Answer:
12.1 inches
Step-by-step explanation:
Since the length of the rectangular painting is (2x + 5) inches and its width is x inches, it area A = (2x + 5)x square inches = 2x² + 5x.
Also, A = 420 square inches. So,
2x² + 5x = 420
2x² + 5x - 420 = 0
diving through by 2, we have
2x²/2 + 5x/2 - 420/2 = 0/2
x² + 5x/2 - 210 = 0
adding halt the coefficient of x squared to both sides, that is (5/2 ÷ 2)² = (5/4)² to both sides, we have
x² + 5x/2 + (5/4)² - 210 = 0 + (5/4)²
Simplifying, we have
(x + 5/2)² - 210 = 25/16
adding 210 to both sides, we have
(x + 5/2)² - 210 + 210 = 25/16 + 210
(x + 5/2)² = 25/16 + 210
(x + 5/2)² = (25 + 3360)/16
(x + 5/2)² = 3385/16
taking square root of both sides, we have
√(x + 5/2)² = ±√(3385/16)
(x + 5/2) = ±√3385/4
(x + 5/2) = ±58.18075/4
(x + 5/2) = ±14.55
x = -5/2 ±14.55
x = -2.5 ±14.55
x = -2.5 - 14.55 or -2.5 + 14.55
x = - 17.05 or 12.05
Since x = width and it cannot be negative, we choose the positive answer. So, x = 12.05 inches ≅ 12.1 inches (to the nearest tenth)
Which is equivalent to the expression below?
2k + (−3m ) − 6k + 2m
A. −4k + (−2m)
B. −4k + (−m)
C. 4k − 5m
D. 4k − m
Answer:
−4k + (−m)
Step-by-step explanation:
combined like term:
solve for k: 2k - 6k = -4k
solve for m: -3m + 2m = -1m which is -m
combined together the equation: -4k + -m or it can just be -4k - m
Find the area of a circle with radius, r = 16cm.
Give your answer rounded to 3 SF.
Answer:
Area≈804.25
Step-by-step explanation:
Answer:
its just 804 when rounded to 3 significant figures :)
Step-by-step explanation:
just completed it
can someone help me with this question?
When solving a system of equations, Jared found y = x + 10 for one equation and substituted x + 10 for y in the other equation. Nicole found x = y – 10 for the same equation and substituted y – 10 for x in the other equation. Who is correct? Explain.
Answer:
Jared and Nicole are correct.
Step-by-step explanation:
You can solve for either variable and use the equivalent expression to create a one-variable equation. They manipulated the equation right. They can either write the equation as y as a function of x then substitute it to the y in the other equation and solve for x. For both solutions, they'll still get the same answers.
The radius of a sphere with a volume of 4.5 cubic mm is ___ mm.
Answer: 1.5 mm
Step-by-step explanation:
Answer: r=1.02
Step-by-step explanation:
(3 • 4.5/4•pi)1/2
write an expression equivalent to `b+b+b+b+b` that is a product of a coefficient and a variable.
Answer:
b^5
Step-by-step explanation:
The expression `b+b+b+b+b` is equivalent to 5b, which is a product of a coefficient and a variable.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have:
= b+b+b+b+b
Here, b is the variable after adding b five times we get:
= 5b
5 is the coefficient and b is a variable.
Thus, the expression `b+b+b+b+b` is equivalent to 5b, which is a product of a coefficient and a variable.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
Solve for b to the nearest hundredth:
74b + 47 = 29
A. -.96
B. -.24
C. 1.03
D. 4.17
someone answer this!!!! Please:)
3+(5+4)(8-6)
3+(9)(2)
3+18
21
Which set of ordered pairs ***represents*** a function?
A)\{(4, 2), (-9, -2), (4, -1), (-8, 8)\}{(4,2),(−9,−2),(4,−1),(−8,8)}
B)\{(1, 3), (4, 1), (3, 0), (3, 9)\}{(1,3),(4,1),(3,0),(3,9)}
C)\{(0, 6), (5, -9), (-7, 8), (5, 5)\}{(0,6),(5,−9),(−7,8),(5,5)}
D)\{(2, -4), (-1, -5), (9, -8), (5, -4)\}{(2,−4),(−1,−5),(9,−8),(5,−4)}
Answer:
D
Step-by-step explanation:
the rest of them have 2 Y for 1 X
Please helppppp me with thissss!!!!
Answer:
p1.....area=lb=9×6=54in^2
p2....area=1/2bh
=14×9/2=7×9=63in^2
An equilateral triangle with side length 9 cm is shown in the diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.
Question:-
Find the area of an equilateral triangle with side length = 9cm correct upto one decimal place.
_______________________________________________
Solution:-
In an equilateral triangle all sides are equal.
Let s = side length = 9 cm
Then, area of equilateral triangle is given as:
A = (√3/4)s²
Putting the value of s here,
A = (√3/4) * (9 cm)²
=> A = (√3/4) * 81 cm²
=> A = √3 * 20.25 cm²
We know that, √3 = 1.732
=> A = 1.732 * 20.25 cm²
=> A = 35.073 cm²
Rounding to one decimal place,
=> A = 35.1 cm²
_______________________________________________
The answer is 35.1 cm².
Hope this helps; have a great day!
Use the double bar graph below to answer the following question.
What was the population of San Diego in 2000?
1,000,000
1,200,000
1,100,000
2,000,000
Answer:
the population would be 1,200,000 of San Diego in 2000
Answer:
1,200,000 is your answer
Step-by-step explanation:
Evaluate 2 1/2 × 2 1/2=2^b
Answer:
solve for b: b=2log2(5)-2
Step-by-step explanation:
Rewrite in simplest terms: 8(-10r-9)+9r
Answer:
-71r-72
Step-by-step explanation:
8(-10r-9)+9r
Distribute the 8
-80r -72 +9r
Combine like terms
-80r+9r -72
-71r-72
In the school election James ran against Ben for
secretary. James received 75% of the votes. If 240
students voted, how many votes did James
receive?
Can you help me with the matching part only please I will really appreciate also I will mark you the brainly!
Answer:
1d ; 2h ; 3f ; 4b ; 5e ; 6g ; 7a ; 8c
Step-by-step explanation:
Try memorize the formulas better, it certainly help
8.96÷26 pls help me
The tip of a 6 inch minute hand of a clock sweeps out circular arcs.
What is the length of the arc made by the tip of the minute hand between 5:35 and 5:45?
Use 3.14 for pi. Round your answer to the nearest hundredth.
Enter your answer in the box.
in.
Answer:
6.28 inch =6inch approx is your answer
Step-by-step explanation:
60minute=360°
{5:45-5:35=10)
10minute =360/60×10=60°
radius (r)=6inch
now
length of arc =60/360 ×2πr
=60/360×2×3.14×6=6.28 inch
Help i don't know what to do please help
Answer:
I would need to hear it.
Step-by-step explanation:
Solve for x
Help me please and thxxx
what is the area of this figure
Answer:
478km2
Step-by-step explanation:
(13km×25km)+［11km×(7km+4km)］+(8km×4km)
=325km2+121km2+32km2
=478km2
hope this helps
PLEASE HELP ME GIVING BRAINLEST AND NO LINKS!!!
Answer:
1.)280 2.)142.5 3.)30
Step-by-step explanation:
An angle measures 2.2° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
28 and 62
Step-by-step explanation:
complementary angles add up to 90o
x+(x-34) =90
2x-34=90
2x=56
x=28 (small angle)
28+34=62 (big angle)
28+62 =90
Mollie set a goal of saving at least $200 in a savings account. She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?
Answer:
28 weeks it will take to reach her goal
Choose the positive commands the Bible provides to help us through life's dilemmas.
Keep good testimony by how you live.
Love one another.
Be kind to each other.
Judging and condemn others.
Set your mind on earthly things.
Speak the truth.
There are many positive statements in the Bible. From the list of choices given :
Love one another
Be kind to each other
Set your mind on earthly things
And Speak the truth
These are all important things to do in life.
The positive commands which the Bible provides are Love one another, Be kind to each other, Set your mind on earthly things and Speak the truth.
What are the positive commands the Bible provides?
The positive commands which the Bible provides to help us through life's dilemmas are-
Love one another.Be kind to each other.Set your mind on earthly things.Speak the truth.Hence, the positive commands which the Bible provides are Love one another, Be kind to each other, Set your mind on earthly things and Speak the truth.
Learn more about positive commands of the Bible here;
https://brainly.com/question/9460726
can someone please help me out?
Answer:
=3 6/12 < 1 8/12
Step-by-step explanation:
w3=24
Question 4 options:
w = 8
w = 72
w = 12
w = 6
Answer:
w=8
Step-by-step explanation:
i took the k12 test
PLease i need answer.
2x²-2x+3x²-3=0
The equation is equal to the equation
Step-by-step explanation:
this answer is so important if you know
If 45% of a number, n, is 225. What is 74% of n?
Answer: 370
Step-by-step explanation:
Solve: 7x-12<7(X-1)
All Real Numbers
x>7
x<5
Answer:
There will be no real solution. A further explanation is given below.
Step-by-step explanation:
The given equation is:
⇒ [tex]7x-12<7(x-1)[/tex]
On solving bracket, we get
⇒ [tex]7x-12<7x-7[/tex]
On putting numbers on the right side and x's on the left side of the equation, we get
⇒ [tex]7x-7x<-7+12[/tex]
⇒ [tex]0<5[/tex]
Thus the above is the appropriate solution.
Please simplify 289/270
Answer:
1 19/270!
Step-by-step explanation:
Anywho If you need to simplify this stuff, Go to M.athway! It helps you simplify and other things!