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DaniilM [7]
3 years ago
12

What number is 74% of 58

Mathematics
1 answer:
Alex787 [66]3 years ago
7 0

Answer: I’m almost positive the answer is B. N= 0.74 x 58;42.9

The reason I think it’s B is because that’s the only one that really makes sense to me, N would be number right, and if you multiply 0.74 and 58 you would get 42.92 and you would just round that down

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Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. Illustra
Rainbow [258]

Answer:

x = t

y = 1 - t

z = 2t

Step-by-step explanation:

Given

x=t

y=e^{-t}

z=2t-t^2

(0, 1, 0)

The vector equation is given as:

r(t) = (x,y,z)

Substitute values for x, y and z

r(t) = (t,\ e^{-t},\ 2t - t^2)

Differentiate:

r'(t) = (1,\ -e^{-t},\ 2 - 2t)

The parametric value that corresponds to (0, 1, 0) is:

t = 0

Substitute 0 for t in r'(t)

r'(t) = (1,\ -e^{-t},\ 2 - 2t)

r'(0) = (1,\ -e^{-0},\ 2 - 2*0)

r'(0) = (1,\ -1,\ 2 - 0)

r'(0) = (1,\ -1,\ 2)

The tangent line passes through (0, 1, 0) and the tangent line is parallel to r'(0)

It should be noted that:

The equation of a line through position vector a and parallel to vector v is given as:

r(t) = a + tv

Such that:

a = (0,1,0) and v = r'(0) = (1,-1,2)

The equation becomes:

r(t) = (0,1,0) + t(1,-1,2)

r(t) = (0,1,0) + (t,-t,2t)

r(t) = (0+t,1-t,0+2t)

r(t) = (t,1-t,2t)

By comparison:

r(t) = (x,y,z) and r(t) = (t,1-t,2t)

The parametric equations for the tangent line are:

x = t

y = 1 - t

z = 2t

7 0
3 years ago
The length and width of a rectangle are 19.2 cm and 12.4cm respectively. Find the angle between a diagonal and the shorter side
Daniel [21]

9514 1404 393

Answer:

  57.1°

Step-by-step explanation:

The sides of the rectangle are adjacent and opposite the angle, so the measure is ...

  α = arctan(opposite/adjacent) = arctan(19.2/12.4) ≈ 57.1°

The angle between the diagonal and the short side is about 57.1°.

8 0
3 years ago
Note: Figure is not drawn to scale.
ycow [4]

Answer:130 I think I’m not real sure

Step-by-step explanation:

6 0
3 years ago
(d) Sandy’s gross annual income is $51,350. She is paid biweekly and has 5% deducted from her paycheck for her 403(b). Her emplo
worty [1.4K]

Based on the annual income, the payment period, and the amount deducted for the 403(b), the amount deposited into Sandy's 403(b) is $220.

<h3>How much is deposited into Sandy's 403(b)?</h3>

First find the biweekly income:

= 51,350 / (52 weeks / 2 )

= 51,350 / 21 weeks

= $2,445.24

5% is deducted from her wages and the employer matches 4% of the salary. The amount deposited is:

= (5% + 4%) x 2,445.24

= $220

Find out more on 403(b) at brainly.com/question/2908111.

8 0
2 years ago
A convex polygon has 4 sides what is the sum of the measures of its interior angles
zhenek [66]

Answer:

If a convex polygon has n sides, then its interior angle sum is given by the following equation: S = ( n −2) × 180°.

Step-by-step explanation:

Where S is the angle-sum, and n is the number of sides. (2n-4) x 90 where n is the number of sides.

4 0
3 years ago
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