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natita [175]
2 years ago
10

Rosemary had $25 to spend on school supplies she buys four packages of mechanical pencils. After her trip to the store, she only

has $1 left. How much should each pack of pencils cost?
Mathematics
2 answers:
Alinara [238K]2 years ago
6 0

Answer: Each pack of pencils cost $6.

Step-by-step explanation: Rosemary had $25 and was left with $1, so she spent $24 in total for four packages, therefore, you can divide $24 into 4 to find out the individual cost, which is $6.

docker41 [41]2 years ago
6 0

Answer:

6 dollars each

Step-by-step explanation:

25-1= 24 and 24÷4= 6

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D: I and IV only.

Step-by-step explanation:

We can go through each statement and examine its validity.

I) All congruent triangles are similar.

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Since all angles are congruent, this fulfills the AA Similarity criterion. Thus, I is true.

II) All similar triangles are congruent.

Congruence guarantees similarity, but similarity does not guarantee congruence.

Two triangles need only two congruent angles to guarantee similarity, while two congruent angles does guarantee congruence. II is false.

III) All right triangles are similar.

Triangles are similar through the AA criterion. One angle of a right triangle must be 90, so this leaves 90 for the two remaining angles. Since these two angles can be anything that sum to 90, we are not guaranteed similarity. For example, 20 - 70 - 90 and 30 - 60 - 90 triangles. They are both right triangles, but are not similar. III is false.

IV) All isosceles right triangles are similar.

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The correct statements are I and IV.

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3 years ago
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PLEASE HELP ME.Math work: The Head Chef has asked you to create a delicious baked dessert that will have the same volume if it i
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Answer:

Large baking dish of cylinder, cone and sphere.

Step-by-step explanation:

When we compute the volume of each of the small and large baking dish taking \pi=3.14, we get

Volume of cylinder (small dish)= \pi(r^2)(h)

                                                  =3.14(\frac{3}{2})^2*3

                                                  = \frac{3.14*9*3}{4}

                                                 = 21.195

Volume of cylinder (large dish)= \pi(r)^2(h)= 3.14*(3)^2(3)

                                                  =84.78

Similarly, volume of cone (smaller dish)= \frac{1}{3} \pi r^{2} h

                                                            = 7.065

Volume of cone (larger dish)= 84.78

Volume of sphere(smaller dish)= \frac{4}{3} \pi r^{3}

                                                    = 14.13

Volume of sphere (larger dish) = 85.17 (approx)

Hence, we get that larger baking dish have approximately same volume.

Therefore, large baking dish of cylinder, cone, sphere will be chosen.

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