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3 years ago

Which are ways to decompose the composite figure into simpler shapes that you have area formulas for? Check all that apply.

Mathematics

1 answer:

Oksanka [162]3 years ago

4 0

Answer:

1st and second, unless you have already learned area of trapezoids. If you have, add third

Step-by-step explanation:

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Carlotta is making cookies for a party. Her recipe calls for 2 eggs and 1 3/4 cups of flour. If Carlotta makes a large batch of

yanalaym [24]

Well we know that every 2 eggs requir 1 and 3/4 of flour so the easiest thing to do here (for me at least) is to round the fraction to the nearest whole number which in this case will be 1. Now that that's done we can say every 2 eggs calls for 2 cups of flour. Now all you need to do is multiply 2 by 9 to get 18 then put that in fraction form it'll be 17 and 3/4 cups of flour. I hope this helps!

7 0

3 years ago

Plz help!

jek_recluse [69]

Step-by-step explanation:

let's look at the last line :

x³ + 8x - 3 = Ax³ +5Ax + Bx² + 5B + Cx + D

since we find A, B, C, and D by simply comparing the factors of the various terms in x (or constants) in both sides of the equation, we need to combine a few terms on the right hand side (so that we have one term per x exponent grade).

x³ + 8x - 3 = Ax³ + (5A + C)x + Bx² + (5B + D)

by comparing now both sides, to make both sides truly equal, the factors have to be equal.

A = 1 (the same as for x³ on the left hand side).

B = 0 (a we have no x² on the left side).

5A + C = 8 (a 8 is the factor of x in the left side).

5×1 + C = 8

5 + C = 8

C = 3

5B + D = -3 (as the constant term is -3 on the left side).

5×0 + D = -3

D = -3

so, the 4th answer option is correct.

7 0

2 years ago

Lacy draws a diamond from a standard deck of 52 cards. Without replacing the first card, she then proceeds to draw a second card

Viktor [21]

Answer:

a) i) No

ii) Probability of drawing a diamond and then spade without replacement is 0.0637.

b) i) Yes

ii) Probability of drawing a diamond and then spade with replacement is 0.0625

Step-by-step explanation:

Part a) Without replacement:

i) Are these events independent?

No, because the both events are dependent. because a card taken out of the deck is not replaced back before taking out the other card so the chances of event occur change.

ii) Determine the probability of drawing a diamond and then a spade without replacement.

Probability of drawing a diamond and then spade = (Probability of drawing a diamond) * (Probability of drawing a spade)

Probability of drawing a diamond :

Total cards in deck = 52

Diamonds = 13

Probability of drawing a diamond = 13/52

Probability of drawing a spade:

Total cards in deck after taking diamond = 52 -1 =51

Spades = 13

Probability of drawing a spade = 13/51

Probability of drawing a diamond and then spade = 13/52 * 13/51

= 169/2652

=0.0637

So, Probability of drawing a diamond and then spade without replacement is 0.0637

Part b) With replacements

i) Are these events independent?

Input Yes or No:

Yes, these events are independent because a card taken out of the deck is replaced back before taking out the other card so the chances of event occur doesn't change.

ii) Determine the probability of drawing a diamond and then a spade with replacement.

Probability of drawing a diamond and then spade = (Probability of drawing a diamond) * (Probability of drawing a spade)

Probability of drawing a diamond :

Total cards in deck = 52

Diamonds = 13

Probability of drawing a diamond = 13/52

Probability of drawing a spade:

Total cards in deck after replacing diamond = 52

Spades = 13

Probability of drawing a spade = 13/52

Probability of drawing a diamond and then spade = 13/52 * 13/52

= 169/2704

=0.0625

So, Probability of drawing a diamond and then spade with replacement is 0.0625

7 0

3 years ago

What is m 50<br> 65<br> 140<br> 155

Butoxors [25]

Answer:

65 degrees.

Step-by-step explanation:

Since angle JLG is 115 degrees, andgle JLH must be 65 because the two angles are supplementary, which means they add up to 180 degrees.

8 0

3 years ago

Two of the vertices Of a rectangle are(1,-6) and (-8,-6). If the rectangle has a perimeter of 26 units what are the coordinates

Bezzdna [24]

The other points would be (-8, -2) and (1, -2)

3 0

3 years ago