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2 years ago

Which unit of measurements best estimate the of a juice box ( millimeters or centimeters or liters or meters) ?

Mathematics

2 answers:

Ber [7]2 years ago

5 0

Liters
This is the answer

Arturiano [62]2 years ago

3 0

Answer : Centimeters

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Jason and Alison are hiking in the woods when they spot a rare owl in a tree. Jason stops and measures an angle of elevation of

Shalnov [3]

Answer:

$Owl= 67.14ft$

Step-by-step explanation:

<em>See comment for complete question.</em>

The given information is represented in the attached figure.

First convert 22°8'6'' and 30° 40’ 30” to degrees

$22^{\circ} 8'6'' = 22 + \frac{8}{60} + \frac{6}{3600}$

$22^{\circ} 8'6'' = 22.135^{\circ}$

$30^{\circ} 40'30'' = 30 + \frac{40}{60} + \frac{30}{3600}$

$30^{\circ} 40'30'' = 30.675^{\circ}$

Considering Jason's position:

$tan(22.135^{\circ}) = \frac{H}{x + 48}$

Where x = distance between the tree and Alison

Make H the subject

$H = (x + 48)tan(22.135^{\circ})$

Considering Alison's position

$tan(30.675^{\circ}) = \frac{H}{x}$

Make H the subject

$H = xtan(30.675^{\circ})$

$H = H$

$(x + 48)tan(22.135^{\circ}) = xtan(30.675^{\circ})$

$(x + 48) *0.4068 = x* 0.5932$

Open bracket

$x *0.4068 + 48 *0.4068 = 0.5932x$

$0.4068x + 19.5264 = 0.5932x$

Collect Like Terms

$-0.5932x+0.4068x = -19.5264$

$-0.1864x = -19.5264$

$0.1864x = 19.5264$

Make x the subject

$x = \frac{19.5264}{0.1864}$

$x = 104.76$

Substitute 104.76 for x in $H = xtan(30.675^{\circ})$

$H = 104.76 * tan(30.675^{\circ})$

$H = 104.76 * 0.5932$

$H = 62.14$

The above represents the height of the tree.

The height of the owl is:

$Owl= H + 5$

$Owl= 62.14 + 5$

$Owl= 67.14ft$

7 0

1 year ago

Pls ans both the questions im very confused

lions [1.4K]

Answer:

Step-by-step explanation:

In Δ PQS and ΔPQT

∠QPS = ∠RPT {Common angle}

∠PSQ = ∠PTR = 90° {QS & RT are altitude}

QS = RT {given}

ΔPQS ≅ ΔPRT {A A S congruent}

PQ = PS {CPCT}

So, PQR is an isosceles triangle.

a) Flas card (I) and (iii) are congruent.

b) A S A congruent

c) BC ≅ RP

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2 years ago

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andreev551 [17]

..........................

3 0

2 years ago

A savings account with a current balance of $5,000 earns 2.75% annual interest, compounded continuously. To the nearest dollar,

Anna11 [10]

Use this formula. P=5000, r=0.0275, n=e, t=10

4 0

2 years ago

Read 2 more answers

An account pays 6% compound interest. In year 1, the amount in the account is $70. How much is in the account in year 5?

kobusy [5.1K]

Answer:

$91 is the answer.

Step-by-step explanation:

R = 6%

P = $70

T = 5 year

now

I = PTR/100

=(70×5×6)100

= 2100/100

= $21

So,

I = A-P

21 = A-70

21+70 = A

so, A = $91

8 0

2 years ago

Which unit of measurements best estimate the of a juice box ( millimeters or centimeters or liters or meters) ? ￼￼￼￼￼￼￼￼

Which unit of measurements best estimate the of a juice box ( millimeters or centimeters or liters or meters) ?