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2 years ago

5) Find the measure of the unknown

Mathematics

2 answers:

zhannawk [14.2K]2 years ago

5 0

105 degree , I think but not sure

podryga [215]2 years ago

3 0

106
explanation: triangles add up to 180 degrees. in the triangle above, the angles only add up to 74. 180-74=106

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What set does 30 belong to

docker41 [41]

Answer:

30 belongs to the set of real numbers, the set of rational numbers, the set of whole numbers, the set of natural numbers and the set of integers.

Step-by-step explanation:

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2 years ago

Find an angle between 0 and 360 degrees that is coterminal with 232

chubhunter [2.5K]

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Step-by-step explanation:

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2 years ago

lara31 [8.8K]

Answer:

Step-by-step explanation:

Given the points J (1,-10) and K (7, 2)

From the section formula

$(x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)$

The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is obtained using the formula:

$y=\dfrac{my_2+ny_1}{m+n}\\m=5, n=1, y_1=-10, y_2=2\\Therefore:\\y=\dfrac{5*2+1*-10}{5+1}\\=\dfrac{10-10}{6}\\=0$

The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.

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3 years ago

Let g be the function given by g(x)=limh→0sin(x h)−sinxh. What is the instantaneous rate of change of g with respect to x at x=π

lorasvet [3.4K]

The instantaneous rate of change of g with respect to x at x = π/3 is 1/2.

<h3>How to determine the instantaneous rate of change of a given function</h3>

The instantaneous rate of change at a given value of $x$ can be found by concept of derivative, which is described below:

$g(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}$

Where $h$ is the difference rate.

In this question we must find an expression for the instantaneous rate of change of $g$ if $f(x) = \sin x$ and evaluate the resulting expression for $x = \frac{\pi}{3}$ . Then, we have the following procedure below:

$g(x) = \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}$

$g(x) = \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}$

$g(x) = \lim_{h \to 0} \frac{\sin h}{h}\cdot \lim_{h \to 0} \cos x$

$g(x) = \cos x$

Now we evaluate $g(x)$ for $x = \frac{\pi}{3}$ :

$g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}$

The instantaneous rate of change of g with respect to x at x = π/3 is 1/2. $\blacksquare$

To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/11606037

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1 year ago

5. The value of a piece of land is growing at a rate of 2.5% annually. If the land was worth $99,000 when it was purchased, whic

Klio2033 [76]

Answer:

99,000.00 × 2.5 . answer d

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3 years ago