A rectangle is 4 miles longer than it is
wide. Find the dimensions of the
rectangle if its area is 221 sq-miles.
Answers
Answer:
1283 miklis
Step-by-step explanation:
Answer:
The lenght is 17 milesThe wide is 13 milesLet / l : the lenght of the rectangle
w : the wide of the rectangle
Step-by-step explanation:
[tex]a = l \times w \\ 221 = (w + 4) \times w \\ 221= w^{2} + 4w \\ {w}^{2} + 4w - 221 = 0 \\ (w + 17)(w - 13) = 0 \\ either \: w + 17 = 0 \\ so \: w = - 17 \: mile \: \: \: \: neglect \\ or \: w - 13 = 0 \\ so \: w = 13 \\ l = w + 4 \\ l = 13 + 4 = 17 \: mile[/tex]
I hope that is useful for you
Related Questions
Which of the following place values would be found to the right of 1?
Answers
Answer:
1
Step-by-step explanation:
what are the values of f and d ?
Answers
Answer:
Step-by-step explanation:
1. 6f+45+15=180
6f=180-45-15
6f=130
f=130/6=65/6=21.66666666666666....
2. d=6f=130/6=65/6=21.66666666666666....
(They are vertical angles, opposite angles)
The point (-3, 2) lines on a circle whose equation is (x + 3)2 + ( + 1)2 = r2. Which of
the following must be the radius of the circle?
Answers
Answer:
3 units
Step-by-step explanation:
Equation of the circle is:
[tex] (x+3)^2 +(y+1)^2=r^2 [/tex]
[tex] \therefore [x-(-3)] ^2 +[(y-(-1)] ^2=r^2 [/tex]
Equating it with
[tex] (x-h)^2 +(y-k)^2=r^2 [/tex]
We find: h = - 3 & k = - 1
Center of the circle (C) = (-3, - 1)
Since, the point (-3, 2) lies on the circle, therefore radius of the circle wii be equal to the distance between the center of the circle (-3, - 1) and the point (-3, 2) which is on the circle.
Therefore,
[tex] r = \sqrt{[-3-(-3)]^2 +[2-(-1)]^2} [/tex]
[tex] r = \sqrt{[-3+3]^2 +[2+1]^2} [/tex]
[tex] r = \sqrt{[0]^2 +[3]^2} [/tex]
[tex] r = \sqrt{0 +9} [/tex]
[tex] r = \sqrt{9} [/tex]
[tex] r = 3\: units [/tex]
Volunteers at a food pantry pack boxes of soup into crates. How many boxes of soup will fill each crate? Show your work.
Answers
Answer:
54 boxes
Step-by-step explanation:
Dimension of crate = 12 in by 18 in by 12 in
Volume of crate = (12 * 18 * 12) = 2592 in³
Dimension of box = 4 in by 2 in by 6 in
Volume of box = (4 * 2 * 6) = 48 in³
Number of boxes of soup that will fill each crate :
Volume of crate / volume of box
2592 in³ / 48 in³
= 54 boxes
What is the value of x in this equation?
8x + 40 = 180
Answers
Answer:
17.5
Step-by-step explanation:
180 = 40+ 8x
140 = 8x
17.5 = x
Answer:
17.5 is the correct answer to the question
Step-by-step explanation:
8x+40=180
8x=180-40
8x=140
X=140/8
X=17.5
A savings account starts with $980 at a simple interest rate of 5.5%. How much interest will the account earn in 3 years?
Answers
Answer:
Interest = $161.70
Step-by-step explanation:
Formula:
I = Prt
Given:
P = 980
r = 0.055
t = 3
Work:
I = Prt
I = 980(0.055)(3)
I = 53.9(3)
I = 161.7
Jameson and Quincy each deposit $7,000 into accounts that earn 6% interest, but Jameson earns annual simple interest while Quincy earns annual compound interest. Assuming neither one of them makes any deposits or withdrawals for 60 months, who will have more money in their account after the 60 months?
Answers
Answer:
its B
Step-by-step explanation:
hi i really need help
Answers
Answer:
D
Step-by-step explanation:
Simplify the following ratio 49:7
Answers
Answer:
7:1
Step-by-step explanation:
Am I right?
If you don't know, it's okay, but don't answer. I need someone that could help.
Answers
the angle next to the 99° angle is makes a supplementary angle. 180-90=81
Hope it helps you!.........
pls help! question is on the picture
Answers
Answer:
Uhhh
Step-by-step explanation:
Answer:
9/40
Step-by-step explanation:
Tan of an angle equals the length of the side opposite the angle divided by the length of the leg adjacent to the angle. Thus, for angle C, AB is opposite it, which is 9, and although both CA and CB are adjacent, adjacent typically refers to the leg, not the hypotenuse, so we want CB, which is 40. Opposite/Adjacent = 9/40
2.
Which set of angle measures can be used to construct a triangle?
A. O 50°, 65°, 75°
B.
45°, 60°, 75°
C
45°, 650, 75°
DO 50°, 45°, 75°
Answers
All you gotta do is add all the different options and see which gives you 180 degrees.
Calculate the volume of the cylinder giving your answer to 1 decimal. Picture linked. Please I have a math test tomorrow I'll give extra points for explanation!!!
Answers
Answer:
549.5 cm³
Step-by-step explanation:
___________________________________________________________
FORMULA USED IN THE QUESTION :-
Volume of a cylinder whose height is 'h' and radius is 'r' = [tex]\pi \times r^2 \times h[/tex]
___________________________________________________________
According to the question ,
Height of cylinder (h) = 7 cm
Radius of cylinder (r) = 5 cm
Volume of cylinder = [tex]\pi \times 5^2 \times 7 = 3.14 \times 25 \times 7 = 549.5 \: cm^3[/tex]
el 14 es primo ayuda es urgente
Answers
Answer:
no es primo
Step-by-step explanation:
El 14 es un número compuesto. Es divisible por 1, por 2, por 7 y por 14.
find the volume of the figure please.
Answers
Answer:
Step-by-step explanation:
area of side face=(37+15)/2 ×25.7=26×25.7 cm²
volume=26×25.7×20=13364 cm³
What is the area of the following composite figure?
60 cm 2
52 cm 2
44 cm 2
36 cm 2
Answers
Answer:
60 is the correct answer
Answer:
44
Step-by-step explanation:
Will give brainlyest
Answers
Answer:
10 hours
Step-by-step explanation:
320 = 30x + 20
300 = 30x
x = 10
Answer:
10 hours
Step-by-step explanation:
We already have the equation, which is y = 30x + 20. Simply substitute 320 for y, and solve for x.
320 = 30x + 20
First, subtract 20 from both sides.
320 - 20 = 30x
300 = 30x
Now divide both sides by 30.
300/30 = x
10 = x
It will take about 10 hours for Robin to travel 320 miles.
consider the function f(x)=4x^2+8x-10 and g(x)=5x^2+10x-1
1 function f is a graph whose vertex is_____ the vertex for the graph of function g
a) higher than
b)lower than
c)located at the same axis of symmetry as
2 the vertex for the graph function f is_____ the vertex for the graph of function g
a) 2 units to the right of
b) 2 units to the left of
c) located at the same axis of symmetry as
Answers
Which is the graph of the following inequality?
X^2 < 4
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answers
Answer:
D) graph D
Step-by-step explanation:
x² < 4
x < [tex]\sqrt{4}[/tex] which means x < 2 and x > -2
Madison makes $1,800 per month at the salon, but 15% of that amount goes to her rent for her booth. What two numbers can you multiply to find out how much she has after paying her rent?
Answers
Answer:
well the answer is 120
Step-by-step explanation:
helppppppppppp meeeee
Answers
Answer:
y = -2x + 3
Step-by-step explanation:
Let's just put the three points together.
(-1, 5) (-4, 11) (-7, 17)
First, let's find the slope with y2 - y1/x2 - x1
Plug in using (-1, 5) and (-4, 11)
11 - 5/-4 + 1 = 6/-3 (simplify)
-2 is the slope
Now plug in (-7, 17) in the equation to get b or the y-intercept)
y = mx + b
17 = -2(-7) + b
17 = 14 + b (subtract 14 on both sides)
3 = b
y = -2x + 3
find the product of 10.2 and 6.3
Answers
Answer:
10.2*6.3=64.26
Step-by-step explanation:
Solve 102*63, then move the decimal point two numbers from the right:
Since 102*63=6426, then moving the decimal point two numbers from the right will mean 10.2*6.3=64.26
Answer:
64.26
Step-by-step explanation:
This is a simple multiplication
When you 'multiply' or 'times' even a product of a number you add it to itself a number of times, for this problem, 10.2 multiplied by 6.3 is the same as saying 10.2 + 10.2 + 10.2 = 64.26. Multiplication is therefore a quicker way of adding the same number many times, for example, 10.2 × 6.3 = 64.26. Therefore, the product of 10.2 and 6.3 is 64.26.
Please help! if you do you will get 'Brainliest'
Answers
! EASY & CORRECT ANSWER GETS BRAINLIST!
Answers
Answer:
11 = Y+5
Step-by-step explanation:
Answer:
i could be B or A not sure tho
a plumber charges $15 for a service call plus $20 per hour of service. Write an equation in slope-intercept form for the cost, y, after x hours of service. What will be the total cost for 8 hours of work?
Answers
Answer:
C= 25$ + 50$ * h
8 hours 425$
10 hours 525$
Step-by-step explanation:
Answer:
y = 20x + 15
The total cost for 8 hours of work will be $175
Step-by-step explanation:
To find the total cost for 8 hours of work, substitute the x in the equation with 8, and solve. 20 times 8 is 160. 160 + 15 is 175.
Please help I have to get my grades up
Answers
Answer:
A
Step-by-step explanation:
14/20 = 7/10 = 70%
Answer:
A
Step-by-step explanation:
The answer would be A because remeber 14 out of 20 is so close, so chose the closest number to make 100%.
can someone please help
find rate of change or slope
a. 1
b. 2
c. 1/2
d. 64
Answers
HELP ME NO LINKS :( ........................
Answers
Answer:
y = x - 10
Step-by-step explanation:
10 less than x would be written as x - 10, and subtracting 10 from x would ensure y (the output) is always less than the number you put in for x
[tex]\huge{\mathbb{\tt { ANSWER↓}}}[/tex]
[tex]\color{purple}{\tt{y=x−5}}[/tex]
[tex]\huge{\mathbb{EXPLANATION↓}}[/tex]
You said "output" means y and "input" means x , so the only other thing you need to know is "is" means = (equals):[tex]\green{\boxed{\boxed{\sf{For \: This \: Part \: Just \: Click \: the \: file \: attatched \: (photo)}}}}[/tex]
[tex]\color{orange}{\tt{Rewriting \: it \: yields:}}[/tex]
[tex]\color{blue}{\tt=y=x−5}[/tex]
#CarryOnLearning
#LetsEnjoyTheSummer
→XxKim02xXWhat is 3% of 1700
Can you please explain the method please
Answers
Answer:
3% of 1700 is 51
Step-by-step explanation:
3% is the same thing as 0.03 so when you find a percentage of something, you multiply that number by the percentage. In this case, it is 3% of 1700 so you multiply 1700 by 0.03 to get your final answer of 51.
I hope this helps!
1
Aaron participated in a 45-mile bikeathon to raise money for his favorite charity. The table shows Aaron's times at the beginning and end of the ride.
(a)
Time (hours)
o
Distance (kilometers)
0
3.6
45
Part A
What is Aaron's average biking speed in kilometers per hour?
kilometers per hour
APR
Ok
Answers
45/3.6=12.5