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Flauer [41]
3 years ago
13

Please help mee

Mathematics
1 answer:
Bess [88]3 years ago
5 0

Answer:

$47,616

Step-by-step explanation:

49,600 x .04 = 1984

49,600- 1984 = $47,616

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Edward wants to compare slope of two wake board ramps.The first ramp has the rise of 5 feet and run of 12 feet. The second has t
xxMikexx [17]

Answer:

Step-by-step explanation:

The formula for determining the slope of a ramp is expressed as

Slope = rise/run

The first ramp has the rise of 5 feet and run of 12 feet. This means that the slope of the first ramp is

Slope = 5/12 = 0.417

The second has the rise of 6 feet and the run of 3 feet. This means that the slope of the second ramp is

Slope = 6/3 = 2

The lower the run, the steeper the slope. This means that the second ramp is steeper than the first ramp.

This can be confirmed by calculating the angle formed by each ramp. To determine the angle formed by the ramp with the horizontal, we would apply we would apply

the tangent trigonometric ratio.

Tan θ = opposite side/adjacent side.

Considering the first ramp,

Tan θ = 5/12 = 0.417

θ = Tan^-1(0.417)

θ = 22.6°

Considering the second ramp,

Tan θ = 6/3 = 2

θ = Tan^-1(2)

θ = 63.4°

The second ramp forms a greater angle. Thus, it is steeper.

8 0
3 years ago
Help Me!
puteri [66]

Answer:

<u>Given:</u>

  • DC ║ AB
  • CM = MB as M is midpoint of BC

i) <u>Since DN and BC are transversals, we have:</u>

  • ∠DCM ≅ ∠NBM and
  • ∠CDM ≅ ∠BNM as alternate interior angles

<u>As two angles and one side is congruent, the triangles are also congruent:</u>

  • ΔDCM ≅ ΔNBM (according to AAC postulate)

So their areas are same.

ii)

<u>The quadrilateral has area of:</u>

  • A(ADCB) = A(ADMB) + A(DCM)

<u>And the triangle has area of:</u>

  • A(ADN) = A(ADMB) + A(NBM)

Since the areas of triangles DCM and NBM are same, the quadrilateral ADCB has same area as triangle ADN.

5 0
3 years ago
Read 2 more answers
Find the number of 4-digit numbers that contain at least three odd digits.
Greeley [361]

Answer:

3000

Step-by-step explanation:

First find the 4 digit numbers that have all odd digits

Possible Odd digits  =5(1,3,5,7,9)  

So, total number of 4 digit numbers with odd digits can be calculated as  =5×5×5×5=625

Now find all the 4 digits numbers with at least 3 odd digits and the first digit as either 2,4,6,8 ( 0 would make it a 3 digit number)

The first digit can be 2,4,6,8

=4×5×5×5=500

Now find all the 4 digits numbers with at least 3 odd digits and the second digit as either 0,2,4,6,8

=5×5×5×5=625

Now find all the 4 digits numbers with at least 3 odd digits and the third digit as either 0,2,4,6,8

Now find all the 4 digits numbers with at least 3 odd digits and the second digit as either 0,2,4,6,8

=5×5×5×5=625

Now find all the 4 digits numbers with at least 3 odd digits and the fourth digit as either 0,2,4,6,8

=5×5×5×5=625

Add them together

625+500+625+625+625=3000

4 0
4 years ago
Read 2 more answers
NEED HELP ASAP! Arianna correctly simplified an expression. When she substituted \ into the simplified expression, the value was
erastova [34]

Answer:

<em>(1/6)(-10x - 4) = -4 </em>

Step-by-step explanation:

(1/6)(-3x - 24) = -4

=> -3x - 24 = -4 x 6

=> -3x - 24 = -24

=> -3x = 24 - 24

=> -3x = 0

=> x = 0 (not 2) => Incorrect option

(1/6)(-5x - 8) = -4

=> -5x - 8 = -4 x 6

=> -5x - 8 = -24

=> -5x = 8 - 24

=> -5x = -16

=> x = 16/5 (not 2) => Incorrect option

(1/6)(-10x - 4) = -4

=> -10x - 4 = -4 x 6

=> -10x - 4 = -24

=> -10x = 4 - 24

=> -10x = -20

=> x = 2 => Correct option

(1/6)(-12x - 16) = -4

=> -12x - 16 = -4 x 6

=> -12x - 16 = -24

=> -12x = 16 - 24

=> -12x = 8

=> x = -3/4 (not 2) => Incorrect option

=> Option C is correct

Hope this helps!

3 0
4 years ago
Read 2 more answers
What is 243,875 rounded<br><br> to the nearest tenth, hundredth, ten and hundred?
Irina18 [472]

Answer:

tenth: 243.9

hundredth: 243.88

ten: 240

hundred: 200

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
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