Answer:
Since the length of the sides respects the Pythagorean theorem, these points form a right triangle.
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Right triangle:
Sum of the squares of the two smaller sides is equal to the square of the largest side(Pythagorean theorem).
Length of side PQ:
P (-2, -3), Q (4, 1)
[tex]a = \sqrt{(4 - (-2))^2+(1 - (-3))^2} = \sqrt{6^2 + 4^2} = \sqrt{52}[/tex]
Length of side PR:
P (-2, -3), R (2,4)
[tex]b = \sqrt{(2 - (-2))^2+(4 - (-3))^2} = \sqrt{4^2 + 7^2} = \sqrt{65}[/tex]
Length of side QR
Q (4, 1), R (2,4)
[tex]c = \sqrt{(2 - 4)^2+(4 - 1)^2} = \sqrt{2^2 + 3^2} = \sqrt{13}[/tex]
Pythagorean Theorem:
Smaller sides: a and c
Largest side: b
So
[tex]a^2 + c^2 = b^2[/tex]
[tex](\sqrt{52})^2 + (\sqrt{13})^2 = (\sqrt{65})^2[/tex]
[tex]52 + 13 = 65[/tex]
[tex]65 = 65[/tex]
Since the length of the sides respects the Pythagorean theorem, these points form a right triangle.
What is the slope of y= -4y
Answer: 0
Step-by-step explanation:
Trust me this is right.
pls i need help with this math question what is 17 - 12
Ben is laying a triangular brick patio beside his wood deck.
25 ft
10 ft
12 ft
What is the area of the brick patio?
A triangle has angle measurements of 72°, 32°, and 76º. What kind of triangle is it?
acute
right
obtuse
which of the following solutions is the most acidic A. a solution is the most acidic B. a solution with pH of 2 C. a solution with pH of 7 D. a solution with a pH of 9
Answer:
to gorvenit means group
How to solve? Would you divide by 4? 4 representing the four corners
Answer:
paper left = 168.56 units²
Step-by-step explanation:
first, figure the area of the square:
area of square = 28x28 = 784 units²
second, figure the area of the circle:
radius = 1/2of 28 = 14
area of circle = Pi x Radius² = (3.14)(14)² = 615.44 units²
subtract area of circle from area of square:
784 - 615.44 = 168.56 units²
SOH-CAH-TOA..............
Answer:
Step-by-step explanation:
oh nice, SOH CAH TOA :P
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
SOH CAH TOA is really helpful, it also reminds me of south pacific for some reason :D
Anyway back to math
we want to find an angle and we have the Hyp and the adj sides
to that angle soooo
let's pick CAH since it's got Adj / Hyp , which we know and will find that unknown angle for us.. :)
Cos(Ф) = Adj / Hyp
Ф = arcCos( adj / Hyp)
Ф = arcCos( 14 /28 )
Ф = arcCos(.5) ( if you happen to be good with trig functions you can already tell what it's going to be :P w/o using the calculator)
Ф = 60 °
1a = 60 °
for 1b we know the opp and they hyp and want to find the angle. So let's use SOH
sin = Opp / Hyp
sin(Ф) = 5/20
Ф = arcSin(5 /20)
Ф = arcSin ( 1/4)
Ф = 14.4775 °
1b = 14 ° ( rounded to nearest degree )
A botanist is studying a newly identified soybean disease. The botanist collected soil samples from all of the
soybean fields in randomly selected states to see if there were significant differences the sulfur levels in fields with and without the disease.
1. What is the population?
-all u.s. soil
-all u.s. soybeans
2. What is the sample?
-selected u.s. soil
-selected u.s. soybean fields
3. What is the variable of interest?
-amount of sulfur in soil
-number of soybeans with the disease
4. How was the sample selected?
5. What method was used to collect the data?
6. Is the variable qualitative or quantitative?
7. Is the variable continuous or discrete?
1. How many triangle make a trapezoid
A trapezoid consists of two triangles.
A trapezoid does indeed contain two triangles within its structure. A trapezoid is a quadrilateral with one pair of parallel sides.
The other two sides, known as the legs, are not parallel and meet at a point. These legs, along with the two parallel sides, form two triangles within the trapezoid.
One triangle is formed by connecting the two legs and one of the parallel sides. The other triangle is formed by connecting the two legs and the other parallel side.
So, a trapezoid consists of two triangles.
Learn more about Trapezoid here:
https://brainly.com/question/19340938
#SPJ6
3 x 7/8 I need help with this I do not understand if anyone knows tell me
Answer:
21/8
Step-by-step explanation:
because 3*7 is 21 over8
Answer:
Step-by-step explanation:
Your problem → 3 x ^7/8
3x^7 /8
= 3* x^7 /8
= 3x^7 /8
There is no any common factor
In the diagram RT is tangent at s. If the measure of SVU is 138 what is m
Answer:
D 111
Step-by-step explanation:
Answer:
D. [tex]111\degree [/tex]
Step-by-step explanation:
By tangent secant theorem:
[tex] m\angle TSU=\frac{1}{2}(360\degree - 138\degree) [/tex]
[tex] m\angle TSU=\frac{1}{2}\times 222\degree [/tex]
[tex] m\angle TSU=111\degree [/tex]
The perimeter of a rectangular painting is 272 cm if the width of the painting is 61 cm, what is its length?
Answer: length = 75 cm
Step-by-step explanation:
61 x 2 = 122
272-122= 150
150 divided by 2 = 75
check: 75+61= 136
136 x 2 = 272
hope this helps!
Write an equivalent expression to
show the relationship between
multiplication and addition,
3x5
Joe added 1,500 liters of water to his pool. How many kiloliters did he add to his pool?
Answer:
1.5 kiloleter
Step-by-step explanation:
1 kiloleter = 1000 liters
so
1500 liters = 1.5 kiloleters
pls mark brainliest if possible lol
Answer:
1 1/2 kl
Step-by-step explanation:
1 kiloliter is a 1,000 liters, so 1 liter and 500 is 1/2 of 1,000
Solve the inequality 5 - 1/2x great than 30
Answer:
5-1/2 = 4 1/2 4 1/2= 4.5. and 4.5 is not greater then 30, thus this statement is false
Step-by-step explanation:
Juan has 36 in of string how many 3 and 1/4 in pieces can one cut from the string? a. 8 b.9 c.11 d.12?
Answer:
c. 11
Step-by-step explanation:
36 divided by 3.25 is a little over 11. That little extra is a remainder and cannot be put into 3.25 again, and so 11 is the right answer.
Juan can cut a maximum of 11 pieces from the string.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
We have two types of fractions.
Proper fraction and improper fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
An improper fraction is a fraction where the numerator is greater than the denominator.
Example:
1/2, 1/3 is a fraction.
3/6, 99/999 is a fraction.
1/4 is a fraction.
We have,
To find out how many 3 and 1/4-inch pieces Juan can cut from his 36-inch string, we can divide the length of the string by the length of each piece.
First, we need to convert 3 and 1/4 inches to a decimal form:
3 and 1/4 inches = 3.25 inches
Now we can divide the length of the string by the length of each piece:
36 inches ÷ 3.25 inches/piece ≈ 11.08 pieces
Thus,
Since Juan cannot cut a fraction of a piece, he can cut a maximum of 11 pieces from the string.
Learn more about fractions here:
https://brainly.com/question/24370499
#SPJ2
S varies inversely as G. If S is 9 when G is 2.4, find S when G is 6. a) Write the variation. b) Find S when G is 6
Answer:
S = 21.6/G
S = 3.6
Step-by-step explanation:
Inverse variation:
y = k/x
For this problem:
S = k/G
We use the given values of S and G to find k.
9 = k/2.4
k = 9 * 2.4
k = 21.6
The equation is
S = 21.6/G
For G = 6,
S = 21.6/6
S = 3.6
Which theorem is the following?
"If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment"
Answer:
Perpendicular bisector theorem
Step-by-step explanation:
The illustration of the theorem is:
If point B is a perpendicular bisector of Line AC and the length of AC is 10cm
Then
[tex]AB + BC = 10[/tex]
Where
[tex]AB = BC[/tex] --- Perpendicular bisector
So, the equation becomes
[tex]AB + AB =10[/tex]
[tex]2AB =10[/tex]
[tex]AB = 5[/tex]
Recall: [tex]AB = BC[/tex]
[tex]AB = BC = 5[/tex]
( -5/3 ) exponent 2 = ?
Answer:
25/9
Step-by-step explanation:
I did it on mathaway
Answer:
25/9 or 2.78
Step-by-step explanation:
(-5/3)²= -5/3 x -5/3=
-5x-5= 25
3x3= 9
=25/9
Decimal form: 25/9= 2.777
46 is greater than x.
Question options:
46 > x
46 < x
46 ≥ x
46 ≤ x
Aaaaaaaaaaaaaaaaaaaa
Answer:
Step-by-step explanation:
46>x
what is the formula to calculate the perimeter of the circle
Answer:
2πr
Step-by-step explanation:
when we use this formula it will come ans
please i think it is right
please follow me ok
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer.......
C = 2πrHope it helps you!
Mark me brainliest pls......
Follow me! :)
Write an observation that you see on the graph
How many grams are in a ounce say how many decimals I know it's 28 something
Answer:
28.3495
Step-by-step explanation:
Answer: There are 28.35 grams in an ounce
what is the distance between (-4,2) and (-2,-5) in simplest radical form?
Answer:
d=√((x2-x1)²+(y2-y1)²)
d=√(-4+2)^2 + (2+5)^2
d=√(4+49)
d=√53
Let me know if this helps!
Tilly the dog barks every 9 seconds.
Billy the dog barks every 12 seconds.
They both bark at the same time.
After how many seconds will they next bark at the same time?
Answer:
36 seconds
Step-by-step explanation:
36 is the lowest common multiple of 9 and 12.
According to this question, you must find the L.C.M
So,
L.C.M. (Least.Common.Multiple)
●You divide by prime numbers
●You take common and uncommon ones
●You Multiply
9= 3×3
12=2×2×3
L.C.M= 3× 2×2×3
=36 seconds
ANSWER= 36 SECONDS
A School of 38 teachers has 15 married
women. If 6 of the teachers are couples, how
many of the teachers are neither married nor
have their spouses not in the school? (A) 17 (B) 23 (C) 20 (D) 21
17 teachers are neither married nor have their spouses not in the school
Venn diagram
A Venn diagram is an illustration that uses circles to show the relationships among things or finite groups of things.
Venn diagrams help to visually represent the similarities and differences between two concepts.
From the question:
Number of teachers neither married nor have their spouses not in the school = 38 - (15 + 6) = 17
Find out more on venn diagram at: https://brainly.com/question/1024798
Answer:
17
Step-by-step explanation:
15-6=21
38-21=17
Ji-yoon bought 30 boxes of softballs at the beginning of the season.
Each box contained 6 softballs. Ji-yoon gained an additional 29
softballs so far this season. Which equation represents the number of
softballs, b, that Ji-yoon has now?
Answer:
b=(30×6)+29
Step-by-step explanation:
Hope this helps :)
radius = 3 4/5 m
Hubby bbb bbb.
Answer: 2
Step-by-step explanation:
Please anyone help me on this
Answer:
1
Step-by-step explanation:
(f-g)(x) = f(x) - g(x)
or we can also do
(f-g)(x) = 5x - |x + 7|
f(2) = 5*2 = 10
g(2) = |2 + 7| = |9| = 9
(f-g)(2) = f(2) - g(2) = 1
Compute the probability that a five-card poker hand is dealt to you that contains all hearts.
Answer:
the probability of this happening is 13 out of 52 chance.