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2 years ago

5

Which value is a solution to the inequality? 3x < 21

1 answer:

Semmy [17]2 years ago

4 0

Answer:

3x<21

Since we are going to find the value of x,we will take the 3 to the other side where it becomes division:

x<21/3

x<7

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Did I do this right? Pls help thx

OlgaM077 [116]

I am sure your right!!!

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3 years ago

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Use cavalieri's principle to a circular pillar candle is 2.8 inches wide & 6 inches tall. find the volume of the candle.

wolverine [178]

The candle has the shape of a cylinder with height H=6 in, and radius of the circular base R= (2.8)/2 =1.4 (in).

The volume of the cylinder is Area(base)*height =

$\pi R^{2} *H=3.14* (1.4)^{2}*6= 37$ (in cubed)

According to Cavalieri's principle, the volume of the candle is equal to the volume of the cylinder we described.

Answer: 37 in cubed

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3 years ago

What is (4a²)³÷8a²? can you please answer in normal number form (not like 3²)

AleksandrR [38]

Answer:

$8a^4$

Step-by-step explanation:

Hello! $(4a^2)^3=4\cdot4\cdot4\cdot a^2\cdot a^2\cdot a^2=64a^6$ because if you multiply numbers with exponents you add the exponents.

Now we've got $\frac{64a^6}{8a^2}=8a^4$ .

Sadly it has to be in exponential form. You can substitute $a$ into the equation if you know a.

3 0

3 years ago

I’m giving 20 points and will give brainliest.

aleksley [76]

Answer:

Express 5 72 in simplest radical form:

Factorize the 72 in your expression:

5√72 = 5√(2*2*2*3*3)

take a pair of two's and a pair of three's out of the radical sign:

5√72 = 5*2*3√2 = 30√2

this is the simplest radical form

Step-by-step explanation:

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3 years ago

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Find the solutions for a triangle with a = 16, c =12, and B = 63º.

maks197457 [2]

Answer:

b. A = 71.6°; C = 45.40°; b =15.0

Step-by-step explanation:

The missing values can be found with the help of the Law of Cosine and properties of triangles:

Side b (Law of Cosine)

$b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}$

$b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}$

$b \approx 15.022$

Angle A (Law of Cosine)

$\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}$

$\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}$

$\cos A = 0.315$

$A= \cos^{-1} 0.315$

$A \approx 71.639^{\circ}$

Angle C (Sum of internal angles in triangles)

$C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}$

$C = 45.361^{\circ}$

Hence, the right answer is B.

6 0

3 years ago