Answer:
Approximately 78 yards
Step-by-step explanation:
From the question, I was able to deduce that the swimming pool is a cuboid because the length and width step different in yards. After sketching a cuboid, length= 60 yards, width= 50 yards, then draw a diagonal across the upper rectangle of the cuboid, to get the diagonal, use Pythagoras theorem, Hypotenuse²= opposite²+adjacent²;. x²=60²+50²=3600+2500=6100 ;.
x²=6100 therefore X=√6100 =78.1024 yards, but approximately 78yards, since the question instructed that answer should be approximated.
Solve for x:16^(4x-3)=8^(2x+4)
Answer:
x = 2.4
Step-by-step explanation:
16^(4x - 3) = 8 ^ (2x + 4)
16 = 2^4
8 = 2^3
2 ^ 4*(4x - 3) = 2^3(2x + 4)
Since the bases are the same, you can equate the powers
4(4x - 3) + 3*(2x + 4) Remove the brackets.
16x - 12 = 6x + 12 Subtract 6x from both sides
16x - 6x - 12 = 12 Combine the terms on the left
10x - 12 = 12 Add 12 to both sides
10x = 24 Divide by 10
x = 2.4
could you answer this question cause i need it for math
Step-by-step explanation:
5p/7-18=-43
5p/7=-43+18
5p/7=-25
5p=-25×7
5p=-175
p=-175/5
p=-35
not sure lol
Answer:
5p/7 = -43+18
5p/7 = -25
5p= -25*7
p = -35
Step-by-step explanation:
Select all of the terms that apply to the shape.
pentagon
hexagon
heptagon
octagon
nonagon
decagon
regular polygon
irregular polygon
concave
convex
Answer:
1,2,4,6,7
Step-by-step explanation:
The given shape is a pentagon, an irregular polygon, and also convex.
What is a polygon?A Polygon is considered to be Concave if its diagonal can lie outside the Polygon as well.
A polygon is considered to be Convex if all of its diagonals lie within it.
A polygon is considered to be regular if it is convex and has equal sides and angles.
If all of the angles and sides of a polygon are not equal, it is said to be irregular.
Here,
The given shape has five sides, which means this is a pentagon.
The given shape has unequal sides, which means this is an irregular pentagon.
The given shape has it's all its diagonals lying inside, which means this is a convex pentagon.
Thus, the given shape is a pentagon, an irregular polygon, and also convex.
Learn more about the polygons here:
https://brainly.com/question/24464711
#SPJ7
Three items were bought at a car boot sale.
Item A
Mass = 42 grams
Volume = 2 cm
Item B
Mass = 87.5 grams
Volume 5 cm3
Item C
Mass = 147 grams
Volume = 7 cm3
=
The density of platinum is approximately 21 grams per cmº.
Which of the items cannot be platinum?
You must show your working.
Answer: Multiply the density with the volume. You get 2418.2 grams or 2.4182 kilograms
Step-by-step explanation:
Answer:
Item B
Step-by-step explanation:
A:
density = mas/volume = 42 g / 2 cm^3 = 21 g/cm^3
This may be platinum.
B.
density = mass/volume = 87.5 g / 5 cm^3 = 17.5 g/cm^3
This cannot be pure platinum.
C.
density = mass/volume = 147 g / 7 cm^3 = 21 g/cm^3
This may be platinum.
Answer: Item B
Please Help, the correct answer will get brainliest.
Answer:
Yes I will help
Step-by-step explanation:
x2 - 8x + 14 = 2x - 7
Answer:
x=7,3
Step-by-step explanation:
x^2-8x+14=2x-7
Add 8x to both sides.
x^2+14=10x-7
Add 7 to both sides.
x^2+21=10x
x^2+7*3=10x
(x*7)+(x*3)=10x
x=7,3
Hope this helps plz hit the crown :D
Della went to the market to buy 4.5 pounds of sliced fruit in a container. She paid with a $20 bill and a $5 and received $4.67 as change. She paid $1.62 in taxes and for the fruit. What was the cost for one pound of sliced fruit before taxes
Answer:
the cost for one pound before taxes is $4.52
Step-by-step explanation:
The computation of the cost for one pound before taxes is shown below:
= Paid a bill + amount - change amount
= $20 + 5 - $4.67
= $20.33
Now the cost of one pound would be
= Total amount ÷ number of pounds purchased
= $20.33 ÷ 4.5 pounds
= $4.52
Hence, the cost for one pound before taxes is $4.52
You and your business partner are mailing advertising flyers to your customers. You address 6 flyers
each minute and have already done 80. Your partner addresses 4 flyers each minute and has already done 100.
Write and solve a system of equations to find when the two of you will have addressed an equal number of flyers.
How many flyers will each of you have done?
124
136
140
148
Answer:
140
Step-by-step explanation:
01.02 LC)Simplify 7 + (−3)
Answer:
4
Step-by-step explanation:
7+(-3)= 4
the subtraction sign takes over the addition sign
a fun way to remember is when you subtract a negative just take the two subtraction signs and they create and addition sign. when you are adding a negative, think as is you are taking one of the lines away becauze +(-) = negative. and addition plus addition is equal to addition
Answer: 7 + (-3) equals to 4
Step-by-step explanation:You have to start with the number in the parenthesis and the pls sign. A negative multiplied by a positive would give you a negative, so positive 1 multiplied by -3 equals to -3. Now the equation is 7 - 3, and the answer equals to 4.
Find the HCF of following polynomial expression.
x^3-x, x^2-x-2
Answer:
HCF of following polynomial expression is x
Please help me with this homework from 1 to 8 and tell me how you get it
Answer:
[tex]x = - 1 \\ y = - 5 \\ m = - 6 \\ z = 3 \\ q = 0 \\ n = - 2 \\ w = - 1 \\ k = - 2[/tex]
Step-by-step explanation:
I just showed my work process in the pictures.
Abag of peanuts is 5 times as heavy as a bag of sunflower seeds. The bag of peanuts
also weights 920 grams more than the bag of sunflower seeds. What is the total weight
in grams for the bag of peanuts and the bag of sunflower seeds?
Answer:
5s=p
s+920=p
5s=s+920
*subtract s from both sides*
4s=920
*divide 4 from both sides*
s=230
230*5=1150
The bag of sunflower seeds weighs 230 grams and the bag of peanuts weighs 1150 grams.
9514 1404 393
Answer:
1380 grams
Step-by-step explanation:
The ratio of weights is ...
peanuts : sunflower seeds = 5 : 1
Then the difference in weights is ...
5 - 1 = 4 . . . . ratio units
The sum of weights is ...
5 + 1 = 6 . . . . ratio units
That is the sum of the weights related to the difference of weights is ...
sum : difference = 6 : 4 = 3 : 2
So, the total weight of the two bags is 3/2 times the difference in their weights:
total weight = (3/2)(920 grams) = 1380 grams
a student studying public policy created a model for the population of Detroit which decreased 2.09% over a year in 2010 there was 730000 residents assuming this trend continues each year, write a function for p, the population t years after 2010
Answer:
KF
Step-by-step explanation:
Sharon's brother works at a shoe store and earns a commission. He earns 2.5% of the amount he sells. Last week he sold $900 worth of shoes, how much did he earn in commission?
Answer:
her brother either earns 12.6$ or 22.6$
Step-by-step explanation:
If any of those answer where correct thanks add me as a brainlist
What percentage of all students prefer hot dogs?
2.5%
27.5%
30%
45.5%
55%
What’s your favorite Christmas song? Or favorite Christmas tradition?
Answer:
my favorite christmas song is white christmas
Step-by-step explanation:
select the correct answer
A pair of angles is supplementary if the sum of their measures is 180 degrees. A pair of angels is complementary if the sum of their measures 90 degrees. the supplement of a given angel is 10 degrees more than twice its complement. Let 90-x equal the degree measure of its complement and 180-x equal the degree measure of its supplement. Write and solve an equation to find the measure of the given angel.
Answer:
The measure of the complement =
= 80°
The measure of the supplement=
= 170°
Step-by-step explanation:
Let
90-x equal the degree measure of its complement
180-x equal the degree measure of its supplement.
We are told in the question that: the supplement of a given angle is 10 degrees more than twice its complement.
Hence, the Equation is;
(180 - x) = 10° + 2(90 - x)
180 - x = 10 + 180 - 2x
Collect like terms
-x + 2x = 10 + 180 - 180
x = 10°
Hence,
The measure of the complement =
90 - x
= 90 - 10
= 80°
The measure of the supplement=
180 - x
= 180 - 10
= 170°
Cathy would like to have accumulated $25,000 on her IRA account in 5 years. The return is 3.1%. How much should Cathy deposit in her account annually?
$1,329.94
$2,711.73
$4,699.46
$5,000.00
Answer:
Annual deposit= $4,699.46
Step-by-step explanation:
Giving the following information:
Future value (FV)= $25,000
Number of periods (n)= 5 years
Interest rate (i)= 3.1% = 0.031
To calculate the annual deposit, we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= annual deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
A= (25,000*0.031) / [(1.031^5) - 1]
A= $4,699.46
The population of bears in a national forest is changing according to the function N(t)=850(1.04)t , where t is the time in years, and N(t) is the number of bears. Which statement explains how the bear population is changing?
Answer:
The statement is that the population increases at a rate of 4% per year
Step-by-step explanation:
The function is given as;
N(t) = 850(1.04)^t
The general equation form for a representation as this is;
P = I(1 + r)^t
Where I is the initial value and P is the present value
r is the rate of increase
t is the time
Thus, we have that;
1 + r = 1.04
r = 1.04-1
r = 0.04
0.04 is same as 4/100 which is same as 4%
So the statement about how the population of bear is changing is that the population increases at a rate of 4% each year
Three people need to peel 1000 potatoes working together. Stacey starts at 2 PM peeling 20 potatoes per hour. Rob starts at 3 PM peeling 30 potatoes per hour, and James starts at 4 PM peeling 40 potatoes per hour. If they work continuously, at what time will the 1000 potatoes be peeled ?
Answer:
They would be done by 2 : 18 AM
Step-by-step explanation:
Key Information:
- Stacey starts at 2 PM peeling 20 potatoes per hour
- Rob starts at 3 PM peeling 30 potatoes per hour
- James starts at 4 PM peeling 40 potatoes per hour
At 5pm;
Stacy would have worked for 3 hours and would have peeled ( 3 * 20 = 60 potatoes)
Rob would have worked for 2 hours and would have peeled ( 2 * 30 = 60 potatoes)
James would have worked for an hour and would have peeled ( 1 * 40 = 40 potatoes)
Total number of potatoes peeled at 5pm = 60 + 60 + 40 = 160 potatoes
Potatoes left = 1000 - 160 = 840 potatoes.
The new peeling rate for three of them combined is (20 + 30+ 40 ) = 90 potatoes per hour.
Rate = potatoes left / time;
Time = Potatoes / Rate
Time = 840 / 90 = 9.3 hours = 9 hours 18 minutes
Total time taken = 9 hours 18 minutes + 3 hours = 12 hours 18 minutes
They would be done by 2 : 18 AM
Answer:
2:20 am
Step-by-step explanation:
Stacey's start time = 2 pm
Rate = 20 per hour
Rob start time = 3pm
Rate = 30 per hour
James start time = 4pm
Rate = 40 per hour
Number of potatoes = 1000
By 4 pm when James started :
(2 * 20) + (1 * 30) = 40 + 30 = 70
Potatoes left at 4pm = 1000 - 70 = 930 potatoes
Number of potatoes peeled per hour staring from 4 pm:
20 + 30 + 40 = 90 potatoes
Time taken to peel 930 potatoes will be :
930 / 90 = 10.333333 hours
(0.33333 * 60) = 19.9998 minutes
10.3333 hours = 10 hours 19.99998 minutes = 10 hours 20 minutes
Hence, from 4pm = 4pm + 10 hours 20 minutes = 2 : 20 a. M
can someone tell ne the equation of this word problem.
will give brainliest
Answer:
Dude. The word problem is non-existent.
Answer:
????
Step-by-step explanation:
there ain't nothing 2 solve
What are the coordinates of the image D0.5(3,5)?
Answer:
There isn't an image attached .
Step-by-step explanation:
Answer:
The answer is 5.-3
Step-by-step explanation:
A3ft board weighs 2 pounds. How much
does a 12 ft board weigh?
Answer:
8 pounds
Step-by-step explanation:
3 ft board = 2lb
12 ft board is 4 times more so
2x4 = 8 lb
20 kilograms to pounds
Answer:
44.0925 pounds
Step-by-step explanation:
Which number goes in the box to make a true equation?
]X 10 = 42.000
Answer:
x=4200
Step-by-step explanation:
10x=42000
x=4200
Find the exact length of the third side. 20 21
Answer:
I am assuming these are the legs of a right triangle, in which the answer is 29
Step-by-step explanation:
Could you guys help me ? I'll give brainliest
When you raise a number to a negative exponent, change the exponent to a positive and make the complete number a fraction with 1 as the numerator.
5 ^-2 = 1/5^2
The answer is C.
Is there anyone that can help me with questions 1-16?
Step-by-step explanation:
5x=41.5
5x/5=41.5/5
x=41.5/5
x=8.3cm
1. g - 7 = 15
g = 15 + 7
g = 22
2. t + 4 = 6
t = 6 - 4
t = 2
3. 13 = m - 7
m - 7 = 13
m = 13 + 7
m = 20
4. x + 3.4 = 9.1
x = 9.1 - 3.4
x = 5.7
[tex]5. \: \: n \: - \: \frac{3}{8} \: = \: \frac{1}{8} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: n \: = \: \frac{1}{8} \: + \: \frac{3}{8} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: n \: = \frac{4}{8} = \frac{2}{4} = \frac{1}{2} [/tex]
Yay someone help me I’ll mark brainlest if ya as ser first!
Answer:
Least to greatest is 81/10, 8 1/9, 8.115 and 9.95
Step-by-step explanation:
