Please help and show the formula used, along with all substitutions and calculations needed
Answers
Answer:
The given triangle is right.
Step-by-step explanation:
The Pythagorean converse theorem states the following: if one can substitute the sides of a triangle into the following formula:
[tex]a^2+b^2=c^2[/tex]
If the equation formed is a true statement, then the triangle is right, if it is not, then the triangle is not right. In this case, one is not given the angle that has the right angle, however, the hypotenuse is the longest side in a right triangle. Therefore, if the triangle is right, then the hypotenuse is the longest, then side (c) is the longest side in the given triangle. Then side (a) and (b) are the legs, the sides adjacent to the right angle. It doesn't matter which sides one substitutes for these parameters.
Substitute in the given values and solve to prove the triangle is right,
[tex]a^2+b^2=c^2\\[/tex]
Substitute,
[tex](9.6)^2+(12.8)^2=(16)^2[/tex]
Simplify,
[tex]92.16+163.84=256[/tex]
[tex]256=256[/tex]
The given triangle is right since its sides follow the Pythagorean converse theorem.
Related Questions
Find the equation of the circle whose center and radius are given.
center ( 7, -3), radius = 7
Answers
Answer:
(x-7)^2 + (y+3)^2 = 49
Step-by-step explanation:
The general equation for a circle is given by
(x-h)^2 + (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
(x-7)^2 + (y- -3)^2 = 7^2
(x-7)^2 + (y+3)^2 = 7^2
(x-7)^2 + (y+3)^2 = 49
Answer;
(x-7)^2 + (y+3)^2 = 49
Step-by-step explanation:
The general equation for a circle is given by
(x-h)^2 + (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
(x-7)^2 + (y- -3)^2 = 7^2
(x-7)^2 + (y+3)^2 = 7^2
(x-7)^2 + (y+3)^2 = 49
What is 3^5 as a product of the same factor?
Answers
Answer:
9
Step-by-step explanation:
Trigonometry is the study of____________
Answers
Answer:
relationships between side lengths and angles of triangles
Step-by-step explanation:
Answer:
Study of the angles and triangles
Step-by-step explanation:
A line is the locus of points that:
Answers
If helped mark me the brainiest!!
2 7. Which numbers in the set {2,3,4,5} are solution(s) to the inequality 16 - 3x > 5?
A. 2 only
B. 3 only
C. 2 and 3
D.3,4, and 5
Answers
WILL MARK BRAINLIEST PLEASE HELP ASAP !!!
Find the measure of the missing angles.
Answers
Answer:
b=70 degree (by vertically opposite angle)
and c can be calculated as
b+c=180°
c=180°-b
c= 180°-70°
c= 110°
hence b=70° and c=110°
A car salesman sold three hybrid cars last week. The cars come in red, white, and black. A sale is listed as RWB if a red car was sold first, a white
was sold second, and a black car was sold third.
A list of all possible outcomes is shown. Each outcome has equal probability.
{RRR, RRW, RRB, RWR, RWW, RWB, RBR, RBW, RBB, WWW, WWR, WWB, WRR,
WRB, WRW. WBR, WBB, WBW, BBB, BBR, BBW, BWR, BWW, BWB, BRW, BRR, BRB)
What is the probability that the cars sold last week included a white car or the first car sold was red?
Answers
Answer:
23 / 27
Step-by-step explanation:
Total possible outcomes :
{RRR, RRW, RRB, RWR, RWW, RWB, RBR, RBW, RBB, WWW, WWR, WWB, WRR, WRB, WRW. WBR, WBB, WBW, BBB, BBR, BBW, BWR, BWW, BWB, BRW, BRR, BRB) = 27
Required outcome : 23
{RRR, RRW, RRB, RWR, RWW, RWB, RBR, RBW, RBB, WWW, WWR, WWB, WRR, WRB, WRW. WBR, WBB, WBW, BBW, BWR, BWW, BWB, BRW) = 23
Required outcome / Total possible outcomes
= 23 / 27
PLS HELP! WILL MARK BRAINLIEST!
Mr. Smith makes a pasta sauce
He mixes tomato concentrate: olive oil at a ratio of 3: 1
How many liters of tomato concentrate does he need to mix if he adds 3 liters of olive oil?
Answers
Answer:
9 litres of tomato concentrate
PLZZZZZZZZZZZZZ HELPPPPPPPPP
Answers
Answer:
Given, Distributive property, Subtraction Property, Division Property, Prove
Step-by-step explanation:
This is what I think the answer is. So if the answer is wrong than I don't know
What does it mean to square a number? Provide an example to support your answer.
Answers
Answer:
When squaring a number it is essentially taking a number and multiplying it by itself. For example, 5^2 is 5×5 (=25).
Solve for the missing side to the tenths place ( ignore the letters labeled on the triangle, they are labeling the angles not the sides)
c=
Answers
Using pythagorus theorem.
Answer:
120 broAB ayi dónde es 120 desde A asta B
Which of the following is the graph of the inequality y < 3x+ 1?
А
B
C
D
5
To (1.4)
(1.4)
(1.4)
5
(1.4)
(0.1)
(0.1)
€ (0, 1)
(0, 1)
-6
5
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answers
Testing (1, 4) which on the line. 4 = 3x1 + 1 is true so the line is solid.
Testing (0, 0) which is below the line. 0 = 3x0 + 1 is true so the origin must be in the shaded region.
no links please!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
[tex]2 < -\frac{x}{3}[/tex]
To "undo" the division, multiply both sides of the inequality by 3.
[tex]6<-x[/tex]
To find x, multiply both sides by -1, remembering that when you multiply (or divide) an inequality by a negative number, you have to switch the direction of the inequality sign (to avoid not telling the truth!!!).
[tex]-6>x[/tex]
Finally, it's a good idea to write the solution so the subject of the math sentence is x, not -6.
[tex]x<-6[/tex]
This isn't some kind of magic. If -6 is bigger than x, then x is smaller than -6.
What is the solution to the equation. |x- 4| = 17?
A. x= -13 or x= 21
B. x= 21
c. x= -21 or x= 13
D. No solutions exist.
Answers
-13 - 4 (-13+ -4) is equal to -17. Due to absolute value bars, it is now positive 17.
21-4 = 17
Step-by-step explanation:
what is the best choice for value y?
Answers
Answer:The answer is second option
[tex] {x}^{10 - 3} \\ {x}^{7} [/tex]
Which is a true statement based on the dot plots below?
10 20 30 40 50 60
10 20 30 40 50 60
Set A
Answers
Find the measurement of the base.
3.5 in
Area = 12.6 in?
Answers
12.6 divided by 3.5
= 12.6/3.5
= 3.6
3.6 x 3.5
= 12.6 =12.6
help fast please !!!!
Answers
Answer:
C=13
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2} \\\\5^{2} +12^{2} =c^{2}[/tex]
Which is the slope of the line that passes through the points (3,17) and (7,25)?
Answers
Answer:
The slope is 2.
Step-by-step explanation:
NEED HELP PLEASE I NEED THE ANSWER
Answers
Answer:
Step-by-step explanation:
The 2 lines are y=2x+12 (slope of 2 y-intercept at 12) and y=26 (line at y=26).
intersection= (7,26)
Emily is buying new cold-weather gear for her family. She pays $100 for 5 pairs of waterproof gloves that each cost the same amount. Four of the pairs of gloves are mittens. Which expression represents the total cost of the 4 pairs of mittens?
Answers
5÷100=x
x=20
100-20=80
80= the total cost of the 4 pairs of mittens
X=20
4x=80
This should be the expression
List the next three numbers for the sequence:
34, 102, 408, 2040, ...
Answers
Answer:
12240
85680
685440
Step-by-step explanation:
We know that the sequence is growing rapidly
To see how rapidly divide the second term by the first term
102/34 =3
Check the third term divided by the second term
408/102 =4
Check the fourth term divided by the third term
2040/408=5
To get the second term, multiply by 3, to get the third term multiply by 4
to get the fourth term multiply by 5
to get the nth term multiply by (n+1)
The 5th term would be multiplied by 6
2040 *6 =12240
The 6th term by 7
12240*7=85680
The 7th term by 8
85680*8=685440
Part B Liam buys a pair of jeans that cost $29.99 and 5 shirts that each cost the same amount of money. He spends a total of $94.94. • Write an equation or inequality to represent the cost of each shirt that Liam buys. Define all variables used. • What is the cost of each shirt that Liam buys? Show your work.
Answers
Given :
Liam buys a pair of jeans that cost $29.99 and 5 shirts that each cost the same amount of money.
He spends a total of $94.94.
Solution :
Let, cost of each shirt is $ x.
It is given that there are 5 shirt and each cost the same.
Also, the sum of 5 shirt and a pair of jeans is equal to $94.94 .
So,
[tex]29.99 + 5x = 94.94\\\\5x = 94.94 - 29.99\\\\x = \$ 12.99[/tex]
Therefore, the cost of each shirt that Liam buys is $12.99 .
What is the length of a leg of a right triangle if the hypotenuse is 9 inches and the other leg is 8 inches.
Answers
Answer:
√17 or 4.12 inches
Step-by-step explanation:
√9²-8²=√81-64=√17 inches
or 4.12 inches
Math is hard -10/-10
Answers
Answer:
1 yup the answer is 1
Francis is buying a new coffee table that is 45% off. The original price of the coffee table was $166. Which option gives the best estimate for the price after the discount?
A.$70
B.$85
C.$120
D.$100
Answers
Answer: D
Step-by-step explanation:
Question 2 (1 point)
If y varies directly as x and y = 3 when x = 12, what is the value of y when x = 18?
Answers
Answer:
18/4
Step-by-step explanation:
If y varies directly as x then the equation is y = kx
If y =3 when x = 12 then the equation is 3 = 12k => k = 3/12=> k = 1/4
The value of y when x = 18 is,
y = k *&x
= (1/4) * 18
= 18/4
then the equation is y = 18/4
HELPPPPPPPPPPP MEEEEEE
Answers
Answer:
Answer is D
Step-by-step explanation:
What is the length of side c rounded to the nearest tenth of an inch?
17 in.
19 in.
С
The length of side c rounded to the nearest tenth of an inch is in.
Answers
Answer:
Step-by-step explanation:
This is a right triangle, and side c, our unknown, is the hypotenuse, the longest side in a right triangle. Using Pythagorean's Theorem, we have
[tex]17^2+19^2=c^2[/tex] which simplifies to
[tex]289+361=c^2[/tex] and
[tex]650=c^2[/tex] and
c = 25.5"
Question 21 of 25
Which of the following is the coefficient in the algebraic expression 12x+ 24?
O A. 4
O B. x
C. 12
D. Z
SUBMIT
Answers
Answer:
12
Step-by-step explanation:
Coefficient is the number before the variable