What are the numerical measures of each angle in the diagram? ∠1 and ∠3 measure degrees. ∠2 and ∠4 measure degrees.

Answer:

Banana made=3.22

Pumpkin made=7.86

Rocky road ice cream made=1.89

Step-by-step explanation:

From the question we are told that

1st year sales(banana, pumpkin, and rocky road ice cream) [tex]S_1= 13\%[/tex]

2nd year sales:[tex]S_2=18.1\%[/tex]

Rocky road sales doubled

Banana sales increased by 50%

Pumpkin sales increased by 20%

Rocky road ice cream had one less percent then banana

Let

Banana =x

Pumpkin=y

Rocky road ice cream=z

Generally the first year equation is given mathematically as

[tex]x+y+z=13......(1)[/tex]

Generally the second year equation is given mathematically as

100% increase in Rocky road ice cream sales()z i.e double

[tex]2*z=2z[/tex]

50% increase in banana ice cream sales()x

[tex]=>1*0.50=0.5\\=>0.5+1x=1.5x[/tex]

20% increase in pumpkin(y)

[tex]=>1*0.20=0.2\\=>0.2+1x=1.2y[/tex]

Therefore second year equation is given as

[tex]1.5x+1.27y+2z=18.1.....(2)[/tex]

Generally where rocky road ice cream had one less percent of sales than the banana ice cream the equation is given as

[tex]1.5x-2z=1........(3)[/tex]

Therefore combining the three equations

x+y+z=13

1.5x+1.27y+2z=18.1

1.5x-2z=1

matrix form

[tex]\begin {bmatrix}1 & 1& 1 & 13\\1.5 & 1.2 & 2 & 18.1\\1.5 & 0 & -2 & 1\end{bmatrix}[/tex]

Generally the determinant of the first three columns

[tex]\triangle=1.8[/tex]

Solving with Crammers Rule by solving Determinant when;

Column 4 replace column 1

[tex]\triangle_1=5.8[/tex]

Column 4 replace column 2

[tex]\triangle_2=14.15[/tex]

Column 4 replace column 3

[tex]\triangle_3=3.4[/tex]

Therefore x is given my

[tex]x=\frac{\triangle_1}{\triangle}[/tex]

[tex]x=\frac{5.8}{1.8}[/tex]

[tex]x=3.22[/tex]

Therefore y is given my

[tex]y=\frac{\triangle_2}{\triangle}[/tex]

[tex]y=\frac{14.15}{1.8}[/tex]

[tex]y=7.86[/tex]

Therefore z is given my

[tex]z=\frac{\triangle_3}{\triangle}[/tex]

[tex]z=\frac{3.4}{1.8}[/tex]

[tex]z=1.89[/tex]

Therefore

Banana made=3.22

Pumpkin made=7.86

Rocky road ice cream made=1.89

Given:

Volume of a right circular cone = 16 cubic inches

Radius of the cone = 1.5 inches.

To find:

The height of the cone.

Solution:

The volume of a cone is:

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Where, r is the radius and h is the height of the cone.

Putting [tex]V=16,r=1.5,\pi=3.14[/tex] in the above formula.

[tex]16=\dfrac{1}{3}(3.14)(1.5)^2h[/tex]

[tex]48=(3.14)(2.25)h[/tex]

[tex]48=7.065h[/tex]

Divide both sides by 7.065.

[tex]\dfrac{48}{7.065}=h[/tex]

[tex]6.794=h[/tex]

[tex]h\approx 7[/tex]

Therefore, the height of the cone is 7 inches.

Answer:

i got u its UMMMMMMMMMMMMMMMMMMMMM nvm

Step-by-step explanation:

Answer:

[tex]-8[/tex]

Step-by-step explanation:

Just take away parentheses.

Answer:

#1 is Geometric

the common ratio is 2

#2 is Arithmetic

the common difference is 6

Answer:

20 total salads

Step-by-step explanation:

If garden salads make up 25%, and they sold 5 garden salads, you have to do 5 times 4 because 25% times 4 is 100% of the chart.

Answer:

A

Step-by-step explanation:

49y² - x² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

49y² - x²

= (7y)² - x²

= (7y - x )(7y + x) → A

Answer:

[tex]x=21.6[/tex]

Step-by-step explanation:

Use the Pythagorean theorem to solve this problem. The Pythagorean theorem states the following,

[tex]a^2 + b^c = c^2[/tex]

Where (a) and (b) are the legs or the sides adjacent to the right angle, and (c) is the hypotenuse or the side opposite the right angle.

Use the Pythagorean theorem in the right triangle with legs (15) and (18),

[tex](15)^2+(18)^2=c^2\\\\225 + 324=c^2\\\\549=c^2\\\\\sqrt{549}=c[/tex]

Use the Pythagorean theorem again in the right triangle with the legs (18) and (x)

[tex](x)^2+(18)^2=c^2\\\\\sqrt{x^2+324}=c[/tex]

Use the Pythagorean theorem one final time in the larger triangle,

[tex](\sqrt{x^2+324})^2+(\sqrt{549})^2=(x+15)^2\\[/tex]

Simplify, remember that anything to the power (2) is equal to the base (number under the exponent) times itself,

[tex]x^2+324+549=x^2+30x+225[/tex]

[tex]x^2+873=x^2+30x+225[/tex]

Inverse operations,

[tex]x^2+873=x^2+30x+225\\-x^2\\\\873=30x+225\\-225\\\\648=30x\\/30\\\\\frac{648}{30}=x\\\\21.6=x[/tex]

Answer:

It is an rational

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the smaller integer be x

x+x+2 =34

2x+2=34

2x=32

x=16

Smaller even integer = 16

Larger even integer = 16+2 = 18

Answer = 16,18

Answer:

The answer for M should be 28 because 28 plus 4 is 32 and if you take 5 away from it it will be 27 so M equals 28 ( I hope this helps. )

Answer:

5 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1 )^2 }[/tex]

with (x₁, y₁ ) = (6, 4) and (x₂, y₂ ) = (3, 8)

d = [tex]\sqrt{(3-6)^2+(8-4)^2}[/tex]

   = [tex]\sqrt{(-3)^2+4^2}[/tex]

   = [tex]\sqrt{9+16}[/tex]

    = [tex]\sqrt{25}[/tex]

    = 5

Answer:

5

Step-by-step explanation:

Answer:

The unit price would be $5 per pizza

Step-by-step explanation:

Answer:

x = 12°

Step-by-step explanation:

The measures of the exterior angles of a hexagon are x°, 2x°, 5x°, 6x°, 7x°, and 9x°. Solve for x.

The sum of the exterior angles of a polygon sums up to 360

An hexagon is a 6 - sided polygon

(x + 2x + 5x + 6x + 7x + 9x) = 360

30x = 360

Divide both sides by 30

x = 360 / 30

x = 12

Hence, x = 12°

Answer:

25

Step-by-step explanation:

That is the answer, 25

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

18 - 2n2  We are gonna be evaluating

Step 2

18 - 2n^2  Substitute n for 3

18-2(3^2)

Step 3

18-2(3^2)  simplify

0

So therefore, your answer is 0

Hope this helps

Answer:

C

Step-by-step explanation:

Answer:

b) 11.7

Step-by-step explanation:

Answer:

9.3

Step-by-step explanation:

The real answer is 9.33333 but I did as you said and rounded to the nearest tenth.

I got this answer by adding up 6, 11, 14, 4, 8, 8, 10, 9, 14 and I got 84. Then I divided 84 by 9 and got 9.33333.

Sorry if I'm wrong.

Please mark me as Brainliest.

Answer:

Use dynamic geometry software to draw any triangle and label it △ABC. a. Dilate △ABC using a scale factor of 2 and a center of dilation at the origin to form ... the scale factor is k = 3. —. 2 . So, the dilation is an enlargement. b. Because. CP′ ... Graph △ABC with vertices A(2, 1), B(4, 1), and C(4, −1) and its image after a.

Step-by-step explanation:

Answer:

x is 5 cm as the entire base is 10 cm, so 10/2 = 5

Answer:

true

Step-by-step explanation:

Answer:

Formula for tan is opposite over adjacent, so do arctan of 150/100 to get 56.30993247 :))

Step-by-step explanation:

Answer:

B. 34

Step-by-step explanation:

sohcahtoa

tan x = 100/150

tan x = .667

x = 33.7

Answer:

122

Step-by-step explanation:

The first thing to notice is that <EBC and <ABE form a straight line. This means they are a linear pair, also known as complementary. So, when they are added together they will equal 180 degrees. Therefore, to solve, set up and solve the algebraic equation, 180=58+x. When 58 is subtracted from both sides, you are left with x=122.

Answer:

7/3

Step-by-step explanation:

no brainlyest i see how it is -_-

Answer:

42.86%

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

7 cups

Step-by-step explanation:

1 pint is 2 cups.

Just double the number of pints to get the amount of cups

Answer:

7

Step-by-step explanation: