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2 years ago

Which expression is equivalent to 2 3/5 divided by 7/9?

Mathematics

1 answer:

stealth61 [152]2 years ago

6 0

Step-by-step explanation:

$2 \frac{3}{5} \div \frac{7}{9 } \\ \frac{13}{5} \times \frac{9}{7} \\ = \frac{117}{35}$

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Mr. Smith is flying his single-engine plane at an altitude of 2400 feet. He sees a cornfield at an angle of depression of 30º. W

Svet_ta [14]

Answer:

Height of the fighter plane =1.5km=1500 m

Speed of the fighter plane, v=720km/h=200 m/s

Let be the angle with the vertical so that the shell hits the plane. The situation is shown in the given figure.

Muzzle velocity of the gun, u=600 m/s

Time taken by the shell to hit the plane =t

Horizontal distance travelled by the shell =u

Distance travelled by the plane =vt

The shell hits the plane. Hence, these two distances must be equal.

t=vt

u Sin θ=v

Sin θ=v/u

=200/600=1/3=0.33

θ=Sin

−1

(0.33)=19.50

In order to avoid being hit by the shell, the pilot must fly the plane at an altitude (H) higher than the maximum height achieved by the shell for any angle of launch.

max

sin

(90−θ)/2g=600

/(2×10)=16km

4 0

3 years ago

5(x-7) = 6(x+2) please help ... I got 11x = -23??

eimsori [14]

Answer:

$x = -47$

Step-by-step explanation:

1. Use the distributive property

5 ( x - 7 ) = 6 ( x + 2 ) → 5x - 35 = 6x + 12

2. Subtract 5x from both sides of the equation

5x - 5x -35 = 6x - 5x + 12 → -35 = x + 12

3. Subtract 12 from both sides

-35 - 12 = x + 12 - 12 → -47 = x

4. So, the answer is

$x = -47$

4 0

2 years ago

3 + 12(3p + 2) = 9(p - 3)

VikaD [51]

Answer:

$3 + 12(3p + 2) = 9(p - 3) \\ 3 + 36p + 24 = 9p - 27 \\ 27p = - 54 \\ p = - \frac{54}{27} \\ \boxed{p = - 2}$

<h3>p=-2 is the right answer.</h3>

8 0

3 years ago

10 cm 15 cm 6 cm What is the total surface area of the prism in square centimeters?

Tamiku [17]

Answer:

as cheeks bxnxndnndnsnsndvbsncnf

5 0

3 years ago

Write an exponential function in the form y=ab^x that goes through points (0,9) and (3, 576)

sineoko [7]

Answer:

An exponential function in the form y=9(4ˣ)

Step-by-step explanation:

Step(i):-

Given that exponential function

y = a bˣ ...(i)

The equation (i) passes through the point (0,9)

9 = a (b )⁰ = a

a =9

Step(ii):-

The equation (i) passes through the point (3,576)

576 = 9(b)³

⇒ $\frac{576}{9} = b^{3}$

⇒ 64 = b³

⇒ 4³ = b³

$(4^{3} )^{\frac{1}{3} } = (b^{3} )^{\frac{1}{3} }$

b = 4

Final answer:-

An exponential function in the form y=abˣ

An exponential function in the form y=9(4ˣ)

6 0

2 years ago