Answer: 0.9
Step-by-step explanation:
Let x be the number
Determine the value of the number
x² = 81
√x² = √81
x = 9
Find the 10% of the number
Final number = rate of percentage × original number
Final number = 10% × 9
Final number = [tex]\boxed{0.9}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Javier is constructing a door for his son's tree house. The dimensions of the rectangular door are 6a^2-a+2 feet and 3a^2+5 feet. He wants to cut out a square from the door to insert a glass panel, as per the diagram below. The glass panel will have a height of a -3 feet.After Javier removes the square for the glass panel, how much of the door will be made from wood?
The area of a figure is the amount of space the figure can occupy. [tex]18a^4 + 10[/tex] of the door will be made from the wood.
Given
[tex]Length = 6a^2 + 2[/tex]
[tex]Width = 3a^2 + 5[/tex]
First, calculate the area of the rectangular door
[tex]Area = Length \times Width[/tex]
[tex]Area =(6a^2 + 2) \times ( 3a^2 + 5)[/tex]
[tex]Area = 18a^4 + 6a^2 + 30a^2 + 10[/tex]
[tex]Area = 18a^4 + 36a^2 + 10[/tex]
Next, calculate the area of the glass panel
The dimension of the glass panel is not given, and the diagram is not attached. So, I will assume the dimension of the square glass panel is [tex]6a[/tex].
So, the area of the glass panel is:
[tex]Area = 6a \times 6a[/tex]
[tex]Area = 36a^2[/tex]
To calculate how much wood that will be needed for the rectangular door, we simply subtract the area of the glass panel from the area of the door
[tex]Wood = 18a^4 + 36a^2 + 10 - 36a^2[/tex]
Collect like terms
[tex]Wood = 18a^4 + 10 + 36a^2 - 36a^2[/tex]
[tex]Wood = 18a^4 + 10[/tex]
Considering the assumed value, [tex]18a^4 + 10[/tex] of the door will be made from the wood.
Learn more about areas at:
https://brainly.com/question/16418397
algebra 2A
1.) You and your friends are going on a road trip up the coast to San Francisco to watch the Dodgers play the Giants. The trip is about 810 miles, round trip. The car you are driving gets 288 miles on a full tank. How many times will you need to fill up your tank to make the round trip?
Answer:
3 times
Step-by-step explanation:
Equation: 810 = 288x
x = 2.8 meaning you need to fill up the tank 3 times
How do we say that the cost of rice and the quantity of rice we purchase are in inverse proportion?
Answer:
Step-by-step explanation:
I don't think they are. It sounds like a direct proportion to me. The more rice you buy, the higher the cost.
Cost = k * quantity.
That would be the most general formula.
One-fourth of a number decreased by 12 is 6. Find the number.
Answer: 1/4n-12=6
1n/4-12=6
n=72
Step-by-step explanation:
Answer:
72
Step-by-step explanation:
let the number be n , then
[tex]\frac{1}{4}[/tex] n - 12 = 6 ( multiply through by 4 to eliminate the fraction )
n - 48 = 24 ( add 48 to both sides )
n = 72
How do you translate "Forty more than triple a number, x." in a variable expression.
Answer:
3x + 40
Step-by-step explanation:
"More" means addition and "Triple" indicates multiplication.
So, 3x + 40 is the answer.
Marcie solved the following inequality, and her work is shown below.
What mistake did Marcie make in solving the inequality? (9th grade Algebra 1)
Answer:
She didn't change the direction of the sign
Step-by-step explanation:
When dividing both sides by a negative number in an inequality, you must change the sign.
-2x - 4 > 8 how much is this
[tex]\\ \sf\longmapsto -2x-4>8[/tex]
[tex]\\ \sf\longmapsto -2(x+4)>8[/tex]
[tex]\\ \sf\longmapsto x+4>\dfrac{8}{-2}[/tex]
[tex]\\ \sf\longmapsto x+4>-4[/tex]
[tex]\\ \sf\longmapsto x>-4-4[/tex]
[tex]\\ \sf\longmapsto x>-8[/tex]
Answer:
x < -6
Step-by-step explanation:
-2x - 4 > 8
Add 4 on both sides
-2x > 12
Divide -2 on both sides
x < -6
Hope this helps!
karen had 25.30 saved in her piggy bank. she found 3 dimes on her way to school. if she puts them in her piggy bank when she gets home, how much will she have saved?
3 x 52 x a = a x 2 x 78
Rewrite each angle in radian measure as a multiple of π.
540°
Rewrite each angle in degree measure.
-4π
Answer:
3π
Step-by-step explanation:
540° = 360° x 1 + 180°
= 2π + π
= 3π
CMIIW
where is the hundredths place in
12.083
?
Answer:
12.08
Step-by-step explanation:
The length of a rectangle is 11cm more than the width. The perimeter is 90cm. Find the length and width of the rectangle.
Answer:
Length=22.5cm, Breadth=11.5cm
Step-by-step explanation:
Let length be l and width be w.
w+22=l
w+w+w+22+w+22=90
4w=90-22-22
=46
w=46 divided by 4
=11.5
l=11.5+11
=22.5
Hence,
Length of rectangle=22.5cm
Breadth of rectangle=11.5cm
100 100
What is the decimal form of
3,5
100
and ? Determine whether each
6
decimal repeats or terminates.
Help me please need answers know and please no links.
What is the range of the function represented by this graph?
Answer:
A. y ≤ 1
Step-by-step explanation:
according to the graph, the coordinates of maximum value is (-3, 1) and besides the graph towards down, so, the range of the function is y ≤ 1
-9+__ =-3 find the missing value
Answer:
6
Step-by-step explanation:
-9+6=-3
help me, please everyone;-;
Step-by-step explanation:
Using the power law of indices:
When two numbers with the same base multiply,add the exponents that is
[tex] {a}^{2} \times {a}^{3} = {a}^{2 + 3} = {a}^{5} [/tex]
Again,when two numbers with the same base divide, subtract the exponents,that is
[tex] {a}^{2} \div {a}^{4 } = {a}^{2 - 4} = {a}^{ - 2} [/tex]
There are way too many examples that is why I have elaborated the two laws for your perusal.
So for instance:
1.
[tex] {2}^{2} \times {2}^{5} = {2}^{7} [/tex]
Answer:
2² × 2⁵ = 2⁷
= 128
4⁴ × 4⁶ = 4¹⁰
= 1048576
6² × 6⁷ = 6⁹
= 10077696
9⁸ × 9⁸ = 9¹⁷
= 1.6677182e+16
Do try the rest out yourself!!! You can do it!!!
Can someone please explain how to find the difference -7 - (-8)
Answer:
1
Step-by-step explanation:
In the equation -7 - (-8), there are two 'minus' signs; we can convert two minus signs into a plus sign according to the 'minus minus equals plus' rule, that would make the equation (-7) + 8 for which the answer is +1.
Answer:
1
Step-by-step explanation:
-7-(-8)
First you should solve the brackets.Remeber (-) minus into (-) equal (+)therefore;
-7-(-8)= -7+8
when there is a minus and a plus you should minus the two numbers and put the largest value sign.therefore;
-7+8= 1
Hope you understand.If you have any problem just ask me I will solve it.
Please help...
ITS URGENT!!!!!!!!!!!!!!!!
Answer:
3.2 × 10⁻²
Step-by-step explanation:
→ First multiply the whole numbers
8 × 4 = 32
→ Now add the powers
32 × 10⁻³
→ Convert into standard form
3.2 × 10⁻²
what’s the solution of 4= -2(x-3)
Step-by-step explanation:
Simplifying 4 + -2(x + -3) = 24 Reorder the terms: 4 + -2(-3 + x) = 24 4 + (-3 * -2 + x * -2) = 24 4 + (6 + -2x) = 24 Combine like terms: 4 + 6 = 10 10 + -2x = 24 Solving 10 + -2x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -2x = 24 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 24 + -10 -2x = 24 + -10 Combine like terms: 24 + -10 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
Nancy’s grandma needs 5/8 of a yard of lace for each doll hat she makes. How many doll hats can she make with 10 yards of lace?
Answer:
16
Step-by-step explanation:
5/8= 0.625
10/0.625= 16
4.7x2 + 9x = 0
We’re using the quadratic formulas and there is no c in the question. Do you do it and just not put the c in the equation? Or is there another way?
Hey there! I'm happy to help!
In this case c is equal to 0. There is always a, b, and c, but they might be invisible (for example if a is 1 or b or c are 0).
Then you can choose whichever method you like to factor these (completing the square, quadratic formula, factoring, etc.)
The zeros should be 0 and a number that is about -1.9.
Have a wonderful day and keep on learning! :D
Plz Help me!
Question is shown in the image
Answer:
Here,
X=(1,4,7,9)
Y=(2,4,5,9)
Now,
i=(1,2,4,5,7,9)
ii=((4,9)
iii=(1,2,4,5,7,9)
iv=(4,9)
plz help me its due in 10 min 37 points
Answer:
1. Reason: Given
2. segment PQ is similar to segment PS
3. Reason: Same segment
4. Reason: Side-side-side theorem.
Step-by-step explanation:
Answer:
3 PR=PR
Step-by-step explanation:
show TRI PQR CONGRUENT TRI PSR
QR=SR(GIVEN)
PQ=PS(GIVEN)
PR=PR(COMMON SIDE)
SO BOTH CONGRUENT
Okay so like for integers I use a number line to help me like negative on one side and positive on the other but how do I deal like with these problems? And please explain :)
Answer:
Step-by-step explanation:
remember this:-
if +,- comes: change sign to - (eg. 8+(-4)= 8-4=4)
if -,+ comes: change sign to - (eg. 8-(+4)= 8-4=4)
if -,- comes: change sign to + (eg. 8-(-4)=8+4=12)
if +,+ comes: change sign to + (eg. 8+(+4)=8+4=12)
What is the slope of What the slope of (6, -1) over (7, 3)
Answer:
4
Step-by-step explanation:
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 3 - -1)/( 7-6)
= ( 3+1)/( 7-6)
= 4/1
=4
Pls Help!! Alex is making bows for her friends out of a long piece of ribbon. A. Alex needs 9 inches of ribbon to make a bow. If she has a foot of ribbon, what fractional part of this length of ribbon is needed to make a bow? (Note: 1 foot = 12 inches)
Also explain how you found your answer.
Answer:
3/4 of the ribbon is needed to make a bow
Step-by-step explanation:
12 ÷ 4 = 3
so out of that foot of ribbon you use 3/4 of it for the bow
CAN SOMEONE PLEASEEEE HELP/EXPLAIN THIS ASAP !!!
Answer:
5th figure is not symmetrical
comment if doubt
4. Find a pair of irrational numbers whose product is an integer.
Answer:
√2 and √3
Step-by-step explanation:
Answer:
Step-by-step explanation:
√2 and 5√2 are two irrational numbers
√2 * 5√2 = [tex]5*\sqrt{2*2} = 5 * 2 = 10[/tex]
and here 10 is an integer
Which matrix multiplication is possible?
o [o 3]-[1 -4
o
:I::
T:
11:40
30
미
1
4
Answer: D
Step-by-step explanation:
dim A=(a,b), dim B=(c,d), in order to multiply, c=b
1) dim A=(1,2) , dim B=(1,2) but 2≠1
2) dim A=(2,1) , dim B=(2,2) but 1≠2
3) dim A=(2,2) , dim B=(1,2) but 2≠1
4) dim A=(2,1) , dim B=(1,2) 1=1: result (2,2)
What is the horizontal shift for the absolute value function below? Explain how you know using complete sentences.
F(x)=3 | x+6 | +9
Answer:
The horizontal shift is 6 units left (so -6).
Step-by-step explanation:
The horizontal shift is located inside the absolute value bars. While F(x) adds 6 to x, so you may think it's 6 units right, horizontal shifts are backwards as opposed to vertical shifts: we go 6 units left.