Answers
Answer:
[tex] \huge \boxed{ \tt i)1.6} \\ \huge \boxed{ \tt ii)4.3} \\ \huge \boxed{ \tt iii)8.3} \\ \huge \boxed{ \: \: \: \: \tt iv)9.2 \: \: \: }[/tex]
Step-by-step explanation:
to understand thisyou need to know about:square rootfinding square root by division methodconverting decimal to a fractionPEMDAStips and formulas:tips for finding square root by division method
Group the digits in pairs, starting with the digit in the units placeThink of the largest number whose square is equal to or just less than the first period. Take this number as the divisor and also as the quotient.Subtract the product of the divisor and the quotient from the first period and bring down the next period to the right of the remainder. the new divisor is obtained by taking two times the quotient and annexing with it a suitable digit which is also taken as the next digit of the quotient, chosen in such a way that the product of the new divisor and this digit is equal to or just less than the new dividend. Repeat steps till all the periods have been taken uptips for converting decimal to a fraction
Write down the decimal divided by 1Multiply both top and bottom by 10 for every number after the decimal pointreduce the fractionlet's solve:solve the square roots using division method:
the picture is attachedsolve the square roots by converting decimals into fraction:
[tex] \tt i) \sqrt{2.56} \\ \tt \sqrt{ \frac{256}{100} } \\ \tt \sqrt{ \frac{1 {6}^{2} }{ {10}^{2} } } \\ \tt\frac{16}{10} \\ \tt \: 1.6[/tex]
[tex] \tt ii) \sqrt{18.49} \\ \tt \sqrt{ \frac{1849}{100} } \\ \tt\sqrt{ \frac{ {43}^{2} }{ {10}^{2} } } \\ \tt \frac{43}{10} \\ \tt 4.3[/tex]
[tex] \tt iii) \sqrt{ 68.89} \\ \tt \sqrt{ \frac{6889}{100} } \\ \tt \sqrt{ \frac{ {83}^{2} }{ {10}^{2} } } \\ \tt \frac{83}{10} \\ \tt 8.3[/tex]
[tex] \tt iv) \sqrt{84.64} \\ \tt\sqrt{ \frac{8464}{100} } \\ \tt\sqrt{ \frac{ {92}^{2} }{ {10}^{2} } } \\ \tt \frac{92}{10} \\ \tt9.2[/tex]
Answer:
1.6
4.3
8.3
9.2
Step-by-step explanation:
Hope it is helpful....
Related Questions
15 points!!! Help!! Find x. Round to the nearest tenth
Answers
Answer:
So let the hypotenuse be
x
:
sin
(
47
°
)
=
opposite side
x
sin
(
47
°
)
=
12
x
To solve for
x
, divide
sin
(
47
°
)
by
12
:
x
=
12
sin
(
47
°
)
x
≈
16
Step-by-step explanation:
Answer: 16
Reason: bc it just is
Hey can someone please help me
Answers
The vertex is located at (h,k)
The two roots p and q can be defined as such
p = h-rq = h+rwhere r is the horizontal distance between the vertex and either root. We use the same r value for each equation because of symmetry. The diagram below shows what I mean.
Let's add up those two equations to get
p+q = 2h
The left hand sides p and q add to p+q. The right hand sides add to (h-r)+(h+r) = 2h. Note the r's cancel.
From here, we divide both sides by 2 and we end up with
h = (p+q)/2
In short, if we know the roots p and q, then we find the x coordinate of the vertex (h) to be the average of those roots. You add up the roots and then divide by 2.
After you figure out the value of h, finding the value of k will have us plug in this h value into the quadratic equation and simplifying.
------------------------
Example:
Let's say we have the quadratic y = x^2 - 8x + 12. This factors to (x-2)(x-6)
Solving (x-2)(x-6) = 0 shows that x-2 = 0 becomes x = 2 and x-6=0 becomes x = 6.
So the roots here are p = 2 and q = 6. The order of the roots doesn't matter.
Averaging these roots gives us
h = (p+q)/2
h = (2+6)/2
h = 8/2
h = 4
The x coordinate of the vertex is x = 4.
Plug this back into the original equation to find...
y = x^2 - 8x + 12
y = (4)^2 - 8(4) + 12
y = 16 - 32 + 12
y = -16 + 12
y = -4
Or you could say
y = x^2 - 8x + 12
y = (x-2)(x-6)
y = (4-2)*(4-6)
y = (2)*(-2)
y = -4
Either way, we find that k = -4 is the y coordinate of the vertex
The vertex for this example is located at (h,k) = (4, -4)
Refer to the diagram below.
Help meee !!! Last question
Answers
Answer:
It'll be 2. Equation 1 will be 4 times larger than equation 2,
exp. 1. 21/3*4
= 7*4
=28
exp 2. 21/3
= 7
Hence, it is four times
Hope it helped
All the best!! ♥
6. Stacy has 3 lb of grapes to make 10 bowls of fruit salad. If her recipe calls
for 4 oz of grapes per bowl, will she have enough grapes? How much leftover
does she have, or how much extra is needed?
Answers
Answer:
4.8oz
Step-by-step explanation:
So 1lb=16oz
16x3=48oz
48/10=4.8
Distributing them out she has little over enough for all 10
She will have half pound or 8 oz of grapes leftover.
What is unit conversion?The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.
Given, Stacy has 3 lb. of grapes to make 10 bowls of fruit salad.
Since, 1 lb. = 16 oz.
So, Stacy has total grapes = 48 oz.
1 bowl of fruit salad Required = 4 oz. of grapes
Thus,
10 bowl of fruit salad required = 40 oz. of grapes
So, Leftover grapes = 48 -40
Leftover grapes = 8 oz or 1/2 lb.
Therefore, She will have half pound of grapes leftover.
Learn more about unit conversion here:
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Jackson bought snacks for his team's practice. He bought a bag of oranges for $1.61 and a 6-pack of juice bottles. The total cost before tax was $13.19. How much was each bottle of juice?
Answers
Answer:
$1.93
Step-by-step explanation:
From the total (13.19), subtract the cost of the oranges (1.61). That would equal 11.58, which is the cost of the 6-pack of juice bottles. Then, divide 11.58 by 6 to determine the cost of each bottle.
Each bottle = $1.93
Hope this helps!!
6700 dollars is placed in an account with an annual interest rate of 8%. How much will be in the account after 24 years, to the nearest cent
Answers
Answer:
Step-by-step explanation:
The answer depends on whether the interest is simple or compound.
For simple interest:
A = 670(1 + 0.08)(24)
For compound interest
A = 670(1 + 0.08)24
Answer:
???????
Step-by-step explanation:
What is the measure of angle x?
A right angle is shown divided into two parts. The measure of one part of the right angle is 30 degrees. The measure of the other part is 3x.
10
20
30
40
Answers
Step-by-step explanation:
Right angle=90°
90-30= 3x
3x=60
x=20
Brody invested $2,800 in an account paying an interest rate of 2.7% compounded
continuously. Assuming no deposits or withdrawals are made, how long would it
take, to the nearest year, for the value of the account to reach $3,560?
Answers
answer-
t≈9
step-by-step: i skipped the question and got the right answer
The amount will become $3560 after the tenure of 9 years.
What is compound interest?Compound interest is the interest on savings computed on both the initial principal and the interest earned over time. In theory, continuously compounded interest means that an account balance is constantly earning interest and refeeding that interest back into the balance so that it, too, earns interest.
Given that Brody invested $2,800 in an account paying an interest rate of 2.7% compounded continuously.
The time period will be calculated as,
[tex]P(t) = P_oe^{rt}\\\\3560 = 2800e^{0.027\times t}[/tex]
Take log on both sides and solve,
ln(3560 / 2800) = 0.027x t(ln(e)
t = ln(1.27) / 0.027
t = 9 years
Therefore, the amount will become $3560 after the tenure of 9 years.
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Help me please I don’t understand these please helpp
Answers
90°=2x+x-3
90=3x-3
93=3x
31=x :]
-9(x+3) < 45
solve for x
Answers
I need to know what are the six trigonometric functions of angle theta
Answers
Answer:
Sine, cosine, tangent, cosecant, secant and cotangent.
Suppose a scientist puts a colony of bacteria weighing 1 gram in a large container. Assume that these bacteria reproduce in such a way that their number doubles every 20 minutes.
Answers
Answer:
okkkkkkkkkkkkkkkkkkkkkkkkkkk
HELP ME I NEED THE ANSWER TO THIS!!
Answers
Answer:
I think it is D
Step-by-step explanation:
Find the circumference and the area plzzz
Answers
Answer:
3.
A) 43.96 cm (Circumference)
B) 153.86 square cm (Area)
4.
A) 62.8 ft (Circumference)
B) 314 square ft (Area)
Step-by-step explanation:
3. Radius 7 cm
7*2=14 (Find the diameter)
14*3.14= 43.96 cm (Circumference)
7*7=49 (Find the square of radius)
49*3.14 = 153.86 square cm (Area)
4. Diameter: 20 ft
20*3.14 = 62.8 ft (Circumference)
20/2=10
10*10=100
100*3.14= 314 square ft (Area)
what is 233 x 234 ???
Answers
Answer:
the answer is 54522
Step-by-step explanation:
hope it helps
Answer:
it is 54522 hope it helps
Subtract 1 3/8 from the sum of 3 3/4 and 5 1/6
Answers
Answer:
[tex] \frac{ - 1448}{192} = \frac{ - 181}{3} = - 60.3[/tex]
hope it's helpful ❤❤❤❤
THANK YOU.
A submarine was situated 832 feet below sea level. If it descends 289 feet, what is its new position?
Answers
It's new position is 1121 feet below sea level.
(In this problem u are descending into a negative value so it made sense for me to add for some reason).
Hope this helps and have a good day.
Also, as proof I included my calculator showing the logic behind it. Sorry for bad Camera quality.
-R3TR0 Z3R0
Pls help meeee :))))))
Answers
Answer:
A. 1.80
Step-by-step explanation:
Answer:
A. 1.80
Explanation:
0.12 divided by 5.676
Answers
Answer:
47.3
Step-by-step explanation:
"What is the difference between a ratio and its related rate and unit rate?"
Answers
Answer:
Step-by-step explanation:
The ratio is the relationship of two numbers. ... A rate is a little bit different than the ratio, it is a special ratio. It is a comparison of measurements that have different units, like cents and grams. A unit rate is a rate with a denominator of 1.
The difference between ratio and unit rate is that both of them are measures of two units and are written in the form of a numerator and a denominator but the unit rate denominator must be one.
What is a ratio?It shows how many times one value is contained in another value.
The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
Ratio and unit rate
Ratio and unit rate both are written in the form of a numerator and a denominator.
The ratio is a measure of two units contained in a whole amount.
Example: 3 apples and 3 mangoes are contained in a bag
The ratio of apple and mango is 3:3 = 1:1
The unit rate is also a measure between two units but the denominator should always be one.
Example: A man can run 10 miles in 10 hours
In one hour 1 mile.
The unit ratio is 10miles per hour.
Thus,
The difference between ratio and unit rate is that both of them are measures of two units and are written in the form of a numerator and a denominator but the unit rate denominator must be one.
Learn more about ratios here:
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You earn 28$ for washing 7 cars. How much do you earn for washing 3 cars?
Answers
Answer:
$12
Step-by-step explanation:
;)
Answer:
12
Step-by-step explanation:
28 divided by 7 = 4
4 x 3 = 12
Need help on this please
Answers
Answer:
157.08m²
Step-by-step explanation:
Since the area of a circle is A=πr²
The radius is 10, so
A=π10²
A=314.16 (rounded to nearest hundredth)
Half of that is 157.08.
Montrey recently paid off his simple interest loan. If he borrowed $6,500 for 5 years at 7%, what was the total amount he had to pay back?
Answers
9514 1404 393
Answer:
$8,775
Step-by-step explanation:
The amount due is given by the formula ...
A = P(1 +rt)
where P is the principal amount, r is the annual rate, and t is the number of years.
A = $6,500(1 +0.07×5) = $6,500(1.35) = $8,775
Montrey had to pay back $8,775.
are squares parallelograms
Answers
9514 1404 393
Answer:
yes
Step-by-step explanation:
A parallelogram is a quadrilateral with opposite sides parallel. A square is such a quadrilateral, so a square is a parallelogram.
_____
A rhombus is a special case of parallelogram in which adjacent sides are the same length.
A square is a special case of rhombus in which the angles are 90°. Hence a square is a special case of parallelogram.
__
An alternate route to the same conclusion is ...
A rectangle is a special case of parallelogram in which vertex angles are 90°.
A square is a special case of rectangle in which adjacent sides are the same length. Hence a square is a special case of parallelogram.
which is longer 3 ft or 2 m
Answers
Answer:
2m is longer
Step-by-step explanation:
I need help on this badly please come with good explanation on how to slove problems like this.
Answers
Answer:
Step-by-step explanation:
This is a parabola. Because of that, the extreme exists at either the highest point on the graph or at the lowest point on the graph (which is also known as the vertex). This is a positive parabola, so the vertex is a minimum. The coordinates of the vertex are (4, -2.5). The 4 is the x value; therefore, the value of x where the polynomial has an extreme (or extrema) is at x = 4
What is the product of
4
7
and
1
6
? Use the grid to help you.
A grid divided vertically into sevenths and horizontally into sixths. Each side length is one foot.
Answers
Answer:
C and 2/21
Step-by-step explanation:
i did it
We can write the product of the given fractions as -
{4/7 x 1/6} = 2/21
What is fraction?A fraction is expressed in the form of {x/y}, where {y ≠ 0}.
Given is to find the product of the fractions -
4/7 and 1/6
We can write the product of the fractions {4/7} and {1/6} as -
{x] = 4/7 x 1/6
{x} = 2/7 x 1/3
{x} = 2/21
Therefore, we can write the product of the given fractions as -
{4/7 x 1/6} = 2/21.
To solve more questions on fractions, visit the link below-
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What is the slope of the line that passes through the points (-2, 2), and (-4,-2)?
A. -1/2
B. 2
C. -2
D. 1/2
Answers
Answer:
Option B
Step-by-step explanation:
Use the slope formula.
[tex]\frac{rise}{run}=\frac{-2-2}{-4+2}=\frac{-4}{-2}=\boxed{2}[/tex]
The answer sohuld be B.
Hope this helps.
CAN SOMEONE PLEASE HELP ME!!!!
Answers
Here is a list of numbers:
20 8. 6. 11.3. 1572072.73
State the median
Answers
Answer:
20
Step-by-step explanation:
your middle median is 20 in ascending order it is also 20 *im in year 8 my explenation is bad*