Answer:
sqrt (2) * sqrt(45) + sqrt (2) * sqrt (80)
45 = 9 *5 "9" is a perfect square so
sqrt (45) = 3 * sqrt (5) * sqrt (2)
sqrt (2) * sqrt (80)
80 = 16 * 5 "16" is a perfect square so
sqrt (2) * sqrt (80) = sqrt (2) * 4 * sqrt(5)
Adding both answers we get
3 * sqrt (5) * sqrt (2) = 3 * sqrt(10)
PLUS
4 * sqrt (10)
which equals
7 * sqrt (10)
SO, the value of a is 7
Step-by-step explanation:
multiply -24, and add -10
-12 and 2
-12×2= -24
-12+2= -10
What is the value of x?
Kathy is making 3 batches of pancakes for a brunch party. If each batch needs 1712 cups of milk, how much milk does she need altogether?
Answer:
5,136
Step-by-step explanation:
because 1,712×3=5,136
Melanie is going to invest in an account paying an interest rate of 5.2% compounded
monthly. How much would Melanie need to invest, to the nearest hundred dollars,
for the value of the account to reach $19,600 in 19 years?
Answer:
7300
Step-by-step explanation:
I got it right
Melanie would need to invest an amount of $7300.
What is Compound Interest?Compound interest is defined as the amount of interest which has been calculated on the principal amount as well as the amount accumulated over the previous period is also included.
The final amount in a compound interest can be calculated using the formula,
A = P (1 + [tex]\frac{r}{n}[/tex] )^(n t)
Here A is the final amount, P is the principal value, r is the rate of interest, n is the number of times interest is compounded per year and t is the number of years.
Given,
A = $19,600
r = 5.2% = 5.2/100 = 0.052
Since it is compounded monthly, n = 12
t = 19 years
Substituting,
19,600 = P (1 + [tex]\frac{0.052}{12}[/tex])^ (12 × 19)
19,600 = P (1.0043)^(228)
19,600 = P (2.68)
P = 19,600 / 2.68
P = 7313.0767 ≈ 7300 to the nearest hundred
Hence the value of the account will reach $19,600 n 19 years if she invest an amount of $7300.
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The cost C (in dollars) of making n watches is represented by C = 15n + 85 .
How many watches are made when the cost is $385?
how many watches?
A rock was thrown from the top of a building. The distance, in feet, between the rock and the ground t seconds after it is thrown is represented by d=-16t squared -4t+382. How long after the rock is thrown is it 370 feet from the ground
Answer:
Step-by-step explanation:
Rachel used 18 centimeters of tape to wrap 6 presents. How much tape will Rachel need in all if she has to wrap 15 presents? Solve using unit rates.
centimeters
Answer:
Rachel would need 45cm of tape to wrap 15 presents.
Step-by-step explanation:
Firstly we need to find how much is required to wrap one presnt: 18÷6=3.3cm of tape is needed to wrap one present.
Secondly to find how many she needs to wrap 15 we sinply multiply 15 by three and get 45.
I hope this helps you in any way.
For each equation choose a value for x and then solve
to find the corresponding y value that makes that
equation true. Do not pickx = 0.
1) 6x= 7 and
two) 5 x + 3 and = 9
3) Y + 5 - 13x = 7
Answer:
Step-by-step explanation:
For each equation choose a value for x and then solve to find the corresponding y value that makes that equation true.
PLEASE HELP!!!
Paula can spend no more than $500 for a photographer to take specialty photos for the dinner. Aerial photos from a drone cost $25 each, and wide-angle photos cost $50 each. Part A Write an inequality that represents the number of each type of photo that Paula can buy. Let x equal the number of aerial photos and y equal the number of wide-angle photos.
Answer:
25x + 50y <= 500
Phil is riding his bike. He rides 25 miles in 2 hours, 37.5 miles in 3 hours, and 50
miles in 4 hours. Find the constant of proportipnality and write an equation to
describe the situation. Let x represent the number of hours.
The equation that describes the relationship is y =
The constant of proportionality (known as "speed" in this case) is 12.5 miles per hour.
The equation is
d
=
12.5
×
t
Explanation:
To find the constant of proportionality, divide one value in each pair by the other. If this relationship is a true direct proportionality , when you repeat these for every pair, your will come up with the same value:
For example
25
miles
÷
2
hours
=
12.5
miles
hour
A direct proportionality will always result in an equation that resembles this:
y
=
k
x
where
y
and
x
are the related quantities and
k
is the constant of proportionality. If you draw a graph using the values you have, the graph will show a straight line the passes through the origin. The slope of this line will be the constant of proportionality. (And if the values given are real physical quantities, this constant will contain important information about the situation you are studying!)
Steph makes scones in three flavours: cheese, fruit and plain.
She makes:
• 4 times as many fruit scones as cheese scones,
• 3 times as many plain scones as cheese scones.
She sells each scone for the same price.
She makes a total of £96 from the sale of all the scones.
How much does she make from the sale of the plain scones?
Answer:
The amount she makes from the sale of plain scones is £36
Step-by-step explanation:
The number of flavors of scones Steph makes =
The number of fruit scones she makes = 4 × The number of cheese scones she makes
The number of plain scones she makes = 3 × The number of cheese scones she makes
The price at which she sells the cheese scones = The price at which she sells the fruit scones
The price at which she sells the cheese scones = The price at which she sells the plain scones
The total amount she makes = £96
Let, 'x', represent the number of cheese scones she makes
Therefore, we have;
The number of fruit scones she makes = 4·x
The number of plain she makes = 3·x
∴ The total number of scones she makes = 4·x + 3·x + x = 8·x
The total number of scones she makes = 8·x
The total amount she makes from selling the 8·x scones she makes = £96
∴ 8·x = £96
x = £96/8 = £12
The amount she makes from the sale of 'x' number of scones = £12
The number of plain scones she makes = 3·x
From the sale of '3·x' number of plain scones, she makes = £12 × 3 = £36
DIRECTIONS: BELOW ARE NUMBERS EXPRESSED IN EXPONENTIAL NOTATION. GIVE THE VALUE OF EACH EXPONENTIAL NOTATION.
1. 4³ =
2. 6⁴ =
3. 25 =
4. 5² =
5. 3⁴ =
Answer:
1) 4 × 4× 4 = 64
2) 6⁴ = 1296
3) 25 = 25
4) 5² = 2
3) 3⁴= 81
Simplify the expression
Answer:
x12
Step-by-step explanation:
(x*x*x*x*x) *(x*x*x*x*x*x)
1. Does this equation represent growth or decay?
A (t) = 800(1.21)
Answer:Decay
Step-by-step explanation: because of perenthesis
Giving brainliest to whoever comments the right answer first
Answer:j
Step-by-step explanation:
what shape is similar to the original shape
Answer c
Step-by-step explanation:
they have to be equivalent
Calculate the volume of liquid that would fill the bowl of the glass. Show all your work.
Answer:
52.36
Step-by-step explanation:
Formula to find volume in a cone is
V = pi • radius^2 h/3
So we fill in the numbers
V = pi •
the radius is half of diameter,
The diameter is 5
So it's
V = pi • 2.5
since it's half of 5
V = pi • 2.5^2 h/3
the height is 8 so we fill it in
V = pi • 2.5^2 8/3
When calculated, you get..
52.36
The volume of the liquid which can fill the bowl of the glass (in shape of cone) with the liquid is 49.74 cm³.
What is of volume of solid?Volume of solid is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.
The volume of the cone can be given as,
[tex]V=\dfrac{1}{3}\pi r^2\sqrt{l^2-r^2}[/tex]
Here, (r) is the radius of the base of the cone and (l) is the slant height of the cone.
Here, the diameter of the cone is 5 cm. thus the radius of the cone is,
[tex]r=\dfrac{5}{2}\\r=2.5\rm cm[/tex]
The slant height of the cone is 8 cm. Thus, put the value to find the volume of cone as,
[tex]V=\dfrac{1}{3}\pi (2.5)^2\sqrt{(8)^2-(2.5)^2}\\V\cong 49.74\rm cm^3[/tex]
Thus the volume of the liquid which can fill the bowl of the glass (in shape of cone) with the liquid is 49.74 cm³.
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Helppp Bc I don’t know what to do
Answer:
Option (b) will be the correct answer.
Step-by-step explanation:
190×10⁸
1.9×10²×10⁸
1.9×10¹⁰
Answer:
B
Step-by-step explanation:
190 x 10^8 = 19000000000
1.9 x 10 ^10= 19000000000
evaluate the expression3+(a+4)(8-b) when a = 5 and b = 6
Answer:
21
Step-by-step explanation:
3+(a+4)(8-b)
3+(5+4)(8-6)
3+(9)(2)
3+18
21
HELPPPPP !!!!!!! Please answer correctly Will mark Brianliest !!!!!!!!!!
30% as a decimal round to the thousands place
Answer:
Your answer is 0.300 rounded to the thousands place.
Step-by-step explanation:
Hope this helps!
PLEASE HELP MEEEEEEEE
Answer: 4.19
v = 4/3 * 3.14 * 1^3
v = 4/3 * 3.14
v = 4.19
can you solve this? what is sin 60
Answer:
Yo the answers B
√3/2
Step-by-step explanation:
Sita bought a sofa set for Rs 30,000 and a dining set for Rs 20,000. He sold the sofa set at a loss of 5% but made a profit of 5% on the dining set. The net result of the transaction is?
Answer: See explanation
Step-by-step explanation:
Sita bought a sofa set for Rs 30,000 and sold the sofa set at a loss of 5%. The loss on the sofa will be:
= 5% × 30000
= 5/100 × 30000
= 0.05 × 30000
= 1500
Selling price of the sofa = 30000 - 1500 = 28500
Sita bought a dining set for Rs 20,000 and made a profit of 5% on the dining set. The selling price of the dining set will be:
= 20000 + (5% × 20000)
= 20000 + (0.05 × 20000)
= 20000 + 1000
= 21000
The cost price of the sofa and dining set will be:
= Rs 20000 + Rs 30000
= Rs 50000
The selling price of the dining set will be:
= Rs 28500 + Rs 21000
= Rs 49500
The net result of the transaction is will be:
Selling price - Cost price
= 49500 - 50000
= -500
There's a net loss of $500
Enlarge the triangle by scale factor -2, using point (8,8) as the centre of enlargement
(please hurry 15 points)
Answer:
I understand you probably don't need this anymore but here is the answer anyway.
Step-by-step explanation:
So what you want to do is draw a line from a corner to the centre of enlargement (I'll use the one at (9, 10) ). Then you see that it take 2 boxes to get to that, keep the line going through for double as much as it took to reach the centre of enlargement, this is because the scale factor is two. Do this for every corner, going through the centre of enlargement for the double the length it took to get to it (plot a cross at each bit you end up). Finally, remove the lines you used and connect the crosses. This method may be a bit confusing and someone who understands it more than me would probably explain what the minus means, if I explain it will probably make this more confusing. Hope this Helps!
Given ABC, what is the value of x?
HELP ME PLS THIS IS URGENT
Answer:
x=35
Step-by-step explanation:
We know that sum of angles in a triangle=180
120
o
+25
o
+x=180
145
o
+x=180
o
x=35
o
The length of one base of a trapezoid is 19 meters and the length of the median is 23 meters. Find the length of the other base,
Answer:
27
Step-by-step explanation:
19+x/2=23
19+x=46
x=27
or 19-23=4
23+4=27
The length of the other base of the trapezoid is 27 meters.
What is a Trapezoid?A trapezoid is a polygon with four sides, it has one pair of parallel sides.
The length of the base of a trapezoid is 19 meters.
The length of the median is 23 meters.
The median in a trapezoid is a line that is in the drawn in the mid way of the two non-adjacent sides.
The value of median is half of the bases added together.
Median = (1/2) ( Base₁ + Base₂)
Substituting the values in the formula to obtain the value of the other base.
Let x be the length of the other base,
23 = (1/2) * ( 19 + x)
23 *2 = 19+x
46 = 19 +x
x = 27 meters
The length of the other base is 27 meters.
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hmm i sure do ask a lot of questions
Answer:
A bc it show that it travels 25 miles to the hour.
In other words Miles per hour= 25 to 1 hour
Step-by-step explanation:
Hope this helps :)
i need help, if you do help please dont put picture thank you!
Answer:
181
Step-by-step explanation:
Area of a semicircle: 1/2 (pi • r^2)
1/2(3.14 • 100)
1/2 ( 314 )
157
Triangle:
(6 • 8) ÷ 2
48 ÷ 2
24
Add the area of the triangle & semicircle together: 157 + 24 = 181
Hope this helps! Have a great day!
Find the value of x.
Answer:
i forget im sorry
Answer:
find the value of x
20
40
Step-by-step explanation: