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Answer:

2.0 km

Step-by-step explanation:

From the diagram attached,

cosθ = adjacent/Hypotenus

cos4° = x/2

make x the subject of the equation

x = 2cos4°

x = 2(0.998)

x = 1.995

x = 2.0 km. (to the nearest tenth)

Hence the horizontal distance is 2.0 km

Answer:

f=43

Step-by-step explanation:

Hey There!

So if you didn't know the exterior angle (aka f) is equal to the sum of the opposite interior angles

so essentially what i am saying is that

19+24=f

19+24=43

therefore

f=43

hope this helps :)

if you have anymore questions just let me know

Answer:

Step-by-step explanation:

Before the increase it was 100%

So 20+100=120

156/120*100=130$

Don’t do it like 20/100 *156 and then minus it from 156 because you will get a wrong answer

(This was answered by another person on a another question.)

Answer:

130

Step-by-step explanation:

x * 1.2 = 156

x = 156/1.2

x = 130

Answer:

im sorry dont know anwser wish i could help

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Total surface area of a cone T1 = πr(r+l)

If the radius and the slant height of this right circular cone are each multiplied by 4, the new surface area will be expressed as;

T1 = π4r(4r+4l)

T2 = 16πr(r+l)

Taking the ratio of both total area

T1/T2 = πr(r+l)/16πr(r+l)

T1/T2 = 1/16

16T1 = T2

T2 = 16 T1

Hence the total surface area is multiplied by a factor of 16

Answer:

16

Step-by-step explanation:

got it right

Answer:

It would take Beth twelve minutes to wash the car herself

Step-by-step explanation:

If they do it together in 6 minutes.

& Katy can do it in 18 minutes alone

Then 18 - x = 6

replace x for twelve

18 - twelve = 6

Ans: twelve

Answer:

C

Step-by-step explanation:

x + 6 not hard

Answer:

Is C friend

Step-by-step explanation:

The expression that represents 6 more than x is x + 6. You can also rewrite this as 6 + x, but there is no need.

Answer:

it is going to be B. 10 m/s

The speed of the car on the highway will be 30 m/s

The rate at which velocity changes with time, in terms of both speed and direction.

Given that, a car is driving 18 meters per second. It then merges on to a highway and accelerates at a rate of 6 meters per second for 2.0 seconds.

Using first equation of motion,

v = u + at where, v is final velocity, u is initial velocity, a is acceleration and t is time,

v = 18 + 6*2

v = 18 + 12

v = 30

Hence, speed of the car on the highway will be 30 m/s

For more references on acceleration, click;

https://brainly.com/question/12550364

#SPJ6

Answer:

x = 10

Step-by-step explanation:

Angles are congruent because they are vertical angles:

5x + 6 = x + 46

5x - x = 46 - 6

4x = 40

x = 10

Answer:

x ≈ 10.9

Step-by-step explanation:

Using the sine ratio in the right triangle

sin40° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7}{x}[/tex] ( multiply both sides by x )

x × sin40° = 7 ( divide both sides by sin40° )

x = [tex]\frac{7}{sin40}[/tex] ≈ 10.9 ( to the nearest tenth )

Answer:

34mph

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

Answer:

55

Step-by-step explanation:

Answer:

Step-by-step explanation:

Angle formed by two intersecting chords is half the sum of the intercepted arcs:

Answer:

This is really hard, but what you marked is CORRECT, it is the second option :D

Mark brainliest please ;P

Answer: this will help

Step-by-step explanation: AB = DE

BC = EF

CA = FD

Angle A = Angle D

Angle B = Angle E

Angle C = Angle F

Answer:

Angle k is 34.5 degrees

Step-by-step explanation:

a circle makes 360 degrees total.  okay so u have to consider the angles given. m arc go= 127

m<0 = 54.5

54.5 times 2 = 109

109 is arc gk

109 + 127+ 55= 291

360-291=69= arc OU

69 divided by 2 is 34.5

Angle k is 34.5 degrees

Answer:

Least : Orange, red, yellow, purple, green : Greatest

O = 7.2

R= 7.5

Y= 7.875

P= 8.25

G= 8.33

Step-by-step explanation:

either convert them all to fractions, or convert them all to decimals

IM VERY SORRY if its wrong tho :(

Answer:

This shape is a hexagon. Angles in a hexagon add to 720 degrees.

2(y) + 4(2y-20) =  720

2y + 8y-80 = 720

10y-80=720

10y=800

y=80

Let me know if this helps!

Answer:

16

Step-by-step explanation:

multiply 32 by whatever a right angle give you

Answer:

2 1/5 can also be written as 11/5

The reciprocal of 11/5 is 5/11

Answer:

5/11

Step-by-step explanation:

2 1/5 into an improper fraction is 11/5.. recipricol is 5/11

Answer:

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Answer:

M=-3d+36

Thank you! I hope you have fun in math, although personally I hate it.

Given:

The sequence can be generated by

[tex]a_n=4a_{(n - 1)}[/tex]

Where [tex]a_1= 6[/tex] and [tex]n[/tex] is a whole number greater than 1.

To find:

The first four terms of the given sequence.

Solution:

We have,

[tex]a_n=4a_{(n - 1)}[/tex]          ...(i)

It is given that [tex]a_1= 6[/tex]. So, for [tex]n=2[/tex], we get

[tex]a_2=4a_{(2 - 1)}[/tex]

[tex]a_2=4a_1[/tex]

[tex]a_2=4(6)[/tex]

[tex]a_2=24[/tex]

Putting [tex]n=3[/tex] in (i), we get

[tex]a_3=4a_{(3- 1)}[/tex]

[tex]a_3=4a_2[/tex]

[tex]a_3=4(24)[/tex]

[tex]a_3=96[/tex]

Putting [tex]n=4[/tex] in (i), we get

[tex]a_4=4a_{(4- 1)}[/tex]

[tex]a_4=4a_3[/tex]

[tex]a_4=4(96)[/tex]

[tex]a_4=384[/tex]

The first four terms of the given sequence are 6, 24, 96,384.

Therefore, the correct option is C.

Answer:

No

Step-by-step explanation:

To be equivalent it would have to be 16/8 not 16/9

Answer: 1. A) 2/5 B) X= -5 Y= 2

2. A) -3/2 B) X= 2 Y= 3

3. A) -2/3 B) X= -3 Y= -2

Step-by-step explanation: A) Look where the line intersects perfectly through a corner of one of the boxes, find the next one closes to that count how many it goes up and how many across. Rise/Run so the amount it goes up goes on the top of the fraction and the amount across on the bottom of the fraction.

B) This is where the line intersects the X and Y axis

Given:

The equation of given line is

[tex]y=3x-4[/tex]

A line is perpendicular to the given line and passes through the point (9,5).

To find:

The equation of the perpendicular line.

Solution:

We have,

[tex]y=3x-4[/tex]

On comparing this equation with slope intercept form [tex]y=mx+b[/tex], we get

[tex]m=3[/tex]

It means, the slope of the given line is 3.

The product of slopes of two perpendicular lines is -1.

[tex]m\times m_1=-1[/tex]

[tex]3\times m_1=-1[/tex]

[tex]m_1=-\dfrac{1}{3}[/tex]

Point slope form of a line is

[tex]y-y_1=m(x-x_1)[/tex]

Where, m is the slope.

The slope of perpendicular line is [tex]-\dfrac{1}{3}[/tex] and it passes through the point (9,5). So the equation of the line is

[tex]y-5=-\dfrac{1}{3}(x-9)[/tex]

[tex]y-5=-\dfrac{1}{3}(x)-\dfrac{1}{3}(-9)[/tex]

[tex]y-5=-\dfrac{1}{3}x+3[/tex]

Adding 5 on both sides, we get

[tex]y-5+5=-\dfrac{1}{3}x+3+5[/tex]

[tex]y=-\dfrac{1}{3}x+8[/tex]

Therefore, the equation of required line is [tex]y=-\dfrac{1}{3}x+8[/tex].

Answer:

47 girls

Step-by-step explanation:

63÷4=15.75

15.75×3=47.25