In triangle DEF, segment DJ is a perpendicular bisector of side EF. If EJ is 3y-8 and JF is 7y-40, what is the length of JF?

Answer:

A. 61.82°;

15.64°

B. 33.37°

Step-by-step explanation:

A.

✍️Angle of elevation from 15 ft:

A right triangle is formed. Apply trigonometric ratios formula to find the angle of elevation from 15 ft.

Thus,

Length of the side Opposite to reference angle = 22 + 6 = 28 ft

Adjacent length = 15 ft

Thus, we would have:

[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{15} [/tex]

[tex] tan(\theta) = 1.8667 [/tex]

[tex] \theta = tan^{-1}(1.8667) [/tex]

[tex] \theta = 61.82 [/tex] (2 d.p)

✍️Angle of elevation from 100 ft:

Thus,

Length of the side Opposite to reference angle = 22 + 6 = 28 ft

Adjacent length = 100 ft

Thus, we would have:

[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{100} [/tex]

[tex] tan(\theta) = 0.28 [/tex]

[tex] \theta = tan^{-1}(0.28) [/tex]

[tex] \theta = 15.64 [/tex] (2 d.p)

B.

✍️Distance you'd be from the screen if you lie on the ground and make an angle of elevation of 40° to the top of the screen:

Adjacent length = your distance from the screen = x

Opposite length = 22 + 6 = 28 ft

Angle of elevation = 40°

Tge trigonometric ratios formula to use would be:

[tex] tan(\theta) = \frac{opp}{adjacent} [/tex]

Plug in the values

[tex] tan(40) = \frac{28}{x} [/tex]

Multiply both sides by x

[tex] x*tan(40) = 28 [/tex]

Divide both sides by tan(40)

[tex] x = \frac{28}{tan(40)} [/tex]

[tex] x = 33.37 [/tex] (2 d.p)

Answer:

Step-by-step explanation:

AA

Answer:

I don't like Football...

Step-by-step explanation:

Answer: My fav is the New York Giants

Step-by-step explanation:

Answer: 95.033

Step-by-step explanation:

Answer:

658.8 so 659

Step-by-step explanation:

Answer:

A. 4 7/24

Step-by-step explanation:

subtract 15 - 11 which equals 4

then do 5/15 - 1/8 =7/24

Answer:

y=1/2x - 7

Step-by-step explanation:

Since the lines are parallel, this means that the slopes will be the same, only the y-intercept will change. I graphed this out to find the answer.  

Answer:

$0.76 per serving of pumpkin pie

Step-by-step explanation:

the total cost of the ingredients needed to prepare a pumpkin pie = $1.50 + ($2.59 / 6) + ($5.99 / 6) + $1.25 + ($3.79 / 2) = $6.075

if we cut 8 servings per pie, then the cost per serving = total cost of the pie / number of servings = $6.075 / 8 = $0.759375 ≈ $0.76 per serving of pumpkin pie

We want to find the cost of each slice of a pie given that we know the price of the ingredients that we use to make the whole pie. We will see that the cost of a single slice is $0.75.

First, we must get the cost of the whole pie. We have:

The total cost is then:

C = $1.50 + $0.43 + $0.89 + $1.25 + $1.90 = $5.97

Now we know the total cost of the pie, and it has 8 slices, then each slice costs: $5.97/8 = $0.75

If you want to learn more, you can read: https://brainly.com/question/20005135

Answer:

23

Step-by-step explanation:

Basically I did it backwards & opposites:

-28 divided by -7 = 4

4 + 19 = 23

I checked btw and it worked.

Answer:

The surrounding air

Step-by-step explanation:

Answer:

the surrounding air

Step-by-step explanation:

Answer:

x=12

Step-by-step explanation:

Answer:

y=-6/5x-3

Step-by-step explanation:

y-3=-6/5(x+5)

y=-6/5x-3

Answer:

Step-by-step explanation:

Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.

A: 196.20

B: 208.20

C: 1286.20

D: 1298.20

Step-by-step explanation:

37x+26=42x+6

x=4

If am wrong sorry

Answer:

x = 4

Step-by-step explanation:

1. Subtract 26 on both equation. (37+26−26=42+6−26)

2. Simplify and Subtract the numbers and repeat. (37=42−20)

3. Subtract 42x on both equation. (37−42=42−20−42)

4. Put together (simplify). (−5=−20)

5. Now divided with -5x. ( −5/−5=−20/−5)

6. Get your answer! (=x4)

~~~Hope this helps~~~

Answer: 40 ?

Step-by-step explanation:

Step-by-step explanation:

Make a point P that will be the vertex of the new angle.

From P, draw a ray PQ. ...

Place the compasses on point A, set to any convenient width.

Draw an arc across both sides of the angle, creating the points J and K as shown.

Hope this helps :)

Answer:

8 correct.

Step-by-step explanation:

80 / 100 = x / 40    (Since he got 80% INCORRECT you will subtract the value of x from 40)

100x = 80 x 40

x = 3200 / 100

x = 32

40 - 32 = 8

Answer:

Y is equals to negative 1.

Step-by-step explanation:

y = 2x + 3

y =2(-2)+ 3

y =-4+ 3

y=-1

Answer:

y=1

Step-by-step explanation:

there is no slope therefore dont place it. however there is a Y intercept.

Answer:

the answer is -8

Step-by-step explanation:

this is because when you subtract four from negative four you add the negative four and it becomes 8 but since it'snegative it would be -8

Answer:

i got 8

Step-by-step explanation:

ur questions range on so many level, ngl

Answer:

it is 9

Step-by-step explanation:

The value of WZ will be equal to WZ= 9 inches so the correct option is B.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

We have: U is the midpoint of TR, V is the midpoint of TS and W is the midpoint of SR

This means that.Z is the centroid of the given triangle centroid point divides any median in the triangle in the ratio of 2:1 from the vertex

This means that:

TZ = 2ZW

3x = 2(2x-3)

3x = 4x - 6

x = 6

Now, we get WZ as follows:

WZ = 2x - 3 and x = 6

WZ = 2(6) - 3

WZ = 12 - 3

WZ = 9 in

Therefore the value of WZ will be equal to WZ= 9 inches so the correct option is B.

The complete image of the triangle is attached with the answer below.

To know more about Trigonometry follow

https://brainly.com/question/24349828

#SPJ5

Answer:

answer for y=2/3x+2: y=2/3x+2

answer for -2x+3y=6: x=3/2y-3

pls give brainliest

Answer:

There are infinitely many solutions.

Step-by-step explanation:

There are infinitely many solutions because if you solve the equations, you will find that both of the equations are actually the same, so there is infinitely many solutions.

Showing that both equations are equal:  y=2/3x+2       -2x+3y=6

y=2/3x+2  Multiply by 3 on both sides

3y=2x+6 Rearrange (-2x on both sides)

3y-2x=6 More rearrangement

-2x+3y=6 Now, if you look back at the second equation, you will see that they are both the same.

Answer:

a statement of the exact meaning of a word, especially in a dictionary

Websites similar to Brainly: Quizlet and Socratic

Can I pls have brainliest :(

Answer:

Step-by-step explanation:

Answer: 35.4 feet.

Step-by-step explanation:

Given data:

Height of the roof = 24 feet

Height of the ladder = 26 foot

Solution:

c^2 = a^2 + b^2

a = 24

b = 26

c^2 = 24^2 + 26^2

c = √576 + 676

c = √1252

c = 35.4 feet

The foot of the ladder is 35.4 foot away from the top of the ladder.

Answer:

The distance between the base of the ladder and the building is 10 ft

Step-by-step explanation:

Here, we want to calculate the distance between the foot of the ladder and the building

To get this, we need to have a pictorial representation. Please check the attachment for this

From the pictorial representation, we can see a right angled triangle with a hypotenuse of 26 feet and the other side being 24 feet. We now need to get the third side of this triangle which represents the distance we want.

Mathematically, we can calculate the distance using Pythagoras’ theorem which states that the square of the length of the hypotenuse is equal the sum of the squares of the two other sides of the triangle.

Let the distance we are looking for be D

26^2 = 24^2 + D^2

D^2 = 26^2 - 24^2

D^2 = 100

D^2 = 10^2

D = 10 feet

Answer:

The total mass is 4 * 10^12 grams

Step-by-step explanation:

To get the total mass of all ants,

We simply multiply the average mass of an ant by the population

That will be;

4 * 10^-3 * 10^15

= 4 * 10^12 grams

Answer:

2 cuts; yes, 14 in

Step-by-step explanation:

Look at it correctly and solve on paper