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3 years ago

Whats the basic ratio for 24:56

Mathematics

1 answer:

viva [34]3 years ago

4 0

Divide both sides by the GCF which is 8, so it is 3:7

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A triangular brace has an angle measure of 30 degrees, with a side opposite this angle measuring 8 inches. The base of the trian

Ad libitum [116K]

Answer:

Step-by-step explanation:

according to sine rule,

sin(30)/8=sin(x)/11

solving above equation will give

x=43.3

7 0

3 years ago

Dilution Problem

LUCKY_DIMON [66]

Answer:

76.7 liters

Step-by-step explanation:

You have ...

C1×V1 = C2×V2

so ...

V2 = V1×(C1/C2) = (115 L)×(14/21) = 76 2/3 L

V2 ≈ 76.7 L

4 0

3 years ago

A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready func

djyliett [7]

Answer:

$y=120 * 1.1^x$ --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

$x \to months$

$y \to mice$

So, we have:

$(x_1,y_1) = (0,120)$ --- Monday

$(x_2,y_2) = (1,132)$ --- One month later

Required

The function

The function is represented as:

$y=ab^x$

In $(x_1,y_1) = (0,120)$ , we have:

$120 = a * b^0$

$120 = a * 1$

$120 = a$

$a=120$

In $(x_2,y_2) = (1,132)$ , we have:

$132 = a * b^1$

$132 = a * b$

Substitute: $a=120$

$132 = 120 * b$

Solve for b

$b = \frac{132}{120}$

$b = 1.1$

So, the function is:

$y=ab^x$

$y=120 * 1.1^x$

To calculate the monthly rate (r), we have:

$y =a(1 + r)^x$

Compare to: $y =ab^x$

$1 + r = b$

Make r the subject

$r = b-1$

Substitute $b = 1.1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

5 0

2 years ago

part of the river she observed fell 1.68 millimeters per year for 1.5 years. Use the distributive property to calculate the exac

Alecsey [184]

1.68 mm per year for 1.5 years could be rewritten as
(2.00-0.32) mm per year for 1.5 yrs.

Multiply: (1.5 yrs)(2.00-0.32)(mm/yr) = 3 mm + 0.48 mm = 3.48 mm

This approach makes use of the distributive property of multiplication.

8 0

3 years ago

Angles ∠123 and ∠423 share a ray, what is the ray called?

Jet001 [13]

Answer:

Ray 23

Step-by-step explanation:

8 0

3 years ago