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hoa [83]
2 years ago
10

What is the area of triangle rst? 6 square units 9 square units 12 square units 18 square units

Mathematics
1 answer:
Butoxors [25]2 years ago
6 0

The area of the considered triangle RST is given by: Option A: 9 sq. units.

<h3>How to find the area of a triangle?</h3>

If we have:

  • Length of its base = b units
  • Its height = h units long,

Then we get:

Area of a triangle = \dfrac{b \times h}{2} \: \rm unit^2

The missing image is attached below.

If we take the base of the triangle as RS, then as the line UT is perpendicular to RS (as RS is parallel to x axis and UT is parallel to y axis) and touching from the base line RS to T, thus, it can be taken as height.

Thus, we have:

Area of RST = half of length of RS (base) times length of UT (height)

As visible from image, we have:

Length of RS = 6 blocks of unit length = 6 units

Similarly, length of UT = 3 units

Thus, we get:

Area of RST = \dfrac{6 \times 3}{2} = 9 \: \rm unit^2

Thus, the area of the considered triangle RST is given by: Option A: 9 sq. units.

Learn more about area of a triangle here:

brainly.com/question/14503701

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alexgriva [62]

Answer:

Step-by-step explanation:

GHJ looks like it on 112 degrees.

IHJ is an acute angle so smaller than 90 degrees. I cant see the numbers there but I'm guessing its about 68 degrees.

GHJ + IHJ= 180

they should equal 180 degrees when added together.

6 0
3 years ago
Suppose you want to accumulate $25,000 as down payment on a house and the best you can do is to put aside $200 a month. If you d
Sunny_sXe [5.5K]

Answer:

It will take 88.2 months to accumulate the amount

Step-by-step explanation:

Given;

Future value of money, FV = $25,000

investment per compound period, P = $200

interest rate, i = 0.75% x 12 = 9%

The number of monthly installments required to amount to FV is given by;

n = \frac{ln(FVi +cp)-ln(cp)}{ln(c+i)-ln(c)}\\\\ n = \frac{ln(25000*0.09 +200*12)-ln(200*12)}{ln(12+0.09)-ln(12)}\\\\n = \frac{8.4446 -7.7832}{2.4924-2.4849}\\\\n = 88.2 \ months

Therefore, it will take 88.2 months to accumulate the amount.

7 0
3 years ago
Which is a sentence fragment?
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But get there on time
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3 years ago
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Which would you consider to be more accurate, a probability experiment of 10 trials or a probability experiment of 100 trials
Marat540 [252]
I would 100 because the more the trials means the more the results which means you get more of an accurate experiment then if you only did 10. Because since you have so many answers from all of the experiments you can conclude the correct answer from all of the experiments. I hope you get what I’m trying to say
8 0
3 years ago
√180 can be expressed in the form p√q. where p and q are integers. Find the smallest value of p + q. ​
frutty [35]

Answer:  

The smallest value of p+q is 11

It happens when p = 6 and q = 5.

=======================================================

Explanation:

Let's factor 180 in such a way that exactly one factor is a perfect square.

I'll ignore the trivial factor of 1.

Here are the possible factorizations we could go with:

180 = 4*45

180 = 9*20

180 = 36*5

Those factorizations then lead to the following

\sqrt{180} = \sqrt{4*45} = \sqrt{4}*\sqrt{45}= 2\sqrt{45}\\\\\sqrt{180} = \sqrt{9*20} = \sqrt{9}*\sqrt{20}= 3\sqrt{20}\\\\\sqrt{180} = \sqrt{36*5} = \sqrt{36}*\sqrt{5}= 6\sqrt{5}\\\\

Then we have

p+q = 2+45 = 47

p+q = 3+20 = 23

p+q = 6+5 = 11

The smallest value of p+q is 11 and it happens when p = 6 and q = 5.

Side note: p+q is smallest when we go with the largest perfect square factor.

6 0
1 year ago
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