What’s 9 - 70

What is the supplement of 37 degrees? a.53 b.22 c.147 d.143

solniwko [45]

Answer: 143

Explanation: supplementary angles add up to 180 meaning 37 + _ would need to equal 180. The blank number would be 143 since 143 + 37 = 180. Hope this helps!!!

7 0

2 years ago

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In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the d

nikdorinn [45]

Answer:

R = 7,34 km

Ф = 63,43° north of east

Step-by-step explanation:

Let´s analyze each movement and find its perpendicular components. Then, we are going to add the components along the x and y axes to get the resultant and finally to calculate its magnitude and direction.

To determine the perpendicular components, we will use right triangles trigonometrics ratios.

Please see images for each displacement in attached file.

Displacement A: 2.50 km and 45° north of west

Ax= AcosФ = 2.50cos45° = 1.77 km (neg. direction)

Ay= AsenФ = 2.50sen45° = 1.77 km (pos. direction)

Displacement B: 4.70 km and 60° south of east

Bx= BcosФ = 4.70cos60° = 2,35 km (pos. direction)

By= BsenФ = 4.70sen60° = 4,07 km (neg. direction)

Displacement C: 1.30 km and 25° south of west

Cx= CcosФ = 1.30cos25° = 1,18 km (neg. direction)

Cy= CsenФ = 1.30sen25° = 0.55 km (neg. direction)

Displacement D: 5.10 km due east (0°)

Dx= DcosФ = 5.10 km (pos. direction)

Dy= DsenФ = 0 km

Displacement E: 1.70 km and 5° east of north

Ex= EsenФ = 1.70sen5° = 0,15 km (pos. direction)

Ey= EcosФ = 1.70cos5° = 1.69 km (pos. direction)

Displacement F: 7.20 km and 55° south of west

Fx= FcosФ = 7.20cos55° = 4.13 km (neg. direction)

Fy= FsenФ = 7.20sen55° = 5.90 km (neg. direction)

Displacement G: 2.80 km and 10° north of east

Gx= GcosФ = 2.80cos10° = 2.76 km (pos. direction)

Gy= GsenФ = 2.80sen10° = 0.49 km (pos. direction)

Now, we add the components along the x- and y- axis to find the components of the resultant (R):

Rx = Ax + Bx + Cx + Dx + Ex + Fx + Gx

Ry = Ay + By + Cy + Dy + Ey + Fy + Gy

Therefore,

Rx= (-1.77)+(2.35)+(-1.18)+(5.10)+(0.15)+(-4.13)+(2.76)

Ry= (1.77)+(-4.07)+(-0.55)+(0)+(1.69)+(-5.90)+(0.49)

Note: minus (-) symbol to negative directions

Rx = 3.28 km

Ry = - 6.57 km

Let´s use the Theorem of Pythagoras to find the magnitud ot the resultant:

$R = \sqrt{Rx^{2} +Ry^{2} }$

$R =\sqrt{(3.28)^{2}+(-6.57)^{2} }$

R = 7,34 km

To find the direction of the resultant:

tanФ = $\frac{Ry}{Rx}$

tanФ = $\frac{6.57}{3.28}$

tanФ = 2.00

Ф = tan-1 (2.00)

Ф = 63,43° north of east

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3 0

3 years ago

What is a common denominator for 2/8 and 3/4 in simplest form?

yKpoI14uk [10]

One least common denominator can be 2

4 0

2 years ago

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1. What is the unit price of shampoo if a 15-ounce bottle costs $2.79?

Rama09 [41]

Answer:

$2.79 per bottle
$0.186 per ounce

Step-by-step explanation:

When you talk about "unit price," you need to define the unit of interest. Unit prices on grocery store shelves don't always use the same unit, even for like items. Here it might be convenient to use any of the following as the "unit":

1 bottle
1 ounce
1 pint (16 ounces)
1 cup (8 ounces)

The "unit price" is computed as ...

unit price = (price for some number of units)/(the number of units)

The "number of units" may be larger, smaller, or equal to 1.

Then the price per cup (8 ounces) would be ...

unit price = (price for 15 oz)/(15/8 cups) = ($2.79)(8/15)

= $1.488 per cup

__

The price per ounce would be ...

unit price = ($2.79)/(15 oz) = $0.186/oz

__

We assume that the unit of interest is probably 1 ounce, but it could be something else. Your grader may expect the value to be rounded to the nearest cent, $0.19 per ounce.

8 0

3 years ago

Why would it be advantageous to borrow oneself into the sun if you live in an internal zone

Kipish [7]

Answer:

So you would not be carried away by the tides

Step-by-step explanation:

hope this is what u want

3 0

2 years ago

What’s 9 - 70 - 90+167