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Lunna [17]
3 years ago
11

A punch bowl contains 6 quarts of punch. There are 32 fluid ounces in a quart. How many 4-fluid ounce cups will the punch bowl s

erve?
Mathematics
1 answer:
MAVERICK [17]3 years ago
4 0
You will be able to serve 48 4-fluid ounce cups. 32×6=192. 192÷4= 48
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ikadub [295]

Answer:

The measure of angle k In the original triangle and the measure of the corresponding angle k' in the transformed triangle would be equal

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. If a shape is transformed, then all its points are also transformed. Types of transformation are rotation, reflection, translation and dilation.

Rigid transformations are transformations that preserves both length and angle, examples are translation, rotation and reflection. Dilation does not preserve length, hence it is not a rigid transformation.

The measure of angle k In the original triangle and the measure of the corresponding angle k' in the transformed triangle would be the same because reflection and rotation are rigid transformation that preserves length and angle of a shape

8 0
3 years ago
SURFACE AREAS - PYRAMIDS?
Bond [772]

The total surface area consists of the base area and the surface area (the area of all lateral faces). The base is a hexagon with side a=3 cm.

A_{hexagon}=6A_{triangle}=6\cdot \dfrac{1}{2} \cdot \dfrac{a^2\sqrt{3}}{4} =\dfrac{3}{4} \cdot 3^2\cdot \sqrt{3}=\dfrac{27\sqrt{3}}{4} sq. cm.

Each lateral face is an isosceles triangle with height h=12 cm and base a=3 cm. The area of one such lateral triangle is

A_{lateral}=\dfrac{1}{2}\cdot h\cdot a= \dfrac{1}{2}\cdot 12\cdot 3=18 sq. cm.

Then the total surface area is:

A_{total}= \dfrac{27\sqrt{3}}{4} +6\cdot 18=\dfrac{27\sqrt{3}}{4} +108=11.7+108=119.7 sq. cm.

Answer: 119.7 sq. cm.

7 0
4 years ago
Given m||n, find the value of x​
stira [4]

Answer:

x= 154°

I hope it's helps you

5 0
3 years ago
Read 2 more answers
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uysha [10]
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5 0
3 years ago
Sophina bought 3 yards of trim to put around a rectangular scarf. She wants the width of the scarf to be a whole number that is
Rudiy27
3 yards = 36*3 = 108 inches
-> total of width and length = 108/2 = 54 inches, because perimeter = 2*total of length and width.

=> length + width = 54 inches
and 6 ≤ width <span>≤ 12
=> all possible dimensions are:
6x48
7x47
8x46
9x45
10x44
11x43
12x42</span>
6 0
3 years ago
Read 2 more answers
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