In ΔMNO, n = 85 inches, o = 10 inches and ∠M=56°. Find the length of m, to the nearest inch.

Answers

Answer 1

Answer:

80

Step-by-step explanation:

Delta math math

Answer 2

The length of m in triangle MNO is approximately 80 inches.

What is a Triangle?

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.

In ΔMNO, n = 85 inches, o = 10 inches, and ∠M=56°.

In this case, we are given the lengths of sides n and o and the measure of angle M. We can use the law of cosines to solve for the length of side m:

⇒ m² = n² + o² - 2 × n × o × cos(∠M)

We are given that n = 85 inches, o = 10 inches, and ∠M = 56°. We can use these values to solve for m:

⇒ m² = 85² + 10² - 2 × 85 × 10 × cos (56°)

We can use a calculator or look up the value of cos 56° to find that it is approximately 0.6. Plugging this value into the formula above gives us:

⇒ m = 79.8397 ≈ 80 inches

Therefore, the length of m in triangle MNO is approximately 80 inches to the nearest inch.

Learn more about the triangles here:

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Related Questions

Suppose you are making a model of a boat. The boat is 720 inches long. If you are using the scale 1 inch : 15 inch, find the length of the model.

Answers

Answer:

48 iches

Step-by-step explanation:

720/15 = 48

Answer:

48:720

Step-by-step explanation:

suppose 7,500 is invested at 1.5%, compounded continuously. what will the account balance be in 16 years?​

Answers

Answer:

[tex]\boxed {\boxed {\sf \$9,534.37}}[/tex]

Step-by-step explanation:

The formula for continuously compounded is:

[tex]A=Pe^{rt}[/tex]

where P is the principal amount, r is the interest rate as a decimal, and t is the amount of time.

The principal amount is $7,500 and time is 16 years. The interest rate is 1.5%. Convert this to a decimal- divide by 100 or move the decimal places two spots to the left.

1.5/100= 0.015         or           1.5 --> 0.15 --> 0.015

Now we know all the values and can substitute them into the formula.

[tex]P= 7500 \\r= 0.015 \\t= 16[/tex]

[tex]A= 7500(e^{0.015*16})[/tex]

Solve the multiplication in the exponent first.

[tex]A= 7500(e^{24})[/tex]

Solve the exponent.

[tex]A= 7500 (1.27124915)[/tex]

[tex]A=9534.368627[/tex]

Round to the nearest cent (hundredth place). The 8 in the thousandth place tells us to the round the 6 to a 7.

[tex]A=9534.37[/tex]

The account balance will be $9,534.37 after 16 years.

Please help will give Brain!!

Answers

I think it would be SAS

Which of the following are composite numbers?
Check all that are true.
33
49
19
7
21

Answers

33, 21,49
Are all composite numbers. :)

PLZZZZ HELP MEEEEEEEE

Answers

I think 1. Is 5, smart ppl please check me!!

ASAP PLSSS!!
Find the slope of the line shown below :

Answers

Answer:

the slope is 3

Step-by-step explanation:

Russom deposits $500 into a compound interest account. The interest rate for the
account is 3.25%. Determine the account balance after 5 years.

Answers

Answer:

$581.25

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 3.25%/100 = 0.0325 per year,

then, solving our equation

I = 500 × 0.0325 × 5 = 81.25

I = $ 81.25

The simple interest accumulated

on a principal of $ 500.00

at a rate of 3.25% per year

for 5 years is $ 81.25.

Witch expression is equivalent to( 3x+4)-(7x+2)

Answers

Answer: -4x+2

Step-by-step explanation: Simplify

The answers is -4x+2.

I need help
Height10 m
Radius3 m
What is the volume of the cone to the nearest whole number?

Answers

Answer:

94m

Step-by-step explanation:

Problem 1
A recipe calls for 1 lb of flour for 1 batch. How many batches can be made with each of the
following amounts?
a. 1 lb
b. 10
c.1 lb

Answers

Answer:

a- 3 batches

b-

[tex]1 \frac{1}{2} = 1.5[/tex]

c- 0.5 batches

Evaluate the function.
f(x) = -2x2 + 8x – 10
Find f(-4)

Answers

Answer:

f(-4)=-2(-4)²+8(-4)-10=-2×16-32-10=-74

Step-by-step explanation:

Given

f(x) = - 2x² + 8x - 10

f(-4) = - 2 * (-4)² + 8 * ( -4 ) - 10

= - 32 - 32 - 10

= - 74

Hope it will help :)

1.4 pounds of almonds, 0.8 pound of cashews, and 2.6 pounds of peanuts. How much does Mila spend in all

Answers

Answer:

the total amount spent is $31.68

Step-by-step explanation:

The computation of total amount spent as follows:

= 1.4 pounds × $9.15 + 0.8 pounds × $10.75 + 2.6 pounds × $3.95

= $12.81 + $8.6 + $10.27

= $31.68

hence, the total amount spent is $31.68

We simply apply the pounds with its price

A landscape architect is designing a public patch with two adjacent circular fountains. The walking paths are tangent to the fountains as shown the lengths are given. Find x and y.

Answers

Answer:

x=4

y=11

Step-by-step explanation:

you know that tangents drawn from same point are congruent

so

6.5x-4.5=5x+1.5

1.5x=6

x=4

4x-1=y

y=11

what is the slope of the function below y=5x+8​

Answers

Answer:

This function is in y=mx+b form, where m is the slope, and b is the y-intercept.

So, for this equation the slope is 5.

Hope this helps!

Please help!!! this is due today I will give brainliest answer

Answers

IM VERY SORRY I DONT KNOW THE REAL ANSWER

Here is my answer. I left some steps because of space. You can ask me if there's something you don't understand.

HELPPPP PLZZZZZZZZZ
WILL MARK BRAINLIEST

Answers

Answer: it is D

Step-by-step explanation:

Ron made 3 pitchers of lemonade to sell at a lemonade stand. The cost of making the lemonade is 50 cents per pitcher of lemonade.

He sold each cup of lemonade for 15 cents, and he sold a total of 36 cups of lemonade.

How much money did Ron make selling lemonade after paying out the cost of making the lemonade?

Answers

Answer:

3.90 I think.

Step-by-step explanation:

first, 15×36. then subtract 50 three times.

Answer:

$3.90

Step-by-step explanation:

The cost of making them all is 1.50 subtracted from the profit he made

What is the final amount if 490 is increased by 15% followed by a further 14% increase?
Give your answer rounded to 2 DP.

Answers

Answer:642.39

Step-by-step explanation:15% of 490 is 73.5490 + 73.5 = 563.514% of 563.5 is 78.89563.5 + 78.89 = 642.39

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

The distance is 7 units between point D and point E

Jason worked 3 more hours than Keith.
Jason worked 12 hours. Which equation
represents this situation, if k is the
number of hours Keith worked?
A. 12 + k = 3
B. 12k = 3
C. k + 3 = 12
D. 3k = 12

Answers

Answer:  C is the answer

Step-by-step explanation:

Because jason did 3 more hours that keith so we add 3 plus the missing number which stands for keith

Answer:

Its C

Step-by-step explanation:

Becuae

What is the area of this trapezoid?
Help! I need this please!

Answers

answer is 26 its the correct answer


For every 15 minutes of driving you've drove 600 miles what is the unit rate

Answers

Answer:

Step-by-step explanation:

40 miles per minute

0.24 as a percent. i already know that its 24% but can you show me an explanation

Answers

Explanation:

So any decimal number is the same as a percentage but take off ONE zero in front of it

So with 0.24 for example, you take off the zero in front and since there are no zeros for the decimal point to be behind, there is no need for the decimal point now, so the percentage is 24%

please HELP ME AHHH need help

Answers

1. Move the 12 to the other side

4x=12

2. Divide both sides by 4

X=4

Directions: Solve for x. Round to the nearest tenth. 16" N 37​

Answers

1776 hope this helps!

The value of x is: x = 35.57.

Here, we have,

given that,

from the given diagram, we get,

it is a right angle triangle,

base = x

hypotenuse = 37

and angle = 16°

now, we know that,

cos θ = adjacent / hypotenuse

so, we get,

cos 16° = x/37

The value of cos 16° is equal to the x-coordinate (0.9613).

∴ cos 16° = 0.9613.

=> 0.9613 = x/37

=> x = 35.57

Hence, The value of x is: x = 35.57.

To learn more about trigonometric relations click :

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word problem please help​

Answers

Answer:

A

Step-by-step explanation:

s = cost of senior ticket

c = cost of child ticket

System of Equations:

8s + 7c = 211

4s + 6c = 138

I used the elimination method and multiplied the second equation by -2

-8s - 12c = -276

add the above to the first equation and get

-5c = -65

c = 13

now find s

8s + 7(13) = 211

8s + 91 = 211

8s = 120

s = 15

5 skaters who brought skates 3 rented skates If there were 12 more skaters who brought their skates than skaters who rented skates how many skates were there all together

Answers

Answer and explanation:

Given that 5 skaters brought their skates

3 skaters rented their skates

And 12 more skaters brought their skates than skaters who rented skates

Then there are 5+3+12= 20skates altogether

I need to find the measure of angle A

Answers

Answer:

∠ A = 30°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

90 + x + 67 + x + 37 = 180, that is

2x + 194 = 180 ( subtract 194 from both sides )

2x = - 14 ( divide both sides by 2 )

x = - 7

Then

∠ A = x + 37 = - 7 + 37 = 30°

True or False. The measure of ∠3 is 55°. And explain the reason.
And i'll give you 20 point's and a brainly

Answers

Answer:

Step-by-step explanation:

The complement of "x" is "90-x".

The complement of 55 degrees is 90-55 = 35 degrees

--------------

The supplement of "x" is 180 -x.

The supplement of 170 degrees is 180-170 = 10 degrees.

Jonah is going to the hardware store for his Uncle Frederick. He needs to buy 4 yards of electrical wire
and 14 quarts of liquid nails.
a. The store only sells wire by the foot. How many feet does Jonah need?
b. The store only sells liquid nails by the gallon. How many gallons does Jonah need?

Answers

Answer:

13 gallons

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w

w

w

w

w

w

Step-by-step explanation:

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