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3 years ago

Write the ratio as a fraction in simplest form. The ratio for 18 girls to 27 boys as a fraction is .

Mathematics

1 answer:

love history [14]3 years ago

6 0

Answer:

2/3

Step-by-step explanation:

Reduce the fraction 18/27 into its lowest terms

since both 18 and 27 are divisible by 9, divide both terms by 9

18/9 = 2

27/9 = 3

18/27 reduced to lowest terms is 2/3

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If triangle ABC is isosceles and triangle DBE is equilateral what is the measure of angle C

luda_lava [24]

Answer:

43°

Step-by-step explanation:

For triangle ABC:

A = C so all we need to do is to calculate the value of B

The measure of angle ABD is given as 17° so the measure of angle EBC must be 17° as well

Since DBE is an equilateral triangle angle is DBE = 60°

17 + 17 + 60 = 94 this is the measure of angle B

The sum of interior angles in a triangle is equal to 180

A + B + C = 180

A + C + 94 = 180

A + C = 86 since A = C we divide 86 by 2

C = 43°

6 0

2 years ago

In triangle PQR, the measure of angle P=53degrees, PQ=7.4, and PR=9.6. what is the measure of angle R to the nearest degree?

grigory [225]

The answer is B 49 degrees

6 0

2 years ago

Jennie is training for a race. On Tuesday She finished her sprint 0.305 second faster than on Monday. be How can you explain the

disa [49]

Have Monday equal to the variable X
Monday = X
Tuesday is 0.305 faster therefore
Tuesday = x+0.305

4 0

2 years ago

Read 2 more answers

You are debating about whether to buy a new computer for $800.00 or a refurbished computer with the same equipment for $640.00.

liraira [26]

APR refers to annual interest rate i e 4.5%

Difference:-

800-640
160$

Now

Interest:-

160(0.045)
7.20$

Total savings:-

160+7.20
167.20$

Remember the code:-

Question's calculations mostly given in its options

4 0

2 years ago

The common ratio in a geometric series is 0.5 and the first term is 256. Find the sum of the first 6 terms in the series

Svetach [21]

Answer:

The sum of the first 6 terms of the series is 504.

Step-by-step explanation:

Given that,

Common ratio in a geometric series is, r = 0.5

First term of the series, a = 256

We need to find the sum of the first 6 terms in the series. If a and r area the first term and common ratio of a series, then the series becomes:

$a,ar^1,ar^2,ar^3......$

The sum of n terms of a GP is given by :

$S_n=\dfrac{a(1-r^n)}{1-r}$

Here, n = 6

$S_n=\dfrac{256\times (1-(0.5)^6)}{1-0.5}\\\\S_n=504$

So, the sum of the first 6 terms of the series is 504.

4 0

3 years ago