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trapecia [35]
2 years ago
7

Simplify | 43 – 99 | – | 75 + 21|.

Mathematics
1 answer:
beks73 [17]2 years ago
3 0

Answer:

- 40

Step-by-step explanation:

The absolute value function always returns a positive value, that is

| - a | = | a | = a

Given

| 43 - 99 | - | 75 + 21 |

= | - 56 | - | 96 |

= 56 - 96

= - 40

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A park has a 3m tall tetherball pole, and a 6.8m tall flagpole. The lengths of their shadows are proportional to their heights.
vlada-n [284]

Complete question is;

A park has a 3 meter tall tether ball pole and a 6.8 m tall flagpole. The lengths of their shadows are proportional to their heights.

Which of the following could be the lengths of the shadows?

Choose 2 answers from the options attached.

Answer:

Options B & D

Step-by-step explanation:

From the question, the proportional relationship between the height and shadow length is a direct proportionality. This means that an increase in the height, leads to an increase in the length of shadow and vice versa. Thus, the height to shadow length ratio is a constant.

Now, if we use x and y to denote length of shadow of tether ball pole and length of flagpole receptively, we will have;

3/x = 6.8/y

Let's make y the subject.

y = 6.8x/3

Looking at the options;

Option A: When x = 1.35 m, we have;

y = (6.8 × 1.35)/3 = 3.06 m

For Option B:

When x = 1.8 m,

y= (6.8 × 1.8)/3 = 4.08 m

For Option C:

When x= 3.75 m,

y = (6.8 × 3.75)/3 = 8.5 m

For option D:

When x = 0.6

y = (6.8 × 0.6)/3 = 1.36 m

For option E;

When x = 2,

y = (6.8 × 2)/3 = 4.533 m

From our calculations, the only values of y that correspond with the given value of y in the options are Options B & D

5 0
3 years ago
Help me and you get 40 points
victus00 [196]

Answer:

The angle 6 measures 54 degrees

Step-by-step explanation:

Angle 6 is congruent to angle 7 ("-2x+34") as it is an opposite angle in straight line intersection. But angle 6 is congruent to angle 2 (-9x-36) due to the two horizontal lines being parallel. So we can write the following equality to determine the value of x:

-2x + 34 = -9x -36

7x = -70

==> x = -10

Now we can answer the question:  the angle 6 is

-2x + 34 = -2(-10)+34 = 54 degrees

7 0
3 years ago
Find the simple interest on Rs. 4500 for 6 months at
Serga [27]
$1350
4500*6*1/2= 1350
3 0
2 years ago
What is 5/9 times 2 4/5 mixed number
Lunna [17]
5/9 * 2*5+4/5
5/9 * 10 + 4/5
5/9 * 14/5
5 * 14/9 * 5
70/9*5
70/45
14/9
1 5/9.
3 0
3 years ago
How do I do this problem?
Sedaia [141]
Use the reciprocal method. the first term is really 4 divided by 3/4. which is also the same as 4 multiplied by 4/3. that number is 16/3 of course. you then find a common denominator between the 2 terms. 16/3 and 3/2 can both have the denominator 6. The first term gets changed to 32/6 and the second can be changed to 9/6 and when 32/6 - 9/6 is done, it comes out to 23/6

23/6
5 0
3 years ago
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