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Vladimir79 [104]
3 years ago
13

6. In a track-and-field meet, a runner

Mathematics
2 answers:
miss Akunina [59]3 years ago
6 0
96 seconds. There’s 4 200-meter sections in 800 meters. So 24*4 is 96 seconds for the whole race. If it’s taking about the last 600 meters, then it will be 72 seconds because 200 meters have already been ran.
nata0808 [166]3 years ago
3 0

Answer:

About A minute and 6 seconds.

Step-by-step explanation:

So we have to calculate the speed: Speed = distance/time

Speed = 200/24 = 8.3333333

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What is the value of this expression when a = 4 b = - 5 and c = - 7 (a + 2bc)/(3a) O A - 5 1/2 OB. - 1 2/3 Oc. 6 1/6 OD . 17 1/2
Georgia [21]

Answer:

\mathrm{C.} 6 1/6

Step-by-step explanation:

(a + 2bc)/(3a)

Plug in the values.

(4 + 2(-5)(-7))/(3(4))

Evaluate.

(4 + 70)/12

74/12

37/6 = 6 1/6

8 0
4 years ago
Factor the algebraic expression.<br> 12a+9
viva [34]
3(4a+3)

Hope this helps!! :)
6 0
3 years ago
A golfer takes a swing from a hill twenty feet above the cup with an initial upwards velocity of 76 feet per second. How long do
jeka94

Answer:

t = 5 seconds

Step-by-step explanation:

A golfer takes a swing from a hill twenty feet above the cup with an initial upwards velocity of 76 feet per second.

We need to find how long does it take the ball to land on the ground near the cup.

The equation for the path of the ball is given using second equation of kinematics as follows :

-16t^2+76 t+20=0\\\\\text{or}\\\\-4t^2+19t+5=0\\\\-4t^2+20t-t+5=\\\\-4t(t-5)-1(t-5)=0\\\\(t-5)(-4t-1)=0\\\\t=5, t=\dfrac{-1}{4}\ s

Neglecting negative value,

It will take 5 seconds for the ball to land on the ground near the cup.

8 0
3 years ago
3x + 4y = 30<br> 5x + 3 y = 17
vova2212 [387]

Answer:

(-2,9)

Step-by-step explanation:

Solve for the first variable in one of the rquations,then sumstutute the result in the other equation

solve the system of equtions

3 0
3 years ago
Help? im confused plss!<br> Find the area of the regular polygon with the given radius or apothem
Snezhnost [94]

Answer:

  50 cm²

Step-by-step explanation:

Given that the regular polygon is a square, there are multiple ways you can jump directly to the answer. Perhaps the simplest is to use the formula for the area of a rhombus:

  A = 1/2(d1)(d2)

where d1 and d2 are the lengths of the diagonals. Here, we see that half the diagonal is 5 cm, so the area is ...

  A = (1/2)(10 cm)(10 cm) = 50 cm² . . . . area of the polygon

__

<em>Alternate solution</em>

If you want to use the radius and the number of sides in a formula, you can consider the area of each triangle formed by radii and a side. That triangle has area ...

  A = 1/2r²sin(α)

where r is the radius and α is the central angle. For an n-sided polygon, the area is the sum of n of these triangles, and the central angle is 360°/n. Then the polygon area is ...

  A = n/2·r²·sin(360°/n)

For n = 4 and r = 5 cm, the area is ...

  A = (4/2)(5 cm)²(sin(360°/4)) = 2(5 cm)²(1) = 50 cm² . . . . area of square

_____

<em>Additional comment</em>

The formula is somewhat different if you start with the length of the apothem. One way to find the area is using the above formula and the relation between the radius and apothem:

  r = a·sec(180°/n)

Another formula uses the apothem directly:

  A = n·a²·tan(180°/n)

8 0
2 years ago
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