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Anna71 [15]
3 years ago
9

Amy works at a surf shop at the beach during the summer. She is paid at a rate of $4 each hour, plus she

Mathematics
1 answer:
padilas [110]3 years ago
3 0

Answer:

4h+.07s

Step-by-step explanation:

four dollars per hour plus 7 percent of her sales

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What substitution should be used to rewrite 4x^4-21x^2+20=0 as a quadratic equation
Andreyy89

let y = x^2

4y^2 -21y + 20 = 0

solve for y

then substitute back in to get x

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3 years ago
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What is the shape of the cross-section formed when a plane containing line AC and line EH intersects this cube? What is the area
velikii [3]

Answer:

Cross section is a rectangle.

Area of cross section = 16 sqrt(2) = 22.63 sq. units (to 2 decimals)

Step-by-step explanation:

Given a cube.

top face ABCD is parallel and congruent to bottom face EFGH  ........(1)

justified by the properties of cubes

Sides AE and CH are perpendicular to faces ABCD and EFGH ..........(2)

justified by the properties of cubes

Diagonals AC and EH are congruent ......................(3)

justified by (1), congruent top and bottom faces  

Consider cross-section ACHE

AC is congruent and parallel to  EH   (1) & (3)

EA & HC are perpendicular to AC      (2)

Therefore the quadrilateral ACHE is a rectangle.

Length of diagonal AC = sqrt(4^2+4^2) = 4 sqrt(2)  ..........pythagoras theorem

AE = CH = DG = 4      properties of cube, all sides equal

Area of ACHE = 4* 4sqrt(2) = 16 sqrt(2) = 22.63 sq. units

4 0
3 years ago
ASAP!!!<br> Find the zero of the function f(x) = -8x + 4.<br> a. -1/2<br> b. 2<br> c. -2<br> d. 1/2
Katyanochek1 [597]

Answer:

D. 1/2

Step-by-step explanation:

Because if you choose A , you get +4

if you choose B ,you get -12

Choose C , you get +20

D is the correct answer.

6 0
3 years ago
Given: ∆ABC, AC = 12,<br> AB = BC = 10<br> Find: m∠A, m∠C, m∠B
4vir4ik [10]

Answer:

  • m∠A ≈ 53.13°
  • m∠B ≈ 73.74°
  • m∠C ≈ 53.13°

Step-by-step explanation:

An altitude to AC bisects it and creates two congruent right triangles. This lets you find ∠A = ∠C = arccos(6/10) ≈ 53.13°.

Since the sum of angles of a triangle is 180°, ∠B is the supplement of twice this angle, so is about 73.74°.

  m∠A = m∠C ≈ 53.13°

  m∠B ≈ 73.74°

_____

The mnemonic SOH CAH TOA reminds you of the relation between the adjacent side, hypotenuse, and trig function of an angle:

  Cos = Adjacent/Hypotenuse

If the altitude from B bisects AC at X, triangle AXB is a right triangle with side AX adjacent to the angle A, and side AB as the hypotenuse. AX is half of AC, so has length 12/2 = 6, telling you the cosine of angle A is AX/AB = 6/10.

A diagram does not have to be sophisticated to be useful.

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3 years ago
A bacteria culture starts with 120 and after 3 hours the population consists of 200 bacteria. What is the rate of the increase t
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The rate of the increase to the nearest percent is 30 percent
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