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2 years ago

Garrett runs a catering service for large

Mathematics

1 answer:

Eduardwww [97]2 years ago

6 0

Hello! :D

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ANSWER : 

90 Tomatoes

SOLUTION : 

You will need x.

So, $\sf{\frac{27}{120} = \frac{x}{400} } \ \\ \\ \ \sf{x = \frac{27 \times 400}{120} =\:} \sf \red{90\:}$

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Ambition Succes

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two mountain bikers leave from the same parking lot and head in opposite directions on two different trails. the first rider goe

sveta [45]

Applying the required rule or theorem, it can be concluded that the second biker is farther from the parking lot. The distance of the bikers to the parking lot are:

i. First biker = 17.0 km

ii. Second biker = 20.22 km

The path of travel of both bikers would form a triangle. Applying the Pythagoras theorem to the path of the first biker would give his distance from the starting point. While applying the cosine rule to the path of second rider would gives his distance to the starting point.

Thus,

a. To determine the distance of the first biker from the parking lot.

Let the required distance be represented by x. Applying the Pythagoras theorem, we have:

$hyp^{2}$ = $adj 1^{2}$ + $adj 2^{2}$

$x^{2}$ = $8^{2}$ + $15^{2}$

= 64 + 225

= 289

x = $\sqrt{289}$

= 17

x = 17 km

Thus, the first biker is 17.0 km from the starting point.

b. To determine the distance of the second biker from the parking lot.

Let the required distance be represented by x. So that applying the cosine rule, we have:

$c^{2}$ = $a^{2}$ + $b^{2}$ - 2ab Cos θ

$x^{2}$ = $8^{2}$ + $15^{2}$ - 2(15*8) Cos (180 - 20)

= 64 + 225 - 240 Cos 160

= 289 - 240 * -0.5

$x^{2}$ = 289 + 120

= 409

x = $\sqrt{409}$

= 20.2237

x = 20.22 km

Thus, the second biker is 20.22 km from the starting point.

Therefore, the second biker is farther from the parking lot.

A sketch of the path of travel for the two bikers is attached for more clarifications.

Visit: brainly.com/question/22699651

7 0

2 years ago

The population of Oak Forest is increasing at a rate of 4% per year. If the population is 74,145 today, what will it be in three

Shtirlitz [24]

Answer:

83,403

Step-by-step explanation: Take 74,145 and multiply it by 4%. Then take that number and add it to the 74,145 and that'll give you year one. For year 2 you'll take your total from year 1 and multiply it by the 4% growth rate then you'll add the 4% to what your ending from year 1 and that'll give you your total growth after 2 years. Then you'll take your ending total from year 2 and multiply it by 4% and then you'll add that 4% to the total end from year 2 and that'll give you your total growth of 4% every year for 3 consecutive years.

Hope this helps!

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3 years ago

Sorry for the wait plz help !!!!!!!

harkovskaia [24]

Answer:

it should be 2 units

Step-by-step explanation:

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3 years ago

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TV=3x-24 and VX=2x+1. What is the value of VX? 1. 25 2. 99 3. 5 4. 51

Maslowich

ΔTXV is an isosceles triangle because ∡T = ∡X therefore TV = VX.

3x - 24 = 2x + 1 |subtract 2x from both sides

x - 24 = 1 |add 24 to both sides

x = 25

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3 years ago

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A mother shares a box of 20 chocolates in the same ratio as her children's ages . Calculate how many chocolates each child gets

Anni [7]

So a box of 20 chocolates is divided between a group of people based on age So the ratio for Sibusiso, Dorris, and Freddy is 2:3:5 Add these together, and you get 10 So to find how much each person gets, divide total amount of chocolates by total age So (20÷10) = 2 So multiply each age term by 2 and you have your answer (4:6:10) So Sibusiso gets 4, Dorris gets 6 and Freddy gets 10

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3 years ago