9.


A. z – 9

B. z + 15

C. z – 15

D. z + 90

Answer:

1) C: 113 m

2) C: 572.3 m²

3) B: 61.2 cm²

4) A: $2.2

6) C: 756 yd³

8) D: 3402 mm²

9) A: 25x + 125 < 500

Step-by-step explanation:

1) Formula for circumference of circle is;

C = 2πr

radius; r = 18 m

C = 2π × 18

C ≈ 113 m

2) Formula for area of a circle is;

A = πr²

Here we have diameter; d = 27

Thus, radius; r = 27/2 = 13.5 m

A = π × 13.5²

A = 3.14 × 13.5²

A ≈ 572.3 m²

3) The diameter of the semicircle is parallel to the base of the rhombus. Thus, diameter; d = 7 cm

Thus, r = 7/2 = 3.5 cm

Area of semi circle = ½πr² = ½ × π × 3.5² = 19.2 cm²

Area of rhombus = base x height = 7 × 6 = 42 cm²

Total area of object = 42 + 19.2 = 61.2 cm²

4) Cost of banana per pound = $0.4 per pound

Amount of banana bought = 5.5 pound

Amount spent = 0.4 × 5.5 = $2.2

6) Volume of triangular prism is;

V = ½bhl

b = 12 yd

h = 7 yd

L = 18 yd

Thus;

V = ½ × 12 × 7 × 18

V = 756 yd³

8) Volume of cuboid at the base;

V1 = lbh = 25 × 9 × 9 = 2025 mm²

Volume of cuboid at top;

V2 = 9 × 9 × 9 = 729 mm²

Volume of triangular prism;

V3 = ½bhl = ½ × 9 × 9 × (25 - 9) = ½ × 81 × 16 = 648 mm²

Total volume = 2025 + 729 + 648 = 3402 mm²

9) Cost per class; $25 per class

Charge for the supplies = $125

He doesn't want to spend more than $500.

Thus;

25x + 125 < 500

Answer:

x=2

Step-by-step explanation:

[tex] - 2 + 4 = 2[/tex]

Answer:

9:20 AM

Step-by-step explanation:

Answer: 9:20

Step-by-step explanation:  7:35 + 1 hour and 45 minutes = 9:20

Answer:

8:9

Step-by-step explanation:

24 ÷ 3 = 8

27 ÷ 3 = 9

Have a good day :)

Answer:

(x-2) (x+2)

Step-by-step explanation:

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

Answer:

14/24 is 7/12 dunno if this helps

Step-by-step explanation:

Answer:

Yes it is

Step-by-step explanation:

Because 4 ×-2=-8

Answer:

32.9 degrees

Step-by-step explanation:

cos (x) = 21/25

cos^1 (21/25)

= 32.856 --> round to 32.9

Answer:

32.9°

Step-by-step explanation:

You can see that relative to the angle that is x, we are given the side lengths that are adjacent and the hypotenuse. The trig function associated with this is cosine, and we get:

cos(x) = adj / hyp --> 21 / 25

To find x as the angle, we use the function arccosine,

x = arccosine(21/25)

x = 32.85988038°

And this rounds up to 32.9°

Answer:

C = 25 + 3n

Step-by-step explanation:

Andre has a summer job selling magazine subscriptions.

We are told that:

Andy earns $25 per week plus $3 for every subscription he sells.

Let us represent

C = Total amount of money he makes this week

n = the number of magazine subscriptions Andre sells this week.

Hence, Our Algebraic expression =

C = $25 + $3 × n

C = 25 + 3n

Answer:

64

Step-by-step explanation:

add them all up firstly to get 701

then divide by how many are there (11)

then you will get 63.72

and you need to round up since the decimal is a 7

which that gives you 64

Answer:

5) 119 degrees

6) 25 degrees

7) 45 degrees

8) 115 degrees.

Answer:

[tex]Sin A = \frac{a}{c}\\\\Cos A = \frac{b}{c} \\\\Tan A = \frac{a}{b} \\\\\\Sin B = \frac{b}{c} \\\\Cos B = \frac{a}{c}\\\\Tan B =\frac{b}{a}[/tex]

Formulas

[tex]Sin\theta = \frac{Opposite}{Hypotenuse}\\\\Cos\theta = \frac{Adjacent}{Hypotenuse} \\\\Tan \theta =\frac{Opposite}{Adjacent}[/tex]

Answer:

x ={-3, -4, -5 , -6, -7, ...}

Answer:

they look like their curved at about  70? 65? and they would be the same

Step-by-step explanation:

Answer: Both C and D are 76

Step-by-step explanation:

Because this is a isosceles triangle both C and D are the same. Subtract 28 from 180 and you get 152. So D and C combined equals to 152 so divide that by 2 an you get 76.

Answer:

Roots of the function are x = 2, 5.

Step-by-step explanation:

Roots of a function are defined by the x-intercepts of the graph.

From the given graph in the question,

x-intercepts → x = 2, 5

Now confirm it by solving the equation algebraically,

x² - 7x + 10 = 0

x² - 5x - 2x + 10 = 0

x(x - 5) - 2(x - 5) = 0

(x - 5)(x - 2) = 0

x = 2, 5

Therefore, roots of the function are x = 2, 5.

Answer:

Uh, sure! :)

Step-by-step explanation:

Answer:

A. y ≥ 2x – 2

Step-by-step explanation:

The difference in the height of the two trees is 15 feet

The height of the zip line on both trees is given as:

Height 1 = 25 feet

Height 2 = 10 feet

Calculate the difference in both heights

ΔHeight  = Height 1 - Height 2

This gives

ΔHeight = 25 - 10

ΔHeight = 15

The question cannot be solved further because the horizontal distance between the trees is not given.

Read more about slope at:

https://brainly.com/question/3493733

_

z = a-bi

i think this is the answer

Answer:

Step-by-step explanation:

Where is the diagram???

Answer:

c

Step-by-step explanation:

Answer:

D confirm bro............

Answer:

Semicircle

Step-by-step explanation:

As we can see, the arc is bounded by the chord MO

since the chord passes through the center of the circle, we have it that the chord is a diameter

Mathematically, an arc bounded by a diameter represents half of a circle

So we can conclude that the arc MNO in circle C is a semicircle

Answer: 85.2

Step-by-step explanation:

The answer is correct because, to find your grades your bassicaly just looking for the mean. To find the mean you have to take all the numbers and add them after you do that you have to divide how ever much numbers you added. So in this case we do 90 plus 76 plus 88 plus 80 plus 92. That equals 426, and since we added five numbers we divide the answer by 5 and that equals 85.2.

Hope This Helps!

Answer:

[tex]150 km^{2}[/tex]

Step-by-step explanation:

Use the surface area equation of cylinder: [tex]A = 2\pi rh + 2\pi r^{2}[/tex]

The diameter is 6 km but you need the radius for the formula, so you divide the diameter by 2.

6÷2 = 3 --> r = 3

You already know h, aka the height.

Plug everything into the equation.

Answer:

150.72

Step-by-step explanation:

im usin 3.14 as pi btw

the term net means like imagine you unfold the shape like the walls of the shape are paper. its now a 2d net, which includes a rectangle and two circles.

so, surface area of a circle is pi r^2 so 3.14 * 3 * 3 = 28.26

times two cause theres two circles; top and bottom :3

56.52 = 28.26 * 2

rentangle surface area = h*l

the height of the rectangle is 5 and the length is the circumference of the circle

circumference is 2*3.14*r, which in this problem, is 3

2*3.14*3 = 18.84

now, h*l is 18.84*5 = 94.2

94.2 + 56.52 = 150.72

Answer:

Below.

Step-by-step explanation:

As the 2 sides are both cut in half by the horizontal line,  7x-1 = 1/2 * the base line, so:

2(7x - 1) = 48

14x - 2 = 48

14x = 50

x = 50/14

= 25/7.

Answer:

x = [tex]\frac{25}{7}[/tex]

Step-by-step explanation:

A segment joining the midpoints of 2 sides of a triangle is half the length of the third side, that is

7x - 1 = [tex]\frac{1}{2}[/tex] × 48 = 24 ( add 1 to both sides )

7x = 25 ( divide both sides by 7 )

x = [tex]\frac{25}{7}[/tex]