In ΔMNO, m = 89 inches, n = 30 inches and o=71 inches. Find the measure of ∠M to the nearest degree.

Answers

Answer 1

Answer:118

Step-by-step explanation:

Trust me

Answer 2

In triangle MNO, m = 89 inches, n = 30 inches and o=71 inches then the measure of ∠M is 118.7 degrees

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

To find the measure of angle ∠M, we need to use the law of cosines, which states that:

c² = a² + b² - 2ab cos(C)

To find ∠M, which is opposite to side m, so we can use the law of cosines as follows:

m²= n² + o² - 2no cos(∠M)

Substituting the given values, we get:

89² = 30² + 71² - 2(30)(71) cos(∠M)

Simplifying and solving for cos(∠M), we get:

cos(∠M) = (30²+ 71² - 89²) / (2(30)(71))

cos(∠M) = -0.4402

To find the measure of ∠M, we need to take the arccosine of cos(∠M) using a calculator:

∠M = 118.7 degrees

Hence, in ΔMNO, m = 89 inches, n = 30 inches and o=71 inches then the measure of ∠M is 118.7 degrees

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Answer:

12cm

Step-by-step explanation:

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(x-y) (x²-2xy + y²)​

Answers

Answer:

x³ - 2x²y + 3xy² - y³

Step-by-step explanation:

When multiplying with two brackets, you need to multiply the two terms, (x) and (-y) from the first bracket to all the terms in the second brackets, (x²), (-2xy) and (y²) individually. I have put each multiplied term in a bracket so it is easier.

(x-y)(x²-2xy+y²) =

(x × ) + {x × (-2xy)} + (x × ) + {(-y) × ) + {(-y) × (-2xy)} + {(-y) × )

Now we can evaluate the terms in the brackets.

(x × x²) + {x × (-2xy)} + (x × y²) + {(-y) × x²) + {(-y) × (-2xy)} + {(-y) × y²) =

(x³) + (-2x²y) + (xy²) + (2xy²) + (-y³)

We can open the brackets now. One plus and one minus makes a minus.

(x³) + (-2x²y) + (xy²) + (2xy²) + (-y³) = x³ - 2x²y + xy² + 2xy² - y³

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Answers

Answer:

y=-3/2x+11

Step-by-step explanation:

M a t h w a y

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Answers

Answer:

there is no like terms

Step-by-step explanation:

Answer:

(x+2)(x+3)

Explanation:

(x+2)(x+3)

If you simplify this, you get:

x*x = x^2

x*3 = 3x

2*x = 2x

2*3 = 6

If we add these all together we will have:

x^2 + 3x + 3x + 6

Combine like terms

x^2 + 5x + 6

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Answers

Answer:

E(-9)≈3.4936

Step-by-step explanation:

Calculate the arc length of the following curve from x = 0 to x = π/2:

y(x) = -1 + 3 cos(x)

Hint: | The definition of arc length in Cartesian coordinates is s = integral_(x_0)^(x_1) sqrt(1 + y'(x)^2) dx.

Apply the definition of arc length to y(x) = -1 + 3 cos(x) for 0<x<π/2:

s = integral_0^(π/2) sqrt(1 + (d/dx(-1 + 3 cos(x)))^2) dx

Hint: | What is d/dx(-1 + 3 cos(x))?

Compute the derivative d/dx(-1 + 3 cos(x)):

= integral_0^(π/2) sqrt(1 + (-3 sin(x))^2) dx

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Simplify sqrt(1 + (-3 sin(x))^2):

= integral_0^(π/2) sqrt(1 + 9 sin^2(x)) dx

Hint: | Can this integral be computed?

Compute the definite integral:

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Answer:

x1=[tex]\frac{-1-13}{3}[/tex], x2=[tex]\frac{-1+13}{3}[/tex]

Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

They should pay $12 each

Answer:

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Sam calls a friend to get help with his math homework. Which instructions would best help Sam solve the inequality shown below? 15 3/4 < -2 + x
F. Add 15 3/4 to both sides of the inequality.
G. Subtract 2 from both sides of the inequality.
H. Add 2 to both sides of the inequality.
J. Subtract 15 3/4 from both sides of the inequality.

Answers

Answer:
H. Add 2 to both sides of the inequality.

Explanation:
To get x by itself, I would add 2 on both sides.

15 3/4 < -2 + x
+2 on both sides
17 3/4 < x

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Answers

Answer:

Maybe this will help btw not math

Step-by-step explanation:

Mr. M has a recipe for sourdough bread. He uses 8/3 cups of flour to make 2 loaves of sourdough bread. If you were to follow the same recipe, which equation would work for making y loaves of bread with x cups of flour?

Answers

Answer:

2y=8/3x

Step-by-step explanation:

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Answers

Answer:

The truck now weighs 2130 kilograms. Hope this helps.

Step-by-step explanation:

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With negative numbers the larger the number the lower the value. For example -2 is less than -1

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Answer:

It is $3.46

Step-by-step explanation:

Hope this helped have an amazing day!

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Answers

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Answers

Answer:

Part A)

[tex]C(t)=25+8t[/tex]

Part B)

[tex]C(35)=\$305[/tex]

Step-by-step explanation:

We will let t represent the total number of t-shirts printed.

We are charged an initial fee of $25. So, for our linear model, our constant is 25. And each t-shirt printed costs an additional $8. So, for t t-shirts, it will cost an additional 8t dollars.

Part A)

So, from the above information, we can write the following function:

[tex]C(t)=25+8t[/tex]

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The 25 represents our initial fee and the 8t represents the cost for t t-shirts.

Part B)

So, if we have a team of 35 members, we will need 35 t-shirts.

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[tex]\begin{aligned}C(35)&=25+8(35)\\&=25+280\\&=\$305\end{aligned}[/tex]

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Isosceles Right

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Isosceles Right

Step-by-step explanation:

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Step-by-step explanation:

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53

Step-by-step explanation:

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Answers

Answer:

y = 5 + 4(w)

Step-by-step explanation:

Given that:

Consider y to be the total number of quizzes and x to be the number of weeks;

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Answers

Answer:

9. 30/6

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Step-by-step explanation:

A student worked out at a gym continuously for 50 minutes. The graph shows the remaining percentage of the workout as a linear function of x , the time in minutes.



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Answers

Small problem....

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Which of these tables represents a non-linear function?
х
17
18
19
y
20
19
18
17
20
х
17
18
19
20
y
-16
-17
-18
-19
Х
17
18
19
20
у
16
17
19
20
у

Answers

Answer:

Its C.

Step-by-step explanation:

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Answers

Answer:

it may be different answers i.e 0.09 and 11^-1

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Answers

Answer:

X=8

Step-by-step explanation:

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Answer:

x=8

Step-by-step explanation:

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• SI.A y =5x-1
• Zero of function (-1,0)

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Answers

Answer:

[tex]f(x) = \frac{5x^2 + 4x - 1}{x - 2}[/tex]

Step-by-step explanation:

Given

VA; [tex]x = 2[/tex]

SLA: [tex]y = 5x - 1[/tex]

Zero of function: [tex](-1,0)[/tex]

Required

Determine the rational function in expanded form

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The vertical asymptote is given as:

[tex]x = 2[/tex]

Subtract 2 from both sides

[tex]x - 2 = 2 - 2[/tex]

[tex]x - 2 = 0[/tex]

This means that the denominator must be [tex]x - 2[/tex]

Analyzing the zero of the function

The zero of the function is given as: [tex](-1,0)[/tex]

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[tex]x + 1 =0[/tex]

This means that one of the numerators must be [tex]x + 1[/tex]

Analyzing the slant asymptote:

[tex]y = 5x - 1[/tex]

This means that one of the numerators must be [tex]5x - 1[/tex]

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[tex]f(x) = \frac{(5x - 1)(x+1)}{x - 2}[/tex]

Expand the numerator

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[tex]f(x) = \frac{5x^2 + 4x - 1}{x - 2}[/tex]

An elevator travels 310 feet in 10 seconds. At that speed, how far can this elevator travel in 14 seconds?

Answers

Answer:

434

Step-by-step explanation:

To find the answer you divide 310 by 10 to get it's feet per second (f/s) which is 31, and then you multiply 31 by 14 to get the distance the elevator will travel in 14 seconds.

Mark brainliest pls :)

Answer:

434 feet

Step-by-step explanation:

310 divided by 10 = 31

31 times 14 = 434 feet

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Answers

Answer:

400

Step-by-step explanation:

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