Answer:
ok so if the scale is 2:49 that can be simplified as 1:98
so that means the real one is 98 times bigger then 24
98*24= 2352 cm or 196 feet
If using the method of completing the square to solve the quadratic equation
22 + 2x + 16 = 0, which number would have to be added to "complete the
square"?
Answer:
complete the square 2 x + 38 = 0
Step-by-step explanation:
An ellipse is graphed. Which statements about the ellipse are true? Select three options.
Answer:
The true statements are;
1) The center of the ellipse is at (-2, -5)
3) The covertices are at (-2, -4) and (-2, -6)
4) The distance between the center and each focus is 2·√6 units
Step-by-step explanation:
The given graph of the ellipse gives;
1) The location of the center of the ellipse = (-2, -5)
2) The location of the vertices of the ellipse = (-7, -5) and (3, -5)
The distance between the center (-2, -5) and each vertex, d, is given as follows;
d = -2 - (-7) = 5 and d = 3 - (-2) = 5
Therefore, the distance between the center (-2, -5) and each vertex is 5 units
3) The location of the covertices, given in the diagram are (-2, -4), and (-2, -6)
4) The coordinates of the focus of an ellipse = h - c, k
c = √(a² + b²)
Where, for the given ellipse, h = -2, k = -5, c = √(5² - 1²) = √(24) = 2·√6
∴ The location of the focus of the ellipse = (-2 - 2·√6, -5)
The distance between the center and each focus, d = -2 - (-2 - 2·√6) = 2·√6
5) The x-coordinate of the directrices of the ellipse = ± a/e
Where; a = 5
b² = a²·(1 - e²)
∴ e² = 1 - b²/a² = 1 - 1/25 = 24/25
e = 2·√6/5
The directrices = -2 ± 5/(2·√6/5) ≈ -2 ± 5.1
The distance between the center and the directrices ≈ 5.1 units
Therefore, the directrices are vertical lines approximately 5.1 units from the center
The probability that a certain make of car will need repairs in the first four months is 0.8. A dealer sells six such cars. What is the probability that at least one of them will require repairs in the first four months? Round your final answer to four decimal places.
Answer:
0.9999
Step-by-step explanation:
One way to calculate the probability that at least one of them need repairs is that we can calculate the opposite (none need repairs) and subtract that from 1 (100%).
The probability that a car does not need repairs is 0.2. To find the probability that six cars all fulfill this 0.2 probability, we can get [tex]0.2^{6} =0.000064[/tex] . This is the probability that none require repairs. The opposite of this is that at least one needs repairs, so 1-0.000064 - 0.999936. Rounded to 4 decimal places, the probability is 0.9999
If U={1,2,3,.............,10} A={2,4,6,8,10} and B= {1,3,5,7,9); then
find(A-B)?
Answer:
{2, 4, 6, 8,10}
Step-by-step explanation:
GIven U={1,2,3,.............,10} A={2,4,6,8,10} and B= {1,3,5,7,9);
Required
A-B = AnB'
B' = {2, 4, 6, 8,10}
AnB' are elements common to both A and B'.Hence;
AnB' = A- B = {2, 4, 6, 8,10}
25 points!!! I will give brainliest to the first CORRECT answer!!
Answer:
It's well be 2 cause that is the only one thag makes sense
Solve this please!!,!,!
Answer:
z = -74
Step-by-step explanation:
12 = (2+z) / -6
Multiply each side by -6
-6 * 12 = (2+z)/ -6 * -6
-72 = 2+z
Subtract 2 from each side
-72-2 = 2+z-2
-74 =z
Let t=4 and u=6+2i. Find t+u.
The answer for the following question is 12i.
Answer:
t + u = 10 + 2i
Step-by-step explanation:
t + u
= 4 + 6 + 2i ← collect like terms
= 10 + 2i
In the figure, .
∠AEB and ∠CED are congruent
.
∠AEC and ∠
are congruent by the Vertical Angles Theorem.
Answer:
∠AEC ≅ ∠BED by vertical angles theorem
Answer:
Answer:
∠AEC ≅ ∠BED by vertical angles theorem
Step-by-step explanation:
Subtract the sum of 12ab –10bc –18ac and 9ab +12bc + 14ac from the sum of ab + 2bc and 3bc –ac.
Answer:
this is the answers
2. A company manufactures fuses. The percentage of non-defective fuses is 95.4%. A sample of 9 fuse was selected. Calculate the probability of selecting at least 3 defective fuses.
Answer:
0.0067 = 0.67% probability of selecting at least 3 defective fuses.
Step-by-step explanation:
For each fuse, there are only two possible outcomes. Either it is defective, or it is not. The probability of a fuse being defective is independent of any other fuse, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A company manufactures fuses. The percentage of non-defective fuses is 95.4%.
This means that 100 - 95.4 = 4.6% = 0.046 are defective, which means that [tex]p = 0.046[/tex]
A sample of 9 fuse was selected.
This means that [tex]n = 9[/tex]
Calculate the probability of selecting at least 3 defective fuses.
This is:
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{9,0}.(0.046)^{0}.(0.954)^{9} = 0.6545[/tex]
[tex]P(X = 1) = C_{9,1}.(0.046)^{1}.(0.954)^{8} = 0.2840[/tex]
[tex]P(X = 2) = C_{9,2}.(0.046)^{2}.(0.954)^{7} = 0.0548[/tex]
Then
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.6545 + 0.2840 + 0.0548 = 0.9933[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.9933 = 0.0067[/tex]
0.0067 = 0.67% probability of selecting at least 3 defective fuses.
Anya, Daniel and Victoria shared some tokens for games in an arcade in the ratio 3:5:7.
Daniel and Victoria together received a combined total of 36 tokens. What is the total
number of tokens originally shared among
the friends?
Answer:
45 Tokens
Step-by-step explanation:
3:5:7
Anya = 3
Daniel = 5
Victoria = 7
Daniel + Victoria = 36
5 + 7 = 36
12 = 36
1 = 3
(1 ratio is 3 tokens)
(3 + 5 + 7) × 3 = 45
AC = 16, AB = x + 1, and BC = x + 7. What is the measure of the length of AB? HELP
Answer:
5
Step-by-step explanation:
AC=AB+BC
so 16=x+1+x+7
which simplifies to 16=2x+8
subtract eight from both sides to get 8=2x
then divide by 2 to get that x=4
AB=x+1, which substitutes into 4+1=5
If u= (1 + iv3) and v = (1 + 2iv3), then what is uv?
Answer:
your answer would be B. -5 +3i✓3
John turned in the following solution to an inequality and his teacher marked it wrong. What mistake did John make?
A. incorrectly reversed the inequality symbol
B. Failure to combine like terms
C. Incorrect division
D. Incorrect addition
(I have to leave for school in 15 minutes please)
Select the correct answer.
You're given a side length of 7 centimeters. How many equilateral triangles can you construct using this information?
OA
0
OB. 1
OC. 2.
OD 3
Reset
Next
© 2021 Edmentum. All rights reserved.
o
.
Answer:
1
Step-by-step explanation:
An equilateral triangle is a triangle with all three sides of equal length, so there's only one option, a triangle with all three sides 7 centimeters.
It doesn’t give options so I can’t guess
Answer:
x = 135
Step-by-step explanation:
The angles are vertical angles and vertical angles are equal
125 = x-10
Add 10 to each side
125+10 = x
135 =x
which of these is the alternate interior angle of BEA?
Answer:
Angle EBF is the alternate interior angle of BEA.
Step-by-step explanation:
We are taking AE parallel to BF and EB as the transversal.
Hope it helps you.^_^
Find the area of this prism.
Find the range of values of x for which 2x-3<7 and 2x+1>-3x-4.
Given:
The inequalities are:
[tex]2x-3<7[/tex]
[tex]2x+1>-3x-4[/tex]
To find:
The range of values of [tex]x[/tex] for the given inequalities.
Solution:
We have,
[tex]2x-3<7[/tex]
Adding 3 on both sides, we get
[tex]2x-3+3<7+3[/tex]
[tex]2x<10[/tex]
Divide both sides by 2.
[tex]\dfrac{2x}{2}<\dfrac{10}{2}[/tex]
[tex]x<5[/tex] ...(i)
The second inequality is:
[tex]2x+1>-3x-4[/tex]
Subtracting 1 from both sides, we get
[tex]2x+1-1>-3x-4-1[/tex]
[tex]2x>-3x-5[/tex]
Adding [tex]3x[/tex] on both sides, we get
[tex]2x+3x>-3x-5+3x[/tex]
[tex]5x>-5[/tex]
Divide both sides by 5.
[tex]\dfrac{5x}{5}>\dfrac{-5}{5}[/tex]
[tex]x>-1[/tex] ...(ii)
Using (i) and (ii), we get
[tex]-1<x<5[/tex]
Therefore, the required range is [tex]-1<x<5[/tex].
A 6) Set both given equations equal to zero, then combine them into one standard form
equation. Simplify if possible.
7x + 3 = 5 and y-1 = 6
Answer:
The standard equation is 7x + y = 9
Step-by-step explanation:
Equations given are:
7x + 3 = 5 and y - 1 = 6
Set both given equations equal to zero, then combine them into one standard form equation
Set the equations to zero by moving the constant from R.H.S to L.H.S
7x + 3 - 5 = 0
7x - 2 = 0 ---- eq 1
y - 1 = 6
y - 1 - 6 = 0
y - 7 = 0 ----- eq 2
We have to combine eq 1 and eq 2
7x - 2 + y - 7 = 0
7x + y - 9 = 0
The standard form of an equation is Ax + By = C
In this kind of equation, x and y are variables and A, B, and C are integers
Thus the standard equation is:
7x + y - 9 = 0
7x + y = 9
Thus the standard equation is 7x + y = 9
By the definition of a ▱, AD∥BC and AB∥DC. Using, AD as a transversal, ∠A and ∠ are same-side interior angles, so they are . Using side as a transversal, ∠B and ∠C are same-side interior angles, so they are supplementary. Using AB as a transversal, ∠A and ∠B are same-side interior angles, so they are supplementary. Therefore, ∠A is congruent to ∠C because they are supplements of the same angle. Similarly, ∠B is congruent to ∠.
Step-by-step explanation:
is it a question ? please check.
Answer:
Step-by-step explanation:
D.
supplementary.
BC.
D.
please help asap!!
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Please help I’ll give brainliest
-36y= x^2
does the parabola open:
1. left
2.down
3.up
4.right
Answer:
3. first make Y the subject, then x^2 will become negative which will make the the parabola open up
Irene faced north. She turned 270 ° to the left and then 90 ° more to the left.
In what direction is Irene now facing?
Proportions in similar triangles
Answer:
x = 4
Step-by-step explanation:
Given that DE is parallel to AC then DE divides the sides proportionally, so
[tex]\frac{BD}{DA}[/tex] = [tex]\frac{BE}{EC}[/tex] , substitute values
[tex]\frac{x+2}{x}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )
3x = 2(x + 2) ← distribute
3x = 2x + 4 ( subtract 2x from both sides )
x = 4
it takes one man four days to do a job if four man did that same job how many days will it take?
Answer:
16days
Step-by-step explanation:
1 man =4days
4men=4men/1man×4days
=4×4days
=16days
Answer:
1
Step-by-step explanation:
averaging
After reading The Lord of the Rings, Francesca signs up for archery lessons. At her first lesson, she sets up her target 5 feet away from her. After lots of practice, she now sets up her target 15 yards away. How many times farther away does Francesca set up her target now?
Answer:
[tex]3[/tex] times
Step-by-step explanation:
[tex]5x=15[/tex]
Divide both sides by 5
[tex]x=3[/tex]
Hope this helps
Answer:
9 Times
Step-by-step explanation:
You need to find how many times farther away Amy sets up her target. She used to set it up 5 feet away. Start by finding how many feet away she sets up her target now.
There are 3 feet in a yard, so multiply 15 yards by 3.
15×3=45
Now, Amy sets up her target 45 feet away. She used to set it up 5 feet away. You can use a multiplication fact to find how many times farther away she sets up her target now.
5×9=45
Amy sets up her target 9 times farther away now.
In a school 640 teachers like either milk or curd or both . The ratio of number of twacher who like milk to the number pf teachers who like curd is 3:2 and 160 teachers like both milk and curd . Find: How many teachers like milk?& How many teachers like curd only.
3+2=5
Milk =3/5×640 = 384
Curd 2/5×640 = 256
Estimate the square root to the nearest integer. -51
Answer:
49
Step-by-step explanation: