Answer: x = 5
Step-by-step explanation:
The area of a rectangle is the length times the width. Since the dimensions are given as functions of x, youre going to have to use FOIL to combine them, then set that answer equal to the given value of 72.
l*w = (x+3)*(x+4) = x^2 + 7x +12 = 72
Subtract 72 on both sides. There is a reason why we'll do this instead of subtracting 12. The quadratic formula will help us to solve for x.
x^2 + 7x - 60 = 0
Apply the quadratic formula
[tex]\frac{-7 (+/-)\sqrt{7^2-(4)*(1)*(-60} }{2*1} =\frac{-7(+/-)17}{2}[/tex]
We cant have a negative x value because that would result in negative dimensions and a negative area, which is impossible in this context. So you want to add the 17 instead of subtracting it.
x = 5 and x = -12
An alternate way is just factoring the trinomial to:
(x+12)(x-5) = 0
A boat is traveling a distance of 90 km at a speed of 30 km/s, how long will it take to reach its destination?
PLEASE SHOW WORK!
Answer:
3 sec
Step-by-step explanation:
Answer:
[tex]3[/tex] seconds
Step-by-step explanation:
[tex]90 \div 30 = 3[/tex]
It will take [tex]3[/tex] seconds for the boat the reach its destination.
Find the value of x in the triangle shown below.
6
10
Answer:
50
Step-by-step explanation:
The value of x is 50 degrees
bcoz it is isosceles triangle
so two angles are equal
so value of x is 50
I hope this will help u
Answer:
x=5
Step-by-step explanation:
Pls help me this was due a long time ago ❤️
Answer:
its the last one
Step-by-step explanation:
Answer:
2017 - 2019
Step-by-step explanation:
because 2019 is the largest and 2017 is the largest one from the top of the weight list
I dont know is this right
Please help I really need it
Zoom in so it won’t be blurry
Answer:
this is the answer45x+134x
ArgXxN4qfLUOVON6BE2
Nearpod - Slor X
Playing a Gar x
Nearpod - Slope Day 2
app nearpod.com
086252F5Z14XR
Find the slope of the line that passes through:
(6,7) and (4,2)
1
2.
5
5
2
Answer:
slope is 5/2
Step-by-step explanation:
5 over 2
original price $90 markdown 24%
A customer bought a soda and 2 hotdogs for $7 another customer bought a soda in for hotdogs for $12
The lifespans of gorillas in a particular zoo are normally distributed. The average gorilla lives 20.8 years; the
standard deviation is 3.1 years.
Use the empirical rule (68 – 95 - 99.7%) to estimate the probability of a gorilla living between 11.5 and 27 years.
Find the exact height of the isosceles triangle.
Please help me on this question I’m stuck:(
Does the graph represent an linear or nonlinear function
Answer:
This graph is Non linear
Need help ASAP!
Which inequality is represented by this graph
Answer:
a
the first answer
Step-by-step explanation:
In a March 2016 survey by Gallup of 1019 US
adults, 65% believe that global warming is due
more to human activity than natural changes in
the environment.
Assume the conditions for inference have been
met. Create a 95% confidence interval for the true proportion of US adults that believe global warming is due more to human activity than natural changes.
Answer:
Americans are taking global warming more seriously than at any time in the past eight years, according to several measures in Gallup's annual environment poll. Most emblematic is the rise in their stated concern about the issue. Sixty-four percent of U.S. adults say they are worried a "great deal" or "fair amount" about global warming, up from 55% at this time last year and the highest reading since 2008.
Mirroring this, the March 2-6 survey -- conducted at the close of what has reportedly been the warmest winter on record in the U.S. -- documents a slight increase in the percentage of Americans who believe the effects of global warming have already begun. Nearly six in 10 (59%) today say the effects have already begun, up from 55% in March 2015. Another 31%, up from 28% in 2015, believe the effects are not currently manifest but will be at some point in the future. That leaves only 10% saying the effects will never happen, down from 16% last year and the lowest since 2007.
The cylinder shown here has a height of 7 centimeters and a radius of 4 centimeters.
Part A. What is the area of the base of the cylinder? Express your answer in terms of π. options are: 15 pi cm, 14 pi cm, 16 pi cm, 17 pi cm.
Part B: How many cubic centimeters of fluid can fill this cylinder? Express your answer in terms of π. options are: 112 pi cm, 110 pi cm, 113 pi cm, 107 pi cm.
Part C: Give a decimal approximation of your answer to the second question using 3.14 to approximate π. options are: 351.68 cm, 368.15 cm, 386.51 cm, 315.68 cm.
Answer:
A: 16[tex]\pi[/tex][tex]cm^{2}[/tex]
B: 112[tex]\pi[/tex][tex]cm^{3}[/tex]
C: 351.68[tex]cm^{2}[/tex]
Step-by-step explanation:
The cubic inches that can fill the cylinder is [tex]112\pi[/tex] and the decimal approximation 351.68 cm^3
The given parameters are:
Radius (r) = 4 cm
Height (h) = 7 cm
The area of the baseThe area of the base is:
[tex]A = \pi r^2[/tex]
So, we have:
[tex]A = \pi *4^2[/tex]
[tex]A = 16\pi[/tex]
Hence, the area of the base is [tex]16\pi[/tex]
The cubic inches that can fill the cylinderThis is the volume of the cylinder.
So, we have:
[tex]V = \pi r^2h[/tex]
Substitute known values
[tex]V = \pi * 4^2 * 7[/tex]
[tex]V = 112\pi[/tex]
Hence, the cubic inches that can fill the cylinder is [tex]112\pi[/tex]
The decimal approximationWe have:
[tex]V = 112\pi[/tex]
Expand
[tex]V = 112 * 3.14[/tex]
Evaluate the product
[tex]V = 351.68[/tex]
Hence, the cubic inches that can fill the cylinder is 351.68 cm^3
Read more about volume at:
https://brainly.com/question/10171109
I need helppp Its due at 2
Answer:
the first one is 20% im too lazy for the second one
Step-by-step explanation:
what is 4 x 4 for point yeehaww
Answer: 16.
Step-by-step explanation:
the legs of a right triangle measure 5 inches and 7 inches if the theta is the the angle between the 5 inch leg and hypotenuse, cos
theta
9514 1404 393
Answer:
cos(θ) = (5√74)/74
Step-by-step explanation:
The length of the hypotenuse is given by the Pythagorean theorem:
h = √(5² +7²) = √74
The cosine of the angle is the ratio of the adjacent leg to the hypotenuse:
cos(θ) = 5/√74 = (5√74)/74
which of the j values satisfy the following inequality? 10>j+5
choose all that apply
j=3
j=4
j=5
Answer:
All of them
Step-by-step explanation:
Khan 7th Grade, Quiz 3
Plz help !!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
x^2 + 7x + 5x + 35
7x : II
5x: III
35: IV
What is 17 = 3x + 2 ?
Answer:
x = 5
Explanation:
Subtracting 2 from both sides of the equation
17 − 2 = 3x +2 − 2
15=3x
Dividing both sides by 3
15/3 = 3x/3
5 = x
Answer:
x=5
Step-by-step explanation:
PLEASE HELP!!!!
Will give Brainliest!!!
Write the equation of the line passing through the points (-1, 2) and (3, 4)
A)
y = 2x - 2
B)
y = 2x - 10
+
C)
y =1/2x + 5/2
D) y=1/2x-5/2
Answer:
D
Step-by-step explanation:
y_2 - y_1 / x_2 - x _1
4 - 2 / 3 - (-1) = 2/4 = 1/2
y +4 = 1/2 (x + 3) distributive property
y + 4 = 1/2x + 1.5
y= 1/2x - 5/2 subtraction (you subtract 4 from both sides) (-5/2 = -2.5)
therefore your equation is y = 1/2x - 5/2
hope this helps :)
what is the volume of this box if the volume is scaled down to 1/10? the original volume is 528 and the length is 11 inches the width is 8 inches and the height is 6.
Answer:
Step-by-step explanation:
I assume the box is a rectangular figure
Volume, V=L*W*H
V=11*8*6=528 in^3
528*1/10=52.8 in^3
Write a ratio in simplest form that compares the number of basketball cards to the total number of cards.
I am expecting that 52 total cards
Help please ASAP!!!!
PLEASE HELO ME IT EXTREMELY URGENT !
Answer: do mx+b
Step-by-step explanation:
2) How much sales tax does Jaylen have to pay if the sales tax rate
is 8.875%? What is Jaylen's final price?
Answer:
The New York (NY) state sales tax rate is currently 4%. Depending on local municipalities, the total tax rate can be as high as 8.875%. Other, local-level tax rates in the state of New York are quite complex compared against local-level tax rates in other states.
Is (6, 8) a solution to y = 8/3x - 8?
Answer:
Yes it is a solution
Step-by-step explanation:
[tex] \frac{8}{3} \times 6 - 8 = \\ 16 - 8 = 8[/tex]
Answer:
Is (6, 8) a solution to y = 8/3x - 8?
Step-by-step explanation:
answer asap ty.!
Thanks
Answer:
x=0
Step-by-step explanation:
5-9+3x = -10+6
-4+3x = -4
+4 . +4 (Both sides)
3x = 0
/3 /3 . (divide both sides by 3)
x=0
60.5 feet
16 feet
75.5 feet
How many squares of grass will need to be ordered to fill the entire park
Answer:
73084
Step-by-step explanation:
60.5*16*75.5
968*75.5
73084
7/8 x 3/5 simplified
Answer:
21/40
Step-by-step explanation:
First you multiply the numerators (7 & 3) to get 21, then denominators (8 & 5) to get 40, unfortunately it cannot be reduced
In the scenario that it could be reduced, I was taught to cross reduce. lets say we had 2/8 x 4/6
You could divide by four for the 8 (denominator) and 4 (numerator) getting you 2/4 and 1/6
Then you do the same thing for 2 (numerator) and (6 denominator) so 2/2 is 1 and 6/2 is 3
Leaving you with 1/4 x 1/3 making it easier to multiply, and you don't have to reduce! Hope this helps!!
Round 150,893 to the nearest thousand.
Answer:
151,000
Step-by-step explanation: