Answer:
160 ft, 250ft
Step-by-step explanation:
Rectangular base:
Width = w
length =2w - 70
Perimeter = 820 ft
2*(length + width) = 820
2*(2w - 70 + w ) = 820
2 *(2w + w - 70) = 820 {Combine like terms}
2* (3w - 70) = 820
3w*2 - 70*2 = 820
6w - 140 = 820
6w = 820 + 140 {Add 140 to both side}
6w = 960 {Divide both sides by 6}
w = 960/6
w = 160 ft
length = 2*160 - 70
= 320 - 70
= 250 ft
Solve the system
y= 17x – 6
y= 12x + 44
Answer:
×=10 y= 164
Step-by-step explanation:
we take the first equation and replace it on the second equation where there is y
g An airplane is flying overhead at a constant elevation of 4000 ft. A man is viewing the plane from a position 3000 ft from the base of a radio tower. The airplane is flying horizontally away from the man. If the plane is flying at a rate of 600 ft/s, at what rate is the distance between the man and the plane increasing when the plane passes over the radio tower
Answer:
A man is viewing the plane from a position. 3000 ft from the base of a radio tower. The airplane is flying horizontally away from the man. If the plane is flying at the rate of 600 ft/sec, at what rate is the distance between ...
Find the zeros of the function.
Enter the solutions from least to greatest.
g(x) = 7x^2 – 567
lesser x =
greater x =
Answer:
Lesser x = -9
Greater x = 9
Step-by-step explanation:
Solve the exponential equation: 6–2x = 62 – 3x
Answer:
the answer should be 56 :)
Step-by-step explanation:
Answer:
x=56
Step-by-step explanation:
Try to end up with only a single variable on one side.
Step 1: Add 3x to each side of the equation to keep them both equal. Example: 6-2x+3x=62-3x+3x
or
6+x=62
Step 2: Subtract 6 from both sides. Example:
6+x-6=62-6
or
x=56
Step 3: You found the answer. Hope this helps and is correct.
Chloe wants to buy soda for a party. He buy a case of 24 cans or he can buy 4 six-packs of cans. The case costs $8.44 and each six-pack costs $2.85. Which is the better buy?
Answer:
the can that costs 8.44 is a better buy
Step-by-step explanation:
Answer:
the 24 can pack
Step-by-step explanation:
2.85 x 4 = 11.4
$11.4 is more expensive than $8.44
A tree is being cut down to form four equal stumps. The trunk of the tree measures 8 2/3 feet in length. What will
be the length of each stump?
Find Y.
Round to the nearest tenth.
Answer:
Y ≈ 59.0°
Step-by-step explanation:
Using the Cosine rule
cosY = [tex]\frac{x^2+z^2-y^2}{2xz}[/tex]
with x = 22, y = 20, z = 18
cosY = [tex]\frac{22^2+18^2-20^2}{2(22)(18)}[/tex]
= [tex]\frac{484+324-400}{792}[/tex]
= [tex]\frac{408}{792}[/tex] , then
Y = [tex]cos^{-1}[/tex] ( [tex]\frac{408}{792}[/tex] ) ≈ 59.0° ( to the nearest tenth )
In ΔIJK, the measure of ∠K=90°, KJ = 63, IK = 16, and JI = 65. What ratio represents the sine of ∠I?
prove why 2,5,8,11 and 14 are not perfect squares?
Answer:
because there is an exact square number such as:4,9
Answer:
✓2=1.41421
✓5=2.23607
✓8=2.82842
✓11=3.31662
✓14=3.74166
Step-by-step explanation:
Therefore the numbers are increasing by three so they cant be perfect square
if -2x + 3 = 7 and 3x + 1 = 5 + y, the value of y is
Answer:
value of y is -10
Step-by-step explanation:
-2x+3=7 equation 1
3x+1=5+y equation 2
by eq 1
-2x=7-3
-2x=4
x=-2
put value of x in equation 2 to get value of y
3(-2)+1=5+y
-6+1=5+y
-5=5+y
-5-5=y
y=-10
Easy question look at photo
Answer:
I would go with yes, since we know BC=UV
Step-by-step explanation:
Leo deposited $3,316.25 in an account that earned 2.5% interest compounded weekly for 13 years. After 13 years, how much had Leo earned in interest?
Express your answer rounded correctly to the nearest cent. Do not include units on your answer.
please help
Answer:
interest=P(1+r/100)^n-P
interest=3316.25(1+2.5/5200)^676-3316.25
=1273.18 (nearest cent)
3 divided by 4 in fraction form
144 in the ratio 3:4
Answer: 132
Step-by-step explanation:
The best fit line is given by the equation y=0.5x+0.4
, where y represents the distance in miles, and x represents the time for the trip in minutes.
Use the best fit line to estimate the distance for a trip that takes 20 minutes.
Enter your response in the box. Give the answer to the tenths place.
miles
Answer:
The anwser is 10.4
Step-by-step explanation:
0.5(20)+0.4
Help Asap
Find the value of x. Round to the
nearest tenth.
35
16
X
X
= [?]
Answer:
please try sending a photo so it would make more sense
write down four common multiple of 9 and 6
Answer:
18, 36, 90, 180 are common multiples of 9 and 6Step-by-step explanation:
1 Answer
multiples 6:{6,12,18,24,30,36,42,48,54,60,66,..}
multiples 9:{9,18,27,36,45,54,...}
common multiples {18,36,54,... }
The empty gas tank of a truck needs to be completely filled. The tank is shaped like a cylinder that is 5 ft long with a diameter of 2.4 ft. Suppose gas is poured into the tank at a rate of 2.3ft^3 per minute. How many minutes does it take to fill the empty tank? Use the value 3.14 for pie and round your answer to the nearest minute. Do not round any intermediate computations.
Answer:
Step-by-step explanation:
h = 5 ft
diameter = 2.4 ft
Radius is half of diameter
r = 2.4/2 = 1.2 ft
Now, find the volume of the tank
Volume = πr²h
= 3.14 * 1.2 *1.2 * 5
= 22.608 cubic ft
Time taken to fill the tank = Volume of tank ÷ volume of gas filled per minute
= 22.608 ÷ 2.3
= 9.8
= 10 minutes
What's the perimeter?
Answer:
B. 24
Step-by-step explanation:
You add a+b+c.
A would be 5in
B would be 5in again because you can see they are the same
C would be 6in
Then you would add them all together.
5+5=10
10+6=16
Then you would multiply this by 1 1/2
This will equal out to 24
HOPE THIS HELPS
x2 + 16x – 2 = 11
1) Rewrite the equation by completing the square.
Your equation should look like (x + c)2 = d or (x - c)2 = d.
I
+
utan
pls help
Answer:
(x+8)^2=77 and x=negative 8±√77
Step-by-step explanation:
After watching a video, I got it right on Khan
The equation with completing the squares is (x + 8)² = 77.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
x² + 16x - 2 = 11
We can make complete squares.
x² + 16x - 2 - 11 = 0
x² + 16x - 13 = 0
x² + 2 x 8 x (x) -8² + 8² - 13 = 0
(x² + 16x + 8²) - 64 - 13 = 0
(x + 8)² - 77 = 0
(x + 8)² = 77
Thus,
The equation is (x + 8)² = 77.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
A football is kicked into the air. The height of the football can be modeled by the equation
h = -16x^2 + 16x, where h is the height reached by the ball after x seconds. When does the
ball touch the ground?
Answer:
x = 0 and x = 1
Step-by-step explanation:
Given that,
A football is kicked into the air. The height of the football can be modeled by the equation :
[tex]h = -16x^2 + 16x[/tex]
Where
h is the height reached by the ball after x seconds
When it touches the ground, h = 0
So,
[tex]-16x^2 + 16x=0\\\\16x(-x+1)=0\\\\x=0\ and\ x=1[/tex]
So, it will touch the ground at x = 0 and x = 1 seconds.
Question 7 (3 points)
Cris borrowed $10,000 at an interest rate of 6% compounded daily. What is her approximate balance at the end of 4 years?
A $14,100
B $14,400
C $11,800
D $13,500
E $12,700
Find the value of x in the parallelogram below.
Answer:
B) x = 12
Step-by-step explanation:
m∡EOU = m∡TQE
m∡EOU =180 - (39+45) = 96°
m∡TQE: 7x + 12 = 96
7x = 84
x = 12
A rectangle has a width of 3 units. The rectangle's length is 5 times its width.
What is the area of the rectangle?
square units
Answer:
45 sq. units
Step-by-step explanation:
3x5=15
15x3=45
What percentage of students in this dot plot spent more than 5 hours on homework?
(Hint: there are 25 dots in total)
Answer:
5
Step-by-step explanation:
Answer: 1
Step-by-step explanation:
An absolute value function would fail what kind of test? *
the horizontal line test
the vertical line test
the regression formula test
the exponential formula test
Answer:
The horizontal line test.
Step-by-step explanation:
If you do the test, the horizontal line will intersect at 2 points.
Imagine you wish to determine whether the mean number of hours worked per week by men in a sample differs from the national 40-hour average. Use the information below to calculate the t-statisic. Be sure to also specify the degrees of freedom. Weekly Hours Worked by Men Range 60 Minimum value 5 Maximum value 65 Mean 42.31 Standard deviation 10.00 Number of observations 29
Answer:
Step-by-step explanation:
The sample standard deviation (s) divided by the square root of the number of observations in the sample (n).
An apartment complex stretched a string of decorative floats diagonally across a
rectangular pool. The width of the pool is 15 ft and the length of the pool is 20 ft.
What is the length of the a diagonal that the floats are stretched across ?
Answer:
25 feet
Step-by-step explanation:
Use the pythagorean theorem, where the width and length of the pool are the legs of the triangle.
Solve for c, the hypotenuse/diagonal
a² + b² = c²
15² + 20² = c²
225 + 400 = c²
625 = c²
25 = c
So, the length of the diagonal is 25 feet
How many 4 digit numbers are multiples of 8?
Answer:
The multiples of 8 are 8,16,24,32,40,48,56,64,72,80,88,96,104,112,120,128,136,144,152,160,168,176,184,192,200,208 and so on. Any number that can be denoted in the form 8n where n is a natural number is a multiple of 8.
The table below is comparing level of education achieved to the rate of unemployment and the median weekly earnings in 2008. Based on the information provided, the unemployment rate decreases the most when moving between which two consecutive educational levels?
Answer:
"less than high school" and" high school graduate".
Answer:
The table below is comparing level of education achieved to the rate of unemployment and the median weekly earnings in 2008. Based on the information provided, the unemployment rate decreases the most when moving between which two consecutive educational levels?
a.
“Less than high school” and “High School Graduate” <<<<<<<CORRECT
b.
“High school graduate” and “Some college, no degree”
c.
“Associate degree” and “Bachelor’s degree”
d.
“Professional degree” and “Doctoral degree”
Step-by-step explanation:
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