All categories

3 years ago

Pls help ASAP for brainliest answer

Mathematics

1 answer:

GaryK [48]3 years ago

5 0

Answer:

324cm^3

Step-by-step explanation:

The formula for calculating volume of a triangular prism is 1/2× bhl (b : base, h : height, l : length)

1/2 × 6 × 9 × 12 = 324cm^3

You might be interested in

Mark, Jessica, and Nate each downloaded music from the same website. Mark downloaded 10 songs in total consisting of pop, rock,

PtichkaEL [24]

Answer:

Mark:

x + y + z = 10

Jessica:

5x + 2y + 3z = 28

Nate:

3x + 3y + z = 20

Step-by-step explanation:

Let

x = number of pop song downloaded by Mike

y = number of rock song downloaded by Mike

z = number of hip song downloaded by Mike

Mark downloaded 10 songs in total consisting of pop, rock, and hip hop

Mark:

x + y + z = 10

Jessica downloaded five times as many pop songs, twice as many rock schgs, and three times as many hip hop songs as Mark. She downloaded 28 songs total.

Jessica:

5x + 2y + 3z = 28

Nate downloaded 20 songs total with three times as many pop songs, three times as many rock songs, and the same number of hip hop songs as Mark.

Nate:

3x + 3y + z = 20

The following system of equations represents their music choices

Mark:

x + y + z = 10

Jessica:

5x + 2y + 3z = 28

Nate:

3x + 3y + z = 20

6 0

3 years ago

Kiwis are on sale for $1.80 per pint. The regular price is $2.50 per pint.

stepladder [879]

Answer:

28%

Step-by-step explanation:

i took the review and i got that one right pls make brainiest

3 0

3 years ago

PLZ HELP!!! WILL GIVE BRANLIEST !!!

elixir [45]

I believe 8. Let me know if this works!

If you found this especially helpful, I'd appreciate if you'd vote me Brainliest for your answer. I want to be able to assist more users one-on-one!

8 0

4 years ago

Read 2 more answers

Select the correct answer. For which quotient is x=7 an excluded value?

Lisa [10]

Answer:

$\frac{7x}{x^2 - 10x + 21} / \frac{x + 7}{7}$

Step-by-step explanation:

Given

See attachment

To answer this question, we start by equating the denominators of each option to 0; then, solve for x

(a):

$\frac{7x}{x^2 - 10x + 21} / \frac{x + 7}{7}$

This gives

$\frac{7x}{x^2 - 10x + 21} * \frac{7}{x + 7}$

Set the denominator to 0

$(x^2 - 10x + 21)(x + 7) = 0$

Solve for x

$(x^2 - 7x - 3x + 21)(x + 7) = 0$

Factorize:

$(x(x - 7) - 3(x - 7))(x + 7) = 0$

$(x - 7)(x - 3)(x + 7) = 0$

This implies that:

$x = 7\ or\ x = 3\ or\ x = -7$

From above, one of the values of x is 7.

This implies that x = 7 is an excluded value for this quotient.

<em>Other options do not need to be checked, since there is only one answer.</em>

6 0

3 years ago

Given that sec (x) = 2 and cosec (x) is negative,

weeeeeb [17]

Answer:

i) sin(2x) = $-\frac{\sqrt{3}}{2}$

ii) cot(x+360) = $-\frac{\sqrt{3}}{3}$

iii) sin(x-180) = $\frac{\sqrt{3}}{2}$

Step-by-step explanation:

sec(x) = 2

Since cos(x) is reciprocal of sec(x), this means:

cos(x) = $\frac{1}{2}$

cosec(x) is negative , this means sin(x) is also negative. The only quadrant where cos(x), sec(x) are positive and sin(x), cosec(x) are negative is the 4th quadrant. Hence the terminal arm of the angle x is in 4th quadrant.

Part i)

sin(2x) can be simplified as:

sin(2x) = 2 sin(x) cos(x)

First we need to find the value of sin(x). According to Pythagorean identity:

$sin^{2}(x)=1-cos^{2}(x)\\\\ sin(x)=\pm \sqrt{1-cos^{2}(x)}$

Since, angle is in 4th quadrant, sin(x) will be negative. So considering the negative value of sin(x) and substituting the value of cos(x), we get:

$sin(x)=- \sqrt{1-cos^{2}(x)}\\\\ sin(x)=-\sqrt{1-(\frac{1}{2})^{2}}\\\\ sin(x)=-\frac{\sqrt{3}}{2}$

So,

$sin(2x)=2 \times -\frac{\sqrt{3} }{2} \times \frac{1}{2}\\\\ sin(2x)=-\frac{\sqrt{3}}{2}$

Part ii)

We have to find cot(x + 360)

An addition of 360 degrees to the angle brings it back to the same terminal point. So the trigonometric ratios of the original angle and new angle after adding 360 or any multiple of 360 stay the same. i.e.

cot(x + 360) = cot(x)

$cot(x) = \frac{cos(x)}{sin(x)}\\$

Using the values, we get:

$cot(x)=\frac{\frac{1}{2}}{-\frac{\sqrt{3}}{2} }\\\\ cot(x)=-\frac{\sqrt{3}}{3}$

Part iii)

We need to find the value of sin(x - 180)

sin(x - 180) = - sin(x)

Addition or subtraction of 180 degrees changes the angle by 2 quadrants. The sign of sin(x) becomes opposite if the angle jumps by 2 quadrants. For example, sin(x) is positive in 1st quadrant and negative in 3rd quadrant.

So,

sin(x - 180) = $-(-\frac{\sqrt{3}}{2}) = \frac{\sqrt{3}}{2}$

6 0

3 years ago