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aniked [119]
3 years ago
7

What are the amplitude. Phase shift and midline if f(x) = 2 sin(x+pi)-4

Mathematics
1 answer:
kherson [118]3 years ago
7 0
Find the missing angles using either the triangle sum theorem (a2+b2=c2) or inverse trigonometric ratios
You might be interested in
Lexon is standing 7.05 meters away from the statue off the Merlin mp at Merlin park Singapore the height of her eyes from her fe
d1i1m1o1n [39]

Answer:

7.9m

Step-by-step explanation:

We solve using the Trigonometric function of Tangent

tan θ = Opposite/Adjacent

Opposite = x

Adjacent = 7.05m

We solve for x

tan 42 = x /7.05m

Cross Multiply

tan 42 × 7.05 = x

x = 6.3478485123m

Approximately = 6.35m

Height of the statue = x + 1.55

Hence, = 6.35m + 1.55m

= 7.9m

The height of the statue = 7.9 meters

8 0
3 years ago
a family buys a new home for $212,500 and pays a 20% down payment ($42,500). if the mortgage is for 15 years at 5.75% interest w
diamong [38]

Answer:

Their monthly house payment is of $2,184.65.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

A family buys a new home for $212,500 and pays a 20% down payment ($42,500).

This means that the loan is of 212,500 - 42,500 = $170,000, that is, P = 170,000

Value of the loan in 15 years:

15 years means that t = 15

5.75% interest means that r = 0.0575

Compounded yearly, so n = 1

Then

A(t) = P(1 + \frac{r}{n})^{nt}

A(15) = 170000(1 + \frac{0.0575}{1})^{15}

A(15) = 393237

Monthly payment:

Total of $393,237 in 15*12 months. So

M = \frac{393237}{15*12} = 2184.65

Their monthly house payment is of $2,184.65.

5 0
3 years ago
Rewrite 49^1/2 = 7 in logarithmic form.
erastova [34]

Answer: 49^((1)/(2))=7

Step-by-step explanation:

3 0
2 years ago
The slope of a line that is perpendicular to a line whose slope is 3/8 is
Molodets [167]

Answer:

-8/3

Step-by-step explanation:

We know that lines that are perpendicular have slopes that multiply to -1

m1 * m2 = -1

We know one slope is 3/8 and are looking for the perpendicular slope m2

3/8 * m2 = -1

Multiply each side by 8/3 to find m2

3/8*8/3 *m2 = -1*8/3

m2 = -8/3

5 0
3 years ago
Read 2 more answers
Please help with this im really confused and please explain abit with words. please and thanks!
Hatshy [7]

Step-by-step explanation:

just add all the given angles and equate it with 540° and then find x

x/2 + x/2 + x - 25 + 100 + x - 15 = 540°

3x + 60 = 540°

3x = 540 - 60

x = 480/3

x = 160°

on checking, the given shape values of x-25 and x - 15 are both still obtuse angles thus the answer is correct.

5 0
3 years ago
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