Find the surface area of the cylinder represented by the trunk of the tree.

9514 1404 393

Answer:

  659.52 cm^2

Step-by-step explanation:

In order to find the surface area of this figure, we need to know the dimensions of the base. If we assume the base is square, then the distance from its center to the center of one edge is half the dimension of one side of the base.

That center-to-edge distance (x) can be found from the given dimensions using the Pythagorean theorem.

  x^2 + (15.4 cm)^2 = (17 cm)^2

  x^2 = (289 -237.16) cm^2 = 51.84 cm^2

  x = √51.84 cm = 7.2 cm

This means the edge length of the prism base is 2×7.2 cm = 14.4 cm.

__

The total surface area of the square prism is ...

  A = b^2 +2bs . . . where b is the edge length of the base, s is the slant height

  A = (14.4 cm)^2 + 2(14.4 cm)(17 cm) = 659.52 cm^2

The total surface area of this square pyramid is 659.52 cm^2.

Answer:

2

Step-by-step explanation:

Use the dot plot to make a list of the numbers it represents, sorted from smallest to largest.

0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 9

There are 23 numbers in this list. The median is the one in the middle, so there will be 11 numbers to the left of it and 11 to the right.

The median is 2

Angle A = 54 degree

Angle B = 72 degree

Angle C = 54 degree

It is a triangle, so the total of angle is 180 degree

Find X

8x + 6x + 6x = 180

20x = 180

x = 180/20

x = 9°

Value of x is 9°

Substitute a score of x for every angle =

Angle A

= 6x

= 6(9)

= 54°

Angle B

= 8x

= 8(9)

= 72°

Angle C

= 6x

= 6(9)

= 54°

#LearnWithBrainly

Answer:

15 - 2x = 3

Step-by-step explanation:

Let x be the amount of days that have passed.

15 - 2x gives the amount at any day number x.

15 - 2x = 3 represents the day when you had 3 bottles left.

Answer:

But Mars has no magnetosphere, and its atmosphere is over 100 times thinner than Earth's atmosphere. The trip to Mars and the stay on Mars will mean extended radiation exposure. Astronauts will need special habitats, suits, and machines that will protect them from radiation, which otherwise could cause cancer.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

x=154°

Step-by-step explanation:

x+126=180 supplementary

x=180-126=54

Answer:

c

Step-by-step explanation:

sheeesh 3 easy

Answer:

5

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Because group B has Pharrell lines

Answer:

she has a total of 140 coins

Step-by-step explanation:

x is coins in total

5/100 times x = 7

0.05 times x = 7

x = 7/0.005

x = 700/5

divide that you get 140

Answer:

Maybe 7.14285714?

Step-by-step explanation:

50% divided by 7?

I'm sorry I just guessed

Answer:

180km

Step-by-step explanation:

1hour48mins =108mins

108÷18=6

6×30=180km

Answer:

17

Step-by-step explanation:

In the figure, angles 1 and 5 are alternate exterior angles. Use the Alternate Exterior ... each pair of alternate interior angles is congruent. ... 1 and 3. SOLUTION: If the radiation rays form parallel lines, then ∠1 and ... supplementary; since 3 and 5 are a linear pair, ... ∠8, ∠9 and ∠10, ∠11 and ∠12, and ∠13 and ∠14.

Answer:

4×6=24,4×-6=-24,4×3=12,4×-3=-12,4×

6=24,4×-3=-12

Answer:

the answer you are looking for is B

Answer:

A

Step-by-step explanation:

Its A.....unless im super dum lol

Answer:

x = -1.4

Step-by-step explanation:

-3(x + 4) = 2x - 5

-3x + (-3*4) = 2x - 5

The mistake was in the above equation where -3 should be multiplied with 4.

-3x -12 = 2x -5

5 -12 = 2x+3x

-7 = 5x

x = -7/5 = - 1.4

Answer:

1. (3,-2)

2. (-1, -3)

3. (-4, 5)

4. (2, 5)

Step-by-step explanation:

Answer:

56.25

Step-by-step explanation:

100% of 56.25 is 56.25, therefore 32% of 52.25 equals 18

Answer:

x = 1 and x = 7

Step-by-step explanation:

The given equation is [tex]x^2 - 8x + 7 = 0[/tex].

We need to solve the equation.

It is a quadratic equation whose solution is given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Here, a = 1, b = -8 and c = 7

Put values,

[tex]x=\dfrac{-(-8)\pm \sqrt{(-8)^2-4(1)(7)} }{2(1)}\\\\=\dfrac{8\pm \sqrt{64-28}}{2}\\\\=\dfrac{8\pm 6}{2}\\\\=\dfrac{8+6}{2},\dfrac{8-6}{2}\\\\=7,1[/tex]

So, the values of x are x = 1 and x = 7.

Answer:

A

Step-by-step explanation:

1) multiply 2 for 5w and 15

5w -13 + 2w + 6 + 10w + 30 = P

2) sum the therms with w and the term without it

17w + 23= P

3) add -23 at the two terms

17w + 23 - 23= P - 23

17w = P - 23

4) divide the two terms by 17

w = (P-23)/17

9514 1404 393

Answer:

  93.84

Step-by-step explanation:

The exponential function will be of the form ...

  q = a×b^t

where 'a' is the initial quantity and b is the growth factor per time period t.

If we use decades as the time period, then the growth factor is 1 more than the growth rate of -4%. For the initial value 140, the function is ...

  q = 140×(1 -4%)^t

  q = 140×0.96^t

98 years is 9.8 decades, so the quantity q remaining will be ...

  q = 140×0.96^9.8 ≈ 93.84

The quantity remaining will be 93.84 after 98 years.

Answer:

94.6

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Use the right triangle altitude theorem. The three triangles are right triangles and are similar.

MP/FP = FP/EP

MP/12 = 12/(EM + MP)

MP/12 = 12/(10 + MP)

MP(10 + MP) = 144

MP^2 + 10MP - 144 = 0

(MP + 18)(MP - 8) = 0

MP = -18  or  MP = 8

Since a side length cannot be negative, the answer is MP = 8

Answer: 8

Answer:

Step-by-step explanation:

A ' = (-2, -3)

B ' = (0, -3)

C ' = (-1, 1)

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

Explanation:

To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.

Algebraically, the reflection rule used can be written as

Applying this rule to the three given points will mean....

Point A = (-2, 3) becomes A ' = (-2, -3)

Point B = (0, 3) becomes B ' = (0, -3)

Point C = (-1, -1) becomes C ' = (-1, 1)

The diagram is provided below.

Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.

9514 1404 393

Answer:

  b.  90 ft

Step-by-step explanation:

The opposite and adjacent sides of the relevant triangle are given.

  Tan = Opposite/Adjacent

  tan(42°) = h/(100 ft)

  h = (100 ft)tan(42°) ≈ 90.04 ft

The statue must be about 90 ft tall.

Answer:

a. 100 ft

b. 90 ft.

c. 111 ft

d. 67 ft

e. 74 ft

its b.90 ft.