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maxonik [38]
3 years ago
11

This is urgent, please answer!!

Mathematics
1 answer:
Serhud [2]3 years ago
3 0
Answer: 23.4

Explanation: make the volumes equal each other with the ? as x. Then solve.
(12)(18)(32.5)=(25)(12)x
Divide both sides by 12
(18)(32.5)=25x
Solve left side
585=25x
Divide by 25
x=23.4
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In this triangle, the product of sin B and tan C is<br> and the product of sin Cand tan B is
Ipatiy [6.2K]

Answer:

\frac{c}{a} and \frac{b}{a}

Step-by-step explanation:

sinB = \frac{opposite}{hypotenuse} = \frac{AC}{BC} = \frac{b}{a}

tanC = \frac{opposite}{adjacent} = \frac{AB}{AC} = \frac{c}{b}

Thus

sinB tanC = \frac{b}{a} × \frac{c}{b} ( cancel b on numerator/ denominator )

                 = \frac{c}{a}

---------------------------------------------------------------------------

sinC = \frac{opposite}{hypotenuse} = \frac{AB}{BC} = \frac{c}{a}

tanB = \frac{opposite}{adjacent} = \frac{AC}{AB} = \frac{b}{c}

Thus

sinC tanB = \frac{c}{a} × \frac{b}{c} ( cancel c on numerator/ denominator )

                 = \frac{b}{a}

7 0
2 years ago
The regular price of a child's entry ticket to a water park is $8 less than that for an adult's. The park offers half off all en
inessss [21]

Answer:

76

Step-by-step explanation:

so first the equation for the situation has been given which is

194=1/2x + 2x - 16

now you can just solve since it's a linear equation

194=2.5x -16

take 16 to the other side to get

210=2.5x

solve to get x (adult price)

which is 84

remember the. child's price is 8 less

84-8=76

4 0
3 years ago
ASAP PLEASE HELP!!!
Mariulka [41]

Z score = (x -mean) /  standard deviation.

For this problem X = 50 cm.

Z-score = (50 - 49.2) / 1.8

Z score = 0.8 / 1.8

Z score = 0.44

Look up 0.44 on a z-score table.

0.44 = 0.6700

0.67 x 100 = 67% will be 50 cm or longer.

8 0
3 years ago
Y=6x-11 -2x-3y=-7 solve each system of equation by substitution
Anit [1.1K]

Answer:

(2, 1 )

Step-by-step explanation:

Given the 2 equations

y = 6x - 11 → (1)

- 2x - 3y = - 7 → (2)

Substitute y = 6x - 11 into (2)

- 2x - 3(6x - 11) = - 7 ← distribute and simplify left side

- 2x - 18x + 33 = - 7

- 20x + 33 = - 7 ( subtract 33 from both sides )

- 20x = - 40 ( divide both sides by - 20 )

x = 2

Substitute x = 2 into (1) for corresponding value of y

y = 6(2) - 11 = 12 - 11 = 1

Solution is (2, 1 )

5 0
3 years ago
The diameter of a sphere is 6 cm. What is the volume of the sphere?
irinina [24]

Answer:

36pi

Step-by-step explanation:

the volume of a sphere is equal to 4/3 x pi x r^3

the radius is half of the diameter

3^3=27

27x4/3=36

36pi

6 0
2 years ago
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