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3 years ago

HELP i need the answers to these! explain if possible:)

Mathematics

1 answer:

IrinaVladis [17]3 years ago

5 0

so one: the middle Angles are all 90 degrees triangles equal 180, the angle opposite of "x" is equal to 34 so 180-90-34=x

two: both angles are equal set it up like an equation and solve for n

three: the corner angle of the right triangle is equal to 61 as well again do 180-(61×2)=x

4: do this equation (<ktu)2+ x = 180 then solve for x

5: not exactly.sure what its asking

hope this helps

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For the data in the table, write an equation for the direct variation.

melisa1 [442]

The equation of direct variation is,

$\begin{gathered} y=kx \\ k=\frac{y}{x} \end{gathered}$

Substitute the values of y and x.

$\begin{gathered} k=\frac{5.4}{4} \\ k=1.35 \end{gathered}$

So, the obtained equation will be y=1.35(x).

Let's check with the values of x.

1) If x=4

$\begin{gathered} y=1.35x \\ y=1.35(4) \\ y=5.4 \end{gathered}$

2) If x=2

$\begin{gathered} y=1.35x \\ y=1.35(2) \\ y=2.7 \end{gathered}$

3) If x=-2

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10 months ago

A new park is built with a 3/4 mile trail around a lake. The city wants to include a bench every 1/8 of a mile. How many benches

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Answer:

6 benches are needed

Step-by-step explanation:

3/4= 6/8

1/8 goes into 6/8, 6 times so,

6 benches are needed on the 3/4 mile trail

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3 years ago

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A central angle in a circle measures 120°. What is the measure of its intercepted arc?

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2 years ago

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Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your

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Answer:

Given definite integral as a limit of Riemann sums is:

$\lim_{n \to \infty} \sum^{n} _{i=1}3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]$

Step-by-step explanation:

Given definite integral is:

$\int\limits^7_4 {\frac{x}{2}+x^{3}} \, dx \\f(x)=\frac{x}{2}+x^{3}---(1)\\\Delta x=\frac{b-a}{n}\\\\\Delta x=\frac{7-4}{n}=\frac{3}{n}\\\\x_{i}=a+\Delta xi\\a= Lower Limit=4\\\implies x_{i}=4+\frac{3}{n}i---(2)\\\\then\\f(x_{i})=\frac{x_{i}}{2}+x_{i}^{3}$

Substituting (2) in above

$f(x_{i})=\frac{1}{2}(4+\frac{3}{n}i)+(4+\frac{3}{n}i)^{3}\\\\f(x_{i})=(2+\frac{3}{2n}i)+(64+\frac{27}{n^{3}}i^{3}+3(16)\frac{3}{n}i+3(4)\frac{9}{n^{2}}i^{2})\\\\f(x_{i})=\frac{27}{n^{3}}i^{3}+\frac{108}{n^{2}}i^{2}+\frac{3}{2n}i+\frac{144}{n}i+66\\\\f(x_{i})=\frac{27}{n^{3}}i^{3}+\frac{108}{n^{2}}i^{2}+\frac{291}{2n}i+66\\\\f(x_{i})=3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]$

Riemann sum is:

$= \lim_{n \to \infty} \sum^{n} _{i=1}3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]$

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