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Gemiola [76]
3 years ago
11

How do you estimate the sum of 198,260+31,900?

Mathematics
1 answer:
Vesnalui [34]3 years ago
4 0

To estimate an amount to the tenth we have 3 steps to follow: ...

STEP 2: We add the rounded numbers. ...

STEP 1: Round the summands.

STEP 2: Add the rounded numbers.

STEP 3: Look at the total amount of rounding.

We have rounded the two summands down.

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At noon, ship A is 170 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 20 km/h. How fast is
garik1379 [7]
Check the picture below.

now, keep in mind that ship B is going at 20kph, thus from noon to 4pm, is 4 hours, so it has travelled by then 20 * 4 or 80 kilometers, thus b = 80.

whilst the ship B is moving north, the distance "a" is not really changing, and thus is a constant, that matters because the derivative of a constant is 0.

\bf c^2=a^2+b^2\implies \stackrel{chain~rule}{2c\cfrac{dc}{dt}}=0+2b\cfrac{db}{dt}\implies \cfrac{dc}{dt}=\cfrac{b\frac{db}{dt}}{c}
\\\\\\
\begin{cases}
\frac{db}{dt}=20\\
c=10\sqrt{353}\\
b=80
\end{cases}\implies \cfrac{dc}{dt}=\cfrac{80\cdot 20}{10\sqrt{353}}\implies \cfrac{dc}{dt}=\cfrac{160}{\sqrt{353}}
\\\\\\
\textit{and rationalizing the denominator}\implies \cfrac{160\sqrt{353}}{353}

8 0
3 years ago
If f(x)=4x-2 and g(x)=-8x+7, find h(x)=f(x) - g(x)
user100 [1]

Answer:

h(x)=12x-9

Step-by-step explanation:

We are given the two functions:

f(x)=4x-2\text{ and } g(x)=-8x+7

And we want to find:

h(x)=f(x)-g(x)

So, by substitution:

h(x)=(4x-2)-(-8x+7)

Simplify. Distribute:

h(x)=(4x-2)+(8x-7)

Rearrange:

h(x)=(4x+8x)+(-2-7)

Combine like terms. Hence:

h(x)=12x-9

3 0
3 years ago
Please answer the question above and pick an answer choice from the ones provided
Ira Lisetskai [31]

Answer:

1,2 and 4 are equivalents. 3 is not equivalent

2P-I, mark that one :l

Step-by-step explanation:

3 0
2 years ago
.
ryzh [129]

Answer:

(1 ) Inner curved surface area of the well is  109.9 sq. meters.

(2) The cost of plastering the total curved surface area is  4396.

Step-by-step explanation:

The inner diameter = 3.5 m

Depth of the well =  10 m

Now, Diameter = 2 x Radius

⇒R = D/ 2  = 3.5/2 = 1.75

or, the inner radius of the well = 1.75 m

CURVED SURFACE AREA of cylinder = 2πr h

⇒The inner curved surface area =  2πr h  = 2 ( 3.14) (1.75)(10)

                                                                      = 109 sq. meters

Hence, the inner curved surface area of the well is  109.9 sq. meters.

Now, the cost of plastering the curved area is 40 per sq meters

So, the cost of total plastering total area = 109.9 x(Cost per meter sq.)

                                                                    =  109.9 x (40)

                                                                   =   4396

Hence, the cost of plastering the total curved surface area is  4396.

8 0
3 years ago
Results for a 20-point multiple choice math quiz are as follows: 9 students scored a 20,4 students
Ray Of Light [21]

Answer:

18 1/2 or 37/2

Step-by-step explanation:

To calculate the average of something, we add the numbers and divide by the count of those numbers. In this case, we have this as the sum of the numbers:

9 × 20 + 4 × 19 + 3 × 18 + 5 × 17 + 12

And the number of students as the count:

9 + 4 + 3 + 5 + 1

Now to calculate that out:

(9 × 20 + 4 × 19 + 3 × 18 + 5 × 17 + 12)/(9 + 4 + 3 + 5 + 1) ⇒

(180+76+54+85+12)/(9+4+3+5+1) ⇒

407/22 ⇒

37/2⇒

18 1/2

3 0
3 years ago
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