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3 years ago

Figure ABCD is a kite.

Mathematics

2 answers:

Oksi-84 [34.3K]3 years ago

5 0

22 unitssssssss equal sides

Vinvika [58]3 years ago

3 0

Answer:

the answer is 22 units,hope it helps

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Peter deposited $5000 in a bank paying 5% interest compounded yearly. Find the balance in his account after 3 years.

Anton [14]

Answer:

5750

Step-by-step explanation:

$\frac{5}{100}$ ×5000=250

250×3=750

5000+750=5750

4 0

3 years ago

Factor the expression 12x^2 +7x+1

Leona [35]

Answer:

$\boxed{\textsf{ The factorised form is \textbf{(4x+1)(3x+1)}.}}$

Step-by-step explanation:

A quadratic polynomial is given to us and we need to find its factorised form . The given quadratic polynomial is ,

$\sf\implies p(x)= 12x^2+7x+1$

And this equation is similar to the equation in ax² + bx + c form . So in order to factorise it .

Step 1: Multiply the coefficient of x² with the constant term .

Here the coefficient of x² is 12 and the constant term is 1 . So on multiplying them we get 12*1= 12 .

Step 2: Look out for the possible factors of the number .

Here the obtained number is 12 . So the possible factors of 12 is

1 *12
-1*-12
2*6
-2*-6
4*3
-4*-3

Step3: Choose the factor whose sum is equal to the coefficient of the middle term .

Here we can see that the middle term is 7 . And the sum of 4 and 3 is equal to 7 . Hence here we will break 7x as 4x + 3x .

Step 4: After proper arrangements take out the common term and then factorise.

After suitable rearrangment we get ,

$\sf\implies p(x)= 12x^2+4x+3x+1 \\\\\sf\implies p(x)= 4x(3x+1)+1(3x+1) \\\\\implies\boxed{\red{\sf p(x)= (4x+1)(3x+1)}}$

7 0

2 years ago

Kim bought 24 apples at the market. She put 4 apples into each of 4 drawers in her kitchen. She gave the rest of them to her fri

Maru [420]

Kim bought 24 apples at the market.
She put 4 apples into each of 4 drawers in her kitchen.
She gave the rest of them to her friend.
How many apples did?

First lets find out how many she put in the drawers.

We know
4 apples per draw
4 drawers = ? apples

4 × 4 = 16
4 drawers = 16 apples

How many does she give her friend when she buys 24 apples and keeps 16 apples?

24 - 16 = amount of apples she gives her friend.
24 - 16 = 8
Kim gives her friend 8 apples.

Answer: D. 8

6 0

3 years ago

Pls help give u brainlist

Elenna [48]

Answer:

The rate of change is $\frac{7}{4}$ or 1.75. That shows that the cost per video game is $1.75

Step-by-step explanation:

The change in y over change of x or slope can be calculated using the equation:

$m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }$ so take the last two points: (10, 25) and (15, 33.75).

33.75-25=8.75

15-10=5

8.75/5=1.75 (7/4)

x=video games

y=total cost

Since slope is change in y (cost) per change of x (video games), the answer is:

1.75 cost per video game

8 0

2 years ago

Barry's employer pays $1,945 in health insurance and $234 in life insurance per year. He also gets $4,213 in paid time off per y

My name is Ann [436]

Step-by-step explanation:

the job benefits is everything he gets in addition to the regular salary.

that is here

$1945 health insurance

$ 234 life insurance

$4213 paid time off

----------

$6392 job benefits per year

4 0

2 years ago