Suppose a triangle has sides a, b, and c, and that a2 + b2 > c2. Let 0/ be the
measure of the angle opposite the side of length c. Which of the following
must be true? Check all that apply.
A. 0/ is an acute angle.
B. cos 0/ > 0
C. The triangle is a right triangle.
D. The triangle is not a right triangle.
Answers
Hello,
Answer A
Indeed:
[tex]c^2=c^2+b^2-2ab*cos(\theta) < a^2+b^2\\\\-cos(\theta)<0\\\\cos(\theta)>0\ \Longrightarrow \theta < 90^o[/tex]
True statements are:
A. [tex]\theta[/tex] is an acute angle.
C. The triangle is a right triangle.
D. The triangle is not a right triangle.
What is angle?An angle is a combination of two rays (half-lines) with a common endpoint.
Given:
a² + b² > c²
as, the triangle with sides a, b and c.
If this is a right triangle, then the condition a² + b² > c² apply.
Using cosine law.
angle> 90 degrees which is an obtuse angle.
Also, cos [tex]\theta[/tex] is negative.
Hence, the conditions that are true are A, C and D.
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Related Questions
solue for &
X(3 + X) = 3x + x²
Answers
3x+x^2=3x+x^2
3x-3x=x^2-x^2
which means x=0
PLSSS HELPPPP AYUDA PLSSS URGENT AS WELL PLSS PSL PSL evaluate this expression “(-7x^3 + 9x^2 - 3) x (-2x^2 - 5x + 6)???
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Answer: 14x^5 + 17x^4 - 87x^3 + 60x^2 + 15x - 18
Step-by-step explanation: You would need to simplify the expression by using distributive property.
Write the following expression as a simplified polynomial in standard form.
(x-4)^2+3(x-4)+6
Answers
Answer:
x6−24x5+240x4−1280x3+3840x2−6144x+4102
Step-by-step explanation:
I don't know if this is right or not but there ig?
3^2 dived (-4+5)^2-11+2^3 hope you can answer
Answers
Answer:
3^2 = 9
(-4+5)^2-11+2^3 = -2
-2/9 or -9/2 ... re-read question is 3^2 dividing into (-4+5)^2-11+2^3
or the other way around... I think that there is a missing word...
3^2 "divided into"
vs 3^2 "divided by"
Step-by-step explanation:
Does the graph represent a linear expression?
Yes or No
Please answer fast!
Answers
what is the side length of the square in cm
Answers
Answer:
8.4 cm^2
Step-by-step explanation:
The area of the rectangle is
A = lw
A = 3x *5x = 15x^2
126 = 15x^2
126/ 15 =15x^2/15
42/5 = x^2
We want to find the area of the square
A = l*w
A = x*x
A = x^2 = 42/5 = 8.4 cm^2
What is the probability of an event that is certain?
PLEASE HELPPP!!
Answers
Answer:
I think it would be 100%
Step-by-step explanation: because it is certain that means its going to happen
(20+80 divided by 2x8) divided [(54 divided by 9+14)divided by 4]
Answers
Answer:
80
Step-by-step explanation:
Let's write out the equation:
8(20+80/2)/[(54/9+14)/4]
For the first part we get 8(100/2)
Then 50x8
Then 400
For the second part we have (6+14)/4 as we divide 54 by 9. PEMDAS
Then 20/4
Then 5
So our final answer is 400/5 which is 80.
Hope this helps!
The given mathematical statement can be written in the form of mathematical expression as -{x} = {(20 + 80)/(2 x 8)} ÷ [{54/(9 + 14)}/4].
What is function?A function is a relation between a dependent and independent variable.
We can write the examples of function as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is the mathematical statement as -
(20+80 divided by 2x8) divided [(54 divided by 9+14)divided by 4]
We can write the given statement in the form of mathematical expression as -
{x} = {(20 + 80)/(2 x 8)} ÷ [{54/(9 + 14)}/4]
Simplifying, we get -
{x} = {100/16} ÷ {54/23}/4
{x} = 100/16 ÷ 54/92
{x} = 100/16 x 92/54
{x} = 10.64
Therefore, the given mathematical statement can be written in the form of mathematical expression as -{x} = {(20 + 80)/(2 x 8)} ÷ [{54/(9 + 14)}/4].
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Evaluate: ab for a = 2 and b = 5
Answers
an:2*5:10
please mark this answer as brainlist
17. PLEASE HELP ME
The area of a playground is 160 yd2. The width of the playground is 6 yd longer than its length. Find the length and width of the playground.
A. length = 16 yd, width = 22 yd
B. length = 16 yd, width = 10 yd
C. length = 22 yd, width = 16 yd
D. length = 10 yd, width = 16 yd
Answers
Answer:
b
Step-by-step explanation:
16x10=160
PLZ HELP!! ASAP PLZ!! NO FILES.
Answers
Answer:
Slope is (1/4)
Step-by-step explanation:
The slope is calculated by (6-5)/(5-1)=1/4
Which graph maps f(x) to g(x) using g(x) = -f(x) + 2? Explain the Reasoning
Answers
Answer:
Step-by-step explanation:
Use the information in the figure. If F=116, find E
58
32
116
64
Answers
Step-by-step explanation:
Given that,
m∠F = 116°We have to find the value of m∠E.
Here, two sides are equal, thus it is an isosceles triangle. As the two sides are equal, so their angles must be equal. So, ∠E and ∠D will be equal. Let us assume the measures of both ∠E and ∠D as x.
→ Sum of all the interior angles of ∆ = 180°
→ ∠E + ∠D + ∠F = 180°
→ 116° + x + x = 180°
→ 2x = 180° – 116°
→ 2x = 64°
→ x = 64° ÷ 2
→ x = 32°
Henceforth,
→ m∠E = x
→ m∠E = 32°
[tex] \\ [/tex]
~
Hi! Can someone help me solve this question. Thanks
Answers
Write and solve a word problem that can be modeled by addition of two negative integers.
Answers
Answer:
Step-by-step explanation:
Question:
Max needs to purchase a car and withdraws $100 from his bank. In a few days he withdraws another $50 to make same repairs. In total what is the change in his bank balance from theese two costs?
Solution:
(-100) + (-50) =
-150
Answered by G a u t h m a t h
help me pleaseeeeeeeee
Answers
5^2x(5+1)=150
5^2x=25
5^2x=5^2
2x=2
x=1
If you have nine over 1 cups of jelly worms in a recipe that calls for one over 2 cups of jelly worms how many batches of the recipe can you make
Answers
Answer:
13
Step-by-step explanation:
ayone amos right now gonna be answering : yungbreezyf2
Answers
ill add you if you follow my t i k t o k(:
please answer all three.
Answers
Answer:
842.04 cm³
Step-by-step explanation:
Cylinder:
diameter = 6 cm
r = 6/2 = 3cm
h = 4 cm
Volume of cylinder = πr²h
= 3.14 * 3 * 3 * 4
= 113.04 cm³
Cube:
side = 9 cm
Volume of cube = side * side *side
= 9*9*9
= 729 cm³
Volume 0f composite figure = volume of cylinder + volume of cube
= 113.04 + 729
= 842.04 cm³
Answer:
1181.16
Step-by-step explanation:
Cylinder + Cube = 1181.16
Can someone give me an example on how to solve non right angled triangles?
Answers
First use the
Pythagorean theorem to find the hypotenuse h of the right triangle.
h = √(62 + 82)
= √(36 + 64)
= 10
melanie is cutting a 6 1/2 inch piece of yarn from a string that is 15 3/4 inches long how much yarn will be left
Answers
Answer:
9 1/4 inches would be left
Step-by-step explanation:
Solve for X. Geometry
Answers
Answer:
11
Step-by-step explanation:
6+(2x+28)=x+23=-11 -> Answer can't be negative -> 11
what must be subtracted from 61 to get 5
Answers
Answer: 56
Step-by-step explanation:
Let x be the number that is supposed to be subtracted from 61.
Given
61 - x = 5
Add both sides by x
61 - x + x = 5 + x
61 = 5 + x
Subtract 5 on both sides
61 - 5 = 5 + x - 5
x = 56
Hope this helps!! :)
Please let me know if you have any questions
Brody works part-time at a veterinarian's office in addition to going to college, and he is paid twice a month. Which type of budget would likely work best for Brody?
Answers
The type of budget that would likely work best for Brody is biweeky budget.
Budget is an economic term that refers to the planning and advance formulation of expenses and income. The budget is a tool to organize expenses depending on the amount of money available.
The type of budget that would be best for Brody is a biweekly budget because he receives his payment every fifteen days (twice a month). So, he can schedule his expenses each time he receives his payment, in this way he does not spend all his money before he receives the next payment.
Additionally, weekly, monthly, and dairy are not correct options because they do not fit the time periods in which Brody receives payment for his services.
Learn more in: https://brainly.com/question/141889
Note:
This question is incomplete because options are missing, here are the options.
Daily budget
Biweekly budget
Monthly budget
Weekly budget
How do I do this question it is really hard
Answers
Answer:
Step-by-step explanation:
PLEASE! I need Help. 50 POINTS!!
Answers
Answer:
-5^ 5
Step-by-step explanation:
-5^7 ÷ -5^2
We know that a^b ÷ a^c = a^ (b-c)
-5^(7 - 2)
-5^ 5
Answer:
C
Step-by-step explanation:
subtract exponents
Translate this phrase into an algebraic expression.
the sum of 4 and twice a number is 12
Answers
Answer:
4+2x = 12
Step-by-step explanation:
sum means add an is means equal
4+2x = 12
Step-by-step explanation:
the sum of 4 and twice a number is 12:
Have a great day! I hope this helps!! :)Is (7,0) a solution to the equation y = x - 2?
Answers
Answer:
no
Step-by-step explanation:
because 7-7=0 and it doesn't subtract by 2
it is not equal to y=x-2
Answer:
no
Step-by-step explanation:
y = x-2
Let x = 7 and y=0
0 = 7-2
0 =5
This is not a true statement so (7,0) is not a solution
Someone please answer B for me 15 Points marking brainliest
Answers
Step-by-step explanation:
since you have figured out A already, what is the problem with B ? you "only" need to calculate the perimeter of the shape.
basically the same assumptions as for the area calculations :
the "inner" sides are truly parallel to the line outer sides, so that they are both 12-4=8 m long.
and I assume here in addition that the side with the tiles in front contains a door, which is usually 1 m wide. and for that length we don't need trim of the baseboards (as there are none, where there is a door).
so the needed trim is
12+12+4+8+8+(4-1) = 24+4+16+3 = 47 m
but if my assumption about the door is wrong, then you need to add an additional meter. = 48 m.
and if the side with the tiles does not need any baseboards and corresponding trim at all (for whatever reason), you need to subtract that side completely. = 44 m
Compute: 100 to the power of 999 times 5 to the power of negative 999 times 2 to the power of negative 999.
Answers
100 = 10² = 2² × 5², so
100⁹⁹⁹ = (2² × 5²)⁹⁹⁹
100⁹⁹⁹ = 2²ˣ⁹⁹⁹ × 5²ˣ⁹⁹⁹
100⁹⁹⁹ = 2¹⁹⁹⁸ × 5¹⁹⁹⁸
Then
100⁹⁹⁹ × 5⁻⁹⁹⁹ × 2⁻⁹⁹⁹ = 2¹⁹⁹⁸ × 5¹⁹⁹⁸ × 5⁻⁹⁹⁹ × 2⁻⁹⁹⁹
100⁹⁹⁹ × 5⁻⁹⁹⁹ × 2⁻⁹⁹⁹ = 2¹⁹⁹⁸⁻⁹⁹⁹ × 5¹⁹⁹⁸⁻⁹⁹⁹
100⁹⁹⁹ × 5⁻⁹⁹⁹ × 2⁻⁹⁹⁹ = 2⁹⁹⁹ × 5⁹⁹⁹
100⁹⁹⁹ × 5⁻⁹⁹⁹ × 2⁻⁹⁹⁹ = (2 × 5)⁹⁹⁹
100⁹⁹⁹ × 5⁻⁹⁹⁹ × 2⁻⁹⁹⁹ = 10⁹⁹⁹
which is a number with 1000 digits,
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
