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stepladder [879]

3 years ago

6

Mike was faxing north. Then he turned 270 degree in a clockwise direction. What direction was Mike facing after completing the t

urn?

1 answer:

lisabon 2012 [21]3 years ago

3 0

Answer:

West

Step-by-step explanation:

Clock wise goes to the right, and There's 4 directions 90° Apart. So we basically cycle through the directions by 3

North -> east -> South -> West

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What is the product of 5−2i and 3−4i?<br> Enter your answer, in standard form, in the box

Lelechka [254]

Answer:

$\boxed{7-26i}$

Step-by-step explanation:

The binomials are multiplied in the usual way, using FOIL or the distributive property:

(5 -2i)(3 -4i) = 15 -20i -6i +8i²

Since i² = -1, this becomes ...

= 15 -20i -6i -8 = 7 -26i

7 0

3 years ago

What is the area of a triangle whose vertices are D(3,3) , E(3,−1) , and F(−2,−5)?<br> ?= Unit ^2

Thepotemich [5.8K]

Length of DE = 3-(-1) = 4

SIDE DE is a vertical line

horizontal distance between E and F is 3 - (-2) = 5

So the area of triangle DEF = 0.5 * 4 * 5 = 10 sq units

5 0

3 years ago

Read 2 more answers

Miguel compró 253 Kilos de pescado para venderlo en su negocio, si decide vender cada kilo de pescado en Bs 1.900.000. Entonces,

Sveta_85 [38]

Answer:

Miguel recaudó Bs 480.700.000 por la venta del pescado.

Step-by-step explanation:

Con la información proporcionada puedes calcular el dinero que recaudó en total por la venta del pescado multiplicando el precio de venta de cada kilo de pescado por el número de kilos que Miguel compró:

Número de kilos comprados=253

Precio de venta por kilo=1.900.000

Total vendido=253*1.900.000

Total vendido=480.700.000

De acuerdo a esto, la respuesta es que Miguel recaudó Bs 480.700.000 por la venta del pescado.

7 0

3 years ago

Use the disk method or the shell method to find the volumes of the solids generated by revolving the region bounded by the graph

diamong [38]

Answer:

a) 8π

b) 8/3 π

c) 32/5 π

d) 176/15 π

Step-by-step explanation:

Given lines : y = √x, y = 2, x = 0.

<u>a) The x-axis </u>

using the shell method

y = √x = , x = y^2

h = y^2 , p = y

vol = ( 2π ) $\int\limits^2_0 {ph} \, dy$

= $( 2\pi ) \int\limits^2_0 {y.y^2} \, dy$

∴ Vol = 8π

<u>b) The line y = 2 ( using the shell method )</u>

p = 2 - y

h = y^2

vol = ( 2π ) $\int\limits^2_0 {ph} \, dy$

= $( 2\pi ) \int\limits^2_0 {(2-y).y^2} \, dy$

= ( 2π ) * [ 2/3 * y^3 - y^4 / 4 ] ²₀

∴ Vol = 8/3 π

<u>c) The y-axis ( using shell method )</u>

h = 2-y = h = 2 - √x

p = x

vol = $(2\pi ) \int\limits^4_0 {ph} \, dx$

= $(2\pi ) \int\limits^4_0 {x(2-\sqrt{x} ) } \, dx$

= ( 2π ) [x^2 - 2/5*x^5/2 ]⁴₀

vol = ( 2π ) ( 16/5 ) = 32/5 π

<u>d) The line x = -1 (using shell method )</u>

p = 1 + x

h = 2√x

vol = $(2\pi ) \int\limits^4_0 {ph} \, dx$

Hence vol = 176/15 π

attached below is the graphical representation of P and h

3 0

3 years ago

A car rental agency charges $33 per day to rent a car and $11.95 per day for a global positioning system (GPS). Customers are

harkovskaia [24]

(a) b = (33+11.95)d + 55.5

(b) The bill for a 5 day rental is $280.25

Step-by-step explanation:

Given,

Rent of car per day = $33

Rent of GPS per day = $11.95

Cost of gas = $3.70 per gallon

Cost of 15 gallons = 3.70*15 = $55.5 per tank

a) Write a function rule for the total bill b as a function of the days d the car is rented.

Let,

d be the number of days.

Total bill = (Rent of car per day + Rent of GPS per day )* Number of days + Cost of tank

b = (33+11.95)d + 55.5

b) What is the bill for a 5 day rental?

Putting d=5 in above function

$b = (33+11.95)*5+55.5\\b=(44.95)*5+55.5\\b=224.75+55.5\\b=280.25$

The bill for a 5 day rental is $280.25

Keywords: function, addition

Learn more about addition at:

#LearnwithBrainly

5 0

3 years ago