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3 years ago

For each equation below find y if x = 2

Mathematics

2 answers:

Charra [1.4K]3 years ago

6 0

A.
y = 7 - |x| = 7 - 2 = 5

b.
y = x² - 1 = 2² - 1 = 4 - 1 = 3

c.
y = √(x + 14) = √(2 + 14) = √16 = 4

Basile [38]3 years ago

6 0

5
3
4
Blah blah blah(20 characters)

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Find the volume of a cone with a diameter of 12 cm and a height of 7 m

Stells [14]

Answer:

263.76 m^3

Step-by-step explanation:

Using 3.14 as pi

pi * radius^2 * height / 3

3.14 * 6^2 * 7 / 3

3.14 * 36 * 7 /3

3.14 * 252 /3

3.14 * 84

263.76

5 0

2 years ago

Please answer this in two minutes

diamong [38]

Answer:

366.6 mm²

Step-by-step explanation:

Step 1: find XY using the Law of sines.

Thus,

$\frac{XY}{sin(W)} = \frac{WY}{sin(X)}$

m < W = 180 - (70+43) (sum of angles in a triangle)

W = 180 - 113 = 67°

WY = 24 mm

X = 43°

XY = ?

$\frac{XY}{sin(67)} = \frac{24}{sin(43)}$

Cross multiply:

$XY*sin(43) = 24*sin(67)$

$XY*0.68 = 24*0.92$

Divide both sides by 0.68 to solve for XY

$\frac{XY*0.68}{0.68} = \frac{24*0.92}{0.68}$

$XY = 32.47$

XY ≈ 32.5 mm

Step 2: find the area using the formula, ½*XY*WY*sin(Y).

Area = ½*32.5*24*sin(70)

Area = ½*32.5*24*0.94

= 32.5*12*0.94

Area = 366.6 mm² (nearest tenth)

6 0

3 years ago

Linda West, a dental lab technician, pays three times as much

Natalka [10]

9514 1404 393

Answer:

vision: $13.50
dental: $40.50
health: $162.00

Step-by-step explanation:

Let d, v, h represent the costs of dental, vision, and health insurance, respectively. The cost relations are ...

d = 3v . . . . . . . . . . . . . . . dental is 3 times vision

h = 3(v +d) . . . . . . . . . . . health is 3 times vision and dental combined

d + v + h = 9360 . . . . . annual premium

Substituting for h, we have ...

d + v + (3(d +v)) = 9360

Substituting for d, we have ...

3v +v +3(3v +v) = 9360

16v = 9360

v = 585

d = 3v = 1755

h = 3(d+v) = 7020

These are the total annual premiums. Linda pays 1/26 of 60% of this every two weeks. That fraction is 0.60/26 = 3/130.

a) Linda's biweekly vision insurance deduction is (585)(3/130) = $13.50

b) Linda's biweekly dental insurance deduction is (1755)(3/130) = $40.50

c) Linda's biweekly health insurance deduction is (7020)(3/130) = $162.00

_____

Additional comment

We know dental is 3v and health is 3(3v+v) = 12v = 4d. That is, once we find Linda's share of the biweekly vision premium, we can find the others by multiplying it by a suitable factor.

6 0

3 years ago

Can Some one please help me on these math questions I'll give 20 points please

MArishka [77]

Answer:

☐ -2 < 2x + 4

☐ -3x - 2 > 5

Step-by-step explanation:

-3x - 2 > 5

+ 2 + 2

___________

-3x > 7

___ ___

-3 -3

x < -2⅓ [Anytime you divide or multiply by a negative, reverse the inequality symbol.]

-2 < 2x + 4

-4 - 4

___________

-6 < 2x

__ ___

2 2

-3 < x

If you plug in -3 for x < -2⅓, you will see that it is a genuine statement because the more higher a negative gets, the lesser the integer will be, so in this case, -3 IS less than -2⅓.

I am joyous to assist you anytime.

** If it is not multi-select, then choose -2 < 2x + 4.

4 0

3 years ago

Which statement is sometimes true:

Lelu [443]

Answer:

4. A rectangle is a square

Step-by-step explanation:

A rectangle can be a square, but not always. A rectangle has 2 pairs of parallel sides, 2 pairs of congruent sides, and 4 right angles. Squares have 2 pairs of parallel sides, 4 congruent sides, and 4 right angles. So, the difference between the two is that adjacent sides are not necessarily congruent in rectangles, but they are in squares. This means that some rectangles can be a square. If a rectangle has all congruent sides, then it is a square. On the other hand, some rectangles do not have all congruent sides, and thus are not squares.

6 0

2 years ago