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3 years ago

Manuel builds and sells wooden crates. He made a table to show how much his crates cost.

Mathematics

2 answers:

Westkost [7]3 years ago

6 0

The correct answer is 75 :)

Naddika [18.5K]3 years ago

5 0

The answer is $87.50.

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If sin theta =3/7 and tan theta <0 what is the value of cos theta

Savatey [412]

Remember that

$\tan\theta=\dfrac{\sin\theta}{\cos\theta}$

So if $\sin\theta>0$ and $\tan\theta$ , then we know $\cos\theta$ .

Then use the Pythagorean identity to solve for cosine:

$\cos^2\theta+\sin^2\theta=1\implies\cos\theta=-\sqrt{1-\sin^2\theta}=-\dfrac{2\sqrt{10}}7$

7 0

3 years ago

A funnel has a diameter of 9 in. and is 16 in. tall a plug is put at the open end of the funnel what it the volume of the cone

SCORPION-xisa [38]

The volume of the cone by definition is given by:
V = (pi * r ^ 2 * h) / 3
Where,
h: height
r: radio
Substituting the values we have:
V = (pi * (9/2) ^ 2 * (16)) / 3
V = 339.2920066 in ^ 3
Rounding:
V = 339.3 in ^ 3
Answer:
the volume of the cone is:
V = 339.3 in ^ 3

5 0

3 years ago

Help! How would I solve this trig identity?

NeTakaya

Using simpler trigonometric identities, the given identity was proven below.

<h3>How to solve the trigonometric identity?</h3>

Remember that:

$sec(x) = \frac{1}{cos(x)} \\\\tan(x) = \frac{sin(x)}{cos(x)}$

Then the identity can be rewritten as:

$sec^4(x) - sen^2(x) = tan^4(x) + tan^2(x)\\\\\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)} = \frac{sin^4(x)}{cos^4(x)} + \frac{sin^2(x)}{cos^2(x)} \\\\$

Now we can multiply both sides by cos⁴(x) to get:

$\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)} = \frac{sin^4(x)}{cos^4(x)} + \frac{sin^2(x)}{cos^2(x)} \\\\\\\\cos^4(x)*(\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}) = cos^4(x)*( \frac{sin^4(x)}{cos^4(x)} + \frac{sin^2(x)}{cos^2(x)})\\\\1 - cos^2(x) = sin^4(x) + cos^2(x)*sin^2(x)\\\\1 - cos^2(x) = sin^2(x)*sin^2(x) + cos^2(x)*sin^2(x)$

Now we can use the identity:

sin²(x) + cos²(x) = 1

$1 - cos^2(x) = sin^2(x)*(sin^2(x) + cos^2(x)) = sin^2(x)\\\\1 = sin^2(x) + cos^2(x) = 1$

Thus, the identity was proven.

If you want to learn more about trigonometric identities:

brainly.com/question/7331447

#SPJ1

7 0

2 years ago

A triangle ABC is inscribed in the circle, (ABC = 65° and AB=AC. Find (BDC.

podryga [215]

Answer:

∠BDC=50°

Step-by-step explanation:

∠BDC=∠A[angles at the same segment)

∠A= 180-(65+65)=180-130= 50°

so, ∠BDC=50°

<em>MARK ME BRAINLIEST</em>

3 0

3 years ago

Point D(-3.5) is a vertex of triangle DEF.After a rotation of the triangle about the origin, D' is located at (3,-5).Which of th

Nimfa-mama [501]

<h3>Answer: 180 degrees</h3>

note: it doesn't matter if its clockwise or counterclockwise when it comes to 180 degree rotations.

========================================

Explanation:

The rule for 180 degree rotations is

(x,y) ---> (-x, -y)

So the x and y coordinates flip in sign from positive to negative, or vice versa.

Point D ' (-3, 5) rotates to D ' (3, -5) following this rule

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

A further detailed break down might look like this

x = -3 becomes -x = -(-3) = 3

y = 5 becomes -y = -5

(-3, 5) ----> (3, -5)

6 0

3 years ago