Considering recurring decimals, the fraction 20⁄3 can be expressed as
7.77
6.66
3.66
9.88

Answer:

Lateral Surface Area = 472 m²

Total Surface Area = 486m²

Step-by-step explanation:

The above prism is a Triangular prism

a) Lateral Surface Area = Perimeter of the Base × H

H = 29m

Perimeter of the Base = (7m + 7.28m + 2m)

= 16.28m

Lateral Surface Area = 16.28m × 29m

= 472.12 m²

Approximately to the nearest whole number = 472 m²

b) Total Surface Area

Triangular prism =

2 Triangles and 3 Rectangles

1st Triangle = 1/2 × base × Height

= 1/2 × 2m × 7m

= 7m²

2nd Triangle = 1/2 × base × height

= 1/2 × 2m × 7m

= 7m²

1st Rectangle = Length × Width

= 29m × 2m = 58m²

2nd Rectangle =

Length × Width

= 29m × 7.28m = 211.12m²

Length × Width

= 29m × 7m = 203m²

Total surface area = 7m² + 7m² + 58m² + 211.12m² + 203m²

= 486.12m²

Approximately to the nearest whole number = 486 m²

Option A is the correct option

Answer:

The correct answer is D. The debt will never be completely repaid.

Step-by-step explanation:

Since the question refers to a credit card debt on which the minimum monthly payment is paid for an indefinite period of months, in this case the debt will never be fully repaid, since the minimum payments will be constantly added values as interest, which will increase the value of the debt due to compound interest.

Answer:

c. 12 years

Step-by-step explanation:

according to the book, it says it would take 12 years to get it paid off with just the minimum payments

Answer:

10+3pi

Step-by-step explanation:

The perimeter of of the shaded region is

AC+CT+marcSBT+SA

*Finding AC

The diagonals of a rectangle are equal is measurement. Since RB is a radius of the circle, then RB is 6. Since AC and RB are both diagonals of the rectangle, then AC is also 6.

*Finding CT

CT=RT-RC where RC is the width of the rectangle

Also RT is a radius so we have that

CT=6-RC

*Finding marcSBT

The circumference of a whole circle is 2pi*r.

We have a quarter of this with r=6.

1/4*2pi(6)

1/4*12pi

3pi

*Finding SA

SA=RS-AR

RS is a radius of the circle and AR is the length of the rectangle.

So we have that this can be rewritten as

SA=6-AR

Let's put these parts together:

6+6-RC+3pi+6-AR

Simplifying:

18-RC-AR+3pi

18-(RC+AR)+3pi

18-8+3pi (Remember length plus width equal 8)

10+3pi

Given:

A cube has square sides with area [tex]x^2+24x+144[/tex].

To find:

The expression that represents the surface area of the cube.

Solution:

We have

The area of each side of cube = [tex]x^2+24x+144[/tex]

Number of sides of a cube = 6

We know that, the total surface area of the cube is the product of number of sides of the cube and the area of each side. So, the total surface area of the cube is

[tex]SA=6(x^2+24x+144)[/tex]

[tex]SA=6(x^2)+6(24x)+6(144)[/tex]

[tex]SA=6x^2+144x+864[/tex]

Hence, the expression that represents the surface area of the cube is [tex]6x^2+144x+864[/tex].

Answer:

Point Form:

(1,−2)

Step-by-step explanation:

Equation Form:

x=1 , y=−2

glad to be of assistance

Answer:

C

Step-by-step explanation:

In a right triangle, the side opposite the right angle is the largest side as the right angle represents the largest angle in the triangle. Therefore, as 17.5 is opposite the right angle, we can say that AB²+10²=17.5², and √(17.5²-10²)=AB = 14.4

Using sohcahtoa, we can establish that

sin(∠C) = opposite/hypotenuse = 14.4/17.5, and

arcsin(14.4/17.5) = ∠C = 55°

Because the angles in a right triangle add up to 180 degrees, we can say that ∠A+∠B+∠C = 180°, so ∠A + 90 + 55 = 180 and ∠A = 35°

x = 16°

Step-by-step explanation:

The sum of angles in a straight line = 180°

Therefore

5x + 100° = 180°

5x = 180° - 100°

5x = 80°

x = 80/5

x = 16°

Find the distance of each trip:

68 km / 34 trips = 2 km per trip

Divide total distance by distance per trip:

348 km / 2 km per trip = 174 trips

Answer: 174 trips

Answer:

SR = 28

Step-by-step explanation:

Recall: The corresponding side lengths of any two similar polygons are proportional.

Since the two polygons given are similar, it implies that:

SR/DC = PQ/AB

SR = ?

DC = 20

PQ = 21

AB = 15

Plug in the values

SR/20 = 21/15

Solve for SR. Cross multiply

SR*15 = 21*20

SR*15 = 420

Divide both sides by 15

SR = 420/15

SR = 28

Answer:

can u plz rewrite the question

Answer:

$26750

Step-by-step explanation:

1/5 * (total salary) = 5350

So, 5*5350 = total salary = 26750

Answer:

39

Step-by-step explanation:

Answer:

14 5/24

Step-by-step explanation:

Ariana's rode the bus 5 3/8 miles to the mall

She rode 2 3/4 miles to her friends place

Then she rode anrhe 6 1/12 miles back home

Therefore the total distance can be calculated as follows

= 43/8 +11/4 + 73/12

= 5456/384

= 341/24

= 14 5/24

Hence the total distance is 14 5/24 miles

Answer:

See below.

Step-by-step explanation:

In a rhombus, all sides are congruent.

In a rhombus, opposite angles are congruent, and consecutive angles are supplementary.

XW = 4 cm

WZ = 4 cm

ZY = 4 cm

YX = 4 cm

m<X = 100 deg

m<Z = 100 deg

m<W = 80 deg

m<Y = 80 deg

4.26

[tex]12 \times 0.4 = 4.8 \\ [/tex]

Answer:

$1865

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Answer:

Step-by-step explanation:

Answer:

18.08 million people increase per year

Step-by-step explanation:

870.5 to 960.9 difference in 5 years.

960.9- 870.5 divided by 5 is your formula

comes to a 18.08 million people increase per year

no agruing this answer

Answer:

a = 45 millimeters

Step-by-step explanation:

In order to solve this, we need to know that for right-angled triangles the following is true:

[tex]c^{2} = a^{2} + b^{2}[/tex] (where c is the hypotenuse and "a" and "b" are the legs)

From the formula above we can conlude that...

[tex]a = \sqrt{c^{2} - b^{2} }[/tex]

Now we just substitute the variable that we know and get that...

[tex]a = \sqrt{c^{2} - b^{2} }\\a = \sqrt{75^{2} - 60^{2} } \\a = \sqrt{5,625 - 3600} \\a = \sqrt{2025} \\a = 45[/tex]

Therefore a = 45millimeters.

Answer:

QR = 65.4 m

Step-by-step explanation:

a. Apply Law of Cosines to find QR:

p² = q² + r² - 2qr × Cos P

p = QR = ?

q = PR = 150 m

r = PQ = 120 m

P = 25°

Plug in the values

p² = 150² + 120² - (2)(150)(120) × Cos(25°)

p² = 22,500 + 14,400 - 36,000 × 0.9063

p² = 36,900 - 32,626.8

p² = 4,273.2

p = √4,273.2

p ≈ 65.4 m (nearest tenth)

QR = 65.4 m

Answer:

13 + 3i

Step-by-step explanation:

I just used a app for this problem.

Answer:

[tex]13 + 3i[/tex] is the sum of the numbers

Step-by-step explanation:

[tex]13 + 3i[/tex]

[tex]15 - 6i - 2 + 9i[/tex]  → Sum

collect like terms

[tex](15 - 2) + ( - 6i + 9i) =13 + 3i[/tex]

4x(2x + 3) .......

hope it helps

Answer: b= 4x( 2x + 3)

Step-by-step explanation:

8x2 + 12x = (4x) × (2x) + (4x) × (3) ; we factor 4x out.

= 4x( 2x + 3)

Answer:

C

Step-by-step explanation:

The option that has the same range than f(x) is:

[tex]g(x) = -\sqrt{x + 3} + 8[/tex]

Here we first have the function:

[tex]f(x) = -2*\sqrt{x - 3} + 8[/tex]

Remember that the square root only can be evaluated arguments equal or larger than zero.

So the minimum value of x that we can use is x = 3.

[tex]f(3) = -2*\sqrt{3 - 3} + 8 = 8[/tex]

And as x increases, the outcome will decrease (because the square root is being mulitiplyed by a negative number). So we can conclude that the range is y ≤ 8.

So, we need another function that has a maximum value in the range equal to positive 8, so we need to have a constant equal to 8, and a square root being multiplyed by a negative number.

The option that meets these two conditions is the third one:

[tex]g(x) = -\sqrt{x + 3} + 8[/tex]

If you want to learn more about domains and ranges, you can read:

https://brainly.com/question/10197594

Answer:

i just don't known

Step-by-step explanation:

1.20

Answer:

Imaginary: 20i

Real: 26

Step-by-step explanation:

Hope this helped.

Answer:

a(n) = -20 + 3(n - 1)

Step-by-step explanation:

a(n) = -20 + 3(n - 1)