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Hunter-Best [27]
3 years ago
12

If line segment AB is 100​%, what is the length of a line segment that is 200​%?

Mathematics
1 answer:
professor190 [17]3 years ago
3 0
2AB ...................
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Walt and Hank collect quarters from different states. Walt collected q quarters. Hank collected four fewer quarters than Walt. T
SpyIntel [72]

Answer:

Walt has 37 quarters.  Hank has 33.

Step-by-step explanation:

Solve the given equation for q:

0.25q + 0.25q - 1.00 = 17.50

Simplify this, obtaining:

0.50q = 18.50

Simplifying this by multiplying both terms of this result by 100:

50 q = 1850

Thus, q = 1850/50 = 37

Walt has 37 quarters.  Hank has 33.

Note that 37 + 33 = 70, and that 70($0.25) = $17.50.  So our results are correct.

8 0
3 years ago
What is the solution to the system of equations below?
Lilit [14]

Answer:

  x,y = -4, -15

Step-by-step explanation:

4 0
3 years ago
A bullet is fired straight up from a gun with initial velocity 1120 feet per second at an initial height of 8 feet. Use the form
Dafna1 [17]

Answer:

70 seconds

Step-by-step explanation:

Given that;

The initial velocity v_o of the bullet fired = 1120 ft/s

Initial height h = 8 feet

The expression to determine how many seconds it takes the bullet to hit the ground is:

h = -16t^2 +v_ot + 8

Thus;

Replacing the value of v_o =  1120 and h = 0 (i.e. when h =0) in the above expression; we have:

0= -16t^2 +(1120)t + 8

=  -16t^2 +(1120)t + (8-0)

= -16t² + 1120t + 8

mulitiply through by (-)

= 16t² -1120t - 8

Divide through by 8

= 2t² -  140t - 1

The above expression forms a quadratic equation.

where;

a = 2

b = -140

c = - 1

So, by using the quadratic formula \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}, we have:

= \dfrac{-(-140) \pm \sqrt{(-140)^2-4(2)(-1)}}{2(2)}

= \dfrac{140 \pm \sqrt{19600-(-8)}}{4}

= \dfrac{140 \pm \sqrt{19608}}{4}

= \dfrac{140 \pm 140}{4}

=\dfrac{140+ 140}{4} \ \ \ OR \ \ \  \dfrac{140-140}{4}

=\dfrac{280}{4} \ \ \ OR \ \ \  0

= 70

Thus, the time (in seconds) it took the bullet to it the ground = 70 seconds

6 0
2 years ago
Find the area of the regular polygon. Round to the nearest tenth.
JulsSmile [24]

Answer:

110.9\ ft^{2}

Step-by-step explanation:

we know that

If the triangle of the figure is a regular polygon

then

Is an equilateral triangle

Remember that

The equilateral triangle has three equal sides and three equal interior angles

The measure of each interior angle is 60 degrees

To find the area of the equilateral triangle apply the law of sines

A=\frac{1}{2} b^{2}sin(60\°)

we have that

b=16\ ft

substitute

A=\frac{1}{2} (16^{2})sin(60\°)=110.9\ ft^{2}

8 0
3 years ago
In a classroom of students 3 out of 5 students are boys. If the total amount of students is 35 how many students are boys. Pleas
Bumek [7]

Answer:

there is 21 boys

Step-by-step explanation:

hope that helps

6 0
2 years ago
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