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ruslelena [56]
2 years ago
8

Please help.. this is so difficult..

Mathematics
1 answer:
Mariana [72]2 years ago
8 0

Answer:

$42.06

Step-by-step explanation:

step 1: find the 6% of 34.50; by multiplying 34.50 x 0.06 ( 0.06 = 6/100 or 6%).

34.50 x 0.06 = 2.07

Step 2: 2.07 + 34.50 = 36.57 -----Total cost of meal + 6% tax.

Step 3: find 15% of 36.57

36.57 x 0.15 = 5.4855

Step 4: 36.57 + 5.49 (rounded because money only has two decimal places)

Answer:

$42.06

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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!

<u>1) Determine what is required for the answers</u>

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.

<u>2) Prove similarity</u>

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?

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

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

<u>3) Solve for part A</u>

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.

<u>4) Solve for part B</u>

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
How many rays can you name using the points shown?​
andre [41]

Answer:

3

Step-by-step explanation:

BC

AC

BA

3 0
3 years ago
The fruity snack company is packaging fruit loop cereal in small snack bags each snack is to weigh 30 grams with a tolerance of
katrin [286]

9514 1404 393

Answer:

  1. |w -30| > 1.6
  2. (-∞, 28.4) U (31.6, ∞)

Step-by-step explanation:

1. The snack bags will be rejected if their weight differs from 30 grams by more than 1.6 grams:

  |w -30| > 1.6

__

2. This inequality resolves to two inequalities.

  w -30 > 1.6

  w > 31.6 . . . . . add 30

and

  -(w -30) > 1.6

  w -30 < -1.6 . . . multiply by -1

  w < 28.4 . . . . . add 30

The solution in interval notation is the union of the two disjoint intervals:

  (-∞, 28.4) U (31.6, ∞)

4 0
3 years ago
A school had 400 girls last year and the number of boys was 95 more than that of the girls. This year the number of girls had in
STatiana [176]

Answer: The fraction by what the number of boys had been reduced=1/11


Step-by-step explanation:

Step 1: To calculate the number of boys last year.

According to the question,

The number of boys last year= 400+95

The number of boys last year=495

Step 2: To calculate the number of girls this year.

According to the question,

The number of girls this year= 400 + 400*1/5

The number of girls this year= 480

Step 3: To calculate the number of boys this year.

According to the question,

The number of boys this year= 480 – 30

The number of boys this year=450

Step 4: To calculate the fraction by what the number of boys had been reduced.

The number of boys reduced= the number of boys last year - the number of boys this year

The number of boys reduced= 495 - 450 = 45

The fraction by what the number of boys had been reduced  

= The number of boys reduced/the number of boys last year

Therefore,

The fraction by what the number of boys had been reduced= 45/495= 1/11


6 0
3 years ago
Read 2 more answers
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Shtirlitz [24]

The midpoint between -4 and 8 is answer B) 2

8 0
3 years ago
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