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romanna [79]
3 years ago
10

Can someone figure this out for me and tell me how you got the answer please!!

Mathematics
1 answer:
Tom [10]3 years ago
7 0

Answer:

24.03 feet

Step-by-step explanation:

tan(59⁰)=40/x

          x=40/tan(59°)

          x=24.03

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In the diagram, how many circles are there for each square?
notsponge [240]
The answer would be be B)2. The ratio of circles to squares is 2 to 1
5 0
3 years ago
Read 2 more answers
PLEASE ANSWER ASAP *picture attached*<br>f(x) = x2 + 1 g(x) = 5 – x
Eva8 [605]

Answer:

x^{2} +x-4

Step-by-step explanation:

To get the answer just subtract f(x) by g(x)

The work is shown below:

(f-g)(x)= f(x)-g(x)\\\\(f-g)(x)= (x^{2} +1)-(5-x)\\\\(f-g)(x)= x^{2} +1-5+x\\\\(f-g)(x)= x^{2} -4+x\\\\(f-g)(x)= x^{2} +x-4\\\\

7 0
2 years ago
Find angle m and angle n
san4es73 [151]

Answer:

m∠M = 79°

m∠N = 66°

Step-by-step explanation:

∠MPN is supplementary to ∠MPQ, so m∠MPN = 35

The sum of the measures of a triangle is 180.

So, m∠M + m∠N + m∠MPN = 180

5y + 4 + 4y + 6 + 35 = 180

9y + 45 = 180

9y = 135

y = 15

m∠M = 5y + 4 = 5(15) + 4 = 75 + 4 = 79

m∠N = 4y + 6 = 4(15) + 6 = 66

Another way to do this problem, which is easier, is to know that an exterior angle of a triangle is equal to the sum of the two remote interior angles.

That means 5y + 4 + 4y + 6 = 145

                      9y + 10 = 145

                      9y = 135

                         y = 15

From knowing the value of y you can now find the measures of angles M and N

5 0
2 years ago
A person invest $10,000 into a bank the bank pays 4.75% interest compounded semi annually. To the nearest 10th of a year, how lo
Mama L [17]

Answer:

T is 13.9 years to the nearest 10th of a year

Step-by-step explanation:

In this question, we are to calculate the number of years at which someone who invests a particular amount will have a particular amount based on compound interest.

To calculate the number of years, what we do is to use the compound interest formula.

Mathematically,

A = P(1+ r/n) ^nt

Where A is the final amount after compounding all interests which is $19,200 according to the question

P is the initial amount invested which is $10,000 according to the question

r is the rate which is 4.75% according to the question = 4.75/100 = 0.0475

n is the number of times per year in which interest is compounded. This is 2 as interest is compounded semi-annually

t= ?

we plug these values;

19200 = 10,000(1+0.0475/2)^2t

divide through by 10,000

1.92 = (1+0.02375)^2t

1.92 = (1.02375)^2t

We find the log of both sides

log 1.92 = log [(1.02375)^2t)

log 1.92 = 2tlog 1.02375

2t = log 1.92/log 1.02375

2t = 27.79

t = 27.79/2

t = 13.89 years

The question asks to give answer to the nearest tenth of a year and thus t = 13.9 years

7 0
3 years ago
a) find center of mass of a solid of constant density bounded below by the paraboloid z=x^2+y^2 and above by the plane z=4.(b) F
slava [35]

Answer: x-bar = y-bar = 0 whereas z-bar = 8/3

               M= (c^2)/8 which is intern equal to 2\sqrt{2}

Step-by-step explanation:

           Find the area, by setting the limits as

               = 4\cdot \int _0^{\frac{\pi }{2}}\int _0^2\int _{r^2}^4\:rdzdrd\theta

                =4\cdot \int _0^{\frac{\pi }{2}}\int _0^2r\cdot \:4-r^3drd\theta

                =4\cdot \int _0^{\frac{\pi }{2}}4d\theta

                 =8\pi

Therefore;

Mxy=  \int _0^{2\pi }\int _0^2\int _{r^2}^4\:zrdzdrd\theta

       z-bar = 8/3

M= 8\pi dividing it into two volume gives us = 4\pi

means  4\pi =\int _0^{2\pi }\int _0^{\sqrt{c}}\int _r^c\:rdzdrd\theta

             4\pi =\left(\pi c^2-2\pi \frac{c^{\frac{3}{2}}}{3}\right)

              c=2\sqrt{2}

       

                 

                 

5 0
3 years ago
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