What is the area of a figure with vertices(1,1), (8,1) , and (5,5)?

Answers

Answer 1

Answer: It will be a triangle
Calculating sides of this triangle
A(1,1)
B(8,1)
C(5,5)
side a-AB= $\sqrt{(8-1)^(2)+( 1-1)^(2) ) }= \sqrt{ 7^(2) }=7$
side b-AC= $\sqrt{(5-1)^(2)+( 5-1)^(2) ) }= \sqrt{ 4^(2)+4^(2) }=[tex] √(36)$ =6 [/tex]
side c-BC= $\sqrt{(5-8)^(2)+( 5-1)^(2) ) }= \sqrt{ (-3)^(2)+4^(2) }=[tex] √(25)$ =5 [/tex]
Area of the triangle from Herone formula:
A= $√(p(p-a)(p-b)(p-c))$
p= $(1)/(2)(a+b+c)$ = $(1)/(2)(7+6+5)$ =9
A= $√(9(9-7)(9-6)(9-5))$ = $√(9*2*3*4)$ = $√(216)$
Area is $√(216)$

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A loan of $900 will be repaid in 36 installment payments of $30.22 each. What the finance charge for the loan?

Answers

First you need to multiply 36 *$30.22=$1087.92
This gives you the total amount paid

Then subtract 1087.92-900=187.92
This gives you the amount of money you paid in finance charges.

10 + 10 =20
the answer is 20

Answers

Answer:

YEP! YOURE CORRECT!

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

How to change 3\8to decimal fraction

Answers

answer:

To change 3/8 to a decimal fraction, you need to divide the numerator (3) by the denominator (8).

1. Divide the numerator (3) by the denominator (8): 3 ÷ 8.

2. Perform the division: 3 ÷ 8 = 0.375.

So, 3/8 as a decimal fraction is 0.375.

In conclusion, to change 3/8 to a decimal fraction, you divide 3 by 8, which gives you the decimal value of 0.375.

alli <3

Subtract.(x + 1) - (-2x - 5)
A) 6 –x
B) -x - 4
C) 3x - 4
D) 3x + 6

Answers

(x + 1) - (-2x - 5)

Distribute the negative into the parenthesis

x + 1 + 2x + 5

Rearrange the terms

x + 2x + 1 + 5

Add like terms

3x + 6

Your answer is D.

10 people meet, and each person shakes every other person's hand once. How many handshakes occurred?

Answers

Answer:

45 handshakes

Step-by-step explanation:

If there are n persons and each person shakes every other person hand once then the total number of handshakes are $(n(n-1))/(2)$

Now, it has been given that 10 people meet, and each person shakes every other person's hand once.

Therefore, n = 10.

Hence, from the above mentioned formula, we have

Total number of handshakes =

$(n(n-1))/(2)$

$=(10(10-1))/(2)$

$=(10*9)/(2)$

$=5*9$

$=45$

Hence, total 45 handshakes were occurred.

45 handshakes would take place! i've attached how i figured this out (pardon the scribbles)

Solve equation for the given variable 7x + 18 = -24

Answers

ok, the first thing we need to do it to isolate the variable.

7x+18=-24
-18 -18
7x=-42

then divide to cancel out multiplication

7x=-42
--- ---
7 7

x=-6

7x + 18 = -24

Take 18 to the other side.
7x + 18 - (18) = -24 - (18)
7x = -42

Divide both sides by 7:
$(7x)/(7)$ = $-(42)/(7)$
7 and 7 cancels out

x = -6

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