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AVprozaik [17]
3 years ago
15

Robert needs enough mulch to cover the triangular garden shown below. If one bag of mulch covers 12 square feet, how many bags o

f mulch does he need to buy?

Mathematics
2 answers:
marysya [2.9K]3 years ago
8 0

Answer:

≈ 6 bags

Step-by-step explanation:

We need to find the area of the triangle

A = 1/2*the base*the height

Here we have:

  • the base: 14.1 ft
  • the height: 9 ft

=> the area of the triangular garden is: A = 1/2*14.1*9 = 63.45 square feet

Because one bag of mulch covers 12 square feet

=> the number of bags he need to buy is:

= the area of the triangular garden / the area of the bag can cover

= 63.45 / 12 ≈5.2875 bags

≈ 6 bags

nexus9112 [7]3 years ago
4 0
He needs to buy 6 bags of mulch
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If you gain 7 dollars every 65 second how long will it take to get 50000 dollars
Vlada [557]

Answer:

5 days

(the exact number of days below)

Step-by-step explanation:

65/7=9.28571429

9.28571429 sec = 1 dollar

464285.715 seconds=50000 dollars

464285.715 seconds=5.373677256944 days

4 0
1 year ago
The monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical, normal distribution. Th
e-lub [12.9K]

Answer:

95% of monthly food expenditures are between $110 and $190.

Step-by-step explanation:

Given : The monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical, normal distribution. The sample mean is $150 and the standard deviation is $20.

To find : Using the Empirical rule, about 95% of the monthly food expenditures are between which of the following two amounts?

Solution :

At 95% of the data is between two standard deviation to left and right of the mean is given by,

To the left side, \bar{x}-2\sigma

To the right side, \bar{x}+2\sigma

We have given,

The sample mean \bar{x}=\$150

The standard deviation \sigma=\$20

Substitute in the formula,

\bar{x}-2\sigma

=150-2(20)

=150-40

=110

\bar{x}+2\sigma

=150+2(20)

=150+40

=190

Therefore, 95% of monthly food expenditures are between $110 and $190.

6 0
3 years ago
A hiker starting at point P on a straight road wants to reach a forest cabin that is 2 km from a point Q, 3 km down the road fro
pantera1 [17]

Answer:

2.19 km

Step-by-step explanation:

If x is the distance she walks down the road before turning, then the total time is:

t = x/8 + √((3 − x)² + 2²) / 3

t = x/8 + √(9 − 6x + x² + 4) / 3

24t = 3x + 8√(13 − 6x + x²)

24t = 3x + 8(13 − 6x + x²)^½

Take derivative of both sides with respect to x.

24 dt/dx = 3 + 4(13 − 6x + x²)^-½ (-6 + 2x)

When t is a minimum, dt/dx = 0.

0 = 3 + 4(13 − 6x + x²)^-½ (-6 + 2x)

-3 = 4(13 − 6x + x²)^-½ (-6 + 2x)

3 / (6 − 2x) = 4(13 − 6x + x²)^-½

3 / (24 − 8x) = (13 − 6x + x²)^-½

(24 − 8x) / 3 = (13 − 6x + x²)^½

(24 − 8x)² / 9 = 13 − 6x + x²

576 − 384x + 64x² = 117 − 54x + 9x²

459 − 330x + 55x² = 0

Solve with quadratic formula.

x = [ 330 ± √((-330)² − 4(55)(459)) ] / 2(55)

x = (330 ± √7920) / 110

x = 2.19 or 3.81

Since 0 < x < 3, x = 2.19.

7 0
3 years ago
Consider an experiment with a deck of 52 playing cards, in which there are 13 cards in each suit, two suits are black, and two s
lakkis [162]

Answer:

<u>P (E1) = 1/2 or 50%</u>

<u>P (E2) = 3/13 or 23%</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of playing cards = 52

Number of suits = 4

Number of cards per suit = 13

Number of black suits = 2

Number of red suits = 2

2.  Suppose E1 = the outcome is a red card and E2 = the outcome is a face card (K, Q, J). Determine P(E1 or E2).

P (E1) = Number of red cards/Total of playing cards

P (E1) = 26/52 = 1/2 = 50%

P (E2) = Number of face cards/Total of playing cards

P (E2) = 12/52 = 3/13 = 23%

8 0
3 years ago
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What are the coordinates A’ after 90 counterclockwise rotation about the origin.
vampirchik [111]

Answer:

the above is the answer

hope this is helpful

3 0
3 years ago
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