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hram777 [196]
3 years ago
15

sandy has 20 roses,5 daisies,and 10 tulips.She wants to arrange all the flowers in bouquets .Each bouquet has the same number of

flowers and the same type of flower.What is the greatest number of flowers that could be in a bouquet?
Mathematics
1 answer:
nalin [4]3 years ago
4 0

Answer:

5 bouquets

4 roses 2 tulips 1 daise

Step-by-step explanation:

Find a number that can be divided in to all the values given, that would be the number of groups or in this case bouquets you have. The number you get after you divide Ex: 20/5 is the amount in each group/bouquet

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A furniture designer builds a trapezoidal desk with a semicircular cutout. What is the area of the desk?
nirvana33 [79]

Answer:

Area = 26478cm^2

Step-by-step explanation:

Given

See attachment for desk

Required

The area

First, calculate the area of the semicircular cutout

Area = \frac{\pi r^2}{2}

Where

r = 60cm

So:

A_1 = \frac{3.14 * 60^2}{2}

A_1 = \frac{11304}{2}

A_1 = 5652cm^2

Next, the area of the complete trapezium

Area= \frac{1}{2}(a + b) * h

Where

a = 300

b = 2 * r = 2 * 60 = 120

h = 153

So:

A_2 = \frac{1}{2} * (300 + 120) * 153

A_2 = \frac{1}{2} * 420 * 153

A_2 = 32130cm^2

The area of the desk is:

Area = A_2 - A_1

Area = 32130cm^2 - 5652cm^2

Area = 26478cm^2

8 0
3 years ago
If Triangle ABC= triangle DEF, which statement must be true?
arlik [135]

The statement must be true is AC = DF ⇒ A

Step-by-step explanation:

When two triangles are congruent, then

  • Their corresponding sides are equal in lengths
  • Their corresponding angles are equal in measures
  • Their perimeters and areas are equal

∵ ΔABC ≅ DEF

- Their corresponding sides and angles are equal

∴ AB = DE ⇒ AB is the corresponding side of DE

∴ BC = EF ⇒ BC is the corresponding side of EF

∴ AC = DF ⇒ AC is the corresponding side of DF

∴ ∠A ≅ ∠D ⇒ ∠A is the corresponding angle of ∠D

∴ ∠ABC ≅ ∠DEF ⇒ ∠ABC is the corresponding angle of ∠DEF

∴ ∠C ≅ ∠F ⇒ ∠C is the corresponding angle of ∠F

- Look to the answer to find the correct statement

∴ AC = DF

The statement must be true is AC = DF

Learn more:

You can learn more about the congruent of triangles in brainly.com/question/6108628

#LearnwithBrainly

7 0
3 years ago
A number divided by three, then increased by four is nine.<br> (As an equation)
Mama L [17]

Answer:

x = 15

Equation = x

                  __.  +4=9

                   3

Step-by-step explanation:

x = number

x

__.  + 4 =9

3

First, you subtract 4 on both sides of the equation to get x by itself.

x

__. = 5

3

Then, you multiply the denominator (3) on both sides to get x by itself

x = 15

7 0
3 years ago
The length of a rectangle is 6 centimeters and it's area is (6x 18) square centimeters. Write the expression for the width
Lisa [10]
The length of the rectangle would be 18 centimeters
4 0
3 years ago
What is the Circumference of a circle if its radius in 15 inches? Please help always a procrastinator in math! Thanks!
Tems11 [23]
Circumference Formula:
C = 2\pi \times R
R = Radius = 15 in

C = 2\pi \times 15
C = 30\pi \: inches

Or C = 94,2 inches
7 0
3 years ago
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