Here are two similar rectangles.
4 cm
4.8 cm
7 cm
Work out the area of the larger rectangle.
Answer:
[tex]40.32cm^{2}[/tex]
Step-by-step explanation
4*1.2=4.8
7*1.2=8.4
8.4*4.8=40.32
A rectangle is a two-dimensional shape where the length and width are different.
The length and width of the larger rectangle are 4.8 cm and 8.4 cm.
The area of the larger rectangle is 40.32 cm².
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
Two similar rectangles:
Smaller rectangles:
Length = 4 cm
Width = 7 cm
Larger rectangles:
Length = 4.8 cm
We need to find the width of the larger rectangle.
Since the two rectangles are similar.
4 cm = 4.8 cm
Multiply 7/4 on both sides.
7/4 x 4cm = 7/4 x 4.8 cm
7 cm = 8.4 cm
Now,
Larger rectangle:
Length = 4.8 cm
Width = 8.4 cm
Now,
The area of the larger rectangle:
Area = Length x width
Area = 4.8 x 8.4
Area = 40.32 cm²
Thus,
The area of the larger rectangle is 40.32 cm².
Learn more about rectangles here:
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How can you use powers and exponents to express known quantities
Lea wrote a number riddle. Her clues were:
9 is 10 times the value of the 9 in 329,513
2 is 110 the value of the 2 in 7,562
6 is 110 the value of the 6 in 4.68
Which number is an answer to Lea's riddle?
Answer:
498,173.26
Step-by-step explanation:
Solve: sqrt(x+9) = x-3
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[tex] \sqrt{x + 9} = x - 3[/tex]
Sides gets power 2
[tex] ({ \sqrt{x + 9} })^{2} = ( {x - 3})^{2} [/tex]
[tex] |x + 9| = {x}^{2} - 6x + 9 [/tex]
_________________________________
[tex]x + 9 = {x}^{2} - 6x + 9[/tex]
Subtract sides 9
[tex]x + 9 - 9 = {x}^{2} - 6x + 9 - 9[/tex]
[tex]x = {x}^{2} - 6x[/tex]
Subtract sides x
[tex]x - x = {x}^{2} - 6x - x[/tex]
[tex] {x}^{2} - 7x = 0[/tex]
[tex]x(x - 7) = 0[/tex]
[tex]x = 0[/tex]
OR
[tex]x - 7 = 0[/tex]
[tex] x = 7[/tex]
_________________________________
[tex]x + 9 = - ( {x}^{2} - 6x + 9)[/tex]
[tex]x + 9 = - {x}^{2} + 6x - 9[/tex]
Subtract sides 9
[tex]x + 9 - 9 = - {x}^{2} + 6x - 9 - 9 \\ [/tex]
[tex]x = - {x}^{2} + 6x - 18 [/tex]
Subtract sides x
[tex]x - x = - {x}^{2} + 6x - 18 - x [/tex]
[tex] - {x}^{2} + 5x - 18 = 0[/tex]
Multiply sides by -1
[tex] {x}^{2} - 5x + 18 = 0 [/tex]
[tex]x = No \: \: solution[/tex]
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CHECK the roots :
[tex]x = 0[/tex]
[tex] \sqrt{0 + 9} ≠0 - 3[/tex]
[tex] \sqrt{9} ≠ - 3[/tex]
[tex]3≠ - 3[/tex]
Thus (( x = 0 )) is unacceptable.
+++++++++++++++++++++++++++++++++++++++
[tex]x = 7[/tex]
[tex] \sqrt{7 + 9} = 7 - 3[/tex]
[tex] \sqrt{16} = 4[/tex]
[tex]4 = 4[/tex]
Thus (( x = 7 )) is the only solution for x.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Done...
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Answer these question for brainlist and 5 stars
Answer:
3. Em dash
4. En dash
Step-by-step explanation:
HELP ASAP SOS!!!
QUESTION : write a 4 step proof that triangle ABD is congruent to ABD
Here are a few reasons:
The triangles have the same three sides
The triangles have the same three angles
The triangles could perfect overlap one another
They have corresponding angles.
Not sure if this helped but I hope so!
4х – Зу = 15
x - 2y = 0 solve using substitution please show work
Answer:
(6,3)
Step-by-step explanation:
I'm going to start with the second one.
x - 2y = 0
+2y +2y
x = 0 + 2y which is the same as (x = 2y)
Now plug that in for the x-value in the other equation.
4(2y) - 3y = 15
8y - 3y = 15
5y = 15
Divide both sides by 5
y = 3
Here is where you are going to plug it back into the first one we did.
x - 2(3) = 0
x - 6 = 0
+6 +6
x = 6
So the answer is (6,3)
Hope that helps and have a great day!
There are 10 marbles in a bag 1/5 are red and the others are blue. What is the ratio of red to blue marbles?
Answer:
1:4 ratio
Step-by-step explanation:
The Answer is a 1:4 ratio because 1/5 of 10 is 2 and 4/5 of 10 is 8 so the ratio would look like 2:8. You would then simplify 2:8 to 1:4.
Ratio of red to blue marbles is 1:5
An equation is used to show the relationship between two or more numbers and variables.
10 marbles in a bag 1/5 are red and the others are blue.
number of red marbles = 1/5 * 10 = 2
number of blue marbles = 10 - 2 = 8
Ratio of red to blue marbles is 2:8 = 1:5
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How much time will Alex need to walk to his school, which is 2 1/4 miles away from his house, if he would walk with the speed of
4 1/2 mph
select a pair of numbers that have a sum of 9 and a difference of 1
Answer:
The two numbers with the sum of 9 and difference of 1 is 5 and 4.
Step-by-step explanation:
Answer:
The answer is 4 and 5.
Step-by-step explanation:
4+5 = 9
5-4 = 1
MARK ME BRAINLIEST!!
HELPPPP!!!
The LCM of 50, 120, and 225 is 5.
True or False
False, the LCM of 50, 120 and 225 is 1800.
5 is the GCF of 50 120 and 225, not the LCM.
Hope it helps!
Answer:
The answer is False
Step-by-step explanation:
5 is the smallest number that can fit into all 3 numbers.
What is the slope of the line shown below?
A. -2/3
B.-3/2
C. 3/2
D. 2/3
Answer:
-2/3
Step-by-step explanation:
I need help in solving this problem. I need it to be factored by the GCF. I know the answer is (x-3)(5x-1), but I need the work.
5x^2-16x+3
I also have 2x^2+7x+5 and the answer to it is (2x+5)(x+1), but I also need to work too.
Answer:
Step-by-step explanation:
1. X/5 + 6 <2*
A.X> 20
B.X-20
C.x<-20
D.x<20
Answer:
C. x←-20
Step-by-step explanation:
2-6=-4-4•5=-20Determine,se existir,a inversa da matriz abaixo:
A= (1 2)
(1 3)
Answer:
which principle prevents a brach from abusing its power
Step-by-step explanation:
What is 1/100 of 1.9 ?
Answer:
0.019Step-by-step explanation:
1/100 = 1%
Do 1% of 1.9
and you get =
0.019Hope this helps! <3
Answer:
0.019
Step-by-step explanation:
1/100=0.01
0.01×1.9=0.019
3y-9x=21
standard to slope intercept simplified
Answer:
y=3x+7 I think
hope this helps!
Answer:
[tex]y=3x+7[/tex]
Step-by-step explanation:
[tex]y=mx+b[/tex]
[tex]3y=9x+21[/tex]
[tex]\frac{3y}{3}=\frac{9x}{3} +\frac{21}{3}[/tex]
[tex]y=3x+7[/tex]
Kaitlin runs 6 miles in 50 minutes at the same rate how many miles would she run in 35 minutes
Answer:
4.2 miles
Step-by-step explanation:
6/50=.12
.12*35=4.2 miles
Please help I've been staring at this thing for 30 minutes it says I have to match the segments with its measure I don't understand what goes where :(
Answer:
I believe AC=63, BG=28, GC=38, And AE=70. So really just like how it's listed in order. If you need further Help, please let me know!
Step-by-step explanation:
A rectangle has side lengths of 2x - 1 and x + 1. If the rectangle's area is 90 square inches, what is its perimeter?
Answer:
39
Step-by-step explanation:
x=6.5
2(6.5)-1=12
6.5+1=7.5
12+12+7.5+7.5=39
what is the distance between the points (0,-1) and (8,7)
[tex]Distance=\sqrt{(x_{2}-x_{1})^2(y_{2}-y_{1} )^2} \\\\\sqrt{(8-0)^2(7-(-1) )^2}\\\\\sqrt{8^2+8^2} \\\\\sqrt{64+64}\\\\ \sqrt{128} =8\sqrt{2} \\\\[/tex]
Answer:
11.3
Step-by-step explanation:
11.3
please help! thank you!
Answer:
I believe the answer is c not a hundred percent sure
which polynomial function has zeros when x= -2, 3/4, 5
Answer: f(x)=(x+2)(4x-3)(x-5)
Step-by-step explanation:
Alg2.2.5 practice 2
Polynomial function has zeros when x=[tex]-2, \frac{3}{4} , 5[/tex] is
[tex]4x^3-15x^2-31x+30[/tex]
Given :
polynomial function has zeros when x= -2, 3/4, 5
Lets write the zeros in factor form
If 'a' is a zero , then factor is (x-a)
The given zeros are [tex]-2, \frac{3}{4} , 5[/tex]
lets write all the three zeros in factor form
[tex](x-(-2)) (x-\frac{3}{4})(x-5)\\(x+2)(4x-3)(x-5)[/tex]
Now multiply the parenthesis to get the polynomial
[tex]\left(x+2\right)\left(4x-3\right)\left(x-5\right)\\\left(4x^2+5x-6\right)\left(x-5\right)\\4x^2x+4x^2\left(-5\right)+5xx+5x\left(-5\right)-6x-6\left(-5\right)\\combine \; like \; terms\\4x^3-15x^2-31x+30[/tex]
polynomial function has zeros when x= -2, 3/4, 5 is
[tex]4x^3-15x^2-31x+30[/tex]
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Triangle ADB is congruent to triangle ? Please HELP!!
Answer:
CBD
Step-by-step explanation:
If g(x)=
x+1
and h(x) = 4 – x, what is the value of (9.0) (-3)?
Answer:it’s b
Step-by-step explanation:
On edn
Select whether each value for x will make the inequality below a True or False statement. x + 2 > 5.8
3 True or False
6 True or False
7.1 True or False
5/3 True or False
19/5 True or False
45/7 True or False
Answer:
Pretty Sure It's, B, C, F, H
Step-by-step explanation:
Because, If you put each in decimal form and compare it with 5.8, just find out the bigger number and BOOM, you got ya answer!
Answer:
B C F H
Step-by-step explanation:
hope this helps can i please have brainliest that would be great
The Tucker family had a meal catered for wedding anniversary dinner. Th cost of the dinner was $489 they had a coupon for 10% off and there was a 5% sales tax what was the total cost including the discount and sales tax nearest cent
Answer:415.65
Step-by-step explanation:
Answer:
415.65
Step-by-step explanation:
trust me
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Answer: Explain it better please.
Step-by-step explanation:
the answer is -9, -2.2
(-4,-5) (36,11)
divide
36 / -4
and
11 / -5
=
-9, -2.2
someone please help me ASAP
Answer:
Step-by-step explanation:
1. 9.6x10^4
2. 7.2x10^8
3. 1.19x10^-7
4. 9.48x10^-3
5. 2.04x10^8
On a school trip, a class travels 22 kilometers by train and 9.36 kilometers by bus. How far did the class travel?
Answer:
Just add
Step-by-step explanation:
22 + 9.36 = ?
22 + 9.36 = 31.36
So, they traveled 31.36 kilometers.