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ELEN [110]
4 years ago
14

Y = -27x + 577, where x represents the number of weeks and y represents the amount of money left in her account. After how many

weeks will Alma have $145 left in her account?
Mathematics
1 answer:
Illusion [34]4 years ago
7 0
To solve this problem, plugin 145 where the y is located and then solve for x
y = -27x +577
145 = -27x +577
145 -577 = -27x
-432 = -27x
-432/-27 = -27x/-27
16 = x
x = 16
After 16 weeks she will have $145 dollars in her account.

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Find the equations of the tangents to the curve x = 9t2 + 9, y = 6t3 + 6 that pass through the point (18, 12).
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Check the attached file for the answer.

6 0
4 years ago
Vedant runs around a square park of side 42m, three times. Rehan runs around a rectangular park of length 40m and breadth 18m, f
lana [24]

Answer:

Rehan;

76m

Step-by-step explanation:

Distance covered by running around square park :

Perimeter of square = 4s ; s = side length of square

Perimeter = 4 * 42m = 168 m

Total distance covered = 168m * 3 = 504m

Distance covered by running around rectangular park :

Perimeter of rectangle = 2(l + w) ;

Perimeter = 2(40 + 18) = 2(58) = 116 m

Total distance covered = 116m * 5= 580m

580m - 504m = 76m

Rehan covered more distance

4 0
3 years ago
linda is building a rectangular playhouse. the width is x feet. the length is x + 3 the distance around the base of the playhous
Fittoniya [83]
What + 3 = 4 and 9 is the width 9 times 4 = 36

5 0
3 years ago
In a game the player wins if you roll a six on a number cube is the number cube is rolled 18 times then what is a reasonable pre
skad [1K]

Answer:

14 rolls

Step-by-step explanation:

Each result 1-6 has an equal chance. The probability is the number of chances divided by the total number. The total number of options is 6 since it is a six sided cube. Rolling a 6 which is represented once is a 1 out 6 likelihood.

1 out of 6 is 1/6 = 0.17 = 17%.

This means that 83% of the time will be unsuccessful of 18 rolls.

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8 0
3 years ago
Read 2 more answers
An equilateral triangle with side lengths of 8.7 centimeters is shown. An apothem has a length of a and the radius has a length
shutvik [7]

Options A,B and D. The correction about the area of the triangle are

  • The apothem can be found using the Pythagorean theorem.
  • The apothem can be found using the tangent ratio.
  • The length of the apothem is approximately 2.5 cm.

<h3>How to solve for the length of the Apothem using the Pythagoras theorem</h3>

Firstly this is an equilateral triangle

3 of the sides have the length of 8.7cm

b = half of 8.7

= 4.35cm

To get A we have

a² + b² = c²

a² + 4.35² = 5²

When we solve this out we would have

a² = 25 - 18.9225

a ≈ 2.5 cm.

Hence we have proved that the first option is correct.

<u>For B,</u>

In an equilateral triangles, each of the angles = 60 degrees

60/2 = 30 is the angle that is made from the base

<h3>using tangent ratios </h3>

a / 4.35 = tan 30

then a = 4.35 tan 30

This would also give us an approximate of 2.5

For D

The calculations we have done based on the statements in A and B shows that D is correct as 2.5.

Read more on triangles here:

brainly.com/question/18404158

#SPJ1

7 0
2 years ago
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