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BaLLatris [955]
2 years ago
10

Plsssssssssssssss i need help

Mathematics
1 answer:
sp2606 [1]2 years ago
5 0
When looking at the angle, the sides adjacent and hypotenuse are given. This means we use the cos function. Since we are solving for an angle, we inverse the cos.

In calculator, type: cos^-1(6/8)

Answer is A 41.4°
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An engineer is trying to design a runway for an airport. He knows that airplanes have the ability to accelerate at 3.3 m/s ^ 2 a
chubhunter [2.5K]

Answer:

The proposed 1600 meters runway length is not long enough

Step-by-step explanation:

The given parameters are;

The amount by which a plane can accelerate = 3.3 m/s²

The time it takes for a plane to lift off the ground = 35 seconds

The length of the runway on the blueprint = 1,600 meters

Therefore, from the equation of motion for distance traveled, s, acceleration, a, and time taken, t, we have;

s = u·t + 1/2·a·t²

Where;

u = The initial velocity

t = 35 seconds

a = 3.3 m/s²

Given that all planes will start motion from rest, we have;

u = 0 m/s

Therefore;

s = 0 × 35 + 1/2 × 3.3 × 35² = 2021.25 meters

Which indicates that the length of the runway a plane would need for take off should be at least 2021.25 meters long, therefore, the blueprint's 1600 meters runway length is not long enough.

7 0
3 years ago
Answer ASAP, Will give brainliest
erastova [34]

Answer:

Step-by-step explanation:

1) ABCD is a trapezium. AB ║ CD

∠ADC + ∠DAB  = 180°  { Co interior angles}

110° + ∠DAB = 180

         ∠DAB = 180 -110

∠DAB = 70°

2) Sum of all angles of trapezium = 360°

∠A + ∠B + ∠DCB + ∠D = 360

70° + 50° + ∠DCB + 110° = 360

                 230 + ∠DCB = 360

                            ∠DCB = 360 - 230

∠DCB = 130°

3) For finding the height, use Pythagorean theorem

height² + base² = hypotenuse²

      height² + 6² = 10²

      height² + 36 =100

               height² = 100 - 36

              height² = 64

               height = √64

height = 8 m

4) a = AB = x m

  b = 9 m

h = height = 8 m

Area of trapezium = 120 m²

\frac{(a+b)*h}{2}\\\\  = 120

\frac{(x+9)*8}{2} =120\\\\\\(x +9)*4 = 120

x + 9 = 120/4

x + 9 = 30

    x = 30 - 9

x = 21 m

AB = 21m

                             

7 0
3 years ago
If you throw a ball at a rectangular board that is 4 ft. by 5 ft. with a smaller 2 ft. by 2 ft. square painted in the center of
bekas [8.4K]

Answer:

Step-by-step explanation:

Probability=(2*2)/(4*5)=1/5=20 %

8 0
2 years ago
Anna has 32 red beads, 16 blue beads, and 8 green beads. She wants to put an equal number of each kind of bead on necklaces she
WINSTONCH [101]

Answer:

8 of them would probably fit on there

7 0
2 years ago
Drag the phrases into the box to match each expression.
JulijaS [17]

Answer:

3 /4 x+ 1 /2 ​ one-half more than three-fourths of a number

3/ 4 − 1 /2 x  three-fourths minus one-half of a number

3/ 4 −(x+ 1/ 2 )  three-fourths minus the sum of a number and one-half



7 0
3 years ago
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