Answer: The length is 12 ft.
Step-by-step explanation:
So a room is likely to be in a shape of a rectangle. And to to find the perimeter of a rectangle will use the formula P = 2w + 2l so in this case we know the perimeter and and the width but we need to find the length.
so using the formula we could do this
43 = 2(9.5) + 2l
43 = 19 + 2l subtract 19 from both sides
-19 -19
24 = 2l Divide both sides by 2
l = 12
The length is 12.
Check: 43 = 2(9.5) + 2(12)
43 = 19 + 24
43 = 43 correct so the length is 12.
a solid consists of cylinder surmounted by a right circular cone. The height of the cone is 2h. If the volume of the solid is 3 times the volume of the cone then what is the height of the cylinder. Plsss help fast
Answer:
height of cylinder = 4/3 h
Step-by-step explanation:
The solid has a cylinder surmounted with a cone .Therefore, the volume of the solid is the sum of the cone and the cylinder.
volume of the solid = volume of cylinder + volume of cone
volume of the solid = πr²h + 1/3πr²h
let
height of the cylinder = H
recall
the height of the cone = 2h
volume of the solid = πr²h + 1/3πr²h
3(1/3πr²2h) = πr²H + 1/3πr²2h
2πr²h = πr²H + 2/3 πr²h
πr²(2h) = πr²(H + 2/3 h)
divide both sides by πr²
2h = H + 2/3 h
2h - 2/3h = H
H = 6h - 2h/3
H = 4/3 h
height of cylinder = 4/3 h
what are the solutions of x^2-4x-9=29
Answer: x =(4-√168)/2=2-√ 42 = -4.481
x =(4+√168)/2=2+√ 42 = 8.481
Step-by-step explanation:
Answer:
x = -4.48, 8.48 to the nearest hundredth.
Step-by-step explanation:
x^2 - 4x - 9 = 29
Completing the square:
(x - 2)^2 - 4 - 9 = 29
(x - 2)^2 = 29 + 13 = 42
x - 2 = +/-√42
x = 2 +/-√42
x = 8.48, -4.48 .
5x + 3 = 7x – 1
what is x
Answer:
First lets subtract 3 from both sides. That gives us 5x = 7x-4. Then lets move the -4 to the other side reversing the sign. 5x+4=7x. Now lets subtract 5x from both sides. That will give us 2x = 4. Now all we need to do as a last step is divide by 2. That will give us x = 2. That is how you solve it in a nutshell
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factorize p^2+pq-pqr
Answer:
p(p+q-qr)
Step-by-step explanation:
p^2+pq-pqr
Factor out a p
p(p+q-qr)
Answer:
p(p+q-qr)
Step-by-step explanation:
p^2 +pq-pqr
= p(p+q-qr)
Need Help. Order of operation 1/35 * 1/22 I get a different answer
Answer:
[tex]\frac{1}{770}[/tex]
Step-by-step explanation:
[tex]\frac{1}{35} *\frac{1}{22} =\frac{1}{770}[/tex]
Answer:
1 / 770.
Step-by-step explanation:
1/35 * 1/22
= 1*1 / 35*22
= 1 / 770.
What is the equation of the following line? Be sure to scroll down first to see all answer options.
Answer:
C
Step-by-step explanation:
Since the graph hits 0 at x = 0, your y intercept is 0.
The graph is decreasing which means you have a negative slope.
They gave you a coordinate so use it to find the slope.
[tex]\frac{1-0}{-3-0} = \frac{-1}{3}[/tex]
That's your slope.
C is the correct answer.
y=-1/3x
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An isosceles triangle in which the two equal sides, labeled a, are longer than the base, labeled b.
This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 models this information.
If one of the longer sides is 6.3 centimeters, which equation can be used to find the length of the base?
The side labeled "a" is made the longer side. These are the two congruent sides. So a > b.
We are told that the longer side is 6.3, so a = 6.3, meaning that
2a+b = 15.7
2(6.3)+b = 15.7
12.6+b = 15.7
b = 15.7-12.6
b = 3.1
The triangle has sides of: 6.3, 6.3, 3.1
The perimeter is 6.3+6.3+3.1 = 15.7
Going back to the question "which equation can be used to find the length of the base?", it sounds like either you were given a list of multiple choice answers, or you just fill in the blank. If multiple choice, then try to see which answer matches with what I wrote above. If fill in the blank, then I would just enter either 2(6.3)+b = 15.7 or 12.6+b = 15.7
Answer:
2(6.3)+b = 15.7 or 12.6+b = 15.7
Step-by-step explanation:
Which point represents 2 and one-fourth on the graph?
A number line going from negative 4 to positive 4. Point D is between negative 3 and negative 2. Point B is between negative 2 and negative 1. Point E is between negative 1 and 0. Point C is between 2 and 3. Point A is between 3 and 4.
Point A
Point C
Point D
Point E
Answer:
point c
Step-by-step explanation:hope it helps
Which point represents 2 1/4 on the graph?
B: Point C
I need help with this, please. Any advice would be appreciated.
Answer:
see explanation
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the initial value and d the common difference
Given
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 10 + (n - 1)3 ]
Then by comparison
2a₁ = 10 ( divide both sides by 2 )
a₁ = 4 ← initial value
and d = 3 ← common difference
Thus
[tex]S_{8}[/tex] = [tex]\frac{8}{2}[/tex] [ 10 + (7 × 3) ]
= 4(10 + 21)
= 4 × 31
= 124
Answer:
125
Step-by-step explanation:
What is the product of 8/9 and 2/7
Answer:
16/63
Step-by-step explanation:
8/9 * 2/7
Multiply the numerators
8*2 = 16
Multiply the denominators
9*7 = 63
Put the numerator over the denominator
16/63
The Answer is: 16/63
You just multiply 8/9 & 16/63
Add.
5x^2- 5x+1
2x^2+9x-6
Answer: C. 7x^2+4x-5
Step-by-step explanation:
Add as you would normally. Exponents can look scary but don’t mind them. First add 5x^2 & 2x^2 to get 7x^2. Then do -5x + 9x. An easier way of doing that would be 9x-5x to get 4x. Lastly do 1 -6 to get 5.
21 ≤ 3 + 9x please help me solve the inequality
Answer:
x ≥ 2
Step-by-step explanation:
21 ≤ 3 + 9x
21 - 3 ≤ 9x
18 ≤ 9x
18 ÷ 9 ≤ x
2 ≤ x
x ≥ 2
The solution to the inequality 21 ≤ 3 + 9x by combining like terms and solving for x is, x ≥ 2.
Used the concept of inequality which states that,
A relation by which we can compare two or more mathematical expressions is called an inequality.
Given that,
The inequality is,
21 ≤ 3 + 9x
Now, simplify the inequality by combining like terms and solving for x,
21 ≤ 3 + 9x
Subtract 3 on both sides,
21 - 3 ≤ 9x
18 ≤ 9x
It can be written as,
9x ≥ 18
9x - 18 ≥ 0
Take 9 as common,
9 (x - 2) ≥ 0
x - 2 ≥ 0
Therefore, the solution of expression is,
x ≥ 0
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When you use the distance formula you are calculating the length of the _____ of a right triangle
Answer:
hypotenuse
Step-by-step explanation:
When you use the distance formula you are calculating the length of the hypotenuse of a right triangle.
When using the distance formula, you are making a right triangle whose hypotenuse connects two given points.
Answer: The blank would be hypotenuse if I’m not mistaken!
Element X decays radioactively with a half life of 12 minutes. If there are 760 grams of element X, how long, to the nearest tenth a minute, would it take the element to decay to 15 grams?
Answer:
The time it'd take for the element to have 15 g of mass is approximately 68 min.
Step-by-step explanation:
The radioactive decay of a substance is given by the following formula:
[tex]mass(t) = mass(0)*e^{-\lambda*t}[/tex]
Since the element has a half life of 12 minutes, this means that after this time the mass of the element will be half of it was originally, therefore:
[tex]\frac{mass(0)}{2} = mass(0)*e^{-\lambda*12}[/tex]
[tex]\frac{1}{2} = e^{-\lambda*12}[/tex]
[tex]ln(\frac{1}{2}) = -12*\lambda\\\lambda = -\frac{ln(0.5)}{12} =0.0577623[/tex]
Therefore the mass of the element is given by:
[tex]mass(t) = mass(0)*e^{-0.0577623*t}[/tex]
If the initial mass is 760 g and the final mass is 15 g, we have:
[tex]mass(t) = mass(0)*e^{-0.0577623*t}\\\\15 = 760*e^{-0.0577623*t}\\\\e^{-0.0577623*t} = \frac{15}{760}\\\\ln(e^{-0.0577623*t}) = ln(\frac{15}{760})\\\\-0.0577623*t = ln(\frac{15}{760})\\\\t = \frac{ln(\frac{15}{760})}{-0.0577623}\\\\t = 67.9555[/tex]
The time it'd take for the element to have 15 g of mass is approximately 68 min.
Please answer !!!!!!!! Will mark brainliest !!!!!!!!!!!
No because to be a function, each dot on the graph would need to be located at its own x value. Looking at the graph you see two dots located at x = 5 so it is not a function.
What is the numerical solution to the equation five less than three times a number equals four more than eight times rhetorical number?
Answer:
3n-5=8n+4
Step-by-step explanation:
In the French test she scored 34 out of 50.
In the German test she scored 14 out of 20.
In which test did she do better?
You must show your working.
Answer:
34/50 = 68%
14/20 = 70%
answer: the German test
can i get brainliest?
Answer:34/50 = 68%
14/20 = 70%
Step-by-step explanation:mark me as brainest and vote for me plssss
Lakesha is taking three of her friends to see the latest movie. Each ticket is $5.50, and she is paying for all four tickets. How much money does Lakesha need to bring to pay for all of the tickets? A. $16.50 B. $22.00 C. $49.50 D. $55.00
Answer: $22
Step-by-step explanation:
$5.50 * 4 = 22
Answer:
B. $22.00
Step-by-step explanation:
The expression you need to set up is 5.5 times 4, since she needs to pay 4 tickets and each is $5.50. After you multiply, you should get 22, which is the answer.
James is following this recipe to make flapjacks.
James uses 450 g of sugar.
How many flapjacks is James making?
Recipe: Makes 8 flapjacks
125 ml syrup
90 g sugar
180 g oats
125 g margarine
30 g sultanas
Answer:
40
Step-by-step explanation:
90/8=11.25 (1 flapjack)
11.25x40=450
What’s this problem
Answer:
use FOIL- Firsts Outsides Insides Lasts
Multiply the -4 and -3 as they are the first numbers of each brackets -4x-3=12Next the outsides so -4x6i as they are on the outskirts of each brackets -4x6i= -24iInsides so 3i and -3 as they are in the centre of the two brackets 3ix-3= -9i Lasts so 3i and 6i as they are at the end of each bracket 3ix6i=18i^2 ( i squared)add the answers together - 12+-24i+-9i+18i^2= 12-24i-9i+18i^2Simplify by adding like terms which is -24i and -9i. 12+-33i+18i^2 is the answerJenna is buying 6 new shirts at $18 each. Which of the following is NOT a way to write a calculation for how much money Jenna is spending? pls can someone help me
The calculation 18/6=108 is not the right representation.
What is the BODMAS rule?According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.
Given here: One of the option as 18/6=108
But in the question Jenna buys 6 new shirts at $18
Thus the total cost of the shirts is 18*6=108
But 18/6=3
Thus this expression is not the right calculation.
Hence, The 18/6=108 is not the right representation.
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How many angles does a nonagon have?
Answer:
9
Step-by-step explanation:
There are nine angles in a nonagon.
f function g has the factors (x − 7) and (x + 6), what are the zeros of function g?
A.
-7 and 6
B.
-6 and 7
C.
6 and 7
D.
-7 and -6
Answer:
B
Step-by-step explanation:
2⁄6 + 4⁄8 + 3⁄4 = is what?
Answer:
2/6+4/8+3/4=19/12
(Decimal: 1.583333)
hope i helped
-lvr
Answer:
1 7/12
Step-by-step explanation:
2/6 + 4/8+3/4
Simplify the fractions
1/3 + 1/2 +3/4
The common denominator is 12
1/3*4/4 + 1/2 *6/6+ 3/4*3/3
4/12 + 6/12 +9/12
19/12
12/12 + 7/12
1 7/12
Rahul was given 32 problems for home work. He has worked out . $ of them on Monday and . % of them on Tuesday . Find the number of problems left unsolved.
Answer: **Incomplete question**
Step-by-step explanation: Your question is incomplete, and missing very important details. However I would attempt to use assumed values in place of the omitted ones so that after explaining, it would be pretty much easy to figure out the solution.
If Rahul was given a total of 32 questions and he has worked out for example 25% of them on Monday and then 50% of them on Tuesday, to find the number of problems left, we would need to find the number of questions represented by the percentage indicated.
If he has worked out 25% of them on Monday, then that means he had done the following
Percentage done = 25% (or 25/100 which equals 0.25)
Number of problems solved = 32 * 25%
Number of problems solved = 32 * 0.25
Number of problems solved = 8
Further he solved 50% of them on Tuesday
Percentage done = 50% (or 50/100 which equals 0.50)
Number of problems solved = 32 * 50%
Number of problems solved = 32 * 0.5
Number of problems solved = 16
This means he has now solved a total of
8 + 16 = 24
If therefore he has solved 24 problems, then the number of problems left is derived simply as
Unsolved problems = 32 - 24
Unsolved problems = 8
Please remember that the use of 25% and 50% are simply assumptions in order to make explaining the solution easier. Please insert the correct values of the percentage as appropriate.
For questions 1 - 2, complete the given table of values. Then sketch a graph that shows two complete cycles. 1. Y=- cosx 2. Y = sin x+1
Answer:
See attachment.
Step-by-step explanation:
See attachments.
Read the proof. Given: m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° Prove: △HKJ ~ △LNP Statement Reason 1. m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° 1. given 2. m∠H + m∠J + m∠K = 180° 2. ? 3. 30° + 50° + m∠K = 180° 3. substitution property 4. 80° + m∠K = 180° 4. addition 5. m∠K = 100° 5. subtraction property of equality 6. m∠J = m∠P; m∠K = m∠N 6. substitution 7. ∠J ≅ ∠P; ∠K ≅ ∠N 7. if angles are equal then they are congruent 8. △HKJ ~ △LNP 8. AA similarity theorem Which reason is missing in step 2?
Answer:
[tex]2. m\angle H+m\angle J +m\angle K =180^{\circ}[/tex]
Reason: the sum of all interior angles of any triangle is equal to 180º.
Step-by-step explanation:
1) Organizing
Statement 1. m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° 1. Reason: given
2) Since the sum of all internal angles of any triangle is equal to 180º, just like the formula. N the number of sides of a triangle:
[tex]S_{i}=180^{\circ}(n-2)\rightarrow 180(3-2) \therefore S_{i}=180^{\circ}[/tex]
3) We can also say
[tex]m\angle K=180^{\circ}-(m\angle H+m\angle J)\\m\angle K=180^{\circ}-\left ( 30^{\circ}+50^{\circ} \right )\\m\angle K=100^{\circ}[/tex]
Similarly to the other triangle:
[tex]m\angle L=180^{\circ}-(m\angle N+m\angle P)\\m\angle L=180^{\circ}-\left ( 100^{\circ}+50^{\circ} \right )\\m\angle L=30^{\circ}[/tex]
4) Hence,
[tex]2. m\angle H+m\angle J +m\angle K =180[/tex]
Reason: The sum of interior angles is equal to 180º.
Answer:
B
Step-by-step explanation:
√10·√8 is this equal to the √80?
Answer: yes
Step-by-step explanation:
They are both equal to 4/5
Keep it 1000 someone who knows that they doing 20 points
Answer:
Box 1 is F and Box 2 is -62.1
Answer:
5/9( F -32) = -62.1
Step-by-step explanation:
5/9( F -32) = C
We have the Celsius temperature and want to find the Fahrenheit temperature
5/9( F -32) = -62.1
Given that a = (1), b = (2) and c = (0)
2-122
Find :
1. a + b
2. a - b
3. a-c
4. a + c
5. a + b + c
6. a-b-c
7. c-a
8. b-a
9. b + c
10. C - b
Step-by-step explanation:
1+2=31-2=-11-0=11+0=11+2+0=31-2-0=-10-1=-12-1=12+0=20-2= -2