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3 years ago

Which of the following theorems verifies that WVU= RST

Mathematics

1 answer:

m_a_m_a [10]3 years ago

6 0

Answer:

C. HL

Step-by-step explanation:

The Hypotenuse-Leg Theorem is the only viable way to determine congruency between 2 right triangles.

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Simon has 20 quarters and 12 dimes.He wants to purchase ice cream for his friends.An ice cream cone cost $1.00.How many cones ca

Helga [31]

Answer:

Step-by-step explanation:

Each ice cream cone costs 4 quarters or 10 dimes, so Simon has ...

20/4 + 12/10 = 5 + 1.2 = 6.2

times the price of an ice cream cone. He can buy 6 cones for his friends.

8 0

3 years ago

N is the set of odd natural numbers greater than 11 and less than 21. Use set notation to write the elements of N. N

S_A_V [24]

Answer:

N = {13, 15, 17, 19}

Step-by-step explanation:

The natural numbers greater than 11 and less than 21 are:

12, 13, 14, 15, 16, 17, 18, 19 and 20

Odd numbers are numbers that have remainders when divided by 2. Out of the numbers above, the numbers with remainders when divided by 2 are 13, 15, 17 and 19.

Since N is the set of odd natural numbers greater than 11 and less than 21,

N = {13, 15, 17, 19}

4 0

3 years ago

Read 2 more answers

The population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t. After 3 hours

Arada [10]

Answer:

The number of bacteria at initial = 187

Step-by-step explanation:

Given that the population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t.

$\frac{dN}{dt} = k N$

$\frac{dN}{N} = k dt$

Integrating both side we get

㏑ N = k t + C ------- (1)

Now given that after 3 hours it is observed that 500 bacteria are present and after 10 hours 5000 bacteria are present.

⇒ ㏑ 500 = 3 k + C -------- (2)

⇒ ㏑ 5000 = 10 k + C ------ (3)

⇒ ㏑ 5000 - ㏑ 500 = 7 k

⇒ ㏑ $\frac{5000}{500}$ = 7 k

⇒ ㏑ 10 = 7 k

⇒ k = 0.329

Put this value of k in equation (2),

⇒ ㏑ 500 = 3 × 0.329 + C

⇒ C = 5.23

Put this value of C in equation 1 we get,

⇒ ㏑ N = k t + 5.23

Initially when t = 0 , then

⇒ ㏑ N = 5.23

⇒ N = 187

Thus the number of bacteria at initial = 187

8 0

3 years ago

If you do these ill give brainliest!! someone smart please help. im struggling

IRISSAK [1]

ANSWER:
15
32
31
10
23
6.5
35
4.8
63
66
200
72
Solution:
Say you have a triangle that is 2.5 by 1
The Number that comes first is the base and there’s only one bass and there’s two sides in those size are 1 so 1×2 is 2+2.5=4.5 so all you’re doing is adding up all the sides together on any shape

4 0

3 years ago

Explain the process and the properties you have to use to solve the logarithmic equation: log(3)x + log(3)4 - 2 log(3)3 = 2

Akimi4 [234]

81/4

Step-by-step explanation:

$log_{3}( \frac{4x}{{3}^{2} } ) = 2$

${3}^{2} = \frac{4x}{ {3 }^{2} }$

9=4x/9

81=4×

x=81/4

adding logs means elements are multiplied, subtracting means divide. number in front of log is raised to power

base of log is raised to power of element after =

element in log is then equal to log base raised to power

solve resulting equation

6 0

3 years ago