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4 years ago

PLEASE THIS IS DUE AT MIDNIGHT LOL:

Mathematics

2 answers:

Bingel [31]4 years ago

7 0

Answer:

186.55 mph

Step-by-step explanation:

Let the speed of the plane be s

The speed of the plane in the same direction is

s + 12

The speed of the plane against wind is

s - 12

Time = distance/speed

455/(s + 12) = 400/(s - 12)

Solving for s

400(s + 12) = 455(s - 12)
400s + 400*12 = 455s - 455*12
455s - 400s = (400 + 455)*12
55s = 10260
s = 10260/55
s = 186.55 mph

Free_Kalibri [48]4 years ago

4 0

if a plane flies 455 miles with wind, and takes 400 against the wind, and the wind is blowing at a speed of 12mph, then the plane can fly 2455 miles if it's still in the air

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John stands 150 meters from a water tower and sights the top at an angle of elevation of 36º. If John's eyes are 2 meters above

horsena [70]

Answer:

The height of tower $DB=111\ meters$ .

Step-by-step explanation:

Diagram of the given scenario is shown below.

Given that,

Distance between John and tower is $CE=150 \ meters$ .

Angle of elevation to the top of the tower is $\angle DEC=36$ °.

Height of John is $CB=2\ meters$ .

To Find: Height of the tower $DB$ .

So,

In triangle ΔDCE,

$Tan$ (∠ $DEC)= \frac{DC}{CE}$

$Tan (36)= \frac{DC}{150}$

$DC= tan(36)\times 150$

$DC=108.98\ meters$

Now,

To calculate the height of tower we have

$DB=DC+CB$

$DB=108.98+2$

$DB=110.98\ meters$ ≈ $111 \ meters$

Therefore,

The height of tower $DB=111\ meters$ .

6 0

3 years ago

Given the point (10, 25) and m = 2.5 , write the equation for the function m(t) point-stope form.

dalvyx [7]

Answer:

the equation for the function m(t) point-stope form will be:

$y - 25 = 2.5 (x - 10)$

Hence, option D is correct.

The graph is attached below.

Step-by-step explanation:

Given

Point (10, 25)

Slope m = 2.5

To determine

Write the equation for the function m(t) point-stope form.

We know that the point-slope form of the line equation is

$y-y_1=m\left(x-x_1\right)$

where

m is the slope of the line

(x₁, y₁) is the point

In our case:

m = 2.5

(x₁, y₁) = (10, 25)

substituting the values m = 2.5 and the point (10, 25) in the equation

$y-y_1=m\left(x-x_1\right)$

$y - 25 = 2.5 (x - 10)$

Therefore, the equation for the function m(t) point-stope form will be:

$y - 25 = 2.5 (x - 10)$

Hence, option D is correct.

The graph is attached below.

8 0

3 years ago

what is the slope intercept form of the equation of a line that passes through the coordinates (3,-2) and (5, -4) ?

frez [133]

Answer:

m=-1x+1

Step-by-step explanation:

uhh i lookedmup the answer

8 0

3 years ago

Read 2 more answers

If 3x-y=123x−y=123, x, minus, y, equals, 12, what is the value of \dfrac{8^x}{2^y} 2 y 8 x start fraction, 8, start superscrip

julia-pushkina [17]

Answer:

$2^{12}=4,096$

Step-by-step explanation:

You know that $3x-y=12$ and have to find

$\dfrac{8^x}{2^y}$

Use the main properties of exponents:

1. $(a^m)^n=a^{m\cdot n}$

2. $\dfrac{a^m}{a^n}=a^{m-n}$

Note that

$8=2^3,$

then

$7^x=(2^3)^x=2^{3\cdot x}=2^{3x}$

Now

$\dfrac{8^x}{2^y}=\dfrac{2^{3x}}{2^y}=2^{3x-y}$

Since $3x-y=12,$ then $2^{3x-y}=2^{12}=4,096$

3 0

3 years ago

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If 3/2 ÷ 1/4 = n, then n is between

nignag [31]

(3/2)/(1/4) = n
(3/2)/(4/1) = n
n = 12/2 = 6

8 0

4 years ago

Read 2 more answers