Answer:
d) 24.2 cm²
Area of equilateral triangle A = 24.22 cm²
Step-by-step explanation:
Step(i):-
Perimeter of equilateral triangle = 3 a
Given Perimeter of equilateral triangle = 22.45 cm
now 3 a = 22.45
Dividing '3' on both sides,we get
a = 7.48 cm
Step(ii):-
Area of equilateral triangle
[tex]A = \frac{\sqrt{3} a^{2} }{4}[/tex]
[tex]A = \frac{\sqrt{3} (7.48)^{2} }{4}[/tex]
A = 24.22 cm²
Conclusion:-
Area of equilateral triangle A = 24.22 cm²
Answer:
The answer is 24.2
Step-by-step explanation:
on edg. 2020
11 pens weigh 53.43 grams how many grams will 2 pens weigh
Answer:
9.72
Step-by-step explanation:
53.43/11 = 4.86
4.86*1 = 9.72
Answer:
2 pens will weigh about 9.7 grams.
Step-by-step explanation:
1. First, you divide 53.43 by 11 which gives you 4.85 grams (I used the first 2 digits.)
2. Since you know that 1 pen weighs about 4.85 grams, you multiply 4.85 by 2 to find the amount of grams for 2 pens. The answer is 9.7 grams.
Look at this information.
[tex]x \leqslant 0[/tex]
1)Give an example of what the value of x could be.
2) Give a different example of what the value of x could be.
Answer:
1) 0
2) -1
Step-by-step explanation:
x ≤ 0, that means x is equal and less than 0 . so the numbers will start from 0,-1, -2 and so on
please answer all 3 percentages questions below
Answer:
a). 16% of £50
= 16/100 ×50
= 8
= £8
b). 44% of 781g
= 44/100 × 781
= 343.64
= 343.64g
c). 92% of 1050km
= 92/100 × 1050
= 996
= 996km
Hope this helps.
Which system of inequalities is shown in the graph
please see the attached picture for full solution..
Hope it helps..
Good luck on your assignment..
Can I please get help with this?
m<TSU=85°
please see the attached picture for full solution
hope it helps..
Good luck on your assignment...
Need help ASAP, thanks
Answer:
1364
Step-by-step explanation:
use the calculator
Adult tickets to a concert sold at $8, while student tickets cost $5.
If 70 tickets were sold for a total of $440, how many adult tickets were sold?
40 tickets
30 tickets
55 tickets
15 tickets
The number of adult tickets sold was 30 tickets
The first step is to write out the parameters given in the question;
Adult ticket sold at the concert is at the price of $8
Student tickets sold cost $5
A total of 70 tickets were sold at $440
Therefore the number of adult tickets sold can be calculated as follows;
= 8(5)
= 40
70-40
= 30
Hence the number of adult tickets sold is 30 tickets
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Amrita thinks of a number. She doubles it, adds 9 , divides her answer by 3 and finally subtracts 1 . She obtains the same number she originally thought of. What was Amrita's number?
Answer:
Amrita's number is 6
Step-by-step explanation:
x Double the unknown number
2x Add 9
2x + 9 Divide the answer by 3
2/3x + 3 Subtract 1
2/3x + 2 Set this equal to the original number
2/3x + 2 = x
-2/3x -2/3x Subtract 2/3x from both sides
2 = 1/3x Multiply both sides by 3
6 = x
Amrita's number was 6.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number = x
We can write an expression from the given statement.
{ (2x + 9) ÷ 3 } - 1 = x
Solve for x.
{ (2x + 9) ÷ 3 } - 1 = x
(2x + 9)/3 - 1 = x
2x + 9 - 3 = 3x
Add 3 on both sides.
2x + 9 = 3x + 3
Subtract 9 on both sides.
2x = 3x + 3 - 9
2x = 3x - 6
6 = 3x - 2x
x = 6
We can cross-check.
{(2 x 6 + 9) ÷ 3} - 1 = 6
{(12 + 9) ÷ 3} - 1 = 6
7 - 1 = 6
6 = 6
Thus,
The number was 6.
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Calculate the surface area of a solid box in the shape of a cube with side length 10cm
Answer:
600 cm
Step-by-step explanation:
Surface Area of a box: SA=2lw+2lh+2hw
Since a box has equal side lengths, l = 10, w = 10, and h = 10.
SA = 2(10)(10) + 2(10)(10) + 2(10)(10)
SA = 600cm
Graph the equation.
y = 1/3 (x + 3)(x – 3)
Answer:
Step-by-step explanation:
screen shot attached
11. The formula for finding a number that's the square root of the sum of another number n and 6 is
A. x = √n + 6.
B. x = √n + 6.
C. x = √n + √6.
D. x = √n6.
Answer:
x = [tex]\sqrt{x+6}[/tex]
Step-by-step explanation:
The question states that it is the square root of the sum of both n and 6. That means n and 6 are added first before square rooted. Between B and C, choose the answer that has the parenthesis around x and 6, like (x + 6).
Which set of numbers can represent the side lengths in centimeters of a right triangle?
8.12.15
10 24 26
12. 20, 25
0 15 18.20
Answer:
8.12.15
Step-by-step explanation:
mark brainliest plz
A building is being constructed. When completed, it will be 596 meters tall. It currently stands at 77% of this height. Which is the best estimate for the current height of the building? 350 meters 400 meters 450 meters 480 meters
Answer:
450
Step-by-step explanation:
Since we are estimating, we can round 596 to 600, and 77 to 75
So, we need to find 75%, or 3/4 of 600
600 * 3/4 = 150 * 3 = 450
Answer:
450 meters
Step-by-step explanation:
In the figure below, AB: BC is 3 : 1 and AC = 48. The length of AB is:
Can someone help me with this i included a picture
Answer:
36
Step-by-step explanation:
Here, we shall be splitting the total length using the ratio given.
The total ratio is 3 + 1 = 4
Since AB is the bigger length, the ratio 3 belongs to it.
Thus; 3/4 * 48 is the length of AB
= 3/4 * 48 = 3 * 12 = 36
What is the length of BC in the right below?
Answer:
B. 17
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
We have a and b, so:
8² + 15² = c²
c = √(8² + 15²)
c = 17
And we have our final answer!
Answer:
To find the length of BC we use Pythagoras theorem.
BC² = AB² + AC²
AB = 8 AC = 15
BC² = 8² + 15²
BC = √64 + 225
BC = √ 289
BC = 17
BC is 17
Hope this helps.
Which value in scientific notation is about 9,802,733?
A. 9 x 105
B.
9 x 106
C.
9 x 107
D.
9 x 108
Answer:
B
Step-by-step explanation:
One million has 6 zeros.
9 x 10^5 = 900, 000
9 × 10^6 = 9, 000, 000
9 x 10^7 = 90, 000, 000
9 x 10^8 = 900, 000, 000
The correct answer is 9 × 10^6
Answer:
Option B
Step-by-step explanation:
=> 9,802,733
The decimal point will come after the first non zero digits and since six digits come after it , So the exponent/power/indices will be 6
So, it becomes:
=> [tex]9 * 10^6[/tex]
Find the equation of the line. Use exact numbers. y=___x+___
Answer: y = -3/2x + 3
Step-by-step explanation:
The slope is -3/2 (down 3, right 2)
The slope goes before x in graph functions so it’s -3/2x
The line goes through 3 on the y-axis (vertical line), so that’s where + 3 comes in.
y = -3/2x + 3
14 less than 'n' is no less than -112 (Enter your answer using interval notation)
Answer:
bruh
14 less than n is not less than -112
this is ambiguous.
do you mean 14<n≥-112 or n-14≥-112
what is equivalent to
Answer : The expression which is equivalent to [tex]\sqrt[4]{9}^{\frac{1}{2}x}[/tex] is [tex]9^{(\frac{1}{8}x)}[/tex].
Step-by-step explanation :
The given expression is:
[tex]\sqrt[4]{9}^{\frac{1}{2}x}[/tex]
As we know that:
[tex]\sqrt[4]{x} =x^{\frac{1}{4}}[/tex]
So, by solving the above expression, we get:
[tex]\Rightarrow 9^{(\frac{1}{4}\times \frac{1}{2}x)}[/tex]
By multiplying the power of 9, we get the following expression.
[tex]\Rightarrow 9^{(\frac{1}{8}x)}[/tex]
Hence, the expression which is equivalent to [tex]\sqrt[4]{9}^{\frac{1}{2}x}[/tex] is [tex]9^{(\frac{1}{8}x)}[/tex].
A rectangle has a length 2 cm larger than its width.
(a) If the perimeter of the rectangle is 14 cm, what are the dimensions of the rectangle?
Answer:
The width is 5/2 = 2.5 cm
The length is 9/2 = 4.5cm
Step-by-step explanation:
The length is 2 longer than the width
l = w+2
The perimeter is 14
P =2 ( l+w)
14 = 2 (l+w)
Replace l with w+2
14 = 2 ( w+2+w)
14 =2 (2w+2)
Divide each side by 2
14/2 = 2/2(2w+2)
7 = 2w+2
Subtract 2
7-2 = 2w+2-2
5 = 2w
Divide by 2
5/2 = w
The length is w+2
5/2+2
5/2+4/2 = 9/2
The width is 5/2 = 2.5
The length is 9/2 = 4.5
A reaction occurs when solid X is placed into solution Y. As a result, the temperature of the new solution increases by 3°C. The
temperature rises another 2°C when more of solid X is added to the solution. What does this indicate about the effect of
adding more solid?
It increased the number of molecular collisions.
It decreased the number of molecular collisions,
It decreased the space between the molecules and lowered the reaction rate.
It increased the space between the molecules and increased the reaction rate.
Answer:
A. It increased the number of molecular collisions.
Can someone help me please
Answer:
First 10% of 360 = 36
Next 5% of 360 = 18
Final 2.5% of 360 = 9
After adding 17.5% of 360 = 63
Hope this helps.
Work out the value of x please
Answer:
X=67.5
Step-by-step explanation:
360-90=270
Then I do
270/4=67.5 to find the answer of each X
(4 is how many X is in the 270 degree)
What pair of factors of −42 has a sum of 1? PLEASE HELP
Answer:
-6 and 7
Step-by-step explanation:
-6 and 7 multiply to be -42.
When you add the two values: -6+7=1
Their sum is 1!
Hope this helps
Answer:
2, -1
Step-by-step explanation:
The 16 factors of -42 are
1, 2, 3, 6, 7, 14, 21, 42
-1, -2, -3, -6, -7, -14, -21, -42
The pair of factors that have a sum of 1 is
2, -1
2 + (-1)
=1
3, -2 also
7, -6 also.
V=1/3Πr^2(2r+h)
PLEASE HELP!!!!!!!
Make h the subject of the formula
Need help ASAP...
PLEASE
Answer:
h= [tex]\frac{−2.094395r3+v}{1.047198r2}[/tex]
Step-by-step explanation:
v=( [tex]\frac{1}{3}[/tex] (3.141593))(r2)(2r+h)
Step 1: Flip the equation.
1.047198hr2+2.094395r3=v
Step 2: Add -2.094395r^3 to both sides.
1.047198hr2=−2.094395r3+v
Step 3: Divide both sides by 1.047198r^2.
h= [tex]\frac{−2.094395r3+v}{1.047198r2}[/tex]
Answer:
[tex]h = \frac{3v - 2\pi \: r{ }^{3} }{\pi \: r {}^{2} } [/tex]
Step-by-step explanation:
Step 1 add -2/3Πr^3 to both sides
v + -2/3Πr^3 = 1/3hpr^2 + 2/3Πr^3 + -2/3Πr^3
Step 2 divide both sides by (Πr^2)/3
(v + -2/3Πr^3)/(Πr^2)/3 = (1/3hΠr^2)/(Πr^2)/3
(3v - 2Πr^3)/Πr^2 = h
hope this helps....
find the sum 12x^2+3x+6
Answer:
[tex]3(8x ^{2} + x + 2)[/tex]
factor out 3 polynomial 8xsqurd +x+2 not factored as it doesn't have any rational roots
Answer:
This cannot be simplified any further.
Step-by-step explanation:
These are the times for 200 people to get to work. A 10% sample, stratified by time, is taken. Complete the table.
Answer:
look at the atachment below! :)
Step-by-step explanation:
The entries that complete the table are 1, 2, 8, 6 and 3
How to complete the table?To do this, we multiply the number of people by the proportion of sample i.e. 10%.
The product is then approximated to the nearest unit
So, we have:
7 => 7 * 10% ≈ 1
22 => 22 * 10% ≈ 2
77 => 77 * 10% ≈ 8
63 => 63 * 10% ≈ 6
31 => 31 * 10% ≈ 3
Hence, the entries that complete the table are 1, 2, 8, 6 and 3
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are all integers rational numbers?
Answer:
True
Step-by-step explanation:
Yes! All integers "are" rational numbers. They can be expressed in the form of p/q.
Hope this helps :D
Don't hesitate asking anything regarding this.
Answer:
Yes
Step-by-step explanation:
Rational numbers are numbers that can be written as a fraction.
Integers are 1 2 3 4 5 and even -5 -4 -3 -2 -1, they can all be written as fractions.
Mr. Williams is driving on a highway at an average speed of 50 miles per hour. His destination is 100 miles away. The
equation d - 100 - 50t gives the distance d (in miles) that he has left to travel as a function of the time t (in hours) that he has
been driving. Write and interpret the inverse of this function (2 points per part).
a. Solve the equation for t by
filling in the empty spaces.
d = 100 - 50
Write the equation.
d-
100 = - 50t
Subtract 100 from both sides.
D-100/-50=t
Divide both sides by -50.
D/-50+2=t
Simplify the left side.
b. Use the inverse function to find the time that Mr. Williams has left to travel when he has driven 75 miles.
Answer:
t = -d/50 + 2
0.5 hour
Step-by-step explanation:
Given the equation:
d = 50 - 100t
The inverse function:
A.) solving for t
d = 100 - 50t
d - 100 = - 50t
Divide both sides by - 50
d/-50 - (100/-50) = - 50t/-50
-d/50 - (-2) = t
t = -d/50 + 2
B) using the inverse function:
t = -d/50 + 2
Miles driven (d) = 75, find time (t)
t = - 75/50 + 2
t = - 1.5 + 2
t = 0.5
t is in hours, therefore time left to travel is 0.5 hours or 30 minutes
The quotient of (x5 – 3x3 – 3x2 – 10x + 15) and a polynomial is (x2 – 5). What is the polynomial? x5 – 3x3 – 2x2 – 10x + 10 x7 – 8x5 – 3x4 + 5x3 + 30x2 + 50x – 75 x3 + 2x – 3 x5 – 3x3 – 4x2 – 10x + 20
Answer:
C
Step-by-step explanation:
The quotient of (x^5 – 3x^3 – 3x^2 – 10x + 15) and (x^2 – 5) will be (x^5-3x -3 - 24x/(x²-5)) polynomial.
What are the Quotients?Quotients are the number that is obtained by dividing one number by another number.
The quotient of the given expression (x^5 – 3x^3 – 3x^2 – 10x + 15) and (x^2 – 5) is a polynomial.
(x^5 - 3x³ - 3x² - 10x + 15) / p = x² - 5
p = (x^5 -3x³ - 3x² - 10x + 15)/(x² - 5)
= x^5 -3x - 3 - 24x/(x² - 5)
x^5 3x³ + 15x
x^5 - 3x² - 24x + 15
x^5 - 3x² + 15
0 - 24x + 0
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