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4 years ago

Please answer this question only if you know the answer! 20 points and brainliest!

Mathematics

1 answer:

olga_2 [115]4 years ago

8 0

The angle of rotation of a polygon is found using the formula 360/n

Where n is the number of sides.

Shape 1: 360 / 10 = 36

Shape 2: 360 /4 = 90

Shape 3: 360 /5 = 72

Shape 4: 360/8 = 45

Shape 5: 360/3 = 120

Shape 6: circles = 1

Shape 7: 360 /6 = 60

Shape 8: 360 / 12 = 30

There are 3 shapes that are 72 or higher.

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Delvig [45]

The answer is A dijddndndnbdbdbf

5 0

3 years ago

Cost of a comb: $2.50<br> Markup: 90%<br> Tax: 1%

german

The answer is:
$2.50 x 90% = $2.25
$2.50 + $2.25 = $4.75
$4.75 x 1% = .0475
$4.75 + .0475 = $4.7975

Answer rounded $4.80

5 0

3 years ago

When loaded with bricks, a lorry has a mass of 11 600 kg

nataly862011 [7]

Answer:

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4 0

3 years ago

We take a milk carton from the refrigerator and put it on the table at room temperature. We assume that the temperature of the c

Kisachek [45]

We can solve this problem using separation of variables.

Then apply the initial conditions

EXPLANATION

We were given the first order differential equation

$\frac{dT}{dt}=k(T-a)$

We now separate the time and the temperature variables as follows,

$\frac{dT}{T-a}=kdt$

Integrating both sides of the differential equation, we obtain;

$ln(T-a)=kt +c$

This natural logarithmic equation can be rewritten as;

$T-a=e^{kt +c}$

Applying the laws of exponents, we obtain,

$T-a=e^{kt}\times e^{c}$

$T-a=e^{c}e^{kt}$

We were given the initial conditions,

$T(0)=4$

Let us apply this condition to obtain;

$4-20=e^{c}e^{k(0)}$

$-16=e^{c}$

Now our equation, becomes

$T-a=-16e^{kt}$

or

$T=a-16e^{kt}$

When we substitute a=20,
we obtain,

$T=20-16e^{kt}$

b) We were also given that,

$T(5)=8$

Let us apply this condition again to find k.

$8=20-16e^{5k}$

This implied

$-12=-16e^{5k}$

$\frac{-12}{-16}=e^{5k}$

$\frac{3}{4}=e^{5k}$

We take logarithm to base e of both sides,

$ln(\frac{3}{4})=5k$

This implies that,

$\frac{ln(\frac{3}{4})}{5}=k$

$k=-0.2877$

After 15 minutes, the temperature will be,

$T=20-16e^{-0.2877\times 15}$

$T=20-0.21376$

$T=19.786$

After 15 minutes, the temperature is approximately 20°C

6 0

3 years ago

The sum of two numbers is 70. The difference of the two numbers is 32. What are the two numbers.

IRISSAK [1]

51 + 19 = 70

51 - 19 = 32

hope that helped!!

4 0

3 years ago

Read 2 more answers