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Alecsey [184]
3 years ago
13

What is the value of x? (9x - 3) (6x) 48° Enter your answer in the box. X=

Mathematics
1 answer:
Dima020 [189]3 years ago
6 0

Answer:  x = 9

Step-by-step explanation:

The sum of three interior angles of a triangle is 180°.

(9x - 3)  + (6x)  + 48° = 180°

9x - 3 + 6x + 48 = 180

15x + 45 = 180

15x = 135

x = 9

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Mark dropped an object from a bridge 400 feet above the ground level with an initial velocity of 0. He knows that the gravitatio
lisabon 2012 [21]

Answer:

The first listed equation is the correct equation to solve

The correct answer is: t = 5 seconds

Step-by-step explanation:

Let me mention first that there is an error in the statement that the gravitational pull of the Earth is 16 ft/s^2. It is in fact 32 ft/s^2, and the actual equation uses half of the acceleration multiplied by the square of the variable time, so it gives as final expression :

y(t)=-16\,t^2+ 0 \,t +400

and we want to find the value/s for "t" that make this equation equal zero (when it reaches the ground and the object just touches the ground. This makes the equation we want to solve:

0=-16\,t^2+ 0 \,t +400\\16\,t^2+0\,t -400=0

which solving for "t" becomes:

16\,t^2-400 =0\\16\,t^2=400\\t^2=\frac{400}{16} \\t^2=25\\t= +/- 5\,\,sec

So we adopt the positive answer (positive time) since the negative value has no physical meaning for this problem.

That is: t = 5 seconds

6 0
3 years ago
-1/2 + 1 1/2 + 3 - n
GREYUIT [131]

Answer:

The answer all together would be 5 minus n.

Step-by-step explanation:

a negative and a positive equals a positive so -1/2 + 1 1/2 would equal 2 and 2 + 3 equals 5. Then, the remaining numbers are 5 and n. The final answer is 5 minus n because n is unknown.

4 0
3 years ago
What is the area of the sector shown in the diagram below?
Step2247 [10]
The formula to find the area of a sector = Ф*r²/2

Ф to be in radian, here Ф=45° =π/4

sector = 1/2(π/4)x 100
sector = 39.27 ≈39.3° (B)

6 0
3 years ago
Plz somebody help. ^_^
pickupchik [31]

Answer:

sin θ =  15/17

Step-by-step explanation:

First we have to know how much the hypotenuse measures.

to take out the hypotenuse we will use pitagoras, with the following formula.

h^2 = c1^2 + c2^2

c1 = 8

c2 = 15

h^2 = 8^2 + 15^2

h^2 = 64 + 225

h = √ 289

h = 17

well to start we have to know the relationships between angles, legs and the hypotenuse.

a: adjacent

o: opposite

h: hypotenuse

sin θ = o/h

cos θ= a/h

tan θ = o/a

we want to know the sin of θ

sin θ = o/h

sin θ =  15/17

5 0
3 years ago
Write an equation for a line perpendicular to y=3x−1 and passing through the point (-9,4)
Vedmedyk [2.9K]

Answer:

y=-1/3x+1

Step-by-step explanation:

(picture explains)

6 0
3 years ago
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