A yogurt shop offers five different flavors of frozen yogurt and twenty different
toppings. How many choices are possible for a single serving of frozen yogurt with
one topping?

Answer:

7.8 to 1 decimal place

Step-by-step explanation:

70 pounds for 9 acre

for one acre it'll be 70/9

7.7 recurring or 7.8 to 1dp or 8 to the nearest whole number

Answer:

7/9 pounds

Step-by-step explanation:

I did 70/9 to get 7/9 pounds

Answer:

The answer should be "B" (The area of △RST is equal to the area of △LMN.)

The area of ΔRST is equal to the area of ΔLMN.

We know that, if the vertices of a triangle are [tex](x_{1},y_{1}), (x_{2} ,y_{2} ), (x_{3} ,y_{3} )[/tex],

then the area of the triangle is [tex]\frac{1}{2}[/tex] | [tex]x_{1} (y_{2} -y_{3} )+x_{2} (y_{3} -y_{1} )+x_{3} (y_{1} -y_{2} )[/tex] |

In ΔRST, Vertices are R=(5,5), S=(2,1), T=(1,3)

In ΔLMN, Vertices are L=(0,-1), M=(2,-4), N=(-2,-3)

Area of ΔRST =  [tex]\frac{1}{2}[/tex] | [tex]x_{1} (y_{2} -y_{3} )+x_{2} (y_{3} -y_{1} )+x_{3} (y_{1} -y_{2} )[/tex] |

                      =  [tex]\frac{1}{2}[/tex] | 5(1-3)+2(3-5)+1(5-1) |

                      =  [tex]\frac{1}{2}[/tex] | 5×(-2)+2×(-2)+4 |

                      =  [tex]\frac{1}{2}[/tex] | -10-4+4 |

                      =  [tex]\frac{1}{2}[/tex] | -10 |

Removing the absolute sign, we get,

Area of ΔRST =  [tex]\frac{1}{2}[/tex] ×10 = 5 square unit

Again, Area of ΔLMN =  [tex]\frac{1}{2}[/tex] | [tex]x_{1} (y_{2} -y_{3} )+x_{2} (y_{3} -y_{1} )+x_{3} (y_{1} -y_{2} )[/tex] |

                                   =  [tex]\frac{1}{2}[/tex] | 0(-4+3)+2(-3+1)-2(-1+4) |

                                   =  [tex]\frac{1}{2}[/tex] | 0+2(-2)-2(3) |

                                   =  [tex]\frac{1}{2}[/tex] | -4-6 |

                                   =  [tex]\frac{1}{2}[/tex] | -10 |

Removing the absolute sign, we get,

Area of ΔLMN =  [tex]\frac{1}{2}[/tex] ×10 = 5 square unit

Hence, we can say that, the area of ΔRST = the area of ΔLMN

Learn more about area of a triangle from its vertices here :

https://brainly.com/question/17335144

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Answer:

Step-by-step explanation:

5/6.

use that alternate exterior angles are congruent

3x= 5x -64; 64 = 5x-3x; 64= 2x ; 32 =x

use that lines form 180°

y+ 5x-64= 180

y= 180 +64 -5*32; y= 84

7/8.

use that alternating exterior angles are congruent

x=86

use that same side exterior angles are supplementary

x+y = 180; y= 180 -86; y= 94

9/10.

use that vertical angles are congruent

2y=59; y= 59/2; y= 29.5

use that alternate exterior angles are congruent

3x-4= 2y; 3x = 2y+4; x= (59+4)/3; x=21

Answer:

12barras

Step-by-step explanation:

Hoy vamos a hacer una excursión con la escuela y tuvimos que hacer sándwiches para toda la clase. Si gastamos 2 hogazas de pan para hacer sándwiches para mis 4 hermanos, ¿cuántas hogazas de pan necesitaremos para hacer sándwiches para los 24 estudiantes de la clase?

De la pregunta anterior:

4 personas = 2 barras de pan

24 personas = x

Multiplicar cruzada

4 × x = 24 × 2 barras de pan

x = 24 × 2 barras de pan / 4

x = 12 barras de pan

Answer:

7w^3/5v

Step-by-step explanation:

42v^3w^4/30v^4w

42 = 6 * 7

30 = 6*5 , factor

6*7v^3w^4/6*5v^4w

6 is common, cancel

7v^3w^4/5v^4w

simplify w^4/w = w^3

v^3/v^4 = 1/v

therefore, 7w^3/5v is the answer

Answer:

the answer is simple

Step-by-step explanation:

hope you got mu explanation

Answer:

6 sin 32°

Step-by-step explanation:

Hope this helps :)

Answer:

c. 125.6

Step-by-step explanation:

Pi= 3.14

r= d/2 = 40/2 = 20

[tex]2\pi \: r[/tex]

= 2 × 3.14 × 20

=125.6

Answer:

function A

Step-by-step explanation:

_______________

Answer:

With 3 dots, you can only draw 1 triangle.

Step-by-step explanation:

All Triangles must have 3 sides, and 3 angles.

Note:

Pls, brainliest.

Thank you!

Answer:

A

Step-by-step explanation:

The distance between 0 and 4/6 is 4/6. This distance is repeted two times

so we have 4/6 + 4/6 or 2 x 4/6

Answer:

40%  properties  are Semi-detached

Step-by-step explanation:

Given,

Percentage of Bungalow = 10%

Percentage of Detached properties = 30%

Percentage of Apartments = 20%

∴Total percentage of properties deducting the  semi-detached properties

= (10 + 30 + 20) %

= 60%

∴ Percentage of semi detached properties = (100 - 60) %

                                                                        = 40%

So, 40% properties are Semi-detached.

Answer:

y interpret is 60

slope 60/4=20x

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Lysosomes

Step-by-step explanation:

Answer:

one million one hundred thousand three hundred

Answer:

[tex]Area = 26478cm^2[/tex]

Step-by-step explanation:

Given

See attachment for desk

Required

The area

First, calculate the area of the semicircular cutout

[tex]Area = \frac{\pi r^2}{2}[/tex]

Where

[tex]r = 60cm[/tex]

So:

[tex]A_1 = \frac{3.14 * 60^2}{2}[/tex]

[tex]A_1 = \frac{11304}{2}[/tex]

[tex]A_1 = 5652cm^2[/tex]

Next, the area of the complete trapezium

[tex]Area= \frac{1}{2}(a + b) * h[/tex]

Where

[tex]a = 300[/tex]

[tex]b = 2 * r = 2 * 60 = 120[/tex]

[tex]h = 153[/tex]

So:

[tex]A_2 = \frac{1}{2} * (300 + 120) * 153[/tex]

[tex]A_2 = \frac{1}{2} * 420 * 153[/tex]

[tex]A_2 = 32130cm^2[/tex]

The area of the desk is:

[tex]Area = A_2 - A_1[/tex]

[tex]Area = 32130cm^2 - 5652cm^2[/tex]

[tex]Area = 26478cm^2[/tex]

Answer:

$496,800

Step-by-step explanation:

Present cost = $480,000

%increase = 3.5%

Present price of the house = 480,000 + 3.5% of 480,000

= 480,000 + 0.035 * 480,000

= 480,000 + 16,800

= $496,800

Present price of the house = $496,800

Answer:

1) supplementary

2) complementary

Step-by-step explanation:

1) FGH= 109 JKL=71

109+72=180

2) AED=45 BEC=45

45+45=90

Answer: third option 60t + 24t

Step-by-step explanation:

Answer: 60[tex]x^{3}[/tex]-24[tex]x^{2}[/tex]

Step-by-step explanation:

Answer:

9j

Step-by-step explanation:

vector AB means going to B from A.

= pos. final - pos. initial

= pos.B - pos.A

= (2i + 4j) - (2i - 5j)

= 2i + 4j - 2i + 5j

= 9j

Answer:

8 sq units

Step-by-step explanation:

to find the area of shaded region:

area of square minus sum of areas of each semi-circle

A(square) = 6² = 36

A (semi-circle) = πr²/2

= π3²/2

= 4.5π

Since there are two semi-circles, that makes one complete circle with an area of 9π

A(circle) ≈ 28 sq units

36-28 = 8 sq units

Answer:

-8+5√2 and -8-5√2

Step-by-step explanation:

Given the expression x² + 16x + 14 = 0

USing the general formulas

x = -16±√16²-4(14)/2

x = -16±√256-56/2

x = -16±√200/2

x = -16±10√2/2

x = -8±5√2

Hence the required solutions are -8+5√2 and -8-5√2

Answer:

345

Step-by-step explanation:

230/4 = 57.5

57.5 times 6 = 345 calories

Answer:

B

Step-by-step explanation:

Domain is the x value and it is asking your for the coordinates with the same x value.

6/12

- 1/12

= 5/12

6 - 3 = 3

= 3 5/12