If there are three black, four white, two blue, and four gray socks in a drawer, what would be the probability of picking a blue sock? Round your answer to the nearest tenth.
Answer:
3/13 which is 0.23 as a decimal
Step-by-step explanation:
I believe the answer is 840, but need the work shown. Help my friend out!
Answer:
A
Step-by-step explanation:
Given h(x)=5x-1h(x)=5x−1, find h(1)h(1).
Prove that:
[tex] \cos( \frac{3\pi}{2} + \theta) \cos(2\pi + \theta) [ \cot( \frac{3\pi}{2} - \theta) + \cot(2\pi + \theta) ] = 1 [/tex]
Please solve this problem because tomorrow is my maths exam.
Explanation:
On taking LHS
Cos[(3π/2)+θ]Cos(2π+θ)[Cot{(3π/2)-θ}+Cot(2π+θ)]
We know that
π = 180°
2π = 2×180° = 360°
3π/2 = (3×180°)/2 = 540°/2 = 270°
Now
LHS becomes
Cos(270°+θ)Cos(360°+θ)[Cot(270°-θ)+Cot(360°+θ)]
We know that
Cos (270°+θ) = Sin θ
Cos (360°+θ) = Cos θ
Cot (270°-θ) = Tan θ
Cot (360°+θ) = Cot θ
→ Sin θ Cos θ [Tan θ + Cot θ]
→ Sinθ Cosθ[(Sinθ/Cosθ)+(Cosθ/Sinθ)]
→ Sinθ Cosθ[(Sin²θ+Cos²θ)/(SinθCosθ)]
→ Sin θ Cos θ [1/(Sin θ Cos θ)]
Since Sin²θ+Cos²θ = 1
→ (Sin θ Cos θ)/(Sin θ Cos θ)
→ 1
→ RHS
→ LHS = RHS
Hence, Proved.
Here are the formulae that I have used:
→ π = 180°
→ Cos (270°+θ) = Sin θ
→ Cos (360°+θ) = Cos θ
→ Cot (270°-θ) = Tan θ
→ Cot (360°+θ) = Cot θ
Here are the Trigonometric Identities that I have used:
→ Sin²θ+Cos²θ = 1
If (a + b)^2 = a^2 +n + b^2 , what is n?
Answer:
[tex] {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} \\ n = 2ab[/tex]
Dan the Donut man has to buy the donut machine for 89 dollars. He then can make donuts and sell them for 2 dollars a person. How many donuts does he need to sell to make at least
$231?
Answer:
161 donuts
Step-by-step explanation:
(231+89)/2 then add one more donut as the question asked for at least $231
320/2 = 160 + one more donut = 161 donuts have to sold to make at least $231.
You have add the machine price as he wouldn't be making a profit off it if he didn't surpass what he spent for it.
Check your work by doing 161 times 2 minus 89 minus the 1 donut added and you'll get the $231. Not subtracting the one shows the profit of a dollar aka at least $231
Can anyone help me, I can’t find the answer.
Answer:
(p = 2) = -2
Step-by-step explanation:
2×[3+2×(10-3)]=
Pa helppppp
Step-by-step explanation:
2 × [3 + 2 × (10 - 3)] =
2 × (3 + 2 × 7) =
2 × (3 + 14) =
2 × 17 = 34
Answer:
34
Step-by-step explanation:
2 × [3 +2 × (10 - 3)]=
2 × (3 + 2 × 7)=
2 × ( 3 + 14)=
2 × 17=
34.
trying to figure it out
Guys can u please help i can explain it so i gotta send a photo i always give hearts and 5 stars :D the photo is down below
Answer:
5x cm
Step-by-step explanation:
Total length of AE = 2x + 3x
= 5x cm
The product of three whole numbers is 120 how many different possibilities are there for the three whole numbers
9 different possibilities
Answer:
z. sjshshdbd.d.difffjfjfjf
Given that in isosceles △ABC , base BC¯¯¯¯¯, BE¯¯¯¯¯⊥AC¯¯¯¯¯, and CF¯¯¯¯¯⊥AB¯¯¯¯¯, which of the following proves that BE¯¯¯¯¯≅CF¯¯¯¯¯?
1. Isosc. △ABC, base BC¯¯¯¯¯ (Given)
2. AB¯¯¯¯¯≅BC¯¯¯¯¯ (Def. of Isosc. △)
3. BE¯¯¯¯¯⊥AC¯¯¯¯¯, CF¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
4. ∠BEA and ∠CFA are Supplementary Angles (Def. of ⊥)
5. AB¯¯¯¯¯≅BC¯¯¯¯¯ (Supp. ∠s ≅ Thm.)
6. ∠A≅∠A (Reflex. Prop. of≅)
7. △ABE≅△ACF (SAS Steps 1, 6, 5)
8. BE¯¯¯¯¯≅CF¯¯¯¯¯ (CPCTC)
1. Isosc. △ABC, base BC¯¯¯¯¯ (Given)
2. AB¯¯¯¯¯≅BC¯¯¯¯¯ (Def. of Isosc. △)
3. BE¯¯¯¯¯⊥AC¯¯¯¯¯, CF¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
4. ∠BEC and ∠CFB are Supplementary Angles (Def. of ⊥)
5. AC¯¯¯¯¯≅BC¯¯¯¯¯ (Supp. ∠s ≅ Thm.)
6. ∠A≅∠B (Sym. Prop. of≅)
7. △ABE≅△ACF (SAS Steps 1, 6, 5)
8. BE¯¯¯¯¯≅CF¯¯¯¯¯ (CPCTC)
1. Isosc. △ABC, base BC¯¯¯¯¯ (Given)
2. AB¯¯¯¯¯≅AC¯¯¯¯¯ (Def. of Isosc. △)
3. BE¯¯¯¯¯⊥AC¯¯¯¯¯, CF¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
4. m∠BEA=m∠CFA=90∘ (Def. of ⊥)
5. ∠BEA≅∠CFA (Rt. ∠s ≅ Thm.)
6. ∠A≅∠A (Reflex. Prop. of≅)
7. △ABE≅△ACF (AAS Steps 5, 6, 1)
8. BE¯¯¯¯¯≅CF¯¯¯¯¯ (CPCTC)
1. Isosc. △ABC, base BC¯¯¯¯¯ (Given)
2. AB¯¯¯¯¯≅AC¯¯¯¯¯ (Def. of Isosc. △)
3. BE¯¯¯¯¯⊥AC¯¯¯¯¯, CF¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
4. m∠BEC=m∠CFB=90∘ (Def. of ⊥)
5. ∠BEC≅∠CFB (Rt. ∠s ≅ Thm.)
6. ∠A≅∠B (Sym. Prop. of≅)
7. △ABE≅△ACF (AAS Steps 5, 6, 1)
8. BE¯¯¯¯¯≅CF¯¯¯¯¯ (CPCTC)
The correct proof that proves that BE ≅ CF is the proof in option C. (see attachment).
Recall the following:
An isosceles triangles has two sides that are congruent and a base.AAS Congruence Theorem proves that two triangles are congruent if they possess two pairs of congruent sides and a pair of non-included congruent sides.All corresponding parts of two congruent triangles are equal in measure to each other, based on the CPCTC Theorem.The isosceles triangle ABC given is shown in the image attached below.
To prove that, BE ≅ CF, establish the fact that △ABE ≅ △ACF by the AAS Congruence Theorem.
Since △ABE ≅ △ACF, therefore BE ≅ CF by the CPCTC Theorem.
Thus, the correct proof that proves that BE ≅ CF is the proof in option C. (see attachment).
Learn more about AAS Congruence Theorem on:
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How do I do 7<1+x in linear equations
Answer:
7<1+x
1+x>7
x>7-1
x>6
Step-by-step explanation:
hope this helps a little
What is 191 divided by 5 with a remainder
Answer:
your answer is 38 with a remainder of 1
Step-by-step explanation:
Nominator
191
Denominator
5
38.2= 38 Remainder 1
The result of 191/5 is a terminating decimal with 1 digit to the right of the decimal point.
191 divided by 5 in decimal = 38.2
191 divided by 5 in fraction = 191/5
191 divided by 5 in percentage = 3820%
On dividing 191 by 5, the remainder is 1.
The divisor is the integer that divides a given number. The resultant number is sometimes referred to as the quotient. The residual is the number that the divisor leaves after partially dividing the original integer.
Dividend = Divisor x Quotient + Remainder
On dividing 191 by 5
Step 1: Divide 191 into 5 parts: 191/5 = 38(integer part only)
Step 2: Divide the quotient you just calculated by the divisor (5).
38 × 5 = 190
Step 3: Subtract the result from the initial dividend from step 2 (191) (191):
191 - 190 = 1
Step 4: The remainder is the outcome of step 3:
1 is the result of dividing 191 by 5.
Therefore, the remainder after dividing 191 by 5 is 1.
Learn more about the mathematical operation, here:
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Area of sector is to
as arc measure is to 360 degrees.
diameter
circle area
semicircle
circumference of circle
Answer:
circle area
Step-by-step explanation:
A full circle contains 360 degrees. So, an arc of 360 degrees would just be a circle.
The area of a sector is to the circle area
How to complete the blank?The area of a circle is:
[tex]A = \pi r^2[/tex]
The area of a sector is:
[tex]a = \frac{\theta}{360} * \pi r^2[/tex]
Substitute [tex]A = \pi r^2[/tex] in the above equation
[tex]a = \frac{\theta}{360} * A[/tex]
The above means that the area of a sector is a fraction of the circle area
Hence, the area of a sector is to the circle area
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I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answer:
1.) 1 ,2, 31, 62
2.) 1, 3, 5, 9
3.) 540
Step-by-step explanation:
1.) 1x62= 62
2x31= 62
31x2= 62
62x1=62
Each of these number are a multiple of 62.
2.) 1x45=45
3x15=45
5x9= 45
9x5= 45
3.) 420÷2= 210
420÷3= 140
420÷5= 84
420÷6= 70
420÷9= 46.667 This number is not a multiple of 420 because the answer is in decimals which means 9 is not divisible by 420
540÷2= 270
540÷3= 180
540÷5= 108
540÷6= 90
540÷9= 60
540÷10= 54
2, 3, 5, 6, 9 and 10 is divisible by all of these numbers
Answer:
1) 1 ,2, 31, 62
2) 1, 3, 5, 9
3.) 540
Step-by-step explanation:
1) 62 would be divisible by 2 because its an even number, and if you split 62 in half, you would get 31.
2) 4+5 = 9. 3 and 9 are both divisible by 9, and 5 is divisible by 5.
3) All of the numbers are divisible by 10, 5, and 2 in the list. 250 is not divisible by 3, so we can take it off the list. The rest of the numbers are all divisible by 6. All we have left is 9. Both 420 and 510 add their values up to 6, which is not divisible by 9. That leaves us with 540 as our answer.
-kiniwih426
Pls help!!! Will mark brainliest!! links will be reported.
I hope this is the right answer and if it's not then my apologies.
And sorry it took so long.
the fastest recorded Hawaiian lava flow moved at an average speed of 6 miles per hour. The function y=6x describes the distance y the lava moved on average in x hours. graph the function. use the graph to estimate how many miles the lava moved after 4.5 hours
Answer:
The answer is 27 6 times 4.5 is 27 Welcome!!!
Step-by-step explanation:
Brainiest ????
explain and show how please ! and give answer someone pls answer asap !
Answer:
Both angels are 70 and both added are 140.
Step-by-step explanation:
Because of the rules, that's names i never remember angle 1 and angle 2 are both 70° and obiously they equal 140.
3x - 2y = -14
Standard Form
Slope- Intercept Form
Help????
slope=0, goes through the point (0,6)
Answer:
y=6
Step-by-step explanation:
no slope means no X or M in y=mx+b
leaves you with y=b which is whatever y is in the cordinate (x,y)
in this case, 6
Answer:
y=6
Step-by-step explanation:
We can use point slope form
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y-6 = 0(x-0)
y-6 = 0
Add 6 to each side
y-6+6 = 0+6
y=6
Can someone solve this equation.
Answer:
1/2
Step-by-step explanation:
Please help me! What is 1000*1000?
Answer:
1,000,000
Step-by-step explanation:
Avery and Carmen both have summer jobs. Avery gets paid $360 every 4 weeks. Carmen gets paid $480 every 6 weeks. summer break lasts a total of 12 weeks. who will earn more money during summer break?
Answer:
Avery
Step-by-step explanation:
12/4=3 so Avery will be paid 3 times
360×3= $1080
12/6=2 Carmen will be paid twice
480×2=$960
Avery earns more
please help me i’m being timed
if A (4x, y) and B (2x, 3y) are points on a grid, the coordinates of the midpoint line segment
AB are:
Answer:
...............c
Step-by-step explanation:
Multi-step word problems are combination of fundamental which includes hidden questions. Here, you will be able to think deeply and improve your higher order thinking skills to solve the problems. Learning Task 2. Solve the given problems. Use the 4-steps inn solving word problems. A hidden questions should be incorporated in your answer Write your solution in your notebook. 1. Mr. Fernandez earns P 28.50 per hour as an office clerk. He earns 1.75 times as his regular rate for overtime. His regular work is 40 hours per week. He gets overtime pay if he works more than 40 hours. How much is his total earning if he works 45 hours in one week? 2. Lucy earns P 1,525.00 a week. She sets aside 15% of this for savings. How much does she save in a year? (Hint: 1 year = 52 weeks). 3. Mrs. Briones has a monthly pay of 50,000.00. The withholding tax de ducted from her monthly salary is P 5,275.75. What is the actual pay she receives in a year?
The solution to the word problems given are obtained by creating a mathematical expression from the questions given. Hence, the solutions are :
$1389.375$11895$5366911.)
Regular Earning per hour = $28.50Overtime earning = 1.75 × 28.50 = $49.875Regular work hour = 40 hoursTotal work hours = 45 hours
Total earning can be defined thus :
28.50(40) + 49.875(45 - 40)
1140 + 249.375
= $1389.375
2.)
Earning per week = $1525Percentage saving = 15%Yearly saving can be calculated thus :
Weekly saving = 15% × 1525 = $228.75
Amount saved per year = $228.75 × 52 = $11895
3.)
Monthly pay = $50000Withholding tax per month = P 5275.75Actual payment received per year can be calculated thus :
Actual weekly earning = $50000 - $5275.75 = $
Actual yearly earning = 52 × $44724.25 = $536691
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Whenever the first and last day of a
month fall on the same day of the week,
that month has exactly how many days?
A. 28
B. 29
C. 30
D. 31
Step-by-step explanation:
I believe it would be 29days
Months with 31 days are the only ones where the first and last day of the month fall on the same day of the week. So, correct option is D.
The months with the same day of the week for their first and last day have either 30 or 31 days. This is due to the repeating pattern of days in a month.
Let's consider the possibilities:
If a month has 30 days and the first day falls on a Sunday, then the last day of the month would fall on a Tuesday, which is two days ahead. This means that the next month's first day would be a Wednesday. Since there are only 7 days in a week, the first and last day cannot be the same for a 30-day month.
If a month has 31 days and the first day falls on a Sunday, then the last day of the month would fall on a Monday, which is just one day ahead. This means that the next month's first day would also be a Monday, making the first and last day the same for this 31-day month.
Thus, the correct answer is D. 31
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If the fraction 396/x-10 is equivalent to -22, find the value of x
Answer:
-33
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
396/x-10-(-22)=0
Answer:
-33
Step-by-step explanation:
my work is done in the image below
Which type of parent function is f(x) =^3cubed x
—
A. Square root
O B. Cube root
O C. Reciprocal
D. Quadratic
Help quick!!!
Answer:
Cube Root
Step-by-step explanation:
Because there is a 3 outside the symbol.
That means the equation is stating: y * y * y = x
Hope this helps :)
which of these numbers has both 2 and 5 as factors? A. 205 B. 502 C. 250 D. 202
Answer:
10=20. divisible by 2 (2,5 = 10) both of the factor are prime
Step-by-step explanation:
BIG BRAIN
