Answer:
Dimensions = 4cm, 11cm and 21cm
OR
Dimensions = 4cm, -21cm and -11cm
Step-by-step explanation:
Solving the quadratic equation by using the factorization method;
x² + 12x - 220 = 0
Factors = 22 and -10
x² + 22x - 10x - 220 = 0
x(x + 22) - 10(x + 220) = 0
(x - 10)(x + 22) = 0
Therefore, x = 10 or x = -22
Given the following data;
Length of one side = (x + 1)cm
When x = 10
Length of one side = (10 + 1)cm
Length of one side = 11cm.
When x = -22
Length of one side = (-22 + 1)cm
Length of one side = -21cm
Length of the other side = (x + 11)cm
When x = 10
Length of the other side = (10 + 11)cm
Length of the other side = 21cm
When x = -22
Length of the other side = (-22 + 11)cm
Length of the other side = -11cm
Check;
Volume of a cuboid = L*L*L
Volume of a cuboid = 4 * 11 * 21
Volume of a cuboid = 924cm³
PLEASE HELP
What is the solution to this system of linear equations?
3x-2y=14
5x+y=32
O (3,5)
O (6,2)
O (8,-1)
O (14,-18)
Answer:
(6,2)
Step-by-step explanation:
i used elimination method
Zoe invest $600 in college savings account. The account earns 5.7% interest compounded quarterly. How many years will it take for Zoe's account to reach $7,000?
Answer:
43.407 years
Step-by-step explanation:
Zoe invest $600 in college savings account. The account earns 5.7% interest compounded quarterly. How many years will it take for Zoe's account to reach $7,000?
We are asked to find time t in a compound interest formula
The formula is given as:
t = log(A/P) / n[log(1 + r/n)]
A = Total amount = $7000
P = Principal = $600
n = number of times interest is compounded = Quarterly =4
r = Interest rate = 5.7% = 0.057
Hence,
t = log(7000/600) /4[log (1 + 0.057/4)]
t = 43.407 years
A ball is thrown into the air with a velocity of 102 feet per second
Answer:
and what are you needin to find out
Step-by-step explanation:
Last year, Mr. Smith's biology class averaged 73 on their first test. This year, his new class averaged 87 on the same
test. Based on these results, is it reasonable to conclude that this year's class is more intelligent?
Yes, a grade of 87 is higher than a grade of 73.
Yes, the study was done in an academic setting.
No, the experiment was not double-blind.
No, there was no use of a placebo in the experiment.
No, there may be other differences between the two years besides the grades.
E. No, there may be other differences between the two years besides the grades.
This is because every kid is different and Mr. Smith might have just gotten a better group of kids the second year. This is just one factor of many viable options.
May I have brainliest please? :)
Plz help my grade in math is a D and the quarter ends this week
Answer:
x=7
Step-by-step explanation:
if you look at this diagram as 2 triangles, the little one, and then the big one that the little one is inside of, and realize that they are similar triangles (by AAA standards) you can use a ration to solve the answer. the side length 9 is the length that is similar to side length 21, so you put those in a fraction format (9/21), and side length 3 is similar to side length x so you put those in a fraction (3/x), and then you create a ration with those
9/21=3/x
now you can cross-multiply 21 times three (63) and divide that number by 9 (7) to get your final answer of x=7.
Hope this helps!
what is the slope of points (3,5) and (-1,-7)
Answer:
slope is 3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
After visiting the Titanic, Captain Brain and Mr. Pinky are taking the Alvin submarine back to the surface of the water. They start 2000 meters below the surface of the water, and ascend at 57 meters per hour.
Answer:
35.09hours
Step-by-step explanation:
Since we are not told what to find, we can as well look for the time it took to ascend
Given
Distance below surface of water = 2000m
Speed = 57m/hr
Required
Time
Using the formula;
Speed = Distance/Time
Time = Distance/Speed
Time = 2000/57
Time = 35.09hours
Hence it took 35.09hours to ascend
Luke ate a snack with 91 total calories. If the chips he ate were 41.2 calories,how many calories were in the rest of his snack?
Answer:
49.8 calories were left!!!
Step-by-step explanation: Just subtract 91-41.2!
PLZZZ HELPPP!!!!!!!!!!
Hello!
[tex]\large\boxed{2x + y = 3}[/tex]
Begin by finding the slope that would be perpendicular to the given equation.
A perpendicular line has a slope that is the opposite reciprocal of the original. Therefore:
1/2 --> -2
Find the answer choice that contains a slope of -2 when rewritten in the form y = mx + b:
Choice 1:
x + 2y = 2
Move x to the other side:
2y = -x + 2
Divide both sides by 2:
y = -1/2x + 1. This choice is incorrect.
Choice 2:
x - 2y = -12
Move x to the other side:
-2y = -x - 12
Divide both sides by -2:
y = 1/2x + 6. This choice is incorrect.
Choice 3:
2x + y = 3
Move 2x to the other side:
y = -2x + 3. This contains a slope of -2, which is correct.
Choice 4:
y - 2x = -5
Move -2x to the opposite side:
y = 2x - 5. This contains a slope of positive 2, so it is incorrect.
The correct answer is 2x + y = 3.
Answer:
D. y-2x=-5
Step-by-step explanation:
Given: Quadrilaterals ABCD ~ EFGH , with measure of angle A = 47 degrees, measure of angle B = 39 degrees, and measure of angle C = 112 degrees. Find: Measure of angle F and measure of angle H.
Answer:
The answer is below
Step-by-step explanation:
Two polygons are said to be congruent if they have the same size and shape that is their corresponding angles and sides are equal.
Hence since Quadrilaterals ABCD is congruent to EFGH, then their corresponding angles and sides are equal.
In quadrilateral ABCD:
∠A + ∠B + ∠C + ∠D = 360° (sum of angles in a quadrilateral)
Substituting:
47 + 39 + 112 + ∠D = 360
∠D + 198 = 360
∠D = 360 - 198
∠D = 162°
The image of Quadrilaterals ABCD and EFGH is not given but let us assume that they have the same orientation, hence:
∠A = ∠E = 47°
∠B = ∠F = 39°
∠C = ∠G = 112°
∠D = ∠H = 162°
Find the period of the graph shown below.
Answer:
π/2
Step-by-step explanation:
Find the period of the graph shown below.
Total time to complete one oscillation is called the period.
The total number of oscillations in the graph is 7 oscillations:
Hence;
7 oscillations = 3π + π/2 = 7π/2
To get the period, we want to know thw angle it takes to complete just one oscillation that is;
1 oscillation = x
Divide both equations:
7/1 = (7π/2)/x
7x = 7π/2
14x = 7π
x = 7π/14
x = π/2
Hence the period of the wave is π/2
WILL MARK BRAINLIEST! (Look at the photo) PLEASE HELPPPP
Answer:
Step-by-step explanation:
a.b.c.e
im not sure don't hate me
sin∅=√3-1/2 find approximate value of sec∅(sec∅+tan∅)/1+tan²∅
Answer:
The approximate value of [tex]f(\theta) = \frac{\sec \theta \cdot (\sec \theta+\tan \theta)}{1+\tan^{2}\theta}[/tex] is 1.366.
Step-by-step explanation:
Let [tex]f(\theta) = \frac{\sec \theta \cdot (\sec \theta+\tan \theta)}{1+\tan^{2}\theta}[/tex], we proceed to simplify the formula until a form based exclusively in sines and cosines is found. From Trigonometry, we shall use the following identities:
[tex]\sec \theta = \frac{1}{\cos \theta}[/tex] (1)
[tex]\tan\theta = \frac{\sin\theta}{\cos \theta}[/tex] (2)
[tex]\cos^{2}+\sin^{2} = 1[/tex] (3)
Then, we simplify the given formula:
[tex]f(\theta) = \frac{\left(\frac{1}{\cos \theta} \right)\cdot \left(\frac{1}{\cos \theta}+\frac{\sin \theta}{\cos \theta}\right) }{1+\frac{\sin^{2}\theta}{\cos^{2}\theta} }[/tex]
[tex]f(\theta) = \frac{\left(\frac{1}{\cos^{2} \theta} \right)\cdot (1+\sin \theta)}{\frac{\sin^{2}\theta + \cos^2{\theta}}{\cos^{2}\theta} }[/tex]
[tex]f(\theta) = \frac{\left(\frac{1}{\cos^{2}\theta}\right)\cdot (1+\sin \theta)}{\frac{1}{\cos^{2}\theta} }[/tex]
[tex]f(\theta) = 1+\sin \theta[/tex]
If we know that [tex]\sin \theta =\frac{\sqrt{3}-1}{2}[/tex], then the approximate value of the given function is:
[tex]f(\theta) = 1 +\frac{\sqrt{3}-1}{2}[/tex]
[tex]f(\theta) = \frac{\sqrt{3}+1}{2}[/tex]
[tex]f(\theta) \approx 1.366[/tex]
Help me please 40 points for this math question
Answer: The answer is C
Step-by-step explanation:
M is the midpoint of AN, A has coordinates
(7,-4), and M has coordinates (3,2). Find
the coordinates of N.
Explain??
Is the quotient for 36 ÷ 0.6 greater than or less than 36? Explain your answer
Answer: Greater than
Step-by-step explanation:
36/0.6 = 60
60 is more than 36
PLEASE HELPPPPPP I NEED IT DONE BY 3 OR 4
What are the coordinates of the z- and y-intercepts in the equation 14x+ 8y=-56?
Answer:
Idkasd
Step-by-step explanation:
Keep trying
Answer:
the x-intercept is (-4,0)
the y-intercept is (0,-7)
Divide. Write your answer in fraction form.
(5x+ + 18x+ 15) / (x+2)
Answer:
what? it seems like you just spammed anything from the web O_o
Step-by-step explanation:
In a soccer game the winner gains 3 points, while the loser gains 0 points. If the game is a draw, then the two teams gain 1 point each. A team has played 38 games gaining 80 points. Find the greatest possible number of games that the team lost.
Answer:
10 losses
Step-by-step explanation:
Here, we want to get the greatest possible number of games the team lost
Let the number of games won be x
Number drawn be y
Number lost be z
Mathematically;
x + y + z = 38
Let’s now work with the points
3(x) + 1(y) + z(0) = 80
3x + y = 80
So we have two equations here;
x + y + z = 80
3x + y = 80
The greatest possible number of games lost will minimize both the number of games won and the number of games drawn
We can have the following possible combinations of draws and wins;
26-2
25-5
24-8
23-11
22-14
21-17
21-17 is the highest possible to give a loss of zero
Subtracting each sum from 38, we have the following loses:
10, 8, 6, 4, 2 and 0
This shows the greatest possible number of games lost is 10
The tape diagram represents an equation
Write an equation to represent the image
Answer:
w+1.3=2.7
Step-by-step explanation:
the length of w+ the length of the other piece of tape (1.3) is equal to the length of the other tape which is 2.7
The answer is w+1.3=2.7
> Question 8
Simplify 7d-5+9c-c-3-4d
>
Question 9
Simplify
5h+3-9g+h-g+7
Answer:
Step-by-step explanation:
here you go mate
Question 8
step 1
7d-5+9c-c-3-4d equation
step 2
7d-5+9c-c-3-4d expand equation
7d+-5+9c+-c+-3+-4d
step 3
7d+-5+9c+-c+-3+-4d combine terms
answer
8c+3d-8
Question 9
step 1
5h+3-9g+h-g+7 equation
step 2
5h+3-9g+h-g+7 expand
5h+3+-9g+h+-g+7
step 3
5h+3+-9g+h+-g+7 combine the terms
answer
-10g+6h+10
can i have brainliest if you dont mind?
Jacob earns $12.00 per hour babysitting. and has already earned $54.00. The number of hours, x, for which Jacob babysat can be found using the equation 54.00=12x. How many hours did Jacob babysit?
Jacob babysat for 4.5 hours 12x4=48 +6(.5)= 4.5 hours
According to Greg, perfect cherry pies have a ratio of
240 cherries to
3pies.
How many cherries does Greg need to make
9 perfect cherry pies?
Select the correct answer.
Mateo teaches a continuing education class at the library on Tuesday nights. He estimates that 75% of his students are satisfied or very satisfied with the class.
Last week, he asked a random sample of students to take a survey on their experience in the class. However, the results showed that only 70% indicated that they are satisfied or very satisfied with the class. He decides to randomly survey more of his students. How will Mateo know whether his model is valid or not?
A.
It is valid if the result from all the surveys and the model get closer together.
B.
It is impossible to determine whether the model is valid.
C.
It is valid if the result from all the surveys and the model stay the same.
D.
It is valid if the result from all the surveys and the model get farther apart.
Answer:
A
Step-by-step explanation:
Getting closer together means that both are becoming more accurate.
A valid model is such model whose calculated value approximates to the actual value. If it doesn't approximate to the actual value, it must be close to the actual value.
The model is valid if the results from the survey are close enough, together.
Given that:
[tex]p_1 = 75\%[/tex] -- the actual estimation of satisfied students
[tex]p_2 = 70\%[/tex] -- the second estimation of satisfied students
For a model to be valid, the calculated value must be close to the actual value.
If after Mateo's survey of more students, the result of satisfied or very satisfied students is still close to 75%, then Mateo's model is valid.
If otherwise, then the model is invalid.
Read more at:
https://brainly.com/question/731147
which of the following represents a funcation ?
Answer:
A.
Step-by-step explanation:
B. (-1,1) (-1,-5) ... can't pass vertical line test
C. (-1,7) (-1,1)
D. (3,2) (3,4)
Solve: 3,125 = 5–10 + 3x
Answer:
x = 3130/3
Step-by-step explanation:
3125 -5 +10 = 3X
3130 = 3x
x = 3130/3 or 1043 1/3
a group of 6 people equally shares 12 Liters of juice, how many milliliters of juice does each person recive
Answer: each get 2,000 mil in use
Step-by-step explanation:
−5w−2w+3w=9 whats w
help
Answer: w = -9/4
Step-by-step explanation:
evaluate the expression 9!/6!
A: 54,000
B: 2!
C: 3/2
D: 504
Answer: D) 504
Step-by-step explanation:
9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
6! = 6 x 5 x 4 x 3 x 2 x 1
Using this, we can rewrite the initial expression as:
9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 / 6 x 5 x 4 x 3 x 2 x 1
We can see that 6 x 5 x 4 x 3 x 2 x 1 is in both the numerator and the denominator, so we can cancel it out, leaving us with 9 x 8 x 7 which equals 504.