Step-by-step explanation:
The area of any 2-d quadrilateral is equal to the base of the shape times the height, though we can just sub in length and width here. The key bits of information here is the aspect ratio (4:3) and the given area (300 in^2).
So far this gives us L∗W=300in2
Now, the aspect ratio given implies for every 4 inches in length, there will be 3 inches in width. This allows us to factor out a 4 and a 3 from the Length and Width respectively and give them the same constant variable, like so:
4x∗3x=300in2
Now, some might be tempted to go ahead with 12x here, but let’s expand the left side out to see what’s really going on:
4∗x∗3∗x=300in2
From here, let’s resolve like terms Our constants will multiply together and give us 12, and x * x of course gives us x^2 to give us the following:
12x2=300in2
From here, simply divide through by 12 to isolate x on one side,x2=25
And finally take the square root of both sides to work out what your common factor is,
x=5
Now that we have out common factor, let’s plug it back into our original formula to find our Length and Width, like so.
(4∗5)in∗(3∗5)in=300in2
20in∗15in=300in2
Therefore, the Length of our rectangle is 20in, and the Width of our rectangle is 15in
Conditionals: photo attached
Answer:
if the aninmal is fluffy then it is not an aligator
Step-by-step explanation:
Please solve correctly I will mark brainliest
Angles DUT and VUD sum to VUT. We can create an equation to model this.
DUT + VUD = VUT
Now, let's plug our values into the equation.
24x + 5 + 46 = 35x - 4
Simplify the left side.
24x + 51 = 35x - 4
Subtract 24x from both sides and add 4 to both sides.
55 = 11x
Divide both sides by 11.
5 = x
A regular square-based pyramid has a surface area of 33 m2. If its triangular faces have an area of 6 m2, what is the length of the base of the pyramid?
Answer:
First we can do 33 time 6
Step-by-step explanation:
The length of the base of the pyramid is 3 meters.
What is a square pyramid?A pyramid is a polyhedron that has a base and 3 or greater triangular faces that meet at a point above the base. A square pyramid is a pyramid with a square base, four triangular sides, five vertices, and eight edges.
For the given situation,
The surface area of the pyramid = 33 m^2
Area of triangular faces = 6 m^2
Let the base of the pyramid be b and the height be h.
The formula of area of triangle is
[tex]A = \frac{1}{2}(b)(h)[/tex]
⇒ [tex]6 = \frac{1}{2}(b)(h)[/tex]
⇒ [tex]6(2) = (b)(h)[/tex]
⇒ [tex]12 = (b)(h)[/tex]
The formula of surface area of square pyramid is
[tex]SA = b^{2}+2bh[/tex]
⇒ [tex]33=b^{2} +2(12)[/tex]
⇒ [tex]33-24=b^{2}[/tex]
⇒ [tex]b=\sqrt{9}[/tex]
⇒ [tex]b=3[/tex]
Hence we can conclude that the length of the base of the pyramid is 3 meters.
Learn more about square pyramid here
https://brainly.com/question/22645991
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Evaluate 3x when x = -8.
x = -8
3x = 3 · (-8) = -24
.......
examples of ratios that equal 18 to 4
Plz help me solve this ill award brainly
Answer:
x = 25 Degrees
Step-by-step explanation:
74-49 to make 25. The 74 represents the who entire angle. The 49 represents the smaller bottom angle. To get the other angle you would subtract 49 from 74 to make 25 degrees.
(please help!)
Add −1.25+2.5
Plot the first addend and the sum on the number.
Answer:
the answer of this question is 1.25
11 4/5 + -8 1/3
NO LINKS OR TROLLING
Answer:
52/15= 3.46
YOUR WELCOME PERSON
Simplify the following expression:
2x − 8y + 3x2 + 7y − 12x
Question options:
3x2 − 14x − y
3x2 − 10x − y
3x2 − 10x − 15y
3x2 + 10x − y
Answer:
2nd option
Step-by-step explanation:
Given
2x - 8y + 3x² + 7y - 12x ← collect like terms
= 3x² + (2x - 12x) + (- 8y + 7y)
= 3x² + (- 10x) + (- y)
= 3x² - 10x - y
solve for x
-2^2(-5x+10)=100
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
Hi there!
[tex]-2^2(-5x+10)=100[/tex]
Solve -2^2:
[tex]-4(-5x+10)=100[/tex]
Divide both sides by -4:
[tex]\displaystyle \frac{ -4(-5x+10)}{-4}=\frac{100}{-4} \\\\-5x+10=-25[/tex]
Subtract 10 from both sides:
[tex]-5x+10-10=-25-10\\-5x=-35[/tex]
Divide both sides by -5:
[tex]\displaystyle \frac{-5x}{-5} = \frac{-35}{-5} \\\\x=7[/tex]
Therefore, x = 7.
I hope this helps!
five friends by a package of 12 cookies and want to share them equally each friend will get 1/5 of the cookies how much will each friend get
Answer:
2.4 cookies
Step-by-step explanation:
Just divide
What’s 3-5*2x+79/ 3 12/14 =
Answer: −10x+23 13/27
Step-by-step explanation: -(5)(2x) -10x 3+79/ 3 12/14 3+ 79 / 3 6 /7 3+ 79 / 27 /7 3+ 553 /27 634 /27 23 13 /27 −10x+23 13/27
Helpppppppppppppppppppp
Step-by-step explanation:
could you write it clearly pls !!!
Answer:
s = 3/10
Step-by-step explanation:
-S - 5st =0
S = 3
t = -2
-3 - 5 (-2) s =0
10 s = 3
s = 3/10
Use partial products and the distributive property to calculate the product. Use paper to show your work.
300\times 41.9300×41.9
Answer:
22054.36
Step-by-step explanation:
the quotient of five times a number 7 is no more than 10
Answer:
[tex]x \ge3.5[/tex]
Step-by-step explanation:
First, write the given in the form of a mathematical equation rather than words. I'll call the mystery number given in the question [tex]x[/tex]:
[tex]\frac{5*7}{x} \leq 10[/tex]
Simplify:
[tex]\frac{35}{x} \leq 10[/tex]
Solve for x:
[tex]\frac{35}{x} *x\leq 10*x[/tex]
Simplify the fraction:
[tex]35\leq 10x[/tex]
Divide by 10 to isolate x:
[tex]\frac{35}{10} \leq x[/tex]
Flip the equation around to make it easier to read:
[tex]x \ge \frac{35}{10}[/tex]
Simplify the fraction:
[tex]x \ge \frac{7}{2}[/tex] or [tex]x \ge3.5[/tex]
John wants to buy strawberries and apples to make a fruit tart. Strawberries cost $3 per pound and apples cost $2.25 per pound. How much does he spend if he buys 0.5 pounds of strawberries and 3 pounds of apples? How much does he spend if he buys xx pounds of strawberries and yy pounds of apples?
Answer:
he spends $1.5 on strawberries and $6.75 on apples
if f(x)=4x-5 what is the value of f(2)
▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄
Value of Polynomial :The value of a polynomial p(x) or f(x) at x = α is obtained by putting x = α in p(x) or f(x) and it is denoted by p(α) ...!
Required Solution :Let f(x) = 4x - 5
⇒f(2) = 4(2) - 5
= 4 × 2 - 5
= 8 - 5
= 3
Hence, If f(x) = 4x-5 then the value of f(2) will be 3 ...!
▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄
Answer:
f(2) = 3Step-by-step explanation:
f(x) = 4x-5f(2) = (4×2)-5f(2) = 8-5f(2) = 3HOPE THIS HELPS YOU......I need the answer to this question
Answer:
y = 3/4x + 19/2
Step-by-step explanation:
m = 3/4. point (-6,5)
Point slope form:
y-5=3/4(x- -6)
y -5 = 3/4x + 18/4. 18/4 = 9/2
Y = 3/4x + 9/2 + 5. 5 times 2 plus 9 over 2 = 19/2
y = 3/4x + 19/2
HELPPP?!!! What is the value of f(-2) and f(3)
What is 4=2x as a improper fraction or integer
Answer:
2/4 or 1/2
Step-by-step explanation:
Divide both sides by 2 and you get x=2/4. You can simplify further by dividing 2 and 4 by 2 to get 1/2
Find the number of terms in this polynomial.
–10t5 + 2t
Answer:
8t
Step-by-step explanation:
10t-2t= 8t
8t+5
the perimeter of a rectangular tray is 60in the length of the tray is double the width of a tray determine the dimensions of the rectangular tray
Answer:
Step-by-step explanation:
Width = w
Length = double the width = 2*w = 2w
Perimeter of rectangular tray = 60 in
2*(length + width) = 60
2*( 2w + w) = 60
2*3w = 60
6w = 60
Divide both sides by 6
w = 60/6
w = 10 in
length =2w = 2*10 = 20
length = 20 in
Width = 10 in
10 times the quantity 9 minus a number x
Answer:
[tex]10 \times 9 - x \\ x = 10 \times 9 \\ x = 90[/tex]
PLEASE MARK ME BRAINLIEST.Find the sum without using a number line
-6 1/3 + 3=
Answer:
-3.33333333333
-3.33 is your answer
hope this helps
Let y=|x|-2, where the domain is the set of integers from – 4 to 4.
What is the range?
i dont know i wish I could help.
Answer:
-2 to 2
Step-by-step explanation:
see there's the sign of absolute value around x
so even if we put a negative number in place of x we'll get a positive outcome.
for example,
if x = -4|x| = 4
if x = -3|x| = 3
and so on
so the actual domain of |x| reduces to => 0 to 4.
as you'll get the values of |x| in between 0 and 4 throughout -4 to 4.
where the smallest value is 0 and largest is 4.
for range,
I'll just put these smallest and largest values in place of x and solve for domain
at x = 0y= |0| - 2
y = -2
at x = 4y = |4| - 2
y= 4 - 2
y = 2
so, the range of the function becomes -2 to 2.
Need help with #12
Please help
Step-by-step explanation:
If the figure is triangle then,
Let PR be x
So,
PQ+QR+PR= 180 (Sum of all the angles of the triangle)
Therefore,
6x+25+16-3x+x=180
4x+36=180
4x= 180/36
x= 144/4
X= 36
NOW,
PQ= 6x+25
= 6(36)+25
= 216+25 = 241= PQ.
QR = 16-3x
= 16-3(36)
= 16-108
= -92
PR = 36
hope it helps
Answer:
PR = 36
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
What is the missing number?
7/18= 21/?
A.3
B.32
C.44
D.54
Answer:
7x3=21
18x3=54.
Hope it helps you...Answer:
D 0.54
Step-by-step explanation:
7/18 = 0.389
21/0.54 = 0.389
Use a calculator to if you're unsure or want to double check. (PS. I used it)
Hope it helped! Don't forget to give it 5 stars and leave a comment below if it helped! Thanks!
-3+x=-8 what is the answer
Answer:
x=-5
Step-by-step explanation:
add 3 to -8
1 Regroup terms.
x-3=-8
x−3=−8
2 Add 33 to both sides.
x=-8+3
x=−8+3
3 Simplify -8+3−8+3 to -5−5.
x=-5
x=−5
Answer: x=−5
_______is the process of paying off a debt with regular fixed payments.
PLEASE HELP.I WILL MARK YOU BRAINLIEST
A baseball team won 16 games and lost 11. At this rate, how many games will it win in a 162-game schedule?
==========================================================
Explanation:
The team won 16 games and lost 11 so far. At this point in the season, they played 16+11 = 27 games total. Their win rate is 16/27.
Set this equal to x/162 which is the win rate for winning x games out of 162 played over the entire season.
Solve for x.
x/162 = 16/27
27x = 162*16 ... cross multiplication
27x = 2592
x = 2592/27
x = 96
The team would win 96 games if it kept the same winning rate going.
Notice that 16/27 = 0.5926 = 59.26% and how 96/162 = 0.5926 = 59.26% as well (both are approximate). This helps confirm we have the correct answer.
-------------------------
Here's another slightly longer way to solve. If you prefer the first method above, then ignore this section.
w = number of games won over the entire 162 game season
162-w = number of games lost over the entire season
w/(162-w) = win to loss ratio
16/11 = win to loss ratio after winning 16 games and losing 11
Setting those last two expressions equal to each other and solving for w gets us...
w/(162-w) = 16/11
11w = 16(162-w)
11w = 2592-16w
11w+16w = 2592
27w = 2592 ... this hopefully looks a bit familiar from before
w = 2592/27
w = 96 games won
