Explanation
a sanwich which is most commonly a square, has the side lengths of 5 and 5.
cuting this in half will give you a 45-45-90 triangle
the legs will be measure of x, and the hypotonuse will be x[tex]\sqrt{2}[/tex]
so the hypotonuse is 5[tex]\sqrt{2}[/tex]
The diagonal length of the sandwich after it is cut in half is approximately 6.106 inches.
How to calculate the lengthUsing the Pythagorean theorem, we can calculate the diagonal length as follows:
diagonal² = length² + height²
diagonal² = (5 inches)² + (3.5 inches)²
diagonal² = 37.25 inches²
Taking the square root of both sides, we find:
diagonal = √37.25 inches
Calculating the square root of 37.25, we get:
diagonal ≈ 6.106 inches
Therefore, the diagonal length of the sandwich after it is cut in half is approximately 6.106 inches.
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Need help quick g on cdth
Answer:
B. 16
Step-by-step explanation:
You can find it by subtraction.
for example:
70-54=16
54-38=16
22-6=16
and so on
A number n times 33, decreased by 135, is 360. A number m times 18, added to 90 is 360. Write and solve an equation for each variable. Then compare the values of n and m.
Answer:
N = 6.8181. and m= 15
Step-by-step explanation:
33n-135=360
33n = 360-135
33n =225
n = 6.8281.
18m+90=360
18m=360-90
18m =270
m= 15
Find he probability of no more than 35 defective CD's in a batch of 80 CD's if the probablility of any one CD being defective is 0.1.
Answer:
0.999999
Step-by-step explanation:
Given that :
Probability of CD being defective, p = 0.1
q = 1 - p = 1 - 0.1 = 0.9
Total number of CD's = number of trials = 80
Probability, that no more than 35 CD's are defective ;
The question satisfied the requirements for a binomial probability problem ;
Recall :
P(x = x) = nCx * p^x * q^(n-x)
Hence,
P(x ≤ 35) = 80C35 * 0.1^35 * 0.9^(45)
Using calculator to save computation time :
P(x ≤ 35) = 0.999999
Margaret bought a video game, her father gave her 0.2 of the money, her aunt gave 0.5 of the money and she saved the rest. She saved $168 so what amt of money did her father give
Answer:
if Im correct it should be $8.40
Step-by-step explanation:
why well if you think of breaking down by say 1/4 of 168 all you do is divide 4 which is the whole amount by 0.2 which is the amount the father gave her so 4/0.2= 20 the you take your whole 168 and divide by 20 which the whole number for 0.2 the your answer should be this 168/20= 8.4 which then i assumed it was $8.40 hopefully that is correct hehe
indentify the explicit function for the sequence in the table
Answer:
Option B
a(n) = 8 + (n-1) • 6
Answered by GAUTHMATH
Find the value of the constant m √150 - √12m + √54 = 0
Answer:
m is √2
Step-by-step explanation:
[tex]{ \tt{ \sqrt{150} - \sqrt{12}m + \sqrt{54} = 0 }} \\ { \tt{ \sqrt{12}m } = \sqrt{150} - \sqrt{54} } \\ { \tt{ (\sqrt{4 \times 3}) m = ( \sqrt{25 \times 6} ) - ( \sqrt{9 \times 6}) }} \\ { \tt{( \sqrt{4 \times 3} )m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3}m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3} m = 2 \sqrt{6} }} \\ { \tt{ \sqrt{3} m = \sqrt{6} }} \\ { \tt{ \sqrt{3} m = ( \sqrt{3} \times \sqrt{2} ) }} \\ { \tt{m = \sqrt{2} }}[/tex]
Full working out for this question please
Answer: B. t = 9.6tan(29°)
Step-by-step explanation:
Based on the fact:
[tex]tan(x)=\frac{opposite}{adjacent}[/tex]
Set x = 29 and solve:
[tex]\\\\tan(29)=\frac{t}{9.6} \\\\t=9.6*tan(29)[/tex]
i need help i don’t know the answer
Answer:
(3x - 4) (2x + 15)
Step-by-step explanation:
6x² + 37x - 60
Using "splitting the middle term" method,
we get;
6x² + 45x - 8x - 60
= 3x (2x + 15) - 4 (2x + 15)
= (3x -4) (2x + 15)
Can someone help me out
You and your best friend are both on the swim team. You want to beat your friend at the next swim meet so you decide to swim 15 minutes longer than she does one day at practice. Write an equation for the number of minutes you swim, y, when your friend swims x number of minutes. You swim 55 minutes. How many minutes did your friend swim?
Answer:
y=x+15
Friend swims 40 minutes
Step-by-step explanation:
We re told that you want to swim 15 minutes longer than your friend. In word problems, longer or more always means addition. This means we will add 15 minutes to your friend's swim time (x) so we can figure out how long you swam (y).
This gives us the equation: y=x+15
Part two:
We know that you swam 55 minutes. This means y=55.
55=y=x+15
55=x+15
Now we want to get x alone, or isolate it. We can do this by subtracting 15 from both sides.
55-15=x+15-15
15-15= 0 and 55-15= 40
40=x
Thus your friend swam 40 minutes
(Remember that whatever you do to one side of the equation, you have to do to the other. If you add 2 to the left hand side, you have to add 2 to the right hand side. If you, like we did above, subtract 15 from the right, you have to subtract 15 from the left too)
Draw the graphs of the pair of linear equations : x + 2y = 5 and 2x - 3y = -4 Also find the points where the lines meet the x - axis .
Answer:
(1, 2)
Step-by-step explanation:
Given the equation of the lines x + 2y = 5 and 2x - 3y = -4
First we need to make x the subject of the formulas
For x+2y = 5
x = 5 - 2y ... 1
For 2x - 3y = -4
2x = -4+3y
x = (-4+3y)/2 ... 2
Equate 1 and 2
5 - 2y = (-4+3y)/2
2(5-2y) = -4+3y
10 - 4y = -4+3y
-4 -3y = -4-10
-7y = -14
y = 14/7
y = 2
Substitute y = 2 into 1
x = 5 = 2y
x = 5 - 2(2)
x = 5 - 4
x = 1
Hence the point where the lines meet will be at (1, 2)
In an arithmetic sequence, the first term is 5 and the third term is -5. What is the 20th term?
Answer:
-115
Step-by-step explanation:
Thus with the sequence /question numbers are reducing by 5 .
Solve 3x^2+19x +6 please help
Answer:
(3x + 1)(x + 6)
3x^2 + 19x + 6
3x^2 + 18x + x + 6
3x^2 + 18x + x + 6
3x(x + 6) + x + 6
3x(x + 6) + x + 6
(3x + 1)(x + 6)
Haven't done this in a pretty long time so I might be wrong
Find the missing segment in the image below
Answer:
10/2=15/?
Step-by-step explanation:
I can help you to your all question but it need time. I have to write short.
?=3
Which of the following is a factor of 6x^3 + 6?
Answer:
x + 1
Step-by-step explanation:
Step-by-step explanation:6x^3 + 6 = 6 ^ 3+ 1 = 6(x+1) (x^2 - x + 1)
[tex] \frac{1}{3} + \frac{7}{15} [/tex]
Answer:
Step-by-step explanation:
[tex]\frac{5}{15} + \frac{7}{15y} = \frac{12}{15} = \frac{4}{5}[/tex]
Describe the location of point (-3, -2, 3) in three-dimensional coordinate space.
Answer:
The usual way to draw a 3-D grid can be seen below.
The positive z-axis points upwards
The positive y-axis points to the right
The positive x-axis points towards you, or to the front.
And the notation for a point in 3-D is (x, y, z)
In this case, our point is (-3, -2, 3)
Then the location of the point can be described as:
So the x-value is -3, which means that the point is 3 units behind the origin.
The y-value is -2, which means that the point is 2 units at the left of the origin
The z-value is 3, which means that the point is 3 units above the origin.
ASAP!! can i get some help on this question please, and can i get a step by step explanation, thank you.
Answer:
2xy^2
Step-by-step explanation:
8/4=2
x^3/x^2=x
y^5/y^3=y^2
Answer:
2xy^2
Step-by-step explanation:
First, 8/4 is 2.
2x^3y^5 / 4x^2y^3
Then, we can bring the x^2 up. It becomes the -x^2. Combined with the x^3, we have x. Finally, we can bring the y^3 up, where it becomes -y^3. Combined with the y^5, we get y^2.
Our final answer is 2xy^2.
Which numbers are solutions to the inequality
-3x-3 is less than or equal to 6? Check all of the boxes that apply.
0-5
0-4
00
O2
04
Step-by-step explanation:
-3x - 3 <= 6
-3x <= 9
x >= -3
your answer options are not clear to me.
so, please pick the one corresponding to all x >= -3.
for any value of x greater or equal to -3 that inequality is true.
The solution of inequality is,
⇒ x ≥ - 3
We have to given that,
An inequality to solve,
⇒ - 3x - 3 ≤ 6
Now, We can simplify the inequality as,
⇒ - 3x - 3 ≤ 6
Add 3 both side,
⇒ - 3x ≤ 6 + 3
⇒ - 3x ≤ 9
Divide by 3;
⇒ - x ≤ 9/3
⇒ - x ≤ 3
⇒ x ≥ - 3
Therefore, The solution of inequality is,
⇒ x ≥ - 3
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The 12th term of the arithmetic sequence is 10.5. The 18th term of this sequence is 13.5. Find the common difference and the first term.
Answer:
Common difference = 0.5
First term = 6.
Step-by-step explanation:
the 12th term a12 = a1 + d(12-1) where a1 = first term and d = the common difference.
So a1 + 11d = 10.5 ....(A) Similarly:
a1 + 17d = 13.5....(B)
Subtracting equations:
(B) - (A) :-
6d = 13.5 - 10.5 = 3
d = 3/6 = 0.5
From equation (A):
a1 + 11(0.5) = 10.5
a1 = 10.5 -5.5 = 5.
A man invested a certain amount of money in a bank at a simple interest rate of 5percent per annum. At the end of the year, his total amount un the bank was GHC 840,000.00. How much sid he invest in the bank.
Answer: He invested 8,00,000.
Step-by-step explanation:
R = 5%
A = 840,000
T = 1 year
so
so
I = A-P
so
I = PTR/100
or, A-P = (p*1*5)/100
or, 840,000-P = 5p/100
or, 8,40,00,000-100P = 5p
or, 8,40,00,000 = 105P
so, p = 8,40,8,40,00,000
so, P = 8,00,000
.
8. Tianna and Liam charge for tutoring.
Tianna's charges a base fee of $40, and $10 per hour of tutoring.
Liam charges $20 per hour of tutoring.
a. State an algebraic model for each tutor to represent the relationship between the total charge and
time. Use C to represent total charge ($) and t for time (hours).
.
How to do this???????
Answer:
x=14
Step-by-step explanation:
Form an equation; since the two sides are the same length set them equal to each other. 2x-9=x+5 the solve
2x=x+14
x=14
then you can plug it back in to check if you want
2(14)-9 = 19
14+5 = 19
Answer:
14
Step-by-step explanation:
2x-9=x+5 (being isosceles triange)
2x-x=5+9
x=14
hope u understood
3
Select the correct answer.
Which statement best describes the solution to this system of equations?
3x + y= 17
x+2y= 49
OA.
It has no solution.
B.
It has infinite solutions.
O c.
It has a single solution: x = 15, y= 17.
OD
It has a single solution: x= -3, y = 26.
Answer:
X= –3, y=26
Step-by-step explanation:
3X+Y=17====> –2(3X+Y)=–34===> –6X–2Y=–34
X+2Y=49
Aight so let's head to the sum
–5X=15===> X=–3
–3+2Y=49===> 2Y=52===> Y=26
I’ve been working on this all day please help me solve it
Answer:
a and b) 256
c) 5
d) 400
e) 10
Step-by-step explanation:
160(2) - 16(2)² = 320 - 64 = 256
h(2) = 256
find zeros
0 = -16x²-160x
0 = -16x(x-10)
-16x=0 x = 0
0 = x-10 x = 10
Δx₁,x₂ = 10/2 = 5 max height is at x = 5
find max height using x-value:
-16(5)²+160(5) = -80 + 480 = 400
for e) use second root (x = 10)
Fermat fc won 45% of the 60 games they played last season. How many games did fermat fc win last season
Answer:
Fermat FC won 27 games.
Step-by-step explanation:
Convert percentage to fraction
45% --> 45/100
Multiply the fraction by the dividend
45/100 x 60 = 27
Which will result in a difference of squares?
a
(negative 7 x + 4)(negative 7 x + 4)
b
(negative 7 x + 4)(7 x minus 4)
c
(negative 7 x + 4)(negative 7 x minus 4)
d
(negative 7 x + 4)(4 minus 7 x)
Answer:
C
Step-by-step explanation:
The correct answer is C, love from Gauthmath
Answer:
the correct answer is option C
Step-by-step explanation:
(negative 7 x + 4)(negative 7 x minus 4)
Full working out for this question please.
Answer:
B. 3.2
Step-by-step explanation:
5 companies have 0 computers.
10 companies have 1 computer.
10 companies have 2 computers.
30 companies have 3 computers.
25 companies have 4 computers.
20 companies have 5 computers.
To find mean:
0 x 5 = 0
10 x 1 = 10
10 x 2 = 20
30 x 3 = 90
25 x 4 = 100
20 x 5 = 100
100 + 100 + 90 + 20 + 10 + 0 = 320
20 + 25 + 30 + 10 + 10 + 5 = 100
100 companies were surveyed.
100 companies use 320 computers in total.
320 / 100 = 3.2
What is the answer to this question i really need it asap, thank you.
Answer:
sorry I could not help you but I wish you luck
3.
The table shows the estimated number of deer living in a forest over a five-year period. Are the data best represented by a linear, exponential, or quadratic model? Write an equation to model the data.
A. quadratic; y = 91x2 + 0.77
B. exponential; y = 91 • 0.77x
C. linear; y = 0.77x + 91
D. quadratic; y = 0.77x2 + 91
Answer:
B. exponential; y = 91 • 0.77x
Step-by-step explanation:
I just substituted the x on all of them and only one got the correct y which is B.
...............................................................................................................................................
The Answer is B.
y=91*0.77^x
...............................................................................................................................................
Answer:
B. exponential; y = 91 • 0.77x
Step-by-step explanation:
Just is
