What is the value of this expression when g=-3.5

What is the TOTAL area of polygon The total area is__________square centimeters.

Degger [83]

Answer:

66

Step-by-step explanation:

Find the area of the rectangle, then add up the area of the triangle.

The area of the rectangle

= 5 × 12

= 60 cm²

The base of the triangle

= 12 - 9

= 3 cm

The height of the triangle

= 9 - 5

= 4 cm

The area of the triangle

= (3 × 4) ÷ 2

= 6 cm²

The total area of the figure

= 60 + 6

= 66 cm²

6 0

3 years ago

Find the slope of the line that goes through the points (-4, 4) and (4, 6).

Sidana [21]

Answer:

m/ 0.25

Step-by-step explanation:

dint kill me if its wrong

6 0

3 years ago

Read 2 more answers

Calculating conditional probabilities - random permutations. About The letters (a, b, c, d, e, f, g) are put in a random order.

Evgesh-ka [11]

A="b is in the middle"

B="c is to the right of b"

C="The letter def occur together in that order"

a) b can be in 7 places, but only one is the middle. So, P(A)=1/7

b) X=i, "b is in the i-th position"

Y=j, "c is in the j-th position"

$P(B)=\displaystyle\sum_{i=1}^{6}(P(X=i)\displaystyle\sum_{j=i+1}^{7}P(Y=j))=\displaystyle\sum_{i=1}^{6}\frac{1}{7}(\displaystyle\sum_{j=i+1}^{7}\frac{1}{6})=\frac{1}{42}\displaystyle\sum_{i=1}^{6}(\displaystyle\sum_{j=i+1}^{7}1)=\frac{6+5+4+3+2+1}{42}=\frac{1}{2}$

P(B)=1/2

c) X=i, "d is in the i-th position"

Y=j, "e is in the j-th position"

Z=k, "f is in the i-th position"

$P(C)=\displaystyle\sum_{i=1}^{5}( P(X=i)P(Y=i+1)P(Z=i+2))=\displaystyle\sum_{i=1}^{5}(\frac{1}{7}\times\frac{1}{6}\times\frac{1}{5})=\frac{1}{210}\displaystyle\sum_{i=1}^{5}(1)=\frac{1}{42}$

P(C)=1/42

P(A∩C)=2*(1/7*1/6*1/5*1/4)=1/420

$P(B\cap C)=\displaystyle\sum_{i=1}^{3} P(X=i)P(Y=i+1)P(Z=i+2)\displaystyle\sum_{j=i+3}^{6}P(V=j)P(W=j+1)=\displaystyle\sum_{i=1}^{3}\frac{1}{6}\frac{1}{7}\frac{1}{5}(\displaystyle\sum_{j=1+3}^{6}\frac{1}{4}\frac{1}{3})=1/420$

P(B∩A)=3*(1/7*1/6)=1/14

P(A|C)=P(A∩C)/P(C)=(1/420)/(1/42)=1/10

P(B|C)=P(B∩C)/P(C)=(1/420)/(1/42)=1/10

P(A|B)=P(B∩A)/P(B)=(1/14)/(1/2)=1/7

P(A∩B)=1/14

P(A)P(B)=(1/7)*(1/2)=1/14

A and B are independent

P(A∩C)=1/420

P(A)P(C)=(1/7)*(1/42)=1/294

A and C aren't independent

P(B∩C)=1/420

P(B)P(C)=(1/2)*(1/42)=1/84

B and C aren't independent

8 0

3 years ago

Write the compound statement "I'll exercise if I don't eat too much" in symbols.Let p = "I eat too much"q = "I'll exercise"A. ~p

butalik [34]

We can begin by rewriting the sentence in a more convenient way:

"If I don't eat too much, I'll exercise."

The phrase speaks about an action (exercise) that is going to be done provided a condition is fulfilled (don't eat too much) This is a conditional.

p = I eat too much

~p = I don't eat too much.

Then, if ~p happens, then q will happen

We can write this as

~p->q

With this, the correct answer is option D.

6 0

1 year ago

Nate's curtain company is making curtains for a local hotel. He wants each curtain to be 36 inches long. At the fabric store, fa

mr Goodwill [35]

36 inches is equal to 3 feet. He would multiply the length of each curtains (3ft) by the amount of curtains he needs(71) he would need 213 feet of fabric

8 0

3 years ago