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2 years ago

Find the values of m and n

Mathematics

1 answer:

kherson [118]2 years ago

6 0

Answer:

m=30°

n=35°

Step-by-step explanation:

So the right triangle's angles are 90 and 70 so m=30° because sum of angles in a triangle=180°

since the triangle with 110 degrees is congruent, that means the other blank angle is also N.

so if the sum of angles in a triangle is 180 degrees,

110+2n=180

2n=180-110

2n=70

n=35

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Tyler wears a jacket to school every 3rd day and a scarf to school every 8th day. What will be the first day Tyler will wear his

disa [49]

Answer:

24th day will be the first day on which Tyler will wear his jackets and scarf to school

Step-by-step explanation:

We can find the first day on which the Tyler will wear his jackets and scarf to school by taking the LCM of(3,8)

<u>Finding the LCM of(3,8)</u>

List all prime factors for each number.

Prime Factorisation of 3 shows:

3 is prime => $3^1$

Prime Factorisation of 8 is:

2 x 2 x 2 => $2^3$

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new super-set list is

2, 2, 2, 3

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6 0

2 years ago

For every 6 kg of a child's weight, pediatricians prescribe 7 mg of fever reducer. If Greg weighs 42 kg, how many milligrams

olya-2409 [2.1K]

Answer:

49mg

Step-by-step explanation:

let's call every 7 mg of fever reducer a "dose"

Divide the weight of Greg by the weight per "dose"

42/6 = 7 doses

Each "dose" is 7mg. Multiply the number of doses by 7mg.

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Therefore, if Greg weighs 42kg, the pediatrician will prescribe 49mg of fever reducer.

4 0

3 years ago

Read 2 more answers

A bank loaned out $37,500, part of it at the rate of 11% annual interest, and the rest at 9% annual interest. The total interest

kondaur [170]

Answer:

The Loan amount at 11 % interest rate is $ 18,500 And

The Loan amount at 9 % interest rate is $ 19,000

Step-by-step explanation:

Given as :

Let The loan given at interest rate of 11 % annual = $ x

And The loan given at interest rate of 9 % annual = ($37,500 - $ x)

Total interest fro both loan = $3745

I.e CI 1 + CI 2 = $3745

Now, From compound interest method :

$Amount= Principal\times (1 + \frac{Rate}{100})^{Time}$

$A 1 = $ 1\times (1 + \frac{11}{100})^{1}$

Or, A 1 = $ 1.11 x

<u>Similarly</u>

$A 2 = ($37,500 -x ) \times (1 + \frac{9}{100})^{1}$

Or, A 2 = 1.09 × ($37,500 - $ x)

∵ Compound Interest = Amount - principal

Or, $ 3745 = CI 1 + CI 2

Or, $ 3745 = ($ 1.11 x - $ x) + ( 1.09 × ($37,500 - $ x) - ($37,500 - $ x) )

Or, $ 3745 = $ .11 x+ ($37,500 - $ x) ( .09 )

Or, $ 3745 = $ .02 x + $ 3375

or, 0.02 x = $ 3745 - $ 3375

∴ x = $ $\frac{370}{.02}$

SO, x = $ 18,500

And $ 37500 - x = $ 19,000

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The Loan amount at 9 % interest rate is $ 19,000 Answer

4 0

3 years ago

What is 7.5 divided by 127.5??

Advocard [28]

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3 years ago

Read 2 more answers

Solve the inequality –18 + y < –7.

Sidana [21]

Answer:

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Step-by-step explanation:

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2 years ago