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2 years ago

Need help on geometry TO PASS My Class so can you help please

Mathematics

2 answers:

sveticcg [70]2 years ago

8 0

Since it's a equilateral triangle.

$\\ \sf\longmapsto 5x+5x+5x=180$

$\\ \sf\longmapsto 15x=180$

$\\ \sf\longmapsto x=12$

m<S=5x=60°

gogolik [260]2 years ago

6 0

Answer:

x=12

Step-by-step explanation:

since it is an equilateral triangle the angle r all the same the angle have to equal 60

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Can you solve this equation???

ad-work [718]

Answer:

-6

Step-by-step explanation:

Move the variable to the left hand side and change its sign.

5 - 2x + 4x = -7

Collect like terms.

- 2x + 4x = - 7 - 5

2x = - 7 - 5

Calculate the difference.

2x = -12

Divide both sides.

x = -6

5 0

3 years ago

A bacterial culture starts with 500 bacteria and doubles in size every half-hour.

tekilochka [14]

Answer:

a). 32000

b). $T_{t}=500\times 4^{t}$

c). 1259

Step-by-step explanation:

Growth of a bacteria is always exponential. Therefore, population of the bacteria is represented by the the geometric sequence.

Sum of the bacterial population after t hours will be represented by

$T_{n}=ar^{n}$

Where a = population at the start

r = ratio with the population is growing

n = time or duration of the growth in one hour

a). Population of 500 bacteria gets doubled after half an hour.

Or gets 4 times after an hour

This sequence will have a common ratio r = 4

and initial population a = 500

Therefore, population of the bacteria after 3 hours will be

$T_{3}=500\times 4^{3}$

$T_{3}=32000$

b). After t hours number of bacteria will be represented by

$T_{t}=500\times 4^{t}$

c). We have to calculate the population after 40 minutes.

That means duration 't' = 40 minutes of $\frac{2}{3}$ hours

By the formula,

$T_{\frac{2}{3}}=500\times 4^{\frac{2}{3}}$

$T_{\frac{2}{3}}=1259.92$ ≈ 1259

Therefore, number of bacteria after 40 minutes will be 1259.

8 0

2 years ago

Read 2 more answers

You reach into a bag of coins and withdraw two coins. What is the probability you withdrew a nickel and then a dime if the bag h

VMariaS [17]

14/19 if you add the amount of nickels and dimes together and then for the denominator just add all of the coins together.

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3 years ago

For safety reasons, four different alarm systems were installed in the vault containing the safety deposit boxes at a beverly hi

AleksAgata [21]

The probability any one system works is 0.99
So the probability of any one system failing is 1-0.99 = 0.01, so basically a 1% chance of failure for any one system

Multiply out the value 0.01 with itself four times
0.01*0.01*0.01*0.01 = 0.000 000 01
I'm using spaces to make the number more readable
So the probability of all four systems failing is 0.00000001
Subtract this value from 1 to get
1 - 0.00000001 = 0.99999999

The answer is 0.99999999 which is what we'd expect. The probability of at least one of the systems working is very very close to 1 (aka 100%)

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2 years ago

Which property is demonstrated <br> 9 * 3 * 4 = 4 * 3 * 9

mr_godi [17]

The commutative property of multiplication.

4 0

2 years ago