The area of the rectangle is 44 square inches larger than the area of the square.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
Let represents the original side length of the square "s", then the dimensions of the rectangle are (s+10) inches and (s-1) inches.
So the area of the rectangle is (s+10)(s-1) = s² + 9s - 10.
Since the area of the rectangle is given as 80 square inches, we can set up the equation:
s² + 9s - 10 = 80
Solving this equation for s, we find that s = 6. This means that the original side length of the square was 5 inches.
The area of the square is s² = 6² = 36 square inches. So the area of the rectangle is 80 square inches and the area of the square is 36 square inches.
Therefore, the area of the rectangle is 80 - 36 = 44 square inches larger than the area of the square.
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Can someone help (8 grade math)
Answer:
B) 110.92 u²
Step-by-step explanation:
to find the surface area, find the area of each side and add them together.
here are all 6 sides:
4.5 * 6.8
4.5 * 6.8
4.5 * 2.2
4.5 * 2.2
2.2 * 6.8
2.2 * 6.8
4.5 * 6.8 = 30.6
4.5 * 6.8 = 30.6
4.5 * 2.2 = 9.9
4.5 * 2.2 = 9.9
2.2 * 6.8 = 14.96
2.2 * 6.8 = 14.96
30.6 + 30.6 + 9.9 + 9.9 + 14.96 + 14.96
110.92
Marty had 10 pens. Four of these pens were blue. What is one way to show the ratio of blue pens to the total number of pens Marty had?
Answer: 2:5 or 2/5
Step-by-step explanation:
Since he has 10 pens, that will be the denominator and the # of blue pens will be the numerator. This gives you 4/10 which you simplify to get 2/5.
What is the slope of the line 6x + y = 24?
Answer:
-6
Step-by-step explanation:
You need to get it in Point-Slope form, or
y = mx + b
Isolate y by subtracting 6x
You are left with:
y = -6x + 24
M is the slope, so in this case, it is -6
Answer:
The slope is -6/1 but the slope-intercept form is y=-6x+24
Step-by-step explanation:
y=mx+b
6x+y=24
first you want to subtract 6x from each side.
y=-6x+24
m=-6x or -6/1
b= 24
Mr. Garza has a picture that measures 4 by 12 inches. It must be reduced so that the longest side measures 4 inches to fit in the school newspaper. Find the length of the shorter side of the picture once it has been reduced.
A. 2 inches
B. 1 1/2
C. 1 1/3
D. 1 inch
Answer: The length of the shorter side is [tex]1\frac{1}{3}[/tex] inches (option C).
Step-by-step explanation:
The ratio of the original picture is [tex]\frac{4}{12}[/tex].The ratio of the new picture is [tex]\frac{x}{4}[/tex].In order to get the longest side to 4, we divided by 3. As a result, we must divide 4 (the original shorter side) by 3 to find the new length.[tex]\frac{4}{3}[/tex] = [tex]1\frac{1}{3}[/tex]Zachary runs steadily at 10km/hr. HIs distance can be modelled by the equation y=10x, where y gives his distance (km) in relation to time (hrs). The kidnapper runs at 5km/hr (since he's carrying a princess) and is already 30km away when Zachary begins his pursuit. Give the equation for the kidnapper's distance (y) in relation to time (x) in slope-intercept form (y=mx+b) and then, standard form( ax + by+ c=0)
Answer:
tuff
Step-by-step explanation:
17c+7c-6c^6+2c^8 the polynomial standard form is _
Can y’all help me with this plz
Answer:
c
Step-by-step explanation:
my brother needs help with this
Answer:
You cant do 4x+24
7 (5)= 35
7 (2) 14
35+14-49=0
Step-by-step explanation:
Number 1 helppppppppppppppppp
Answer:
infinitely many solutions
what is root3(root3 - 1)
Answer:
3 - root3 or 3 - √3Step-by-step explanation:
root3(root3 - 1) =√3(√3 - 1) =√3(√3) - √3(1) = √3² - √3 =3 - √33 - root3[tex]\boxed{\blue{ 3-\sqrt{3} } }[/tex]
Step-by-step explanation:
[tex]\bold{\sqrt{3}(\sqrt{3}-1) }[/tex]
[tex]\bold{\sqrt{3}(\sqrt{3})-\sqrt{3}(1) }[/tex]
[tex]\bold{(\sqrt{3})^2-\sqrt{3} }[/tex]
[tex]\bold{ 3-\sqrt{3} }[/tex]
I need help, I don't quite understand
Answer:
1
Step-by-step explanation:
so we have:
f+2>5 2 goes the other side, so
f>5-2
f>3
f+4<9 4 goes to the other side, so
f<9-4
f<5
we have two inequality
f>3
f<5
f belongs (3,5), we have only one value for this, it is 4
Whats the product of 1/4 x 1/3
help me please this one is timed faster
Answer:
The slope is 3 and the y-intercept is 2.
Step-by-step explanation:
Slope is 3/1, following the line up 3 and over 1. The line crosses the y-axis at (0,2), so the intercept is 2. The slope-intercept can then be written as y=3x+2.
GIVING BRAINLIEST SOMENE PLS HELP IM FAILING
Answer:
[tex]\mathrm{D.\:} 7[/tex]
Step-by-step explanation:
A proportional function is given by [tex]y=kx[/tex] for some constant [tex]k[/tex]. We can plug any coordinate this line passes through to find this constant:
[tex]21=k(3),\\k=\fbox{$7$}[/tex].
is the relationship between the side length of a square and the area of a square proportional?
Answer:
Students make in-out tables to assist them in noticing patterns and generalizing the mathematical relationships. Expect students to discover that area increases proportionally to the square of how much the side length increases.)
(BRAINLIEST)PLEASE HELP ASAP!!
Answer:
(0, 3), (2, -1), (-6, 15)
Step-by-step explanation:
I recommend you use desmos scientific calculator for these problems.
So first you'll wan't to plug in the expression:
y=-2x+3
Then you''l want to put x= then the domains.
x=0, 2 or -6. (it doesn't matter as long as you put them in one at a time.)
youll then get each answer as you plug the numbers in.
x=0 y=3
x=2 y=-1
x=-6 y=15
Sorry if it wasn't clear to understand I'm doing my work at the same time as helping others.
Please somebody help me with this
Answer:
the answer is C
Step-by-step explanation:
2x - 3y > -12
3x + 2y < or = 18
Sadie's sweets is having a sale on all their baked goods they are regularly priced at $4 but they are marked down to $2.6 what percent off are they
Answer:
35% off
Step-by-step explanation:
= |4 - 2.6|/((4 + 2.6)/2) = 1.4/3.3 = 0.42424242424242 = 42.424242424242%
Percentage of decrease = |4 - 2.6|/4 = 1.4/4 = 0.35 = 35%
2.6 is a 35% decrease of 4.
Find the value of x. Round to the nearest tenth. Can you please give me the step by step?
Answer:
x = -4.4
Step-by-step explanation:
i hope this can explain?
4y + 10 = 5x 2.5x + 2y = -10
Answer:
are they seperate equations?
Step-by-step explanation:
a diagram shows y = x + 5 what description is correct an increase by 5/6 a decrease by 5/11?
Step-by-step explanation:
nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn
Can someone help me I need it to be broken down
Answer:
[tex]x + 23 + x + 80 = 180 \\ 2x + 103 = 180 \\ 2x = 77 \\ x = 38.5[/tex]
6-9 questions that’s all
Your baseball team has won 6 game and lost 4 game.If the the team dosen;t lose anymore games how many games must the team win to have a win:the ration is 2:1 ? Explain your answer
Answer: 2 more games
Step-by-step explanation:
From the question, we are informed that a baseball team has won 6 game and lost 4 game.
We are further told that the team dosent lose anymore games and want to know the number of games they must win to have a ratio of 2:1.
Since they have lost 4 games and need a ratio of 2:1. This means we have to multiply the game lost by 2. This will be: = 4 × 2 = 8 games.
Since they've won 6 games already, they'll need to win = 8 - 6 = 2 games more.
you deposit $2000 in a savings account earning 5% simple interest. How long will it take for the balance of the account to be $3800? (PLEASE EXPLAIN)
Answer:
1.8 years
Step-by-step explanation:
Step one:
given data
P= $2000
Rate= 5%
Final amount A= $3800
Step two
A= P(1+rt)
substitute
3800=2000(1+0.05*t)
solve for t
3800=2000(1.05t)
3800=2100t
divide both sides by 2100
t= 3800/2100
t=1.8 years
it will take 1.8 years
Tanya bought a new television for $1,200. The deal was attractive to her because she was required to make interest payments on the $1,200 purchase for the first year. After one year of interest-only payments, how much did Tanya owe on the television?
Answer:
1,200
Step-by-step explanation:
Jonah bicycled 12 miles in 4 hours. What is the unit rate?
3 miles per hour
8 miles per hour
16 miles per hour
48 miles per hour
Answer:
3 mph
Step-by-step explanation:
12 divided by 4 is 3
Answer:
The answer is A
Step-by-step explanation:
Hello! I will give you fifteen points if you solve this correctly!
Answer:
mark each line about 1 in. apart
Plzzzzz give me Brainliest!!!!!
What is the least common denominator of the rational expressions below?
Answer:
Answer:
x(x-3)(x+4)
Step-by-step explanation:
(a) The diagram shows a circle, centre 0. AB and CD are chord.
Given that OM = 8 cm, NT = 3 cm, AB = 30 cm.
(1) Calculate the radius
(2) Calculate the length of CD
Answer:
1) Radius = 17 cm
2). CD = 19.3 cm
Step-by-step explanation:
1). O is the center of the given circle.
By joining the center and point A located at the circumference of the circle,
OA = radius of the circle.
Length of chord AB = 30 cm
"Line from the center of a circle to the chord inside the circle is a perpendicular bisector of the chord"
By the given property, OM equally divides the chord AB.
AM = MB
AM = [tex]\frac{1}{2}(AB)[/tex]
AM = [tex]\frac{10}{2}[/tex] = 5 cm
By applying Pythagoras theorem in ΔOAM,
AO² = OM² + AM²
AO² = 8² + 15²
AO = √289
AO = 17 cm
Therefore, radius of the circle = 17 cm
2). Since, OT, OC and OA are the radii of the given circle,
OT = OC = OA = 17 cm
ON = OT - NT
= 17 - 3
= 14 cm
By applying Pythagoras theorem in ΔOCM,
OC² = ON² + CN²
17² = 14² + CN²
CN = [tex]\sqrt{(17^2-14^2)}[/tex]
= [tex]\sqrt{93}[/tex]
= 9.64 cm
Since, CD = 2(CN)
CD = 2 × 9.64
= 19.29 cm
≈ 19.3 cm