Consider angle θ in Quadrant II, where sinθ = 4/5 . What is the value of cosθ?

Answers

Answer 1

Answer:

3/5

Step-by-step explanation:

sin theta=opposite/hypotenuse

4/5=opposite/hypotenuse

therefore opposite=4 and hypotenuse=5

for adjacent

using pythagoras theorem

a^2+b^2=c^2

opposite^2 + adjacent^2 =hypotenuse^2

4^2 + adjacent^2 =5^2

16 + adjacent^2 =25

adjacent^2 =25-16

adjacent =[tex]\sqrt{9[/tex]

adjacent=3

cos theta=adjacent/hypotenuse

=3/5

therefore the value of cos theta is 3/5


Related Questions

Un frutero ha comprado 165kg de manzanas a 2 € el kilo; se le han estropeado 15 kg y el resto los vende a 4 € el kilo. ¿ Cuánto ha ganado? ( 1,25p)

Answers

Answer:

€270

Step-by-step explanation:

If a fruit vendor has bought 165kg of apples at € 2 per kilo, the total amount spent is expressed as;

Cost price = 165 * 2 = €330

If 15kg spoilt, the amount of fruit remaining will be 165 - 15 = 150kg

If he rests he sells for € 4 per kilo, then;

Selling price = 150 * 4 = €600

Amount earned = €600 - €330

Amount earned = €270

In the rectangle below, EI = 2x+6, FI = 5x-6, and m ZIFE = 49º.
Find E G and m ZIGF.
E
F
m ZIG
H
G

Answers

Answer:

gdfhddfdhgbg

Step-by-step explanation:

solve number 2 please

Answers

Answer:

a) 6x² + 2x + 4

b) 32 cm

Step-by-step explanation:

a) In terms of x ,

Perimeter of the figure =

[tex](x+2) + (x^2) + (x^2) + (x+2) + (4x^2)[/tex]

[tex]= 6x^2+2x+4[/tex]

b) If x = 2cm ,

Perimeter of the figure [tex]= 6 \times (2)^2+2 \times (2)+4[/tex]

[tex]= 24 + 4 + 4[/tex]

[tex]= 32\;cm[/tex]

How does the graph of
g(x) = 0.5(2)*-3 – 1
compare to the graph of
the parent function
f(x) = 2*?. Write a full
description.

Answers

Answer:

Here we have:

f(x) = 2^x

g(x) = 0.5*2^(x - 3) - 1

We want to compare g(x) and f(x).

The first thing we should do here, is to define the transformations used.

Vertical translation:

For a function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N

if N > 0, the translation is upwards

if N < 0, the translation is downwards.

Horizontal translation:

For a function f(x), a horizontal translation fo N units is written as:

g(x) = f(x + N)

if N > 0, the translation is to the left

if N < 0, the translation is to the right.

Vertical dilation:

For a general function f(x), a vertical dilation of scale factor k is written as:

g(x) = k*f(x).

Ok, now let's start with f(x), and try to use transformations to construct g(x).

We start with f(x).

If we start with a vertical dilation of scale factor k = 0.5, then:

g(x) = 0.5*f(x)

if now we apply a horizontal translation of 3 units to the right, we get:

g(x) = 0.5*f(x - 3)

if now we apply a vertical translation of 1 unit down, we get:

g(x) = 0.5*f(x - 3) - 1

Replacing by the actual function we get

g(x) = 0.5*2^(x - 3) - 1

So we got g(x).

Then, the graph of g(x) is the graph of f(x) dilated vertically by a scale factor of 0.5, then moved to the right 3 units, and then moved down one unit.

Chau will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $50 and costs an additional $0.19 per mile driven. The second plan has an initial fee of $57 and costs an additional $0.15 per mile driven.

Answers

Answer:

175 Miles has to be driven to do the plans cost the same.

Step-by-step explanation:

Assume The Chau Drive Y miles .

We Have Given Two Plans ,

First Plan = 50$ + 0.19$ × Y Second Plan = 57$ + 0.15$ × Y

Now,Put First Plan=Second Plan (When Both Plans Cost The Same)

50$ + 0.19$ × Y = 57$ + 0.15$ × Y

0.04$ × Y = 7  ⇔  Y = 175 Miles

Pls help me with this

Answers

Answer:

12

Step-by-step explanation:

f(-7) = 5-(-7)=5+7=12

12 doe elks kelly kielce lemme ekkkk kennel

I NEED HELP ASAP PLEASE ILL GIVE YOU MORE POINTS HELPPP!:(

Answers

Answer:

1st one is 9

2nd one is 6

3rd one is 2

Step-by-step explanation:

what is the midpoint of the mine segment graph below

Answers

Answer:

(4, 7/2)

Step-by-step explanation:

Take the mean of the x-coordinates and the mean of the y-coordinates.

x = (-1 + 9)/2 = 8/2 = 4

y = (2 + 5)/2 = 7/2

Answer: (4, 7/2)

Help please! The area of a swimming pool is 45 square meters. The width of the pool is 3 meters. What is the length of the pool in centimeters?

Answers

Answer: 15 m

Step-by-step explanation:

Given

The area of the swimming pool is [tex]A=45\ m^2[/tex]

Width of the pool is [tex]w=3\ m[/tex]

Suppose l is the length of the pool

So, the area is given by the multiplication of length and width

[tex]\Rightarrow A=lw\\\Rightarrow 45=3l\\\Rightarrow l=15\ m[/tex]

So, the length of the pool is 15 m.

A pattern starts at 3 and follows the rule 5

What point on each number on the number line that is in the pattern

Answers

need help?

Step-by-step explanation:

just try plotting on a number line

Leslie cuánto de interés ganara Leslie sí presta 5000 durante tres años con el interés simple anual de 5%

Answers

Answer:

lokókà

haha

Step-by-step explanation:

góbôńìkásó

yea ma’am yes sir thank y’all so for today love love it love

5.
Which of the quadratic functions has the narrowest graph?

A. [tex]y=-2x^2[/tex]

B. [tex]y=\frac{1}{2} x^2[/tex]

C. [tex]y=\frac{1}{7} x^2[/tex]

D. [tex]y=-4x^2[/tex]

Answers

D: -4x^2 has the narrowest graph

Answer:

C.  y= 1/7x2

Step-by-step explanation:

The equation with the highest leading coefficient (the number before the x^2 term) will have the narrowest graph. Here, we have to choose between -1, 1/6, 2, and 1/8. The highest number out of all of those numbers is 2, so y = 2x^2 will have the narrowest graph.

i need help i don't understand #3

Answers

Answer:

I can't understand number 6 sorry :(

7. The DO side is the hypotenuese8.

8. 107.62

Step-by-step explanation:

The formula for this is:

[tex]a^2+ b^2 = c^2[/tex]

66 × 66 = 4,356

85 × 85 = 7,225

4356 + 7225 = 11,581

[tex]\sqrt{11,581}[/tex] ≈ 107.62

---------------------------------------------------------------------------------------------------------------

Have a great summer :)

4n+11−2n what is the solution for this equation.

Answers

Answer:

2n +11

Step-by-step explanation:

4n+11−2n

Combine like terms

4n -2n +11

2n +11

Answer:

2n+11

Step-by-step explanation:

Two turtles race. The speed of the first is 4 1/ 2 inches per minute and the speed of the other is 5 inches per minute How far apart the be in 3 minutes 5 minutes? 10 minutes?​

Answers

Answer:

(a) 1.5 inches

(b) 2.5 inches

(c) 5 inches

Step-by-step explanation:

speed of first turtle = 4 1/2 inches per  minute = 9/2 inches per minute

speed of the second turtle = 5inches per minute

distance = speed x time

(a) Distance traveled by first turtle in 3 minutes

s = 9/2 x 3 = 13.5 inches

distance traveled by second turtle in 3 minutes

s' = 5 x 3 = 15 inches

So, the gap is

s'- s = 15 - 13.5 = 1.5 inches

(b) Distance traveled by first turtle in 5 minutes

s = 9/2 x 5 = 22.5 inches

distance traveled by second turtle in 5 minutes

s' = 5 x 5 = 25 inches

So, the gap is

s'- s = 25 - 22.5 = 2.5 inches

(c) Distance traveled by first turtle in 10 minutes

s = 9/2 x 10 = 45 inches

distance traveled by second turtle in 10 minutes

s' = 5 x 10 = 50 inches

So, the gap is

s'- s = 50 - 45 = 5 inches

Please help Ill give brainlest

Answers

Answer: D

Step-by-step explanation:

|2(7)| - (-4) over 3
your answer is 6

Check 2. The circumference of a circle is C centimeters. The diameter of the circle is 6 centimeters. Write an expression that represents the value of n. ​

Answers

Answer:

radius of circle = 3cm

circumference = 18.84cm

diameter = 6cm

Step-by-step explanation:

if the diameter of circle is 6cm

radius of circle = diameter/2

                         = 6/2

                         = 3

circumference of circle = 2[tex]\pi[/tex]r

                                       = 2 x 3.14 x 3

                                       = 6.28 x 3

                                       = 18.84

Mark me as braniest
18.82 hope this helps!!

El sueldo bruto de un trabajador de la educación es de 900.000 pesos, si el descuento total que le harán corresponde al 20% de su sueldo ¿Cuánto será su sueldo líquido?

Answers

Answer:

Sueldo neto= $160.000

Step-by-step explanation:

Dada la siguiente información:

Sueldo bruto= $200.000

Descuento total= 20%

Para calcular el sueldo neto, debemos usar la siguiente formula:

Sueldo neto= sueldo bruto* (1 - porcentaje de descuento)

Sueldo neto= 200.000*( 1 - 0.2)

Sueldo neto= $160.000

Please help me with this. Ill give you a brainliest.

Answers

Answer:

7. Circumcenter is (5,8)

8. Circumcenter= (-4,-5)

9. Circumcenter= (-4,9)

10. Circumcenter= (5.5, -5.5)

Can y’all help me find the volume of this?

Answers

Answer:

1795.5 [tex]m^3[/tex]

Step-by-step explanation:

find area of base (it's a trapezoid)

[tex]\frac{b_1+b_2}{2} *h\\\\=\frac{11+16}{2} *9.5\\\\= 13.5*9.5\\\\=128.25[/tex]

multiply area of base by height

128.25 x 14

= 1795.5 [tex]m^3[/tex]

Aina builds a cube model out of manila cards. If the volume of the constructed cube is (2+3p) ³ cm³, find the total surface area of the cube in terms of p.

HELPPPP

Answers

Given:

The volume of a cube = [tex](2+3p)^3\ \text{cm}^3[/tex]

To find:

The total surface area of the cube in terms of p.

Solution:

Volume of a cube is:

[tex]V=a^3[/tex]            ...(i)

Where, a is the side length.

It is given that,

[tex]V=(2+3p)^3\ \text{cm}^3[/tex]         ...(ii)

On comparing (i) and (ii), we get

[tex]a=2+3p\text{ cm}[/tex]

Now, the total surface area of a cube is:

[tex]A=6a^2[/tex]

Where, a is the side length.

Putting [tex]a=2+3p[/tex], we get

[tex]A=6(2+3p)^2[/tex]

Therefore, the total surface area of the cube in terms of p is [tex]6(2+3p)^2\ \text{cm}^2[/tex].

Nicole paint a circle table that has a diameter of 37 in what is the area of the table​

Answers

Answer:

A≈1075.21

d Diameter

37

d

r

r

r

d

d

C

A

Using the formulas

A=

π

r

2

d=

2

r

Solving forA

A=

1

4

π

d

2

=

1

4

π

37

2

1075.21009

Step-by-step explanation:

What is the Greatest Common Factor of: 16x^6y^4+4^x4y^3−20x^5y

Answers

Answer:

36x

Step-by-step explanation:

Complete the equation describing how x and y are related.

Answers

Answer: The "?" would equal 1.

Step-by-step explanation: This is simply a line with a slope of 1 and a y-intercept of zero.

The science department orders a new telescope and pays $253.87 after tax. The tax rate is 6% . What was the original price of the telescope

Answers

The price after tax is £253.87 so to find the original price you have to deduct 6% but first you need to find 6%.

Easiest way to find 6% is by finding 10% or 2% or 1% / whatever you find easiest. For me it would be 1%

If you find 1 % you would then multiple it by 6 to give you 6%

10% is £25.38 (move the decimals 1 unit)
1% is £2.54 (move decimals 2 units)
Always round up

£2.54 X 6 = £15.24

£253.87 - £15.24 = £238.63

Answer: dont listen to the answer above

Step-by-step and you'll fall down the shdausta and tyou get deleminate dby the stairs and bu the fat cat in cthe chaet

What is the lcm of 48 and 54

Answers

Answer:

LCM IS 48 × 52 BUT U HAVE TO MULTIPLY NUMERATOR BY DENOMINATOR

Step-by-step explanation:

LCM OF 48 AND 54 = 2×3×2×3×3×2×2

=

[tex]16 \times 27[/tex]

432

There is a population of 5 bacteria in a colony. If the number of bacteria doubles every minute, which function can be used to determine what the population will be x minutes from now?

Answers

Answer:

[tex]f(x) = 5 *2^x[/tex]

Step-by-step explanation:

Given

[tex]a=5[/tex] -- initial

[tex]r = 2[/tex] --- rate (i.e. double)

Required

The function to represent the scenario

The above scenario represents an exponential function where

[tex]f(x) = ar^x[/tex]

So, the function is:

[tex]f(x) = 5 *2^x[/tex]

Find the area of the shape 11cm 14cm 9cm 20cm who ever answers correctly gets brainlist

Answers

Answer:

Step-by-step explanation:

Given :    shape 14cm 11cm 9cm 20cm

To Find : Find area

Solution:

20 - 1 1 = 9 cm

We can divide figure in 2 parts

rectangle = 14 cmx 11 cm

square = 9 cm x 9  cm

Area of rectangle = 14 * 11 = 154 cm²

Area of square = 9 * 9 = 81 cm²

Total area = 154 + 81

= 235 cm²

Learn More :

Find the area of the given figure withTU = 6 cm, SR = 8 cm, UR = 15 ...

brainly.in/question/14804329

In the figure, triangle ABC in the semi circle . Find the area if the ...

brainly.in/question/13845921

Answer:

Area = 235 square cm

Step-by-step explanation:

Given :    shape 14cm 11cm 9cm 20cm

To Find : Find area

Split the figure into rectangle and square:

Rectangle : 14 x 11

Square : 9 x 9

[tex]Area \ of \ rectangle : 14 \times 11 = 154 \ cm^2[/tex]

[tex]Area \ of \ square = 9 \times 9 = 81 \ cm^2[/tex]

[tex]Total \ area = 154 + 81 = 235 \ cm^2[/tex]

 

Find the distance between the two points in simplest radical form.
(7,-1) and (9,-9)

Answers

Answer:

[tex]\sqrt{68}[/tex]

Step-by-step explanation:

(7 , -1) = (x1 , y1)

(9 , -9) = (x2 , y2)

distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

=[tex]\sqrt{(9 - 7)^2 + (-9 - (-1))^2}[/tex]

=[tex]\sqrt{2^2 + (-9 + 1)^2}[/tex]

=[tex]\sqrt{4 + (-8)^2}[/tex]

=[tex]\sqrt{4 + 64}[/tex]

=[tex]\sqrt{68}[/tex]

Answer:

[tex]Distance = \sqrt{ 68 } \\\\or \\\\Distance =2 \sqrt{17}[/tex]

Step-by-step explanation:

[tex]Let \ (x_1 , y_1) = ( 7 , - 1 ) \ and \ (x_2, y _ 2 ) = ( 9 , - 9 )\\\\\\Distance = \sqrt{(x_2 - x_ 1)^2 + (y_ 2 - y_ 1)^2}\\\\[/tex]

               [tex]= \sqrt{(9 - 7)^2 + ( -9 --1)^2} \\\\=\sqrt{2^2 + ( -9 + 1)^2 }\\\\=\sqrt {4 + (-8)^2 }\\\\=\sqrt{ 4 + 64 }\\\\=\sqrt{68}\\\\= \sqrt { 4 \times 17}\\\\=\sqrt{2^2 \times 17}\\\\=2 \sqrt{17}[/tex]

The thickness of 12 sheets of paper is 3.16mm. Find the thickness of 1 sheet

Answers

Answer:

79/300 mm

Step-by-step explanation:

We can use Ratio and Proportion to answer this question,

We know,

12 sheets of paper = 3.16mm

So,

1 = 3.16/12 mm

So, the thickness of 1 sheet of paper is => 3.16 / 12

=> 79/300

Hope it helps :)

Answer:

Step-by-step explanation:

Thickness of  1 sheet = thickness of 12 sheets ÷ number of sheets

                                  = 3.16 ÷ 12

                                  = 0.26 mm

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