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4 years ago

The composite figure below is a triangle and a semicircle. What is the exact area of the figure? Do NOT round at any point!

Mathematics

1 answer:

Tatiana [17]4 years ago

3 0

(2,3) and (-1,-5)
Distance =√(-1-2)^2 +(-5-3)^2
Distance =√73 (diamter)
radius = (√73) / 2

area of semi-circle:
= 1/2 πr^2
= 1/2 π ((√73) / 2)^2
= 73 π / 8
= 9.125 π

area of triangle:
= 1/2 (8)(3)
= 12

Area of the figure = area of semi-circle + area of triangle

= 9.125π + 12

answer
9.125π + 12

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If m angle 2 =70, find m angle 6

rusak2 [61]

m angle 6= 210

I'm not sure about this question

5 0

2 years ago

the brain volumes () of 50 brains vary from a low of to a high of . use the range rule of thumb to estimate the standard devia

Sloan [31]

The estimated standard deviation from the range rule is 145.5 cm3.As it is 29.8 cm3 smaller than the exact standard deviation, we consider that the estimation is not accurate enough.

Generally, brain volumes which are smaller than 921.1 cm3 can be considered significantly low and bigger than 1417.5 cm3 can be considered significantly high. Hence, brain volume of 1457.5 cm3 is bigger than the expected maximum, so it can be considered significantly high.

The calculation goes like this,

According to the range rule, the standard deviation and range, or the distance between the maximum and smallest value, are roughly inversely proportional:

$s=R/4$

If we have a sample of 50 brains volumes, and they range from 910 cm3 to 1492 cm3, we can estimate the standard deviation as:

$s=max-min/4$

s=1492-910/4=582/4=145.5

The exact standard deviation is 175.3 cm3.The difference is 175.3-145.5=29.8 cm3, so the estimation is not accurate enough.

The range rule of thumb states that we should anticipate a maximum value that is approximately two standard deviations above the mean and a lowest value that is approximately two standard deviations below the mean. The expected ranges are as follows given our mean volume of 1169.3 cm3 and standard deviation of 124.1 cm3:

Min= M-2s=1169.3-2*124.1=921.1

Max=M+2s=1169.3+2*124.1=1417.5

The brain capacity of 1457.5 cm3 can be regarded as significantly high because it is higher than the predicted maximum.

To know about standard deviation click here :

brainly.com/question/23907081

#SPJ4

5 0

1 year ago

Answer these questions please. (All three)

viktelen [127]

Answer:

16: y=4x+14 17: 12 18: when you simplify it all individually you get x=3 for both equations. 19: $6.69

Step-by-step explanation:

16:y-2=4(x+3) distribute 4 and get y-2=4x-12. Add 2 to both sides to get y-4x+14.

17:x+2y=4 and 3x+6y=? divide 3x+6y by three and you get x+2y=4. This means you can just multiply the 4 by 3 to get the answer.

18:3x-5=4 and 3x-3=6. For the first one add 5 to both sides to get 3x=9 then divide both side by 3 to get x=3. For the second one add 3 to both sides to get 3x=9. Again divide both sides by three to get x=3.

19: $18-$4.62=13.38 since he wants 2 models divide 13.38 by 2 to get 6.69.

6 0

3 years ago

How do I solve for the solution?? y = 3x +2 y = x + 1

Elis [28]

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(−1/2,1/2)

Equation Form:

x=−1/2,y=1/2

Step-by-step explanation:

7 0

3 years ago

What is the ratio of red to blue squares in its simplest form? 14 red 4 blue

zlopas [31]

Simplest Form: $7 : 2$

How to Simplify a Ratio A : B when A and B are both whole numbers:

List the factors of A
List the factors of B
Find the greatest common factor of A and B, GCF(A, B)
Divide A and B each by the GCF
Use the whole number results to rewrite the ratio in simplest form

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 14 and 4 is 2

Divide both terms by the GCF, 2:

14 ÷ 2 = 7

4 ÷ 2 = 2

The ratio 14 : 4 can be reduced to lowest terms by dividing both terms by the GCF = 2 :

14 : 4 = 7 : 2

Therefore:

14 : 4 = 7 : 2

5 0

3 years ago