Answers
Answer:
a.(10,23)
b.(7,30)
e.(20,20)
Step-by-step explanation:
We are given that
x=Width of garden
y=Length of garden
According to question
[tex]x\geq 5[/tex]
[tex]y\geq 20[/tex]
Perimeter of rectangle=[tex]2(x+y)[/tex]
Where x=Width of rectangle
y=Length of rectangle
Fencing used =[tex]2(x+y)[/tex]
[tex]2(x+y)\leq 80[/tex]
First we change inequality into equality
[tex]x=5[/tex]...(1)
[tex]y=20[/tex]...(2)
[tex]2(x+y)=80[/tex]
[tex]x+y=40[/tex]...(3)
Substitute x=0 in equation (3)
[tex]y=40[/tex]
Substitute y=0 in equation (3)
[tex]x=40[/tex]
Substitute x=0 and y=0 in equation (3)
[tex]2(x+y)\leq 80[/tex]
[tex]0\leq 80[/tex]
It is true. Therefore, the shaded region below the line.
[tex]0\geq 5[/tex]
[tex]0\geq 20[/tex]
These are false equation .Therefore, the shaded region above the line.
Substitute x=5 in equation (3)
[tex]5+y=40[/tex]
[tex]y=40-5=35[/tex]
Substitute y=20 in equation (3)
[tex]x+20=40[/tex]
[tex]x=40-20=20[/tex]
Intersection point of equation (1) and (3) is (5,35) and intersect point of equation (2) and (3) is (20,20).
Now,
a.(10,23)
Substitute in
[tex]2(x+y)\leq 80[/tex]
[tex]2(10+23)\leq 80[/tex]
[tex]66\geq 80[/tex]
10>5 and 23>20
it satisfied all inequality.
Hence, it is a solution.
b.(7,30)
7>5
30>20
[tex]2(7+30)=74<80[/tex]
it satisfied all inequality.
Hence, it is a solution.
c.(18,25)
18>5
25>20
[tex]2(18+25)=86>80[/tex]
It does not satisfied third inequality
Hence, it is not a solution.
d.(8,35)
8>5
35>20
[tex]2(8+35)=86>80[/tex]
It does not satisfied third inequality
Hence, it is not a solution.
e.(20,20)
[tex]2(20+20)=80[/tex]
20>5
20=20
it satisfied all inequality.
Hence, it is a solution.
Related Questions
A car depreciates in value by 17% per year.
If it cost $23 000 when it was new, how much is it worth after 4 years?
Answers
Answer:
17%of 23000
17/100×23000
1 yrs depreciation is 3910
then
after 4 years depreciation is 4×3910
=15640
the worth of after 4 yrs is 23000-15640
=Rs 7360
The equation for the price of a baseball card that was bought for 5 dollars and has appreciated 5% yearly. Find the yearly calue of the card 25 years later
Answers
Answer:
The yearly value of the card 25 years later is $16.93.
Step-by-step explanation:
You can use the following formula to find the future value:
FV=PV(1+r)^n
FV= future value
PV= present value= 5
r=rate= 0.05
n=number of periods of time= 25
Now, you can replace the values in the formula:
FV=5(1+0.05)^25
FV=5(1.05)^25
FV=16.93
According to this, the answer is that the yearly value of the card 25 years later is $16.93.
Label ABC with the following information.
AB = 35
AC = 62
Find m/c.
Answers
Answer:
m<C = 34.4 °
Step-by-step explanation:
From the question given above, the following data were obtained:
Opposite = AB = 35
Hypothenus = AC = 62
Angle C =?
The value of m<C can be obtained by using sine ratio as illustrated below:
Sine C = Opposite /Hypothenus
Sine C = 35 / 62
Sine C = 0.5645
Take the inverse of sine
C = Sine¯¹ 0.5645
C = 34.4 °
Thus,
m<C = 34.4 °
pls help me with this?
Answers
Answer:
C. 3
Step-by-step explanation:
A^2+B^2=C^2
A^2+4^2=5^2
A^2+16=25
A^2=9
A=3
An isosceles triangle has an angle that measures 78.Which other angles could be in that
isosceles triangle? Choose all that apply.
HELP PLEASE
Answers
Answer:
78, 51, 51
or
78, 78, 24
Step-by-step explanation:
78, 51, 51
or
78, 78, 24
Please help will give Brainly
Answers
x³ = 1/7²
∛(x³) = 1/∛7² = 1/7^(⅔) = 7^(-⅔)
x = 7^(-⅔)
The answer appears to be C, although there is an unexplained “⅔” below it.
please help me if you can pleasee
Answers
Answer:
Slope for #17 is 3/2
Slope for #18 is -18
Step-by-step explanation:
PLWASE HELP ME THIS IS DUE TODAY
Find the area of the shaded region. Use 3.14 for it. 8 cm 8 cm
Answers
Remember: Area of the circle= 3.14 x r^2
if you don't understand some passage write in the comments of my answer ;)
In ΔFGH, g = 7.6 inches, h = 3.2 inches and ∠F=160°. Find the length of f, to the nearest 10th of an inch.
Answers
In ΔFGH, g = 7.6 inches, h = 3.2 inches and ∠F=160°. Find the length of f, to the nearest 10th of an inch.
=10.7
The length of f from the given triangle FGH is 10.7 inches.
What is cosine rule?The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them. The law of cosine states that: a² = b² + c² − 2bc·cosA.
Given that, in ΔFGH, g = 7.6 inches, h = 3.2 inches and ∠F=160°.
Here, f² = 7.6² + 3.2² − 2×7.6×3.2×cos160°
f² = 57.76+10.24-48.64×(- 0.9396)
f² = 68+45.70
f² = 113.7
f = √113.7
f = 10.7 inches
Therefore, the length of f is 10.7 inches.
Learn more about the cosine rule here:
https://brainly.com/question/28716982.
#SPJ3
pa help po pls ASAP plssss
Answers
On A type Fa,La,Do on B Type Mi,So,Ti
Lin's father is paying for a $20 meal. He has a 30%-off coupon for the meal. After the discount, a 8% sales tax is applied.
What does Lin's father pay for the meal? Just type the number answer (without the dollar sign), and be prepared to explain or
show your reasoning.
Answers
Answer:
15.12
Step-by-step explanation:
Cost of meal = $20
Discount (coupon) = 30%
Amount of discount = 30% of $20
= 30/100 * 20
= 0.3 * 20
= $6
Amount paid after discount= initial cost of meal - discount
= $20 -$6
= $14
Sales tax =8%
Amount of sales tax = 8% of $14
= 8/100 * 14
= 0.08 * 14
= $1.12
Total amount paid = Amount paid after discount + Amount of sales tax
= $14 + $1.12
= 15.12
how do I explain this?
Answers
Answer:
Step-by-step explanation:
To do this, we have to prove that ∠1=∠5. We can do this using the corresponding angles theorem, which states that these two angles are congruent. Since ∠G=∠1, we can say ∠G=∠1=∠5, and as this, ∠G=∠5
Name the ordered pair for Q
Answers
The line models the cost of renting a bike. It costs $2 per hour plus a $4 deposit. Write an equation in slope-intercept form for the line where x is the number of hours a bike is rented and y is the total cost of renting a bike. How much does it cost to rent a bike for 3 hours?
Answers
Answer:
Step-by-step explanation:
2 votes
A Starbucks manager has x pounds of coffee in stock. He sells 15 pounds and then
receives a shipment weighing 2y pounds. Which expression represents the weight of the
has?
Highlight
X-15-2y
O X+ 15 + 2y
O
x + 15 - 26
O
X - 15 + 2y
Answers
Answer: x - 15 + 2y
Step-by-step explanation:
A Starbucks manager has x pounds of coffee in stock and then sells 15 pounds. The amount of pounds of coffee left will be:
= x - 15
He then receives a shipment weighing 2y pounds. This means that the weight of the coffee he has will then be:
= x - 15 + 2y
In the diagram, which pair of angles are vertical angles?
•<1 and <2
•<4 and<6
•<6 and <8
•<5 and <3
Answers
Solve C=AB+D for B
• C-D =B
—————-
A
•AC-D =B
•C - D=B
——
A
•C+D =B
———
A
(If you don’t understand what the options are look at the photo pls <3)
Answers
Step-by-step explanation:
I think u want this... hope u have great day.............
Answer:
I have made it in above picture
it is option A
I need to get my grade up please help
Answers
Answer:
15-7
3^2
40/8
8x2
5+9
14+16
Step-by-step explanation:
Please help and make it right.....
Answers
Answer:
-1
Step-by-step explanation:
6/7-1=11/14 11/14-1=5/7 and so on.
12/14, 11/14, 10/14, 9/14, next term is 8/24 which is simplified to 1/3
The triangles are similar . What is the value of X
Answers
Answer:
16
Step-by-step explanation:
There are 2 different ways to solve this
1) The bigger triangle is 4 times bigger than the smaller one
5 x 4 = 20
3 x 4 = 12
From this method you can see they all connect so you take the smaller triangles value of 4 and multiply it by 4
4 x 4 = 16
2) Pythagorean theorem and reorganizing the formula so that the a value is found
[tex]a = \sqrt{c^{2} -b^{2} }[/tex]
Evaluate the expression 9z – 4 for z = 3.
Answers
Answer:
27 is the final answer
Step-by-step explanation:
9z-4=
9(3)-4=
27-4=
Snowden has a new park designed to contain two circular gardens. Garden A has a diameter of
50 m, and garden B has a diameter of 70 m. If the gardener wants to fertilize the surface area
of both gardens, how much surface will he cover? (Write in terms of 3.14) 5
Answers
Answer:
5,809 m^2
Step-by-step explanation:
50/2=25 m
25^2 times 3.14=1,962.5 m^2
70/2=35 m
35^2 times 3.14=3,846.5 m^2
1,962.5+3,846.5=5,809 m^2
Which answer choice gives three lengths that WILL form a triangle when put
together?
5,7,13
12, 18, 35
107,8,9
4.5.10
Answers
Answer:
none of them
Step-by-step explanation:
in order for them to be triangle lengths the two shorter size added together have to be greater than the longest side and in each answer choice if you add the two shorter sides none of them are greater than the longer side if that makes sense
Answer: what you need to find is the one where the two lowest numbers add up to be bigger than the biggest number. For example, if it was 3,7,5 then those could be right because 5+3=8 and 8 is bigger than 7. It is supposed to be that any two added is bigger than the third, but it's mist important that the smaller numbers equal more than the third
Step-by-step explanation:
Solve the system of equations by graphing. [x+y=4 7x-6y=54
Answers
Answer:
(x,y)=(6,-2)Step-by-step explanation:
to understand thisyou need to know about:linear equationsystem of linear equationsolving system of linear equation by graphingPEMDASgiven:[tex] \begin{cases} \sf x + y = 4 \\ \sf7x - 6y = 54 \end{cases}[/tex]tips and formulas:to solve system of linear equation by graphing we have to simplify the linear equations to slope-intercept formslope intercept form:y=mx+blet's solve:let's simplify first linear equation to slope -intercept form
x+y=4
y=-x+4
table for this equation
see the first attachment picturelet's simplify first linear equation to slope -intercept form
[tex] \sf7x - 6y = 54[/tex]
[tex] \sf - 6y = - 7x + 54 \\ \sf \frac{ - 6y}{ - 6} = \frac{ - 7}{ - 6} x + \frac{54}{ - 6} \\ \sf y = \frac{7}{6} x - 9[/tex]
table for this equation
see the second attached picturesolutions by graphing the system of linear equation
see the last attached picturenote: the red line is for first equation as well as the green line is for second equation and the black dot is the coordinates of the solutions of x and y
A 50 centimeter piece of wire is bent into a circle. What is the area of this circle?
Answers
Answer:
198.95 cm²
Step-by-step explanation:
Circumference = 50cm
C = πD
D = C/π
r = D/2
r = 50/π/2
r= 7.957747…..cm
Area = π r²
A = π x 7.957747….²
A = 198.95 cm² (2dp)
Consider the following pair of equations:
y = −2x + 8
y = x − 1
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.
Answers
Answer:
y+2x=8.....(1)
y-x=-1.......(2)
in equation (2) make x the subject of the formula x=y+1
substitute y+1 for x in equation (1)
y+2(y+1)=8
y+2y+2=8
3y=8-2
y=2
substitute 2 for y in equation 2
y-x=-1
2-x=-1
x=2+1
x=3
y=2 x=3
help plz!! i’ll give brainliest
Answers
Answer:
answer choice a! (16)
Step-by-step explanation:
What information is necessary to prove two triangles are similar by the SAS similarity theorem?
Answers
Answer:
The SAS criterion for triangle similarity states that if two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar.
Step-by-step explanation:
Answer:
You need to show that two sides of one triangle are proportional to two corresponding sides of another triangle, with the included corresponding angles being congruent.
Step-by-step explanation:
What value(s) of x will make x2 = 36 true? O A. 8 and -8 O.B. 6 C. 6 and -6 D. 6
Answers
Answer:
C and D
Step-by-step explanation:
If you mean x^2 (x squared), then C and D are both right.
can someone help me out please. its due soon and i dont have alot of time
Answers
Answer:
heyy there sorry i wish i could help i think its the first one!!!
Step-by-step explanation: