Answer:
You can determine the type of triangle using the following facts related to the converse of the pythag theorem
if a^2 + b^2 > c^2, then it is an obtuse triangle
if a^2+b^2<c^2, then it is an acute triangle
finally, if a^2+b^2=c^2, then it is a right triangle
NOTE THAT C ALWAYS EQUALS THE LONGEST LENGTH OF THE TRIANGLE!!!
Solve the quadratic equation by taking square roots.
1. 2x 2 - 16 = 0
2. -5x2 + 9 = 0
3. 6x2 - 15 = 27
Answer:
see explanation
Step-by-step explanation:
1
Given
2x² - 16 = 0 ( add 16 to both sides )
2x² = 16 ( divide both sides by 2 )
x² = 8 ( take the square root of both sides )
x = ± [tex]\sqrt{8}[/tex] = ± 2[tex]\sqrt{2}[/tex]
------------------------------------
2
Given
- 5x² + 9 = 0 ( subtract 9 from both sides )
- 5x² = - 9 ( divide both sides by - 5 )
x² = [tex]\frac{9}{5}[/tex] ( take the square root of both sides )
x = ± [tex]\sqrt{\frac{9}{5} }[/tex] = ± [tex]\frac{3}{\sqrt{5} }[/tex]
-----------------------------------------
3
Given
6x² - 15 = 27 ( add 15 to both sides )
6x² = 42 ( divide both sides by 6 )
x² = 7 ( take the square root of both sides )
x = ± [tex]\sqrt{7}[/tex]
Which ordered pair is a viable solution if x represents the number of books he orders and y represents the total weight of the books, in ounces?
Answer:
The answer is "(0,0)"
Step-by-step explanation:
In the given some information is missing that is point so, the correct answer to this question can be described as follows:
book Number = x
overall Book weight = y
Neither x nor y can be negative. We have to be positive values, then.
Since x indicates the number of books, that must be a positive integer. It can not be a decimal number or fractional number.
So the only viable solution from the given options is (0, 0).
Answer:
6 ounces. Which ordered pair is a viable solution if x represents the number of books he orders
Step-by-s6 ounces.
I need help idk if it’s right
Answer:
A, f(x)=x-4
Step-by-step explanation:
f(x) is basically just another way to write y.
So we have the slope is 1, and the y intercept is -4, thus the equation is f(x)=x-4
Which interval contains a local minimum for the graphed
function?
O [-4,-2.5)
O 1-2, -1]
O [1, 2]
O [2.5, 4]
Please answer need help
PLEASE I NEED A LOT OF HELP
Answer:
x = 45°
Step-by-step explanation:
Look at the picture*
Jordan invested $8,500 in an account paying an interest rate of 4.1% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $13,070?
Answer:
52 days
Step-by-step explanation:
if compounding daily we can see what 1 year accumulates using the function
360 / interest rate = 360/4.1 = 87.8048780488 = 87.80 per day
We can use inverse of the balance profit to use the exact amount difference to then divide into the date of withdrawal
$13070- 8500 = 4570
4570/ 87.8048780488 = 52.04 = 52 days.
The quantities x and y are proportional.
pls help plsssss this work is due 20 min plsss helppp
Answer: 2.5
Step-by-step explanation:
y = rx
substitute numbers in and solve for r
if
y = 10
x = 4
then
10 = r4
r = 10/4 = 2.5
this works for all the other numbers and always gives r = 2.5
The chemicals in my swimming pool use a ratio of 2 tablets of chlorine for every 5 days. Which ratio shows the number of chlorine tablets needed for 20 days? A. 5 to 20 B. 8 to 20 C. 7 to 20 D. 3 to 20
Answer:
The answer would be B. 8 to 20
Step-by-step explanation:
You use 2 tablets per 5 days and there are 20 days 5/20=4 4 times you need to add tablets 4 times 2 is 8 which would make the ratio 8 to 20. Hope this helped. :)
Answer:
B
Step-by-step explanation:
Works on edge 2021
A.75/1 dollars per daythe cost $75 for each day.
B.1/25 dollars per day; the cost is $25 for each day.
C.1/150 dollars per daythe costs $1 for 150 days
D.25/1 dollars per daythe cost is $25 for each day
Answer:
D
Step-by-step explanation:
Count by 25. Its a no-brainer honestly.
need help asap!
15 points
Answer:
D
Step-by-step explanation:
8*320=2560
(2560)^1/3=8*5^1/3
Answer:
It's D (8[tex]\sqrt[3]{5}[/tex])
I won't do step-by-step because it's multiple choice.
Goodluck :)
Points are plotted at (-2, 2), (-2,4), and (2,-4). A fourth point is drawn such that the four points can be connected to form
a rectangle. What is the area of this rectangle?
8 square units
12 square units
16 square units
24 square units
The area is 24 square units
Identify the closest perfect squares less than and greater than the radicand below, respectively.
135
A. 25 and 36
B. 25 and 40
C. 30 and 36
D. 30 and 40
Travis has the following problem for homework:
82 - 16 x 4 + 18+ [(36/6) - 2]
His neighbor, Ted, says "just solve it working left to
right." Ted gets an answer of 51.
What is the correct answer? (Hint: Ted doesn't know
PEMDAS).
Answer:
The correct answer is -4
Step-by-step explanation:
First you have to solve what is in the parenthesis. So do 36/6 which is 6 and then subtract 2 to get 4. Then you have to do the multiplication so 16 x 4 and you get 64. then you can go left to right. 82-64+18+4 and when you do that you get -4
What is the value of p?
Answer:
p = 50°.
Step-by-step explanation:
To find the value of 'p', we will need to solve for the measure of the other angles of the triangle using the Supplementary Angles theorem.
Notice 140° at the top of the figure. This angle is supplementary to the top angle of the triangle. We can find this angle by:
180 - 140 = 40°.
Repeat this same step for the other angle.
180 - 90 = 90°.
Since the sum of all 3 sides = 180, we must subtract these from 180 to get the measure of 'p'.
180 - 90 - 40 = 50°.
Therefore, p = 50°.
a) write a formula for the perimeter p of the figure.
b) calculate the value of x if p=64
Answer:
[tex]x-2+x+10+x+11=64\\\\3x+19=64\\3x=64-19\\3x=45\\x=15\\[/tex]
Ritz can eat 6 apples in 15 minutes. How long does it take Ritz to eat 16
apples at the same rate? *
Hey there! I'm happy to help!
We see that it takes 15 minutes to eat 6 apples. But, we want to find how long it takes to get to sixteen apples. We need to multiply this by something to get our six apples to sixteen. Let's divide 16 by 6 to find what we need to multiply by.
16/6= 2 2/3
So, if we need to multiply our number of apples by 2 2/3 to get to sixteen, we also need to multiply our minutes by 2 2/3.
15(2 2/3)= 40
Therefore, it takes Ritz 40 minutes to eat sixteen apples at this rate.
One trick to solve problems like this fast is to multiply the two different things you see (minutes and apples) and then divide by the other thing you see (apples in this case). Then, you get the minutes.
15(16)=240
240/6=40
I hope that this helps! Have a wonderful day!
Answer:
40 minutes
Step-by-step explanation:
using the converstion factor
15min 15min times16 240
16ap. times = = = 40
6 apples 6 6
plz do them both since ur here now
Answer:
19 is d 26 is c 27 is b
Step-by-step explanation:
The first quartile of the data set below is
32, 13, 46, 28, 51, 62, 19, 38, 73, 47
our answer
Answer:
28
Step-by-step explanation:
When you put the numbers in order and then cut into 4 equal parts 28 is the first cut
sorry idk if that made sense or not
A same side interior angle of two parallel lines is three times the other same side interior angle. Find the measures of these two angles.
Answer: The angles are 135° and 45°.
Step-by-step explanation:
In this situation, we have two parallel lines that are cut by another line, and the interior angles are the ones created in between the parallel lines and the third line.
If both angles are on the same side, then we must have that the sum of the angles adds up to 180°.
If the angles are A1 and A2 we have:
A1 + A2 = 180°
and, we also know that A1 = 3*A2, we can replace it in the previous equation and get:
3*A2 + A2 = 180°
4*A2 = 180°
A2 = 180°/4 = 45°
then A1 = 3*45° = 135°
The angles are 135° and 45°.
Mya says when 10 is added to a number, the hundreds digit stays the same. Is Mya's statement always true?
Answer:
no
Step-by-step explanation:
When you add 1 90+10 it equals 2 00. The hundreds digit, underlined, changed.
Answer:
the answer is no
Step-by-step explanation:
500+100=600
Subtract.
5 3/4 - 2 7/8 HELLLLLLLPPPPPPPPPPP
Answer: HI, Hope this helps you dear!
Step-by-step explanation:
3/4 - 2 7/8 = 2.8755
Answer:
2 7/8
Step-by-step explanation:
5 3/4 = 23/4
2 7/8 = 23/8
23×2=46
4×2=8
46/8-23/8= 2 7/8
The numerical coefficient in "6m" is:
The numeral coefficient is the number ( the one that we know)- so its 6
How many ways can the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members?
a.
Permutation; Subscript 28 Baseline P Subscript 4 Baseline = 491,400
b.
Permutation; Subscript 24 Baseline P Subscript 4 Baseline = 255,024
c.
Combination; Subscript 28 Baseline C Subscript 4 Baseline = 20475
d.
Combination; Subscript 24 Baseline C Subscript 4 Baseline = 10626
Answer:
A)[tex]^{28}P_4}=491400[/tex]
Step-by-step explanation:
Total number of members = 28
We are supposed to find the no. of ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members
When 1 member is selected for Chairman position
So, 27 members will be left for the selection for the position of Vice chairman
When 1 member out of 27 is selected for Vice chairman position
So,26 members will be left for the selection for the position of secretary
When 1 member out of 26 is selected for secretary position
So,25 members will be left for the selection for the position of treasurer
Permutation relates to the act of arranging all the members of a set into some sequence or order,
The combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter.
So, we will use permutation over here
Formula [tex]^nP_r=\frac{n}{(n-r)!}[/tex]
Substitute n = 28 and r = 4
So,[tex]^{28}P_4=\frac{28!}{(28-4)!}=491400[/tex]
So, Option A is true
A)[tex]^{28}P_4}=491400[/tex]
Hence There are 491400 ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members.
The number of ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members is 491,400.
The given parameters
Number of members = 28 Number of positions = 4Total arrangement of the different positions available[tex]nP_r =\frac{n!}{(n- r)!}[/tex]
[tex]28 P4 = \frac{28!}{(28-4)!} = \frac{28!}{24!} = 491,400[/tex]
Thus, the number of ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members is 491,400.
Learn more about permutation here: https://brainly.com/question/3086912
z2 (z squared) when z = 0.7 help us out
Answer:
0.49
Step-by-step explanation:
0.7^2 is the same as 0.7*0.7. You just have to times them together!
Hope this helps!
The solution is z^2= 0.49.
What is Square root?A square root of a number is a value that, when multiplied by itself, gives the number. In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.
For example, 4 and −4 are square roots of 16, because 4² = ² = 16.
here, we have.
z^2=z*z
when z = 0.7
z^2= 0.7*0.7
=0.49
0.7^2 is the same as 0.7*0.7.
Hence, the solution is z^2= 0.49.
To learn more on square root click:
brainly.com/question/29286039
#SPJ2
Help pure people pls get brainliest
Answer:
hi there!
The correct answer is: 5
Step-by-step explanation:
The distance formula: [tex]\sqrt{(x1-x2)^{2} + (y1-y2)^{2} }[/tex]
and since the two points given are: (2,1) and (5,5)
you plug in the points and you get: 5
[tex]\sqrt{(2-5)^{2} + (1-5)^{2} }[/tex]
[tex]\sqrt{(-3)^{2} + (-4)^{2} }[/tex]
[tex]\sqrt{9+16}[/tex]
[tex]\sqrt{25 } = 5[/tex]
Answer:
The correct answer is five
Step-by-step explanation:
The slope is 4/3 and since the distance can be found by creating a triangle we can just assume it is 5 because of Pythagorean triples
What is the volume of the cylinder below?
Answer:
No picture
Step-by-step explanation:
The picture isnt attached :( but the equation for the volume of a cylinder is: Hx [tex]\pi r^{2}[/tex]
H= height R: Radius
So for example if the height was 10 and the radius was 2 you would do the following:
Hx[tex]\pi r^{2}[/tex]
= 10x 3.14x[tex]2^{2}[/tex]
= 10x 3.14x 4
= 10x 12.56
= 125.6cm^3 :)
[tex]\pi r^{2}[/tex] is the equation on finding the are of the circle (bottom circle or top circle) we then multiply is by its height because its like the circle being stacked up together until it reaches the height. :) Hope this helps
Jordan invested $8,500 in an account paying an interest rate of 4.1% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $13,070?
Answer:
11 years
Step-by-step explanation:
Answer:
Its actually 10 years
Step-by-step explanation:
Its about 10.4 but it says nearest year and 10 is closer than 11
Find the cardinal number for the set. Α = {3, 6, 9, . . . , 36}
Hey mate!!
Answer:
n(A)=12
Solution,
A={3,6,9,12,15,18,21,24,27,30,33,36}
Just count the elements,
There are 12 elements in the set.
So the cardinal number of the set is 12.
Hope it helps...Answer:
[tex]12[/tex]
Step-by-step explanation:
A = {3,6,9,12,15,18,21,24,27,30,33,36}
To find the cardinal number,
just count the numbersSo, according to that,
there are 12 numbers in this set.
So, it's clear for us that, the cardinal number of this set is 12
n (A)= 12
hope this helps
brainliest appreciated
good luck! have a nice day!
If anyone helps me with these questions I will give them Brainiest
Answer:
For question 2: the answer is 84 cm
Step-by-step explanation:
The formula for the area of a rhombus/parralelogram is A = bh or base times height.
Answer:
For question 4: the answer is 465 cm
Step-by-step explanation:
The formula for a rhombus is A = bh or base times height. If you fill in those values for the base and height it would be A = 30(15.5)
Answer:
For question 5: the answer is 45
Step-by-step explanation:
The formula for a parralellgram is A = bh. So in this case, A = 18(2.5)
Answer:
For question 6: the answer is 180 feet
Step-by-step explanation:
The formula for a parallelogram is A = bh. But the height is in yards so we would have to convert it into feet. 3 yards equals 9 feet. SO, 20(9) equals 180.
Answer:
For question: 9 the answer is 21
Step-by-step explanation:
The formula for a parrallelogram is A = bh. But in this case the area is filled in for us. 336 = b(16). To find the area, we usually multiple but we will do the opposite because we have to find the base. So, 336/16 equals the base of 21.
Answer:
For question 10: the answer is 11.7
Please mark brainliest I worked hard on these questions.
