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3 years ago

Which shape is always an isosceles triangle?

Mathematics

1 answer:

Lady_Fox [76]3 years ago

8 0

Only triangles , there isosceles if they both have two congruent sides & angles !

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Elise randomly surveyed students at her school to find out their favorite music. The table shows the results of Elise's survey.

MaRussiya [10]

Answer:

Umm 125 I guess

Step-by-step explanation:

8 0

3 years ago

The standard configuration for an Arizona license plate is 3 digits (0 - 9) followed by 3 letters (of 26). If you can not repeat

Anna71 [15]

Answer:

11232000 plates can be made.

Step-by-step explanation:

The order of the digits and of the letters is important. For example, ABC is a different configuration than CBA. So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

In this question:

3 digits from a set of 10(there are 10 digits from 0 to 9).

3 letters from a set of 26. So

Total:

$T = P_{(10,3)} \times P_{(26,3)} = \frac{10!}{(10-3)!} \times \frac{26!}{(26-3)!} = 11232000$

11232000 plates can be made.

5 0

3 years ago

What is the largest digit N for which 2345N is divisible by 6?

kotegsom [21]

Consider this option (this is not the only way):
1. according to the condition 2345N is divisible by 6, it means, that N is even number (0;2;4;6 or 8).
2. 6=3*2, then the number 2345N is divisible by 3 also. It means, that the number (2+3+4+5+N)=(14+N) is divisible by 3, where N={0|2|4|6|8}.
3. using items 1 and 2:
(14+4)=18; only 18 is divided by 3, it means that N=4.

answer: 4.

Note also, that only 23451; 23454 and 23457 are divided by 3. Only 23454 is divided by 6 (23454/6=3909).

3 0

3 years ago

The sales tax rate is 8.25%. Estimate the sales tax on a book that costs $18.50.

eimsori [14]

Answer:

$1.53

Step-by-step explanation:

Sales Tax Rate = 8.25%

Book Sales Cost = $18.50

Book Sales Tax = 8.25% x $18.50

= 8.25/100 x $18.50

= 0.0825 x $18.50

Book Sales Tax = $1.53

4 0

4 years ago

Read 2 more answers

Help me please, Find a, b, and c.

Mama L [17]

Answer:

a = $6*\sqrt{3}$

b = 12

c = $6\sqrt{2}$

Step-by-step explanation:

Since the triangles are right triangles with 60 and 45 degree angles, their side lengths follow special triangles.

A 45-45-90 right triangle has side lengths $1-1-\sqrt{2}$ .

A 30-60-90 right triangle has side lengths $1 - \sqrt{3} -2$ .

Starting with the top triangle which has a 60 degree angle, its side length 6 corresponds to a side length of 1 in the special triangle. It is 6 times bigger so its remaining sides will be 6 times bigger too.

Side a corresponds to side length $\sqrt{3}$ . Therefore, $a = 6*\sqrt{3}$ .

Side b corresponds to side length 2, b = 2*6 = 12.

The bottom triangle has a 45 degree angle, its side length b= 12 corresponds to $\sqrt{2}$ . This means $\sqrt{2}$ was multiplied by $12 = \sqrt{2} * \sqrt{72}$ . This means that side c is $\sqrt{72}=6\sqrt{2}$ .

3 0

3 years ago

Read 2 more answers