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Ymorist [56]
3 years ago
8

Part of the area under this ramp serves for storage. Items can be stored only in the unshaded part of the ramp

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
7 0

Answer:

48.1 m³ available, 2.5m³ not available

Step-by-step explanation:

Tan(X) = 4.5/(5.8+1.7)

Tan X = 3/5

Hypotenuse² = 3² + 5² = 34

Sin X = 3/sqrt(34)

X = 30.96

1/sinX = 1.7/SinY

Y = 61.003°

Third angle: 180 - X - Y = 88.037

Volume

= ½ × 1.7 × 1 × sin(88.038) × 3

= .

= 2.548

= 2.5m³

Available for storage:

½×4.5×7.5×3 - 2.548

= 48.077 = 48.1 m³

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Find the value of x and y
Inessa [10]

Answer: D. x=9√3; y=18

Step-by-step explanation:

This is a 30-60-90 special triangle, where we can use the rules to find the value of x and y. (For specific explanation, please look at the attachment below)

-----------------------------------------------------------------------------------------------------

<u>X value</u>

- The shortest side of the triangle that corresponds with [x] is 9 units. This is because it is half of the larger triangle's side length.

- Using the rules, the shortest side is x, then the second short side is x√3

- Substitute value in= x√3=(9)√3=9√3

Y value

- The shortest side of the triangle that corresponds with [x] is 9 units. This is because it is half of the larger triangle's side length.

- Using the rules, the shortest side is x, then the longest side is 2x

- Substitute value in= 2x=2(9)=18

Hope this helps!! :)

Please let me know if you have any questions

3 0
3 years ago
Can someone help me with this question please. its urgent. the question is attached
aalyn [17]
For 5, what is happening is all the points shift down negative 2 on the Y axis and then flip over the x axis.

For 6, it would flip over the Y axis and start at positive 1 x the opposite
6 0
2 years ago
The answer to the problems and how to solve it.
swat32

Let x and y represent angles 1 and 2, respectively. The given relations tell you

... x + y = 180 . . . . the sum of measures of a linear pair is 180°

... y = 2x + 6 . . . . angle 2 is 6 more than twice angle 1

One way to solve these is to add twice the first equation to the second.

... 2(x + y) + (y) = 2(180) + (2x +6)

Now, subtract 2x

... 3y = 366

... y = 122 . . . . divide by the coefficient of y

The measure of angle 2 is 122°.

3 0
3 years ago
Lin has 4 pinecones and some acorns.
frozen [14]

Answer:

Lin has 11 acorns ⇒ answer D

He subtract 4 from 7 instead of add 4 to 7

Step-by-step explanation:

- Lin has 4 pinecones and some acorns

- She has 7 fewer pinecones than acorns

- The meaning of 7 fewer pinecones than acorns is the number of the

   pinecones is less than the number of acorns by 7

∵ She has 4 pinecones

∵ She has 7 fewer pinecones than acorns

- The number of pine cones is less than the number of acorns by 7

∴ 4 = number of acorns - 7

- Add 7 to both sides

∴ 11 = number of acorns

*<em> Lin has 11 acorns</em>

- Tom choose answer A which is 3

- He made a mistake in the equation

- He put  ⇒ number of the acorns = 7 - 4 not 7 + 4

∴ number of acorns = 3

* <em>He subtract 4 from 7 instead of add 4 to 7</em>

8 0
3 years ago
Lines AB and CD are parallel. Find the measures of the three angles in triangle ABF.
NeX [460]

Answer:

42 Degrees

Step-by-step explanation:

Angle ABF is parallel to the angle DCF

7 0
2 years ago
Read 2 more answers
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