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3 years ago

F is the midpoint of EG If EF = x + 2 and FG = 2x - 6, find FG

Mathematics

1 answer:

mezya [45]3 years ago

8 0

Answer:

FG = 10

Step-by-step explanation:

EF = x + 2 ; FG = 2x - 6

F is the mid-point of EG. So, EF = FG

$= > x + 2 = 2x - 6$

$= > 2x - x = 6 + 2$

$= > x = 8$

FG = 2×8 - 6 = 10

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Help math homework both questions

-Dominant- [34]

Answer:

Q-12 The vertical length of the top part of elevator to ground is 0.8484 meters .

Q -14 The glide runway path is 24,752.47 feet .

Step-by-step explanation:

Q - 12

Given as :

The diagonal length of the elevator = e = 1.2 meters

The vertical length of the top part of elevator to ground = x meters

The angle made by elevator with ground = Ф = 45°

<u>Now, According to figure</u>

Sin angle = $\dfrac{\textrm perpendicular}{\textrm hypotenuse}$

Or, Sin Ф = $\dfrac{\textrm x}{\textrm e}$

Or, Sin 45° = $\dfrac{\textrm x meters}{\textrm 1.2 meters}$

Or, 0.707 × 1.2 meters = x

∴ x = 0.8484 meters

So, The vertical length of the top part of elevator to ground = x = 0.8484 meters

Hence,The vertical length of the top part of elevator to ground is 0.8484 meters . Answer

Q-14

Given as:

The altitude of decent of plane = H = 10,000 feet

The angle of descend = Ф = 22°

Let the glide runway path = y feet

<u>Now, According to question</u>

Tan angle = $\dfrac{\textrm perpendicular}{\textrm base}$

Or, Tan Ф = $\dfrac{\textrm H}{\textrm y}$

Or, Tan 22° = $\dfrac{\textrm 10,000 feet}{\textrm y feet}$

Or, 0.4040 = $\dfrac{\textrm 10,000 feet}{\textrm y feet}$

Or, y = $\dfrac{\textrm 10,000 feet}{\textrm 0.4040}$

∴ y = 24,752.47

So,The glide runway path = y = 24,752.47 feet

Hence, The glide runway path is 24,752.47 feet . Answer

6 0

3 years ago

6/13 by 6/12? what is the answer

Leto [7]

(6/13)/(6/12)= (6/13)*(12/6)= 12/13
This rule for division applies to all fraction divisions

4 0

3 years ago

Read 2 more answers

I need help with this one pls!

Alex73 [517]

Hi there!

$\large\boxed{b = \frac{a}{ac - 1}}$

We can begin by making each fraction have a common denominator:

If we make each have a common denominator of ab, we get:

$\frac{b}{ab} + \frac{a}{ab} = c$

Simplify:

$\frac{a + b}{ab} = c$

Multiply both sides by ab:

$a + b = cab$

Move b to the opposite side:

$a = cab - b$

Factor out b:

$a = b(ac - 1)$

Divide by (ac - 1):

$\frac{a}{ac - 1} = b$

4 0

3 years ago

Help me find Angle B

DENIUS [597]

Answer:

55 degrees

Step-by-step explanation:

180-95-30=55

6 0

3 years ago

The kinetic energy (in joules ) of a moving object can be calculated from the expression 1/2mv to the second power, where m is t

yulyashka [42]

E = 1/2 m v^2

E = 1/2 (0.145) (40)^2

E = 0.0725 x 1600

E = 116 kg m^2/s^2

1 joule = 1 kg m^2/s^2

so here E in joules is 116 joules

so E = 116 joules

7 0

3 years ago