[tex]\frac{4}{\sqrt{5}-1 } -\frac{4}{\sqrt{5}+1\\ }[/tex]

To find the time Jack takes to cross Swan Lake, his average speed is required:

The time it will take Jack to cross Swam Lake is 0.5 hours

Reason:

Time it took Jack to paddle 6.4 km upstream, t = 2 hours

Distance Jack paddled, d = 6.4 km

The given speed of the Black River, v₂ = 1.8 km/h

The width of the lake, w = 2.5 km

The time it will take Jack to cross Swan Lake

Let v₁, represents Jack's speed, we have;

[tex]v_1 - v_2 = \dfrac{d}{t}[/tex]

Therefore;

[tex]v_1 - 1.8 = \dfrac{6.4}{2} = 3.2[/tex]

v₁ = 3.2 + 1.8 = 5

[tex]Time \ to \ cross \ the \ lake , \ t_S = \dfrac{w}{v_1}[/tex]

[tex]t_S = \dfrac{2.5 \, km}{5 \, km/h} = 0.5 \, hr.[/tex]

The time it will take Jack to cross Swan Lake, [tex]t_S[/tex] = 0.5 hours

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Answer:

-32

Step-by-step explanation:

To find w(-7) we have to substitute x with -7

w(x)=4x-4

w(x = -7) = 4(-7) -4

w(-7) = -28-4

w(-7) = -32

Similar shapes may or may not be congruent

The length of DE is 42 units

The given parameters are:

[tex]\mathbf{AC = 84}[/tex]

[tex]\mathbf{BA = 2BD}[/tex] --- Because DE is at the midpoint

The equivalent ratio is then represented as:

[tex]\mathbf{BD : DE = BA : AC}[/tex]

Substitute [tex]\mathbf{BA = 2BD}[/tex]

[tex]\mathbf{BD : DE = 2BD : AC}[/tex]

Express as fraction

[tex]\mathbf{\frac{DE}{BD }= \frac{AC}{2BD }}[/tex]

Make DE the subject

[tex]\mathbf{DE= \frac{AC}{2BD } \times BD}[/tex]

[tex]\mathbf{DE= \frac{AC}{2 }}[/tex]

Substitute 84 for AC

[tex]\mathbf{DE= \frac{84}{2 }}[/tex]

[tex]\mathbf{DE= 42}[/tex]

Hence, the length of DE is 42 units

Read more about similar shapes at:

https://brainly.com/question/20536565

Answer:

you have to do it look up how to chart coordinates

Step-by-step explanation:

Answer:

ok brain less and point alr bet I will do this feal quick

Step-by-step explanation:

ok so the anser r very ez

first multiply and do tibi top in botton out dived the factor and thete for u will get *** and ****** **** *** for the first anser

Answer:

From 25 to 47 is an increase of 88%.

Step-by-step explanation:

From 25 to 47 is an increase (jump) of 22.  Write the ratio 22/25 and then multiply the result by 100%:

(22/25)*100% = 0.88(100%) = 88%

From 25 to 47 is an increase of 88%.

Answer:

148 deger ❤❤❤❤❤❤❤❤❤❤

32 meter

Answer:

49/4 inches

Step-by-step explanation:

Inches below ground=  3 1/2 inches

Plant's full  height=15 3/4 inches

Height above ground = 15 3/4 inches -3 1/2 inches

63/4 - 7/2

63-14/4

49/4 inches

Answer:

a.(-2,-1)

b.(-3,0) and (-1,0)

Step-by-step explanation:

the roots are 2

Answer:

C.

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Say we had 2 fractions:

2/4 & 3/6

and we were trying to find out if they were proportional.

An easy way to do this is to divide the numerator of the second fraction by the numerator of the first fraction, then multiply what you get by the denominator of the first fraction. If your final number equals the denominator of the second fraction, then the two fractions are proportional.

Let me demonstrate:

2/4 and 3/6

1. 3 ÷ 2 = 1.5

2. 1.5 × 4 = 6

3. 6 = 6

Therefore, these fractions are proportional.

Let's try another problem:

4/5 and 10/19

1. 10 ÷ 4 = 2.5

2. 2.5 × 5 = 12.5

3. 12.5 ≠ 19

Therefore, these fractions are not proportional.

Hope this helps!

Answer:

Step-by-step explanation:

Given function

a) Complete the table. Find the values of f(x) or y:

b) Plot the points:

c. The domain the the set of x- values. Since we connect the points, the domain covers the interval between the endpoints:

Domain: {x | -1 ≤ x ≤ 1}

a) The domain is the set of x- values (first number in ordered pairs):

The range is the set of y- values (second in pairs):

b) Graph by plotting the points:

c) The graph is NOT linear as you don't get a straight line if you connect the points

Answer:

Step-by-step explanation:

Applying the theorem of congruent triangles, since FG = 6 units and FG and KL are congruent, therefore:

KL = 6 units

Recall:

Given that:

[tex]\triangle EFG \cong \triangle JKL[/tex],

EF = JK

FG = KL, and

EG = JL

Thus, since FG = 6 units and FG and KL are congruent, therefore:

KL = 6 units

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Answer:

To solve this, make d the subject from the eqn.

[tex]b = - \frac{1}{c} da[/tex]

[tex]d = - \frac{cb}{a} [/tex]

Answer:

m∠1 = 63

m∠2 = 49

m∠3 = 87

m∠4 = 44

Step-by-step explanation:

Angle 2 and 49 are similar

Angle 2 = 49

Angle 1 + 49 + 68 = 180

180 - 49 - 68 = Angle 1

180 - 49 - 68 = 63

Angle 1 = 63

Angle 3 + 93 = 180

180 - 93 = Angle 3

180 - 93 = 87

Angle 3 = 87

Angle 4 + 49 + 87 = 180

180 - 49 - 87 = Angle 4

180 - 49 - 87 = 44

Angle 4 = 44

Step-by-step explanation:

A straight angle measures 180°.

m∠3 = 180 - 93

m∠3 = 87

The sum of the three angles of any triangle is equal to 180°.

m∠4 = 180 - (49 + 87)

m∠4 = 180 - 136 = 44

The vertically opposite angle.

so m∠2 = 49

The sum of the three angles of any triangle is equal to 180°.

m∠1 = 180 - (68 + 49)

m∠1 = 180 - 117 = 63

please give me a brainliest answer

Answer:

X = 80°

Step-by-step explanation:

The total number of degrees in a triangle is 180°.

70° + 30° = 100°

180° - 100° = 80°

Answer:

B) Danni walked farther than Wendi.

Step-by-step explanation:

a mile is 5,280 feet. 5,280 + 5280 = 10,560

Answer:

see explanation

Step-by-step explanation:

xyz + 1 ← has 2 terms

xyz is one term and the other is the constant term + 1

Answer:

Yes.

Step-by-step explanation:

Set the equations equal to each other to determine their equality.

-4[3(x - 7)] = 6(14 - 2x)

Distribute the 3 and the 6 into their respective parenthesis.

-4[3x - 21] = 84 - 12x

Distribute the -4 into the brackets.

-12x + 84

Rearrange the equations.

84 - 12x = 84 - 12x

Since the equations come out to be the same thing on both sides so that any value satisfies it, the equations are equivalent.

Answer:

Flour: 18.76 Tablespoons

56.28 Teaspoons

1.17 U.S. Cups

Baking Powder: 0.35 Tablespoons

1.04 Teaspoons

0.02 U.S. Cups  

Sugar: 0.80 Tablespoons

2.40 Teaspoons

0.05 U.S. Cups

Butter: 2.82 Tablespoons

8.46 Teaspoons

0.18 U.S. Cups

Maple Syrup:

0.127 Cups

2.029 Tablespoons

6.087 Teaspoons

Milk:

0.169 Cups

2.705 Tablespoons

8.115 Teaspoons

Hope this helps!!

Have A Blessed Day <333

Answer:

Step-by-step explanation:

[tex] \large\underline{\sf{Solution-}}[/tex]

Given that,

[tex]\rm \longmapsto\: {(x + iy)}^{3} = y + iv[/tex]

[tex]\rm \longmapsto\: {x}^{3} + 3 {x}^{2}(iy) + 3x {(iy)}^{2} + {(iy)}^{3} = y + iv[/tex]

[tex]\rm \longmapsto\: {x}^{3} + 3 {x}^{2}yi + 3x {i}^{2} {y}^{2} + {i}^{3} {y}^{3} = y + iv[/tex]

We know,

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {i}^{2} = - 1 \: \: \: and \: \: \: {i}^{3} = - i }}} \\ [/tex]

So, using this, we get

[tex]\rm :\longmapsto\: {x}^{3} + 3 {x}^{2}yi - 3x{y}^{2} - i{y}^{3} = y + iv[/tex]

[tex]\rm \longmapsto\: ({x}^{3} - 3x {y}^{2}) + i(3{x}^{2}y- {y}^{3})= y + iv[/tex]

On comparing real and Imaginary parts, we get

[tex]\rm \longmapsto\:y = {x}^{3} - 3 {xy}^{2} [/tex]

and

[tex]\rm \longmapsto\:v = {3x}^{2}y - {y}^{3} [/tex]

Now, Consider

[tex]\rm \longmapsto\:\dfrac{y}{x} + \dfrac{v}{y} [/tex]

[tex]\rm \:  =  \: \dfrac{ {x}^{3} - {3xy}^{2}}{x} + \dfrac{ {3yx}^{2} - {y}^{3} }{y} [/tex]

[tex]\rm \:  =  \: \dfrac{ x({x}^{2} - {3y}^{2})}{x} + \dfrac{y({3x}^{2} - {y}^{2})}{y} [/tex]

[tex]\rm \:  =  \: {x}^{2} - {3y}^{2} + {3x}^{2} - {y}^{2} [/tex]

[tex]\rm \:  =  \: 4{x}^{2} - {4y}^{2}[/tex]

[tex]\rm \:  =  \: 4({x}^{2} - {y}^{2})[/tex]

Hence, Proved

Step-by-step explanation:

Search for questions & chapters

Class 11

>>Maths

>>Trigonometric Functions

>>Trigonometric Equations

>>Solve for x: sin x + sin 2x...

Question

Bookmark

Solve for x:sinx+sin2x+sin3x=cosx+cos2x+cos3x in the interval 0≤x≤2π.

Medium

Solution

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We write the given equation as

(sinx+sin3x)+sin2x=(cosx+cos3x)+cos2x

or 2sin2xcosx+sin2x=2cos2xcosx+cos2x

or sin2x(2cosx+1)=cos2x(2cosx+1)

or (sin2x−cos2x)(2cosx+1)=0

∴sin2x−cos2x=0 or 2cosx+1=0

If sin2x−cos2x=0, then tan2x=1,

Hence 2x=nπ+π/4

or x=(4n+1)

8

π

.(1)

If 2cosx+1=0, then cosx=−1/2 (2)

∴x=2nπ±

3

2π

or x=

3

6n±2

π

We seek values of x in the interval 0≤x≤2π

In this interval (1) gives

x=π/8,5π/8,9π/8,13π/8. (n=0,1,2,3)

and (2) gives x=2π/3,4π/3. (for n=0,1)

Thus we get the answer

x=π/8,5π/8,2π/3,9π/8,4π/3,13π/8.

Answer:

z=9.6

Step-by-step explanation:

Because you know 17 is one of the values in the model, you do:

65-17=48

Then, because you have 5 z values, you do:

48/5=9.6

z=9.6

Answer:

The difference of seven and two tenths and a number is more than twenty nine.

7.2 -n >29

Choice A

Step-by-step explanation:

[tex]x=16\\m<P=73\\m<Q=67\\m<R=40[/tex]

Answer:

x=42,

Step-by-step explanation:

sorry i don't know the rest but hope this helps u don't need to mark me brianlest i just wanted to help

Answer:

Step-by-step explanation:

If binomial (3x+2) is  a factor of some polynomial, then number  is this polynomial's root. Check all polynomials:

6x^3+3x^2+4x+2

Answer:

B. [tex]12x^2+15x+8x+10[/tex]

Step-by-step explanation: I did this assignment on edge.

Answer:

Answer: 20

Step-by-step explanation:

2^2-4=0.25

5/0.25=20

Answer:

there are 400 meters in a track

400 times 12 = 4800

4800 divided by 1600 =3

Joyce ran 3 miles

Step-by-step explanation:

Answer:

mab-2

mbc1/2

mcd-3/4

mad-3/4

Step-by-step explanation:

Answer:

d=4.5t

Step-by-step explanation:

in two hours, Francine went 9 miles

9/2=4.5

the distance equals 4.5 times each cycling time.

d=4.5t