Find the surface area of the composite figure,
5 cm
10 cm
10 cm
8 cm
4 cm
4 cm
5 cm
12 cm

Answer:

41 units

Step-by-step explanation:

Use the Pythagorean Theorem

c^2 = a^2 + b^2

c^2 = 9^2 + 40^2

c^2 = 81 + 1600

c^2 = 1681

Take the square root of both sides

c = 41

The length of the diagonal is 41 units

The Pythagoras' rule states that the sum of the hypotenuse squared is equal to the sum of both the opposite squared and the adjacent squared.

i.e

hyp² = opp² + adj²

The shape of the rectangle takes a right angle triangle with the:

hyp² = 40² + 9²

hyp² = 1600 + 81

hyp² = 1681

hyp = [tex]\mathbf{\sqrt{1681}}[/tex]

hyp = 41 units

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Answer:

Where is the equation??

Answer:

4

Step-by-step explanation:

2:3

4:6

6:9

8:12

8 girls in Ronna’s class

Half of 8 is 4

9514 1404 393

Answer:

  (c)  76.3 in^2

Step-by-step explanation:

From the offered selections, you can make an informed choice with a simple estimate.

The overall length of the figure is 8+6 = 14 inches, and its width is 6 inches. The area will be smaller than a 14 × 6 = 84 square inch rectangle, and larger than the central rectangle of 8 × 6 = 48 square inches.

The only choice in the range 48 to 84 square inches is the correct one:

  76.3 square inches

__

If you'd like to figure it out, the area is the sum of the 48 square inch central rectangle and the (π/4)(36 in^2) ≈ 28.26 square inch circle. That total, rounded to tenths, is 76.3 square inches.

ax + by = 6000 and a + 5 = b are two equations that might be used to calculate how many soup cans and frozen dinners were purchased.

There are several methods to define a formula. A mathematical statement that establishes the equivalence of two mathematical expressions is the definition of an equation in algebra. This is best shown by the formula 3x + 5 = 14. In this instance, the word equal comes between the phrases 3x + 5 and 14. Even the most basic algebraic equations include the usage of mathematical variables.

X now has 300 mg of sodium in it.

[tex]x = 300[/tex]

Y also has 450 mg of sodium in it.

[tex]y = 450[/tex]

Samuel reportedly buys five more frozen dinners than soup cans, and they all have a combined salt content of 6000 mg.

Let the number of frozen dinners be "b," and the number of soup cans be "a."

ax + by = 6000

a(300) + b(450) = 6000 .

Samuel bought 5 more frozen dinners than soup cans, according to the inquiry, which results in equation

[tex]a + 5 = b \\a(300) + (a + 5)(450) = 6000\\300a + 450a = 6000 - 2250\\ 750a = 3750\\ a = 3750/750\\ a = 5\\5 + 5 = b\\ b = 10[/tex]

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Answer:

[tex]x=6[/tex]

[tex]y=3\sqrt{2}[/tex]

Step-by-step explanation:

[tex]x^2=(3\sqrt{2})^2+(3\sqrt{2)^2}[/tex]

[tex]\sqrt{x^2} =\sqrt{36}[/tex]

[tex]x=6[/tex]

----------------------

hope it helps..

have a great day!!

Answer:

x=6

y=3√2

Step-by-step explanation:

hope it helps you...

Answer:

parallel line: y = 8x - 26

perpendicular line: y = -1/8 x - 13/8

Step-by-step explanation:

1.

Lines are parallel, so slopes are equal, and y-intercepts are different.

Given line:

y = 8x - 2

New line:

y = 8x + b

Use point (3, -2) and solve for b.

-2 = 8(3) + b

-2 = 24 + b

b = -26

Equation: y = 8x - 26

2.

Lines are perpendicular, so slopes are negative reciprocals.

Given line:

y = 8x - 2

New line:

m = -1/8

y = -1/8 x + b

Use point (3, -2) and solve for b.

-2 = -1/8 × 3 + b

-2 = -3/8 + b

b = -16/8 + 3/8

b = -13/8

Equation: y = -1/8 x - 13/8

Answer:

6.89

Step-by-step explanation:

Add 6.89 and 14.52 together. Subtract 14.52 from that. You should get 6.89. Hope this helps.

Answer:

a) P₁ = 0,0294

b) P₂ = 0,097

c) P₃  = 0,1264

P₃  is the total probability of the individual having a positive test result

d) P₄ = 0,232

Step-by-step explanation:

a) Probability that an individual has the disease and has a positive result is P₁ :

P₁ = The probability of having the disease * Probability of + in the test result

P₁ = 0,03 * 0,98

P₁ = 0,0294

b) the probability that an individual does not have the disease and has a positive test result P₂ is:

P₂ = 0,97 * 0,1

P₂ = 0,097

c) P₃   the sum of the two previous probabilities is:

P₃  = 0,0294 + 0,097

P₃  = 0,1264

P₃  is the total probability of the individual having a positive test result

d) Applying the Bayes theorem we can get the probability that an individual with a positive test result has the disease.  (P₄ )

Bayes theorem establishes:

P [ A/B ]  =  P[B/A] * P(A) / P(B)

In this case

P[ with disease/ given (+)tr]

= P [(+)Test/ with disease]* P (with disease)/ P of test +

P₄ = 0,98 * 0,03 / 0,1264

P₄ = 0,232

Answer: b

Step-by-step explanation:

Esh

Answer:

No, it is not a right triangle.

Answer:

Step-by-step explanation:

1. Find the slope of the line using the formula (change in y/change in x)

(12-22)/(7/12)=2

2. Find the y intercept by plugging in one coordinate point and the slope into the slope-intercept form.

Formula: y=mx+b Coordinate: (12, 22)

22=2(12)+b

22=24+b

b=-2

3. Put the equation together given slope and y-intercept.

y=2x-2

The value of side GH as shown in the parallelogram is 2 units

Parallelogram is a polygon that has four sides (quadrilateral) and opposite sides are always equal and parallel to each other

Two shapes are said to be similar if they have the same shape and the ratio of their corresponding sides are proportional. Also, their corresponding angles are equal to each other.

Parallelogram abcd is similar to parallelogram efgh, hence:

FG/BC = GH / CD

substituting:

7/21 = GH / 6

GH = 6 * 7/21 = 2

GH is 2 in

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Answer:

1) A) Increases

2) C) Stays the same

Step-by-step explanation:

1) A) Increases (94 to 95)

2) C) Stays the same (95)

Answer:

Step-by-step explanation:

Answer:

370 m²

Step-by-step explanation:

Front and back

a = 2(11 * 6)

a = 132 m²

Right and left sides

a = 2(7 * 6)

a = 84 m²

Top and bottom

a = 2(11 * 7)

a = 154 m²

______________________

total

a = 132 + 84 + 154

a = 370 m²

Answer:

12.5

Step-by-step explanation:

you can solve this by dividing 250/20=12.5

Answer:

0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 inches

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Distribution of the difference in height between men and woman:

Applying the concept above:

[tex]\mu = 69.3 - 64 = 5.3[/tex]

[tex]\sigma = \sqrt{2.7^2 + 2.8^2} = 3.89[/tex]

What is the probability that the young man is taller than the young woman by more than 5 inches?

Probability of the difference being more than 5 inches, that is, 1 subtracted by the pvalue of Z when X = 5.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{5 - 5.3}{3.89}[/tex]

[tex]Z = -0.08[/tex]

[tex]Z = -0.08[/tex] has a pvalue of 0.4681

1 - 0.4681 = 0.5319

0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 inches

Answer: (12,5)

Step-by-step explanation: For that class you can't do

The points (s, t) is inside the shaded region of the set of inequalities shown is, (3, 2)

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

All the inequalities are,

S < 10 - 0.33t

S < 12 - t

S > 5 - t

S > 0

t > 0

From option B;

Point = (3, 2) = (s, t)

Put s = 3 , t = 2, we get;

S < 10 - 0.33t

3 < 10 - 0.33 x 2

3 < 10 - 0.66

3 < 9.34

Hence, The points (s, t) is inside the shaded region of the set of inequalities shown is, (3, 2)

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Answer: 1,000,000

Step-by-step explanation: USA test prep

Answer:

x = 3

Step-by-step explanation:

Answer:

it’s in the picture

Step-by-step explanation:

I hope it helps

Answer:

76 don't know how to explain it

Answer:

no correlation

Step-by-step explanation:

On solving the provided question, we cans say that - here in coordinates S is given by: [tex](-2,4)[/tex]

A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.

x-coordinate of [tex]X = -2[/tex]

y-coordinate of[tex]S = 4.[/tex]

S is given by: [tex](-2,4)[/tex]

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On solving the provided question, we cans say that - here in coordinates S is given by: (-2,4)

A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.

x-coordinate of -2

y-coordinate of 4

S is given by: (-2,4)

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Step-by-step explanation:

slope is y2-y1/x2-x1

formula is

y=mx+b where m is the slope

According to the property of cofunctions, [tex]$\sin 30^{\circ}$[/tex] exists equivalent to

[tex]$\cos 60^{\circ} \cdot \sin 30^{\circ}=1 / 2$[/tex].

A trigonometric function whose value for the complement of an angle exists equivalent to the value of a given trigonometric function of the angle itself the sine exists the cofunction of the cosine.

According to the property of cofunctions, [tex]$\sin 30^{\circ}$[/tex] exists equivalent to

[tex]$\cos 60^{\circ} \cdot \sin 30^{\circ}=1 / 2$[/tex].

Therefore, the correct answer is option B. 1/2.

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Answer:

Only the second and third statements are correct:

Doubling r quadruples the volume.

Doubling h doubles the volume.

Step-by-step explanation:

The volume of a cylinder is given by:

[tex]\displaystyle V=\pi r^2h[/tex]

We can go through each statement and examine its validity.

Statement 1)

If the radius is doubled, our new radius is now 2r. Hence, our volume is:

[tex]\displaystyle V=\pi (2r)^2h=4\pi r^2h[/tex]

So, compared to the old volume, the new volume is quadrupled the original volume.

Statement 1 is not correct.

Statement 2)

Using the previous reasonsing, Statement 2 is correct.

Statement 3)

If the height is doubled, our new height is now 2h. Hence, our volume is:

[tex]V=\pi r^2(2h)=2\pi r^2h[/tex]

So, compared to the old volume, the new volume has been doubled.

Statement 3 is correct.

Statement 4)

Statement 4 is not correct using the previous reasonsing.

Statement 5)

Doubling the radius results in 2r and doubling the height results in 2h. Hence, the new volume is:

[tex]V=\pi (2r)^2(2h)=\pi (4r^2)(2h)=8\pi r^2h[/tex]

So, compared to the old volume, the new volume is increased by eight-fold.

Statement 5 is not correct.

Answer:

Mizuki is on the way to help!

The original price was $50!

Step-by-step explanation:

This is the way I did it, I don't know if your going to do it this way so use it as an refrence!

10 - 4 = 6

30 ÷ 6 = 5

5 x 10 = 50

Answer:

$50.00

Step-by-step explanation:

This is because 30 is 60% of 50. (100% - 40% = 60%)

You can verify this answer by calculated 40% of 50, which is 30.

Hope this helps!

Answer: [tex]\frac{29}{6}[/tex]

Step-by-step explanation:

To make an improper fraction, make the whole number into a fraction with the denominator 6. We do this because we want the fraction and the whole number to have the same denominator, so we can later add them together.

To do this, multiply 4 by 6:

[tex]\frac{4 }{6}[/tex] * [tex]\frac{6}{1}[/tex] = [tex]\frac{24}{6}[/tex]

Then, add [tex]\frac{24}{6}[/tex] and [tex]\frac{5}{6}[/tex] together

[tex]\frac{24}{6}[/tex] + [tex]\frac{5}{6}[/tex] = [tex]\frac{29}{6}[/tex]