1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Law Incorporation [45]
2 years ago
5

In ΔMNO, the measure of ∠O=90°, the measure of ∠M=64°, and NO = 70 feet. Find the length of MN to the nearest tenth of a foot.

Mathematics
1 answer:
olga_2 [115]2 years ago
6 0

Answer:

in triangle MNO

relationship between perpendicular and hypotenuse is given by sin angle

sin64°=p/h=70/x

x=70/sin64°=77.88foot

length of MN to the nearest tenth of a foot.

=78ft

You might be interested in
A tank contains 3,000 L of brine with 15 kg of dissolved salt. Pure water enters the tank at a rate of 30 L/min. The solution is
Shalnov [3]

Answer:

Step-by-step explanation:

Volume of tank is 3000L.

Mass of salt is 15kg

Input rate of water is 30L/min

dV/dt=30L/min

Let y(t) be the amount of salt at any time

Then,

dy/dt = input rate - output rate.

The input rate is zero since only water is added and not salt solution

Now, output rate.

Concentrate on of the salt in the tank at any time (t) is given as

Since it holds initially holds 3000L of brine then the mass to volume rate is y(t)/3000

dy/dt= dV/dt × dM/dV

dy/dt=30×y/3000

dy/dt=y/100

Applying variable separation to solve the ODE

1/y dy=0.01dt

Integrate both side

∫ 1/y dy = ∫ 0.01dt

In(y)= 0.01t + A, .A is constant

Take exponential of both side

y=exp(0.01t+A)

y=exp(0.01t)exp(A)

exp(A) is another constant let say C

y(t)=Cexp(0.01t)

The initial condition given

At t=0 y=15kg

15=Cexp(0)

Therefore, C=15

Then, the solution becomes

y(t) = 15exp(0.01t)

At any time that is the mass.

5 0
3 years ago
NEED HELP ASAP. By what percent will a fraction change if its numerator is decreased by 30% and its denominator is decreased by
joja [24]

Answer:

0.7x/0.8y = x/y * 0.7/0.8 = x/y * 0.875

So the fraction is reduced by 12.5%

5 0
3 years ago
Here's a question for the day, it's simple but it needs explaining.
GuDViN [60]
It is used to see if a graph represents a function because if there is 2 dots or intersecting lines within the other lines then it is not a function. if there is only one line or dot, then yes, it is a function. hope i explained it well.
5 0
3 years ago
Read 2 more answers
20 POINTS
yan [13]

Answer:

D. 6x^3 + 8x

Step-by-step explanation:

2x(3x^2 + 4)

Distribute the 2x

2x(3x^2) +2x( 4)

6x^3 +8x

6 0
3 years ago
Please help me with this and explain how you got your answer thank you!!
ioda

Answer:

jwjsbsbhwhwhhw

Step-by-step explanation:

cehehehehrghegeheheheh

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is a good way to remember how many ounces in a cup, etc...?
    13·1 answer
  • Masha had 200 scoops of ice cream and Liz had 180 scoops. After they each ate an equal amount of scoops, the ratio of Masha’s sc
    14·2 answers
  • Use the definition of the derivative to find f'(x) for f(x)=3x^2-5x+2
    12·1 answer
  • Two solutions of the polynomial equation are given. Use synthetic division to find any remaining solutions.
    5·1 answer
  • <img src="https://tex.z-dn.net/?f=f%28x%29%3D3%20x%5E%7B2%7D%20%2B12x%2B16" id="TexFormula1" title="f(x)=3 x^{2} +12x+16" alt="f
    6·1 answer
  • Clara invests $5,000 in an account that pays 6.25% interest per year. After how many years will her investment be worth $10,000?
    10·1 answer
  • Find the volume of the figure
    13·1 answer
  • Which way do you move when a question is asking which pair is located 5 units from point F? Point F being (3,-2)
    13·1 answer
  • Find the solution to the following system using substitution or elimination: y = 3x + 7 y = -2x-3 O A. (1,10) O B. (-2,1) C. (1.
    15·2 answers
  • A lava lamp is an example of which type of heat transfer?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!