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irga5000 [103]
3 years ago
8

A cone and a cylinder have equal volume and bases of the same diameter if the height of the cone is 36 CM what is the height of

the cylinder
Mathematics
1 answer:
Oliga [24]3 years ago
5 0
About 34 CM Height

Step By Step explanation
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I did them in the attachments below. Hope this helped!

4 0
3 years ago
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Hi! Can some please explain how to evaluate these two questions, so that I can understand how to complete them?
Bogdan [553]

Answer:

1. 16/65

2. 44/117

Step-by-step explanation:

1. cos(θ−x)

Start with angle difference formula.

cos θ cos x + sin θ sin x

-4/5 cos x − 12/13 sin θ

Use Pythagorean identity to find cos x and sin θ.

sin² x + cos² x = 1

(-12/13)² + cos² x = 1

cos² x = 25/169

cos x = ±5/13

Since x is in the fourth quadrant, cos x > 0.  So cos x = 5/13.

sin² θ + cos² θ = 1

sin² θ + (-4/5)² = 1

sin² θ = 9/25

sin  θ = ±3/5

Since θ is in the third quadrant, sin θ < 0.  So sin θ = -3/5.

Plug values in and solve:

-4/5 (5/13) − 12/13 (-3/5)

-20/65 + 36/65

16/65

2. tan(θ+φ)

Use angle sum formula:

(tan θ + tan φ) / (1 − tan θ tan φ)

(tan θ − 7/24) / (1 + 7/24 tan θ)

Use Pythagorean theorem to find cos θ.

sin² θ + cos² θ = 1

(-3/5)² + cos² θ = 1

cos² θ = 16/25

cos θ = ±4/5

Since θ is in the third quadrant, cos θ < 0.  So cos θ = -4/5.

Therefore, tan θ = sin θ / cos θ = (-3/5) / (-4/5) = 3/4.

(3/4 − 7/24) / (1 + (7/24) (3/4))

(18/24 − 7/24) / (1 + 7/32)

(11/24) / (39/32)

(11/24) (32/39)

44/117

7 0
3 years ago
Which number best represents the location of point A on the number line shown?
cluponka [151]

B) 7 \frac{3}{10}

This is the only fraction that converts into 7.3 (location of point a).

Let me convert it for you

7 \frac{3}{10}  \\ \\ \frac{73}{10} \\ \\ 7.3

The location of point A is 7.3

4 0
3 years ago
Addison is making Caramel apples. She has 2 1/2 bags of apples. One bag has 8 apples, and each apple weighs 5 ounces
andrey2020 [161]

Answer:

The expression that can be used is :

Number of bags x Number of apples in a bag x Weight of 1 apple

The total weight of apples in 2 1/2 bags of apples   = 100 ounces.

Step-by-step explanation:

The given question is INCOMPLETE.

Addison is making caramel apples. She has 2 1/2 bags of apples. One full bag has 8 apples, and each apple weighs 5 ounces. Write an expression that could be used to find the total number of ounces of apples Addison has. Then find the total number of ounces.

Now, here the weight of 1 apple  = 5 ounces

1 bag = 8 apples

⇒ Weight of 8 apples  = 8 x ( weight of 1 apple)  = 8 x (5 oz)  = 40 oz

⇒ Total weight of 1 bag of apples  = 40 oz

Now, the total bags of Apples Addison has  = 2 1/2 bag  

=  2 +  1/2 bag = 2. 5 bag

So, the weight of apples in 2.5 such bags = 2.5 x ( Weight in 1 bag)

=  2.5 ( 40 oz)  = 100 oz

Hence, the total weight of apples in 2 1/2 bag  = 100 ounces.

The expression that can be used

= Number of bags x Number of apples in a bag x Weight of 1 apple

= 2 1/2 x 8 x (5 oz)

3 0
4 years ago
The___of an equation is formed by all the points in the plane that make it true
padilas [110]

Answer:

The answer for your question would be Graph :)

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