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3 years ago

Can someone please help me with these

Mathematics

1 answer:

OLga [1]3 years ago

7 0

Answer:

1. 1072.6

2. 753.6

3. 194.2

4. 59.5

5. 4848.3

6. 1818.3

Step-by-step explanation:

We have to use the trigonometric functions sin, cos, and tan. Remember the mnemonic SOH-CAH-TOA when solving these problems. (sinθ=opposite/hypotenuse, cosθ=adjacent/hypotenuse, tanθ=opposite/adjacent)

1. tan(40)=900/x

x=900/tan(40)

x=1072.6

2. tan(37)=x/1000

1000tan(37)=x

753.6=x

3. sin(18)=60/x

x=60/sin(18)

x=194.2

4. sin(48)=x/80

80sin(48)=x

59.5=x

5. tan(22)=x/12000

12000tan(22)=x

4848.3=x

6. tan(33)=x/2800

2800tan(33)=x

1818.3=x

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Solve each inequality and graph its solution 0>3x-3-6

trasher [3.6K]

Answer:

3 > x

Step-by-step explanation:

0>3x-3-6

Combine like terms

0>3x-9

Add 9 to each side

0+9>3x-9+9

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Divide each side by 3

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4 0

3 years ago

Find the domain of the function f(x)=<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E3-16x%7D" id="TexFormula1" title="\sqrt{x^3

Anon25 [30]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

$f\left(x\right)=\sqrt{x^3-16x}$

We know that the domain of the function is the set of input or arguments for which the function is real and defined.

In other words,

Domain refers to all the possible sets of input values on the x-axis.

Now, determine non-negative values for radicals so that we can sort out the domain values for which the function can be defined.

$x^3-16x\ge 0$

as x³ - 16x ≥ 0

$\left(x+4\right)\left(x-4\right)\ge \:0$

Thus, identifying the intervals:

$-4\le \:x\le \:0\quad \mathrm{or}\quad \:x\ge \:4$

Thus,

The domain of the function f(x) is:

$x\left(x+4\right)\left(x-4\right)\ge \:0\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-4\le \:x\le \:0\quad \mathrm{or}\quad \:x\ge \:4\:\\ \:\mathrm{Interval\:Notation:}&\:\left[-4,\:0\right]\cup \:[4,\:\infty \:)\end{bmatrix}$

And the Least Value of the domain is -4.

3 0

3 years ago

The slope intercept form of the equation of a line that passes through (-2,13) is y =5x-3what is the point slope form of the equ

Zigmanuir [339]

Answer:

y - 13 = 5(x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Given y = 5x - 3 in slope- intercept form

with slope m = 5, then

m = 5 and (a, b) = (- 2, 13)

y - 13 = 5(x - (- 2)), that is

y - 13 = 5(x + 2) ← in point- slope form

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3 years ago

URGENT PLEASE HELP ME

krek1111 [17]

a) & b) is yes, c) is no. hope you have a good day

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3 years ago

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A bucket is leaking. After 3 hours the bucket has leaked 3/4 of an ounce. How many ounces per hour is the bucket leaking?

Bogdan [553]

The bucket leaks 1/4 ounce per hour. Because the numerator is 3 and it took 3 hours, you can give 1/4 to every hour (3/4 divided by 3).

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