Write the equation of the line in slope-intercept form.

Answer:

A = 254.34 in² and circumference = 56.52 inch

Step-by-step explanation:

The attached figure shows a pizza having diameter of 18 inches

Radius of the pizza = 9 inches

The area of the pizza is given by :

[tex]A=\pi r^2\\\\=3.14\times 9^2\\\\=254.34\ in^2[/tex]

The circumference of the pizza is given by :

[tex]A=2\pi r\\\\=2\times 3.14\times 9\\\\=56.52\ inch[/tex]

Hence, this is the required solution.

Answer:

its 7/9

Step-by-step explanation:

you just have to flip the fractions

Answer:

7/9

Step-by-step explanation:

Flip the fraction

Answer:

t = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

0.5t = 0.2 + 0.4t

Step 2: Solve for t

Answer:

c.153 degrees

Step-by-step explanation:

hope it helps

Linear pairs are supplementary

Answer:

10

Step-by-step explanation:

[tex]1 \frac{1}{4} \times 8 = 10[/tex]

Answer:

10 pounds.

Step-by-step explanation:

1 * 8 + 1/4 * 8

= 8 + 2

= 10 pounds.

Answer:

84in

Step-by-step explanation:

84in

Answer:

the answer is %25

Step-by-step explanation:

I'm going to refer to the two separate triangles in this problem by their missing angles. So the smaller triangle is triangle 1, and the larger triangle is triangle 2.

Let's work on triangle 1 first.

We can easily find the supplementary angle to the 115 degree angle in the middle there, which is in triangle 1.

180 - 115 = 65

Now that we know two of the angles in the triangle, and we know that the sum of the interior angles in a triangle is 180, we can find our missing angle 1.

80 + 65 + <1 = 180

145 + <1 = 180

<1 = 35 degrees

Now let's go ahead and move on to triangle 2.

We can again find the supplementary angle to the 115 degree angle in the middle there, which is in triangle 2 also.

180 - 115 = 65

Then, we can use the same principle as we did with triangle 1 to find our missing angle 2 in triangle 2.

85 + 65 + <2 = 180

150 + <2 = 180

<2 = 30 degrees

Hope this helps!! :)

Answer:   nonexperimental study

Instead, this is a survey

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

Explanation:

We have a survey being conducted because the researchers are asking the students the questions. It's not an experiment because the students aren't being broken up into two groups (control group vs treatment group) to see the difference between the two if any.

The top angle is the same as the bottom angle, since they are vertically opposite angles.

b+20=40

b=40-20

b=20

It is also 20 degrees.

Answer:

Step-by-step explanation:

angle b+20 degree=40 degree(being vertically oppoite angles)

angle b=40-20

angle b=20

therefore angle b=20 degree.

Answer:

A) 9/2x3/8

Step-by-step explanation:

Answer:

$15,264 cost amount on new advertising.

Shown as new equation that includes (original + new customer base)

n3=15264a

Step-by-step explanation:

First we have to find original amount of customers as 3 represents a multiple of n

n3=13824a

n3 means n x 3 then customer base is one third

= 1/3 x 13,824  = 4608 original customers per year

= 4608 original customers +480 new customers

4608 + 480 = 5088 total orig+initial  customers

5088 x 3 = 15264 cost

= ($)15,264 cost

new equation

n3=15264a

Answer:

Volume of regular pentagonal prism = 1.72 cm³ (Approx.)

Step-by-step explanation:

Given:

Side of regular pentagonal prism = 1 cm

Height of regular pentagonal prism = 1 cm

Find:

Volume of regular pentagonal prism

Computtaion:

Volume of regular pentagonal prism = (1/4)[√5(5+2√5)]a²h

Volume of regular pentagonal prism = (1/4)[√5(5+2√5)](1)²(1)

Volume of regular pentagonal prism = (1/4)[√5(5+2√5)]

Volume of regular pentagonal prism = (0.25)[√5{5+4.472}]

Volume of regular pentagonal prism = (0.25)[√5{9.472}]

Volume of regular pentagonal prism = (0.25)[√47.36]

Volume of regular pentagonal prism = (0.25)[6.8818]

Volume of regular pentagonal prism = 1.72045

Volume of regular pentagonal prism = 1.72 cm³ (Approx.)

Answer:

217.96 or 218.0 in Big Ideas Math

Step-by-step explanation:

volume of the whole prism - smaller inner prism

Bigger Prism (apothem = 4, height = 6)

360/5 = 72   72/2 = 36

4 · tan (36) = 2.906

2.906 · 4 = 11.6247

11.6247 · 5 = 58.1234  ← The area of the Pentagon

58 · 6 = 348.740 ← The Bigger Prism Volume

Smaller Prism (apothem = 3, height = 4)

Keep in mind that the bottom, sides, and top of the box is one centemeters thick ⇒ smaller pentagon ⇒ (apothem = 4-1, height = 6 - 2)

3 · tan (36) = 2.1796

2.1796 · 3 = 6.5389

6.5389 · 5 = 32.6944  ← small Pentagon Area

32.6944 · 4 = 130.7777  ← Small Pentagon Prism Volume

Final Step

Area of big prism - small prism

348.74041 - 130.7777 = 217.9627

Round to the nearest tenth ⇒ 218.0

Answer:

5

Step-by-step explanation:

See the image below:)

Answer:

1.

In triangle ∆AFD ,∆BGD ,∆CHD

<AFD=<BGD=<CHD

[being corresponding angle]

<DAF=<DBG=<DCH

[being corresponding angle]

<D is common for all.

So

∆AFD ~∆BGD ~∆CHD

[By A .A .A. axiom]

look

again

at picture pasted

By AAA axiom ∆AFD , ∆BGD , ∆CHD are similar with each other.

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.

a). In ΔAFD, ΔBGD, ΔCHD

∠AFD = ∠BGD = ∠CHD [being corresponding angle]

∠DAF = ∠DBG = ∠DCH  [being corresponding angle]

∠D is common for all.

So ∆AFD ~∆BGD ~∆CHD   [By A .A .A. axiom]

Learn more about similarity of triangle from:

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Answer: 3900[tex]\pi[/tex] ft^3

if you use the formula on how to find the volume of a cone

V=[tex]\pi[/tex]r^2*h/3

you will insert 30 where the r is, 13 in where h is, after you just solve that and your answer would be 3900[tex]\pi[/tex] ft^3

9514 1404 393

Answer:

  600, 1400, 3000, and 5000

Step-by-step explanation:

The profit equation can be simplified.

  P = 350n -(150n +1000)

  P = 200n -1000 . . . . . . . . . collect terms

  P = 200(n -5) . . . . . . . . . . . factor out 200

For the given numbers n, we have ...

  P = 200({8, 12, 20, 30} -5) = 200{3, 7, 15, 25} = {600, 1400, 3000, 5000}

Profits for 8, 12, 20, and 30 customers are 600, 1400, 3000, and 5000, respectively.

Area of complete triangle= 1/2 ×6 ×9 = 27 Sq Unit.

Area of rectangle inside triangle = 2× 5 = 10 sq unit.

area of the gray part of the triangle =Area of triangle - Area of rectangle = 27-10 = 17 Sq unit

Gray area = Big triangle area - white

rectangle area

Gray area = 1/2 × 6 × 9 - 2 × 5

Gray area = 3 × 9 - 10

Gray area = 27 - 10

Gray area = 17

Answer:

Length = 9 units

Area = 135 square units

Area = Length x Breadth

135 = 9 x Breadth

Breadth = 15units

[tex]By \ pythagorean \ theorem\\\\Diagonal ^ 2= Length^2 + Breadth^2\\\\[/tex]

               [tex]= 9^2 + 15^2 \\= 81 + 225 \\=306[/tex]

[tex]Diagonal = \sqrt{306} = 17.49[/tex]

Diagonal = 17.5 units

Rounding to the nearest tenth of a unit, the length of the diagonal of the rectangle is approximately 17.5 units.

To find the length of the diagonal of a rectangle, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the length of the rectangle is given as 9 units, and we need to find the length of the diagonal.

Let's assume the width of the rectangle is 'w'.

We know that the area of a rectangle is given by the formula: length × width = area.

So, 9w = 135

Dividing both sides of the equation by 9, we get: w = 15.

Now, we have the length (9 units) and the width (15 units) of the rectangle.

Using the Pythagorean theorem, we can find the length of the diagonal (d):

d² = 9² + 15²

d² = 81 + 225

d² = 306

Taking the square root of both sides, we get:

d ≈ √306 ≈ 17.5

To learn more about the Pythagoras theorem;

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Answer:

The answer is D 763.

Step-by-step explanation:

Don't have an explanation

A chicken farmer needs to sell 763 crates to realize a profit of $11,300.

Equation

A statement of equivalence between two expressions containing variables and/or numbers is called an equation. In essence, equations are questions, and attempts to discover systematic answers to those questions have spurred the development of mathematics.

Equation according to the given information

Based on the given information describe the problem is equation.

(34.24 × x) - (7312 + 9.86x) = 11300

34.24x - 7312 - 9.86x = 11300

34.24x - 9.86x = 11300 + 7312

24.38x = 18612

x = 18612 / 24.38

x = 763

Hence chicken farmers need to sell 763 crate

Learn more about equations here: brainly.com/question/25876690

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Answer:

length and width = 12,9

Step-by-step explanation:

Answer:

1,406

Step-by-step explanation:

p = a(1 + r)^t

p = 1,236(1.013)^10

p = 1,406.4131692427

p = 1,406

Answer:

27.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

110/4 is 27.5

Answer:

150

Step-by-step explanation:

15 times 8 = 120

14-8 = 6

6 times 5 = 30

150

Answer:

Sterling Corporation

a. Arguments to support the minority shareholders' claim include:

1. If there is a provision to this effect in the Shareholders' agreement,

2. If the minority shareholders can prove that Wilcox oppressed the minority shareholders by selling off his shares in the corporation, and

3. If the Shareholders' agreement forbids Wilcox from selling off his shareholdings.

b. The arguments to reject the minority shareholders' claim include:

1. As the majority shareholder, Wilcox dictates the direction of firm until the sale-off.

2. Wilcox is within his rights to sell his shares to Conrad.

3. Wilcox does not oppress the minority shareholders with the sale to Conrad.

c.  Wilcox should prevail.  Apparently, he did not act illegally or contrary to agreement.

Step-by-step explanation:

Shareholding of Wilcox (chief executive officer and chairman of the BOD) = 60%, which is > 50%.

Shareholding of Minority shareholders = 40%, which is <50%

Market price per share of Sterling Corporation = $22

Selling price of Wilcox's shares = $29

Excess of the market price = $7 ($29 - $22)

Answer:

Arc length = 6.28 units

Step-by-step explanation:

[tex]Arc \ length = 2 \pi r \frac{ \theta}{360} = 2 \times \pi \times 9 \times \frac{40}{360} = 2\pi = 6.28[/tex]

9x =90

x=90/9

=10

4×10= 40

5×10=50

Answer:

Step-by-step explanation:

GIVEN:    dx / dt=5 in./min.  and  dy/ dt=−6 in./min.

FIND:    dz/ dt when x=12 in. and y=9 in.

Use the Pythagorean Theorem to get the equation

x2+y2=z2

Now differentiate this equation with repect to time t getting

D{x2+y2}=D{z2}   ⟶

2xdxdt+2ydydt=2zdzdt   ⟶  

(Multiply both sides of the equation by 1/2.)

x dx/ dt+y dy/ dt= z dz/ dt              (DE)

Now let x=12 and y=9 and solve for z using the Pythagorean Theorem.

tex2html_wrap_inline125

122+92=z2   ⟶   z2=225   ⟶   z=15

Plug in all given rates and values to the equation (DE) getting

(12)(5)+(9)(−6)=(15)dz/ dt   ⟶

6=15dzdt   ⟶

dz/ dt=615=25 in/min.

Hope this answer helps you :)

Have a great day

Mark brainliest