[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
[tex]\huge\underline{\sf{\red{Problem:}}}[/tex]
A rectangular vegetable farm measures 45 m by 15 m. It has also a path of 1m wide. What is the area of the path?[tex]\underline{\sf{\red{Formula\:for\: area\: of \:rectangular\: form:}}}[/tex]
[tex]\quad\quad\quad\quad\boxed{\sf{\red{➢} \: \sf{a=l×b}} }[/tex]
[tex]\underline{\sf{\red{Given:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{Length\:of\:rectangular\:form = 45m} }[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{Breadth\:of\:rectangular\:form = 15m} }[/tex]
[tex]\underline{\sf{\red{Solution:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=l×b} }[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=45m×15m} }[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=\boxed{\sf{{675m}^{2}}}} }[/tex]
[tex]\underline{\sf{\red{For\:rectangular\: form\:with\:path:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{Length\:of\:rectangular\:form = 45m+2=47m} }[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{Breadth\:of\:rectangular\:form = 15m+2=17m} }[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=l×b} }[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=47m×17m} }[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=\boxed{\sf{{799m}^{2}}}} }[/tex]
[tex]\huge\underline{\sf{\red{Area\:of\:path:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a={799m}^{2}-{675m}^{2}} }[/tex]
[tex]\quad\quad\quad\quad\boxed{\sf{\red{➢} \: \sf{a={124m}^{2}} }}[/tex]
[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]
[tex]\huge\quad\quad\underline{\boxed{\sf{\red{a={124m}^{2}} }}}[/tex]
[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
[tex]\sf{\red{︎✰}ShineBrighter\red{︎✰}}[/tex]
[tex]\sf{✍︎ C.Rose\red{❀}}[/tex]
ฅ^•ﻌ•^ฅ
Which of the following proves trinagle ABC =~ trinagle DEF? Please help me step-by-step with this please, and if you give just a straight answer with no proof then Ima just assume that you are here answering incorrectly and are just here for the points!!
Answer:
C. ASA
Step-by-step explanation:
The details of the given parameters are;
Angle ∠B of ΔABC is congruent to angle ∠E of triangle ΔDEF,
Angle ∠C of ΔABC is congruent to angle ∠F of triangle ΔDEF
Side [tex]\overline{BC}[/tex] of ΔABC is congruent to side [tex]\overline {EF}[/tex] of triangle ΔDEF
Two angles (∠B and ∠C) and the included side (side [tex]\overline{BC}[/tex]) of ΔABC are congruent to the corresponding two angles and included side (∠D, ∠E and side [tex]\overline {EF}[/tex]) of ΔDEF, therefore, the two triangles are congruent by the Angle-Side-Angle, ASA, rule of congruency
help help help help pls
Answer:
The length of AB is approximately 6.07 m
Step-by-step explanation:
The given dimensions of the triangle are;
The value of x = 7.7 m
The measure of angle, θ = 52°
The length of side AB = Required
The given triangle ΔABC is a right triangle, with the following sides;
AC = x = The hypotenuse (opposite to right angle) side
(Leg) AB = The opposite side to the reference angle, θ
(Leg) BC = The adjacent side to the reference angle, θ
By trigonometric ratio, we have;
[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{AB}{x}[/tex]
Therefore;
[tex]sin(52^{\circ}) = \dfrac{AB}{7.7}[/tex]
AB = 7.7 × sin(52°) ≈ 6.07
The length of AB ≈ 6.07 m.
Complete the table fraction | decimal
Answer:
1/5=0.2
0.3=3/10
1/2=0.5
7/10=0.7
3/4=0.75
3x^2 + 14x
how do you factories this
Answer:
x(3x+14)
Step-by-step explanation:
what do those terms share? they share the letter "x"
therefore we multiply x by 3x^2/x + 14x/x
3x^2/x = 3x and 14x/x = 14
the force which pulls or tends to pull a body is called____
Answer:
force of gravity
hope it helps
pls mark me as the brainliest
thank u
Answer:
pulling force
Step-by-step explanation:
There is no special name for that.
Physics is usually just concerned with "forces", and doesn't specify whether the force pushes or pulls.
If you want to be more specific, you can just call it a "pulling force".
I hoped this was satisfying!
For #4 - 5, the two polygons are similar. Find the
values of x and y.
60°
18
12
22
x + 4
4.
Answer:
x = 10.7
y = 120°
Step-by-step explanation:
If two polygons are similar, their corresponding angles would be the same, while the ratio of their corresponding sides will be equal.
Therefore, the angles of the two polygons given are equal, while the ratio of their corresponding side length is equal.
Thus:
✔️Find x:
22/(x + 4) = 18/12
22/(x + 4) = 3/2
Cross multiply
(x + 4)3 = 2*22
3x + 12 = 44
Subtract 12 from each side
3x = 44 - 12
3x = 32
x = 32/3
x = 10.7
✔️Find y:
y + 60° = 180° (adjacent angles are supplementary)
y = 180 - 60
y = 120°
The polynomial is missing the coefficient of the third and last terms.
8x^3 - 144x²y + _xy² - _y^3
In order to divide polynomials using synthetic division, you must be dividing by a linear expression and the leading coefficient (first number) must be a 1. For example, you can use synthetic division to divide by x + 3 or x – 6, but you cannot use synthetic division to divide by x2 + 2 or 3x2 – x + 7. If the leading coefficient is not a 1, then you must divide by the leading coefficient to turn the leading coefficient into a 1. For example, 3x – 1 would becomex minus 1/3 and 2x + 7 would becomex plus 7/2. If synthetic division will not work, then you must use long division.
Which graph represents y as a function of x?
Answer:
A
Step-by-step explanation:
By vertical line test, if you draw any vertical line, except for A, all graph meet at more than two points. So, graph A represents y as a function of x.
i have no clue what i’m doing
Answer:
c(x) = 16x + 22736
R(x) = -2x^2 + 524x
[ -2x^2 + 508x - 22736] = 0
Factored: f(x) = -2(x - 196)(x - 58)
58 to break even
Step-by-step explanation:
Your cost is the amount it cost you to "make" stuff.
You have fixed and variable costs (cost of oven is fixed cost of flower and sugar is variable to make cupcakes)
your cost is c(x) = 16x + 22736
"your oven and building cost $22736 per month and you use $16 worth of sugar butter flour to make one cupcake ( it must be a huge one) ...
your revenue is the amount of money that "comes into your business"...
the amount of money in the cash register.... Note: this is only money IN you still have to pay for the building, sugar flour etc.
R(x) = -2x^2 + 524x
Note: the minus and the square basically say that the more you charge the less cupcakes you will sell...
Profit is the money in minus the money out
P - R - E [ -2x^2 + 524x ] - [16x + 22736]
the break even point is where the two functions are the same
in other words where C=R or R-C=0
[ -2x^2 + 524x ] = [16x + 22736]
[ -2x^2 + 508x - 22736] = 0
Factored: f(x) = -2(x - 196)(x - 58)
Answer:
Step-by-step explanation:
C(x)=16x+22736
R(x)=-2x²+524x
P(x)=R(x)-C(x)
=-2x²+524x-16x-22736
=-2x²+508-22736
when profit is zero then no gain or loss.
so -2x²+508x-22736=0
or x²-254x+11368=0
196+58=254
196×58=11368
x²-54x-196x+11368=0
x(x-54)-196(x-54)=0
(x-54)(x-196)=0
x=54,196
so x=54 is the smallest number of bins to break even.
write the equation of a line with that passes through given point and gas the given slope. Answer in general form
Step-by-step explanation:
c) since m = undefined => the equation is
x = -2
d) the equation is
y-2= -1/7 (x+7)
=> y = -1/7 x -1+2
<=> y = -1/7 x + 1
YALL REALLY NEED TO
HELP MEEEE
determine if the triangles are similar. Why are they similar or not similar ?
please show work
Answer:
Not similar
Step-by-step explanation:
In triangle MLN & WXY,
Right angles - > 1
There is nothing common in these 2 triangles other than (1)
Therefore,
Not similar
PLEASE HELP. (Will Mark Brainliest)
Answer:
Step-by-step explanation:
17/60 = 0.2833333333..... 3 repeating
25/60 = .025 terminating
31/44 = 0.7045454545..... 45 repeating
54/72 = 0.75 terminating
Which function has the same range as
f(x)=-2 Sqrt X-3 +8?
g(x)= VX-3-8
g(x) = VX-3+8
g(x)=- Vx+3+8
g(x)=√x-3-8
Answer:
C
Step-by-step explanation:
The option that has the same range than f(x) is:
[tex]g(x) = -\sqrt{x + 3} + 8[/tex]
What is the range of the given function?
Here we first have the function:
[tex]f(x) = -2*\sqrt{x - 3} + 8[/tex]
Remember that the square root only can be evaluated arguments equal or larger than zero.
So the minimum value of x that we can use is x = 3.
[tex]f(3) = -2*\sqrt{3 - 3} + 8 = 8[/tex]
And as x increases, the outcome will decrease (because the square root is being mulitiplyed by a negative number). So we can conclude that the range is y ≤ 8.
Which other function has the same range?So, we need another function that has a maximum value in the range equal to positive 8, so we need to have a constant equal to 8, and a square root being multiplyed by a negative number.
The option that meets these two conditions is the third one:
[tex]g(x) = -\sqrt{x + 3} + 8[/tex]
If you want to learn more about domains and ranges, you can read:
https://brainly.com/question/10197594
Brian spends 3 5 of his wages on rent and 1 3 on food. If he makes £735 per week, how much money does he have left?
Answer :
Brian has $49 left.
Step by step explanation :
Step 1 : Find how much money Brian spends on rent and food.
First question we should be asking is what is 3/5 of 735?
Let's find that.
[tex]\frac{3}{5}[/tex] * [tex]\frac{735}{1}[/tex]
= [tex]\frac{(3)(735)}{(5)(1)}[/tex]
= [tex]\frac{2205}{5}[/tex]
= 441
We know Brian spends $441 on rent. Now we find how much he spends on food.
[tex]\frac{1}{3} * \frac{735}{1}[/tex]
= [tex]\frac{(1)(735)}{(3)(1)}[/tex]
= [tex]\frac{735}{3}[/tex]
= 245
Brian spends $245 on food.
Step 2 : Add what he spends on rent and food together.
$441 + $245 = $686
Step 3 : To find out how much money Brian has left, we subtract $686 from $735.
$735 - $686 = $49
Conclusion : Brian has $49 left.
Hope this helps, please mark brainliest if possible. Have a nice day.
Ranu has 200 stamps and Cathy has 132 stamps. How many stamps must Ranu give Cathy so that they will have the same number of stamps?
Answer:
34
Step-by-step explanation:
let x = number of stamps ranu gives out and the number of stamps cathy receives
200 - x = 132 + x
combine like term s
200 - 132 = 2x
68 = 2x
x = 34
select all explanation that prove triangle ABC is congruent to triangle A'B'C
Answer:
AB = A'B'
BC = B'C'
AC = A'C'
angle ABC = angle A'B'C'
angle CAB = angle C'A'B'
angle CBA = angle C'A'B'
Step-by-step explanation:
use different axomes to show relation,
Answer: Reflect ABC across the vertical line passing through C
Step-by-step explanation:
PLEASE HELP ME I NEED AN ANSWER ASAP!! <3
(photo included)
Answer: B.
tan 45=perpendicular/base
1=8/AB
So, AB=8
Since it's a right-angled triangle, BC is a hypotenuse.
BC=√(AC^2+AB^2)
=r√(8^2+*^2)
=8 √2
what's the difference between 7/10 and 4/15
Answer:
Difference is the answer to a subtraction problem. If you are on here, you can probably use a calculator. If you go to the desmos scientific calculator, you can type it in and it will give you your answer as a fraction.
Step-by-step explanation:
Answer:
13/30
Step-by-step explanation:
7/10 - 4/15
Get a common denominator of 30
7/10 *3/3 = 21/30
4/15 *2/2 = 8/30
21/30 -8/30
13/30
Using the right triangle below. What is the name for side AB?
A) Hypotenuse
B) Adjacent
C) Opposite
D) None of the above
Answer:
A.Hypotenuse
Step-by-step explanation:
Side AB is the longest side of the triangle
The longest side of a triangle is known as the hypotenuse
Solve using the Applicable Variation
The height of a TV varies directly with its width. If a TV with a width of 16 inches has a height of 9 inches, find the width of a TV with a height of 20.25 inches.
I'm so lost :'(
Answer:
36
Step-by-step explanation:
9/16 = 20.25/?
16x20.25÷9= 36
Please give a real answer.
No Docs/No files/No link
I will rate a 5-star and give the brainiest.
Answer:
3.5 m
Step-by-step explanation:
PQ = 5/(5+5) × 7
= 5/10 × 7
= 3.5 m
jessica's piggy bank has 100 coins, including pennies, nickels, dimes and quarters/ together they are worth $8.36. there are nine more dimes than pennies and five times as many nickels as pennies. How many of each kind of coin does jessica have in her piggy bank?
Answer:
the bank contains 30 nickels and 70 dimes.
Step-by-step explanation:
( 15points)Help!!! I need to finish this less than 10 minutes
PlzzPlease help me bunnies <3
No monkey business plz. Or I will report
Okay! When you are ready, let me know what you need help with. Just comment this answer!
What is the question here?
hope your having a good day!
Answer:
yes im am gydyd6rrfxjdjsjwjejwhwwehebrhrhhrrhrhrhdhrhehrhehrhrhdhdhdhdhddhdgdgdhr
Find the probability that a randomly
selected point within the circle falls
in the red shaded area.
Ir = 4cm
2.5 cm
3 cm
3 cm
[?]%
Round to the nearest tenth of a percent.
Answer:
38.8%
Step-by-step explanation:
Area of the triange:
6*6.5*.5= 19.5
Area of the circle:
π*16= 16π
19.5/16π= .387940174
38.8%
Answer:
38.8%
Step-by-step explanation:
Can someone give me the answer ?!?
Answer:
25%
Step-by-step explanation:
Probability = # of favorable outcomes / possible outcomes
favorable outcomes is what we want to happen ( throwing more than 3 pitches )
So to find the # of favorable outcomes we must find the frequency that the pitcher throws more than 3 pitches ( note: frequency of throwing 3 pitches is not included)
There are two possible outcomes of the pitcher pitching more than 3 pitches, 4 pitches having a frequency of 15, and 5 pitches which has a frequency of 10
So # of favorable outcomes = 10 + 15 = 25
Now we want to find the # of possible outcomes.
To do so we simply add the frequencies of each possible outcome.
15 + 20 + 40 + 15 + 10 = 100
So there are a total of 100 possible outcomes
Finally to find the probability of the pitcher throwing more than 3 pitches we divide favorable outcomes ( 25) by possible outcomes (100)
Our answer = 25/100 which can be converted into a percentage as 25%
What value of m makes the equation 8am/4a5=2a6 true?
Answer:
m = 11
Step-by-step explanation:
11 - 5 = 6
Solve for X:
-2(x+2) < 14
Answer:
answer is 45 + 5 so it's 50
Answer:
-2X-4<14
-2X<18
X>9
Step-by-step explanation:
Triangles ABC and JKL are similar. Find the missing sides.
Answer:
option A
Step-by-step explanation:
the bigger triangle is two times the size of the small one
At 4 p.m., the temperature started to change drastically. Each hour, for three hours the temperature decreased by 7°F
Which expression best shows another way to write the product for the temperature change?
07-7-7
(-1)(7+7+7)
Answer:
07-7-7
Step-by-step explanation:
