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Ugo [173]
3 years ago
7

What is the pattern? 128; 640; 3,200

Mathematics
1 answer:
nikklg [1K]3 years ago
6 0

Answer:

128×5=640

640×5=3200

Multiply by 5

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Write the volume of a cylinder with a base radius 3 m and height 8 m in terms of pi
IRISSAK [1]

Answer:

72π (in terms of pi)

Step-by-step explanation:

V = π·r²·h

Plug in the values.

V = π·3²·8

Solve.

V = 72π

To leave an equation in terms of pi, just square, multiply, and leave pi at the end.

3² = 9·8 = 72

72π

If you need the answer fully simplified, it is 226.19 (rounded up).

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3 years ago
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evablogger [386]

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Step-by-step explanation:

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If O is the center of the circle and ABC = 24 degrees, what is the measure of BDC?
Brilliant_brown [7]

Answer:

  ∠BDC = 66°

Step-by-step explanation:

∠OCB ≅ ∠OBC, so is 24°. ΔDBC is inscribed in a semicircle, so ∠DBC is a right angle. That makes ∠BDC complementary to ∠BCD:

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4 years ago
Find the max/min value of f(x) = 2x2 + 3x - 5
Lelechka [254]

Answer:

The minimum value is (-\frac{3}{4},-\frac{49}{8}) or  (-0.75,-6.125)

Step-by-step explanation:

we have

f(x)=2x^{2}+3x-5

This is the equation a vertical parabola open upward

The vertex represent a minimum

The general equation in vertex form is

f(x)=a(x-h)^2+k

where

(h,k) is the vertex

Convert the given function in vertex form

f(x)=2x^{2}+3x-5

Factor 2

f(x)=2(x^{2}+\frac{3}{2}x)-5

Complete the square

f(x)=2(x^{2}+\frac{3}{2}x+\frac{9}{16})-5-\frac{9}{8}

f(x)=2(x^{2}+\frac{3}{2}x+\frac{9}{16})-\frac{49}{8}

Rewrite as perfect squares

f(x)=2(x+\frac{3}{4})^{2}-\frac{49}{8}

The vertex is the point (-\frac{3}{4},-\frac{49}{8})

8 0
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