9514 1404 393
Answer:
B) obtuse
Step-by-step explanation:
I like to answer these questions using a "form factor" (f) computed as ...
f = a² + b² - c² . . . . . . . where a, b, c are side lengths with c the longest
Then ...
f = 9² +12² -17² = 81 +144 -289 = -64
The negative value indicates an obtuse triangle (largest angle more than 90°).
__
f = 0 indicates a right triangle; f > 0 indicates an acute triangle.
_____
Additional comments
You may recognize that the two short sides have the ratio 9:12 = 3:4. You know a (3, 4, 5) triangle is a right triangle, so this triangle would be a right triangle if the longest side were 15. Since it is 17, you know the largest angle is more than 90°.
This "form factor" is related to the angle computation you would do to find the measure of the largest angle using the law of cosines. That angle is ...
C = arccos(f/(2ab)) = arccos(-64/216) ≈ 107.2°
Since the factor (2ab) is always positive, the sign of "f" tells you the sign of the cosine of the angle. It is negative for angles greater than 90°.
Translate the following algebraic inequality into a verbal inequality.
2x +6 > 20
Choose the symbol that correctly compares the fractions below. 1/6 ? 4/5
A. =
B. >
C. <
Answer:
The value of 1/6 is less than the value of4\5.
So, the answer is < .
Choose the symbol that correctly compares the fractions below.
1/6 ? 4/5[tex]{ \bf{ \underbrace{Answer}}}[/tex]
C. < ✅Step-by-step explanation:-
[tex] \frac{1}{6} < \frac{4}{5} \\ 0.1667 \: < \: 0.8[/tex]
[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]
Out of 1,000 people in a small town 500 are members of a choir. Out of these 500 members in the choir 100 are men. Out of the 500 inhabitants that are not in the choir 300 are men. What is the probability that a randomly drawn man is not a member of the choir
Answer:
75%
Step-by-step explanation:
The mean number of rushing yards for one NFL team was less than 105 yards per game. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis
Answer:
Null hypothesis rejected means that there is significant evidence to conclude that the team's mean rushing yards per game is less than 105 yards.
Step-by-step explanation:
The mean number of rushing yards for one NFL team was less than 105 yards per game.
At the null hypothesis, we test if the mean number of rushing yards for the team was the league's mean, which is close to 105 yards per game, that is:
[tex]H_0: \mu = 105[/tex].
At the alternate hypothesis, we test if there is significant evident to conclude that this team average is less than 105 yards per game, that is:
[tex]H_1: \mu < 105[/tex]
How should you interpret a decision that rejects the null hypothesis?
Null hypothesis rejected means that there is significant evidence to conclude that the team's mean rushing yards per game is less than 105 yards.
Relationship in Figures
What are the first eight numbers in a Fibonacci sequence when N is equal to 1?
a. 1,2,3,4,5,6,7,8
b. 1,1,2,3,5,8,13,21
c. 3,0,2,3,2,5,5,7
d. 1,1,2,2,3,4,5,7
Please select the best answer from choices provided
Answer:
B. 1,1,2,3,5,8,13,21
Step-by-step explanation:
I calculated it logically
Write the equation in slope-intercept form. -10x+2y=12
-please help
Answer:
y=5x+6
hope this helps
have a good day :)
Step-by-step explanation:
The slope intercept form for the equation -10x+2y=12 is y= 6+5x
What is slope- intercept form?The slope intercept form is a method used to determine the equation of a straight line in the coordinate plane. The equation of a straight line will be that relation which:
the coordinates of any point on the line must satisfy.the coordinates of any point not on the line will not satisfy.The determination of this equation is straightforward. To find the slope intercept form of a straight line, we would need the slope, or the angle of inclination of this straight line from the x-axis and the intercept that it makes with the y-axis.
Given:
-10x+2y=12
As, we know the slope- intercept form is
y= mx +b
Then writing the equation as the slope intercept form
-10x+2y=12
2y = 12 +10x
Divide both side by 2 to make the coefficient as 1.
y= 12/2 + 10x/2
y= 6 + 5x
Hence, the slope intercept form is y= 6+5x
Learn more about slope- intercept form here:
https://brainly.com/question/9682526
#SPJ2
Josh's bill for lunch at a restaurant was $49.59. He left an 18% tip. What was the amount
of the tip?
Round your answer to the nearest cent: $
Which expressions are equivalent to (59 + 3h + 4) - 2?
I think this is the answer
=(3h+61)
[tex] \bf \pink{Define \: the \: decimal \: number \: system \: in \: your \: own \: words. }[/tex]
Answer:
The decimal number system comprises digits from 0-9 that are 0, 1, 2, 3, 4, 5, 6, 7, 8 & 9. Some of the decimal number system examples are: ... 34110, 5610, 678910, 7810. Now as we know to write decimal numbers till 10 let us use the 3 rules on a decimal system,to write further numbers.
[tex] \bf \pink{Define \: the \: decimal \: number \: system \: in \: your \: own \: words. }[/tex]
Decimal system, also called Hindu-Arabic number system or Arabic number system, in mathematics, positional numeral system employing 10 as the base and requiring 10 different numerals, the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. ... It also requires a dot (decimal point) to represent decimal fractions.
Factor 2x^2 c^2 + 3xc^2- 35c^2
What is the product of 2,436 x 5 and show work
Answer:
12180
Step-by-step explanation:
Consider the circle.
If points W and X are the endpoints of a diameter on the circle, what is the value of x?
Answer:
x = 18Step-by-step explanation:
Find the diagram attached
If W and X are the endpoints of a diameter on the circle, this means that arc WX is 180degres
Since the angle at the vertex is half the angle at the intercepted arcs.
<V = 1/2(arcWX)
4x+18 = 1/2*180
4x+18 = 90
4x = 90-18
4x = 72
x = 72/4
x = 18
Hence the value of x is 18
Tuan is an artist. He is painting on a large canvas which is 40 inches wide. The height of the canvas is 6 inches less than the width. What is the area of Tuan's canvas?
Answer:
1360 inches.
Step-by-step explanation:
Equation: 40 × (40-6) Since 40 inches is the width :)
40-6= 34
34*40=1360
Taun's canvas is 1360 inches :)
Find a polynomial f(x) of degree 4 that has the following zeros. 7 (multiplicity 2), 0,-4. Leave your answer in factored form
Answer:
see below
Step-by-step explanation: 5 30 9 50
This is what I think they are asking for....
the zeroes are x = 0 x = -4 x = 7 twice ?? so
x(x+4)(x-7)² = 0
when I graphed the function it looked to be correct
La aparición de la escritura mara el fin de la prehistoria y el inicio de la historia
verdadero o falso
Answer:
Verdadero
Step-by-step explanation:
there is a gamecjwkjcs x,x dzvfbhjhv bzdhu vhaj vuy vrjahfv jhadfv ahjza v zjhv
Answer:
it is babylonia huming by chris
Practice polynomials
solve and show your work
3x^2-14x-5
Answer:
( − 5 ) ( 3 + 1 )
Step-by-step explanation:
Use the sum-product pattern: 3 2 − 1 4 − 5
3 2 + − 1 5 − 5
Common factor from the two pairs: 3 2 + − 1 5 − 5
( 3 + 1 ) − 5 ( 3 + 1 )
Rewrite in factored form
Answer:
Step-by-step explanation:
Standard form:
3x2 − 14x − 5 = 0
Factorization:
(x − 5)(3x + 1) = 0
Solutions based on factorization:
x − 5 = 0 ⇒ x1 = 5
3x + 1 = 0 ⇒ x2 = −1
3
≈ −0.333333
Extrema:
Min = (2.333333, −21.333333)
Answer:
(3 x + 1 ) ( x − 5 )
Find the surface area l=12 w=4 h=2
Answer:
SA=160
Step-by-step explanation:
surface area of cuboid=2lw+2wh+2hl
=2(12)(4)+2(4)(2)+2(2)(12)
=96+16+48
=160
MARK ME BRAINLIEST THANKS MY ANSWER PLEASE
PLEASE HELP! 30 POINT!!!
What is the value of y when x = 3 in this equation
Y = 2x + 2
Answer:
5
7
8
12
Answer:
Step-by-step explanation:
8
A ladder is leaning against the side of a 10cm house. If the base of the ladder is a 3cm away from the house, how tall is the Ladder
Answer:
10.44cm lon
Step-by-step explanation:
Given data
Height of house= 10cm
Distance of ladder from wall= 3cm
We can apply the Pythagoras theorem to get the length of the ladder
Also, the length of the ladder is the hypothenuse
z^2= x^2+y^2
z^2= 10^2+ 3^2
z^2= 100+9
z^2= 109
square both sides
z= √109
z= 10.44cm
Hence the ladder is 10.44cm long
Which expressions are equivalent to -3(t - 7 + 5t + 8)?
Answer: It's B, C, F Hope it helps!
Step-by-step explanation: -3(t-7+5t+8) collect like terms -3(6t+1)
which would give you -18t-3
It C to because 1. expand by distributing terms -(18t+9)+6
2. Remove parentheses -18t-9+6
3. Collect like terms -18t+(-9+6) simplify and it would give you -18t+3 it also F because I collect like terms (-3t-15t)+(21-24) and you simplify and that would give you -18t-3 as well can you make me brainliest bye!
Find the area of a regular heptagon with a side length of 14 units. Use 2 decimal places
in your calculations.
Answer:
Area of heptagon = 712.26 square units
Step-by-step explanation:
Given the following data;
Side length = 14 units
A heptagon is a polygon with seven sides.
Mathematically, the area of a heptagon is given by the formula;
Area of heptagon = 3.634a²
Where;
a represents the side length.
Area of heptagon = 3.634 * 14²
Area of heptagon = 3.634 * 196
Area of heptagon = 712.26 square units
PEASE HELP
Ethan puts $1200 into a Certificate of Deposit (CD) account that earns 2.1% interest each year. What will be the interest of the CD account earned after 5 years? Round to the nearest cent (hundredths place).
Answer:
$12,600
Step-by-step explanation:
So what i did was i multiplyed 2.1 and 5 then i took that answer and multiplyed that and rounded it ang got $12,600
i hope this is right
The table and boxplots below shows summary statistics for
two distributions of calories in 10 brands of beef hot dogs
and 10 brands of turkey hot dogs.
Answer:
Step-by-step explanation:
According to a study, 50 % of adult smokers started smoking before 21 years old. 5 smokers 21 years old or older are randomly selected, and the number of smokers who started smoking before 21 is recorded. a) The probability that at least 2 of them started smoking before 21 years of age is b) The probability that at most 4 of them started smoking before 21 years of age is c) The probability that exactly 3 of them started smoking before 21 years of age is
Answer:
a) The probability that at least 2 of them started smoking before 21 years of age is 0.1875 = 18.75%.
b) The probability that at most 4 of them started smoking before 21 years of age is 0.96875 = 96.875%.
c) The probability that exactly 3 of them started smoking before 21 years of age is 0.3125 = 31.25%.
Step-by-step explanation:
For each smoker, there are only two possible outcomes. Either they started smoking before 21 years old, or they did not. Smokers are independent, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
50% of adult smokers started smoking before 21 years old.
This means that [tex]p = 0.5[/tex]
5 smokers 21 years old or older are randomly selected, and the number of smokers who started smoking before 21 is recorded.
This means that [tex]n = 5[/tex].
a) The probability that at least 2 of them started smoking before 21 years of age is
This is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{5,0}.(0.5)^{0}.(0.5)^{5} = 0.03125[/tex]
[tex]P(X = 1) = C_{5,1}.(0.5)^{1}.(0.5)^{4} = 0.15625[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.03125 + 0.15625 = 0.1875[/tex]
The probability that at least 2 of them started smoking before 21 years of age is 0.1875 = 18.75%.
b) The probability that at most 4 of them started smoking before 21 years of age is
This is:
[tex]P(X \leq 4) = 1 - P(X = 5)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{5,5}.(0.5)^{5}.(0.5)^{0} = 0.03125[/tex]
[tex]P(X \leq 4) = 1 - P(X = 5) = 1 - 0.03125 = 0.96875[/tex]
The probability that at most 4 of them started smoking before 21 years of age is 0.96875 = 96.875%.
c) The probability that exactly 3 of them started smoking before 21 years of age is
This is P(X = 3). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{5,3}.(0.5)^{3}.(0.5)^{2} = 0.3125[/tex]
The probability that exactly 3 of them started smoking before 21 years of age is 0.3125 = 31.25%.
Will give Brainly plz answer fast
Answer:
sr for messy handwriting
Help me pls do correct it correctly
Answer:
Complementary Angles - 3rd one (at the bottom)
Supplementary Angles - 2nd one (at the top-right)
Vertical Angles - 1st one (at the top-left)
Feel free to mark it as brainliest :D
I’m sorry to whoever has to do edg next year
Select the correct answer.
Which graph models the function f(x) = 2(x – 4)^2 + 3
Answer:
the graph is going to be facing up not down
Heston Wagons reported in June that 20 out of 500 wagons failed inspection. In July, they reported that 25 out of 625 wagons failed inspection. Which proportion can be used to represent the wagon failures? StartFraction 25 over 20 EndFraction = StartFraction 500 over 625 EndFraction StartFraction 20 over 25 EndFraction = StartFraction 625 over 500 EndFraction StartFraction 20 over 500 EndFraction = StartFraction 625 over 25 EndFraction StartFraction 20 over 500 EndFraction = StartFraction 25 over 625 EndFraction
Answer:
20/500 and 25/625
Step-by-step explanation:
1. 20 of 500 failed, which is 20/500
2. 25 of 625 failed, which is 25/625
Answer:
its d
Step-by-step explanation:
i did the test