Answer:
Hi Ivy Sup....
Suppose there is another triangle with same side lengths. Then by SSS congruence criteria both triangles are congruent or exactly equal. Therefore, if Khaleem wanted to draw a triangle where the sides measured 5 cm, 8 cm, and 7 cm, then only one unique triangle Khaleem could draw that fit these dimensions.
Love you!
the scale is 7 millimeters = 1 meter. what is the scale factor?
Answer:
1 meter =1,000 millimeters. So, the scale is:
7 mm:1,000 mm Divide both sides by 7
1 mm:142 6/7 mm - This is the scale that was used
Step-by-step explanation:
A tree was 17 feet tall when it was planted. It grew 8 times that height in 15 years.
How much taller is the tree than when it was planted?
A. 119 feet
B. 136 feet
C. 247 feet
D. 255 feet
Answer:
A. 119 feet
Step-by-step explanation:
the height of tree right now =
17 × 8 = 136 feet
the differences = 136 -17 = 119 feet
Answer:
A. 119
Step-by-step explanation:
In 15 years, the tree grew to a height of 8 x 17 = 136 feet. Since it was planted at a height of 17 feet, the tree grew 136-17=119 feet.
Management at Webster Chemical Company is concerned as to whether caulking tubes are being properly capped. If a significant proportion of the tubes are not being sealed, Webster is placing its customers in a messy situation. Tubes are packaged in large boxes of . Several boxes are inspected, and the following numbers of leaking tubes are found: Sample Tubes Sample Tubes Sample Tubes 1 8 15 2 9 16 3 10 17 4 11 18 5 12 19 6 13 20 7 14 Total Calculate p-chart -sigma control limits to assess whether the capping process is in statistical control.
Answer:
[tex]UCL = 0.078[/tex]
[tex]LCL = 0[/tex]
Step-by-step explanation:
Poorly formatted question (see attachment)
From the attachment, we have:
[tex]n = 135[/tex] --- the sample size
[tex]Samples = 20[/tex] --- The number of samples
[tex]\sum np = 87[/tex] --- Number of leaking tubes
First, we calculate the number of observations
[tex]\sum n = n * Samples[/tex]
[tex]\sum n= 135 * 20[/tex]
[tex]\sum n= 2700[/tex]
Using 3 sigma control limit, we have:
[tex]z = 3[/tex]
Calculate [tex]\bar p[/tex]
[tex]\bar p = \frac{\sum np}{\sum n}[/tex]
So, we have:
[tex]\bar p = \frac{87}{2700}[/tex]
[tex]\bar p = 0.0322[/tex]
Next, calculate the standard deviation
[tex]s_p = \sqrt{\frac{\bar p* (1-\bar p)}{n}}[/tex]
So, we have:
[tex]s_p = \sqrt{\frac{0.0322* (1-0.0322)}{135}}[/tex]
[tex]s_p = \sqrt{\frac{0.03116}{135}}[/tex]
[tex]s_p = \sqrt{0.0002308}[/tex]
[tex]s_p = 0.0152[/tex]
The control limits is then calculated as:
[tex]UCL = \bar p + z * s_p[/tex] --- upper control limit
[tex]LCL = \bar p - z * s_p[/tex] --- lower control limits
So, we have:
[tex]UCL = \bar p + z * s_p[/tex]
[tex]UCL = 0.0322 +3 * 0.0152[/tex]
[tex]UCL = 0.078[/tex]
[tex]LCL = \bar p - z * s_p[/tex]
[tex]LCL = 0.0322 - 3 * 0.0152[/tex]
[tex]LCL = -0.013[/tex]
Since the calculated LCL is less than 0, we simply set it to 0
[tex]LCL = 0[/tex]
So, the p chart control limits are:
[tex]UCL = 0.078[/tex]
[tex]LCL = 0[/tex]
What is the value of y?
Answer:
y= 40
Step-by-step explanation:
The sum of the angle of a triangle is 180
2y+ 50 + y+10 = 180
Combine like terms
3y + 60 =180
Subtract 60 from each side
3y +60-60 = 180-60
3y = 120
Divide by 3
3y/3 = 120/3
y= 40
Answer:
y=40
Step-by-step explanation:
2y+ y+10+50=180
3y+60=180
3y=180-60
3y=12O
y=120/3
y=40
hope it helps:)
i need help :(( please please ease
triangle area ?
Answer:
[tex]\frac{25\sqrt{3}}{2}[/tex]
Step-by-step explanation:
The area of a triangle is given by [tex]A=\frac{1}{2}bh[/tex] where [tex]b[/tex] is the base of the triangle and [tex]h[/tex] is the height of the triangle. In a right triangle, the two legs will represent the base and height, both interchangeable.
In a 30-60-90 triangle, the sides are in the proportion [tex]x:x\sqrt{3}:2x[/tex], where [tex]2x[/tex] is the hypotenuse of the triangle and [tex]x[/tex] is the side opposite to the 30 degree angle. Since the hypotenuse of this triangle is given as 10, the leg opposite to the 30 degree angle is equal to [tex]10\div 2=5[/tex] and the leg adjacent to the 30 degree angle is equal to [tex]5\sqrt{3}[/tex].
Thus, the area of this triangle is equal to:
[tex]A=\frac{1}{2}\cdot 5\cdot 5\sqrt{3}=\boxed{\frac{25\sqrt{3}}{2}}[/tex]
The sample space, S. of a coin being tossed three times is shown below, where H and T denote the
coin landing on heads and tails respectively.
S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
Let X = the number of times the coin comes up heads. What is the probability distribution for the
number of heads occurring in three coin tosses?
0
1
3
1
4
5
8
X
p (X)
X
p(x)
2
1
4
3
1
3
1
4
2
1
3
1
4
1
4
6
2
3
7
2
3
2
3
1
3
0
1
2
3
4
5
6
7
8
X
0
1
2
3
X 1
(x) 1
1
2
3
2
3
1
3
2
13
1
3
1
3
0
P(X)
1
8
3
8
3
8
8
Answer:
P(X1) = 1, P(X2)= 2/3, P(X3)= 2/3, P(X4)= 1/3, P(X5)= 2/3, P(X6)= 1/3, P(X7)= 1/3 and P(X8)= 0
Step-by-step explanation:
PLEASSE HELP ME WILL MARK YOU!
Problem 1
Answer: It is possible to draw a triangle
-------------------------
Explanation:
We use the triangle inequality theorem. Consider a triangle with sides a,b,c
A triangle is only possible if and only if the following three inequalities are all true
a+b > cb+c > aa+c > bBasically, if we can add any two sides to get a sum larger than the third side, then we can form a triangle.
If a = 3, b = 4, and c = 5, then
a+b = 3+4 = 7 which is indeed larger than c = 5 b+c = 4+5 = 9 which is larger than a = 3a+c = 3+5 = 8 which is larger than b = 4All three conditions are met, therefore we have a triangle possible.
=======================================================
Problem 2
Answer: No, a triangle is not possible
-------------------------
Explanation:
For this problem, and the next two problems, we'll use the triangle inequality theorem also.
Notice that a+b = 4+5 = 9 but this is not larger than c = 9
So the condition a+b > c is not true, and therefore we do not have a triangle possible.
=======================================================
Problem 3
Answer: No, a triangle is not possible
-------------------------
Explanation:
Similar to problem 2. A triangle isn't possible because a+b = 5+6 = 11 which is not larger than c = 12.
=======================================================
Problem 4
Answer: It is possible to draw a triangle
-------------------------
Explanation:
A triangle is possible here because
a+b = 3.5+4.5 = 8 which is larger than c = 7b+c = 4.5+7 = 11.5 which is larger than a = 3.5a+c = 3.5+7 = 10.5 which is larger than b = 4.5=======================================================
Problem 5
Answer: a, c, b
-------------------------
Explanation:
Here are two rules we'll use here
The smallest angle is always opposite the smallest sideThe largest angle is always opposite the largest sideThis applies to triangles only.
From the diagram, we can see that the 28 inch side is the longest. Angle 'a' is opposite this, making angle 'a' to be the largest angle.
Then we see that angle b is opposite the smallest side, so angle b is the smallest angle. Angle c is somewhere in between angles 'a' and b. So that's why we get the order a, c, b when sorting the angles from largest to smallest.
Let A be a 3 by 6 , B be a 6 by 7 and C be a 7 by 3 matrix. Determine the size of the following matrices (if they do not exist, type N in both answer boxes):
a. AB: ______ by ________
b. BA: ______ by ________
c. A^TB: _______ by ________
d. BC: __________ by ________
Answer:
a. AB: 3 by 7
b. BA: N by N
c. A^TB: N by N
d. BC: 6 by 3
Step-by-step explanation:
Given
[tex]A =3\ by\ 6[/tex]
[tex]B =6\ by\ 7[/tex]
[tex]C =7\ by\ 3[/tex]
Required
The dimension of the following matrices
As a general rule:
For A * B to be successful, the columns in a must equal the rows in B
Using this rule, we have:
[tex]A_{m*n} * B_{n * p} = AB_{m*p}[/tex]
So:
[tex](a)\ AB[/tex]
[tex]A_{3*6} * B_{6*7} \to AB_{3 * 7}[/tex]
[tex](b)\ BA[/tex]
[tex]B_{6*7} * A_{3*6} \to AB_{N * N}[/tex]
The column numbers of B does not equal the row numbers of A.
Hence, BA does not exist
[tex](c)\ A^TB[/tex]
[tex]A^T[/tex] implies that:
If [tex]A =3\ by\ 6[/tex], then
[tex]A^T = 6\ by\ 3[/tex]
So:
[tex]A^T_{6*3} * B_{6,7} \to A^TB_{N*N}[/tex]
The column numbers of A^T does not equal the row numbers of B.
Hence, [tex]A^TB[/tex] does not exist
[tex](d)\ BC[/tex]
[tex]B_{6*7} * C_{7*3} \to BC_{6,3}[/tex]
PLEASE HELP ASAP !!! WILL MARK BRAINLIEST !!!
Answer:
C
Step-by-step explanation:
Have a nice day
how can i get a cientific form number
A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.
Scientific notation is helpful when dealing with really large numbers with a lot of zeroes because you can express them with smaller numbers, and it looks a lot more simple. It's just a different way to express numbers.
Here's an example : Let's say someone asked me to put the number
650,000,000 into scientific notation.
That would be 6.5 ✕ 10^8
Hope this helps, please mark brainliest if possible. Have a nice day.
Ariel has a plastic ice cream cone in her food playset. The ice cream cone is a half-sphere sitting on top of a cone. What is the
approximate volume of the toy ice cream cone? Use 3.14 for x.
52 Step-by-step explanation:
Help pleaseeeee ASAP
Answer:
9 cm
Step-by-step explanation:
The volume of a square based pyramid is given as :
V = 1/3a²h
Where ; a = base edge ; h = Height
Volume, V = 48 cm³ ; a = 4cm
48 = 1/3 * 4² * h
48 = 1/3 * 16h
48 * 3 = 16h
144 = 16h
h = 144 / 16
h = 9 cm
Height = 9cm
A manufacturer knows that 9% of the products it produces are defective. Find the probability that among 6 randomly selected products, at least one of them is defective.
Answer:1%
Step-by-step explanation:
Ms. Sandy bought a package of pencils. Out of every 10 pencils, 9 are black. If there are 70 pencils in the pack, what fraction of the pencils in the pack are black? What percent of the pencils in the pack are black?
What fraction of the pencils in the pack is black?
A number, one-fourth of that number, and one-third of that number are added. The result is 38. What is the original number?
Answer:
24
Step-by-step explanation:
Let 12x represent the original number.
One fourth of that number can be represented by 3x, and one third of the number can be represented by 4x.
Create an equation that sets this equal to 38, and solve for x:
12x + 3x + 4x = 38
19x = 38
x = 2
The original number is represented by 12x, so plug in 2 as x:
12(2)
= 24
So, the original number is 24.
HELP Will mark brainlist
Answer:
Its B since the decimals are lower than the data.
Elizabeth has $26 left after shopping at the mall. She bought 2 shirts for $22.99 each, a drink for $2.02, and 2 books for $16 each. How much money did she start with?
Step-by-step explanation:
22.99 × 2 + 2.02 + 16 × 2 + 26= $106
help me find the answer
16. Find the value of X (In the picture) (giving points to best answer/brainlest)
Answer:
x = 46°
Step-by-step explanation:
the obtuse triangle is isosceles so the angle adjacent to ∠x is 22°
therefore, ∠x = 180-(90+22+22) = 46
ratios that are equivalent to 7/6
Answer:
14 : 12 , 21 : 18 and 28 : 24 .
Step-by-step explanation:
Answer:
14 : 12 , 21 : 18 and 28 : 24 .
Step-by-step explanation:
Therefore, 14 : 12 , 21 : 18 and 28 : 24
If the trapezoid on the grid below is translated by using the rule (x,y)-> (x-4,y-3) what will be the coordinates of B’?
Answer:
B'(3, 5)
Step-by-step explanation:
Rule for the translation of a point (x, y) by 'h' units left and 'k' units upwards,
(x, y) → (x - h, y + k)
If h = 4 and k = 3,
[tex](x, y)\rightarrow(x-4,y+3)[/tex]
Following this rule coordinates of the image point of B will be,
B(7, 2) → B'(7 - 4, 2 + 3)
→ B'(3, 5)
Therefore, coordinates of the image point B' will be,
B'(3, 5)
Which expression represents the length, in inches,
of the framed picture?
Answer:
No solution is posible from the information provided
Step-by-step explanation:
Answer:
1. B
2. C
3. 8, 36
Does -5 + 7 - 8 = 6?
Answer:
-6
Step-by-step explanation:
-5+7=2
2-2=0
0-the remaining 6 of the 8=-6
s/10=7 pls help
.........................................................
answer :
s/10 = 7
s = 7 × 10
s = 70
Answer:
s = 70Step-by-step explanation:
[tex] \frac{s}{10} = 7[/tex]
=> s = 7 × 10
=> s = 70 (Ans)
Which graph represents the function f(x) = –|x + 3|?
Answer:
Where are the graph(s)?
Step-by-step explanation:
Answer: Its A on eng for the graphs.
Step-by-step explanation:
A jar of 150 jelly beans contains 22 red jelly beans, 38 yellow, 20 green, 28 purple, 26 blue, and the rest are orange. Let B = the event of getting a blue jelly bean Let G = the event of getting a green jelly bean. Let O = the event of getting an orange jelly bean. Let P = the event of getting a purple jelly bean. Let R = the event of getting a red jelly bean. Let Y = the event of getting a yellow jelly bean. Find P(R)
Answer: [tex]\frac{11}{75}[/tex]
Step-by-step explanation:
R is the event of getting a red jelly bean. 22 out of the 150 jelly beans are red. That means it is a [tex]\frac{22}{150}[/tex] chance of getting a red jelly bean.
Simplified that is [tex]\frac{11}{75}[/tex]
Twenty divided by a number algebraic expression
Answer:
20/n
Step-by-step explanation:
In the past 100 years, scientists measured the movement of the continents to be 190.5 centimeters. If the continents moved the same amount each year, how much did the continents move in one year?
Answer:
The continents moved by 1.905 centimeters each year.
Step-by-step explanation:
This question is solved by proportions, using a rule of three.
In the past 100 years, scientists measured the movement of the continents to be 190.5 centimeters. How much it moved in a year?
100 years - 190.5 centimeters.
1 year - x centimeters
[tex]100x = 190.5[/tex]
[tex]x = \frac{190.5}{100}[/tex]
[tex]x = 1.905[/tex]
The continents moved by 1.905 centimeters each year.
Find an expression which represents the difference when (-4x – 3y) is subtracted
from (-2x – 10y) in simplest terms.
Answer: (-2x-10y)-(-4x-3y)
-2x-10y-(-4x-3y)
-2x-10y+4x+3y
-2x+4x-10y+3y
-2x+4x-10y+3
Answer =2x-7y
Step-by-step explanation:
A circle has a circumference of 100 m. Find its area
Area of circle=796.5m²
Answer:
Solution given:
circumference of circle=100m
2πr=100m
r=100/(2π)
r=15.92m
now
area of circle=πr²=π×15.92²=796.5m²[approximately]
Answer:
A =796.1783439 m^2
Step-by-step explanation:
circumference = 2 * pi *r
100 = 2 * pi *r
Divide by 2
50 = pi r
Divide by pi
50/pi = r
Using 3.14 for pi
50/3.14 = r
15.92356688=r
Now we can find the area
A = pi r^2
A = 3.14 ( 15.92356688)^2
A =796.1783439 m^2
