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Gnesinka [82]
3 years ago
7

A gym instructor has a total of 60 hand weights in her studio.Some of the hand weights are 3 pound weights and the rest are 5 po

und weights. If there are more 10 more 5-lb weights than 3-lb weights, then how many of each kind does she have
Mathematics
1 answer:
Masja [62]3 years ago
6 0

Answer:

35 5-lb weights and 25 3-lb weights

Step-by-step explanation:


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The Grand Canyon Skywalk at Eagle Point is a horseshoe shaped steel frame with a glass floor looking down to the Grand Canyon be
yulyashka [42]

Answer: It will be needed 864 square feet of glass to cover the Skywalk floor.

Step-by-step explanation: The figure below shows the area in question.

Area of a circle is given by

A=\pi.r^{2}

The walkway is a semicircle. Then, area will be:

A=\frac{\pi.r^{2}}{2}

The area that will be covered with glass is the area between the outer and the inner circles. So, area is

A_{t}=A_{outer}-A_{inner}

A_{t}=\frac{\pi.r_{o}^{2}}{2}- \frac{\pi.r_{i}^{2}}{2}

A_{t}=\frac{\pi}{2}(32.5^{2}-22.5^{2})

A_{t}=\frac{\pi}{2}(550)

A_{t}= 864

<u>To cover the Skywalk floor is needed </u><u>864</u>ft^{2}<u> of glass</u><u>.</u>

4 0
3 years ago
What is the area of an equilateral triangle with sides of length 20?
Anarel [89]

Answer:

173.2

Step-by-step explanation:

area of equilateral triangle = √3 / 4 l^2

so area =173.2

6 0
3 years ago
G=b-ca <br><br> PLEASE HELP ! what is a ??
Nikitich [7]
G=b-ca
Subtract b from both sides
G-b=-ca
Divide by -c
(G-b)/-c=a

I hope this Helps!
8 0
3 years ago
Thereare 30 students in mr.holland's music class.if 30% of the students play in the school band,how many students in the class p
stiv31 [10]
9 students in the class play in the school band. 

30% of 30
Well, when doing a percentage you first turn the percentage into a decimal (move the % two units to the left). So 30% = 0.3

In math, the word of  means multiplication, so: 0.3 x 30 
Which equal 9. 

You can also turn the percentage into a fraction, it's really up to preference. 

30/100 of 30 = 3/10 of 30 = 3/10 x 30 = 3/10 x 30/1 = 9/1 or 9

6 0
3 years ago
Read 2 more answers
Solve the following quadratic equation using the quadratic formula.
sdas [7]
ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\x_1=\dfrac{-b-\sqrt\Delta}{2a};\ x_2=\dfrac{-b+\sqrt\Delta}{2a}

<span>5x^2-8x+5=0\to a=5;\ b=-8;\ c=5\\\\\Delta=(-8)^2-4\cdot5\cdot5=64-100=-36\\\\\sqrt\Delta=\sqrt{-36}=6i

x_1=\dfrac{-(-8)-6i}{2\cdot5}=\dfrac{8-6i}{10}=\dfrac{4-3i}{5}\\\\x_2=\dfrac{-(-8)+6i}{2\cdot5}=\dfrac{8+6i}{10}=\dfrac{4+3i}{5}
</span>
6 0
3 years ago
Read 2 more answers
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