A) describe each two-dimensional figure cross section that results from slicing each three-dimensional figure
B)describe the two dimensional figure cross section that results from slicing the cylinder number 6 with a vertical cross-section
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Answer:

a) Side lengths

= GH = 5 units

HI = 6 units

GI = 7.81 units

b) Angle measures

Angle G = 39.81°

Angle H = 90°

Angle I = 50.2°

Step-by-step explanation:

The coordinates of the vertices of △GHI are G(−7,2), H(−2,2), and I(−2,8). Find the side lengths to the nearest hundredth and the angle measures to the nearest degree.

Step 1

We find the side lengths using the coordinates formula

= √(x2 - x1)² + (y2 - y1)²

When we are given vertices (x1, y1) and (x2 , y2)

Coordinates of the vertices of △GHI are G(−7,2), H(−2,2), and I(−2,8).

For side length

GH = G(−7,2), H(−2,2)

= √(-2 - (-7))² + (2 - 2)²

= √(-2 + 7)² + (0)²

= √5²

= √25

= 5 units

For side length HI

HI = H(−2,2), and I(−2,8)

= √(-2 -(-2))² + (8 - 2)²

= √(0)² + (6)²

= √36

= 6 units

For side length GI

G(−7,2), I(−2,8)

= √(-2 -(-7))² + (8 - 2)²

= √(5)² + (6)²

= √25 + 36

= √61

= 7.81 units

Step 2

Angle measures

We find this using Cosine rules

Angle a = arc cos (b² + c² - a²/2bc)

Hence:

Finding

Angle G = arc cos (6² + 7.81² - 5² / 2 × 6 × 7.81)

= 39.81°

Angle H = arc cos (5² + 6² - 7.81² / 2 × 5 × 6)

= 90°

Angle I = arc cos (5² + 7.81² - 5² / 2 × 5 × 7.81)

= 50.2°

Answer:

GH = 5, HI = 6, GI ≈ 7.81

m∠H = 90°, m∠G ≈ 50°, m∠I ≈ 40°

Step-by-step explanation:

Answer:

1. g=0

2. t=-11

3. v=56

4. d=-27

Step-by-step explanation:

1. add 4 to both sides

2. divide both sides by -5

3. multiply both sides by -7

4. multiply both sides by -3

Answer:1) g=0

2)t=-11

3)v=56

4)d=-27

Step-by-step explanation:

1) add 4 to both sides, g=0

2)divide by -5 on both sides to isolate the variable

3) multiply by the reciprocal (opposite) of -1/7 which is -7 on both sides to get 56

4) multiply by the denominator on both sides, so -3 to get -27

Answer:

Step-by-step explanation:

Given

a. Formula

b. Year 5 is after 4 years, so we are looking for the value of P(4)

c. P(x) = 40000, x = ?

The required number of the years is 6 + 1 = 7

Answer:

y=2x+-5. I think.

Step-by-step explanation:

Gradient = 0.1

Step-by-step explanation:

ΔX = 4 – -6 = 10

ΔY = 3 – 2 = 1

Gradient = m = ΔY/ ΔX = 1/10 = 0.1  

The gradient of a line segment is a measure of how steep the line is. A line with a large gradient will be steep; a line with a small gradient will be relatively shallow; and a line with zero gradient will be horizontal.

Answer:

iniciações, tradições, história, valores e princípios, propósito, símbolos e limites.

Step-by-step explanation:

Brainliest PLSSS

Answer:

29 degrees

Step-by-step explanation:

alternate interior angles are equal

The measure of angle LMQ in the parallelogram LMNQ is 29 degrees

From the diagram, we have the following parameters

Also, from the diagram, angles MQN and LMQ are alternate interior angles

This means that, both angles are congruent

So, we have:

[tex]\angle LMQ = \angle MQN[/tex]

This gives

[tex]\angle LMQ = 29^o[/tex]

Hence, the measure of angle LMQ in the parallelogram LMNQ is 29 degrees

Read more about parallelograms at:

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Answer:

-3

Step-by-step explanation:

-5 1/2 + 6 3/4 - 4 1/4

= 1 1/4 - 4 1/4

= -3

Answer:

5.46

Step-by-step explanation:

Using pythagoras theorem;

AD^2 =  5.3^2 - 4.1^2

AD^2 = 28.09-16.81

AD^2 = 11.28

AD = √11.28

AD = 3.36

x^2 = 3.36^2+4.3^2

x^2 = 11.28 + 18.49

x^2 = 29.77

x = 5.46

Hence the value of x is 5.46

Answer:

A train covers a distance of 51km in 45 minutes how long will it take to cover 221km. :. Total time it will take to cover 221 km= 195 minutes i.e. 3 hours 15 minutes. Hope it helps

Answer:

11.1%

Step-by-step explanation:

(3 - 2.7)/2.7 = 11.1%

(measured - true) x 100 = percent error

          true

Answer:

[tex]=144\pi cm^{2} =452.16cm^{2}[/tex]

Step-by-step explanation:

[tex]A=\pi r^{2} =\pi 12^{2} = 144\pi cm^{2}[/tex]

Answer:

8 & 1/3

Step-by-step explanation

Answer:

14/3+11/3=25/3=8 1/3

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

The graph of g(x) is the graph of f(x) shifted 6 units left , then

g(x) = f(x + 6) → C

Answer:

Divide both sides by 3.

(x+2)^2=16

Square root both sides.

x+2= ± 4  (plus OR minus, can be either so we have to include both)

Minus 2 from both sides.

x=-2 ± 4

Add and minus the 4 to -2.

x = -2-4 = -6 and x=-2+4 = 2

Answer: x = -6, x = 2

Step-by-step explanation:

3(x+2)^2 = 48

(X+2)^2 = 16 —> divide both sides by 3.

(X+2) = 4 or -4 —> take square root. Remember plus or minus!

X + 2 = 4 —> make (x+2) equal to 4.

X = 2 <— solution.

X + 2 = -4 —> make (x+2) equal to -4.

X = -6 <— solution.

Answer:

37.5

Step-by-step explanation:

Selling price= 750

Sales tax= 5%

5/100 because we are looking for 5% ot of 100%

750*0.05

area of circle =  π r²

π r²= 49 π

r²= 49             r= √49                  r= 7

circumference of circle = 2 π r

                                       = 2×7 × π

                                       = 14 π

The circumference of a circle is 14π.

A circle is a two-dimensional figure with a radius and circumference of πr.

The area of a circle is πr².

We have,

Area of a circle = 49π in².

Area of a circle = πr²

Now,

πr² = 49π

r² = 49

r = 7

Now,

Circumference of a circle.

= 2πr

= 2π x 7

= 14π

Thus,

The circumference of a circle is 14π.

Learn more about circle here:

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Answer:

5x=25

Step-by-step explanation:

if you need the answer

5x5=25

5+5+5+5+5=25

Answer:

First, you have to set 5x equal to (3x+10). They are vertical angles and therefore congruent.

5x = 3x+10              The variable should only be on one side of the equation,

5x - 3x = 10             Therefore subtract 3x from both sides

2x = 10                     Divide by 2 on both sides.

x = 5

We're not done yet, since we've found the x-value we have to solve for ∠GEC.

∠GEC = 3x+10 = 3(5)+10 = 15+10 = 25°

∠GEC and ∠FEG form a right angle. This means that the sum of the two angles is 90°

90° = 25° + x            In this case, we're using "x" to solve for ∠FEG

90-25 = x                  We subtract 25 from both sides to get the variable by itself.

65° = x

∠FEG = 65°            The Answer is B

Step-by-step explanation:

Answer:

B rectangle

Step-by-step explanation:

Answer:

20 students per teacher, 12 students per tutors, and 8 tutors for 96 students

Step-by-step explanation:

100/5=20

36/3=12

96/12=8

Answer:

1/6 hours

Step-by-step explanation:

Since it wants a fraction form all you have to do is subract 1/3 from 1/2

1/2 - 1/3

cross multiply:

3/2-2/3

subtract the numerator but multiply the denominator and simplify if you have to:

1/6

Answer: Option B

Step-by-step explanation:

Answer:

Month since April                                   Number of Ants

          0                                                         10,000

           1                                                         30,000

          2                                                         90,000

          3                                                        270,000

          4                                                         810,000

Every month, the ant population triples so the multiply the previous population by 3 to find out the new population.

0 months from April = 10,000 * 1 = 10,000 ants

1 month from April = 10,000 * 3 = 30,000 ants

2 months from April = 30,000 * 3 = 90,000 ants

3 months from April = 90,000 * 3 = 270,000 ants

4 months from April = 270,000 * 3 = 810,000