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andre [41]
3 years ago
11

Precalc help! i will report any fake answers

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
8 0

Answer:

D) 41.81 degrees

Step-by-step explanation:

In this problem, we are given a leg length (a=12) and the hypotenuse (c=18).

We need to select which trigonometric identity to use with the acronym SOHCAHTOA:

SOH -> sine=opposite/hypotenuse

CAH -> cosine=adjacent/hypotenuse

TOA -> tangent=opposite/adjacent

Given side a is opposite of angle A and side c is the hypotenuse, we clearly need to use the sine function.

Set up an equation based on the information you have:

sin(A)=12/18

Now take the inverse:

sin^-1(sin(A))=sin^-1(12/18)

A=41.8103149

So the best option is answer D) 41.81 degrees

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zmey [24]
The pattern is plus 10 for each time

Formula recursive
A_n = A_n -1 + 10

So the next term is 5th

A_5 = A_5 -1 + 10

A_5-1 = A_4 +10

5th = 6+10 = 16


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4 0
3 years ago
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vovangra [49]

Answer:

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Step-by-step explanation:

4 0
3 years ago
. Shanice is making a garden. The area of the garden is 24 ft2. Use the following shape and information to find the base (6−4) a
crimeas [40]

Answer:

The base and height  of the garden are 4.60 ft and 5.60 ft.

Step-by-step explanation:

The area of the garden is, <em>A</em> = 24 ft².

The base height of the garden are:

base (<em>b</em>) = 6x - 4

height (<em>h</em>) = x + 3

Compute the value of <em>x</em> as follows:

A=\frac{1}{2}\times b \times h\\\\24=\frac{1}{2}\times (6x-4) \times (x+3)\\\\48=6x^{2}+18x-4x-12\\\\6x^{2}+14x-60=0\\\\3x^{2}+7x-30=0\\

The last equation is a quadratic equation.

Compute the roots of the quadratic equation as follows:

x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\\x = \frac{ -14 \pm \sqrt{14^2 - 4(3)(-30)}}{ 2(3) }\\x = \frac{ -14 \pm \sqrt{556}}{ 6 }\\x = \frac{ -14 }{ 6 } \pm \frac{2\sqrt{139}\, }{ 6 }\\x = -\frac{ 7}{  3 } \pm \frac{ \sqrt{139}\, }{  3 }\\x = 1.59661\\x\approx 1.60

The value of base and height are:

\text{base}=6x-4=(6\times 1.60)-4=5.60\ \text{ft}\\\\\text{height}=x+3=1.60+3=4.60\ \text{ft}

Thus, the base and height  of the garden are 4.60 ft and 5.60 ft.

3 0
4 years ago
A student jog the same number of laps each week.9 students jogged 63 laps.How many laps will 13 students jog
Mazyrski [523]
9/63 = 1/7 = 13/x
13 students jog 91 laps.
3 0
3 years ago
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Natali [406]

9514 1404 393

Answer:

   yes

Step-by-step explanation:

The triangles are given as right triangles. Hypotenuses QT and RS are given as congruent.

We also have XS ≅ TP. By the addition property of equality, this means ...

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By the segment sum theorem, this means ...

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XT and SP are the corresponding legs of the right triangles. So, we have corresponding hypotenuses and corresponding legs congruent. This lets us conclude ΔXQT ≅ ΔPRS by the HL theorem.

5 0
3 years ago
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