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Travka [436]
3 years ago
10

100 points gor correct answer Identify the base of a triangle in which h=(3x+15) ft and A=(15x+75) ft^2.

Mathematics
2 answers:
ivolga24 [154]3 years ago
7 0

Answer:

b = 10

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = \frac{1}{2} bh ( b is the base and h the height )

Here h = 3x + 15 and A = 15x + 75, thus

\frac{1}{2} × b × (3x + 15) = 15x + 75

Multiply both sides by 2 to clear the fraction

b(3x + 15) = 30x + 150

Divide both sides by (3x + 15)

b = \frac{30x+150}{3x+15} ← factor numerator and denominator

  = \frac{30(x + 5)}{3(x+5)} ← cancel the factor (x + 5) on numerator/denominator

  = \frac{30}{3}

  = 10

Yakvenalex [24]3 years ago
5 0

Answer:

b = 10ft

Step-by-step explanation:

Area = ½ × base × height

15x + 75 = ½ × base × (3x + 15)

30x + 150 = base × (3x + 15)

10(3x + 15) = base × (3x + 15)

base = 10

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How do you solve 3/5 times 2/3
UkoKoshka [18]
Hello! And thank you for your question!

First use the rule: A/b x c/d = ac/bd

3 x 2 over 5 x 3

Simplify 3 x 2:

6 over 5 x 3

Simplify 5 x 3:

6/15

Simplify further:

2/5

Final Answer:

2/5
3 0
3 years ago
Mickey tosses a coin 50 times and records 27 heads. Based on these results, what is the probability if
JulijaS [17]

The probability of getting three tails in three tosses When Mickey tosses a coin 50 times and records 27 heads is 12,167:125,000.

<h3>What is probability of an event?</h3>

It is the ratio in an event of the number of favorable outcome to the total number of outcome of that event.

As the probability of an event can not be more than the number 1. Thus, he probability of failure of a event is equal to the difference of the 1 to the success of the event.

Mickey tosses a coin 50 times and records 27 heads. Thus, the probability of getting a head is,

P=\dfrac{27}{50}\\

The probability of not getting a head or getting a tail is,

P^{-1}=1-\dfrac{27}{50}\\P^{-1}=\dfrac{50-27}{50}\\P^{-1}=\dfrac{23}{50}

Now, Mickey tosses the same coin three more times. The probability of getting three tails in these tosses are,

P_{3t}=\dfrac{23}{50}\times\dfrac{23}{50}\times\dfrac{23}{50}\\P_{3t}=\dfrac{12167}{125000}

Thus, the probability of getting three tails in three tosses When Mickey tosses a coin 50 times and records 27 heads is 12,167:125,000.

Learn more about the probability here;

brainly.com/question/24756209

#SPJ1

4 0
1 year ago
Please help me out!! :D
Rudik [331]
T_n = a_1 + d(n - 1)&#10;

T_n = 52 + 12(n - 1)

T_n = 52 + 12n - 12

T_n = 40 + 12n

When n = 102,
T_{102} = 40 + 12(102) = 1264

Answer: 1264

7 0
3 years ago
Find the probability of rolling two number cubes and getting a 2 on the first number cube and a 6 on the second?
Tanzania [10]

Answer:

A

Step-by-step explanation:

A cube has 6 sides

Only one side of the cube has 2 on it

The probability of getting 2 would be 1/6

Only one side of the cube has 6 on it

The probability of getting 6 would be 1/6

For both events to happen together

1/6 x 1/6 = 1/36

4 0
3 years ago
The game of Scrabble has 100 tiles. The diagram shows the number of tiles for each letter and the​ letter's point value. One til
egoroff_w [7]

Answer:

10%

Step-by-step explanation:

In the image attached below, we can see that there are

8 tiles of letter O

2 tiles of letter V

This means that there are 10 total tiles of the letters that you want to get (O and V). Since there are a total of 100 tiles we need to divide this value by 100 to get the probability of getting one of these tiles.

10 / 100 = 0.10 or 10%

Finally, we can see that the probability of selecting a O or a V is 10%

7 0
2 years ago
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