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SOVA2 [1]
3 years ago
7

This is a cross-sectional view of candy bar ABC. A candy company wants to create a cylindrical container for candy bar ABC so th

at it is circumscribed about the candy
bar. If AD = 3 cm, what is the smallest diameter of wrapper that will fit the candy bar? 3cm 4cm 5cm
or 6cm

Mathematics
1 answer:
Eduardwww [97]3 years ago
4 0

Answer:

The smallest diameter of wrapper that will fit the candy bar is 6 cm

Step-by-step explanation:

The smallest diameter of the wrapper will have to be the length of the line AC.

We can observe that there are two similar triangles present in the shape there.

We have triangle ADE and triangle DCF

They are similar because their left side, base length, and right angle are equal.

We are given the length of the side AD for triangle ADE.

From the rules of similar triangles, we have that side DC will also equal 3 cm. because the two triangles are similar.

Hence AC will be 3cm + 3cm = 6 cm

The smallest diameter of wrapper that will fit the candy bar is 6 cm

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The factorization of x^2 + 3x-4 is modeled with algebra tiles
o-na [289]

Answer:

(x-1) (x+4)

Step-by-step explanation:

i used something called the box method, basically the way i got the answer is what equals 3 when added, but multiplies to make -4

5 0
3 years ago
the 43rd term of an arithmetic sequence is -671 and the 52nd term is -806. find the first term and the common difference.
Bond [772]

Answer:

First term = -41.

Common difference = -15.

Step-by-step explanation:

nth term: an = a1 + (n - 1)d  where a = first term and d = the common difference.

-671 = a1 + (43 - 1)d

-806 = a1 +(52 - 1)d

-671  = a1 + 42d

-806 = a1 + 51d

Subtracting ( to eliminate a1):

-671 - (-806) = 42d - 51d

-9d =  135

d = -15

Substitute for d in the first equation:

-671 = a1 + 42*-15

-671 = a1 - 630

a1 = -671 + 630 = -41.

3 0
2 years ago
I need to know what the volume of the cone in cubic inches please
ivolga24 [154]

Answer:

V = 118 in³

Step-by-step explanation:

The volume of a cone of radius r and height h is V = (1/3)(π)(r^2)(h).

In this case, the volume is V = (1/3)π(3 in)^2·(6 in), or π(18 in³)

Using 3.14 as the approximate value of π, we get V = 118 in³

6 0
3 years ago
Yelania and Audrey are playing the Integer game. Below art the two cards they selected. Remember, in the integer game, the numbe
neonofarm [45]

Answer:

The models are different.

Step-by-step explanation:

Yelania and Audrey took two cards which are 4,-6 and 4,6 respectively.

They do not lie on the same points as the sum of Yelania's cards=4-6=-2 and the sum of Audrey's cards=4+6=10.

Both -2 and 10 lie differently on the number line.

Therefore, the models are different from each other.

7 0
3 years ago
Rename 1/5 and 9/10 using the least common denominator
skad [1K]

Answer:

2/10

Step-by-step explanation:

you have to match the bottom number on both fractions then do what ever you did to the top number

so with this to get the 5 to a 10 you have to times it by 2

so you do the same to the 1

3 0
3 years ago
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