Which figures below are congruent?<br> 1 and 2<br> 2 and 3<br> 1 and 3<br> 2 and 4

nadezda [96]

The number of snail shells used is 45 and the number of shark teeth used is 36 if the ratio of snail shells to shark teeth is 5:4.

According to the question,

We have the following information:

A jeweler makes an ocean-inspired necklace using a total of 72 snail shells and shark teeth. The ratio of snail shells to shark teeth is 5: 4.

Let's take the number of snail shells to be 5x and the number of shark teeth to be 4x.

So, we have the following expression:

5x+4x = 72

9x = 72

x = 72/9

x = 8

Number of snail shells = 5*9 = 45

Number of shark teeth = 4*9 = 36

Hence, the number of snail shells used is 45 and the number of shark teeth used is 36 if the ratio of snail shells to shark teeth is 5:4.

To know more about ratio here

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6 0

1 year ago

Amber wants to buy her chicken food for the entire year (52 weeks).the chickens eat 9 pounds of food a week. the food is package

ipn [44]

Answer:

19 bags

Step-by-step explanation:

52 x 9=468 pounds of food

468 / 25=18.72 or 19 bags

5 0

3 years ago

A crate contains cylindrical cans of soup for shipment. Each crate is a cube with side lengths of 12in. Each soup can is 5in tal

denpristay [2]

The volume of the cube is base times width times height, or any of these measurements cubed, since they're all the same.
Therefore, the volume of the cube is:
12³ = 1728 in³
The volume of the cylinder is π*r²*h, where r is the radius and h is height
Remember that the diameter is twice the radius, so the radius is 2 in and the height is 5 in.
Therefore, each can has a volume of π * 2² * 5 = 20π
Approximating π as 3.14....
The volume of each can is 62.8 in³
1728 ÷ 62.8 = 27.5
Rounding down, 27 cans can fit in the crate.
This is how I suspect the teach wanted you to solve, since it involves finding the volume of both shapes and using pi. However, this is not actually how many cans can fit, because it does not take into account the fact that not every inch of available space will be used.

Here is another way to solve,taking this fact into account, that gives the more accurate answer:

Each can has a diameter of 4in, which means that they each require a square of 4 x 4 in to accommodate their base.
The base of each can requires 16 in² of space in the crate.
The base of the cube is 12 x 12, so the area of the base is 144 in²
144 ÷ 16 = 9, so the base of the cube, or bottom of the box, can fit 9 cans, arranged 3 by 3.

The cube has a height of 12 inches, and each can is 5 inches tall. Therefore, two of these stacks can fit in the box, for 9 x 2 = 18 cans.
This is a much better answer, as it takes into account the fact that the cans can't occupy every inch of available space in the cube.

5 0

4 years ago

A circle has a diameter of 10mm.

Sergeeva-Olga [200]

Th answer to the question is 20 mm hope this helps

7 0

3 years ago

Engineers must consider the diameters of heads when designing helmets. The company researchers have determined that the populati

Margaret [11]

Answer:

1. The minimum head breadth that will fit the clientele is of 4.41-in.

2. The maximum head breadth that will fit the clientele is of 7.19-in.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of 5.8-in and a standard deviation of 0.8-in.

This means that $\mu = 5.8, \sigma = 0.8$