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Arada [10]
3 years ago
12

3 inches

Mathematics
1 answer:
Romashka [77]3 years ago
7 0

Answer:

8

3

Step-by-step explanation:

Volume of a cylinder = πr²h

Volume = 3207

Radius, r

Height, = 5

320π = π * 5 * r²

320 = * 5 * r²

320 = 5 * r²

r² = 320/ 5

r² = 64

r = 8 m

The lateral surface area of a cube is

LSA = 4s²

Where s = edge length

36 = 4s²

s² = 36/4

s² = 9

s =. sqrt(9)

s = 3

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Use the drawing tool(s) to form the correct answer on the provided number line. Consider the given functions. Function 1 Functio
Anna007 [38]

Both functions decrease at (-1, 2)

<h3>How to determine the decreasing intervals of the function?</h3>

The complete question is added as an attachment

The polynomial function f(x) is represented by the graph.

From the graph, the polynomial function decreases at (-2, 2)

The absolute function is given as;

f(x) = =5|x + 1| + 10

The vertex of the above function is

Vertex = (-1, 10)

Because a is negative (a= -5), the vertex is a maximum.

This means that the function decreases at (-1, ∞)

So, we have

(-2, 2) and (-1, ∞)

Combine both intervals

(-1, 2)

This means that both functions decrease at (-1, 2)

See attachment 2 for the number line that represents the interval where both functions are decreasing

Read more about function intervals at:

brainly.com/question/27831985

#SPJ1

3 0
1 year ago
7. In the accompanying diagram of rhombus CDEF, diagonal FD is drawn and the
tatiyna

Answer:

m∠CFD is 70°

Step-by-step explanation:

In the rhombus

  • Diagonals bisect the vertex angles
  • Every two adjacent angles are supplementary (their sum 180°)

Let us solve the question

∵ CDEF is a rhombus

∵ ∠E and ∠F are adjacent angles

→ By using the second property above

∴ ∠E and ∠F are supplementary

∵ The sum of the measures of the supplementary angles is 180°

∴ m∠E + m∠F = 180°

∵ m∠E = 40°

∴ 40° + m∠F = 180°

→ Subtract 40 from both sides

∵ 40 - 40 + m∠F = 180 - 40

∴ m∠F = 140°

∵ FD is a diagonal of the rhombus

→ By using the first property above

∴ FD bisects ∠F

→ That means FD divides ∠F into 2 equal angles

∴ m∠CFD = m∠EFD = \frac{1}{2} m∠F

∴ m∠CFD = \frac{1}{2} (140°)

∴ m∠CFD = 70°

6 0
3 years ago
I’ll give brainly
tresset_1 [31]

Answer:

take 45 degree as reference angle

use sin rule

sin 45=opposite/hypotenuse

1/\sqrt{2}=b/10(do cross multiplication)

b\sqrt{2}=10

b=10/\sqrt{2}

Step-by-step explanation:

6 0
3 years ago
Is 2 yards greater than 5 feet explain
kicyunya [14]

Answer:

Yes, 2 yards is greater than 5 feet. 1 yard is equal to 3 feet, so 2 yards is equal to 6 feet. 6 feet is more than 5 feet.

3 0
3 years ago
Daniella collected 4242 bushels of peas from her garden today. Tomorrow she will send \frac{3}{7} 7 3 ​ of the peas to market. H
Vaselesa [24]

Answer: 24

Step-by-step explanation:

Amount of bushels of peas collected = 42

Fraction that'll be sent to market = 3/7

Fraction that'll be kept = 1 - 3/7 = 7/7 - 3/7 = 4/7

The number of bushels that'll be kept will be:

= Fraction that'll be kept × Total number of bushels collected

= 4/7 × 42

= 24

7 0
3 years ago
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