Answer:
51 meters
Step-by-step explanation:
Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?
We are to find the meters of fencing for the diagonal.
We solve the question using Pythagoras Theorem
= c² = a² + b²
Where
c = Diagonal
a = Width
b =Length
Diagonal² = Width² + Length ²
Hence:
Diagonal ² = 45² + 24²
Diagonal = √45² + 24²
Diagonal = √(2601)
Diagonal = 51 m
Therefore, the meters of fencing for the diagonal that Steve would be needing = 51 meters
Solve for each of the following situations.
Megan ordered her favorite pizza with 12 slices. Sadly, she could finish only 75% of the whole pizza. How
many pizza slices are left?
Answer:
She left 3 slices
Step-by-step explanation:
to find the number of slides that I have concluded, we will do the following
[tex] \frac{75}{100} \times 12 = 9[/tex]
Then She left
[tex]12 - 9 = 3[/tex]
If you borrow $491 for one year at an interest rate of 9%, how much interest will you pay?
Answer:
44.19
Step-by-step explanation:
419*0.09=44.19
An escalator 152 feet in length rises to a platform and makes a 31° angle with the ground. Find the height of the
platform above the ground.
Answer:
78.3 or 78.29
Step-by-step explanation:
We are asked to find the height of the figure which is the vertical side of the triangle. We are given an angle and we are a side opposite of that angle( the height of the platform) and the hypotenuse 152. So we are going to use sine.
Opposite/Hypotenuse
We use this equation
[tex] \sin(theta) = \frac{opp}{hypo} [/tex]
Plug in the values
[tex] \sin(31) = \frac{x}{152} [/tex]
Which is about 78.29
Write as an addition problem: 22 - (-8)
Step-by-step explanation:
22+8
I think this ans may help you
Mister Lincoln by juices and water for the school picnic a pack of their juices box cost $5 about the six water bottles cost $3 Mister Lincoln spends $94 for a Hyundai Sonata juice boxes and bottled water.
Answer:
10 packs of juice and 15 packs of water was bought by Mr. Lincoln
Step-by-step explanation:
Mr. Lincoln buys juice and water for the school picnic. A pack of 8 juice boxes costs $5. A pack of 6 water bottles costs $3. Mr. Lincoln spends $95 for 170 juice boxes and bottles of water.
Solution:
Let x represent the number of packs of juice boxes bought by Mr. Lincoln and let y represent the number of packs of water bottles bought by Mr. Lincoln.
Each pack of juice cost $5 while each pack of water cost $3. Mr. Lincoln spends $95, therefore:
5x + 3y = 95 (1)
Each pack of juice contain 8 juice boxes and each pack of water contain 6 water bottles. Since 170 juice boxes and bottles of water was bought, therefore:
8x + 6y = 170 (2)
Solving equations (1) and (2) simultaneously. Multiply equation (1) by 2 and then subtract equation (2) from the result to get:
2x = 20
x = 10
Substitute x = 10 in equation (1):
5(10) + 3y = 95
50 + 3y = 95
3y = 45
y = 15
Hence 10 packs of juice and 15 packs of water was bought by Mr. Lincoln
Show that the line 3y = 7 + 5x is perpendicular to the line 5y = 4 - 3x.
Answer:
Proven Below
Step-by-step explanation:
If we rearrange these equations, we get that 3y = 5x + 7 and that 5y = -3x + 4. Next, to find what y equals on both equations, we divide by 3 on both sides of the first equation, where we would get that y = 5/3x + 7/3, and then divide by 5 on both sides of the second equation, where we would get that y = -3/5x + 4/5. Now, to see if two lines are perpendicular to each other, we have to see if the slopes (The number being multiplied by x. Ex.) In the equation y = 3/4x + 4, the slope is 3/4) are opposite reciprocals (If you multiply them and they are equal to -1. Ex.) 3/4 * -4/3 is equal to -1, so they are opposite reciprocals). In this case, we have -3/5 and 5/3 as slopes, and -3/5 * 5/3 is equal to -1, so they are perpendicular.
Answer:
The slope of the first line is 5/3
The slope for the second one is -3/5
If you multiply the 2 slope you have to end up with - 1
So 5/3*(-3/5)=-15/15 which is - 1
So yes the lines are perpenducular
Challenge. A large university accepts 60% of the students who apply. Of the students the university accepts, 50% actually enroll. If 10,000 students apply, how many actually enroll?
Answer: 3,000
Step-by-step explanation:
Apply= 10,000
University Accept= 10,000*60% = 6,000
Enroll= 6,000*50% = 3,000
If you did not learn a different method for unit conversion in a previous class, respond to the following statement.
Explain how to use the unit-factor method to convert 120 pounds to kilograms.
Hint: 1 kilogram=2.2 pounds
To write the unit factors, use the / symbol, like this: 1 gallon/3.79 liters.
Answer:
120 pounds = 54.5 kilogram
Step-by-step explanation:
We know that,
1 kilogram=2.2 pounds
or
1 pound = (1/2.2) kilogram
We need to convert 120 pounds to kilograms.
[tex]120\ \text{pounds}=\dfrac{120}{2.2}\ \text{kilogram}\\\\=54.5 \text{kilogram}[/tex]
So, there are 54.5 kilograms in 120 pounds.
The population of Williston is currently 21,200 people. If the population
increases at an average rate of 415 people per year, which equation could
be used to find the approximate number of years it will take for the
population to reach 27000 people?
[tex]21200 + 415(y)[/tex]
[tex]27000 = 21200 + 415(y)[/tex]
[tex]27000 - 21200 = 21200 - 21200 + 415(y)[/tex]
[tex]5800 = 415(y)[/tex]
[tex] \frac{5800}{415} = \frac{415(y)}{415} [/tex]
[tex]13.9759..... = y[/tex]
[tex]it \: will \: take \: about \: 14.0 \: years[/tex]
At Franklis Incorporated, during the month of January, the direct labor rate variance was $3,000 unfavorable, and the direct labor efficiency variance was $5,000 favorable. Actual direct labor costs during January were $100,000. What was the standard direct labor applied to production at Franklis during the month of January?
Answer:
50
Step-by-step explanation:
Direct labour rate variance is $3,000
Direct labour efficiency variance is $5,000
Actual direct labour costs is $100,000
Therefore the standard direct labour production during the month of January can be calculated as follows
= 100,000/5,000-3,000
= 100,000/2,000
= 50
Please help
Write an equivalent expression for 3(3x + 5). Explain what property you used to write your equivalent expression.
Answer:
distributive property
9x+15
Step-by-step explanation:
The distributive property is whenever you have () and distribute until you have zero of these ()
The equivalent expression simply means write this equation differently.
A book sold 32,100 copies in its first month of release. Suppose this represents 9.3% of the number of copies sold to date. How many copies have been sold to date? Round your answer to the nearest whole number.
Answer:
Your answer.
345161.29
Thank you. And give my answer as Brainlist answer. Follow me for more
Step-by-step explanation:
Answer:
345,161
Step-by-step explanation:
It means that [tex]32,100=.093x[/tex]. Divide each side by .093, and you get 345,161, dropping the decimal, since you can't sell a fraction of a book.
A kitten is born weighing 90 grams and gains 10 grams per day for 14 days.
How many days, x, will it take the kitten to double its weight? Write and solve the equation.
Answer:
9 days
Step-by-step explanation:
Answer:
180=90+10x X = 9 days
Step-by-step explanation:
What is the LCM of 10 and 12?
Answer:
The LCM of 10 and 12 is 60
Step-by-step explanation:
Hope this helped! :)
Answer:
i think its 60
Step-by-step explanation:
what is the sum of 3 + 6 + 5
Answer:
The answer is 14
Step-by-step explanation:
3 + 6 = 9
9 + 5 = 14
A computer processor costs $96.00. It is expected that in 8 months the processor will cost 3/4 its current price. How much will it cost in 8 months?
72
Step-by-step explanation:
96 × 3/4 = 72
Hope this helps! (:
Multiplication is a method of finding the product of two or more numbers. After 8 months the cost of computer processor is $72
What is Multiplication?multiplication is a method of finding the product of two or more numbers.
It is given that,
A computer processor costs initially $96.00
It is expected that in 8 months the processor will cost 3/4 its current price.
Which means its cost will 3/4 times of 96.
Whenever we use times it means product or multiply.
Three by four times of ninety six
3/4 ×96.
288/4
72
Hence after 8 months the cost of computer processor is $72
To learn more on Multiplication click:
https://brainly.com/question/5992872
#SPJ2
Suppose that $1,000 is deposited into an account that yields 0.85% interest, compounded annually.
How much money will be in that account at the end of 4 years? Round your answer to the nearest
cent
=====================================
Work Shown:
A = P*(1+r/n)^(n*t)
A = 1000*(1+0.0085/1)^(1*4)
A = 1034.43596172007
A = 1034.44
---------------------
Notes:
P = 1000 is the deposit or principalr = 0.0085 is the decimal form of the annual interest rate of 0.85%; we can say 0.85% = 0.85/100 = 0.0085n = 1 represents how many times per year we're compounding the money (ie annually)t = 4 = number of yearsThe result of 1034.44 dollars is only possible if you do not withdraw any of the money in the four year time period.pls help its due now
Answer:
$2.25 is the cost of one pretzel
Step-by-step explanation:
6p/13.50
p=2.25
Could someone Please Help me with this?!?!?!?!
Answer:
-3
Step-by-step explanation:
To find slope use the equation [tex]y2 - y1 / x2 - x1[/tex]
1. Pick any two coordinate pairs to use in the equation. I'll choose (-2, 7) and (-1, 4).
2. Plug these coordinates into the formula. 4 - 7 / -1 - - 2
3. Solve! -3/ 1 = -3
4. The slope of this line is -3
a line passes through the points (4,23) and (8,27). write a linear funtion rule in terms of x and y for this line
Answer:
Step-by-step explanation:
(27 - 23)/(8 - 4)= 4/4= 1
y - 23 = x - 4
y = x + 19
X and Y
-5x+5y=-25
3x+2y=10
the X and Y is (4,-1) i need to know how to get the answer
Step-by-step explanation:
just substitute X and Y by their numerical values.
a) -5(4)+5(-1)=-25
-20-5= -25
-25= -25. true
b) 3(4)+2(-1) = 10
12 -2 =10
10=10. true
Please help meeeee!!!!!!!!! What’s the answer????
Answer:
The answer would be y= |x-2| -1.
When graphing the answer B would be a larger quantity but A is the correct answer. Hope this helps :))
HELP PLEASE!! WILL GIVE BRAINLIEST!!!
The slope is 5/7
Step-by-step explanation:
When you find slope you need to find both points and use the ordered pairs and subtract y1 - y2 and x2 - x1 and then you get your slope which is 5/7
sorry im bad at explaining
Are these two triangles congruent? *
Answer:
not congruent because none of the angles match
Answer:
Not Congruent
Step-by-step explanation:
No.
Two corresponding sides measure 8 and 4.
The other two corresponding sides measure 7 and 3.5.
In order to be congruent, each pair of corresponding sides has to be congruent.
write a linear equation of a line that goes through (8,0) and (-6,7)
Answer:
Line equation: y=−0.5x+4
Slope: -0.5
Intercept: 4
Step-by-step explanation:
3. The functions f and g are defined by f: x → ax – b where a and b are constants and g: x → X+4.
Given fg(2) = 9 and gf (1/2) = 2, find the value of a and of b.
hiii this is adddmath can anyone help with this please
Answer:
fg(2) = 9 means that f(g(2)) = 9
We know that g(2) = 6
So f(6) = 9 which means that
6a - b = 9 (note 1)
And we know that g(f(1/2)) = 2
And we know that f(1/2) = 1/2(a) - b
So g(1/2(a) - b) = 2
Meaning that 1/2(a) - b + 4 = 2
So 1/2(a) - b = - 2 (note 2)
Using note 1 and 2 we can solve the equation
11/2(a) = 11 so a = 2 and b = 3
Plz answer only if u know u are correct
Answer:
Y=-2x+6
Step-by-step explanation:
what's the value of
[tex](2 \sqrt{2}) {}^{2} [/tex]
chess ?
Answer:
jbtcxey5x6ivb
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
(2√2)^2
= (2^2× √2^2)
=(4×2)
=8
why is it so hard like math in general is hard has been for years
Answer:
Tell me about it..
Step-by-step explanation:
Step-by-step
explanation:
math is hard because is hard
what is the answer to this problem if you need to find out the area?
Answer:
17.28in
Step-by-step explanation:
To find the area of a triangle, multiply the base by the perpendicular height (the length from the point opposite the base, to the base, which makes a 90-degree angle with the base), and half it:
7.2*4.8=34.56
34.56/2=17.28