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BigorU [14]
2 years ago
12

The figure shows a grid consisting of 25 small equilateral triangles. How many diamonds, consisting of two adjacent small triang

les, are there?
Will mark brainliest
Fake answers will be reported
Good luck!

Mathematics
1 answer:
DerKrebs [107]2 years ago
8 0

There are 30 diamonds in total.

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what is the probability that s+d>3 and s.d>3? write your answer as a decimal rounded to hundreth place
maw [93]

The probability that s+d > 3 and sd > 3 is 0.03.

<h3>Solution</h3>

Plot the inequalities

The region -5 ≤ s,d ≤ 5 is the square shaded in grey.

The region s + d > 3 is the region Q shaded to the right of the straight line.

The region sd > 3 is the region R shaded to the right of the curve d = 3/s.

Find the intersection of the three regions

From the figure, the region satisfying all the above three inequalities is the region to the left of the curve d = 3/s, bounded by the square region, i.e. the region R.

Probability of region R

The required probability is the Geometric probability of the intersection region R. It is calculated as

P(R) = ar(region R) / ar(square region P).

Calculate the areas of the regions

ar(region R) = area of the rectangle to the right in the first quadrant formed by dropping a vertical from point F - area under the curve d = 3/s in the first quadrant

\[\Rightarrow \;\; \mathrm{ar(\mathbf{R}) =} \int_{3/5}^5\frac{3}{s}ds = 25-3-3\ln\frac{25}{3} = 15.64.\]

ar(region P) = 25 × 25 = 625.

Calculate P(R)

The probability of the region R, P(R) = 15.64 / 625 = 0.025.

Rounding it to the hundredth place of decimal, P(R) = 0.03.

The probability that s+d >3 and sd>3, where -5 < s,d < 5, is 0.03.

Learn more about the Probability here

brainly.com/question/13604758


Disclaimer: The question was incomplete. Please find the full content below.

<h3>Question</h3>

What is the probability that s + d > 3 and sd > 3, where -5 ≤ s,d ≤5? Write your answer as a decimal rounded to the hundredth place.

#SPJ10

8 0
2 years ago
Helpppppppppppppppppp
irina [24]

Option D:

\left(y^{2}+3 y+7\right)\left(8 y^{2}+y+1\right)=8 y^{4}+25 y^{3}+60 y^{2}+10y+7

Solution:

Given expression is \left(y^{2}+3 y+7\right)\left(8 y^{2}+y+1\right).

<u>To find the product of the expression:</u>

\left(y^{2}+3 y+7\right)\left(8 y^{2}+y+1\right)

Multiply each term of the first term with each term of the 2nd term.

           =y^{2}\left(8 y^{2}+y+1\right) +3 y\left(8 y^{2}+y+1\right) +7\left(8 y^{2}+y+1\right)

Using the exponent rule: a^m \cdot a^n = a^{m+n}

           =\left(8 y^{4}+y^3+y^2\right) +\left(24 y^{3}+3y^2+3y\right) +\left(56 y^{2}+7y+7\right)

           =8 y^{4}+y^3+y^2+24 y^{3}+3y^2+3y+56 y^{2}+7y+7

Arrange the terms with same power.

           =8 y^{4}+y^3+24 y^{3}+y^2+3y^2+56 y^{2}+7y+3y+7

           =8 y^{4}+25 y^{3}+60 y^{2}+10y+7

Hence option D is the correct answer.

\left(y^{2}+3 y+7\right)\left(8 y^{2}+y+1\right)=8 y^{4}+25 y^{3}+60 y^{2}+10y+7

6 0
3 years ago
What is the area of the following circle?
satela [25.4K]

Answer:

Look up this on google area of circle with diameter of 8.

Step-by-step explanation:

It will be correct trust me

7 0
3 years ago
HELLPPP GRADESSS AHAHHAH [brainly
Umnica [9.8K]

Answer: 17x+9

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Raymond is making stir-fry rice for dinner. The recipe says to add 3/4 tablespoon of ground ginger, but he only has a 1/8 tables
densk [106]

Answer:

6

Step-by-step explanation:

3/4 = 6/8.

6/8 divided by 1/8 = 6

brianliest pls

4 0
2 years ago
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