If the length of the longer leg in a 30°-60°-90° triangle is 5V3, what is the length of the shorter leg?
A. 3
B. 5
C. 5v2
D. 10
Answers
Answer:
B. 5
Step-by-step explanation:
Let x = length of shorter leg
longer leg = [tex]\sqrt{3}[/tex] times the shorter leg
5[tex]\sqrt{3}[/tex] = x[tex]\sqrt{3}[/tex]
x = 5
Related Questions
Someone plz answer this plz
Answers
4x+1=6x-29
vvvvvvvvvv
-2x=-30
x=-15
4 x -15= -60
angle 3 =59 degrees
angle 6= 119 degrees
How should I come out to my parents as lesbian? I'm low-key scared they won't support me, any techniques on how to get over that? :')
Answers
honestly just try to breathe, and when you tell them sit down with them and tell them straight up.
find the missing side lengths of the triangle 20 units 21 units
Answers
Answer:
29
Step-by-step explanation:
In a triangle, a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
Given this formula, we knoe c^2 is the product of 21^2 + 20^2.
This gives you 841. Now you just find the square root of 841 which is 29.
Hope this helps :)
can someone help me with this question
Answers
Please write eight facts about: The Flow of Energy in a Food Chain.
_________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Answers
Answer:
Always linear...
Decreases with successive trophic level
Answer:
Food chains are very important for the survival of most species. When only one element is removed from the food chain it can result in extinction of a species in some cases.An example of a simple food chain would be: A plant grows using the sun's energy and nutrients from the soil. A rabbit eats the plant. A fox eats the rabbit. The fox dies and decomposes into organisms that feed the soil.A producer, which is able to produce its own food, is also called an autotroph. Every species in the ecosystem relies on producers for their existence.A producer is able to covert inorganic compounds into organic compounds. Without this process life could not exist.A producer can use either solar energy or chemical energy to convert organisms into usable compounds.Because the sun is necessary for photosynthesis, life could not exist if the sun disappeared.Consumers can be carnivores (meat eater only), herbivore (plant eater only), omnivore (eats animals and plants), and a scavenger (eats dead animals).Examples of omnivores (plant and animal eaters) are bears (which eat fish, insects, honey, moose, and grass), turtles (which eat crayfish, earthworms, lettuce, and algae), squirrels (which eat seeds, fruit, eggs, and insects), and monkeys (which eat fruit, leaves, and frogs).Examples of carnivores (animal eaters) include hawks, snakes, foxes, and spiders.Examples of herbivores (plant eaters) include rabbits, moose, cows, groundhogs, and grasshoppers.Decomposers, which feed on dead animals, break down the organic compounds into simple nutrients that are returned to the soil. These are the simple nutrients that plants require to create organic compounds.It is estimated that there are more than 100,000 different decomposers in existence.Al-Jahiz was a 9th century scientist who is responsible for introducing the concept of food chains.The food web, which is a concept that expands on the food chain, was introduced in 1927 by Charles Elton.Food chains can be short, or they can be long, depending on how many consumers can be eaten before one dies and begins to decompose.If a food chain were to continue too long, the energy would become less and less and it would not be very valuable to the animal at the end.Step-by-step explanation:
You randomly draw a marble from a bag of marbles that contains 7 blue marbles, 2 green marbles, and I red
marble
NO LINKS!!
Answers
PLEASE HELP AND EXPLAIN HOW TO DO THIS
Find Sn for the given geometric series.
1=0.11, 5=895.956875, =9.5
Answers
Answer:
1001.35
Step-by-step explanation:
Assuming
n
=
5
for which sum to be found.
We know sum of geometric series up to
n
th term is
S
n
=
a
1
⋅
r
n
−
1
r
−
1
Here
a
1
=
0.11
,
r
=
9.5
,
n
=
5
∴
S
5
=
a
1
⋅
r
5
−
1
r
−
1
=
0.11
⋅
9.5
5
−
1
9.5
−
1
≈
1001.35
[Ans]
please help
will mark brainlist
Answers
Answer:
(-2, 4)
Step-by-step explanation:
Reflection over the x-axis would mean the point would flip upwards, this would affect the y coordinate.
Need help What is 6/10 in simplest form
Answers
Answer:
3/5
Step-by-step explanation:
35.
Step-by-step explanation:
The simplest form of 610 is 35.
Calculate the amount of money you will have in the bank after 5 years if you deposit 25.000 into a savings account that pays 3.0% interest com pounded continuously
Answers
Answer:
29045.86.
Step-by-step explanation:
Total = 25000e^(5*0.03) = 29045.86
Help please thank you:) QUICKLY!!!!!!!!!
Answers
Answer:
y = -8
Step-by-step explanation:
2x2 - 12
4 - 12 = -8
hope this helps
If your input is 7 what is your output?
Answers
Answer:
the answer would be 32 then. you start with 7 then add 1 then Multiple by 4 which equals 32
Imagine that you would like to purchase a $275,000 home. Using 20% as
a down payment (or $55,000), determine the monthly mortgage payment
for your dream home using the loan terms below. Hint: Read the Loan
Calculator tip at right for a tool that will help you make the calculations.
A. 15-year mortgage term with a 3% interest rate
Total Amount Paid Over Loan Term
Minimum Monthly Payment:
B. 20-year mortgage term with a 6% interest rate
Total Amount Paid Over Loan Term:
Minimum Monthly Payment:
C. 30-year mortgage term with a 5% interest rate
Total Amount Paid Over Loan Term:
Minimum Monthly Payment:
Which mortgage would you choose and why?
Answers
Answer:
The mortgage chosen is option A;
15-year mortgage term with a 3% interest rate because it has the lowest total amount paid over the loan term of $270,470
Step-by-step explanation:
The details of the home purchase are;
The price of the home = $275,000
The mode of purchase of the home = Mortgage
The percentage of the loan amount payed as down payment = 20%
The amount used as down payment for the loan = $55,000
The principal of the mortgage borrowed, P = The price of the house - The down payment
∴ P = $275,000 - 20/100 × $275,000 = $275,000 - $55,000 = $220,000
The principal of the mortgage, P = $220,000
The formula for the total amount paid which is the cost of the loan is given as follows;
[tex]Outstanding \ Loan \ Balance = \dfrac{P \cdot \left[\left(1+\dfrac{r}{12} \right)^n - \left(1+\dfrac{r}{12} \right)^m \right] }{1 - \left(1+\dfrac{r}{12} \right)^n }[/tex]
The formula for monthly payment on a mortgage, 'M', is given as follows;
[tex]M = \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}[/tex]
A. When the mortgage term, t = 15-years,
The interest rate, r = 3%
The number of months over which the loan is payed, n = 12·t
∴ n = 12 months/year × 15 years = 180 months
n = 180 months
The monthly payment, 'M', is given as follows;
M =
The total amount paid over the loan term = Cost of the mortgage
Therefore, we have;
220,000*0.05/12*((1 + 0.05/12)^360/( (1 + 0.05/12)^(360) - 1)
[tex]M = \dfrac{220,000 \cdot \left(\dfrac{0.03}{12} \right) \cdot \left(1+\dfrac{0.03}{12} \right)^{180} }{\left(1+\dfrac{0.03}{12} \right)^{180} - 1} \approx 1,519.28[/tex]
The minimum monthly payment for the loan, M ≈ $1,519.28
The total amount paid over loan term, A = n × M
∴ A ≈ 180 × $1,519.28 = $273,470
The total amount paid over loan term, A ≈ $270,470
B. When t = 20 year and r = 6%, we have;
n = 12 × 20 = 240
[tex]\therefore M = \dfrac{220,000 \cdot \left(\dfrac{0.06}{12} \right) \cdot \left(1+\dfrac{0.06}{12} \right)^{240} }{\left(1+\dfrac{0.06}{12} \right)^{240} - 1} \approx 1,576.15[/tex]
The total amount paid over loan term, A = 240 × $1,576.15 ≈ $378.276
The monthly payment, M = $1,576.15
C. When t = 30 year and r = 5%, we have;
n = 12 × 30 = 360
[tex]\therefore M = \dfrac{220,000 \cdot \left(\dfrac{0.05}{12} \right) \cdot \left(1+\dfrac{0.05}{12} \right)^{360} }{\left(1+\dfrac{0.05}{12} \right)^{360} - 1} \approx 1,181.01[/tex]
The total amount paid over loan term, A = 360 × $1,181.01 ≈ $425,163
The monthly payment, M ≈ $1,181.01
The mortgage to be chosen is the mortgage with the least total amount paid over the loan term so as to reduce the liability
Therefore;
The mortgage chosen is option A which is a 15-year mortgage term with a 3% interest rate;
The total amount paid over the loan term = $270,470
please help HEYMLMUM
Answers
Answer:
A.
Step-by-step explanation:
Convert 5 1/6 to a decimal through long division.
Answers
Answer:5.83
Step-by-step explanation:
Please help links=report and if correct I’ll mark you brainiest
Answers
Answer:
A is the correct answer.
Hope this helps [tex]\mathtt{: )}[/tex]
given the f(x)=x+2 g(x)=3x²-1 what is (fg) (x)?
Answers
Answer:
(f·g)(x) = 3x² + 1Step-by-step explanation:
Given:
f(x)=x+2, g(x)=3x²-1To find:
(f·g) (x) = ?Solution:
(f·g)(x) = f(g(x)) = f(3x²-1) = (3x²-1) + 2 = 3x² + 1(f·g)(x) = 3x² + 1Help please, not sure how to do this...
Answers
Answer:
8.38
Step-by-step explanation:
The underlined number is in the hundredths place, so that means that we're going to round there. That means that you look at the number to its right and if it's lower than 5, it stays the same. However, if it's 5 or higher, you round it up. For example, if the number was 8.386, we would round it to 8.39.
A line graph titled Video Rental Stores has year on the x-axis and stores (thousands) on the y-axis. In 2009, there were 4,000 stores.
The line graph shows the number of video rental stores for the years 2005 through 2012.
There were stores in 2009.
Answers
Answer:
its 4,000
Step-by-step explanation:
Which one is the answer? Please be honest this is for my friend.
Answers
Answer:
A 0.4kg object rolling at 2 m/s that's d right answer
Answer:
A 0.4 kg object moving at 4 m.
Step-by-step explanation:
The heavier the object is, the faster it goes. Also the faster is goes and the heavier it is, the more momentum it has.
Someone please help with this khan assignment
Answers
Answer:
slopes is 1/4
y intercept is 3 i think the inequality would be y=mx+b so it would be y=1/4x+3
Step-by-step explanation:
Linear or Non Linear
The cost to ride in a taxi that initially charges $4 plus $0.25 per half mile
Answers
The radius of a circle is 7 miles. What is the circle's area?
Use 3.14 for .
Answers
Answer:
A≈153.94mi²
Step-by-step explanation:
A = πr2 = π · 72 ≈ 153.93804mi²
two passenger train traveling in opposite directions meet and pass each other. Each train is 1/18 miles long and is traveling at 40 miles per hr. How many seconds after the front parts of the trains will meet their rear parts pass each other.
Answers
9514 1404 393
Answer:
5 seconds
Step-by-step explanation:
Suppose the front parts of the trains meet at point A. Since both are the same length and traveling the same speed, each will pass point A in time ...
time = distance/speed
time = (1/18 mi)/(40 mi/h) = (1/720 h) × (3600 s)/(1 h) = 5 s
That is, the rear part of each train will be at point A 5 seconds after the front part.
The rear parts will pass each other 5 seconds after the front parts meet.
Equation C: y = 6x + 9 Equation D: y = 6x + 2 How many solutions are there to the given set of equations?
Answers
Answer:
No solution
Step-by-step explanation:
Equation C :
y = 6x + 9
Equation D :
y = 6x + 2
By comparing both the equations with slope-intercept form of the equation,
y = mx + b
Where, m = Slope of the line
And b = y-intercept
Slopes of both the lines C and D are common as 6,
Therefore, both the lines will be parallel.
And the set of parallel lines has no solution.
Therefore, given set of equations have no solution.
What is the surface area of the cone in terms of π. Enter your answer in the box. and the radius is 8cm and the height is 15
Answers
Answer:
it should be 628.32 I'm not sure if I'm correct
What variable in the equation y=mx+b represents the rate of change?
A) y
B) m
C) x
D) b
Answers
Answer:
D) b
Step-by-step explanation:
Rise Over Run = Rate of change.
rise over run represent change.
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
The number of sandwiches sold by four stores during one week is shown in the graphs. Which store has the MOST skewed data?
Answers
Puteti sa ma ajutati va rog
Answers
Answer:
I read the title wrong, please remove my answer
Step-by-step explanation:
Gross profit of Inner Spark's company amounted to Php275,000. Net Sales is Php400,000 compute for cost of goods sold?
Answers
Answer:Cost of goods sold =Php125,000
Step-by-step explanation:
Profit = Cost Price-Selling Price
Also we know that
Gross Profit = Net Sales– Cost of Goods Sold
Php275,000=Php400,000– Cost of Goods Sold
Cost of Goods Sold=Php400,000-Php275,000=Php125,000
