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Genrish500 [490]
3 years ago
8

A group of friends were working on a student film. They spent $570 on equipment,

Mathematics
2 answers:
Strike441 [17]3 years ago
3 0

Answer:

1000

Step-by-step explanation:570 is 57 percent of one thousand because since 570 is 57 to the second power and 1000 is 100 to the second power

d1i1m1o1n [39]3 years ago
3 0

Answer:

1

Step-by-step explanation:

1

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In a kitchen there are three containers that can hold different quantities of water, as shown in the figure below:
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Answer:

3x-15

Step-by-step explanation:

(x-10)+(x-5)+(x)=3x-15

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You have 8 times as many dimes as nickels. You have 18 dimes
fenix001 [56]

Answer:

$1.70

Step-by-step explanation:

Let the number of nickels be  x.

Thus, by the problem statement, the number of dimes is  [/tex] 8 \cdot x = 8x. [/tex]

Therefore, there are 8x + x = 9 coins in total. To find what x is, we need to solve the equation 9x = 18. This can be done by dividing both sides by 9 which gives x=2. Plugging these values in tells us that there are 2  nickels and 16 dimes. (Test it out!) Thus, the nickels are worth 2 \cdot 5 = 10 cents and the dimes are worth 16 \cdot 10 = 160 cents, so in all, you have 10 + 160 = 170 cents which is $1.70.

Hope this helps :)

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1 year ago
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Digiron [165]
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In triangle RST, m∠R &gt; m∠S + m∠T. Which must be true of triangle RST? Check all that apply.
solmaris [256]

Answer:

1. m∠R > 90°

2. m∠S + m∠T < 90°

4. m∠R > m∠T

5. m∠R > m∠S

Step-by-step explanation:

<h3>General strategy</h3>
  1. prove the statement starting from known facts, or
  2. disprove the statement by finding a counterexample

Helpful fact:  Recall that the Triangle Sum Theorem states that m∠R + m∠S + m∠T = 180°.

<u>Option 1.  m∠R > 90°</u>

Start with m∠R > m∠S + m∠T.

Adding m∠R to both sides of the inequality...

m∠R + m∠R > m∠R + m∠S + m∠T

There are two things to note here:

  1. The left side of this inequality is 2*m∠R
  2. The right side of the inequality is exactly equal to the Triangle Sum Theorem expression

2* m∠R > 180°

Dividing both sides of the inequality by 2...

m∠R > 90°

So, the first option must be true.

<u>Option 2.  m∠S + m∠T < 90°</u>

Start with m∠R > m∠S + m∠T.

Adding (m∠S + m∠T) to both sides of the inequality...

m∠R + (m∠S + m∠T) >  m∠S + m∠T + (m∠S + m∠T)

There are two things to note here:

  1. The left side of this inequality is exactly equal to the Triangle Sum Theorem expression
  2. The right side of the inequality is 2*(m∠S+m∠T)

Substituting

180° > 2* (m∠S+m∠T)

Dividing both sides of the inequality by 2...

90° > m∠S+m∠T

So, the second option must be true.

<u>Option 3.  m∠S = m∠T</u>

Not necessarily.  While m∠S could equal m∠T, it doesn't have to.  

Example 1:  m∠S = m∠T = 10°;  By the triangle sum Theorem, m∠R = 160°, and the angles satisfy the original inequality.

Example 2:  m∠S = 15°, and m∠T = 10°;  By the triangle sum Theorem, m∠R = 155°, and the angles still satisfy the original inequality.

So, option 3 does NOT have to be true.

<u>Option 4.  m∠R > m∠T</u>

Start with the fact that ∠S is an angle of a triangle, so m∠S cannot be zero or negative, and thus m∠S > 0.

Add m∠T to both sides.

(m∠S) + m∠T > (0) + m∠T

m∠S + m∠T > m∠T

Recall that m∠R > m∠S + m∠T.

By the transitive property of inequalities, m∠R > m∠T.

So, option 4 must be true.

<u>Option 5.  m∠R > m∠S</u>

Start with the fact that ∠T is an angle of a triangle, so m∠T cannot be zero or negative, and thus m∠T > 0.

Add m∠S to both sides.

m∠S + (m∠T) > m∠S + (0)

m∠S + m∠T > m∠S

Recall that m∠R > m∠S + m∠T.

By the transitive property of inequalities, m∠R > m∠S.

So, option 5 must be true.

<u>Option 6.  m∠S > m∠T</u>

Not necessarily.  While m∠S could be greater than m∠T, it doesn't have to be.  (See examples 1 and 2 from option 3.)

So, option 6 does NOT have to be true.

4 0
1 year ago
What is the length of BC in the right triangle below?
Neko [114]

Answer and Step-by-step explanation:

<u>How to solve:</u>

Use the Pythagorean Theorem to find the length of side <em>BC</em>.

<u>Pythagorean Theorem Formula:</u>

<u />A^2+B^2=C^2<u />

<u />

Side AB will be A, side AC will be B, and side BC will be C.

<u>Plug in values.</u>

8^2+15^2 = C^2\\\\\\64 + 225 = C^2\\\\289 = C^2\\Square.root.both.sides.\\\\\sqrt{289} = C\\17 = C\\\\\\

<u>This means the answer is A. 17.</u>

<u></u>

<u>I hope this helps!</u>

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

5 0
3 years ago
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