Select the procedure that can be used to show the converse of the
Pythagorean theorem using side lengths chosen from 3 feet, 4 feet, 5 feet,
and 6 feet.
A. Knowing that 32 +42 = 52, draw the 3-foot side and the 4-foot side
with a right angle between them. The 5-foot side will fit to form a
right triangle.
B. Knowing that 32 +52 + 62, draw the 3-foot side and the 5-foot side
with a right angle between them. The 6-foot side will fit to form a
right triangle.
C. Knowing that 32 + 42 = 52, draw any two of the sides with a right
angle between them. The third side will fit to form a right triangle.
D. Knowing that 42 + 52 < 62, draw the 4-foot side and the 5-foot side
with a right angle between them. The 6-foot side will fit to form a
right triangle
Answer:
a
Step-by-step explanation:
Find the exact length of the third side.
65
16
Consider the arithmetic sequence:
10, 12, 14, 16, ...
If n is an integer, which of these functions generate the sequence?
Choose all answers that apply:
a(n) = 16 + 3n for n 2-2
A
b(n) = 14 + 2n for n > -1
c(n) = 10 + 3n for n > 0
Dd(n) = 8 + 2n for n > 1
Answer:
If n is an integer, the function that generate the sequence 10, 12, 14, 16, ... is [tex]\mathbf{d(n)=8+2n\:for\:n>1}[/tex]
Option D is correct option
Step-by-step explanation:
We are given the arithmetic sequence:
10, 12, 14, 16, ...
If n is an integer, which of these functions generate the sequence?
We need to find the nth term for the given sequence
The nth term for arithmetic sequence will be: [tex]a_n=a_1+(n-1)d[/tex]
where aₙ is nth term, a₁ is first term and d is common difference
Looking at the sequence a₁ = 10 and d = 2
So, nth term will be:
[tex]a_n=a_1+(n-1)d\\a_n=10+(n-1)2\\a_n=10+2n-2\\a_n=8+2n[/tex]
So, nth term is: [tex]a_n=8+2n[/tex]
In the options below, the only correct answer is option D. so, we can write nth term as: [tex]d(n) = 8 + 2n\: for\: n > 1[/tex]
So, If n is an integer, the function that generate the sequence 10, 12, 14, 16, ... is [tex]\mathbf{d(n)=8+2n\:for\:n>1}[/tex]
Option D is correct option
Answer:
D) 8 + 2n for n > 1
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words.
Simplify the following expression.
30
simplified form:
Reset
Next
Answer:
anything that has a [power of zero] would be 1.
Step-by-step explanation:
so the answer is 1.
The simplification of given expression results as 3⁰ = 1.
What are the rules of exponents?Some of the rules of exponents are as follows,
The product of two exponents having the same power is equal to the power of their base multiplied.
The product of two exponents having the same base is equal to the sum of the powers of different exponents to the same base.
The given expression is 3⁰.
It can be solved by rules of exponents.
It can be simplified as below,
The base and power in the given expression are as 3 and 0.
Now, the power 0 to any base is obtained as 1.
Thus, 3⁰ = 1.
Hence, the given expression can be simplified as 1.
To know more about exponents click on,
https://brainly.com/question/5497425
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-3r +9 = -4r +5
what's r?
Answer:
-4
Step-by-step explanation:
-3r+9=-4r+5
-3r+4r=5-9
r=-4
Answer:
I got r=-1
Step-by-step explanation:
first I had 3 R over the = and into -4r
second I subtracted the 5 over the = and onto the 9
now you have: 4=-1r
divide the -1 over to have a positive R
and a -4
HELP HELP ME PLEASE POINTS WILL BE GIVEN
Answer:
Step-by-step explanation:
The third one i think
Answer:
the second one
Step-by-step explanation:
sin is opposite over hypotenuse
the hypotenuse is the longest side.
The side opposite of F is equal to 96 and the hypotenuse is 100 so sin f is 96/100 or .96
the opposite side of g is equal to 28 and the hypotenuse is 100 so sin G is equal to 28/100 or .28
can someone help me please?
Answer: > (1st answer choice)
Step-by-step explanation: 0.9 is greater than 0.81
(a) The probability that an automobile being filled with gasoline will also need an oil change is 0.35; the probability that it needs a new oil filter is 0.45, and the probability that both the oil and filter need changing is 0.25. (i) If the oil had to be changed, what is the probability that a new oil filter is needed? (ii) If a new oil filter is needed, what is the probability that the oil has to be changed? (b) 3 Cards are drawn in succession without replacement from an ordinary deck. Find the probability of the event A1 ∩ A2 ∩ A3, where A1 is the event that the first card is RED ace, A2 is the event that the second card Queen or King, and A3 is the event that the third card which is greater than 3 and less than Eight?
Answer:
0.714 ; 0.556 ; (A1 n A2 n A3) = 0
Step-by-step explanation:
Given that :
P(oil) = 0.35
P(filter) = 0.45
P(oil n filter) = 0.25
1)
P(filter | Oil) = P(oil n filter) / P(oil)
P(filter | Oil) = 0.25 / 0.35 = 0.714
11)
P(Oil | filter) = P(oil n filter) / P(filter)
P(Oil | filter ) = 0.25 / 0.45 = 0.556
Number of red aces = 2
Queen or king = 4 + 4 = 8
Number on card greater than 3 and less than 8 = {4,5,6,7} = 4 card ; for 4 suits = 4 * 4 = 16
Total number of cards in deck = 52
Choosing without replacement :
Hence,
A1 = 2 / 52
A2 = 8 / 51
A3 = 16 / 50
(A1 n A2 n A3) ;this means card common to all three events.
However, (A1 n A2 n A3) = 0 because ;
1.) No red ace card is greater than 3 and less than 8.
11.) An ace card can neither be a king nor a queen
The line segment OA is congruent to which line segment?
A.) OB
B.)PB
C.)OP
D.)PM
help me and ill mark you as brainliest
Answer:
Y = 24x
Step-by-step explanation:
Using the y = mx+ b
Good luck
Please help. 30 points!
Answer:
first one is the right answer
Answer:
4x-3
Step-by-step explanation:
You have 4 x values and 3 negative values. So that makes your answer 4x-3.
Add Solve: n + 7 = 31* Solve: C
Answer:
n= 24
Step-by-step explanation:
n +7 =31
Both side -7
n+7 -7 =31-7
n= 24
Which expression can be used to find the zeros of the function f(x) = 4x2 + 2x - 12?
Answer:
x=-2 and x=-12
(-12,-2)
18 stamps on 3 sheets = ? stamps per sheet
Answer:
6 stamps per sheet
Step-by-step explanation:
hope this helps
Answer:
6 stamps per sheet.
Step-by-step explanation:
you would do 18 divided by 3 and you get 6.
5
Graph y = -2- 9.
y
9 -
8-
7
6-
4+
3-
2+
1+
-9-8-7 -6 -5 -4 3-2
2 3 4 5 6 7 8 9
-2 +
-3
-4+
-5
-6
-7+
-91
Answer:
6
Step-by-step explanation:
last month a class collected 240 cans for a canned-food drive. this month the class collected 320 can. what was the percent increase in the numbers of cans collected
Mathis hard and I need help
Answer:
what do you need help with
Step-by-step explanation:
Answer:
Aight what kind?
Step-by-step explanation:
If a ball is thrown straight up into the air with an initial velocity of 85ft/s its height in feet after t seconds is given by y=85t - 16t^2. Find the average velocity for the time period beginning when t=1 and lasting 0.1, 0.01, 0.001
Answer:
[tex]51.4\ \text{m/s}[/tex]
[tex]52.84\ \text{m/s}[/tex]
[tex]52.984\ \text{m/s}[/tex]
Step-by-step explanation:
The function of displacement is
[tex]y=85t-16t^2[/tex]
[tex]\text{Average velocity}=\dfrac{\text{Total displacement}}{\text{Time elapsed}}[/tex]
Lasting 0.1 s
[tex]v_1=\dfrac{y(1.1)-y(1)}{1.1-1}\\\Rightarrow v_1=\dfrac{85\times 1.1-16\times 1.1^2-(85-16)}{0.1}\\\Rightarrow v_1=51.4\ \text{m/s}[/tex]
The average velocity is [tex]51.4\ \text{m/s}[/tex]
Lasting 0.01 s
[tex]v_2=\dfrac{y(1.01)-y(1)}{1.01-1}\\\Rightarrow v_2=\dfrac{85\times 1.01-16\times 1.01^2-(85-16)}{0.01}\\\Rightarrow v_2=52.84\ \text{m/s}[/tex]
The average velocity is [tex]52.84\ \text{m/s}[/tex]
Lasting 0.001 s
[tex]v_3=\dfrac{y(1.001)-y(1)}{1.001-1}\\\Rightarrow v_3=\dfrac{85\times 1.001-16\times 1.001^2-(85-16)}{0.001}\\\Rightarrow v_3=52.984\ \text{m/s}[/tex]
The average velocity is [tex]52.984\ \text{m/s}[/tex]
Which expression is equivalent to Syntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'.
Answer:
5x - 6
Step-by-step explanation:
a store received 12 boxes of doughnuts. Each box contained 12 doughnuts. Which expression represents how many doughnuts there are in all?
Answer:
12x12=144 doughnuts
Step-by-step explanation:
Solve the equation.
20 = p + 11
Answer:
p:9
p +11=9
p=20-11=9
this is your answer
please help me please will give brainliest to
Answer:
B.
step by step explanationI hope it's help
i need help with this question
Answer:
D.
Step-by-step explanation:
The y-intercept is 1, and if you multiple each x-value by 3 then add 1, you get your y-values.
Which best describes the triangle
Answer:
B.
Step-by-step explanation:
Cheryl is now x years old.
Her father is 24 years older the. Cheryl
Her brother is 2 years younger than Cheryl. Find her brother's age in terms of x.
Please help!
Answer: x-2
Step-by-step explanation:
Given
The present age of Cheryl is x years
Father's is 24 years older than Cheryl i.e. x+24
her brother is 2 years younger than her i.e. Present age of Cheryl - 2 years
=(x-2) years
A yacht travels 20 miles in 60 minutes. How far does the yacht travel per minute? *
1. Jada made 14 cups of blueberry jam and divided the jam equally among 8
containers. How much jam went in each container? *
Answer: 1/75!
14/8 = 1.75
Find the value of X in this proportion.
- 27/4
- 18
- 9/8
- 9/2
Answer:
the answer is 9/2
Step-by-step explanation:
So you have (x+3)/6=5/4
Cross multiply and it will turn to this
4(x+3)=6×5 which is 30
= 4x+12=30
4x=30-12
4x=18
Divide both sides by 4 to make x subject of the formula
then your answer is 9/2
Can someone help?
Please :)
Answer:
i think the last one, or b. mostly the last one
Solve:
18m = 6
A.
B.
C.
D. m = 3
Answer:
m_3
Step-by-step explanation:
divide both sides by 6
