The answer is:
a) Her reasoning is incorrect, she applied a wrong operation, the way to simplify the expression was using the square root property. If we want to extract a number of a square root, we must square that number first in order not to modify the expression.
b) We have that:
[tex]\sqrt{200}=14.14[/tex]
and rounding to the nearest tenth, we have that:
[tex]\sqrt{200}=14.1[/tex]
Why?To solve the problem, we need to remember the following property of square roots:
[tex]\sqrt{ab}=\sqrt{a}*\sqrt{b}[/tex]
We are given the expression:
[tex]\sqrt{200}[/tex]
We can rewrite it by the following way:
[tex]\sqrt{100*2}[/tex]
Now, applying the square root property we have:
[tex]\sqrt{100*2}=\sqrt{100}*\sqrt{2}=10\sqrt{2}=14.14[/tex]
Therefore,
a) Her reasoning was wrong, she applied a wrong operation, the way to simplify the expression was using the square root property. If we want to extract a number of a square root, we must square that number first in order not to modify the expression.
b) We have that:
[tex]\sqrt{200}=14.14[/tex]
and rounding to the nearest tenth, we have that:
[tex]\sqrt{200}=14.1[/tex]
Have a nice day!
pls help! will give thx and 5star and whatever just plss help
Answer:
18. Scalene
19. Quadrilateral
20. option i)
Step-by-step explanation:
18. A triangle whose all the three sides are different is called a scalene Triangle . Where are whose two sides are equal is called an isosceles triangle and whose all the sides are equal is called an equilateral triangle. Here all the sides are of different measurement hence it is a scalene triangle.
19. A polygon containing
3 sides is a triangle
4 sides is Quadrilateral
5 Sides is a Pentagon
6 sides is a Hexagon
8 Sides is Octagon
Our polygon contains four sides, it is hence a quadrilateral
20.
Option i)
In two congruent figures , the corresponding sides and angles are equal.
corresponding side of s is side measuring 14 ft and that of t is the side measuring 12 ft
Hence s = 14 and t = 12
corresponding angles of u is angle measuring 90° and that of r is the angle measuring 90°
Hence ∠u = 90° and ∠r=90°
Amelia stacks a moving box on top of a larger box. Both boxes have the same width.
What is the combined volume of the boxes?
Answer:
The answer is 476.
Step-by-step explanation:
The bottom box has a volume of 350, (10x7x5). The top box has a volume of 126, (3x7x6). Combined, that equals 476.
the sides of 2 similar hexagons are in a ratio of 1:3. The area of the smaller hexagon is 12in². Find the area of the larger hexagon
Answer:
374.12
Step-by-step explanation:
A=33
2a2=3·3
2·122≈374.12297
To solve this problem, we will use the fact that if two polygons are similar, the ratio of their areas is equal to the square of the ratio of their corresponding sides.
Let's start by identifying the given information:
1. The ratio of the sides of the two similar hexagons is 1:3.
2. The area of the smaller hexagon is 12 square inches.
We are asked to find the area of the larger hexagon.
Now, since the ratio of the sides of the two hexagons is 1:3, the square of this ratio will tell us the ratio of the areas of the two hexagons. So we must square the side ratio to get the area ratio:
Ratio of sides of hexagons = 1 : 3
Ratio of areas of hexagons = (1^2) : (3^2) = 1 : 9
This means that the area of the larger hexagon is 9 times larger than the area of the smaller hexagon. Now we can find the area of the larger hexagon by multiplying the area of the smaller hexagon by 9:
Area of larger hexagon = Area of smaller hexagon * 9
= 12 in² * 9
= 108 in²
Therefore, the area of the larger hexagon is 108 square inches.
What is the area of the obtuse triangle given below?
It's 49 sq. units because of the formula:
Area of triangle = 1/2 base × perpendicular height
Area = 14/2 × 7
Area = 7 × 7
= 49 sq. units
The area of the obtuse triangle is 49 sq. units.
What is the area of the obtuse triangle?Given:
The base of the obtuse triangle is 14 units.The height of the obtuse triangle is 7 units.Find:
The area of the obtuse triangle.Solution:
As we know that the area of an obtuse triangle is equal to 1/2 * base * height.
So, as base and height of the obtuse triangle is given.
Now, we will calculate the area.
Area of the obtuse triangle = 1/2 * base * height
= 1/2 * 14 * 7
= 49 sq. units.
Hence, the area of the obtuse triangle is 49 sq units.
Therefore, Option A is the correct answer.
To learn more about an obtuse triangle, refer to:
https://brainly.com/question/12453859
#SPJ2
Which linear inequality is represented by the graph
Answer:
[tex]y\leq \frac{1}{2} x+2[/tex]
Step-by-step explanation:
Firstly, as seen in the graph, the shaded area is below the graph. This means that [tex]y \leq[/tex]
Next we can look at the slope. It is seen that m=[tex]\frac{1}{2}[/tex]
From these two observations, the only inequality that fits the critera is
[tex]y\leq \frac{1}{2} x+2[/tex]
Answer:
Option A
Step-by-step explanation:
(1) In the given graph a solid line has been given which represent the sign of inequality between two variables.
(2) Moreover this, a should area has been given below the solid line. which represents the sign of "less than" between the variables.
In total between y and x there should be a sign of (≤)
(3) Now this line passes through two points (0,2) and (-4,0) so slope of the line will be = [tex]\frac{y-y'}{x-x'}[/tex]
Therefore, slope =[tex]\frac{2-0}{0+4}=\frac{1}{2}[/tex]
y-intercept of the line has been given as 2
So inequality for this graph will be
y ≤ [tex]\frac{1}{2}[/tex]x + 2
Option A is the answer.
A rectagular, above ground pool is 18 feet long, 9 feet wide, and 54 inches deep. One cubic foot of water weighs about 62.4 pounds. What is the total weight of the water in the pool when it is completely full?
Answer:
45,489.6 pounds!
Step-by-step explanation:
To solve this problem, first we need to find the volume of the pool.
We know that the dimensions of the pool are:
Width = 9ft
Length = 18ft
Height = 54in = 4.5 ft
So the volume of the pool is:
Volume = Width x Length x Height = 9ftx18ftx4.5ft = 729ft^3
We know that one cubic foot of water weights about 62.4 pounds. To fill the pool, we will need 729ft^3 of water.
So the weight of the water is:
Weight = 729ft^3 x 62.4 pounds/ft = 45,489.6 pounds!
A Quadratic equation has exactly one real number solution. Which is the value of its discriminant
Answer:
Discriminant = 0Step-by-step explanation:
A quadratic equation:
ax² + bx + c = 0.
A discriminant:
D = b² - 4ac
If D < 0, then the equation has no real solution.
If D = 0, then the equation has one real solution.
If D > 0, then the equation has two real solutions.
Answer:
the answer is 0 on Edg en uityplsss help will give brainliest
Answer:
C, A, B, D
Hope This Helps! Have A Nice Day!!
Number 9 is scalene
Number 10 is equilateral
Sorry I can’t help you on the other two I see.
Does this make sense?
0.88 is greater because after decimal point the hundreds place is eight in 0.88
It depends. Greater than what?
Not really, the hundredths place won't determine which number is larger, usually the largest place will do, which here is the tenth place.
1/4 = 0.25
0.88 > 0.25 because 0.8 > 0.2.
Would a scatter plot of the side length and perimeter of the side length and area represent a linear relationship?
Yes it would be because the perimeter is the out side and the area.is inside
3. Find the missing angles in the following triangle.
A. 45,90
B. 60, 120
c. 30,60
D. 45, 45
Answer:
a. 45 b. 60 c.30 d.90
Step-by-step explanation:
I help you
The area of a trapezoid is 30 square centimeters. The height is 4 centimeters. The shorter base measures 6 centimeters. What is the measure of the longer base?
Answer:
The other base would be 9 centimeters.
Step-by-step explanation:
This is because the formula for the area of a trapezoid is base+the other base/2 x height. if you have two of the three values and the answer all you have to do is put in numbers for the third value until it equals the area you were given.
10x² – 5x = 0 Solved for x
Answer:
Exact Form:
x = 0, 1/2
Decimal Form:
x =0, 0.5
the vertex of this parabola is at (-3,2). which of the following could be its equation?
Answer:
B
Step-by-step explanation:
Notice that the vertex is 2 units above the x-axis. The equation of this parabola must end in +2 to reflect this fact. Thus, we narrow down our answer choices to B and C.
(x + 3) in choice B is correct, since the vertex is to the left of the y-axis.
Text is 3. illustrations is 2. based on the ratio what is the number of pages of text when there are 22 pages
Answer:
33 pages of text
Step-by-step explanation:
The ratio of the number of pages of text to illustration is given 3:2. This implies that for every 2 pages of illustrations, there are 3 pages of text. Therefore, for 22 pages of illustration we shall have;
(22*3)/2 = 33 pages of text .
Using ratio and proportions this is solved as follows;
[tex]\frac{2}{3}=\frac{22}{x}[/tex]
where x is the corresponding number of pages of text. The next step is to cross multiply and solve for x;
x = (22*3)/2 = 33 as shown above.
if h(x)=4x2-16 were shifted 5 units to the right and 2 down, what would the new equation be?
Answer:h ( x ) = 4 ( x - 5 )² - 18
ANSWER
B.
[tex]H(x) = 4 {(x - 5)}^{2} - 18[/tex]
EXPLANATION
The given equation is
[tex]H(x) = 4 {x}^{2} - 16[/tex]
This function is the same as:
[tex]H(x) = 4 {(x - 0)}^{2} - 16[/tex]
This function has its vertex at:
(0,-16).
This function is shifted 5 units to the right and two units down.
The new equation is:
[tex]H(x) = 4 {(x - 0 - 5)}^{2} - 16 - 2[/tex]
Simplify to get:
[tex]H(x) = 4 {(x - 5)}^{2} - 18[/tex]
The correct choice is B.
Working together, Joy and Steve collected 39 pounds of aluminum cans for recycling. If Joy collected j pounds, which of the following shows the number of pounds collected by Steve?
Answer:
The number of pounds collected by Steve is [tex]39-j[/tex]
Step-by-step explanation:
Let
j----> the number of pounds collected by Joy
s ---> the number of pounds collected by Steve
we know that
[tex]j+s=39[/tex]
Solve for s
That means-----> Isolate the variable s
Subtract j both sides
[tex]s=39-j[/tex]
Donald has xxx twenty-dollar bills and 111 ten-dollar bill.
How much money does Donald have?
The expression representing the total amount of money Donald has is:
[tex]\[ \text{Total money} = 20x + 1110 \][/tex]
To find the total amount of money Donald has, we need to calculate the sum of the value of all the bills.
The value of each twenty-dollar bill is $20, and the value of each ten-dollar bill is $10.
Let's represent the number of twenty-dollar bills as x and the number of ten-dollar bills as 111.
So, the total amount of money Donald has can be expressed as:
[tex]\[ \text{Total money} = \text{Value of twenty-dollar bills} + \text{Value of ten-dollar bills} \]\[ \text{Total money} = 20x + 10(111) \][/tex]
Is 9.59166304663 a rational or irrational number.
it’s a rational number
Answer: Rational
Step-by-step explanation:
Because it is the square root of 92 therefore it is a decimal number, and thus rational.
The ratio of boys to girls in a room is 6:5. If three boys leave the room, the ratio is 1:1. How many girls are in the room?
Answer:
If the current price of $\$30$ is after a $50\%$ reduction, then the Lux basketball shoes must have been $30 \times 2 = \$60$ before. That $\$60$ price was after a $25\%$ reduction. When $25\%$ of the price is removed, the remaining portion is $75\%$, or $3/4$ of the price, which means the original price must have been $\$60 \times 4/3 = \boxed{\$80}$.
Your friend George is 6 feet tall and his shadow is 10 feet long. At the same time, the shadow of the flagpole was 85 feet long. What is the height of a flagpole?
1.4 feet
60 feet
51 feet
141.6 feet
Answer:
51 feet
Step-by-step explanation:
Let
x -----> the height of a flagpole
we know that
Using proportion
[tex]\frac{6}{10}=\frac{x}{85} \\\\x=6*85/10\\\\x=51\ ft[/tex]
help plz asap!!!!!!!!!
Answer:
a. 7(5 + 1/7) = 35 + 1 = 36
b. 5(4 + 7) = 20 + 7
c. 1/7(28 + 84) = 4 + 12 = 16
I hope this helps! :)
What is the volume of the prism?
PLS HELP IM SUPER SICK AND CAN'T FOCUS RN! GIVING BRAINLIEST! Enter your answer in the box as a mixed number in simplest form.
___ cm³
A rectangular prism with the width as five centimeters, the length as three and a half centimeters and the height as four and a half centimeters.
Answer:
78.75 cm³
Step-by-step explanation:
Volume = Length × Height × Width
V = 3.5 × 4.5 × 5
V = 78.75 cm³
A city has a population of 23,000 in the year 2014, 27,600 in the year 2015, 33,120 in the year 2016, and 39,744 in the year 2017. If the pattern continues, what will the population be in the year 2024,
A. 142,410
B. 170,892
C.83,345
Answer:
A. 142,410
Step-by-step explanation:
For this purpose we have to find the pattern in previously given information
The given information is:
23000, 27600, 33120, 39744
The given sequence can be assumed as a geometric sequence
The common ratio is:
r = 27600/23000
r = 1.2
Hence the next term is obtained by multiplying with 1.2
So,
Population in:
2018 = 39744*1.2 = 47692.8
2019 = 47692.8 * 1.2 =57231.36
2020 = 57231.36*1.2 =68677.632
2021 =68677.632 * 1.2 = 82413.1584
2022= 82413.1584 * 1.2 =98895.79
2023= 98895.79 * 1.2 = 118674.948
2024 = 118674.948*1.2 = 142409.9376
Since the number of person/ population should be a whole number so,
The population in 2024 will be 142410
So, Option A is correct ..
Given ABCD, AC=38, and AE=3x+4, find the value of x
ANSWER
D 5
EXPLANATION
The diagonals bisect each other so,
AE=CE
This implies that
3x+4+3x+4=38
6x+8=38
Group similar terms
6x=38-8
6x=30
x=5
Answer: 5
Step-by-step explanation:
kira earned $25,000 last year. the earnings needed for one social security credit last year was $1,200. How many social security credits did kira earn?
Answer: 20
Explanation: You can multiply 1,200 by 20 to get 24,000 which is the highest you can go until you go over 25,000
Answer:
He would get an adding amount to 20
Its simple, just divide 25,000 (his total amount) bc your trying to find how much cards he can buy with his total amount. This would mean 25,000 divided by 1,200 meaning 20. He would have a few more dollars but it would be enough to get a 21'th card. This mean he is stuck with 20 as his amount of cards.
At a pizza restaurant a large cheese pizza cost $8.99 plus $1.25 per topping if Laura paid $13.99 for a large pizza before taxes how many toppings did Laura put on her pizza
Answer:
4 toppings
Step-by-step explanation:
13.99-8.99=5
5÷1.25= 4
Laura put 4 toppings on her pizza.
The answer would be 4 toppings.
First you must subtract $13.99 by $8.99 which gives you $5. Then you divide that by the price of a topping which is $1.25. When you divide you get 4.
Hope this helps
A little help? I've been using a calculator since i'm in 7th grade, but part of the AIR (State Test) for 7th graders is without a calculator. Can someone re-teach me how to do this problem without a calculator?
1.36 divided by 0.08
The answer is 17. I will put the other side in a comment. It took me forever to do this, so someone else has probably answered already.
Four expressions are shown bellow
A. 2(4x + 2)
B. 2(3x + 3)
C. 6x + 6
D. 8x + 4
Which two expressions are equivalent to 2(3x + 2 + x)?
Answer:
A
[tex]2(4x + 2)[/tex]
and
D
[tex]8x + 4[/tex]
Step-by-step explanation:
Because if you simplify the equation theb you get 8x+4 therefore D is equivalent to it. A is also equal to D which make it equivalent to the equation as well.
Answer:
A and D
Explanation:
A. 2 multiply by 4x give 8x and 2 multiply by 2 give 4 so the answer is 8x+4
D. When we expand the bracket, 2 multiply by 3x give 6x and 2 multiply by 2 give 4 and 2 multiply by x give 2x so the answer will be 6x+4+2x and we will gather the like terms so it will be 6x+2x=8x so the final answer is 8x+4
How would I find the square root of 49531.25 without a calculator?
That’s a good question for google haha
well, without a calculator, what you can do is
round each choice to a "metric" value, namely 312.5 use 310, and then you can simply multiply it manually 310*310, which is 96100, well, that's too large, so nope.
don't bother with 323.4 because that's even larger.
likewise, check 239.3 with say 230 * 230, to see if it's close enough.
then check 222.5 with 220*220.