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Helga [31]
3 years ago
11

Help!!!!!!!

Mathematics
1 answer:
Step2247 [10]3 years ago
4 0

Question 1 is either B or D

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A cone with radius 5 units is shown below. Its volume is 105 cubic units. Find the height of the cone.
Ainat [17]

Answer:

height of the cone  = 4.01273885 units

Step-by-step explanation:

Volume of a cone(V) is given by:

V = \frac{1}{3} \pi r^2h             ....[1]

where,

r is the radius and h is the height of the cone.

As per the statement:

A cone with radius 5 units and ts volume is 105 cubic units

⇒r = 5 units and V = 105 cubic units

Substitute these given values and use \pi = 3.14 in [1] we have;

105 = \frac{1}{3} \cdot 3.14 \cdot 5^2 \cdot h

Multiply both sides by 3 we have;

⇒315 = 78.5 \cdot h

Divide both sides by 78.5 we have;

4.01273885 = h

or

h = 4.01273885 units

Therefore, the height of the cone is, 4.01273885 units

6 0
3 years ago
Read 2 more answers
The sum of 28+29+42=99. So what addition property was used Commutative, associative, identity, or distributive ?
IrinaVladis [17]

28 + 29 + 42 = 28 + 42 + 29 = 99

Commutative property: a + b = b + a

3 0
3 years ago
Step 3: 2x > 10 Step 4: x > 5 What property justifies the work between step 3 and step 4? A. division property of inequali
BigorU [14]

Answer:

A. Division property of inequality.

Step-by-step explanation:

Let be 2\cdot x > 10, we proceed to show the appropriate procedure to step 4:

1) 2\cdot x >10 Given

2) x > 5 Compatibility with multiplication/Existence of multiplicative inverse/Associative property/Modulative property/Result. (Division property of inequality)

In consequence, the division property of inequality which states that:

\forall\, a, b, c \in \mathbb{R}. If c > 0, then:

a> b\,\longrightarrow a\cdot c > b\cdot c \,\lor\, a

But if c < 0, then:

a> b\,\longrightarrow a\cdot c < b\cdot c \,\lor\, a b\cdot c

Hence, correct answer is A.

5 0
3 years ago
Every sequence written in explicit form can be rewritten in recursive form AND every sequence written in recursive form can be r
sasho [114]

Answer:

False

Step-by-step explanation:

It makes no sense......

4 0
3 years ago
WILL GIVE BRAINLIEST: What is the local minimum value of the function g(x)=x^4-5x^2+4? (Round answer to the nearest hundredth)
IrinaK [193]

Answer:

Step-by-step explanation:

you can find where the first derivative is 0 to find the critical points

g'(x) = ( x^4 -5x^2 +4)' = 4x³-10x

g'(x) =0, make y =0 to find find where g'(x) is 0

4x³-10x =0 , factor 2x

2x(2x²-5)= 0 , each factor must be 0

2x= 0, so x= 0

2x²-5 =0, so x = ±√5/2

we now have 3 critical points -√5/2, 0, and √5/2

make intervals (-∞, -√5/2), (-√5/2, 0) , (0, √5/2) and (√5/2, +∞)

pick a point to test on each interval: -2, -1, 1 and 2 for example, and

calculate g'(x) = 4x³-10x at those points

for x= -2 we have 4(-2)³-10(-2) = -12 , negative number, decrease

for x= -1 we have 4(-1)³-10(-1) =6, positive number, increase

for x= 1 we have 4(1)³-10(1) = -6, negative number, decrease

for x= 2 we have 4(2)³-10(2) = 12, positive number, increase

we went from a decrease to an increase on intervals (-∞, -√5/2), (-√5/2, 0) so x= - √5/2 ≈ -1.58 is a minimum

we went from a decrease to an increase on intervals (0, √5/2), (√5/2, +∞) so

x= √5/2 ≈ 1.58 is a minimum as well

4 0
3 years ago
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