The hypotenuse is always the longest side of a right triangle, hence it will always be across from the biggest angle, which is a right angle.
The hypotenuse of a right triangle is occasionally across from the right angle, therefore it will only be across from the smallest angle when the right angle is the smallest angle of the triangle.
The hypotenuse is never the longest side of any triangle, and the longest side of any triangle is always across from the smallest angle of the triangle.
What is triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane.
Here,
It is always true that The hypotenuse is the longest side of a right triangle, so it will be across from the largest angle, which is a right angle.
It is sometimes true that The hypotenuse is across from the right angle of a right triangle, so it will only be across from the smallest angle when the right angle is the smallest angle of the triangle.
It is never true that The hypotenuse is the longest side and the longest side of any triangle is across from the smallest angle of the triangle.
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Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a standard deviation of 1800 hours and a mean life span of 14,000 hours. If a monitor is selected at random, find the probability that the life span of the monitor will be more than 16,141 hours. Round your answer to four decimal places.
Answer:
6
Step-by-step explanation:
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Select the correct answer Rita is making a beaded bracelet she has a collection of 160 blue beads 80 gray beads and 240 pink beads what is the estimated probability that Rita will need to pick at least five beads before she picks a gray bead from her collection use a table of randomly generated outcomes to answer the question each letter represents the first letter of the bead color 0.05 0.10 0.45 0.55
Answer:
the answer is .45 I am assuming
HELP ME PLAESE I HAVE ASKED THE QUESTION LIKE 5000000 TIMES AND HAVE USED UP ALL MY POINTS, THE LEAST SOMEONE CAN DO IS JUST TRY PLSSSSS
Will choose brainliest :)
Answer:
try c.
Step-by-step explanation:
i hope this is the answer, good luck!
30 power of 2 muilpity by pie
Answer: 30^2 * pi = 2827.43.
30^2 is 900 and 900 times 3.14 is 2,826. Not the full Pi number.
Find each trig ratio.
Answer:
a) 12/13
b) 5/13
Step-by-step explanation:
sin k = 12/13
cos k = 5/13
My sister needs help with this problem
Can you post step by step
Thank you!
Answer:
D.
Step-by-step explanation:
When you replace the x and y in "2x-y" with (4,-2) its going to be 2(4)-(-2) and thats going to make it greater than 3.
Pls help with this ASAP :)
Answer:
No Solution
Step-by-step explanation:
-8x - 2(7+2x) = -6(2x+5)
-12x - 14 = -12x - 30
-14 = -30, False
No Solution
PLEASE HELP ASAP!!!!!
Answer:
A
Step-by-step explanation:
Answer:
i believe its A
Step-by-step explanation:
Evaluate(8−3i)(3+2i)
Answer:
The answer is 30+7i.
Step-by-step explanation:
Imaginary Number Definition
[tex]\large\boxed{{i=\sqrt{-1}}}[/tex]
Simply evaluate like how you evaluate polynomials. Expand the expression in.
[tex]\large{(8-3i)(3+2i)=[(8*3)+(8*2i)]+[(-3i*3)+(-3i*2i)]}\\\large{(8-3i)(3+2i)=(24+16i)+(-9i-6i^2)[/tex]
Therefore, our new expression when cancelling out the brackets is:
[tex]\large\boxed{24+16i-9i-6i^2}[/tex]
Imaginary Number Definition II
[tex]\large\boxed{i^2=-1}[/tex]
Therefore, substitute or change i² to -1
[tex]\large{24+16i-9i-6(-1)}\\\large{24+7i+6}\\\large{30+7i}[/tex]
Complex Number Definition
[tex]\large\boxed{a+bi}[/tex]
Where a = Real Part and bi = Imaginary Part.
Therefore, it's the best to arrange in the form of a+bi.
Hence, the answer is 30+7i.
If f(x) = 3x - 1 and g(x) = x + 2, find (f+ g)(x).
Answer:
4x+1
Step-by-step explanation:
Since you're finding (f+g) (x), it means you are adding f(x) and g(x) together.
so you add: (3x-1) and (x+2)
combining like terms, you get 4x and 1, which means (f+g)(x)= 4x+1
Answer:
(f + g)(x) = 4x + 1
Step-by-step explanation:
(f + g)(x) - f(x) + g(x) = 3x - 1 + x + 2 = 4x + 1
What two fractions have a sum of 3/5
Answer:
2/5+1/5=3/5
Step-by-step explanation:
What I think ur trting to say; Noah is thinking of two fractions that have the same sum of 3/5. Each fraction has a numerator of 1. What are the denimonitors of the fractions? Enter your answers in the box
answer
2 and 10
What is the value of
2/3 + 3/7
Answer:
1 2/21
Step-by-step explanation:
:)))
Can someone please help me?
9514 1404 393
Answer:
20%
Step-by-step explanation:
A pie chart is constructed so that the angle represents the ratio that sector has to the whole. Here, you want to know the fraction ...
English/Class = 72°/360° = 0.20 = 0.20×100% = 20%
20% of the students chose English.
If you are just building your payment history, how many points from a perfect score will you possibly miss?
A. 297.5
B. 85
C. 255
D. 127.5
Answer: 297.5
Step-by-step explanation:
Your credit history is 35% of your credit score. The highest points in credit is 850. Since you have no credit score, you would do (850)(0.35) which equals 297.5
Eli has $640 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $356.89.
He buys 2 bicycle reflectors for $16.70 each and a pair of bike gloves for $27.47.
He plans to spend some or all of the money he has left to buy new biking outfits for $74.08 each.
Write and solve an inequality which can be used to determine o, the number of outfits Eli can purchase while staying within his budget.
(write the equation that you used to solve this )
Answer:
Step-by-step explanation:
First of all we have to discover how much he spent.
356.89 + 2(16.70) + 27.47 = $417.76
Now we have to find how much money he saved
640 - 417.76 = $222.24
the total cost of biking outfits must be eqaua or less than $222.24..
We know the price of a single outift so we can write this inequality:
74.08o ≤ 222.24
we can find o by dividing the two members of the inequality:
o ≤ 222.24/74.08 = 3
o≤ 3
this mean that he can buy 1, 2 or 3 outfits
In science class, students are learning about organic compounds. An acetic acid
molecule is made of 2 carbon atoms, 2 oxygen atoms, and 4 hydrogen atoms.
What is the ratio of carbon atoms to all atoms in 2 molecules of acetic acid?
A 4:12
B 4:16
C 12:4
D 16:4
#The extremities of the diagonal of a square are (1,1 )and (-2, -1).Obtain the two other vertices and the equation of a next diagonal.
#
find the area of the triangle with vertices(1,2),(2,3),and(4,5).what inference can you draw about the points from your upshot?
Answer:
(i) (-3/2, 3/2) and (1/2, - 3/2)
6x + 4y = - 3
(ii) Points are col linear
Step-by-step explanation:
Let the coordinates of the point(lower) be (a, b) and that of upper be (x, y).
Using mid point formula,
Mid point of diagonal(using the given points) is:
= ( (-2+1)/2 , (-1+1)/2) = (-½ , 0)
Using (a, b) and (x, y) :
= ( (a+x)/2 , (b+y)/2 ) = (-1/2, 0)
Which means, a+x= -1 & b + y = 0
Therefore, x = - 1 - a & b = - y
Using distance formula, diagonal = √(-2-1)² + (-1-1)² = √13
Knowing the relation in diagonal and side, side = diagonal/√2 = √13/√2 = √(13/2)
Again using distance formula, diagonal = √13
=> √(x - a)² + (y - b)² = √13
=> (-1-a -a)² + (-b - b)² = 13
=> a² + b² + a = 3 ... (1) [solved directly]
Length of side = √(13/2)
=> √(a-(-2))² + (b-(-1))² = √(13/2)
=> a² + b² + 4a + 2b = 3/2 ...(2)
On solving (1) and (2):
a = 1/2 or -3/2, but a lies in 4th quadrant so a > 0, thus, a = 1/2
b = -3/2 or 3/2, but b lies in 4th quadrant so b < 0, b = -3/2
Therefore,
x = - 1 - a = -1 - 1/2 = -3/2
y = - b = - (-3/2) = 3/2
Vertices are (x, y) = (-3/2, 3/2) and (a, b) = (1/2, -3/2)
Equation is just a relation in y and x, for a relation:
Subtract (1) from (2):
3a + 2b = -3/2 => 6a + 4b = - 3
By merely replacing a, b by x, y
6x + 4y = -3 is the required equation
(ii):
Ar. of ∆ = ½ | 1(3 - 5) + 2(5 - 2) + 4(2 - 3) |
Ar. of ∆ = ½ | -2 + 6 - 4 | = 0
As the area of the ∆ is 0, the given points don't form ∆, they are col linear.
I need a bit of help on this one.
Jason has two bags with 6 tiles each. The tiles in each bag are shown below:
There are 6 squares labeled with number's going from 1 to 6 from left to right
Without looking, Jason draws a tile from the first bag and then a tile from the second bag. What is the probability of Jason drawing the tile numbered 5 from the first bag and an odd tile from the second bag?
3/6
4/6
3/36
4/36
Answer:
4/36
Step-by-step explanation:
6x6=36/denominator
for second bag we need the highest Expectancies in a questionlike this so it would be 4 but for denominator we dont need highest expectancies we need a correct answer
h(1)=-6 h(2)= 20 h(n)= h(n-2)+h(n-1) What is the value of h(3)?
9514 1404 393
Answer:
14
Step-by-step explanation:
Use the formula with n=3.
h(3) = h(3-2) +h(3-1)
h(3) = h(1) +h(2)
h(3) = -6 +20 . . . . . substitute the given values
h(3) = 14
In DEF, sin D = 24/26 What is cos E?
A. 24 26
B. 10 24
C. 10 26
D. 26 10
Answer:
your answer will be option A. 24/26
Step-by-step explanation:
hope it helps....
In [tex]\triangle[/tex] DEF, [tex]SinD = \frac{24}{26}[/tex] , then [tex]Cos \ E[/tex] will be equals to [tex]\frac{24}{26}[/tex] .
What are trigonometric ratios ?Trigonometric ratios are defined as the sides and angles of a right-angled triangle are dealt with in Trigonometry.
We have,
[tex]\triangle[/tex] DEF,
[tex]SinD = \frac{24}{26}[/tex]
We know that,
[tex]SinD=\frac{Perpendicular}{Hypotenuse}=\frac{EF}{ED}[/tex] and [tex]CosE=\frac{EF}{ED}[/tex]
Using Pythagoras Theorem,
[tex]P^{2} +B^{2} =H^{2}[/tex]
i.e.
[tex]EF^2+FD^2=EF^2[/tex]
[tex]24^{2} +FD^2=26^2[/tex]
[tex]FD^2=676-576[/tex]
[tex]FD=10[/tex]
But when we look from [tex]\angle E[/tex] for [tex]Cos E[/tex] then,
[tex]CosE=\frac{EF}{ED}[/tex]
so,
[tex]CosE=\frac{24}{26}[/tex]
So, the value of [tex]CosE=\frac{24}{26}[/tex] is derived using the Trigonometric ratios.
Hence, we can say that In [tex]\triangle[/tex] DEF, [tex]SinD = \frac{24}{26}[/tex] , then [tex]Cos \ E[/tex] will be equals to [tex]\frac{24}{26}[/tex] .
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The Roman Numeral MCM means
Answer:
See explanation below
Step-by-step explanation:
The Roman Numeral MCM means 1900.
The first M is 1000, CM means 900 ==> 1000 + 900 = 1900
PLEASE HELP!!
What is the volume of A?
What is the height of B?
What is the volume of B?
What is the total volume?
2(20 - 3x) = x
[tex]ax {}^{2} + bx + c = 0[/tex]
Answer:
Step-by-step explanation:
Each day last week, Ms. Wilson walked 3/4 mile. What is the total distance, in miles, that Ms. Wilson walked in four days.
Answer:
3
Step-by-step explanation:
If I’m wrong sorry
But can I get brainlist
What is the value of x, and what is the missing angle?
NO LINKS, THEY WILL BE REMOVED
Answer:
x = 14
Missing angles: 33° and 57°
Step-by-step explanation:
(2x + 5) + (3x + 15) = 90° (complementary angles)
Add like terms
5x + 20 = 90
5x = 90 - 20
5x = 70
x = 70/5
x = 14
✔️Plug in the value of x to find each missing angle:
2x + 5 = 2(14) + 5 = 33°
3x + 15 = 3(14) + 15 = 57°
Find the range, median, and mode of this stem and leaf plot. Please help I have no idea how to do this
Solve for x. Round all answers to the nearest tenth.
27
30
Answer:
x = 39.3
Step-by-step explanation:
30^2 = 27^2 + AB^2
30^2 - 27^2 = AB^2
AB = 13.1
30÷90 = 13.1÷X
30x = 1179
x = 1179÷30
x=39.3
Please help with this I don’t know how to work with slopes
Answer:
1/2x
Step-by-step explanation:
Slope is
Rise over run In a fraction the rise is the numerator and the run is the denominator
From getting one point to another
You rise 1 and run 2
Which is the equivalent of 1/2
Answer:
Step-by-step explanation:
(-1, -4) (1, -3)
(-3 + 4)/(1 + 1) = 1/2
In the diagram below, AB is parallel to CD. What is the value of y?
A. 45
B. 55
C. 135
D. 65
Answer:
A. 45
- as AB and CD are parallel to each other, the value of y will be equal to 45° in CD
The value of y in the given diagram is 45.
Option A is the correct answer.
What are corresponding angles?The angles that are in the same position on a given two parallel lines intersected by a transversal line are called the corresponding angles.
Corresponding angles are always equal.
We can also have alternate angles which are always equal.
We can also have alternate interior and exterior angles which are equal.
The angles on the same side make upto 180 degrees
We have,
Let the corresponding angle with y is m.
Now,
y = m
Now,
45 and m are opposite angles.
So,
m = 45
Now,
The corresponding angle with y is m.
This means,
y = m
y = 45
Thus,
The value of y is 45.
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In the figure ,PS bisects angle RPT.If PS//QR then prove that:PQ=PR