Answer:
[tex]\sqrt{11i}[/tex]
Step-by-step explanation:
x^2-9+20 = 0
x^2+11 = 0
x^2 = -11
x = [tex]\sqrt{-11} \\\sqrt{11i} \\[/tex]
WILL BE GIVING BRAINLIEST
Answer:
5 1/3
Step-by-step explanation:
16 = 3a
a = 16/3 = 5 1/3
Answer:
5 1/3
Step-by-step explanation:
16 = 3a
a = 16/3
= 5 1/3
Hope this helps!
evaluate.
(−1 2/3)^2=
Answer:
Step-by-step explanation:
(-5/3)(-5/3)= 25/9= 2 7/9
In the 30-60-90 triangle below, side s has a length of ____ and the
hypotenuse has a length of
Answer:
D
Step-by-step explanation:
1×2=2
1×[tex]\sqrt{3}[/tex]=[tex]\sqrt{3}[/tex]
The other leg of right triangle s is √3 units and hypotenuse of the right triangle is 2 units. Therefore, option D is the correct answer.
What are trigonometric ratios?The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
In the given right triangle, one of the leg is 1 unit, other leg is s unit and the hypotenuse is h units.
We know that, tanθ=Opposite/Adjacent
So, tan30°=1/s
1/√3 = 1/s
s=√3
We know that, sinθ=Opposite/Hypotenuse
sin30°=1/h
1/2 = 1/h
h=2
Therefore, option D is the correct answer.
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How many lines of rotational symmetry does this shape have?
Answer:
14 lines shape symmetry
The lengths of a lawn mower part are approximately normally distributed with a given mean Mu = 4 in. and standard deviation Sigma = 0.2 in. What percentage of the parts will have lengths between 3.8 in. and 4.2 in.? 34% 68% 95% 99.7%
Answer:
b) 68%
The percentage of the parts will have lengths between 3.8 in. and 4.2 in
P( 3.8 ≤ x ≤ 4.2) = 0.6826 = 68 %
Step-by-step explanation:
Let 'X' be the normally distributed
mean 'μ'= 4 inches
standard deviation 'σ' = 0.2 inches
Case(i):-
when x₁ = 3.8 inches
[tex]Z_{1} = \frac{x_{1}-mean }{S.D} = \frac{3.8-4}{0.2} = -1[/tex]
Case(ii):-
when x₂= 3.8 inches
[tex]Z_{2} = \frac{x_{2}-mean }{S.D} = \frac{4.2-4}{0.2} = 1[/tex]
The probability of the parts will have lengths between 3.8 in and 4.2 in
[tex]P( 3.8\leq x\leq 4.2) = P(-1\leq z\leq 1)[/tex]
= P(Z≤1) - P(Z≤-1)
= 0.5 +A(1) -(0.5-A(1)
= 2 A(1)
= 2×0.3413
= 0.6826
Conclusion:-
The percentage of the parts will have lengths between 3.8 in. and 4.2 in
P( 3.8 ≤ x ≤ 4.2) = 0.6826 = 68 %
Answer:
B
Step-by-step explanation:
E2020
Given PB tangent. PV,PU Secants. If m VU=70 degrees and m ST=30 degrees, then m angle 2=? 20,50,35
Answer:
50
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
odysseywar said i got it right
triangle jkl is similar to triangle tuv. find the missing side length of triangle tuv. JK=10in JL=8in KL=13in TU=7.5 UV=9.75 find TV
Answer:
TV=6 inch
Step-by-step explanation:
If Triangle JKL is similar to Triangle TUV, the following ratio applies.
[tex]\dfrac{JK}{TU}= \dfrac{KL}{UV}=\dfrac{JL}{TV}\\$JK=10in., JL=8in., KL=13in., TU=7.5., UV=9.75\\\dfrac{10}{7.5}= \dfrac{13}{9.75}=\dfrac{8}{TV}\\$Picking any two equal ratios\\ \dfrac{13}{9.75}=\dfrac{8}{TV}\\$Cross multiply\\13*TV=8*9.75\\TV=8*9.75 \div 13\\$TV=6 inch[/tex]
Can someone help me please thank you it’s geometry
Answer:
alternate exterior angles
Step-by-step explanation:
The two horizontal lines are simply two lines.
The other line is a transversal since it intersect the two lines at two different points.
Angles 1 and 8 are on two different sides of the transversal. That makes them alternate angles. They are on the outside of the two lines. That makes them exterior angles. Put the two things together and they are:
alternate exterior angles
Please answer correctly !!!!! Will mark brainliest !!!!!!!!!!!
Answer:
your answers are already matched up
Step-by-step explanation:
Find the equation of a line which passes through (2,3)and is perpendicular to y-3x+1=0.give your answer in the form y=mx+c
Answer:
3x - 1 = 0
Step-by-step explanation:
3x + 1 = 0
The perpendicular of a line has a slope that is the negative reciprocal of that lines slope.
So the answer is 3x - 1 = 0
The value of a painting can be predicted by the expression 120(1.08)t, where t is the number of years since 2014.
What does the value 120 represent?
1. the predicted value of the painting in 2014
2. the predicted change in the value of the painting each year
3. the predicted percent change in the value of the painting each year
4. the number of years for which the value of the painting is predicted to continue changing
Answer:
1. the predicted value of the painting in 2014
Step-by-step explanation:
In the expression, 120 represents the initial value of the painting.
In expression [tex]120(1.08)^t[/tex], t is the number of years since 2014, and 120 represents the predicted value of the painting in 2014.
Exponential growth occurs if a quantity increases by the same factor over equal intervals of time and if a quantity increases by the same factor over equal intervals of time then it is said to be exponential decay.
2 3 x = − 1 2 x + 5 what is x?
Answer: 1/7
Step-by-step explanation:
23x = -12x + 5
23x + 12x = 5
35x = 5
x = 1/7
John goes running every morning. He can run 3 miles in 1 hour. How many miles would he be able to run in 1 and ½ hours?
Answer:
4.5 or 4 1/2 miles
Step-by-step explanation:
[tex]\dfrac{3\text{ miles}}{\text{hour}}\cdot 1.5 \text{ hours}= 3\cdot 1.5=4.5[/tex]
Hope this helps!
Which inequality is true
The first one on the left.
The vertical bars mean we take the absolute value of that number.
Absolute value means distance from zero on a number line.
So the absolute value of any number
is the positive version of that number.
So for the one on the left we have |-100| > |50|.
Since absolute value represents the positive version
of a number, the absolute value of -100 will be 100.
Since |50| is already positive, it stays the same.
So we have 100 > 50 which is indeed a true statement.
If you solve the other ones, you will see that they are false.
Answer:
the first one on the left side
Step-by-step explanation:
Please answer correctly !!!!!!!!! Will mark brainliest answer !!!!!!!!!!!!
Let f(x) = .................
Answer:
= -9/2
Step-by-step explanation:
g(x) = -2x^2 -4
Let x = 1/2
g(1/2) = -2 (1/2)^2 -4
= -2 ( 1/4) - 4
-1/2 -4
- 4 1/2
= -9/2
Select all the equations where a=8 is a solution.
Choose 3 answers:
A
a+11=15
B
1=8÷a
C
15+a=23
D
42=7a
E
a-5=3
Answer:
B,C, E
Step-by-step explanation:
A
a+11=15
8+11 = 19
false
B
1=8÷a
1 = 8÷8
1=1 true
C
15+a=23
15+8 = 23
23 = 23
true
D
42=7a
42 = 7*8
42 = 56
false
E
a-5=3
8-5 = 3
3=3 true
Please help! Correct answer only!
For a fundraiser, there is a raffle with 50 tickets. One ticket will win a $180 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
Answer:
$ 3.60 ; Type in 3.60
Step-by-step explanation:
Consider the steps below;
[tex]Total Number of Tickets - 50 Tickets,\\Possible Number of Tickets Entered - 1 Ticket,\\\\Proportion - 1 / 50\\Money Won - 180 Dollars,\\\\Proportionality - 1 / 50 = x / 180, Where, x = " Expected Payoff "\\\\1 / 50 = x / 180,\\1 / 50 * 180 = x,\\x = 180 / 50,\\x = 3.60 Dollars,\\\\Conclusion ; x = 3.60 Dollars[/tex]
Solution ; " Expected Payoff " ⇒ $ 3.60
which of the following is the solution to the inequality below?
Answer:
14≤x
Step-by-step explanation:
-6(x-4) ≤-4(x+1)
Distribute
-6x+24 ≤-4x-4
Add 6x to each side
24 ≤-4x-4+6x
24 ≤ 2x-4
Add 4 to each side
24+4≤2x
28≤2x
Divide by 2
28/2≤2x/2
14≤x
Dana has to pay 25% tax on any income above £24,000 per year. Dana is paid £36,000 annually. Calculate the amount of money she receives after tax each month.
Answer:
£2,750
Step-by-step explanation:
Tax rule: 25% tax on any income above £24,000 per year
It means that upto £24,000 there is no tax and the amount above £24,000
is taxable.
Annual payment of Dana = £36,000
Hence, she will be taxed only on amount above £24,000 out of £36,000.
Lets find amount above £24,000 = £36,000- £24,000 = £12,000
Tax on £12,000 = 25% of £12,000 = 25/100 * £12,000 = £3,000
Thus, £3,000 will be deducted as tax annually out of total earning of £36,000.
Amount paid to Dana after deduction of tax annually = £36,000 - £3,000
Amount paid to Dana after deduction of tax annually is £33,000
As one year has 12 months , hence it can be also said that in 12 months she is paid £33,000
the amount of money she receives after tax in 12 month = £33,000
Dividing LHS and RHS by 12
The amount of money she receives after tax in 12/12 month = £33,000/12
The amount of money she receives after tax in 1 month = £2,750
The amount of money Dana receives after tax each month is £2,750.
A standard fair dice is rolled twice. What is the probability of getting an even number on the first roll and any number except 5 on the other?
Answer:
Step-by-step:
Well, the probability for getting an even number on the first roll is 1/2
The probability for getting not 5 would be 5/6
You can make a tree diagram.
1 2 3 4 5 6
1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6
The numbers on the top represent the first roll. The numbers on the bottom represent the second roll. The first roll should be an even number, so we know that we should be looking at the even numbers. The second one should be anything but 5. So, what I did was look at the numbers that weren't 5. Look at the diagram with the even number at the top. then, look at the numbers that aren't 5 below. Since there are 5 numbers that aren't 5, and 3 even numbers, multiply 3 x 5 and you'll have 15. So add all the numbers at the bottom and that would be 36, so it's 15/36.
can someone help me pls !!
Answer:
you're on a computer, you can literally just look up the answer.
Step-by-step explanation:
The solutions of a quadratic equation is 8 and 2. What is the quadratic equation?
(i need help now)
Answer:
x² - 10x + 16 = 0
Step-by-step explanation:
Given the solutions x = 8 and x = 2 , then the factors are
(x - 8) and (x - 2) and the equation is
(x - 8)(x - 2) = 0 ← expand left side using FOIL
x² - 10x + 16 = 0
Michael's checking account balance was $345. Michael withdrew $160 three times. What is his balance now?
Answer:
The answer is -135
Step-by-step explanation:
We can do 160 times 3 which is 480 for the 3 times he withdrew $160 from his total. (Withdraw means taking, so subtraction).
Then, we do 480 minus 354 which is -135.
can someone help me!!
Answer:
y = 4x -3
Step-by-step explanation:
A bakery sold three kinds of muffins on Monday. The ratio of cranberry to blueberry muffins sold was 2:3. The ratio of blueberry to cinnamon muffins sold was 4:1. If 60 blueberry muffins were sold on Monday, how many more cranberry muffins than cinnamon muffins did the bakery sell?
Answer:
total cinnamon sold = 15
total cranberry sold = 40
so, according to the question
cranberry - cinnamon muffin
40-15
25
Hence, 25 cranberry muffins were sold more than cinnamon muffins.
The bakery sold 25 more cranberry muffins than cinnamon muffins on Monday.
What is an expression?An expression is a mathematical phrase that can contain variables, constants, and mathematical operations, but does not have an equals sign. Expressions are used to represent mathematical relationships and to evaluate numerical values.
Let's start by using the given ratios to determine the number of cranberry and cinnamon muffins sold on Monday.
We know that the ratio of cranberry to blueberry muffins sold was 2:3, which means that for every 2 cranberry muffins sold, 3 blueberry muffins were sold. We also know that the ratio of blueberry to cinnamon muffins sold was 4:1, which means that for every 4 blueberry muffins sold, 1 cinnamon muffin was sold.
Since we know that 60 blueberry muffins were sold on Monday, we can use the ratio of cranberry to blueberry muffins sold to find the number of cranberry muffins sold:
2/3 = x/60
Where x is the number of cranberry muffins sold.
Multiplying both sides of the equation by 60, we get:
2/3 * 60 = x
Simplifying, we get:
x = 40
So, 40 cranberry muffins were sold on Monday.
Now, using the ratio of blueberry to cinnamon muffins sold, we can find the number of cinnamon muffins sold:
4/1 = 60/y
Where y is the number of cinnamon muffins sold.
Multiplying both sides of the equation by y, we get:
4y = 60
Dividing both sides of the equation by 4, we get:
y = 15
So, 15 cinnamon muffins were sold on Monday.
Finally, to answer the question, we need to find the difference between the number of cranberry muffins sold and the number of cinnamon muffins sold:
40 - 15 = 25
Therefore, the bakery sold 25 more cranberry muffins than cinnamon muffins on Monday.
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In a sale all prices are reduced by 10% .What is the sale price of an article marked AED 75.
Answer:
67.5
Step-by-step explanation:
When you calculate the 10% of AED75, it is equal to AED7.5Then you subtract AED7.5 from AED75 which is AED67.5Is x = 17 a solution to the equation x + 15 = 42?
guys plz help me :(
Answer:
no
Step-by-step explanation:
x + 15 = 42
Subtract 15 from each side
x + 15-15 = 42-15
x = 27
x = 17 is not 27 so it is not a solution
Answer:
No.
Step-by-step explanation:
If you substitute 17 in for x in the equation you get 17+15=42. Simplify to get 32=42. This is not a true statement, so x=17 is not the answer.
Suppose A and B are independent events. If P(A) = 0.3 and P(B) = 0.45, what is
P(A n B)?
Answer:
D
Step-by-step explanation:
P(A n B) given A and B are independent events is P(A) * P(B)
The probability of intersection of event A and B is 0.135, the correct option is D.
What is Probability?Probability is the study of chance of an event to happen.
A and B are two independent events.
P(A) = 0.3
P(B) = 0.45
P(A ∩ B) = P(A) * P(B)
P(A ∩ B) = 0.3 *0.45
P(A ∩ B) = 0.135
Therefore, the probability of intersection of event A and B is 0.135, the correct option is D.
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Could you Show work please
Answer:
2784 cm^2
Step-by-step explanation:
I have indicated in the pic there are 4 types of rectangles:
green : 20 x 4 = 80
red : 18 x 4 = 72
yellow : 20 x 18 = 360
blue : 18 x 16 = 288
green has 6 identical surface area so 6 x 80 = 480
red has 4 so 4 x 72 = 288
yellow has 4 so 4 x 360 = 1440
blue has 2 so 2 x 288 = 576
total : 480 + 288 + 1440 + 576 = 2784