Answer:
Since [tex]AB \neq BC \neq AC[/tex] and [tex]\cos B = 0[/tex], we conclude that given triangle is a right-angled and scalene.
Step-by-step explanation:
First, we determine the lengths of sides [tex]AB[/tex], [tex]BC[/tex] and [tex]AC[/tex] by the Equation of the Line Segment, which is based on the Pythagorean Theorem:
Line segment AB
[tex]AB = \sqrt{(4-1)^{2}+ (4-1)^{2}}[/tex]
[tex]AB = 3\sqrt{2}[/tex]
Line segment BC
[tex]BC = \sqrt{(6-4)^{2}+(2-4)^{2}}[/tex]
[tex]BC = 2\sqrt{2}[/tex]
Line segment AC
[tex]AC = \sqrt{(6-1)^{2}+(2-1)^{2}}[/tex]
[tex]AC = \sqrt{26}[/tex]
And the angles are found by means of the Law of Cosine:, where acute angles exist when [tex]0 < \cos \theta < 1[/tex], whereas obtuse angles exist for [tex]-1 < \cos \theta < 0[/tex].
Angle A
[tex]BC^{2} = AB^{2} + AC^{2} - 2\cdot AB\cdot AC \cdot \cos A[/tex] (1)
[tex]\cos A = \frac{BC^{2}-AB^{2}-AC^{2}}{-2\cdot AB\cdot AC}[/tex]
[tex]\cos A = \frac{8-18-26}{-2\dot (3\sqrt{2})\cdot (\sqrt{26})}[/tex]
[tex]\cos A = 0.832[/tex]
Angle B
[tex]AC^{2} = AB^{2} + BC^{2} - 2\cdot AB\cdot BC\cdot \cos B[/tex] (2)
[tex]\cos B = \frac{AC^{2}-AB^{2}-BC^{2}}{-2\cdot AB\cdot BC}[/tex]
[tex]\cos B = \frac{26-18-8}{-2\cdot (3\sqrt{2})\cdot (2\sqrt{2})}[/tex]
[tex]\cos B = 0[/tex]
Angle C
[tex]AB^{2} = AC^{2}+BC^{2}-2\cdot AC\cdot BC\cdot \cos C[/tex] (3)
[tex]\cos C = \frac{AB^{2}-AC^{2}-BC^{2}}{-2\cdot AC\cdot BC}[/tex]
[tex]\cos C = \frac{18 -26-8}{-2\cdot (\sqrt{26})\cdot (2\sqrt{2})}[/tex]
[tex]\cos C = 0.555[/tex]
Since [tex]AB \neq BC \neq AC[/tex] and [tex]\cos B = 0[/tex], we conclude that given triangle is a right-angled and scalene.
Preciso de ajudar nessa questão que segue em anexo.
Answer: $85
Step-by-step explanation:
Não falo português mas tentarei ajudar.
Multiplique 6 2/3 e 3 1/7.
6 2/3 x 3 1/7 = 20 20/21
Dividir 20 20/21 e 5.
20 20/21 / 5 = 4 4/21.
Precisa de cinco latas de tinta.
5 x $17 = $85
Which of the following do not represent the measures of the sides of a triangle?
A)57, 80, 24
B) 43, 133, 89
C) 5, 6, 7
D 20, 20, 30
===========================================================
Explanation:
For this answer choice, we have p = 43, q = 133, and r = 89. Note how p+r = 43+89 = 132, which is not larger than the third remaining side q = 133. Therefore, p+r > q is false and a triangle cannot be formed.
A triangle is only possible if and only if adding any two sides leads to a sum larger than the third side (triangle inequality theorem).
Put another way, we must have these three conditions hold true for a triangle to form:
p+q > rp+r > qq+r > pIf any of those three are false, then we cannot make a triangle with side lengths p,q,r
-----------------
Let's go over choice C for an example in which we can form a triangle
p = 5, q = 6, r = 7
We can see that,
p+q = 5+6 = 11 which is greater than r = 7. So p+q > r is true.p+r = 5+7 = 12 which is greater than q = 6. So p+r > q is true.q+r = 6+7 = 13 which is greater than p = 5. So q+r > p is true.All three conditions are true, and therefore we have a triangle that is possible with side lengths p = 5, q = 6, r = 7. I recommend cutting out slips of paper with these lengths to try it out yourself, so you have a real world example to play with. Choices A and D are a similar story to choice C, so we can rule out all three of these choices.
Helpppp chile. I’m stuck sidnfifnfig vkfniffnf
Step-by-step explanation:
12*4 - 2*2
48 - 4
44 ft of carpet.
PLEASE HELP ME IT' S FOR TODAY!!!
Answer:
x=55
Step-by-step explanation:
125+125=250
250+2x=360
2x=110
x=55
Answer:
55
Step-by-step explanation:
There are many ways to solve this problem; however, I used the one I believe to be the fastest and easiest, but you can still use a different way.
I solved this by using the fact that the green angle (m<125) and the red angle (x) make a straight line. All straight lines equal 180 degrees; therefore, this line must equal 125+x=180. Then, you can subtract 125 from both sides of the equation. That leaves x=55.
Jill needs 3 tonnes of salt. If a packet of salt weighs 600 g how many packets does she need?
Answer:
Solution given:
1 packet=600g
we have
1 tone =1000000g
3tone=3000000g
we have
no of packet's=[tex] \frac{total weight }{1 packet weight } [/tex]
=[tex] \frac{3000000}{600} [/tex]
=5000
packets she needs is 5000.
Match each graph to the corresponding linear equation. help plzzzz i hate math
ANSWER:
GRAPH A: Equation 4
GRAPH B: Equation 3
GRAPH C: Equation 2
GRAPH D: Equation 1
pls help fast i will give brainliest to the first answer i swear
Answer:
Green block= 5x5x5= 125 cm
Flat white block= 1x4x5= 20 cm
Standing white block= 9x3x7= 189 cm
Blue block= 3x4x2.5= 30 cm
The fridge= 174x57=9918 604998 divided by 9918 = 61 d= 61 cm
Step-by-step explanation:
Rick wants to use multiplication to solve {k} = 7 \div \dfrac13k=7÷ 3 1 k, equals, 7, divided by, start fraction, 1, divided by, 3, end fraction. Which multiplication equation can Rick use? Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac13\times{k} =7 3 1 ×k=7start fraction, 1, divided by, 3, end fraction, times, k, equals, 7 (Choice B) B \dfrac13={k}\times7 3 1 =k×7start fraction, 1, divided by, 3, end fraction, equals, k, times, 7 (Choice C) C \dfrac13\times7 = {k} 3 1 ×7=kstart fraction, 1, divided by, 3, end fraction, times, 7, equals, k
Answer: (a)
Step-by-step explanation:
Given
Equation is
[tex]k=\dfrac{7}{\frac{1}{3}}[/tex]
Write the cross-multiplication of the given equation i.e.
[tex]\Rightarrow \dfrac{1}{3}\times k=7[/tex]
This corresponds to the option (a).
Answer:
C
Step-by-step explanation:
ITS C BECAUSE I WASTED A MISTAKE BC OF THE OTHER GUY ON TOP
DONT USE HIS
JUST USE MINE
DONT NEED AN EXPLANATION NOOOOB
I'M A GOOFY ______ !!!!!
A. Kid
B.Guy
C.Dude
D.Goober
Answer:
D
Step-by-step explanation:
SPONGEBOB!!
does anybbody know the answer to this? #help
Answer:
each tube costs $1.5 so put it the point in between 1 and 2
thank you
Step-by-step explanation:
A candle on a table is 6 inches tall and burns at a rate of .8 inches per hour. How many hours will it take for the candle to burn down to a height of 1.2 inches?
Answer:
6 hours
Step-by-step explanation:
6 inches burns at rate .8 inches in 1 hour
to be 1.2 inches has to burn 6 -1.2 = 4.8 inches of the candle
4.8 inches / .8 inches in 1 hour = 6 hours
giving brainlest to whoever answers this (CORRECTLY)!!!!
Answer:
14.4
Step-by-step explanation:
Answer:
14.4 m2
Step-by-step explanation:
area = L x W
here we have these two values so area = 3 x 4.8
this gives us 14.4 m2
HELP ME WITH THIS PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The answer is 5
hope it helps
Answer:
n = 5 units
Step-by-step explanation:
We can solve this using 2 different equations which lead to the same answer:
Equation #1: Sin(30) = n/10
=>Sin(30) * 10 = n
=> 5 = n
Equation #2: Cos(60) = n/10
=> Cos(60) * 10 = n
=> 5 = n
If a number is a whole number, it is in it's simplest radical form, therefore; n = 5 units is the correct answer
Hope this helps!
simplify 3/36 will choose brainliest
Answer:
3/36 simplified is 1/12
Hope this helps!
Ms Shepard cuts 1/2 of piece of construction paper. She uses 1/6 of piece of paper to make flower. This means that she used 1/12 of sheet of paper to make the flower. True or false
Answer:
true
Step-by-step explanation:
subject?
I don’t understand it help and add a explanation for me pls :}
The sidewalk is 5 feet wide and the garden measures 40 feet across. Which measurement is closest to the area of the sidewalk?
A.
3,200 ft
B.
1,400 ft
C.
700 ft
D.
1,000 ft
Answer:
C
Step-by-step explanation:
dillon pays x dollars to get a haircut. he gives the stylist a 15% tip. the expression representing his total cost is x + 0.15x
Answer:
B) 1.15x, adding 15% to the cost of haircut is same as to multiply cost by 1.15
Step-by-step explanation:
Given expression = x + 15% of x
x + (15/100) x = x + 0.15x
= (1+ 0.15) x = 1.15x
15% = 0.15 , added to x = 1.15x
When Austen's parents are away celebrating their anniversary, he gets to sleepover for a week at his
grandparents' house. Afterwards, Austen decides to make his grandparents a photo album of their time
together. There are 7 pages in the album. Austen puts the same number of photos on each page, for a
total of 42 photos.
Which equation can you use to find the number of photos p on each page?
P = 42
7p = 42
P + 7 = 42
D-7=42
7
Solve this equation for p to find the number of photos on each page.
photos
Submit
Answer:
The answer is 6 becase 6 12 18 24 20 36 42 that is 7 so the answer is 6 and it is b
Step-by-step explanation:
brainliest pls
I needs your helps please :) ty
Answer:
so the answer could either be
Yes. as elevation increases, the temp decreases
but..
there is also no trend coz the points are scattered i.e the temp
as the elevation is increasing the temp does vary.
so My final answer would be no, there is not a trend
Solve for X please help
Answer:
x = 10
Step-by-step explanation:
First square both sides of the equation...
[tex]2\sqrt{x + 8} = 3\sqrt{x - 2} \\(2\sqrt{x + 8})^{2} = (3\sqrt{x - 2})^{2} \\ 4(x + 8) = 9(x - 2)\\4x + 32 = 9x - 18\\-5x = -50\\x = 10[/tex]
Q12.
Which relation is a function?
A
{(-1, 3), (-2, 6), (0, 0), (-2, -2)}
B
{(-2, -2), (0, 0), (1, 1), (2, -2)}
C
{(7, 4), (8, 8), (10, 8), (10, 10)}
D
{(4, 0), (4, 1), (4, 2), (4, 3)}
Given b=4, c=1, A=120° for a triangle with sides a, b, c and angles A, B, C. What is the area of the triangle? Round to the nearest hundredth.
Answer:
1.73 units
Step-by-step explanation:
The area of a triangle with sides a, b, c and angles A, B, C is given as
Area = 1/2 bc sin A
Given that b=4, c=1, A=120° for a triangle with sides a, b, c and angles A, B, C then the area
= 1/2 * 4 * 1 * sin 120
= 2 sin 120
= 2 * √3/2
= √3
= 1.732
To the nearest hundredth = 1.73
PLEASE HELP THANK YOU BRANLIEST IS PROVIDED
Answer:
Solution given;
area of semi circle=½πr²=1/2×3.14×4²=25.12in²
area of rectangle ABCD=l×b=8×13=104in²
area of rectangle CEFI=l×b=3×6=18in²
Total area =25.12+104+18=147.12in²
Area of circle
πr²π(7+6-5/2)²π(8/2)²16π25.12in²Area of centre rectangle
8(13)104in²Area of right rectangle
3(6)18in²Total
18+104+25.12122+25.12147.12in²A cylinder has a base radius of 3m and a height of 17m. What is its volume in cubic m, to the nearest tenths place?
Answer:
V= 480.7 m cubed
The volume of the cylinder nearest to tenths place is 480 m^3.
What is cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface.
For the given situation,
The formula for volume of the cylinder is [tex]V=\pi r^{2} h[/tex]
Radius of the cylinder,r = 3 m
Height of the cylinder, h = 17 m
The value of π = 3.14
On substituting the above values,
[tex]V=(3.14) (3^{2})(17)[/tex]
⇒ [tex]V=480.42[/tex] ≈ 480
Hence we can conclude that the volume of the cylinder is 480 m^3.
Learn more about volume of cylinders here
https://brainly.com/question/15891031
#SPJ2
write an inequality in slope intercept form for the graph below. if necessary use <= or >=
Answer:
Where is the graph tho?
Step-by-step explanation:
A survey asked first-year college students, "How many miles is this college from your permanent home?" Students had to choose from the following options: 5 miles or less, 6 to 10 miles, 11 to 50 miles, 51 to 100 miles, 101 to 500 miles, or over 500 miles. The bar chart below shows the percent of students at public and private 4-year colleges who chose each option.
Answer:
Students who attend a private college are more likely to travel a farther distance to attend college.
Step-by-step explanation:
What is the meaning of f '' (4) = -4?
Hi there!
f''(4) = -4 means that at x = 4, the second derivative is equal to -4. This is equivalent to the instantaneous rate of change of the graph of f'(x) at x = 4 as well.
Answer:
Step-by-step explanation:
if the second derivative is -4 means that the function is concave down and that at point 4 the function has a maximum
Find the distance between the points (4,3) and (1,0).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
units
Answer:
[tex]distance = \sqrt{(x_{1} -x_{2})^2+(y_{1} -y_{2})^2 }[/tex]
[tex]=\sqrt{(1-4)^2+(0-3)^2 } \\=\sqrt{3^2 + 3^2}\\=\sqrt{18}\\=3\sqrt{2}[/tex]
Answer:
3√2
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√(0 - 3)² + (1 - 4)²
√(-3)² + (-3)²
√(9) + (9)
√18
3√2
Use cosine law to find the value of x. Show working. use ^ for power and sqrt for square root
Answer:
x ≈ 11.89
Step-by-step explanation:
Using the cosine rule
x² = 4² + 9² - ( 2 × 4 × 9 × cos128° )
= 16 + 81 - 72cos128°
= 97 - (- 44.33 )
= 141.33 ( take the square root of both sides )
x = [tex]\sqrt{141.33}[/tex] ≈ 11.89 ( to 2 dec. places )