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kati45 [8]
4 years ago
6

a rectangular cake has a length of 15 inches and a width of 10 inches how many whole square pieceslenghts of 2 1/2 inches can be

cut from the cake
Mathematics
1 answer:
sineoko [7]4 years ago
5 0

Answer:

24

Step-by-step explanation:

The cake measures 10 inches by 15 inches. If pieces are 2.5 inches long and wide (they are square and equal) then 6 pieces will be cut along the length.

15/ 2.5 = 6

And 4 pieces will be cut along the width.

10/ 2.5 = 4

All together when the entire cake is cut, there will be 4*6 = 24 squares 2.5 inch long pieces.

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Steps to solve equation 1+3x=-x+4
Semmy [17]

Answer:

3/4

Step-by-step explanation:

1+3x=-x+4

1+3x-(-x)=4

1+3x+x=4

1+4x=4

4x=4-1

4x=3

x=3/4

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3 years ago
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ABC is an isosceles triangle with BA=BC
melomori [17]

Explanation:

1. ∠BAC≅∠BCA, ∠ABD≅∠ADB; Reason: definition of isosceles triangles

2. ∠ABD +∠BAC +∠ADB = 180°; Reason: sum of internal angles is 180°

3. ∠BAC = 180° -2(∠ABD) = 36°; Reason: Subtraction and substitution properties of equality

4. ∠BAC +∠BCA +∠ABC = 180°; Reason: sum of internal angles is 180°

5. ∠BCA = 180° -2(∠BAC) = 108°; Reason: Subtraction and substitution properties of equality

6. ∠ABD +∠DBC = ∠ABC; Reason: Angle sum theorem

7. ∠DBC = ∠ABC -∠ABD = 108° -72° = 36°; Reason: Subtraction and substitution properties of equality

8. ∠BCA = ∠BAC = 36°; Reason: Substitution property of congruence

9. ΔBCD is isosceles; Reason: Base angles DBC and BCA are congruent.

_____

There may be extra steps involved if you separately use subtraction and substitution properties of equality, or if you separately claim congruence of angles and equality of their measures. We have assumed that the definition of "isosceles triangle" includes the fact of equal side lengths <u>and</u> equal base angles.

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3 years ago
Does anyone know the meaning of vectors?
Alla [95]
A vector is an object that has both a magnitude and a direction
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3 years ago
Consider the functions:
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Step-by-step explanation:

7 0
3 years ago
(Please this is URGENT!) On a computer screen, Jennifer just created a triangular design of a banner with vertices at A(-4,3), B
boyakko [2]

Answer:

The correct option is;

d. Reflecting about the line y = -1, followed by translating 8 units to the right

Step-by-step explanation:

The coordinates of the vertices of the banner Jane created = A(-4, 3), B(-1, 5) and C(-1, 2)

By reflecting across the line y = -1, we get

A(-4, 3) by reflection across the line y = -1 gives A(-4, -5)

B(-1, 5) by reflection across the line y = -1 gives B(-1, -7)

C(-1, 2) by reflection across the line y = -1 gives C(-1, -4)

By translating 8 units to the right get

A(-4, 3) by translation 8 units right gives A prime (4, -5)

B(-1, 5) by translation 8 units right gives B prime (7, -7)

C(-1, 2) by translation 8 units right gives C prime (7, -4)

Therefore, the two transformation that she could perform so that the transformed vertices become A prime (4, -5), B prime (7, -7), and C prime (7, -4) are;

1) Reflection across the line y = -1

2) An horizontal translation 8 units to the right get.

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3 years ago
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