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3 years ago

Use the figure to answer the question.

Mathematics

1 answer:

anastassius [24]3 years ago

5 0

Answer:

1 <2 and <5

2 43

3 35

4 <3 and <5

5 75

6 <XYZ

7 ZX

8 (-4,4)

9 acute, right, obtuse

10 equilateral, acute

11 rhombus, square

12 540

13 80

14 169

15 A

16 105 in.2

17 C

18 counterclockwise 90 rotation; reduction

Step-by-step explanation:

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VERY IMPORTANT I NEED HELP!!!

Advocard [28]

Answer:

2√3

Step by step Explanation:

$= > \frac{ \sqrt{96} }{ \sqrt{8} } \\ \\ = > \frac{ \sqrt{12 \times 8} }{ \sqrt{8} } \\ \\ = > \frac{ \sqrt{12} \times \sqrt{8} }{ \sqrt{8} } \\ \\ = > \sqrt{12} \\ \\ = > \sqrt{4 \times 3} \\ \\ = > \sqrt{2 \times 2 \times 3} \\ \\ = > 2 \sqrt{3}$

3 0

3 years ago

Consider the following problem: a box with an open top is to be constructed from a square piece of cardboard, 3 feet wide, by cu

Alecsey [184]

Answer:

) See annex

b) See annex

x = 0,5 ft

y = 2 ft and

V = 2 ft³

Step-by-step explanation: See annex

c) V = y*y*x

d-1) y = 3 - 2x

d-2) V = (3-2x)* ( 3-2x)* x ⇒ V = (3-2x)²*x

V(x) =( 9 + 4x² - 12x )*x ⇒ V(x) = 9x + 4x³ - 12x²

Taking derivatives

V¨(x) = 9 + 12x² - 24x

V¨(x) = 0 ⇒ 12x² -24x +9 = 0 ⇒ 4x² - 8x + 3 = 0

Solving for x (second degree equation)

x =[ -b ± √b²- 4ac ] / 2a

we get x₁ = 1,5 and x₂ = 0,5

We look at y = 3 - 2x and see that the value x₂ is the only valid root

then

x = 0,5 ft

y = 2 ft and

V = 0,5*2*2

V = 2 ft³

7 0

3 years ago

Can anyone math experts help and guide me through these questions❓

Lubov Fominskaja [6]

Step-by-step explanation:

The volume of a cube is

$a {}^{3}$

where a is the side length,

Note: If you want to remember this formula, know that a cube is basically a bunch of squares stacked on one another vertically and horizontally

The area of a square with side length a, is

${a}^{2}$

If we multiply that by the height of the cube, which is a.

${a}^{2} \times a = {a}^{3}$

That is the easy way to derive the formula of the volume of a cube.

Back on track, we know the volume so we must solve for a.

$125 = {a}^{3}$

Assuming you took algebra, to isolate the variable a, we must undo it being raised to the third power.

To do this, we take the cube root of both sides

$\sqrt[3]{125} = \sqrt[3]{a {}^{3} }$

The cube root of 125 is 5 so

$5 = a$

5 cm

$8 = {a}^{3}$

$\sqrt[3]{8} = \sqrt[3]{ {a}^{3} }$

$2 = a$

2 ft

$343 = {a}^{3}$

$a = 7$

7 yd

$1000 = a {}^{3}$

$10 = a$

10 mm

$1728 = {a}^{3}$

$a = 12$

12 in. or 1 ft

$1 = {a}^{3}$

$a = 1$

1 m

4 0

2 years ago

Read 2 more answers

What is 2153 divided by 6

9966 [12]

Answer:

358.833333333:

8 0

3 years ago

Read 2 more answers

How to get from 90 to 100 using multiplication or division

Nutka1998 [239]

Answer:

multiply 10 and divide by 9

Step-by-step explanation:

you multiply 90 by 10 and get 900 then divide 900 by 9 and u get 100

5 0

3 years ago