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2 years ago

What is the equation for 87÷75.69

Mathematics

2 answers:

vova2212 [387]2 years ago

5 0

Step-by-step explanation:

hope it help you.

thanks.��

True [87]2 years ago

4 0

Answer:

1.14942528736

Step-by-step explanation:

Sorry if I'm wrong I'm not really good at math

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A 6-foot man walks on level ground toward a 60 foot flag pole. He notes different angles of elevation θ to the top of the pole w

krek1111 [17]

Answer:

a) x = 54/tan(theta)

b) theta = arctan(54/x)

Step-by-step explanation:

a) The tangent ratio is the ratio of the side opposite an acute angle in a right triangle to the adjacent side. For the angle of elevation, the adjacent side is the distance x to the flagpole. The side opposite is the 54-foot difference between the top of the man's head and the top of the flagpole. So, we have ...

tan(theta) = 54/x

Solving for x gives ...

x = 54/tan(theta)

b) Solving the first equation in the previous part for theta involves the inverse tangent function:

theta = arctan(54/x)

5 0

3 years ago

M <N= ...the scale factor is 2

aivan3 [116]

We know that the sum of the internal angles in each triangle is 180°.

Therefore we have the equation:

$m\angle C+m\angle D+m\angle E=180^o$

substitute and solve:

$79+(6x+11)+(7x-14)=180\\(6x+7x)+(79+11-14)=180\\13x+76=180\ \ \ |-76\\13x=104\ \ \ |:13\\x=8$

We have

$m\angle N=3x+18$

substitute the value of x to the expression:

$m\angle N=3(8)+18=24+18=42$

Answer: m∠N = 42 degrees

7 0

2 years ago

A biologist recorded a count of 360 bacteria present in a culture after 5 minutes and 1000 bacteria present after 20 minutes. Wr

maksim [4K]

Answer:

$r = \frac{ln(\frac{25}{9})}{15}= 0.06811008317$

$A_o = \frac{360}{e^{5*0.06811008317}} = 256.0963179$

And our exponential model would be:

$A(t) = 256.0963179 e^{0.06811008317 t}$

Step-by-step explanation:

We want to adjust an exponential model given by this general expression:

$A(t)= A_o e^{rt}$

Where A(t) represent the number of bacteria after some t minuts

t represent the time in minutes

$A_o$ represent the initial amount of bacteria

$r$ represent the growth/decay rate

For this problem we know the following two conditions:

$A(5)= 360, A(20) = 1000$

Using the first condition we have this:

$360 = A_o e^{5r}$

We can solve for the initial amount $A_o$ and we got:

$A_o = \frac{360}{e^{5r}}$ (1)

Now using the second condition we have this:

$1000 = A_o e^{20r}$ (2)

Replacing equation (1) into (2) we have this:

$1000 =\frac{360}{e^{5r}} e^{20r} = 360 e^{15r}$ (3)

Now we can divide both sides by 360 and we got:

$\frac{1000}{360}=\frac{25}{9}= e^{15r}$

Now we can apply natural log on both sides and we got:

$ln(\frac{25}{9}) = 15r$

And solving for r we got:

$r = \frac{ln(\frac{25}{9})}{15}= 0.06811008317$

And replacing this value of r into equation (1) we got:

$A_o = \frac{360}{e^{5*0.06811008317}} = 256.0963179$

And our exponential model would be:

$A(t) = 256.0963179 e^{0.06811008317 t}$

8 0

3 years ago

Which two solids have the same number of faces?

Vera_Pavlovna [14]

We need the pictures

6 0

3 years ago

Read 2 more answers

Fill in the blank spaces please.

Kisachek [45]

PART A

If 4 pounds = 10 dollars...

4/2 = 2

10/2 = 5

So for 2 pounds, it would cost $5.00

Now for the 1 pound one

4/1 = 4

10/4 = 2.5

For the 1 pound one, it would cost $2.50

PART B

We know that 4 pounds = 10 bucks

Since 1 is 1/10 of 10 (in the cost section), we have to apply this to the pounds section. 4/10 = 0.4. Therefore, $1 = 0.4lb

Now for the last blank...

Since $1 = 0.4, we multiply that by 9. 0.4 x $9 = 3.6lb

HOPE THIS HELPED

5 0

2 years ago