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2 years ago

Help me with this math equation.

Mathematics

1 answer:

alexdok [17]2 years ago

6 0

Volume of cube = side^3
= 15^3
= 3375
Volume of pyramid= length x width x height/3
= 15 x 15 x 9
= 675
Total volume = 3375 + 675
= 4050 cubic feet

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A binomial has been partially factored, as shown below:

sesenic [268]

Answer: x-6

Explanation: x^2 is a DOTS, or difference of two squares. 36 is a perfect square and x^2 is a perfect square, and you are finding the difference. Therefore, you can do (x+6)(x-6). This works with any number. If there was x^2-16, it could be factored to (x+4)(x-4)

3 0

2 years ago

Read 2 more answers

PLS ANSWER ASAP 30 POINTS!!! CHECK PHOTO! WILL MARK BRAINLIEST TO WHO ANSWERS

Sveta_85 [38]

I'll do Problem 8 to get you started

a = 4 and c = 7 are the two given sides

Use these values in the pythagorean theorem to find side b

$a^2 + b^2 = c^2\\\\4^2 + b^2 = 7^2\\\\16 + b^2 = 49\\\\b^2 = 49 - 16\\\\b^2 = 33\\\\b = \sqrt{33}\\\\$

With respect to reference angle A, we have:

opposite side = a = 4
adjacent side = b = $\sqrt{33}$
hypotenuse = c = 7

Now let's compute the 6 trig ratios for the angle A.

We'll start with the sine ratio which is opposite over hypotenuse.

$\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(A) = \frac{a}{c}\\\\\sin(A) = \frac{4}{7}\\\\$

Then cosine which is adjacent over hypotenuse

$\cos(\text{angle}) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos(A) = \frac{b}{c}\\\\\cos(A) = \frac{\sqrt{33}}{7}\\\\$

Tangent is the ratio of opposite over adjacent

$\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(A) = \frac{a}{b}\\\\\tan(A) = \frac{4}{\sqrt{33}}\\\\\tan(A) = \frac{4\sqrt{33}}{\sqrt{33}*\sqrt{33}}\\\\\tan(A) = \frac{4\sqrt{33}}{(\sqrt{33})^2}\\\\\tan(A) = \frac{4\sqrt{33}}{33}\\\\$

Rationalizing the denominator may be optional, so I would ask your teacher for clarification.

So far we've taken care of 3 trig functions. The remaining 3 are reciprocals of the ones mentioned so far.

cosecant, abbreviated as csc, is the reciprocal of sine
secant, abbreviated as sec, is the reciprocal of cosine
cotangent, abbreviated as cot, is the reciprocal of tangent

So we'll flip the fraction of each like so:

$\csc(\text{angle}) = \frac{\text{hypotenuse}}{\text{opposite}} \ \text{ ... reciprocal of sine}\\\\\csc(A) = \frac{c}{a}\\\\\csc(A) = \frac{7}{4}\\\\\sec(\text{angle}) = \frac{\text{hypotenuse}}{\text{adjacent}} \ \text{ ... reciprocal of cosine}\\\\\sec(A) = \frac{c}{b}\\\\\sec(A) = \frac{7}{\sqrt{33}} = \frac{7\sqrt{33}}{33}\\\\\cot(\text{angle}) = \frac{\text{adjacent}}{\text{opposite}} \ \text{ ... reciprocal of tangent}\\\\\cot(A) = \frac{b}{a}\\\\\cot(A) = \frac{\sqrt{33}}{4}\\\\$

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

Summary:

The missing side is $b = \sqrt{33}$

The 6 trig functions have these results

$\sin(A) = \frac{4}{7}\\\\\cos(A) = \frac{\sqrt{33}}{7}\\\\\tan(A) = \frac{4}{\sqrt{33}} = \frac{4\sqrt{33}}{33}\\\\\csc(A) = \frac{7}{4}\\\\\sec(A) = \frac{7}{\sqrt{33}} = \frac{7\sqrt{33}}{33}\\\\\cot(A) = \frac{\sqrt{33}}{4}\\\\$

Rationalizing the denominator may be optional, but I would ask your teacher to be sure.

7 0

10 months ago

Can someone help me with this please ?

d1i1m1o1n [39]

If the triangle is a right triangle, then

   (3x)² + x² = (10)² .

   9x² + x² = 100

   10x² = 100

   x² = 10

   x = √10 = approx. 3.1622...

If ' x ' is <em>anything less than √10</em> , then the short sides are too short
to make a right angle at the top, and the angle where they meet
is obtuse.

' x ' has to be greater than 2.5 ... otherwise the two short sides
can't stretch far enough to reach both ends of the long side (10) .

So, if 2.5 < x < √10 , then there is a triangle, and it's obtuse.

6 0

2 years ago

Sally is 3 years younger than Ralph. What equation represents this relationship?

Fiesta28 [93]

The correct answer is D.
Sally is 3 years younger than Ralph therefore S=R-3 which means Sally is Ralph’s age minus 3.

3 0

2 years ago

Hayden has 6 rolls of dimes. There are 50 dimes in each roll. How many dimes does he have altogether?

Aleks04 [339]

6 times 50 is 300, there’s your answer. He was 300 dimes altogether.

6 0

2 years ago