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3 years ago

Please help!!!!!!!!!!!!1.4.1 and 1.4.2 only

Mathematics

2 answers:

Ipatiy [6.2K]3 years ago

5 0

Answer:

Step-by-step explanation:

easy

azamat3 years ago

5 0

9514 1404 393

Answer:

1.4.1 35.34 mm²

1.4.2 113.10 mm

Step-by-step explanation:

1.4.1 There are 5 circles in the first two patterns. The area of one circle in terms of its diameter is ...

A = (π/4)d²

Then the area of the 5 circles is ...

A = 5(π/4)(3 mm)² = 45π/4 mm² ≈ 35.34 mm²

1.4.2 There are 12 circles in the first 3 patterns. The perimeter of one circle is given by the formula ...

P = πd

Then the total perimeter of the 12 circles is ...

P = 12π(3 mm) = 36π mm ≈ 113.10 mm

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olasank [31]

Answer:

Lilly only needed to cut off 15 feet.

Step-by-step explanation:

1 yard = 3 feet. Luna cut 5 yards, so she cut 15 feet off. Lilly, on the other hand, cut off 17 feet.

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3 years ago

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The graphs of the function f (given in blue) and g (given in red) are plotted above. Suppose that u(x)=f(x)g(x) and v(x)=f(x)/g(

Rus_ich [418]

U(x) = f(x).(gx)
v(x) = f(x) / g(x)

Use chain rule to find u(x) and v(x).

u '(x) = f '(x) g(x) + f(x) g'(x)

v ' (x) = [f '(x) g(x) - f(x) g(x)] / [g(x)]^2

The functions given are piecewise.

You need to use the pieces that include the point x = 1.

You can calculate f '(x) and g '(x) at x =1, as the slopes of the lines that define each function.

And the slopes can be calculated graphycally as run / rise of each graph, around the given point.

f '(x) = slope of f (x); at x = 1, f '(1) = run / rise = 1/1 = 1

g '(x) = slope of g(x); at x = 1, g '(1) = run / rise = 1.5/ 1 = 1.5

You also need f (1) = 1 and g(1) = 2

Then:

u '(1) = f '(1) g(1) + f(1) g'(1) = 1*2 + 1*1.5 = 2 + 1.5 = 3.5

v ' (x) = [f '(1) g(1) - f(1) g(1)] / [g(1)]^2 = [1*2 - 1*1.5] / (2)^2 = [2-1.5]/4 =

= 0.5/4 = 0.125

Answers:
u '(1) = 3.5
v '(1) = 0.125

3 0

3 years ago

-QUICK PLEASE-

Zepler [3.9K]

Answer:

Option B. 0.75 gallons is the right answer.

Step-by-step explanation:

Let the load of dishwasher used in house A = x gallons

Let the load of dishwasher used in house B is = y gallons

and similarly we assume for house C = z gallons

Now from the given question

On Friday amount of water used in all three houses = 17.5 gallons

From the table we will make the equation

x + 2y + 2z = 17.5-----(1)

For Saturday

2x + 3y + 4z = 31.5 ----(2)

For Sunday

2x + 2y + 3z = 24.75 -----(3)

By subtracting equation 3 from 2

y + z = 31.5 - 24.75 = 6.75 ------(4)

Equation (1) multiplied by 2 - equation (2)

2×(x + 2y + 2z) - (2x + 3y + 4z) = 17.5×2 - 31.5

y = 35 - 31.5 = 3.5

By putting y = 3.5 in the equation (4)

z = 6.75 - 3.5 = 3.25

By putting y = 3.5 and z = 3.25 in the equation (1)

x + 7 + 6.5 = 17.5

x = 17.5 - 13.5 = 4

Now the difference between load of dishwasher that uses least water and the most.

x - z = 4 - 3.25 = 0.75 gallons

Option B is the right answer.

6 0

4 years ago

Identify the value of p. Give your answers in simplest radical form. HELP PLEASE!!

VikaD [51]

Answer:

Step-by-step explanation:

using the cosine ratio to find p

cos 45° = $\frac{adjacent}{hypotenuse}$ = $\frac{6}{p}$

cross- multiplying gives

p × cos45° = 6 → [ cos 45° = $\frac{1}{\sqrt{2} }$ ]

p × $\frac{1}{\sqrt{2} }$ = 6

multiply both sides by $\sqrt{2}$

⇒ p = 6 $\sqrt{2}$ ( third option on list )

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3 years ago

One solution of x^2-64=0 is 8. what is the other solution?

ivann1987 [24]

X² - 64 = 0
(x - 8)(x + 8) = 0

x = - 8, 8

Your other solution is - 8

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3 years ago

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Please help!!!!!!!!!!!!1.4.1 and 1.4.2 only​

Please help!!!!!!!!!!!!1.4.1 and 1.4.2 only