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2 years ago

Solve the proportion please. 3.6/8=y/5

Mathematics

2 answers:

UNO [17]2 years ago

5 0

Here you go

y = 3.6*5/8 = 2.25

n200080 [17]2 years ago

4 0

I thibk its 5 tell if im right

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Isosceles △ABC (AC=BC) is inscribed in the circle k(O). Prove that the tangent to the circle at point C is parallel to AB .

timofeeve [1]

Explanation:

Let M be the midpoint of AB. Then CM is the perpendicular bisector of AB. As such, center O is on CM, and OC is a radius (and CM). The tangent is perpendicular to that radius (and CM), so is parallel to AB, which is also perpendicular to CM.

If you need to go any further, you can show that triangles CMA and CMB are congruent, so (linear) angles CMA and CMB are congruent, hence both 90°.

5 0

2 years ago

erica is making necklaces and bracelets to se at the craft show. it takes her 3 hours to make a necklace and 2 hours to make a b

bagirrra123 [75]

Answer:

Erica should make at least 10 necklaces and 15 bracelets to maximize her profit of P = (18 x + 15 y)

Step-by-step explanation:

Let the number of necklaces made = x

Let the number of bracelets made by Erica = y

Now, the time taken to make each necklace = 3 hrs

⇒The time taken to make x necklaces = x times 3 hours = 3x

Also, the time taken to make each bracelet = 2 hrs

⇒The time taken to make y necklaces = y times 2 hours = 2y

So, total time taken to make x necklace and y bracelets = 3x + 2y

Now selling cost of 1 necklace = $18

Also, selling cost of 1 bracelet = $15

So, total selling price of x necklace and y bracelets = 18 x + 15 y

So according to the question:

x + y = 25 ..... (1)

3x + 2y = 60 .... (2)

Solving the above system substitute y = 25- x in (1)

we get: 3x + 2y = 60 ⇒ 3x + 2(25 -x) = 60

or, x = 10

⇒ y = 25 - x = 25 - 10 = 15, or y = 15

So, she should make at least 10 necklaces and 15 bracelets to maximize her profit of P = (18 x + 15 y)

8 0

2 years ago

Read 2 more answers

A store owner wants to give a pen to each customer who visits their store. The table shows the cost for the number of pens in a

Flura [38]

Answer:

$9 for 36

Step-by-step explanation:

Divide the price by the quantity to receive the unit price. Here are the unit prices for each option:

1. $0.54

2. $0.43

3. $0.31

4. $0.28

5. $0.25

Basically, you want the lowest price. So, $9 for 36 is the best value because it costs $0.25 per pen.

8 0

2 years ago

A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the standard deviation. A fre

JulsSmile [24]

Answer:

SD = 7588.09

Step-by-step explanation:

Check the distribution table attached to for the step by step solution:

The formula for the mean, $\bar{x} = \frac{\sum fx}{\sum f}$

$\bar {x} = \frac{1410040}{80} \\\bar {x} = 17625.5$

The variance , $V(X) = \sqrt{\frac{\sum f(x - \bar{x}^2)}{n-1} }$

$V(X) = \frac{4548750000}{80 - 1} \\V(X) = 57579113.92$

Standard Deviation,

$SD = \sqrt{V(X)} \\SD = \sqrt{57579113.92}$

SD = 7588.09

7 0

2 years ago

Read 2 more answers

The diagram shows a scale drawing of a playground. In the scale drawing the playground has a length of 16 cm and a width of 8 cm

kicyunya [14]

Answer:

3 m : 4 cm, 3 m/4 cm, 3 m to 4 cm

Step-by-step explanation:

The actual playground will have an area of 72 m², and have one side be double the other, because the scale drawing does so too.

We can make a system of equations: l * w = 72, l = 2w

Substitute: 2w * w = 72

Simplify: 2 * w² = 72

Divide: w² = 36

Square root: w = 6 m (no negatives due to distances always > 0)

Substitute: l = 2 * 6 m

Simplify: l = 12 m

This means that the relations of one side is 6 m : 8 cm. That can be simplified to 3 m : 4 cm.

8 0

2 years ago