Answer: The bedroom is 5 x 5, since that is the only square measure that would make 25 (5x5) ft^2. Assuming no doors, windows, or pinups, the wall area is 120 ft^2
Step-by-step explanation:
4 walls, with no doors or windows, would be 4x (5*6) = 120ft^2
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]
Find the inverse of each of the given funcions
fo) = 4x-12
51x)=
DONE
o
Let y be f(x)
[tex]\\ \sf\longmapsto y=4x-12[/tex]
Swipe the values
[tex]\\ \sf\longmapsto x=4y-12[/tex]
Isolate y[tex]\\ \sf\longmapsto 4y=x+12[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{x+12}{4}[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{1}{4}x+3[/tex]
Hence.
[tex]\\ \sf\longmapsto f^{-1}(x)=\dfrac{1}{4}x+3[/tex]
Let y=f(x)
y=4x-12Now interchange the variables
x=4y-12The y we need now
x+12=4yDivide both sides by 4
y=(x+12)/4This is the inverse
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 $231
please help me i’m being timed
if A (4x, y) and B (2x, 3y) are points on a grid, the coordinates of the midpoint line segment
AB are:
Answer:
...............c
Step-by-step explanation:
If there are three black, four white, two blue, and four gray socks in a drawer, what would be the probability of picking a blue sock? Round your answer to the nearest tenth.
Answer:
3/13 which is 0.23 as a decimal
Step-by-step explanation:
The product of three whole numbers is 120 how many different possibilities are there for the three whole numbers
9 different possibilities
Answer:
z. sjshshdbd.d.difffjfjfjf
cho tập hợp A=(2;7)và tập hợp B=[7;10]tìm tập hợp a∩B
sorry po di ko ma intindihan
Step-by-step explanation:
sorry po
trying to figure it out
If the fraction 396/x-10 is equivalent to -22, find the value of x
Answer:
-33
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
396/x-10-(-22)=0
Answer:
-33
Step-by-step explanation:
my work is done in the image below
explain and show how please ! and give answer someone pls answer asap !
Answer:
Both angels are 70 and both added are 140.
Step-by-step explanation:
Because of the rules, that's names i never remember angle 1 and angle 2 are both 70° and obiously they equal 140.
1 3x5 x 2 1x3 i don't know what eles to right but what is the answer
May I please receive help?
4, -1/4 -1,
we can do this simply by
(y2-y1)/(x2-x1)
and simplifying
How do I do 7<1+x in linear equations
Answer:
7<1+x
1+x>7
x>7-1
x>6
Step-by-step explanation:
hope this helps a little
Guys can u please help i can explain it so i gotta send a photo i always give hearts and 5 stars :D the photo is down below
Answer:
5x cm
Step-by-step explanation:
Total length of AE = 2x + 3x
= 5x cm
Can anyone help me, I can’t find the answer.
Answer:
(p = 2) = -2
Step-by-step explanation:
please help i be struggling on this..
Step-by-step explanation:
8
a. total cost ($)
→ 25 = 25×2.5 = $62.5
→ 50 = 50 × 2.5 = $125
→ 75 = 75 × 2.5 = $187.5
b. 2.5n
c. $400/2.5 = 160
therefore, she can make 160 crafts by $400.
9. 7x + 12 = 18
→ 7x = 18 - 12 = 6
→ x = 6/7
therefore value of x is 6/7.
hope this answer helps you dear...take care
Please help me! What is 1000*1000?
Answer:
1,000,000
Step-by-step explanation:
Find all numbers whose absolute value is 5.
If there is more than one, separate them with commas.
If there are no such numbers, click on "None".
Answer:
5 , |-5|
Step-by-step explanation:
2 of the above are the absolute value of 5
The two numbers whose absolute value is 5 are 5 and -5.
Numbers whose absolute value is 5 can be both positive and negative.
The absolute value of a number is its distance from zero on the number line, so any number that is 5 units away from zero in either the positive or negative direction will have an absolute value of 5.
Here are the numbers whose absolute value is 5:
5 (positive 5, because it's 5 units to the right of zero)
-5 (negative 5, because it's 5 units to the left of zero)
Hence, 5 and -5 are the two numbers whose absolute value is 5.
To learn more on Number system click:
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Given h(x)=5x-1h(x)=5x−1, find h(1)h(1).
Can someone solve this equation.
Answer:
1/2
Step-by-step explanation:
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
To learn more about days click on,
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3x - 2y = -14
Standard Form
Slope- Intercept Form
Help????
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
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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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
I will mark brainiest plz help
Answer:
96
Step-by-step explanation:
The length of the large rectangle is: 5 units
The width of the large rectangle is: 7 units
- > Area of the large rectangle = length × width = 7*5 = 35 square units
The length of the middle rectangle is: 7 units
The width of the middle rectangle is: 4 units
- > Area of the middle rectangle = length × width = 7*4 = 28 square units
The length of the small rectangle is: 7 units
The width of the small rectangle is: 3 units
- > Area of the small rectangle = length × width = 7*3 = 21 square units
Area of top and the bottom triangles =2* 1/2(bh) = 4*3 = 12 square units
Then we find the total surface surface area by adding up all of these
- > 35 + 28 + 21 + 12 = 96 square units
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
Learn more : https://brainly.com/question/25257355
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.
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.
