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GenaCL600 [577]
3 years ago
10

What is the volume of this triangular right prism?

Mathematics
1 answer:
juin [17]3 years ago
7 0
Start off with 6x5 divided by 2. That is the area of the base. Then multiply that by 11. The answer is C. 165
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The approximate height, h, in meters, traveled by golf balls hit with two different clubs over a horizontal distance of d meters
inna [77]

Answer:

a) 100 metres

b) 10 metres

Step-by-step explanation:

Given: the approximate height, h, in meters, travelled by golf balls hit with two different clubs over a horizontal distance of d meters is given by the functions: h=-0.002d^2+0.3d\,,\,h=-0.004d^2+0.5d

To find: distances when the ball is at the same height when either of the clubs  are used. Also, to find this height

Solution:

(a)

-0.002d^2+0.3d=-0.004d^2+0.5d\\d(-0.002d+0.3)=d(-0.004d+0.5)\\-0.002d+0.004d=0.5-0.3\\0.002d=0.2\\d=\frac{0.2}{0.002}=100\,\,metres

(b)

Put d = 100 in h=-0.002d^2+0.3d

h=-0.002(100)^2+0.3(100)\\=-20+30\\=10\,\,metres

4 0
3 years ago
Use the discriminate to determine the number and the nature of the solutions of the giving equation.
PolarNik [594]

Answer:

Since b^2 -4ac = 256 we have 2 real distinct root roots

Step-by-step explanation:

4x^2+12x=7

We need to subtract 7 to get it in the proper form

4x^2+12x-7=7-7

4x^2+12x-7=0

The discriminant is b^2 -4ac

when the equation is ax^2 +bx+c

so a =4   b=12 and c=-7

(12)^2 - 4(4)(-7)

144 +112

256

If b^2 -4ac > 0 we have 2 real distinct roots

If b^2 -4ac = 0 we have one real root

If b^2 -4ac < 0 we have two complex root

Since b^2 -4ac = 256 we have 2 real distinct root roots

7 0
3 years ago
Efectuati!<br> (-1)+2+(-3)+4+(-5)+...+(-19)+20<br> Ajutati-ma, va rog!
alexira [117]

Answer:10

Step-by-step explanation:

2+4+6+.....+20- (1+3+5+7+...+19)=(2-1)+(4-3)+(6-5)+....+(20-19)=1+1+...+1 ( de 10  ori= 10 times)

=10

8 0
3 years ago
Use the figure below to answer questions 3 and 4.
Kobotan [32]

Answer:

?

Step-by-step explanation:

7 0
3 years ago
Can you please help me?
Nimfa-mama [501]
A=iii
B=iv
C=i
D=ii

That's it. I think you can figure out why this is the case.
5 0
3 years ago
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