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Goshia [24]
3 years ago
7

3) Using J =

Mathematics
1 answer:
MrRa [10]3 years ago
3 0

Answer:

Diameter = 49

radius = 49/2

circumference of circle is = <em>2</em><em>π</em><em> </em><em>r</em>

<em>=</em><em>. </em><em> </em><em>2</em><em>*</em><em>2</em><em>2</em><em>/</em><em>7</em><em>*</em><em>4</em><em>9</em><em>/</em><em>2</em>

<em>=</em><em> </em><em>1</em><em>5</em><em>4</em><em> </em><em>cm</em>

<em>hope</em><em> it</em><em> helps</em>

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Please Help. I really don’t get this concept, if you could explain it in detail it would be very appreciated
Dafna11 [192]
<h3>Answer: 24/25</h3>

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

Explanation:

Sine is given to be negative, and so is tangent. This only happens in quadrant Q4

Recall that y = sin(theta), so if sin(theta) < 0, then we're below the x axis.

If tan(theta) < 0, then this means cos(theta) > 0

So we have y < 0 and x > 0 which places the angle somewhere in Q4.

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

Draw a right triangle as shown below in the attached image. We have AC = 25 and BC = 7. Use the pythagorean theorem to find that AB = 24

So this is what your steps may look like

a^2+b^2 = c^2

7^2+b^2 = 25^2

b^2+49 = 625

b^2 = 625-49

b^2 = 576

b = sqrt(576)

b = 24

So because AB = 24, we know that the cosine of the angle is adjacent/hypotenuse = 24/25

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

As an alternative, you could use the trig identity

sin^2(x) + cos^2(x) = 1

and plug in the given value of sine to solve for cosine. The cosine value result will be positive since we're in Q4.

So,

sin^2(x) + cos^2(x) = 1

(-7/25)^2 + cos^2(x) = 1

(49/625) + cos^2(x) = 1

cos^2(x) = 1 - (49/625)

cos^2(x) = (625/625) - (49/625)

cos^2(x) = (625-49)/625

cos^2(x) = 576/625

cos(x) = sqrt(576/625)

cos(x) = sqrt(576)/sqrt(625)

cos(x) = 24/25

This is effectively a rephrasing of the previous section since the pythagorean trig identity is more or less the pythagorean theorem (just in a trig form)

6 0
3 years ago
Can constants in linear combinations be bigger than 1
Molodets [167]
It can be as big as 1-2.
4 0
3 years ago
I need help pleaseeee
bekas [8.4K]

Answer:

20cm

Step-by-step explanation:

pythagorean theorem

15^2 + b^2 = 25^2

225 + b^2 = 625

b^2 = 400

b = 20

6 0
3 years ago
Read 2 more answers
MaryBeth works from home as a graphic designer. Recently she raised her hourly rate by 6​% to cover increased costs. Her new hou
mojhsa [17]

Answer:

$21.59

Step-by-step explanation:

The original hourly rate was x.

She raised it 6%. The raise is 6% of x, or 0.06x.

The new rate is x + 0.06x or 1.06x.

The new rate is $22.89.

1.06x = 22.89

Divide both sides by 1.06.

x = 21.59

7 0
3 years ago
Someone please help me with #15
harina [27]

Answer:

b. A year and a half

Step-by-step explanation:

First, we can find the total cost

1512+263=1775

Next, we can divide by 50 in order to find out how many months it will take for the panel to pay for itself.

\frac{1775}{50} =35.5 months

This is very close to 36 months, which is <u>A year and a half</u>.

6 0
3 years ago
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