The side lengths of a triangle are 5, 12, and 13. Is this a right triangle?
Answers
Answer:
yes, it is right triangle
Step-by-step explanation:
to know if it is right triangle or not, you need to assume that the longest side is the hypotenuse which is 13.
next, the angle between 12 and 5 must be 90 to prove that it was right triangle
to prove that, let's use cosinus theorem
[tex] {13}^{2} = {12}^{2} + {5}^{2} - 2(12)(5) \cos(x) \\ 2(12)(5) \cos(x) = {12}^{2} + {5}^{2} - {13}^{2} \\ \cos(x) = \frac{ {12}^{2} + {5}^{2} - {13}^{2} }{2(12)(5)} \\ \cos(x ) = 0 \\ x = 90[/tex]
from that, we know it is a right triangle
Related Questions
plzzzzzzzz help for a brainly
Answers
Answer:
Complementary angles are 90°
Supplementary angles are 180°
Vertical angles are congruent
Answer:
Complementary Angles: add up to 90
Supplementary Angles: add up to 180
Vertical Angles: are congruent(equal)
Step-by-step explanation:
Aaron's bedroom is in the shape of a rectangular prism. The bedroom measures 10 feet by 14 feet by 8 feet. How many cubic feet of space does the room contain?
Answers
The formula for the area of a rectangular room is width x length, as shown in the figure below: This is the equation used in our square footage calculator as well.
HELPPPPPPP SUMMMMBODYYY
Answers
B or A. I'm not sure, because i learned this 5 years ago, but it is a or b. the only reason i dont know which one is because i forgot what a filled in dot, versus a circle means. on point 3 on your number line, there's a circle, and there's a dot on answer A and answer B respectively. if memory serves, it should be B
Noah invested $890 in an account paying an interest rate of 4 5/8% compounded
annually. Riley invested $890 in an account paying an interest rate of 5 1/4%
compounded continuously. To the nearest hundredth of a year, how much longer
would it take for Noah's money to triple than for Riley's money to triple?
Answers
Answer:
3.37 years
Step-by-step explanation:
\text{Rate 1: }4\tfrac{5}{8}\%=4+5/8=
Rate 1: 4
8
5
%=4+5/8=
\,\,4.625\%\rightarrow 0.04625
4.625%→0.04625
\text{Rate 2: }5\tfrac{1}{4}\%=5+1/4=
Rate 2: 5
4
1
%=5+1/4=
\,\,5.25\%\rightarrow 0.0525
5.25%→0.0525
890\text{ tripled is }2670
890 tripled is 2670
\text{Calculate Tripling Time for Noah}
Calculate Tripling Time for Noah
\overline{\phantom{\text{Calculate Tripling Time for Noah}}}
Calculate Tripling Time for Noah
\text{Compounded Annually:}
Compounded Annually:
A=P(1+r)^t
A=P(1+r)
t
A=2670\hspace{35px}P=890\hspace{35px}r=0.04625
A=2670P=890r=0.04625
Given values
2670=
2670=
\,\,890(1+0.04625)^{t}
890(1+0.04625)
t
Plug in values
2670=
2670=
\,\,890(1.04625)^{t}
890(1.04625)
t
Add
\frac{2670}{890}=
890
2670
=
\,\,\frac{890(1.04625)^{t}}{890}
890
890(1.04625)
t
Divide by 890
3=
3=
\,\,1.04625^t
1.04625
t
\log\left(3\right)=
log(3)=
\,\,\log\left(1.04625^t\right)
log(1.04625
t
)
Take the log of both sides
\log\left(3\right)=
log(3)=
\,\,t\log\left(1.04625\right)
tlog(1.04625)
Bring exponent to the front
\frac{\log\left(3\right)}{\log\left(1.04625\right)}=
log(1.04625)
log(3)
=
\,\,\frac{t\log\left(1.04625\right)}{\log\left(1.04625\right)}
log(1.04625)
tlog(1.04625)
Divide both sides by log(1.04625)
24.2989=
24.2989=
Calculate Tripling Time for Riley
Compounded Continuously:
A=Pe^{rt}
A=Pe
rt
A=2670\hspace{35px}P=890\hspace{35px}r=0.0525
A=2670P=890r=0.0525
Given values
2670=
2670=
\,\,890e^{0.0525t}
890e
0.0525t
Plug in
\frac{2670}{890}=
890
2670
=
\,\,\frac{890e^{0.0525t}}{890}
890
890e
0.0525t
Divide by 890
3=
3=
\,\,e^{0.0525t}
e
0.0525t
\ln\left(3\right)=
ln(3)=
\,\,\ln\left(e^{0.0525t}\right)
ln(e
0.0525t
)
Take the natural log of both sides
\ln\left(3\right)=
ln(3)=
\,\,0.0525t
0.0525t
ln cancels the e
\frac{\ln\left(3\right)}{0.0525}=
0.0525
ln(3)
=
\,\,\frac{0.0525t}{0.0525}
0.0525
0.0525t
Divide by 0.0525
20.9259=
20.9259=
How much longer for Noah to triple:
24.2989-20.9259
24.2989−20.9259
3.373
3.373
Ashleigh wants to find the volume of her green house. The green house is the shape of a rectangular prism. It has a length of 18 feet and a width of 12 feet, but she cannot measure the height. She can tell that it is about half measurement of the length. Describe the steps Ashleigh should take to get an estimate of the volume.
Answers
9514 1404 393
Answer:
1944 ft³ using the estimated height
Step-by-step explanation:
Ashleigh can use her estimate of the height, along with the other dimensions, in the volume formula to get an estimate of the volume.
V = LWH
V = (18 ft)(12 ft)(9 ft) = 1944 ft³
What is the answer to 5/9 + 2/9? Lol please help me
Answers
Answer:
7/9
Step-by-step explanation:
Answer:
answer is 7/9
Step-by-step explanation:
5/9 + 2/9 = 7/9
Pj spun the spinner 12 times. He landed on the number 3 four times. How does the theoretical probability compare to the experimental probability
Answers
Answer:She spun the arrow. 40 times and recorded the frequencies in the table. Based on the data, what is the probability that the next spin will land on H
Step-by-step explanation:
which expression defines function h?
Answers
Answer:
[tex]h(x) = (\frac{f}{g})(x)[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 3x^3 + 9x^2 -12x[/tex]
[tex]g(x) = x - 1[/tex]
[tex]h(x) = 3x^2 + 12x[/tex]
Required
What defines h(x)
Looking at the degree of f(x), g(x) and h(x), we have:
[tex]h(x) = (\frac{f}{g})(x)[/tex]
See proof
[tex]h(x) = (\frac{f}{g})(x)[/tex]
This gives:
[tex]h(x) = \frac{f(x)}{g(x)}[/tex]
[tex]h(x) = \frac{3x^3 + 9x^2 -12x}{x - 1}[/tex]
Factorize
[tex]h(x) = \frac{(3x^2 + 12x)(x - 1)}{x - 1}\\[/tex]
[tex]h(x) = 3x^2 + 12x[/tex]
If y varies inversely as x, and y= 12 as x=2, how do you find the y for the x-value of 6?
Answers
Answer: X=4 and y=4
Step-by-step explanation:
Answer:
x =4
Explanation: As x and y are inversely proportional, the equation can be represented as x=k/y.
Substituting x=2 and y=12, we get 2=k/12=> k=12⋅2 => k=24.Equation can be represented as x=24/y. So, when y=6, we get x=24/6 => x=4
what is 4/7 times 4/4 in simplest form
Answers
4/4=1 , so it’s equivalent to 4/7 times 1, which equals 4/7. 4/7 is already in simplest form.
In general, categorical data ___but do not___
O A. classify; measure
O B. measure; classify
O C. value; measure
O D. none of the above
Answers
Answer:
The answer is A Lma/o
Step-by-step explanation:
(10, 19), (-13, 9) find distance
Answers
Answer:
1,043 km
Step-by-step explanation:
hi hope you have a good dayy
Answer:
Distance between points (10, 19) and (-13, 9) is 25.0799
Step-by-step explanation:
Input Data :
Point 1 (xA, yA) = (10, 19)
Point 2 (xB, yB) = (-13, 9)
Formula : Distance between two points = √(xB − xA)^2 + (yB−yA)^2
Solution :
Distance between two points = √(−13−10)^2+(9−19)^2=
√(−23)^2+(−10)^2
= √529+100
= √629
= 25.0799
hope this helps and is right. p.s i really need brainliest :)
Choose which method to use: Law of Sines or Use Law of Cosines.
Answers
Answer:
we have
b=3mm
c=5mm
a=?
angle =62°
By using cosine rule.
a²=b²+c²-2bc cos angle
a²=3²+5²-2×3×5 cos 62°
a²=19.92
a=√19.92
a=4.5
I had choose cosine rule.
What is the product of the two numbers, written in scientific notation?
1.4 x 10^3 and 5.6 x 10^2
A. .784 x 10^6
B. 7.84 x 10^5
C. 7.84. x 10^6
D. 78.4 x 10^5
Answers
Answer:
The answer is 83
Step-by-step explanation:
You have to mutiply them all then divide
Can you help me with this?
Answers
Answer:
#13 76° (because it is corresponding and vertical to ∠UYV)
#14 40° (because it is corresponding and vertical to ∠TYV)
#15 64° (because it is corresponding and vertical to ∠SYT)
#16 116° (because ∠SYX and ∠XYW added together form the angle)
#17 220° (because ∠TYU, ∠UYV, ∠VYW, and∠XYW add together to form the angle)
#18 104° (because ∠VYW and ∠XYW added together form the angle)
Hope this helps :)
Construction crews are building a highway between the towns of Washington and Jefferson. Currently the highway is 16.25 miles long. Each month the total length increases by 4.5 miles. Which equation can be used to find y, the total length of the highway in miles after x months?
Answers
Find the quotient: 5 1/7 ÷ 3
Answers
Answer:
12 /7
Step-by-step explanation:
theres no quotient
Answer:
The answer is: (12/7) OR (1 5/7) <-- (SIMPLIFIED)
Step-by-step explanation:
First you would divide your original fraction by 3 : (5 1/7 / 3= 36/21). Next, you would simplify the fraction you have know (36/21) and simplify it by dividing the numerator (top number) & denominator ( bottom number) both by 3. ( 36/3= 12) and ( 21/ 3= 7) . and so you would get your fraction 12/7 and or 1 5/7 ( if they want it to be simplified)
~ I rlly hope this helped you in any way, have a gr8 day/night my friend!~
Answers are 0-5 5-10 10-15 15-20 20-25
Answers
struggling with homework!!
Answers
Answer:
40
Step-by-step explanation:
if 20% were Caesar and 20 divided by 5 is 4, then every four salads sold is five percent.
What is the radius of the circle? Hurrry
Answers
Answer:
8 in
Step-by-step explanation:
Given,
Diameter ( circle ) = 16 in ( from the diagram )
To find : Radius ( circle ) = ?
Formula : -
Radius ( circle ) = Diameter ( circle ) / 2
Radius ( circle )
= 16 / 2
= 8 in
2 1/6
years =
How many months
Answers
Answer:
26 months
Step-by-step explanation:
There are 12 months in a year 1/6 of 12 is 2. So 24 +2 = 26.
I'd say that 2 1/6 years is 26 months.
Answer:
26 months
Step-by-step explanation:
12 months = 1 year
24 months = 2 years
1/6 = 2/12
So, it is 26 months
Have a wonderful day! :)
Identify the domain of the function shown in the graph.
10-
8
8
4
2
-8-8-4
-2
-2-
2
4
8
8
10 12
4
-B
-8
-10
Answers
Answer:
domain means x- component I hope you you can identify the domain
The following is a linear programming formulation of a labor planning problem. There are four overlapping shifts, and management must decide how many employees to schedule to start work on each shift. The objective is to minimize the total number of employees required while the constraints stipulate how many employees are required at each time of day. The variables X1 - X4 represent the number of employees starting work on each shift (shift 1 through shift 4).
MIN X1 + X2 + X3 + X4
s.t. X1 + X4 ≥ 12 ........(on duty during shift 1)
X1 + X2 ≥ 15 ........(on duty during shift 2)
X2 + X3 ≥ 16 ........(on duty during shift 3)
X3 + X4 ≥ 14 ........(on duty during shift 4)
X1, X2, X3, and X4 ≥ 0
Given the optimal solution: X1* = 13, X2* = 2, X3* = 14, X4* = 0, how many workers would be assigned to shift 2?
a. 13
b. 12
c. 14
d. 15
e. 2
Answers
Answer:
d. 15
Step-by-step explanation:
Putting the values in the shift 2 function
X1 + X2 ≥ 15
where x1= 13, and x2=2
13+12≥ 15
15≥ 15
At least 15 workers must be assigned to the shift 2.
The LP model questions require that the constraints are satisfied.
The constraint for the shift 2 is that the number of workers must be equal or greater than 15
This can be solved using other constraint functions e.g
Putting X4= 0 in
X1 + X4 ≥ 12
gives
X1 ≥ 12
Now Putting the value X1 ≥ 12 in shift 2 constraint
X1 + X2 ≥ 15
12+ 2≥ 15
14 ≥ 15
this does not satisfy the condition so this is wrong.
Now from
X2 + X3 ≥ 16
Putting X3= 14
X2 + 14 ≥ 16
gives
X2 ≥ 2
Putting these in the shift 2
X1 + X2 ≥ 15
13+2 ≥ 15
15 ≥ 15
Which gives the same result as above.
1. If the function f can be expressed with
the equation f(x) = -x2 – 3x - 10, find the
value of f(-2)
Answers
Answer:
f(-2) = -8
Step-by-step explanation:
Plug in x=-2 into the function:
f(x) = -x² - 3x - 10
f(-2) = -(-2)² - 3(-2) - 10
f(-2) = -4 - (-6) - 10
f(-2) = -4 + 6 - 10
f(-2) = 2 - 10
f(-2) = -8
which features describe the graph of y^2/96^2 - x^2/40^2 = 1? select two options
◽️a focus at (104, 0)
◽️a focus at (0, - 96)
◽️a vertex at (- 40, 0)
◽️a vertex at (0, 96)
◽️the center at (0, 0)
Answers
Answer: d and e
Step-by-step explanation:
Edge 2021
The option describes graph 4. a vertex at (0, 96), and 5. the center at (0, 0) from the given equation [tex]\dfrac{y^2}{96^2} - \dfrac{x^2}{40^2} = 1[/tex]
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The given equation is
[tex]\dfrac{y^2}{96^2} - \dfrac{x^2}{40^2} = 1[/tex]
From the given equation,
a = 40
b = 96
(h,k) = (0,0),
The vertices are at (0,96) and at (0, -96).
The curves open upward and downward.
c² = a² + b²
c² = 40² + 96²
c² = 10816
c = 104
Therefore the foci are at (0, -104) and (0, 104).
Hence, the option describes the graph
4. a vertex at (0, 96) is correct.
5. the center at (0, 0) is correct.
Learn more about equations here;
https://brainly.com/question/27056029
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A limousine company charges $1.50 per mile plus a mandatory $25 tip. Ms. Warwick gave the limousine driver a total of $62.50. What is the total miles driven and the equation to solve it?
Answers
Answer:
25 total miles the equation is 1.50x+25=62.50
Step-by-step explanation:
Answer:25 MILES driven
subtract 25 from 62.50 which is 37.50.
Then: Divide 37.50 to 1.5 which is 25.
Step-by-step explanation:
Erin uses a spinner divided into four equal sections to decide which drink she’ll have with her lunch. The sections represent water, milk, lemonade, and tea. If she spins the spinner three days in a row, what is the probability that she drinks lemonade one day, tea one day, and water one day? Complete the steps below to find the sample space and solve the problem. PART A - Create a list of all the possible outcomes for three days of drink selections. Use the abbreviations W, M, T, and L to represent water, milk, tea, and lemonade. PART B - Based on the list you created in part A, how many possible outcomes are there? PART C - What is the probability that Erin drinks lemonade one day, tea one day, and water one day? PART D - What is the probability that Erin drinks water two days and lemonade one day?
Answers
Answer:
Part A
W W W M W W T W W L W W
W W M M W M T W M L W M
W W T M W T T W T L W T
W W L M W L T W L L W L
W M W M M W T M W L M W
W M M M M M T M M L M M
W M T M M T T M T L M T
W M L M M L T M L L M L
W T W M T W T T W L T W
W T M M T M T T M L T M
W T T M T T T T T L T T
W T L M T L T T L L T L
W L W M L W T L W L L W
W L M M L M T L M L L M
W L T M L T T L T L L T
W L L M L L T L L L L L
Part B
There are 64 possible outcomes. The sample size is 64.
Part C
To find the probability that Erin drinks lemonade one day, tea one day, and water one day, consider all the cases in which L, T, and W occur one time. Because the order doesn't matter in this scenario, these six outcomes from the list represent the desired event: W T L, T W L, T L W, W L T, L W T, and L T W.
The size of the sample space is 64. So, the probability that Erin drinks lemonade one day, tea one day, and water one day is 3/32.
Part D
To find the probability that Erin drinks water on two days and lemonade one day, we consider all the cases in which two Ws and one L occur. Because the order doesn't matter in this scenario, these three outcomes from the list represent the event: W W L, W L W, and L W W.
The size of the sample space is 64. So, the probability that Erin drinks water two days and lemonade one day is 3/64
Step-by-step explanation:
Write 0.000 376 in standard form.
Answers
Answer:
0.000376 in standard form
=3.76×10^-4
Ill give brainliest to first person to answer CORRECTLY! I don't have all day.
34 + 2 ⋅ 5 = ____
Answers
Answer:
180
Step-by-step explanation:
34+2=
36
36 . 5=
180
Answer:
44
Step-by-step explanation:
2x5=10
10+34=44
hope this helped :3
Why would the volumes of the two figures be the same?
Answers
Answer:
They would sill be the same because just because the other shape is lopsided doesn't mean its different than the other. They can me moved left or right but they will still have the same volume.
Step-by-step explanation:
As 3D shearing transformations preserves the volume of figure, the volumes of the two figures would be the same.
What is shearing transformation in geometry?"Shearing is the process of slanting a three- dimensional geometrical object in 3-D space either in x, y, or in the z-direction."
For given example,
We can observe that figure 2 is a result of shearing transformation on figure 1.
We know, a three-dimensional shearing transformation preserves the volume of solid figures.
This means, the volume of both the figures is same.
Also, we can observe that the length, width and height of the both figures are equal.
Therefore, the volumes of the two figures would be the same.
Learn more about shearing transformation here:
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