqrt{(5-0)^2+(1-8)^2}\\=\sqrt{(5)^2+(-7)^2}\\=\sqrt{25+49}\\=\sqrt{74}\\=8.60$

Length of side EF = b = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side EF = b = $=\sqrt{(0-5)^2+(4-1)^2}\\=\sqrt{(-5)^2+(3)^2}\\=\sqrt{25+9}\\=\sqrt{34}\\=5.8$

Length of side FD = c = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side FD = c = $=\sqrt{(0-0)^2+(8-4)^2}\\=\sqrt{(0)^2+(4)^2}\\=\sqrt{0+16}\\=\sqrt{16}\\=4$

so, a= 8.60, b= 5.8 and c = 4

s = a+b+c/2

s= 8.6+5.8+4/2

s= 9.2

Area of triangle= $=\sqrt{s(s-a)(s-b)s-c)}\\=\sqrt{9.2(9.2-8.6)(9.2-5.8)(9.2-4)}\\=\sqrt{9.2(0.6)(3.4)(5.2)}\\=\sqrt{97.5936}\\=9.88$

So, area of triangle is 9.88 units^2

4 0

3 years ago

Ben needs to buy orange juice he can buy 64 fl oz at the grocery store for $2.00 or he can buy 256 fl oz at the whole sale for $

Sholpan [36]

1. 2.00/64=3.125 cents per oz
2. 7.50/256=2.930 cents per oz.
3. The best deal is at the whole sale

8 0

3 years ago

As part of a research project on student debt at TWU, a researcher interviewed a sample of 35 students that were chosen at rando

Inga [223]

Answer:

Option a is right

Step-by-step explanation:

Given that as part of a research project on student debt at TWU, a researcher interviewed a sample of 35 students that were chosen at random concerning their monthly credit card balance.

Sample average = 2573

Variance = 4252

Sample size = 35

STd deviation of X = $\sqrt{4252} \\=65.21$

Score of student selected at random X=1700

Corresponding Z score = $\frac{1700-2573}{65.201} \\=-13.38$

Rounding of we get Z score = -13.4

option a is right

6 0

3 years ago

I need help with b. please

aniked [119]

Its 1/5,

35/100 - 15/100 = 20/100

for 20, 40, 60, 80, 100
1, 2, 3, 4, 5

so 20/100 = 1/5

8 0

2 years ago

Which expression shows 48+36 written as a protuct of two factors

nirvana33 [79]

Answer:

12(4+3)

Step-by-step explanation:

Factor out all of the problems.

Starting with 4(12+4)

This means (4*12)+(4*4)

48+16 is the answer to this

this isn't 48 + 36

12(4+3) is next

12*4 = 48

12*3 = 36

48+36 = 48 + 36

Therefore 12(4+3) is your answer

hope that helps!

hope this is what your looking for

8 0

2 years ago