Answers
Problem 1 (on the left)
Answers:[tex]10^2+12^2 = \boldsymbol{244}\\\\14^2 = \boldsymbol{196}\\\\\text{What kind of triangle?} \textbf{ Acute}[/tex]
-------------------------------
Explanation:
The converse of the pythagorean theorem can be used to determine what kind of triangle we're dealing with.
Here are 3 important rules to have in your notes:
[tex]\cdot \text{If } a^2+b^2 > c^2 \text{ then the triangle is } \underline{\text{acute}}\\\\\ \cdot \text{If } a^2+b^2 < c^2 \text{ then the triangle is } \underline{\text{obtuse}}\\\\\cdot \text{If } a^2+b^2 = c^2 \text{ then the triangle is a } \underline{\text{right}} \text{ triangle}\\\\[/tex]
The third rule is probably the most familiar as it's the pythagorean theorem itself.
In this case, we have [tex]a^2+b^2 = 10^2+12^2 = 244[/tex] larger than [tex]c^2 = 14^2 = 196[/tex], which fits the first rule mentioned.
=========================================================
Problem 2 (on the right)
Answers:[tex]8^2+15^2 = \boldsymbol{289}\\\\17^2 = \boldsymbol{289}\\\\\text{What kind of triangle?} \textbf{ Right}[/tex]
-------------------------------
Explanation:
We follow the same idea as problem 1. This time, both [tex]a^2+b^2[/tex] and [tex]c^2[/tex] result in the same value (289). Therefore, [tex]a^2+b^2 = c^2[/tex] is a true equation, and we go for the third rule mentioned earlier. An 8-15-17 right triangle is one of the infinitely many pythagorean triples.
Related Questions
Convert the binary number 10101 to its base 10 equivalent.
12
21
22
31
Answers
[tex]\\ \sf\Rrightarrow (10101)_2[/tex]
[tex]\\ \sf\Rrightarrow 1\times 2^0+0\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]
[tex]\\ \sf\Rrightarrow 1+4+16[/tex]
[tex]\\ \sf\Rrightarrow (21)_{10}[/tex]
16. Multiply the polynomials: (x + 3)(x2 – 5x + 12)
Answers
Find the slope of the line that includes the ordered pairs.
Find the perpendicular slope of the given ordered pairs.
Answers
b) the perpendicular slope of the line: 11/5
52 as a product of prime factors.
Answers
Answer:
13 *2*2
or
13*2^2
Step-by-step explanation:
52 = 26*2
But 26 is not prime
52 = 13*2 *2
52 = 13 * 2^2
Step-by-step explanation:
hope it helped!! ..............
10. Find the value of x.
(5x+12)° (3x+8)°
10
15
20
25
Answers
Answer:
3x+8+5x+12
8x+20=180
A. 80+20=100 No
B. 120+20=140 No
C. 160+20=180 Yes
D. 200+20=220 No
The Answer is C
Hope This Helps!!!
Answer:
x = 20
Step-by-step explanation:
The triangle has 2 congruent sides and is therefore isosceles with 2 congruent base angles, both 3x + 8
5x + 12 and 3x + 8 lie on a straight line and sum to 180° , that is
5x + 12 + 3x + 8 = 180
8x + 20 = 180 ( subtract 20 from both sides )
8x = 160 ( divide both sides by 8 )
x = 20
someone help please :)
Answers
Answer: not shaded i think
Step-by-step explanation:
Answer:
Not shaded, because the equation is not true when you plugged in ( 0,0)
Step-by-step explanation:
9,3,1, what is the sequence and what is it equal to?
Answers
Answer: the sequence is to divide by 3 and it gets smaller and smaller by dividing by three I don't think there is an end to it.
Step-by-step explanation:
9/3=3
3/3=1
1/3=1/3
1/3/3=1/9
1/9/3=1/27
1/27/3=1/81
and I think you know what I mean by now right?
During a school race, Sonic ran around the entire track 5 times in 10 seconds. Everyone was shocked by his speed, which was equal to 321 m/s. FINISH R D In the diagram above, D = 2R. What is the radius of the round part of the track, R, equal to? Use n = 3.14. The answer should be rounded to 3 significant figures.
63.4
62.5
61.4
60.1
Answers
Step-by-step explanation:
there is no diagram here.
I assume that the race track is a rectangle in the middle and two half-circles at the left and right ends, and that the length of the rectangle is D = 2R. which makes the rectangle actually a square, as the width is the diameter of the (half-)circles, which is also 2R.
Sonic ran the track 5 times in 10 seconds with a speed of 321 m/s.
that means he ran 10×321 m in 10 seconds = 3210 m.
so, 5 times the track is 3210 m, which means that the track itself is 3210/5 = 642 m long.
and based on the assumptions above the track consists of 2 times the length of the rectangle (or square), and the full circumference of a circle with radius R (2 half-circles make one full circle).
we know the formula for the circumference of a circle :
2×pi×radius
so, we have then
642 = 2×2R + 2×pi×R = R×(4 + 2×pi)
R = 642 / (4 + 2×pi) = 62.43201701...
and when using the requested "cut-off" pi = 3.14, we get
R = 642 / (4 + 2×3.14) = 62.45136187...
and that is rounded 62.5
so, the second answer option is correct.
Find the missing factor
Answers
Answer:
[tex](x^4y^5)(x^2y^4)[/tex]
Step-by-step explanation:
Keep these things in mind:
[tex]x^3\times x^3=x^{3+3}=x^6\\\\(x^3)^3=x^{3\times3}=x^9[/tex]
Using those, simplify the left side of this equation:
[tex](x^2y^3)^3\\x^6y^9[/tex]
Now we know what the exponents need to become, so we can find the difference between those and what we have on the right:
[tex]6-4=2\\9-5=4[/tex]
We need to add a 2 to the x, and add a 4 to the y.
[tex](x^4y^5)(x^2y^4)[/tex]
California Cafe has a maximum capacity of
45 customers. If there are currently 27
customers in the cafe, how many more
customers can they seat?
Answers
The tallest man living is 251cm. How many meters tall is he?
Answers
In meters he would 2.51 meters.
PLEASE I AM IN DESPERATE NEED OF HELP
Answers
Answer:
A
Step-by-step explanation:
The open side means thats number is bigger. Ex: 1 < 2 or 2 > 1
Hope that helps
What is the slope of the line that goes through the points (1,-5) and (4,1)?
A. -4/3
B. -3/4
C. 1/2
D. 2
Answers
Answer: m = 2
Step-by-step explanation:
What we know:
The slope needs to pass through the points (1, -5) and (4, 1)There are 4 potential slopes given to us- only one is correctWe need to find the slope and make sure it is an optionHow to solve:
By using the slope equation and the two points given to us, we can calculate the slope.
Process:
Set up equation (y2 - y1) / (x2 - x1)Substitute (1 +5 ) / (4 - 1)Simplify 6 / 3Simplest form 2/ 1 =Slope = 2
Solution: m = 2
A box of cereal weighs 600 grams. How much is this weight in pounds? Round your answer to the nearest hundredth.
Answers
Answer:
1.300 correct me if I'm wrong
Explain how you know the right triangles are similar.
Answers
Answer: You should ask an expert, or get a verified expert answer; but I will try my best you can visualize a triangle by plotting down x y in the shape of a triangle try evaluating the expression when you plot your right triangle.
Step-by-step explanation: to do this use what you have already learned about right triangles and visualize 3 different letters that correspond to numbers. (Don't use this answer unless you think it's correct). For I am not an expert
will give brainliest Select the correct locations on the graph.
Select the lines that represent functions.
Answers
Pleaseeeee helpppp asapp
Answers
Answer 1-5 for each! I’ll mark as brainiest
Answers
Answer:
4 because I had this quiz and I got 80
You are the CFO of a non-dividend paying firm that currently has excess cash reserves. You are preparing for an internal management meeting where dividends are on the agenda. You know that the CEO favors the commencement of a dividend program. You, however, oppose any dividend plan at this time. Write a good argument that you can use in the meeting to support your position.
Answers
The argument that can be used to oppose the dividend plan is that excess reserves can be used in financing positive NPV projects.
It should be noted that the excess reserves can increase the firm's value and the shareholders value.
Also, it should be noted that the shareholders are not required to pay any tax on an increase in their share value while the dividend payment results in tax payment.
In conclusion, the excess reserves can be used in generating further income for the company.
Learn more about dividend on:
https://brainly.com/question/3161471
10)
There are 14 black pens out of 25 pens. What percent of the pens are black?
Answers
Answer:
Step-by-step explanation:
14 dived by 25 is 56%
please solve quickly for 50 points
Answers
B: 27cm
C: 30,000cm
Hope this helps!
Select the correct answer.
Estimate the solution to the following system of equations by graphing.
3x + 5y = 14
6x - 4y=9
Answers
Answer:
Approximately (2, 1)
See image
Step-by-step explanation:
Rearrange each equation so it is ready to be graphed on an x-y-axis (see image) look for the point where the two lines cross. This is the solution for the system of equations.
Answer: 5/2, 4/3
explanation: got it from a different verified answer
If f(x) = -3 and g(x) = 4x2 + x - 4, find (f+9)(x).
2
A.
X
-1
A. 4x2 + 2x-1
B. 4x2 +
-7
C. 4x2 +2x-1
7
X-1
D. 6x2 - 7
Answers
Step-by-step explanation:
(f+g)(x) = f(x) + g(x) =
x/2 - 3 + 4x² + x - 4 = 4x² +3x/2 - 7
so, yes, B is the right answer.
Help help correct answers only
Answers
is the circumference
Two plus two equal four
Answers
Answer:
Two plus two equals sixxxxxxx
Answer it please ❤❤❤❤❤❤❤❤❤❤ I really appreciate if u answer it !
Answers
Answer:
Josh has 60% of $600 that is $360
Daniel has $320
So Josh has more by $40
5)
Bianca has 43 votes
Carlos has 38% of the 150 vote that is 57
So Carlos has 14 more votes than Bianca
Step-by-step explanation:
You have learned that to find 1% of a number means finding 1/100 of it. Similarly, finding 60% of a number means finding 60/100 (or 6/10) of it. 60% of $600 → 60% × $600. 60% of $600 → 0.6 × $600.
Plzz help meeee plzzzz help
Answers
Answer: A. 20%
Step-by-step explanation:
First, to find the total number of teachers, we can add 25+32+18+5+20=100
Next, we divide the number of teachers in 2014 (20) by the total number of teachers (100) as follows:
20 ÷ 100 = 0.2
Finally, to make 0.2 a percentage, we can multiply 0.2 X 100 = 20
Therefore, the correct answer is A.
y/5 = 2/5 im not sure how to complete this question
Answers
Answer: y is 2
Step-by-step explanation:
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve for y ~
[tex] \sf \dfrac{y}{5} = \dfrac{2}{5} [/tex][tex] \sf y = \dfrac{2}{ \cancel5} \times \cancel5[/tex][tex] \sf y = 2[/tex]Value of y is 2
Which equation best represents the line of best fit for the scatter-plot?
Answers
Will give brainliest and 100 points if you answer correctly plz help!
Write the sentence below as an equation or inequality.
Craig has six less than half of the amount of dollars Bo has.
Group of answer choices
x
=
y
2
−
6
x
=
6
−
y
2
x
=
2
y
−
6
x
=
6
−
2
y
Flag question: Question 2
Question 21 pts
Write the sentence below as an equation or inequality.
To be flagged in a system you need to either score less than ten points, or greater than one hundred points.
Group of answer choices
10
<
x
<
100
10
≤
x
≤
100
10
≥
x
≥
100
10
>
x
>
100
Flag question: Question 3
Question 31 pts
Simplify:
−
5
x
3
+
6
y
2
+
8
x
3
−
6
y
Group of answer choices
3
x
3
+
6
y
2
−
6
y
−
3
x
3
+
6
y
2
−
6
y
11
x
3
+
6
y
2
−
6
y
−
11
x
3
+
6
y
2
−
6
y
Flag question: Question 4
Question 41 pts
Simplify:
3
x
5
+
4
x
2
−
8
x
5
+
3
x
2
−
8
x
Group of answer choices
5
x
5
+
7
x
2
−
8
x
−
5
x
5
+
7
x
2
−
8
x
5
x
5
−
7
x
2
−
8
x
−
11
x
5
+
7
x
2
−
8
x
Flag question: Question 5
Question 51 pts
Solve:
8
x
+
2
(
3
x
−
5
)
=
18
Group of answer choices
x = -2
x = -1
x = 1
x = 2
Flag question: Question 6
Question 61 pts
Solve:
(
4
x
+
5
)
5
=
9
Group of answer choices
x = -10
x = -5
x = 5
x =10
Flag question: Question 7
Question 71 pts
Write the inequality that represents the solution set to the given inequality below.
−
8
≥
x
−
2
≥
10
Group of answer choices
4
≤
x
≤
−
5
−
4
≤
x
≤
5
4
≥
x
≥
−
5
−
4
≥
x
≥
5
Flag question: Question 8
Question 81 pts
Write the inequality that represents the solution set to the given inequality below.
|
x
−
3
|
<
15
Group of answer choices
12
<
x
<
−
18
−
12
<
x
<
18
12
>
x
>
−
18
−
12
>
x
>
18
Flag question: Question 9
Question 91 pts
Determine if the relation below is a function.
(-3,2) ; (-3,5) ; (-3,-2) ; (-3,8)
Group of answer choices
Yes, this relation is a function.
No, this relation is not a function.
Flag question: Question 10
Question 101 pts
Determine if the relation below is a function.
(-5,1) ; (3,1) ; (5,1) ; (2,1)
Group of answer choices
Yes, this relation is a function.
No. this relation is not a function.
Answers
Answer:
Step-by-step explanation:
The answer options are too confusing to decipher. Here are my solutions:
1. Craig(x) has six less than half of the amount of dollars Bo(y) has.
x = (1/2)y - 6
Questions 2 through 8 are either missing the statement or are too difficult to interpret.
9. Not a function since there is more than one solution to x=-3.
10. Yes, the function is y = 1
Answer:
Step-by-step explanation:
this makes no sense but okay