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Mandarinka [93]
3 years ago
9

Given A = 1/2(b1 + b2)h, solve for h.

Mathematics
1 answer:
sp2606 [1]3 years ago
6 0

The answer is h = 2A/(b1 + b2).

In order to find this, use all the methods for solving typically used in these types of equations. See the below example.

A = 1/2(b1 + b2)h ---> Multiply both sides by 2.

2A = (b1 + b2)h -----> Divide both sides by (b1 + b2)

2A/(b1 + b2) = h

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In triangle RST, angle R is a right angle. If TR = 6 and TS = 8, what is the length of RS
lisabon 2012 [21]

Answer:

RS = 2\sqrt{7}

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

RS² + RT² = TS² , that is

RS² + 6² = 8²

RS² + 36 = 64 ( subtract 36 from both sides )

RS² = 28 ( take the square root of both sides )

RS = \sqrt{28} = \sqrt{4(7)} = 2\sqrt{7} ≈ 5.3 ( to 1 dec. place )

8 0
3 years ago
91. Jack can read 45 pages of his book in one and a
Digiron [165]

Answer:

10 hours

Step-by-step explanation:

45 pages per 1 hour and 30 minutes,  or 60 min +30 min =90 min

90 minutes / 45 pages has to be equal to an equivalent fraction where we have 300 pages

90 minutes /45 pages = ? minutes / 300 pages , multiply both sides by 300

? minutes = 90*300/45 = 600 minutes

to read 300-page book will take 600 minutes = 10 hours

3 0
3 years ago
Of 560 marbles in a bag, 65% are red and the rest are blue. After 28 red marbles are replaced with blue ones, how many blue marb
jonny [76]

Answer:  The answer is 400  blue marbles.


Step-by-step explanation: Given that there are 560 marbles in a bag, out of which 65% are red and rest are blue.

So, number of red marbles is

n_r=65\%\times 560=\dfrac{65}{100}\times 560=364,

and number of blue marbles is

n_b=560-364=196.

Now, if 28 red marbles are replaced by blue marbles, the the new number of red and blue marbles will be

n_r^\prime=364-28=336~~~\textup{and}~~~n_b^\prime=196+28=224.

Now, to get 65% of the marbles blue, we need to add some more blue marbles to the bag. Let 'x' number of blue marbles are added to the bag, then

65\%\times (560+x)=224+x\\\\\Rightarrow \dfrac{65}{100}\times (560+x)=224+x\\\\\Rightarrow 13(560+x)=20(224+x)\\\\\Rightarrow 7280+13x=4480+20x\\\\\Rightarrow 7x=2800\\\\\Rightarrow x=400.

Thus, 400 blue marbles need to be added to the bag.


5 0
4 years ago
Read 2 more answers
A rectangle is 1/3 yd long and 2/3 yd wide
ICE Princess25 [194]
It might be 2/9 sorry if it wasn’t
3 0
4 years ago
Which graph best represents an exponential function?
stellarik [79]

Hey there! :)

Answer:

Choice B.

Step-by-step explanation:

We can eliminate each graph:

a). This is what is known as a step function. This is incorrect.

b). This is an exponential function because the graph is shaped like a geometric equation. This means that the rate of change is exponential. This is the correct choice.

c). This is an absolute value function. This is incorrect.

d). This is a graph of a polynomial. This does not represent an exponential function, which makes it incorrect.

3 0
3 years ago
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