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stich3 [128]
3 years ago
11

The temperature rose 2°C each hour for 6 h. Use integers to find the total change in temperature

Mathematics
1 answer:
Vanyuwa [196]3 years ago
3 0

12·C

Step-by-step explanation:

2 * 6 = 12·C

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Using a calculator, evaluate the cosine of 18* to the hundredths decimal place: A. 0.951 B. 0.95 C. 0.66 D. 0.660
Alona [7]

Answer:

Option B

Step-by-step explanation:

=> Cos 18

=> 0.9510

<u><em>To the hundredths place</em></u>

=> 0.95

7 0
3 years ago
Read 2 more answers
Given two positive even integers, it turns out that the square of the largest minus 10 times the smaller is 76. What is the sum
kolbaska11 [484]

Answer:

  26

Step-by-step explanation:

Even integers will only have a square ending in 6 if they end in 4 or 6.

The square will only have a value greater than 76 if the number is greater than 8, that is, 14 or 16, 24 or 26, and so on.

The "smaller" integer will only be smaller if the "larger" integer is less than 16.

So, the two integers are ...

  14 and (14^2 -76)/10 = 12

The sum of 14 and 12 is 26.

_____

In the graph, we let x represent the "larger" integer and y the "smaller". The shaded area is where x > y, and the curve is the constraint on their values. The two vertical lines are the even numbers whose squares end in 6, resulting in integer values for y.

3 0
3 years ago
A grading machine can grade 96 multiple
weqwewe [10]

Answer:

6.25 minutes or 375 seconds

Step-by-step explanation:

We can solve the following problem through the Proportion method.

Here,

we may take the time taken by the machine as x

96 : 2 : : 300 : x\\96x= 2 *300\\96x=600\\x=600/96\\x=6.25\ minutes

8 0
4 years ago
What is the line of semmetry for the parabola whose equation is y =x^2 +10x=25
frozen [14]

Answer:

x = -5

Step-by-step explanation:

The equation y = x^2+10x+25  can be factored to (x+5)^2

when (x+5)^2 = 0

x = -5

meaning the equation has a line of symmetry at x = -5

5 0
3 years ago
The area of a storage shed floor is 20 ft2. The length is 3 more than twice the width. Find the dimensions of the storage shed f
vladimir1956 [14]

Answer:

  • 2.5 ft wide
  • 8 ft long

Step-by-step explanation:

The given relation between length and width can be used to write an expression for area. The equation setting that equal to the given area can be solved to find the shed dimensions.

__

<h3>Given relation</h3>

Let x represent the width of the shed. Then the length is (2x+3), and the area is ...

  A = LW

  20 = (2x+3)(x) . . . . . area of the shed

__

<h3>Solution</h3>

Completing the square gives ...

  2x² +3x +1.125 = 21.125 . . . . . . add 2(9/16) to both sides

  2(x +0.75)² = 21.125 . . . . . . . write as a square

  x +0.75 = √10.5625 . . . . . divide by 2, take the square root

  x = -0.75 +3.25 = 2.50 . . . . . subtract 0.75, keep the positive solution

The width of the shed is 2.5 feet; the length is 2(2.5)+3 = 8 feet.

8 0
2 years ago
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