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Temka [501]
2 years ago
14

Translate: 20 more than a number is 55.

Mathematics
2 answers:
LenKa [72]2 years ago
7 0

Answer:

35

Step-by-step explanation:

x+20=55

Vedmedyk [2.9K]2 years ago
7 0

Answer:75

Step-by-step explanation:55+20=75

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Multiply. Enter the product in simplest form.<br> uIN<br> =<br> 9/10 multiplied 2/5
natali 33 [55]

Answer:

When multiplying fractions, multiply the top number by the top number, and the bottom number by the bottom number.

So we have: (9x2)/(10x5).

This simplifies to: 18/50, or 9/25.

Let me know if this helps!

5 0
3 years ago
A line through the origin and (10,4) is showin in the standard (x,y) coordinate plane below. The acute angle between the line an
Snowcat [4.5K]

Answer:

\cos\theta=\frac{10}{\sqrt{116}}

Step-by-step explanation:

To solve this, we can imagine a line drawn directly down from the point (10,4) to the x-axis. This would make a right triangle with length 10 and height 4.

\cos\theta is equal to the length of adjacent leg to the angle divided by the length of the hypotenuse of the triangle. From the picture, we can see the adjacent leg is 10.

We can use Pythagorean's Theorem to find the hypotenuse (let c represent the length of the hypotenuse):

10^2+4^2=c^2

100+16=c^2

116=c^2

c=\sqrt{116}

Thus, we know the adjacent is 10, and the hypotenuse is \sqrt{116}. This means \cos\theta=\frac{10}{\sqrt{116}}.

Hope this helps!

5 0
3 years ago
Use the Pythagorean theorem to determine which of the following give the measures of the legs and hypotenuse of a right triangle
Masteriza [31]

Answer: 3, 4,5 and 17, 15,8

give the measures of the legs and hypotenuse of a right triangle.

Step-by-step explanation:

In order for the measures of the legs and hypotenuse given to form a right angle triangle, they must be Pythagorean triples. A Pythagoras triple is a set of numbers that perfectly satisfy the Pythagorean theorem. The Pythagorean theorem is expressed as

Hypotenuse² = opposite side² + adjacent side². We will apply the theorem to each set of numbers given.

1) 3, 4, 5

5² = 3² + 4² = 9 + 16

25 = 25

It is a Pythagorean triple

2) 4, 11, 14

14² = 11² + 4² = 121 + 16

196 = 137

It is a Pythagorean triple

3) 9, 14, 17

17² = 14² + 9² = 196 + 81

289 = 277

It is not a Pythagorean triple

4) 8, 14, 16

16² = 14² + 8² = 196 + 64

256 = 260

It is not a Pythagorean triple

5) 8, 15 , 17

17² = 15² + 8²

289 = 225 + 64

289 = 289

It is a Pythagorean triple

Therefore, 3, 4,5 and 17, 15,8

give the measures of the legs and hypotenuse of a right triangle.

8 0
3 years ago
84,552 rounded to the nearest 1000 and 100 and 10
Juli2301 [7.4K]

Answer:

85,000; 84,600; 84,550

Step-by-step explanation:

84,552 is closer to 85,000

84,552 is closer to 84,600

84,552 is closer to 84,550

7 0
3 years ago
A store has apples on sale for 28.00 for 8 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $112.0
mrs_skeptik [129]

Answer:

112 divided by 4 is 28. So 16 times 4 = 64. 64 divided by 5 is 12. 12 apples per 8 pounds. so 12 times 4 is 48 so your answer is 48

Step-by-step explanation:

7 0
3 years ago
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