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EastWind [94]
3 years ago
5

Find the lateral area of the cone in terms of π.

Mathematics
1 answer:
Andreyy893 years ago
8 0

Answer:

15\pi\ cm^{2}

Step-by-step explanation:

we know that

The lateral area of the cone is equal to

LA=\pi rl

where

r is the radius of the base

l is the slant height

we have

r=3\ cm

Applying the Pythagoras Theorem find the slant height

l^{2}=3^{2} +4^{2}\\ \\l^{2}=25\\ \\l=5\ cm

substitute in the formula

LA=\pi (3)(5)=15\pi\ cm^{2}

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Allisa [31]

Answer:

3x^2-6x+3=0

x^2-2x+1=0

x^2-x-x+1=0

x(x-1)-(x-1)=0

(x-1)(x-1)=0

x=1,1

so x has only one answer

so it intersects only one time

5 0
3 years ago
A hockey team can win, lose, or tie a match. It gets 2 points for a win, 0 points for a loss, and 1 point for a tie. It has lost
azamat
We will use W, L, and T for the number of wins, losses, and ties, respectively.

Using the provided information, we can create the following equation for the points.

2W + 0L + 1T = 30

We also know that there are 10 losses, we we can say the following:

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Now we have two equations that have the variables W and T. We can solve this system using substitution.

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So the answer is A.
4 0
4 years ago
You buy $1.25 lb of apples and $2.45 pounds of bananas. The total cost after using a $0.75 off coupon, is $2.58. Apples and Bana
larisa86 [58]

Answer:

$0.90 per pound

Step-by-step explanation:

Before the coupon credit, the total bill was $2.58 +0.75 = $3.33 for the 1.25 +2.45 = 3.7 pounds of fruit. The cost per pound is ...

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7 0
3 years ago
How do I solve this?
Hunter-Best [27]

9514 1404 393

Answer:

  • x = 10
  • y = 19

Step-by-step explanation:

Consecutive interior angles between parallel lines are supplementary.

Let's start with x.

  (8x +40)° +(6x)° = 180°

  14x +40 = 180 . . . . . . . . . divide by °, collect terms

  14x = 140 . . . . . . . . . subtract 40

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We can use the same approach for y:

  (7y)° +(3y -10)° = 180°

  10y = 190 . . . . . . . . . . . divide by °, add 10, collect terms

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3 years ago
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Maksim231197 [3]
Answer:

smaller: 30°

larger: 150°

Explanation:


1) Given: sinθ = 1/2

2) That is a notable value.


You know that sine ratio is 1/2 for angles 30° and 180 - 30° = 150°

3) Therefore the angles are: smaller= 30°, larger = 150°
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4 years ago
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