In ΔMNO, the measure of ∠O=90°, the measure of ∠N=48°, and NO = 73 feet. Find the length of MN to the nearest tenth of a foot.

Answers

Answer 1

Answer:109.1 feet

Step-by-step explanation:

What function uses the ADJACENT and the HYPOTENUSE?

\text{SOH-CAH-TOA}

SOH-CAH-TOA

\cos N = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{73}{x}

cosN=

hypotenuse

adjacent

=

x

73

\cos 48=\frac{73}{x}

cos48=

x

73

x\cos 48=73

xcos48=73

Cross multiply.

\frac{x\cos 48}{\cos 48}=\frac{73}{\cos 48}

cos48

xcos48

=

cos48

73

Divide each side by cos 48.

x=\frac{73}{\cos 48}=109.0968\approx 109.1\text{ feet}

x=

cos48

73

=109.0968≈109.1 feet

Type into calculator and roundto the nearest tenth of a foot.


Related Questions

Which equation can be used to solve for b?

Answers

Answer:

tan(30)=5/b

Step-by-step explanation:

Answer:

a^2 + b^2 = c^2

Step-by-step explanation:

Solve for x. 2x−5=−x+7

Answers

Answer:

x = 4

Step-by-step explanation

2x−5+x=−x+7+x

3x−5=7

3x−5+5=7+5

3x=12

x=4

Answer:

x = 4

Step-by-step explanation:

You need to isolate the variable on one side first so that the equation is easier to solve.  To do that, add x to both sides to get 2x + x, which is 3x.  This gets rid of the -x on the other side and results with the new equation

3x - 5 = 7.   Add 5 to both sides to get 3x = 12, then divide both sides by 3 to get x = 4.  

You can check your work by plugging in 4 for x.  

2(4) - 5 = -(4) + 7

8 - 5 = 3

3 = 3

Therefore, x is equal to 4.  

Hope this helped!  Have a good day!  

A repairman leans the top of an 26 foot ladder against the
top of a stone wall. The base of the ladder is 4.7 feet from
the wall. How tall is the wall? (Use Pythagorean Theorem:
a² + b2= c2)

Answers

Answer:

653.91 squared or 326.955 not squared

Step-by-step explanation:

We have a hyponuse of 26 and one leg of 4.7 and we are trying to figure out the missing leg!

The first step is

A^2 + B^2 = C^2

2 step

4.7^2 + B^2 = 26^2

3 step

4.7 x 4.7 =  22.09  and 26 x 26 = 676

4 step

22.09 + B^2 = 676

5 step

676 - 22.09 = 653.91

6 step

Answer

653.91 squared or 326.955 not squared!

hope this helps

you can buy 5 cans of black beans for $2.40. What is the unit price?
help me please I beg of you math lords

Answers

Answer: $0.48 (48 cents per can)

Steps: 2.40 = 5x
2.40/5 = x
0.48 = x
48 cents per can

Answer:

48 cents

Step-by-step explanation:

divsion sorry im not a math lord

What is the reflected across y-axis and reflected across x-axis for (-2, 6)​

Answers

across the y axis it will be (2, 6)

if reflected across x axis it will be (-2, -6)

A lacrosse player throws a ball into the air from a height of 8 feet with an initial vertical
velocity of 32 feet per second. What is the maximum height of the ball? When will the ball hit the ground?

Answers

Answer:

256

Step-by-step explanation:

Read the answer carefully and then you'll know hey i need to multiply 8 times 32.

And what do you get...... 256

Modeling the situation with a quadratic equation, it is found that:

The maximum height of the ball is of 60.2 feet.The ball hits the ground after 3.39 seconds.

Considering the gravity, the height of the ball, after t seconds, is given by the following quadratic equation.

[tex]h(t) = -4.9t^2 + v_0t + h_0[/tex]

In which:

[tex]v_0[/tex] is the initial velocity.[tex]h_0[/tex] is the initial height.

In this problem:

Height of 8 feet, thus [tex]h_0 = 8[/tex].Initial velocity of 32 feet per second, [tex]v_0 = 32[/tex]

The equation is:

[tex]h(t) = -4.9t^2 + 32t + 8[/tex]

Which is a quadratic equation with [tex]a = -4.9, b = 32, c = 8[/tex].

The maximum height is the output of the vertex, which is:

[tex]h_{MAX} = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]

Then, with the coefficients of this question:

[tex]h_{MAX} = -\frac{32^2 - 4(-4.9)(8)}{4(-4.9)} = 60.2[/tex]

The maximum height of the ball is of 60.2 feet.

It hits the ground at t for which [tex]h(t) = 0[/tex], thus:

[tex]\Delta = b^2 - 4ac = 32^2 - 4(-4.9)(8) = 1180.8[/tex]

[tex]t_{1} = \frac{-32 + \sqrt{1180.8}}{2(-4.9)} = -0.12[/tex]

[tex]t_{2} = \frac{-32 - \sqrt{1180.8}}{2(-4.9)} = 3.39[/tex]

We want the positive value, so:

The ball hits the ground after 3.39 seconds.

A similar problem is given at https://brainly.com/question/24626341

Please help! I don't understand. view photo.​

Answers

Answer:

Step-by-step explanation:

they are asking about the exponential

b/c it has a 3 in the exponent, it's a cubic   and because it has two terms you can call it a binomial

HELPP! BRAINLIEST AND 10 POINTS !!

what is the height of this triangle?

A. 2 units
B. 3 square units
C. 3 units
D. cant be determined

Answers

Answer:

I think it's 3 units so you got that right

Answer:

its the first one

Step-by-step explanation:

Look below giving brainliest

Answers

Answer:

15

Step-by-step explanation:

I think it's 15....yeah

HELP THIS BS IS DUE IN 20 MINS!!!!!!!

Answers

Answer: 5.5

Step-by-step explanation:

If each sandwich is $5.5 then the slope must be y=5.5x

Find a polynomial f(x) of degree 4 that has the following zeros. 0, -4, 6, -8

Answers

Answer: -10 I think

Step-by-step explanation:

Find X. This is a 40°, 40°, 90° triangle.

Answers

Answer:

In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle. Note that an isosceles right triangle must be a 45°−45°−90° triangle.

Step-by-step explanation:

Find the value of x. (Round to the nearest tenth as needed.)​

Answers

Answer:

Hope that answers your question

Hana writes the equation y=5.5x+11 if she buys 8 books what is the amount spent if she buys 8 books.

Answers

55$ because x is the amount of books so plug it in 5.5(8)+11= 55

David weeds lawns in his neighborhood to earn money to buy video games. For each lawn, he charges $5.50. If he weeds 4 lawns on Saturday, how much money will he earn?

Answers

Answer:

$51.75

Step-by-step explanation:

Answer:

$22

Step-by-step explanation:

4 * 5.50 = 22

please help me, i'll give you brainlyist
20 points (maths)

Answers

Answer:

Your answer would be 3/5 or 3:5

Step-by-step explanation:

[tex]21\geq 12+x[/tex]

Answers

Answer : Inequality form : x <_ 9

Interval Notation: ( - ∞, 9)

What are the coordinates of V' when (T<-3, 1> ° D.)(TUV) of T(-7,-6), U(-8, 3), V(2, 1)?

Answers

Answer:(332)

Step-by-step explanation:

one hundred and sixty-two thousandths as a decimal​

Answers

Answer:

0.0162

Step-by-step explanation:

Cause it is

Answer:

0.162

Step-by-step explanation:

one hundred and sixty-two thousandths

162/1000 = 0.162

What is the vertex of the parabola y=(x+3)+9?
(3,9)
O (-3,-9)
O (3,9)

Answers

The answer is C. (-3,9)

-2/7 ÷ (-8/21) step by step answer

please this homework is due today its benchmark practice and i have to sleep like in 10 or 7 min like no joke​

Answers

Answer:

1.3

Step-by-step explanation:

first, divide the parentheses:-8/21= -0.380952

second, dived -2/7= -0.285714

now divide both of them   -0.380952 ÷ -0.285714 = 1.3

help please and thank you
!!

Answers

Answer:

f(x) = 2ˣ + 1

Step-by-step explanation:

Based on the exponential increase, you know that it will be an exponential equation, meaning that you can cancel out the first two options.

The easiest way to do pick the between the two remaining equations is by plugging in an x-value and seeing if the y-value for that equation matches the y-value from the equation.

For (3, 9):

f(x)  =  3ˣ  =  3³  =  27

f(x)  =  2ˣ + 1  =  2³ + 1  =  8 + 1  =  9

The last equation is the equation that is represented by the table.

II.
What is the area of this parallelogram?
in2
h = 5 in.
b = 6 in.
Pls help :)

Answers

The answer is h= 5 inches. Hope it helps

Answer:  30 in²

Step-by-step explanation:

Area = base x height

A = 6 in x 5 in

A = 30 in²

Caleb cut a rope into 4 pieces. The lengths of the pieces of rope are 5 2/8 inches, 7 7/8 inches, 4 1/8 inches, and 3 3/8 inches. Which choice is the closest estimate of the length of the original rope

Answers

Answer:

the actual answer is 20.625 and since there aren't any choices I'll give u my estimated answer: 20

Step-by-step explanation:

I got my estimated answer by rounding each length of rope down or up according to if it was less than 4/8 or higher. example: rounded 7 7/8 to 8

hope this helps <3

What is the area of this parallelogram?


4.9 cm²

12.25 cm²

17.15 cm²

24.01 cm²

PLS HELP!! I WILL GIVE BRAINLYIST

Answers

Answer:

The answer is 17.15! Brainliest pls :D

Answer:

C, 17.15

Step-by-step explanation:

4.9*3.5 = 17.15

How tall is a building 100 feet away if the angle of elevation from the ground to the
top of the building is 20 degrees?

Answers

Answer:

i think it is 50ft but i'm not too sure

Step-by-step explanation:

if you take the 100ft and than use the 20 degrees and divide them you get 50 ? so maybe, just 100 divided by 20

mhanifa or someone else can you PLZ answer this

Answers

Answer:

[tex] \frac{7 {n}^{2} - 41n + 8 }{ {n}^{2} - 1 } [/tex]

Step-by-step explanation:

[tex] \frac{7n}{n + 1} + \frac{8}{n - 7} \\ \\ = \frac{7n(n - 7) + 8(n + 1)}{(n + 1)(n - 1)} \\ \\ = \frac{7 {n}^{2} - 49n + 8n + 8 }{ {n}^{2} - 1 } \\ \\ = \frac{7 {n}^{2} - 41n + 8 }{ {n}^{2} - 1 } [/tex]

Answer:

Simplified:

[tex]\frac{7n}{n + 1} + \frac{8}{n - 7}[/tex]   =[tex]\frac{7n(n - 7) + 8(n + 1)}{(n + 1)(n - 7)}[/tex]   =[tex]\frac{7n^2 - 49n + 8n + 8}{n^2 + n - 7n - 7}[/tex]   =[tex]\frac{7n^2 - 41n + 8}{n^2 - 6n - 7}[/tex]

This can be further simplified if required

[tex]\frac{7n^2 - 42n -49 + n + 57}{n^2 - 6n - 7}[/tex] =[tex]7 + \frac{n + 57}{n^2 - 6n - 7}[/tex]

DESPERATE WILL GIVE BRAINLIST AND THANKS
Which associations best describe the scatter plot?

Select each correct answer.


Nonlinear association

Positive association

Linear association

Negative association

Answers

Answer:

D) I think

Step-by-step explanation:

Answer: From the graph all the points are moving in tandem and shows a directly proportional relation between them . Hence, positive linear association best describe the scatter plot.

Step-by-step explanation:

If l m, identify the angle pair as congruent or supplementary. Justify your reasoning by classifying the angle pair

Answers

Answer:

Not them Still deleting answers

Step-by-step explanation:

A tunnel is in the shape of a parabola.if the tunnel is 40 feet wide and has a maximum height of 12 feet. write the equation of the quadratic function that represents the tunnel(let the axis of symmetry be the y-axis)​

Answers

9514 1404 393

Answer:

  y = -0.03x² +12

Step-by-step explanation:

For "tunnel" or "arch" or "bridge" problems, I like to start with the expression ...

  y = 1 - x²

It has a height of 1 and intersects the x-axis at ±1. This can be scaled to give the appropriate height and x-intercepts.

We want the x-intercepts to be ±20, so we can scale this horizontally by a factor of 20:

  y = 1 -(x/20)²

We want the height to be 12, so we can scale it vertically by a factor of 12:

  y = 12(1 -(x/20)²

  y = 12 -12(x²/400)

  y = -0.03x² +12

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