Answer:
10.2%
Step-by-step explanation:
($325) / ($3,200) = 0.102 x 100 = 10.2%
Divide the amount for utilities by the total amount of rent.
Emir is standing in a treehouse and looking down at a swingset in the yard next door. The angle of depression from Emir's eyeline to the swing set is 31. 43°, and Emir is 11 feet from the ground. How many feet is the base of the tree from the swingset? Round your answer to the nearest foot. 15 feet 20 feet 18 feet 24 feet.
Tangent is the ratio of perpendicular to the base. The distance between the base of the tree and the swing set is 18 feet.
What is Tangent(Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
Base is the adjacent smaller side of the angle θ.
As it is given that the height of the tree is 11 feet, while the angle of depression is 31.43°, therefore, the tangent can be written as,
[tex]\rm{Tangent(31.43^o) = \dfrac{AB}{BC}[/tex]
Where BC is the length between the base of the tree and the AB is the height of the tree.
[tex]\rm Tangent(31.43^o) = \dfrac{11}{BC}\\\\BC = 17.999 \approx 18[/tex]
Hence, the distance between the base of the tree and the swing set is 18 feet.
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hi i'm stup*d at math and im not sure :(
Answer:
I think standard form would be best because it is simplest.
Step-by-step explanation:
hope this helps
Answer: Intercept Form
Step-by-step explanation:
There are three methods for determining the minimum value of a quadratic equation. Each of them can be useful in determining the minimum. The first way is by using a graph. You can find the minimum value visually by graphing the equation and finding the minimum point on the graph. The y-value of the vertex of the graph will be the minimum. This is especially easy when you have a graphing calculator that can do most of the work for you.
Write the point slope form of the equation of the line through the given points: (-4,-1) and (-3,1)
PLEASE EXPLAIN. STEP BY STEP INSTRUCTIONS
Step-by-step explanation:
the general point-slope form is
y - y1 = m(x - x1)
with (x1, y1) being a point on the line, and m being the slope (the incline of the line).
we have the point. we can pick one from the 2 choices, I typical go for the one with smaller values. so, I will use (-3, 1).
now we need to calculate the slope.
the slope is the ratio "y coordinate change / x coordinate change" when going from one point on the line to another.
so, for our 2 points we see
x changes by +1 (from -4 to -3).
y changes by +2 (from -1 to +1).
and the slope is +2/+1 = 2
therefore our equation is
y - 1 = 2(x - -3)
or simplified
y - 1 = 2(x + 3)
I NEED HELP ASAP
Donovan has 4 pets. He wants to find out how many of the 400 seventh graders at his school also have exactly 4 pets. Which is the best method for him to use?
Step-by-step explanation:
The Bake Stars need to arrange 718 pupcakes on trays for a pooch pool party.
If each tray can hold 9 pupcakes, about how many trays will the bakery need?
Choose the best estimate.
1) 4
2) 20
3) 60
4)40
3) 60
Step-by-step explanation:
718 ÷ 9 = 79.78
So, if you round to the nearest whole number its about 80, the closest answer from your options is 60 so I think the best estimate is number three: 60.
arrange 1/7 4/14 2/3 in ascending order
Answer
Its already in order: 1/7 4/14 2/3
Step-by-step explanation:
Because the common denominator for all three is 42, which turns the fractions to 6/42, 12/42, and 28/42 making it easier to place in order
ANSWER:
1/7,4/14,2/3.......................
A quadrilateral has vertices at
Answer:
c
Step-by-step explanation:
because you add 3 to -1 and get 2 and you subtract - 4 to 4
2. A rancher needs to cut a piece of rope into two
pieces. One piece must be three times the size of
the other piece. The rope is 48 cm long before it is
cut. How long will the shorter piece of rope be?
rights reserved.
Answer:
I think the answer is 3
Step-by-step explanation
16 x 3 = 48
Which expression is equivalent to (3x^2 + x + 8) - (x^2- 9)?
Answer:
First one
2x²+x-1
Step-by-step explanation:
3x²-x²=2x²
x
8-9=-1
2x²+x-1
what is 4 times b = 14
Answer:
b=3.5
Step-by-step explanation:
Answer:
3.5x-1
Step-by-step explanation:
Solving:
4bx = 14
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Divide each side by '4x'.
b = 3.5x-1
Simplifying
b = 3.5x-1
Martha is making her favorite punch for the school dance. The directions call for 5 cups of water for every ½ cup of punch mix. What is the number of cups of water she will need for 6 cups of punch mix?
Answer:
60
Step-by-step explanation:
5water=1/2punch multiply by 12 to get 6 cups of punch so 5 x 12=60 and 1/2 x 12=6
The value of x of the polygon
Answer:
x=97°
Step-by-step explanation:
(n-2)180°
(5-2)180°
3×180°=540°
total angle=540°
136+127+108+72+x=540°
You have 36 apples to share with your friends. If each friend gets exactly 2 apples, which equation could you use to solve for the number of friends, n?
Answer:
15 i belive cause you would need that much people
Put these into Slope-Intercept Form
x + y = 1
3x + 5y = 15
Answer:
y = −x + 1
y = −3/5x + 3
Evaluate p=4 q =2 r=3 s= - 7
Answer:
26
Step-by-step explanation:
solution;
here,
=(2p+3q)(P-q)
=(2*4+3*2)(4-2)
=(8+6)(2)
=13*2
=26
Which is the coefficient of the expression 82 + 4 - 3x ?
Answer:
86 - 3x
Step-by-step explanation:
1- Calculate
Jenny, Demi, and Shaina buy a 21-inch gourmet sandwich and take it back to their apartment. Since
they have different appetites, they cut the sandwich so that Demi gets a piece that is double the size of
Jenny’s piece and Shaina gets a piece that is 1 inch longer than Jenny’s piece. Find the length of each
person’s piece of the sandwich.
Answer:
the length of inch is 20
Step-by-step explanation:
because 21 inch -20=1
Ben Frank is an electrician who installs lighting fixtures. He charges (in dollars) his clients 15h + 40f, h, plus, 40, f where hhh is the number of hours worked and f is the number of fixtures installed.
How much does Ben Frank charge when he works 7 hours and installs 9 fixtures?
Answer:
15h+40f
15(7)+40(9)
105+360
465
465 fixtures
Step-by-step explanation:
Answer: 465 fixtures
Step-by-step explanation:15h+40f15(7)+
40(9)105+
360465= 465 fixtures
Evaluate
3
(
x
−
1
)
2
if
x
=
4.
9
9
18
18
27
27
45
Answer:
3(x-1) 2 if x=4,99
3(499-1)2
3(4,98)2
14.94 + 2 =16.94
Step-by-step explanation:
A blizzard occurred on the East Coast during January, 2016. Snowfall totals from the storm
were recorded for Washington, D.C. and are shown in the table below.
Washington, D.C.
Time Snow (inches)
(1 a.m. 1
3 a.m.
5
(6 a.m. (11)
(12 noon
33
(p.m,
36
Which interval, 1 a.m. to 12 noon or 6 a.m. to 3 p.m., has the greater rate of snowfall, in
inches per hour? Justify your answer.
Interval, 1 a.m. to 12 noon has the greater rate of snowfall, in inches per hour.
What is interval?First step
1am - 12 noon will gives us 11 hours
6am - 3pm will gives us 9 hours
Second step
Inches per hour for 11 hours
=33-1/11
=32/11
=2.91 inches per hour
Inches per hour for 9 hours
=36-11/9
=25/11
=2.27 inches per hour
Therefore based on the above analysis Interval, 1 a.m. to 12 noon has the greater rate of snowfall, in inches per hour.
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An item is regularly priced at $75 It is now priced at a discount of 60% off the regular price. What is the price now?
Answer:
Price is $ 30
Step-by-step explanation:
Regular price = $75
Discount = 60%
First we find the 60% of 75
( 75 × 60 ) ÷ 100 = 45
Now this answer with regular price
75 - 45 = 30
MARK BRAINLIEST IF YOU UNDERSTAND
Answer:
$ 30
Step-by-step explanation:
Regular price ⇒ $ 75
Discount ⇒ 60% off the regular price
First let us find the discount that they will give.
Let us solve now.
75 × 60% = $45
And now let us find the new price of the item.
For that you have to subtract the discount by the regular price.
New price = Regular price - Discount
= $ 75 - $ 45
= $ 30
Hope this helps you :-)
Let me know if you have any other questions :)
Anyone at least 48 inches may ride the ferris wheel. Represent this statement with an inequality.
Answer:
x ≥ 48
Step-by-step explanation:
what is the conjunction of you do that agian ill be very angry
Answer:
you do that again and I'll be very angryStep-by-step explanation:
hope it helps you <3What is the equation of the line that passes through the point (-2, 1) and has a
slope of -5/2?
Answer:
y = -5/2x - 4
Step-by-step explanation:
When given a point and a slope, we use slope-intercept formula:
y - y1 = m (x - x1)
m = slope point: (-2,1)
y - y1 = m (x - x1)
y - 1 = -5/2 (x - (-2))
y -1 = -5/2x - 5
+ 1 + 1
y = -5/2x - 4
To check our answer, I attached the graph.
Hope this helps!
QUESTION IN PIC- 20 POINTS :)
Answer:
CD = 3 -√3
Step-by-step explanation:
The ratio of leg lengths in a 30°-60°-90° triangle is ...
1 : √3 : 2
The longest leg of ΔABD is 2√3, so we must multiply all of these ratio values by √3 to see the actual lengths of the triangle sides.
AB : BD : AD = 1 : √3 : 2 = √3 : 3 : 2√3
That is ...
AB = √3
BD = 3
__
The lengths of the legs in isosceles right triangle ABC are the same, so ...
BC = AB = √3
Then the length of interest is ...
CD = BD -BC
CD = 3 -√3 . . . . . . . a=3, b=-1
You're locked out of your house and only open window is on the second floor, 30 feet above the ground. You need to borrow a ladder from one of your neighbors. There's a flower garden along the edge of the house, so you'll have to place the ladder 12 feet from the house. What length of ladder do you need to reach the window?
Answer:
42 ft minimum.
Step-by-step explanation:
you need to place the ladder 12ft from the house and it is 30 ft above the ground.
Answer:
IVE BEEN LOCKED OUT OF MY HOUSE BEFORE.
Step-by-step explanation:
42 ft
Brian borrowed $22,000 to buy a car. The rate of interest was 9.5% and the length of time was 5 years. What will be Brian's total cost for his car?
Answer:
Compound interest
$34633.25
Step-by-step explanation:
Everything starts of at 100% and the rate of interest is 9.5% so we add them on=109.5%
Now we want this percentage as a decimal so we divide by 100 = 1.095 this our multiplier
Then get the original amount that you borrowed = 6000 times by the multipler=1.095 to the power of number of years so
6000 multipled by 1.095 to the power of 5
Giving me $34633.25
The sum of three numbers is 99. The third number is 4 times the second. The first number is 9 more than the second.What are the
numbers?
Answer:
hope it helps
Step-by-step explanation:
hope it helps
Solve the prime factorization of these numbers using the factor tree method
1. 48 2. 356 3. 1 240
Answer:
2 x 2 x 3 x 2 x 2
2 x 2 x 89
2 x 2 x 2 x 5 x 31
Step-by-step explanation:
factor tree
Please help! I need this done very soon
Answer:
4) k = 3
5) h = 35
6) y = 3.5
Step-by-step explanation:
Hope it Helps