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3 years ago

What is the value of angle K to the nearest What is the value of angle K to the nearest tenth?

Mathematics

1 answer:

Nina [5.8K]3 years ago

6 0

Answer:

$Cos K = \frac{adjacent}{opposite} = \frac{5}{6}\\\\K = Cos^{-1}(\frac{5}{6} ) = 33.557\\K= 33.6$

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What is the length of the midsegment of the trapezoid

makkiz [27]

Answer:

The length of the mid-segment of the trapezoid = 7

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Step-by-step explanation:

The mid-segment of a trapezoid is the segment that connecting the midpoints of the two non-parallel sides.

As shown in the figure the two non-parallel sides are AB and CD

∴ The mid-segment of the trapezoid = $\frac{BC +AD}{2}$

From the figure: BC = 8 and AD = 6

∴ The mid-segment of the trapezoid = $\frac{8+6}{2} = 7$

7 0

3 years ago

[2/SEC(¶/3)•[lim x→0 x^3+8x+10]^2]/[lim θ→0 sinθ/θ]

Oliga [24]

Assuming the pilcrow is supposed to represent pi:

$\frac{\frac{2}{sec(\frac{\pi}{3})}*(\lim_{x \to 0} x^3+8x+10)^2}{ \lim_{\theta \to 0} \frac{sine(\theta)}{\theta}}\\\frac{\frac{2}{\frac{1}{cosine(\frac{\pi}{3})}}*((0)^3+8(0)+10)^2}{\frac{sine((0))}{(0)}}\\\frac{\frac{2}{\frac{1}{\frac{1}{2}}}*(0+0+10)^2}{\frac{0}{0}}\\\frac{\frac{2}{2}*(10)^2}{ \lim_{\theta \to 0} \frac{cosine(\theta)}{1}}\\\frac{100}{cosine((0))}\\\frac{100}{1}\\100$

100

4 0

3 years ago

Determine the value of the ?

goblinko [34]

Answer:

$x^{2} y^{3}$

Step-by-step explanation:

Using the Quotient rule:

$\frac{a^{m}}{a^{n}} = a^{m - n}$

We can subtract the exponents of x and y:

$\frac{x^{6} y^{10}}{x^{4} y^{7}} = x^{(6 - 4)} y^{(10 - 7)}$

Therefore, $\frac{x^{6} y^{10}}{x^{4} y^{7}} = x^{2} y^{3}$

Please mark my answers as the Brainliest if you find this explanation helpful :)

5 0

2 years ago

3. Consider the functions f(x) = x2 + 10x – 5, g(x) = 8x + 1, and h(x) = 3x – 4. List the functions from least to greatest value

weeeeeb [17]

<u>x = 3</u>
f(x) = x²+ 10x - 5
f(3) = (3)² + 10(3) - 5
f(3) = 9 + 30 - 5
f(3) = 39 - 5
f(3) = 34

g(x) = 8x + 1
g(3) = 8(3) + 1
g(3) = 25

h(x) = 3x - 4
h(3) = 3(3) - 4
h(3) = 9 - 4
h(3) = 5

<u>x = 6
</u>f(x) = x² + 10x - 5
f(6) = (6)² + 10(6) - 5
f(6) = 36 + 60 - 5
f(6) = 96 - 5
f(6) = 91

g(x) = 8x + 1
g(6) = 8(6) + 1
g(6) = 48 + 1
g(6) = 49

h(x) = 3x - 4
h(6) = 3(6) - 4
h(6) = 18 - 4
h(6) = 14

I would explain to someone that you don't need to do any calculations to know the order of the functions when x is equal to 15 by knowing that f(x) is equal to 370, g(x) is equal to 121, and h(x) is equal to 41 to know that it is easy finding the function of x without calculating the answer.

4 0

3 years ago

Verify that (a+b)+c = a+ (b+c) by taking a = -8 , b = (-8/11) , c = (-8/12)

gogolik [260]

Answer:

Step-by-step explanation:

$(-8+-\frac{8}{11} ) + (-\frac{8}{12}) = -\frac{96}{11} + (-\frac{2}{3}) = -\frac{288 + 22}{33}) = -\frac{310}{33}\\ (-8) + (-\frac{8}{11} + (-\frac{2}{3})) = (-8) + (-\frac{46}{33})= -\frac{310}{33}$

6 0

3 years ago

Read 2 more answers