Answer:
a) 21 √m inches
b) 13√2/2 m
Step-by-step explanation:
a) we want to find the perimeter of an equilateral triangle
An equilateral triangle is one which sides has the same equal length
The perimeter of this triangle is the sum of the lengths of the three sides
Mathematically, we have this as:
7 √m + 7 √m + 7 √m
= 21 √m inches
b) we want to calculate the perimeter of the given rectangle
Mathematically, we can calculate the perimeter of a rectangle using the formula below;
P = 2(l + b)
where l represents the length of the rectangle and b represents the breadth of the rectangle
From the given shape;
l = √50 m, b = 1/2 √32
So, we have the perimeter follows;
2( √32/2 + √50)
= √32 + √50/2
√32 = 4√2
√50 = 5√2
Thus, we have;
4 √2 + 5 √2/2
= (8 √2 + 5 √2)/2 = 13√2/2
Find the area of the circle. Round your answer to the nearest tenth. Use 3.14. The radius is 9
Answer:
28.26
Step-by-step explanation:
i wasnt sure what it was the the nearest tenth im really really sorry but i hope that helps
1. Use a ratio box to solve this problem. Tammy saved nickels and
pennies in a jar. The ratio of nickels to pennies was 2 to 5. If there were
70 nickels in the jar, how many coins were there in all?
Answer:
245
Step-by-step explanation:
let 'c' = total coins
2/7 = 70/c
2c = 490
c = 245
joseph saves 30% of his allowace each week. if he saves 24$ in 5 weeks. how much allowance does joseph recieve in each week
Answer:
$24/5 weeks = $4.80 saved per week.
$4.80 is 30% of what number?.....
4.8=0.3*X....... 4.8/0.3=X ........X=16
So, Joseph receives $16 per week.
Step-by-step explanation:
Can someone pls help?
Answer: 2
Step-by-step explanation:
Because if u divide 12÷6=2 2×6=12
Answer: [tex]x=6\sqrt{3}[/tex]
Step-by-step explanation:
[tex]x=\sqrt{12^{2}-6^{2} } =\sqrt{144-36} =\sqrt{108} =6\sqrt{3}[/tex]
Subtract. Write your answer as a fraction in simplest form. 3/8−(−1/8)=
Answer:
1/2
Step-by-step explanation:
3/8 + 1/8=
4/8=
1/2
Of a total of 6,000.00, part was invested at a simple interest rate of 8% and part at 7% if the total interest income for one year was $46.00, how many was invested at 7%
Answer: Ok so first 0.05(6000 - x) + 0.07x = 372
300 - 0.05x + 0.07x = 372
300 + 0.02x = 372
0.02x = 72
x = 3600
He invested $3600 at 7% and $2400 at 5%.
Hope this helps have a bless day❤️Step-by-step explanation:
Answer:
Step-by-step explanation:
I think you had a typo where interest should be 460 not 46 because even if the whole 6000 were invested at 7% he would have earned $420 in interest. Also if total investment was switched from 6000 to 600 the 46 in interest would work.
.07x+.08(6000-x)=460
.07x-.08x+480=460
-.01x+480=460
-.01x=-20
x=$2000
which is easy enough to check
2000(.07)+4000(.08)=$460
A pack of gum is in the shape of a rectangular prism with a length of 5 centimeters and width of 2 centimeters. The volume of the gum is 60 cubic centimeters. What is the height of the pack of gum? The height of the pack of gum is cm.
Determine if each statement is true or false. Explain your answer. A square is a specific type of parallelogram.
Answer:
false.
Step-by-step explanation:
a square is a quadrilateral with all right angles and all equal sides.
What do I do I don’t know the answer
Answer:
B) 114.511m^3
Step-by-step explanation:
Formula of a cylinder is πr^2 x h
r = radius (half of diameter)
h = height
Since it is 3/4 full you only do 3/4 of the height so- 0.75 x 9.60 which equals 7.2
Half of the diameter is 2.25. 2.25^2 = 5.0625.
The volume of the cylinder = 5.0625π x 7.2
By solving this, you will get approximately 114.511 m^3 as your answer.
2.
The rate of change is constant in the graph. Find the rate of change. Explain what the rate of change means for the situation.
A. –3; value drops $3 every year.
B. –1; value drops $1 every year.
C. [tex]-\frac{100}{3}[/tex]; value drops $100 every 3 years.
D. –100; value drops $100 every year.
Answer:
you take 2 points on the graph
(3,300) and (6,200)
and then you do y2 -y1
x2-x1
you plug in the values
200-300
6-3 = -(100)/(3)
every 3 years the resale of a refrigerator decreases by 100 dollars.
its basically the rate that the price goes down for resale value of a refrigerator
Step-by-step explanation:
Let's take the points displayed on this graph:
(300, 3) (200, 6) and (100, 9).
Our first value in the points represents the amount of money for the resale value of a refrigerator, and the second value represents the number of years after the original purchase. So, as we can see, as the years increase, the value goes down $100 dollars every three years.
3 years after original purchase: $300
Increase years by three, value goes down by $100
6 years after original purchase: $200
The rate of change in this situation means that for every resale three years after the original purchase, the value will decrease by $100.
what is the mean median mode range of 3,14,7,12,4,9,16,4,8,20
First, order the number set from least to greatest:
3 , 4 , 4 , 7 , 8 , 9 , 12 , 14 , 16 , 20
Mean: You find the mean by combining all the terms, and dividing by the amount of the terms there are in the number set:
(3 + 4 + 4 + 7 + 8 + 9 + 12 + 14 + 16 + 20)/10
(97)/10 = 9.7
Mean: 9.7
Median: You find the median by first ordering the number set from least to greatest, and finding the middle number. Note that if there is a even number of numbers in the set, you find the mean with the two given median digits:
8 & 9 are the median numbers:
(8 + 9)/2 = (17)/2 = 8.5
Median: 8.5
Mode: The mode is the number(s) in the set that shows up the most:
Mode: 4 (shows up one more time than all other numbers)
Range: The range can be found by subtracting the least number from the greatest number in the number set:
Range: 20 - 3 = 17
Range: 17
~
El costo total en pesos para producir calcomanías,es el monto del alquiler del local más 1.5 veces el número de calcomanías producidas por día
Answer:
.......................................................
Solve |3x + 9| + 6 = 6
A) x = 3
B) No solutions
C) x = –3
D) x = 3 or x = –3
Answer:
D
Step-by-step explanation:
3x+9+6=6
step 1 combine like terms
9+6=15
now we have
3x+15=6
step 2 subtract each side by 15
15-15 cancels out
6-15=-9
now we have
3x=-9
step 3 divide each side by 3
3/3 cancels out
-9/3=-3
x=-3
The reason it can also be -3 is because I I means absolute value and the absolute value of negative 3 is positive 3
Have a great day :D
Find the midpoint between the two points: (-7, 9) and (5, -1).
(4,5)
(3, 4)
(-1,4)
(5,5)
6 millones restado 300¿
Step-by-step explanation:
6,000,000-300=5,999,700
Answer:
5,999,700 millones
Step-by-step explanation:
Resta 6 ,millones a 300
Suzy makes 20 dollars an hour at her job. Bill only makes 10 dollars an hour but he has a starting bonus of 20. When will Suzy and Bill make the same amount of money for the same number of hours worked? How much will they both earn at the same time?
Answer:
2 hours
Suzy would earn $40
Bill will earn $40
they will both earn $80
Step-by-step explanation:
The total amount suzy earns is a function of the total hours worked. Let t represent time
total income of suzy = $20t eqn 1
Bill's income = starting bonus + variable pay
= $20 + $10t
We are looking for when they would earn the same amount :
20t = $20 + $10t eqn 2
collect like terms and solve for t
10t = $20
t = 2 hours
Substitute for t in either eqn 1 or 2
20(2) = $40
Suzy would earn $40
Bill will earn $40
they will both earn $80
what is -8g=240 using one step equation
Answer:
30
Step-by-step explanation:
Convert the angle 0=17pie/18 radians to degrees.
Express your answer exactly.
Guided Practice
Find the slope and y-intercept of the equation.y=[tex]\frac{2}{3}[/tex]x+1
A.
1 ; [tex]\frac{2}{3}[/tex]
B.
23; 1
C.
23; −1
Answer: B. 2/3; 1
Use the slope-intercept form y = m x + b to find the slope m and y-intercept b .
Slope:
(2) /(3)
y-intercept:
( 0 , 1 )
Step-by-step explanation:
Find the slope and y-intercept of the equation. y = (2)/(3)x + 1
Find the Slope and y-intercept
True or False: (2,3) is a solution for both of the following equations:
y=2x+1 and y-3x=4
Find the missing values in the ratio table. Then write the equivalent ratios. (pls help me fill out the rest!)
Step-by-step explanation:
[tex] \frac{6}{2} = \frac{3}{1 } = \frac{12}{4} = \frac{15}{5} \\ [/tex]
which figure could be the result of dilation the trapezoid with a scale factor between 0 and 1
Answer:
1
Step-by-step explanation:
10 x 10 +100 – 1000 = X
Answer:-800
Step-by-step explanation: 10 times 10 is 100 plus another 100 is 200-1000 is -800 which is x
Answer:
-800
Step-by-step explanation:
since you need to mutiply first,
10 x 10 + 100 - 1000 = X
100 + 100 - 1000 = X
200 - 1000 = X
-800 = X
hope it helps!!!
On Monday, snow fell at a rate of 2.8 inches per hour.
Write an equation to show the relationship between the number of hours, h, and Monday's total snowfall, s.
Answer:
s = 2.8h
Step-by-step explanation:
Answer:
s = 2.8h
Step-by-step explanation:
2.8 inches of snow : 1 hour
Total snowfall = 2.8 × number of hours
2.8 × h = s
2.8h = s
8= -9 + u
solve for u
Answer:
The answer is 17
Step-by-step explanation:
First, add 9 to 8
17 = u
Answer:
u=17
Step-by-step explanation:
8=-9+u
-u=-9-8
-u=-17
u=-17
a car with an initial value of $23,00 is decreasing in value at a rate of 8% each year. Write a function, f(x), that expresses the value of the car in x years
Step-by-step explanation:
We would apply the formula for exponential decay which is expressed as
A = P(1 - r/n)^ nt
Where
A represents the value after t years.
n represents the period for which the decrease in value is calculated
t represents the number of years.
P represents the value population.
r represents rate of decrease.
From the information given,
P = 23000
r = 8% = 8/100 = 0.08
n = 1
Therefore, the exponential decay function described in this situation is
A = 23000(1 - 0.08/n)1)^ 1 × t
A = 23000(0.92)^t
If A = 15000, then
15000 = 23000(0.92)^t
0.92^t = 15000/23000 = 0.6522
Taking log of both sides to base 10
Log 0.92^t = log 0.6522
tlog 0.92 = log 0.6522
- 0.036t = - 0.1856
t = - 0.1856/- 0.036
t = 5 years to the nearest year
Geometry boy yo please help
Answer:
x=12
Step-by-step explanation:
ab=dc so 15=x+3 you subtract 3 from both sides... x=12
Caitlin drew a circle and labeled the circle S. The diameter of Caitlin’s circle is 12 m. Which of the following best represents the area of Caitlin’s circle?
A. 452 m^2
B. 38 m^2
C. 113 m^2
D. 75 m^2
Answer:
C
Step-by-step explanation:
Radius: 12 / 2 = 6 m
Area: 6^2 x pi = 113 m^2
Answer:
c
Step-by-step explanation:
area = π · r²
to change the diameter to radius you just divide by 2
12/2=6 so the radius is 6
then we just plug 6 into r for the circle are formula
6²=36
36x3.14=113.04 so her best answer choice is c
please help if you can!
Given:
The figure of a triangle DEF.
To find:
The coordinate of image of given triangle after reflection over y-axis.
Solution:
The vertices of given triangle are D(1,4), E(4,3), F(2,0).
If a figure is reflected over the y-axis, then the rule of reflection is
[tex](x,y)\to (-x,y)[/tex]
Using this rule, we get
[tex]D(1,4)\to D'(-1,4)[/tex]
[tex]E(4,3)\to E'(-4,3)[/tex]
[tex]F(2,0)\to F'(-2,0)[/tex]
Therefore, the coordinates of image are D'(-1,4), E'(-4,3) and F'(-2,0).
I need this fast!! Sam scores 4 goals per game. What is the rate unit of this rate?
A. games
B. goals per game
C. 4
D. goals
Answer:
B: goals per game
Step-by-step explanation:
She will atleast score 4 goals per game