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alina1380 [7]
4 years ago
12

In ΔABC, m∠ACB = 90°, CD ⊥ AB and m∠ACD = 45°. Find: AC, if CD = 6√2 in.

Mathematics
1 answer:
klio [65]4 years ago
5 0

Answer:

AC = 12 units.

Step-by-step explanation:

Δ ACD is right-angled. ( as CD ⊥ AB).

cos 45° = CD / AC = 6√2 / AC

AC = 6√2 / cos 45°

AC = 6√2 / 1 /√2

= 6√2 *√2

= 6 * 2

= 12   (answer)

HOPE THIS HELPED ;3

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Karli produces organic cheese from milk supplied by an organic dairy. Karli pays an average of $8.00 for 10 gallons of the organ
blondinia [14]

Answer:

d. $43.00

Step-by-step explanation:

Karli's total cost is ...

total cost = material cost + labor cost

= ($8.00/10 gal)·(5 gal) + ($13.00/h)·(3 h)

= $4.00 + $39.00

= $43.00

4 0
3 years ago
Mrs. Carter needs 1/2 meter of cloth to make a pillowcase. How many pillowcases can she make with 5 meters of cloth?​
AfilCa [17]

Answer:

10 pillowcases

Step-by-step explanation:

6 0
3 years ago
PLEEEEEEEAAAAAAASSSSSSSSSSEEEEEEEEEEE help me!!!!!!!!!!
defon

Answer:

\boxed{\sf \ \ \ \dfrac{18}{(x-7)(x+12)(x+30)} \ \ \ }

Step-by-step explanation:

hello,

first of all we will study the quadratic expressions

we can write that, (the different answers provide good clues :-) )

x^2+5x-84=(x-7)(x+12)

and

x^2+23x-210=(x-7)(x+30)

so first of all as we cannot divide by 0 we need to take x different from 7, -12 and -30 and then we can write

\dfrac{1}{x^2+5x-48}-\dfrac{1}{x^2+23x-210}=\dfrac{1}{(x-7)(x+12)}-\dfrac{1}{(x-7)(x+30)}\\\\=\dfrac{(x+30) -(x+12)}{(x-7)(x+12)(x+30)}=\dfrac{x+30-x-12}{(x-7)(x+12)(x+30)}\\\\=\dfrac{18}{(x-7)(x+12)(x+30)}

hope this helps

7 0
3 years ago
A martial artist is practicing breaking 5 boards. He is able to break a board with probability 0.8. (a) What is the probability
konstantin123 [22]

Answer:

(a) = 0.32 or 8/25

(b) = 0.48 or 12/25

(c) = 4 Boards

Step-by-step explanation:

(a):

0.8 x 2/5

8/10 x 4/10

(8 x 4) / (10 x 10)

(32) / (100)

0.32 or 8/25

(b):

0.8 x 3/5

8/10 x 6/10

(8 x 6) / (10 x 10)

(48) / (100)

0.48 or 12/25

(c):

0.8 x 5

8/10 x 50/10

(8 x 50) / (10 x 10)

(400) / (100)

4 Boards

4 0
4 years ago
Solve for x -8x = -48
Ludmilka [50]

<u><em>Answer: x=6 *The answer should be the positive sign.*</em></u>

Step-by-step explanation:

division property of equality is dividing both sides of an equation by the same non-zero number does not change the equation.

divide by -8 both sides of an equation.

-8x/-8=-48/-8

48/8=6

48/6=8

8*6=48

x=6

Hope this helps!

Thanks!

Have a great day!

5 0
3 years ago
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