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Ratling [72]
3 years ago
15

Solve. - 1/3b = 9 A. -3 B. 3 C. - 27 D. 27

Mathematics
2 answers:
Alexxx [7]3 years ago
7 0
B=9/(-1/3)
=9•3/-1
=27/-1
=-27
C
ruslelena [56]3 years ago
3 0
-\dfrac{1}{3}b=9\ \ \ |multiply\ both\ sides\ by\ (-3)\\\\-3\cdot\left(-\dfrac{1}{3}b\right)=-3\cdot9\\\\\huge\boxed{b=-27}\leftarrow\boxed{C}
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What is the volume of this square pyramid?
tatuchka [14]

Answer: 1296 cm³

Step-by-step explanation:

Since, the volume of a square pyramid is,

V = \frac{a^2h}{3}

Where a = side of the square base,

h = height of the pyramid,

By the given diagram,

a = 18 cm,

h = 12 cm,

Hence, the volume of the given pyramid,

V = \frac{18^2\times 12}{3}

= \frac{324\times 12}{3}

=\frac{3888}{3}

=1296 cube cm.

⇒ First option is correct.

5 0
3 years ago
Geometry pls help thanks
sveta [45]

Answer:

x=30

Step-by-step explanation:

it is an equilateral triangle, so all angles are the same. each angle is 60 degrees. 60/2 is 30, so 30 degrees is the answer.

5 0
2 years ago
Plssssss help fast!!!!Launching From a Tower
aleksandrvk [35]

Answer:

A. h = 64

B.  t = 4 -> 4 seconds

C. t = 1.5 -> 1.5 seconds

D. maximum height is 100 ft

E. The domain that makes sense for the function in this context is t

is any positive real number since time can not be negative.

Step-by-step explanation:

h = -16t2 + vt + 64

A. What tower platform height was the projectile launched from?

when the projectile was not launched, t = 0

h = -16(0)^2 + v(0) + 64 = 64

B. How long was the projectile in the air?

if the projectile lands, its height = 0 so substitute 0 for h

0 = -16(t)^2 + 48(t) + 64

  = -16(t^2 - 3t -  4)

 = -16(t - 4)(t + 1)

t = 4 or t = -1

Since time can not be negative, t = -1 can not be the answer. Therefore, the projectile lands when t = 4 or 4 seconds.

C. When did it reach its maximum height?

maximum -> t=-b/2a where in -16(t)^2 + 48(t) + 64, b = 48 and a = -16

t = -48/-32 = 1.5

D. What was its maximum height?

plug t = 1.5 into -16(t)^2 + 48(t) + 64

-16(1.5)^2 + 48(1.5) + 64 = -36 + 72 + 64 = 100

E. The domain that makes sense for the function in this context is t

is any positive real number since time can not be negative.

6 0
2 years ago
Prove that ΔADB∼ΔADE by writing a proportion which solves for the Pythagorean Theorem.
Cloud [144]

Answer:

B) AD/DE = BD/AD

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Solve the following system of equations.express your answer as an ordered pair in the format (a,b) with no spaces between the nu
frosja888 [35]

Answer: (3,2)

Step-by-step explanation:

For this set of system of equations, let's use elimination method to find x and y. Let's eliminate y first. In order to do so, the y values have to be the same. Therefore, you multiply the top equation by 3 and the bottom equation by 4.

9x+12y=51

-16x-12y=-72

Now, we can add the 2 equations together for the y to cancel out.

-7x=-21

x=3

Since we know x, we can plug it into any of the equations to find y.

3(3)+4y=17

9+4y=17

4y=8

y=2

With out x and y value, we can put them into an ordered pair. (3,2)

4 0
2 years ago
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