All categories

3 years ago

Convert 4/12 into a decimal round to the nearest tenths place

Mathematics

1 answer:

zimovet [89]3 years ago

5 0

Answer:

0.3

Step-by-step explanation:

4 divided by 12 is .333333333… and the tenths place is right after the decimal point. ex: 5.67 with 6 being in the tenths place. since 3 can’t be rounded upto add onto the tenths place, it stays as .3.

You might be interested in

The surface areas of the two solids shown above are equal.<br> A. True<br> B. False

Hunter-Best [27]

The answer is false.

3 0

3 years ago

Read 2 more answers

Marsha initially deposited $98,232 into her checking account in January. She deposited $14,443 into her account at the beginning

rusak2 [61]

Equation = 14,443x + 98,232
February till April = 3 months
14,443(3) + 98232 = $141,561

8 0

3 years ago

Read 2 more answers

Thomas wrote the expanded form of (Five-halves) Superscript 4 below.

Masja [62]

Answer:

The Answer Is A

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

The length of a rectangle is increasing at a rate of 4 cm/s and its width is increasing at a rate of 8 cm/s. When the length is

iVinArrow [24]

Answer:

Step-by-step explanation:

$A = lw \nl\frac{\dA}{\dt}$ = $\frac{\dA}{\text{d}l}\frac{\text{d}l}{\dt} + \frac{\dA}{\text{d}w}\frac{\text{d}w}{\dt}$ = $w\frac{\text{d}l}{\dt} + l\frac{\text{d}w}{\dt}$ $\nll = 20 \text{ cm}$ \;\; $\frac{\text{d}l}{\dt} = 8 \text{ cm/s}$ \;\;w = 10 \text{ cm}, \;\; $]\frac{\text{d}w}{\dt} = 3 \text{ cm/s}$ $\nl\frac{\dA}{\dt} =( 10 \text{ cm} )( 8 \text{ cm/s} ) + ( 20 \text{ cm} )( 3 \text{ cm/s} ) =140 \text{ cm}^2\!\text{/s}
$

7 0

3 years ago

Amir throws a stone off of a bridge into a river. The stone's height (in meters above the water) ttt seconds after Amir throws i

Harrizon [31]

Answer:

1) The vertex form of $h(t) = -5\cdot t^{2}+20\cdot t +160$ is $h -180 = -5\cdot (t-2)^{2}$ , 2) The stone reaches its maximum height 2 seconds after being thrown.

Step-by-step explanation:

1) Given that height of the stone is represented by a second-order polynomial, which depicts a parabola as graph. The best approach to determine the instant when stone reaches its highest is by vertex form, whose form is:

$h-k = C\cdot (t-r)^{2}$

Where:

$r$ , $k$ - Instant and maximum height of the stone, measured in seconds and meters.

$C$ - Vertex constant, which must be negative as there is an absolute maximum, measured in meters per square second.

Let be $h(t) = -5\cdot t^{2}+20\cdot t +160$ , which is transformed into vertex form:

i) $h = -5\cdot t^{2}+20\cdot t +160$ Given

ii) $h = -5\cdot (t^{2}-4\cdot t -32)$ Distributive property/ $(-a)\cdot b = -a\cdot b$

iii) $h = -5\cdot [(t^{2}-4\cdot t +4)+(-36)]$ Existence of additive inverse/Definitions of addition and subtraction

iv) $h = (-5)\cdot (t-2)^{2}+180$ Distributive property/ $(-a)\cdot (-b) = a\cdot b$ /Perfect square binomial

v) $h -180 = -5\cdot (t-2)^{2}$ Compatibility with addition/Existence of additive inverse/Modulative property/Definition of subtraction/Result

The vertex form of $h(t) = -5\cdot t^{2}+20\cdot t +160$ is $h -180 = -5\cdot (t-2)^{2}$ .

2) The time can be extracted from previous results, which indicates that stone reaches its maximum height 2 seconds after being thrown.

4 0

3 years ago