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Anton [14]
3 years ago
9

Please help me asap! I don’t understand

Mathematics
2 answers:
Nataly_w [17]3 years ago
4 0
Answer:

Area = 18

Step-by-step explanation:

Area = length x width

but oops there isn’t a length so we must use Pythagorean theorem

Pythagorean theorem: a^2 + b^2 = c^2 in this case we’re looking for side a

a^2 + 4^2 = 5^2

a^2 + 16 = 25

a^2 = 25 - 16

a^2 = 9

Then square root 9 = 3

so the length is 3

Then we can start solving for area!

Area = length x width

Area = 3 x 4

Area = 12

Now for the triangle

Area = 1/2 bh

Area = 1/2 (4)(3)

Area = 1/2 12

Area = 6

6 + 12 = 18
creativ13 [48]3 years ago
3 0

Answer:

18

Step-by-step explanation:

4*3 = 12

1/2 * 3 * 4  = 6

You might be interested in
2) (6x+5)+(-5+3)
GaryK [48]

Answer:

6x + 3

Step-by-step explanation:

6x + 5 - 5 + 3

6x + 3

5 0
3 years ago
Hi guys can you help me evaluating expressions <br><br> Please
EastWind [94]

26.) 3(2)² - 8(-3)²

= 3*4 - 8 + 9

= 12 - 8 + 9 = 13

27.) I 7 - 4(2) I

7 - 8 = -1, but  since this is absolute value, which is a number's distance from zero, your answer for 27 would be a positive one.

28.) (-2)² + 2(-3 * 1)

= 4 + 2(-3)

= 4 + (-6) = 4 - 6 = -2

29.) 7(-4)² + 5 / 4(1) - (-5)

=7 * 16 + 5 / 4 + 5

= 112 + 5 / 9 = 117/9 = 13

30.) Product: the result of a multiplication problem

Increased by: multiplied by

3(n * 7)

31.) 2n - 1

5 0
3 years ago
3 cards are drawn from a standard deck without replacement. What is the probability that at least one of the cards drawn is a re
Rudik [331]

Answer: \dfrac{15}{17}

Step-by-step explanation:

Total number of cards in a deck = 52

Number of red cards = 26

Number of cards not red =

Number of ways to draw not red cards = ^{26}C_3

Total ways to draw 3 cards = ^{52}C_3

The probability that none of three cards are red = \dfrac{^{26}C_3}{^{52}C_3}

=\dfrac{\dfrac{26!}{3!(26-3)!}}{\dfrac{52!}{3!(52-3)!}}  [∵ ^nC_r=\dfrac{n!}{r!(n-r)!}]

=\dfrac{\dfrac{26\times25\times24\times23!}{(23)!}}{\dfrac{52\times51\times50\times49!}{3!(49)!}}=\dfrac{2}{17}

Now , the probability that at least one of the cards drawn is a red card = 1- Probability that none cards are red

=1-\dfrac{2}{17}=\dfrac{17-2}{17}=\dfrac{15}{17}

Hence, the required probability = \dfrac{15}{17}

6 0
3 years ago
Factor completely.<br> 150m^2nz+20mn^2c-120m^2nc-25mn^2z
Anika [276]

Answer:

The factor form is:

5mn\left(6m-n\right)\left(5z-4c\right)

Step-by-step explanation:

Here we have to find the factor of the expression:

150m^2nz+20mn^2c-120m^2nc-25mn^2z

So we need to take out the common terms, as we do for finding the greatest common factors.

Now the expression that is given can be re-written as:

150m^2nz+20mn^2c-120m^2nc-25mn^2z\\=150mmnz+20mnnc-120mmnc-25mnnz\\=30\cdot \:5nmmz+4\cdot \:5nmnc-24\cdot \:5nmmc-5\cdot \:5nmnz

Next, we will find the common terms, as follows;

30\cdot \:5nmmz+4\cdot \:5nmnc-24\cdot \:5nmmc-5\cdot \:5nmnz\\=5nm\left(30mz+4nc-24mc-5nz\right)\\

Now  we will factorise the expression:

\left(30mz+4nc-24mc-5nz\right)\\

as follows;

\left(30mz+4nc-24mc-5nz\right)\\=6m\left(5z-4c\right)+n\left(4c-5z\right)\\=\left(-4c+5z\right)\left(6m-n\right)\\

So the final factor form is:

150m^2nz+20mn^2c-120m^2nc-25mn^2z=5mn\left(6m-n\right)\left(5z-4c\right)

8 0
3 years ago
Which of the binomials below is a factor of this trinomial?
Irina18 [472]
I hope this helps you




5.(x^2+3x-10)


x +5


x -2



5. (x+5)(x-2)
8 0
3 years ago
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