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3 years ago

Four pounds of apples cost $5. Eght pounds of apples cost $10. If the total cost of apples, y varies directly with the

1 answer:

5 0

Well the cost of the apples can be found by dividing the price by the amount bought. ($5/4 or $10/8 = $1.25/lb). If you want to find the amount for 6 pounds just multiply it by the individual cost (6x$1.25= $7.50)

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This question is from the similarity chapter. It would be really kind of you if you would answer this question.

katen-ka-za [31]

Answer:

a) 1650 m

b) 1677.05 m

Step-by-step explanation:

Hi there!

1) Determine what is required for the answers

For part A, we're asked for solve for the horizontal distance in which the road will rise 300 m. In other words, we're solving for the distance from point A to point C, point C being the third vertex of the triangle.

For part B, we're asked to solve for the length of the road, or the length of AB.

2) Prove similarity

In the diagram, we can see that there are two similar triangles: Triangle AXY and ABC (please refer to the image attached).

How do we know they're similar?

Angles AYX and ACB are corresponding and they both measure 90 degrees
Both triangles share angle A

Therefore, the two triangles are similar because of AA~ (angle-angle similarity).

3) Solve for part A

Recall that we need to find the length of AC.

First, set up a proportion. XY corresponds to BC and AY corresponds to AC:

$\frac{XY}{BC}=\frac{AY}{AC}$

Plug in known values

$\frac{2}{300}=\frac{11}{AC}$

Cross-multiply

$2AC=11*300\\2AC=3300\\AC=1650$

Therefore, the road will rise 300 m over a horizontal distance of 1650 m.

4) Solve for part B

To find the length of AB, we can use the Pythagorean theorem:

$a^2+b^2=c^2$ where c is the hypotenuse of a right triangle and a and b are the other sides

Plug in 300 and 1650 as the legs (we are solving for the longest side)

$300^2+1650^2=c^2\\300^2+1650^2=c^2\\2812500=c^2\\1677.05=c$

Therefore, the length of the road is approximately 1677.05 m.

I hope this helps!

3 0

3 years ago

I bed help with these two

frozen [14]

Well if each band needs 15.5 inches and she needs to make 12 headbands she needs 15.5 inches 12 times. Now you can add 15.5 + 15.5 +15.5 (so on) 12 times or you can do it the easier way and do 15.5 times 12. this comes out to 186 inches of ribbon. She estimated 160 inches of ribbon, this is unreasonable because it is significantly less that 186.

5 0

3 years ago

Read 2 more answers

The graph of g is a translation 3 units up, followed by a reflection in the x-axis of the graph of

quester [9]

Answer: NO GRAPH DUMMY

Step-by-step explanation:

8 0

3 years ago

What expressions are equivalent to (a^2-16)(a+4)

Eddi Din [679]

Answer:

[(a)^2-(4^2)](a+4)

Step-by-step explanation:

7 0

3 years ago

Charlotte purchased a pool for $7680 using a six-month deferred payment plan with an interest rate of 20.45%. She did not make a

Georgia [21]

$7680:100%=$x:120.45%, 100x=7680*120.45, x=(7680*120.45)/100, x=$9250.56
Cost of the pool with interest rate is $9250.56.
3yr*12mo=36mo
$9250.56/36mo=256.96$/mo

 Charlotte's monthly payment will be $256.96.

6 0

3 years ago