Determine a series of transformations that would map figure G into figure H.

PLEASE HELP ASAP

Answer:

B or (8π + 12) in.2

Step-by-step explanation:

The area of the composite figure = (8π + 12) [tex]inch^{2}[/tex].

The composite figure is made up of a semicircle and an isosceles triangle.

The area of a semicircle = (1/2)π[tex]r^{2}[/tex]

radius =  4 inch

When we substitute, the area of the semicircle is

= (1/2)π[tex]\times[/tex]16

= 8π [tex]$inch^{2}[/tex]

Area of the isosceles triangle = (1/2)bh

= (1/2)(4+4)[tex]\times[/tex]3

= 12 [tex]inch^{2}[/tex]

We add the two areas to acquire the area of the composite figure to be: (8π + 12) [tex]inch^{2}[/tex]

The area of the composite figure = (8π + 12) [tex]inch^{2}[/tex].

Therefore, the correct answer is option b. (8π + 12) in.2

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Step-by-step explanation:

It is because of Angle-Angle Similarity.

Angle EDC = Angle CAB [Perpendicular, 90°]

Angle ECD = Angle ACB [Vertically Opposite Angles]

So,

Triangle ADC ~ Triangle BAC

Hope it helps :)

Answer:

Because of AA postulate

Step-by-step explanation:

[tex] In\: \triangle ABC\: \&\:\triangle DEC[/tex]

[tex] \angle CAB \cong \angle CDE[/tex] (Right angles)

[tex] \angle ACB \cong \angle DCE[/tex] (Vertical angles)

[tex] \therefore \triangle ABC \sim \triangle DEC[/tex] (AA postulate)

Answer:

look at the picture i have sent

Answer:

triangle and trapezoid

Step-by-step explanation:

The correct answer is Option B) Rectangle

A solid  bounded by plane faces of which one, called the base, is a polygon and the other faces are all triangles meeting at a point outside the polygon.

Given here that the base of the pyramid is a rectangle and thus the plane slicing through the vertex along the perpendicular distance will result in two congruent rectangles at the base as the vertex projects on the midpoint of a rectangle.

Hence, the correct option is B)

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question: An investment of $100 is now valued at $149.18 the interest rate is 8% per year, compounded continuously about how long has the money been invested

Answer:

5.2 years

Step-by-step explanation:

Applying

A = P(1+R/100)ⁿ.......................... Equation 1

Where A = amount, P = principle, R = rate, n = time.

From the question,

Given: A = $149.18, P = $100, R = 8%

Substitute these values into equation 1 and solve for n

149.18 = 100(1+8/100)ⁿ

149.18/100 = (1+8/100)ⁿ

1.4918 = (1+0.08)ⁿ

1.4918 = (1.08)ⁿ

Taking the Logarithm of both side

Log(1.4918) = Log(1.08)ⁿ

Log(1.4918) = nLog(1.08)

n = Log(1.4918)/Log(1.08)

n = 0.1737/0.0334

n = 5.2 years.

answer:

n=43

Step-by-step explanation:

Divide both sides by 7:

[tex]\frac{7n}{7}=\frac{301}{7}[/tex]    

simplify: n=43

Answer:

See attached image!

Step-by-step explanation:

Answer:

Your question is unclear

Step-by-step explanation:

Answer: Thanks!

Step-by-step explanation:

Answer:

Thx!!!

Step-by-step explanation:

I got it right!

Answer:

3999999999/100000000

Step-by-step explanation:

To write 39.99999999 as a fraction you have to write 39.99999999 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

39.99999999 = 39.99999999/1 = 399.9999999/10 = 3999.999999/100 = 39999.99999/1000 = 399999.9999/10000 = 3999999.999/100000 = 39999999.99/1000000 = 399999999.9/10000000 = 3999999999/100000000

Answer:

I'm pretty sure its 3

Step-by-step explanation:

Answer:

3

Explanation:

5 x 10 to the 3rd power equals 5,000 and

5 x 10 to the 6th power equals 5,000,000

when the number is at 5,000 move 3 times to the right and then you get your answer.

Answer:

-3 ≤ x <-2

Step-by-step explanation:

First, you should set up the equation to solve it, which is,

21 ≤ -3(x-4)<18

Then you should simplify the equation to,

21 ≤ -3x+12<18

Then subtract 12 from both sides.

9 ≤ -3x<6

Lastly, divide -3 from both sides.

-3 ≤ x<-2

Answer:

50.24

Step-by-step explanation:

C = Pi x 2 radius

have a good Day !

Answer:

2/1 or 2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

This is a supplementary angle so the right side is equal to 90°. This means the other side must also equal 90°

So subtract 20° from 90° and you get 70°

Next you can just (6(12)-2) or continuously substitute until you get the right answer.

Answer:4T

Step-by-step explanation:

T

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

Explanation:

It's not stated, but I'm assuming your teacher meant to say AB = BC since triangle ABC is isosceles.

From that, we can prove that triangle ADB is congruent to triangle CDB by using the HL rule. Then that means AD = DC = 3 and AC = AD+DC = 3+3 = 6.

Now focus on triangle ADB. It's a right triangle which allows us to use one of the sine, cosine or tangent ratios. We'll use cosine to connect the adjacent side AD = 3 with the unknown hypotenuse AB. The reference angle is BAC = 55. We can shorten this to angle A = 55 if we focus on triangle ADB.

So,

cos(angle) = adjacent/hypotenuse

cos(A) = AD/AB

cos(55) = 3/AB

AB*cos(55) = 3

AB = 3/cos(55)

AB = 5.2303 approximately, make sure your calc is in degree mode

Therefore, the perimeter is

p = AB+BC+AC

p = 5.2303 + 5.2303 + 6

p = 16.4606

p = 16.46

Answer:

p = 16.4

Step-by-step explanation:

cos 55 = 3/x

x = 5.2

BA = 5.2

line AD is = to line DC because it is an isoscles triangle

BC is congruent to BA so BC is also 5.2

add all sides to find perimeter

5.2 + 5.2 + 6 = 16.4

Answer:

x=2°

Step-by-step explanation:

The given angles are corresponding angles.

Corresponding angles are congruent.

7x+3=8x+1

2=x

x=2

Answer:

r = 2  2/11

Step-by-step explanation:

5/12 · r = 10/11

Multiply each side by 12/5 to isolate r

(12/5) *5/12 · r = 10/11* 12/5

r = 12/11 * 10/5

r = 12/11*2

r = 24/11

r = 2  2/11

Answer:

11/24

Step-by-step explanation:

Multiply both sides of this equation by 12/5 to isolate r:

     (5/12)(12/5)

r = ------------------ = 55/120

      (12/5)(10/11)

r = 55/120 = 11/24

Answer: it would be 13

Step-by-step explanation:

Answer:

99 dollars

Step-by-step explanation:

110x.9=99

Or

110x.1=11   110-11=99

Answer:

421 students out of 500 would score higher than 68

Step-by-step explanation:

P(X>68) = normalcdf(68,100,75,7) = 0.841 = 84.1%

Therefore, 84.1% of 500 students is 421 (remember to round up).

There are 421 students out of 500 who would score higher than 68 if the mean is 75 and the standard deviation is 7.

The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation, which is also known as the square root of variance.

Given a mean of 75 and a standard deviation of 7,

Mean μ = 75

SD σ = 7

By using the normal distribution,

P(X > 68) = P( z > (68-μ)/σ)

P(z > 1)

By using z-table, we get

= 0.8413

Therefore, 84.1% of 500 students is 421 (rounded to the nearest integer).

Hence, 84.1% of students out of 500 would score higher than 68.

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Answer:

0, 3

Step-by-step explanation:

it intersects the y at 0,3

the answer is- I can't even. I think lol

As solving more complex problems involves a degree of planning as to how you will arrive at the answer, dyspraxic learners may find it difficult to get started. They can also struggle with the sequence of steps and correct order of operations in math. Attention difficulties can affect math skills in a number of ways.

Answer:

202 Square inches and here's a cool face ツ

Answer:

202 square inches

Step-by-step explanation:

4x13=52 and 15x10=150 so 150+52=202

Answer:

Jane has 30 different outfits she can choose from.

Step-by-step explanation:

Jane has 3 pairs of pants, 5 shirts for each pair of pants, and 2 shoes for each shirt. So the total amount of different outfits she can wear is [tex]3 * 5*2[/tex] = 30 different outfits.

I can't see the problem try taking another photo