(Choice A)
A
Equilateral triangle
(Choice B)
B
Isosceles triangle
(Choice C)
C
Right triangle
(Choice D)
D
Acute triangle
(Choice E)
E
Scalene triangle
(Choice F)
F
Obtuse triangle
Answers
Answer:
That is an obtuse scalene triangle
Step-by-step explanation:
Scalene- has no congruent sides
Obtuse - has an angle that is greater than 90
we can use Pythagorean theorem to confirm this
The Pythagorean theorem states that in an obtuse triangle the hypotenuse squared is greater than the two legs squared added together
so basically [tex]7^2>4^2+5^2\\7^2=49\\4^2=25\\5^2=25\\25+16=41\\49>41[/tex]
therefore it is an obtuse scalene
Answer:
(Choice E) E Scalene triangle and (Choice F) F Obtuse triangle
Step-by-step explanation:
Aside from E, Scalene triangle (as all the sides are of different lengths, we can assume that the angles will also be), the answer can either be B, Isosceles triangle or F, Obtuse triangle, so let's figure that out using the cosine rule! If it is an obtuse triangle, this means Angle ABC is bigger than Angle BAC and Angle BCA. But we can clearly see it is, as it's an Obtuse Triangle is a triangle where 1 angle is bigger than 90 degrees. Let's work out Angles BAC and BCA to find out if the triangle is obtuse or isosceles.
[tex]a^{2} = b^{2} +c^{2} -2bcCosA[/tex] This is the cosine rule formula. Now all we need to do is substitute in the values. We are using the cosine rule because we aren't given any angle values. We use Further Trigonometry instead of SOHCAHTOA as this clearly isn't a right-angled triangle. SOHCAHTOA only applies to triangles with a 90 degree angle, also known as a right-angled triangle. Let's rearrange the cosine formula so that we have everything equal to A instead.
[tex]A = cos^{-1}(\frac{b^{2} + c^{2} - a^{2} }{2bc})[/tex]
We will work out BAC first.
a = 5
b = 4
c = 7
[tex]A = cos^{-1}(\frac{4^{2} + 7^{2} - 5^{2} }{2(4)(7)})[/tex]
A = 44.4 rounded to 3 significant figures
Next, we will work out BCA.
a = 4
b = 5
c = 7
[tex]A = cos^{-1}(\frac{5^{2} + 7^{2} - 4^{2} }{2(5)(7)})[/tex]
A = 34.0 rounded to 3 significant figures
The answer is F, Obtuse triangle and E, Scalene triangle
If we just worked out BAC, we would have noticed that by assuming BCA was also 44.4, the obtuse angle would be 91.2 degrees, which is barely above 90 degrees, therefore we would have correctly guessed the triangle as obtuse from there-on. I just worked out BCA as evidence to support that Triangle ABC cannot be isosceles, therefore we can eliminate that option and classify this triangle as Obtuse.
I hope my explanation helps!!
Related Questions
after how many audio books will both book clubs cost the same amount.
Answers
Answer:
2 books
Step-by-step explanation:
10 + 5x = 16 + 2x
- 2x - 2x
10 + 3x = 16
-10 -10
3x = 6
/3 /3
x = 2
Please help! I have been working for hours and I-
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
40 points!~
Answers
Answer:
7 is C
8 is B
9 is C
Step-by-step explanation:Focus on your class please
Answer:
1. C
2. A
3. C
Step-by-step explanation:
Todos los triángulos equilateros son iguales cierto o falso
Answers
Answer:
Cierto
Step-by-step explanation:
Los triángulos equiláteros son siempre iguales porque siempre tienen ángulos de 60 grados.
Si esto le ayudó, marque como más inteligente
a point C divides a line segment AB of length 4.5cm in the ratio 2:1, then the length of AC is
Answers
Answer:
AC = 3 cm
Step-by-step explanation:
sum the parts of the ratio, 2 + 1 = 3 parts, then
AC = [tex]\frac{2}{3}[/tex] × AC = [tex]\frac{2}{3}[/tex] × 4.5 = 2 × 1.5 = 3 cm
Which measurements are greater than 134 inches?
Answers
Answer:
C 4 yards
Step-by-step explanation:
random guess sorry.
Answer:
A is the answer!
Step-by-step explanation:
134 inches is equal to 3.7 yards
134 inches is equal to 11.1667 feet.
In a soccer game, sending the goalie up on a corner kick sometimes results in a goal and gives the team a one man advantage. Assume soccer teams do this about 20% of the time. Of the times that teams send a goalie up, 30% result in that team scoring in the next 40 seconds of the game. On the other hand, 10% of the times that teams do not send a goalie up for a corner kick results in that team scoring in the next 40 seconds of the game. A sports statistician wants to know the probability of a team sending a goalie up and scoring within 40 seconds. What is this probability?
Answers
Answer:
90% chance
Step-by-step explanation:
they need an extra man to help for the last point
Javon spent %687 on pokemon cards. Energy cards cost $6 and dragon cards cost $5. If he bought a total of 127 packs then how many of each did he buy
Answers
Answer:
Javon purchase Energy cards = 52
Javon purchase Dragon cards = 75
Step-by-step explanation:
Given - Javon spent $687 on pokemon cards. Energy cards cost $6
and dragon cards cost $5.
To find - If he bought a total of 127 packs then how many of each did he buy ?
Proof -
Let Javon purchase Energy cards = x
Javon purchase Dragon cards = y
Now,
Given that he bought a total of 127 packs
⇒x + y = 127
Also,
Cost for 1 Energy card = $6
⇒Cost of x Energy cards = $ 6x
And
Cost of 1 Dragon card = $5
⇒Cost of y Dragon card = $ 5y
Now,
Given that Javon spent $687 on pokemon cards.
⇒6x + 5y = 687
∴ we get
x + y = 127 ..................(1)
6x + 5y = 687 .................(2)
Multiply by 6 in equation (1) , we get
6(x + y) = 6(127)
⇒6x + 6y = 762 .................(3)
Now,
Subtract equation (2) from equation (1) , we get
6x + 6y - (6x + 5y )= 762 - 687
⇒6x + 6y - 6x - 5y = 75
⇒y = 75
Now,
Put the value of y in equation (1), we get
x + 75 = 127
⇒x = 127 - 75
⇒x = 52
∴ we get
Javon purchase Energy cards = x = 52
Javon purchase Dragon cards = y = 75
The washing machine had a selling price of P4,792. It had been marked up by P1,248. What was the cost? What was the mark-up rate?
Answers
Answer:
The cost of the washing machine is P 3,544
The mark-up rate is 35.21%
Step-by-step explanation:
1. We want to calculate the cost
Mathematically, this is the difference between the selling price and the mark up
We have this as;
4,792 - 1,248 = P 3,544
2. Here, we want to calculate the mark-up rate
Mathematically, this is the percentage of mark-up
That is;
mark-up/cost price * 100%
: 1,248/3,544 * 100% = 35.21%
a truck has a trailer that has a length of 16 ft a width of 7 ft and a height of 11 ft what is the volume
Answers
Answer:
1232 is the volume because 16×7×11
Answer:
The volume is 1,232 ft³
Step-by-step explanation:
Volume = lwh = Length × Width × Height =
[given that the length is 16, width is 7, and height is 11]
16 × 7 × 11
4 × 4 × 7 × 11
2 × 2 × 2 × 2 × 7 × 11
2 × 2 × 2 × 2 × 77
2 × 2 × 2 × 154
2 × 2 × 308
2 × 616
1232
________
The volume is the measurable capacity of an object or the metrical space that something holds or takes up.
Just like you multiply the net length and width to find the area of a 2 dimensional object, you can extend that 2d object so that is has height by multiplying by the given height.
Find the midpoint of a line segment with endpoints (4, -10) and (-8, 2).
Answers
Step-by-step explanation: (-2,-4)
Solve the system of equations by elimination.
2x - 9y = 23
5x - 3y = -1
*Be sure to enter your answers as a point
Answers
Answer:
Step-by-step explanation:
1. 2x - 9y = 23
2 x = 9 y + 23
y = (2 x)/9 - 23/9
2 x - 9 y - 23 = 0
2. 5x - 3y = -1
5 x + 1 = 3 y
y = (5 x)/3 + 1/3
5 x - 3 y + 1 = 0
I belive that should help you out a bit :D
Answer:
(x,y) = (-1/5 + 3v/5, -13/5+2v/15)
Step-by-step explanation:
What equivalent fractions for 2 3/5 and 1 1/3 using a common denominator
Answers
Answer:
The common denominator is 15.
2 3/5 = 13/5 = 39/15
1 1/3 = 4/3 = 20/15
Answer:
39/15 and 20/15
Step-by-step explanation:
Given function:
2 3/5 and 1 1/3to find the equivalent fraction for both fraction using common denominator..Rewrite 2 3/5 and 1 1/3 by a number that is equivalent to 5 and 3:
[tex]5,10,15[/tex] [tex]3,6,9,12,15[/tex]Multiply each numerator by how much times it turned into 15:
[tex]3[/tex]·[tex]3=9[/tex] [tex]1[/tex]·[tex]5=5[/tex]Simplfly the fraction terms:
[tex]2\frac{9}{15}=\frac{39}{15}[/tex] [tex]1\frac{5}{15}=\frac{20}{15}[/tex]Therefore, 39/15 and 20/15 is equivalent to 2 3/5 and 1 1/3.
Organisms depend on nonliving things in an ecosystem. Which is a nonliving part of a river ecosystem?
A.
algae
B.
minnow
C.
water
D.
turtle
Answers
Bobby earns $72 for the day and $6 for each delivery he makes. He wants to make $150 in work day. How many deliveries must Bobby make to reach his goal?
Answers
Answer:
He needs to make 13 deliveries
Trisha stocked up on two kids of oatmeal 1/5 of a cup of instant oatmeal and 2/5 of a cup of old-fashiond oatmeal how much oatmeal did trish biy in all
Answers
Write an equation to describe the relationship between a and b.
Answers
Answer:
I think the answer would be :
b = 0.375 a
Hope it was helpful for you ^^ .
PLEASE HELP QUICKLY!!!
Which one is it?
Need help.
Answers
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
for every one day there is a distance of 50 miles, therefore you multiply the days (T) by 50 to get your distance
help me, will give money at this point.
Answers
Answer:
3a- 4/9
3b- 2/9
3c- 0/9
4a- it is unlikely to take the bus
4b- the show is gonna be on tonight.....or certain to happen
4c- there is a even chance of flipping tails
4d- i would say it is an even chance or unlikely
4e- likely to have milk
Step-by-step explanation:
A theoretical probability is the probability of an event to have or you could say number of outcomes over number of total possible outcomes
Two airplanes leave an airport at the same time. An hour later they are 189 km apart. If one plane traveled 168 km and the other plane traveled 244 km during the hour, find the angle, x
between their flight paths. Round to the nearest thousandth.
need answer fast plz
Answers
Answer:
bro fr doe gfnyjtuhgbfvjmhnbvc
Step-by-step explanation:
The area of a rectangle is 20x2 - 27x- 8.
The length is 4x + 1. What is the width?
Answers
Answer:
5x - 8
Hope it helped :)
Answer:
5x-8
Step-by-step explanation:
im assuming you mean 20x^2 instead of 20x2 bc when you copy and paste it usually gets rid of the "^".
the area of a rectangle is length*width
so, to find the width, we have to solve the equation (4x+1)*width=20x^2-27x-8
the goal is to find (20x^2-27x-8)/(4x+1)
there is many ways to solve this: long division, synthetic division (easiest way)
but I'll just do guess and check
we know that the answer is in the form ax+b
we also know that b*1=-8 bc that's just how foiling works
We also know 4a=20
so, the answer is 5x-8
obviously you can check this answer if you are unsure of it being correct
(4x+1)(5x-8) = 20x^2-32x+5x-8 = 20x^2 - 27x - 8
so it does work
the original price of an item is $80. what is it's selling price after the store adds a markup on 60%
Answers
Answer
$128
Step-by-step explanation:
Okay well if $80 is 100% then 60% is 48 dollars.
so 80 +48=128
Answer this - 3 - 3 (+2)
Answers
Answer:
-3-6= -9
.......................
Answer:
if you mean -3-3 +2 then it is -4
if you mean -3-3(2) then it is -9
Step-by-step explanation:
answer asap pllsssssss
Answers
Answer:
the answer is 21x+11
Step-by-step explanation: hope this helps
Step-by-step explanation:
5(3x+3) + 2(3x-2)
15x + 15 6x - 4
15x + 16x + 15 - 4
21x + 11
need help asap will give brainly
Answers
2, X = 13
3, X = 9
Find the value of 24/25 divided by 4/5 show your REASONING.
Answers
Answer: 1.2 is the answer
Step-by-step explanation: U have to find a common denominator! hope this helps u.
5
Solve the equation sin(x - 20°) = cos(42°) for x, where 0
OA.
62
OB.
22
O C.
68
OD. 28
Reset
Next
Answers
Answer:
i dont know the answer but did u try to use photomath?
Step-by-step explanation:
Simplify
x^2-9/x^2+x-12
Answers
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Im so sorry yall!!!!!
Answers
Describe how to graph the line y=2/3x+5
Answers
2. Go up 2 and right 3 and plot.
3. repeat step 2.
Solve the inequality for x.
-21 > 5x - 1
Simplify your answer as much as possible
Answers
The answer is on the picture
Answer:
x<-4
Step-by-step explanation:
-21>5x-1 Add 1 to each side.
+1 +1
-20>5x Divide by 5 on each side.
/5 /5
-4>x Flip the equation.
x<-4
Hope this helps you and have an awesome day UwU