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3 years ago

13

Find the area of the composite figure

1 answer:

nordsb [41]3 years ago

5 0

Answer:

162 in

Step-by-step explanation:

Split this shape into two rectangles:

The big rectangle has a base of 16 and a height of 7 (subtract 12-5=7 for height) Multiply base*height to get area of big rectangle:

16*7 = 112 in

The small rectangle has a base of 10 and a height of 5. Mulitply base*height to get area of small rectangle:

10*5 = 50 in

Add both areas together:

112+50= 162 inches

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Need help on number 1, 5 and 7

zimovet [89]

Answer:

1) y = (x + 8)² + 7; 5) y = (x - 6)² + 10; 7) y = (x - 3)² - 4

Step-by-step explanation:

Complete the square in order to figure these out. To complete the square, use the formula <em>[½B]</em><em>²</em><em>.</em><em> </em>Each time you do this, you get a perfect trinomial in the form of a product of two monomials [<em>h</em>], then you have to figure out how much more to deduct from or add on to your <em>C</em><em> </em>they gave you in each exercise [<em>k</em>].

If you are still in need of assistance, do not hesitate to let me know and subscribe to my channel [username: MATHEMATICS WIZARD].

I am joyous to assist you anytime.

4 0

3 years ago

Ross chose a card at random from a deck of 52 cards. Ross replaced the card and then chose a second card. What is the probabilit

DaniilM [7]

Answer:

$\frac{1}{208}$

Step-by-step explanation:

We have been given that Ross chose a card at random from a deck of 52 cards. Ross replaced the card and then chose a second card.

Let us find probability of getting a club.

$\text{ Probability of getting a club}=\frac{13}{52} =\frac{1}{4}$

Now let us find probability of getting the ace of spades.

$\text{ Probability of getting ace of spades}=\frac{1}{52}$

Now let us multiply these to find probability of getting a club and ace of spades.

$\text{ Probability of getting a club and then ace of spades}=\frac{1}{4}*\frac{1}{52}=\frac{1}{208}$

Therefore, probability of getting a club and then the ace of spades $\frac{1}{208}$ .

8 0

3 years ago

If your starting salary were $40,000 and you received a 3% increase at the end of every year for 15 years, what would be the tot

Dmitry [639]

T = 40000 + 40000(1.03) + 40000(1.03)^2 + ... + 40000(1.03)^15

Multiply the above equation by 1.03 giving

1.03(T) = 40000(1.03) + 40000(1.03)^2 + 40000(1.03)^3 + ... + 40000(1.03)^15 + 40000(1.03)^16

Now subtract the first equation from the second to give

0.03T = 40000(1.03)^16 - 40000

0.03T = 40000(1.03^16 - 1)

0.03T = 24188.26

T = 24188.26 / 0.03 = $806275.25

6 0

3 years ago

Read 2 more answers

How much longer is a 1inch button than a 3/8 inch button

neonofarm [45]

5/8 inches longer since 8/8 - 3/8 = 5/8

4 0

3 years ago

Complete the square for the expression, then factor the trinomial.

Nuetrik [128]

Answer:

Completing the square we get: $(x-2)^2-(2)^2$

and factoring the term we get: $x(x-4)$

Step-by-step explanation:

We need to complete the square for the expression $x^2-4x$

For completing the square the expression would be of form $a^2+2ab+b^2=(a+b)^2$

For given expression we have to add (2)^2 and subtract to make it complete the square.

$x^2-2(x)(2)+(2)^2-(2)^2\\(x-2)^2-(2)^2$

Now, we have to factor the polynomial using formula $(a)^2-(b)^2=(a-b)(a+b)$

So, $(x-2)^2-(2)^2\\=(x-2-2)(x-2+2)\\=(x-4)(x-0)\\=x(x-4)$

Completing the square we get: $(x-2)^2-(2)^2$

and factoring the term we get: $x(x-4)$

5 0

3 years ago