Answer:
???? what we solve ...
Step-by-step explanation:
.... ._.
What is the diameter of a hemisphere with a volume of 272\text{ m}^3,272 m
3 , to the nearest tenth of a meter?
Answer:
D = 10.1m
Step-by-step explanation:
We know that the volume of a sphere of radius R is:
V = (4/3)*pi*R^3
where pi = 3.14
A hemisphere is half a sphere, then the volume of an hemisphere is half of the volume of a sphere, then the volume of a hemisphere of radius R is:
V' = (1/2)*(4/3)*pi*R^3
Now, we know that our hemisphere has a volume:
V' = 272m^3
Then we can solve the equation:
272m^3 = (1/2)*(4/3)*pi*R^3
For R.
(we want the diameter, but remember that the diameter is equal to two times the radius, so finding the radius is a good start)
272m^3 = (1/2)*(4/3)*pi*R^3
272m^3 = (4/6)*3.14*R^3
272m^3*(6/4*3.14) = R^3
∛( 272m^3*(6/4*3.14) ) = R = 5.06 m
And the diameter is two times that, so we get:
D = 2*5.06m = 10.12 m
Rounding this to the nearest tenth of a meter (first digit after the decimal dot), we get:
D = 10.1m
A person incurs 5% loss by selling a laptop for $1140.At what price should the laptop be sold at to earn 5% profit
Answer:
$1256.85
Step-by-step explanation:
1140 (1.05) = $1197 cost
$1197* 1.05 = 5% profit
A bouncy ball is dropped such that the height of its first bounce is 6.25 feet and each
successive bounce is 74% of the previous bounce's height. What would be the height
of the 6th bounce of the ball? Round to the nearest tenth (if necessary).
Answer:
Step-by-step explanation:
[tex]6.25\times (0.74)^{5}=[/tex]
Answer:
The answer is 1.38687914 but if you round it to the nearest tenth then it is 1.4
Step-by-step explanation:
Please help! I'll give brainlist
A man borrows $500 and agrees to repay $750 at the end of 4 years. What is the rate of simple interest charged?
Answer:
The rate of simple interest is 0.125, or 12.5%.
Step-by-step explanation:
If the man must repay $750 after 4 years on a $500 loan, the simple interest would be ($750-$500), or $250.
The simple interest formula is i = p*r*t. Solving this for the interest rate, r, yields
i
r = ----------
p*t
and so, with i = $250, p = $500 and t = 4 yr, we find r as follows:
$250
r = ----------------- = 0.125
$500*4
The rate of simple interest is 0.125, or 12.5%.
(w- 4/9) (-2/3) = -4/5
Solve for w
exact form:
w= 74/45
decimal form:
w= 1.64
mixed number:
w= 1 29/45
brainliest would be appreciated :)
Answer:
w=74/45
Step-by-step explanation:
(w-4/9)(-2/3)=-4/5
-2/3w+8/27=-4/5
-2/3w=-4/5-8/27
-2/3w=-108/135-40/135
-2/3w=-148/135
w=(-148/135)/(-2/3)
w=-148/135*-3/2,
w=74/45
A fan brings a coupon for 30% off of all food and drink. If she buys a hot dog that normally costs $2.50, how much would she have to pay?
Answer: $1.75
Steps: 30%=0.3
0.3 x 2.50 = 0.75
2.50 - 0.75 = 1.75
A color television set can be bought in an electrical store for a cash price of $460 or by using the hire purchase plan. Calculate the amount of the deposit. *
Enter the numeric portion of your answer only.
The total monthly payments. *
The total cost of the set using the hire purchase plan. *
How much can be saved by paying cash? *
Write the savings as a fraction of the cash price in its lowest terms.
Answer:
The correct answer is -
1. $115
2. 15 (each of $25) that equal to $375
3. $490
4. $30
Step-by-step explanation:
As given in the picture related to the given question, there are two ways one can get a color television, one by the cash price of $460 or by the renting plan of 25% of the price as a deposit and the rest in a15 equal payments of $25.
Then the amount of deposit would be :
$460*25/100
= $115
It is given in the image attached that there must be 15 payments (each of $25) after the deposit.
The total amount one has to pay using hire purchase plan is :
= deposit + total money by monthly payments
= 115 + 375
= $ 490
By using cash price one can save -
= total cost using the rental plan - cash price
= 490 - 460
= $ 30
sam wants to fence his rectangular garden plot along its length on the front side. The perimeter of the plot is 24 meters, and its length is 3 times its width
Answer:
Length: 12 meters
Step-by-step explanation:
Step 1:
Let us start with the formula of the perimeter of a rectangle, [tex]P=2l+2w[/tex], where l represents the length of the rectangle, and w represents the width of the rectangle.
We can set width as variable x. We are also given that the length is three times the width, hence it can be represented as 3x.
Step 2:
We can now write our equation and solve for x :
[tex]24=2x+2*2x\\24=2x+4x\\24=6x\\x=\fbox{4}[/tex]
We set x as width, so the width is 4 meters. However, in this problem we are looking for the length. The length is three times the width, so it would be [tex]\fbox{12}[/tex] meters.
I hope this helps! Let me know if you have any questions :)
Answer:
From the given information, there are two equations in terms of x and y:
2x + 2y = 24 (perimeter of the rectangular plot)
x = 3y (relationship between length and width)
The second equation is expressed in terms of x, so directly substitute the value of x into the first equation and find y:
2(3y) + 2y = 24
y = 3
Substitute y in the second equation to find x:
x = 3(3)
x = 9
The fencing cost is $25 multiplied by the length of the side Sam wants to fence: 25 × 9 = 225. Therefore, Sam needs to spend $225 to fence that side of his plot.
Step-by-step explanation:
Please help solve the question in the image
Answer:
✅On average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.
✅On average, it rains more in Zachary in a year.
Step-by-step explanation:
Mean annual rainfall on average = total amount of rainfall for the period of years ÷ 10
✔️Mean Annual rainfall for Albany (in.):
= (22.82 + 19.83 + 28.40 + 23.35 + 30.78 + 21.34 + 11.20 + 17.04 + 18.63 + 16.28) ÷ 10
= 20.967
✔️Mean Annual rainfall for Zachary (in.):
= (26.41 + 23.54 + 30.02 + 26.35 + 34.24 + 25.74 + 18.98 + 21.26 + 23.61 + 21.38) ÷ 10
= 25.153
✅Therefore, on average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.
✅On average, it rains more in Zachary in a year.
what is the equation of the line that is perpendicular to the line y = − x / 2 + 4 / 5 and passes through the point ( − 2, 6 ).
pls answer quickly
Answer:
y = 2x + 10
Step-by-step explanation:
Equation of the line is;
y = −(x/2) + (4/5)
Slope here is m = -½ following the equation y = mx + c
Now, for a line perpendicular to it, the slope will now be; m = -1/(-½) = 2
To pass through the point ( − 2, 6 ), let's find C and it will be;
6 = 2(-2) + c
6 = -4 + c
c = 6 + 4
c = 10
Thus equation is;
y = 2x + 10
Write an equivalent expression by applying the distributive property or drawing a diagram. You MUST show all work
(x+3)(x−6)
Answer:
Step-by-step explanation:
(x+3)(x-6)
x(x-6)+3(x-6)
x^-6x+3(x-6)
x^-6x+3x-18
x^-3x-18
Solution:
x^-3x-18
if the product of 2 identical numbers is 441 find one of the numbers
full process please
Answer:
21
Step-by-step explanation:
let n be the identical number, then
n² = 441 ( take the square root of both sides )
n = [tex]\sqrt{441}[/tex] = 21
The the identical numbers are 21
Are is the Triangle SWT and triangle SVU similar? What would be the answer?
Answer:
A) Yes the 2 triangles are similar by SSS Similarity and SAS Similarity
Step-by-step explanation:
SSS:
ST/SU = SW/SV = WT/VU
60/70 = 48/56 = 30/35
6/7 = 6/7 = 6/7
SAS:
ST/SU = SW/SV = 6/7 (look at SSS proving)
Angle S = Angle S because they are reflexive or the same angles
Answer it pls :)
Which values of m and b will create a system of equations with no solution? Select two options.
y = mx + b
y = -2x + 3/2
Answer:
first one because the second one is solvable through graphing
Step-by-step explanation: y = mx +b could be anything
Is 0.669429565254154... a rational number
Answer: I think so since it’s a decimal
Step-by-step explanation:
Can someone help me please
Answer:
Here you go
Step-by-step explanation:
BTW what is meant by point in the last blank?
Answer:
equation y = 3x-1
slope = 3
about the point blank I'm not sure what it is asking for
Two numbers that add to 4 and multiply to -21.
I need help solving this , help !
Answer:
NO
Step-by-step explanation:
Triangle A suggests that the triangle is isosceles.
Isosceles:
Triangle with two congruent angles and sides:
7 , 6 , 7
5 , 4 , 5
9, 12 , 9
Triangle B suggests that the triangle is scalene.
Scalene:
Triangle with no congruent angles or sides:
5 , 6 , 7
10 , 15 , 7
12 , 18 , 21
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
32x + 26 = -11 can someone help pls Ik in summer school
Answer:
x = -37/32
Step-by-step explanation:
32x + 26 = -11
Subtract 26 from each side
32x + 26-26 = -11-26
32x = -37
Divide each side by 32
32x/32 = -37/32
x = -37/32
Answer:
x= -1 5/32 or x=-1.15625
Step-by-step explanation:
Which point is a reflection of M-5, -6) across the y-axis?
94 y
8
7
Р
Q
6
5
4
3
2
X
1
0
! -6 -5 -4 -3 -2 -
-1
0 1 2
3 4
5
6
-2
T
-3
-4-
-5
S
R
-6
-7
-8
-9
OA.
point P
The reflection of M(-5, -6) across the y-axis is point R (5,-6)
COST Question 6 of 10 Tim owns a clothing store where he designs pairs of shorts, s, and T-shirts, t. He sells the shorts for $12 and the T-shirts for $8 each. Tim can work 18 hours a day, at most. It takes him 30 minutes to design a T-shirt and 45 minutes to design a pair of shorts. He must design at least 12 items each day, but he cannot design more than 30 items in one day. Which set of inequalities below represents this scenario? O A. S 2 12-t, ss 30"- t, ss 24 - 0.66t, s2 0; t2 0 B. S2 12 - t, ss 30 - # S 2 24 -0.66t, s 2 0; t2 0 O C. S2 12 - t, sz 30 - t, ss 24 -0.66t, s 2 0; t2 0 D. S 2 12 + t, ss 30 + t, ss 24 -0.66t, s2;0; t2 0 SUBMIT
3 less than the sum of 4 and a number j?
Answer:
[tex](4+j)-3[/tex]
Step-by-step explanation:
Hope this helps
1. A horse is tied to a peg using 2.4 meter string. How large is the area within the horse can roam and eat grass?
2. A therapy pool in a water spa is in the shape of a 9meter wide circle. how much material would it take to cover it?
Answer:
1. 18.1
2. 63.6
Step-by-step explanation:
1. π[tex]r^{2}[/tex]
π[tex]2.4^{2}[/tex]
π5.76
=18.09557368
=18. 1 when rounded to the nearest tenth
2. d=2r
r=4.5
π[tex]r^{2}[/tex]
π[tex]4.5^{2}[/tex]
π20.25
=63.61725124
=63.6 when rounded to the nearest tenth
21 = 3 + 4n + 5n
please help
Answer: n = 2
Step-by-step explanation:
Answer:
n=2
Step-by-step explanation:
21 = 3 + 4n + 5n
21 = 3 + 9n
9n = 18
n = 2
;)
ANSWER QUICK
If the simple interest on $1,000 for 6 years is $420, then what is the interest rate?
Answer:
Step-by-step explanation:
I=PTR/100
$420=$1000*6*R/100
$420*100=$6000*R
$42000=$6000*R
$42000/$6000=R
7=R
therefore rate of interest is 7%
Question 5 of 10
x = 3x-1 and gix) = x+2 find (fog)
Solve for y:
76y = 19
Y =2/3
Y = 1/4
Answer:
y = 1/4
Step-by-step explanation:
76y = 19.
Get rid of the 76 by dividing 76 from both sides.
76y/76 = 19/76
19/76 simplified is 1/4.
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{76y = 19}[/tex]
[tex]\textbf{DIVIDE 76 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{76y}{76} = \dfrac{19}{76}}[/tex]
[tex]\textbf{SIMPLIFY it}[/tex]
[tex]\mathsf{y = \dfrac{19}{76}}[/tex]
[tex]\mathsf{y = \dfrac{19\div19}{76\div19}}[/tex]
[tex]\mathsf{y = \dfrac{1}{4}}[/tex]
[tex]\huge\text{Therefore, your answer should be: }[/tex]
[tex]\huge\boxed{\mathsf{y = \dfrac{1}{4}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]PLSS helpp it’s a test I will give brainliest
An experiment consists of rolling two fair number cubes. The diagram shows the sample space of all equally likely outcomes. What is the probability of roiling the two dice with a sum of 9? Express your answer as a fraction in simplest form.
Answer:
The answer should be 1/6 or 1/3
Step-by-step explanation:
1/9 is the probability of roiling the two dice with a sum of 9
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
An experiment consists of rolling two fair number cubes.
We need to find the probability of roiling the two dice with a sum of 9
The sample space of rolling two dice is given from the figure.
Among that (3,6), (6,3), (4, 5) and (5,6) makes a sum of nine.
In the total of 36 outputs there are only 4 outputs which has sum of 9.
So the probability of roiling the two dice with a sum of 9 is 4/36
Four divided by thirty six is equal to 1/9
Hence, 1/9 is the probability of roiling the two dice with a sum of 9
To learn more on probability click:
https://brainly.com/question/11234923
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Which of the following results from taking the square root of a negative
number?
A. Imaginary number
B. Negative number
C. Positive number
D. Irrational number
