Answer:
The length of side AB is [tex]\sqrt{50}[/tex] units.
The length of side BC is [tex]\sqrt{65}[/tex] units.
The length of side AC is [tex]\sqrt{145}[/tex] units.
Step-by-step explanation:
To find the length of each side, we use the formula for the distance between two points.
Distance between two points:
Points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Side AB:
Points [tex]A(-3,6),B(2,1)[/tex]. So the distance between them is:
[tex]D = \sqrt{(2-(-3))^2 + (1-6)^2} = \sqrt{50}[/tex]
The length of side AB is [tex]\sqrt{50}[/tex] units.
Side BC:
Points [tex]C(9,5),B(2,1)[/tex]. So the distance between them is:
[tex]D = \sqrt{(2-9)^2 + (1-5)^2} = \sqrt{65}[/tex]
The length of side BC is [tex]\sqrt{65}[/tex] units.
Side AC:
Points [tex]A(-3,6),C(9,5)[/tex]. So the distance between them is:
[tex]D = \sqrt{(9-(-3))^2 + (5-6)^2} = \sqrt{145}[/tex]
The length of side AC is [tex]\sqrt{145}[/tex] units.
19) Which one of the following expressions has the greatest value?
A) 3-6-3-6x7)
B) 3-7*(-3) - 6
C) (3-7)x(-3) - 6
D) (3-7)(-3-6)
Answer:
D.
Step-by-step explanation:
3-6-3-6×7=-48
3-7*(-3)-6=6
(3-7)×(-3)-6=6
(3-7)(-3-6)=36
find the length of isosceles triangle in which mAB=mBC=12cm.and=mAC 16cm.
Answer:
Could be 12 or 16. Need more information
Step-by-step explanation:
A right rectangular prism has a length of 18 meters, a width of 5 meters, and a height of 6 meters. What is the volume, in cubic meters, of the prism?
Answer:
540 m^3
Step-by-step explanation:
We will use the formula V = Bh where B is the base and h is the height. To find the base, we will multiply the length times the width .
18 m * 5 m = 90 m^2
Them, we will multiply the height.
90m^2 * 6 m = 540 m^3
What is the slope of the line that passes through the points (-3, -3)(−3,−3) and (-5, -2) ?(−5,−2)
Answer:
=--3+3-2+2/-3+3-5+5
=0
slope=0
Determine whether each quadrilateral is a parallelogram. Justify your answer. Yes/No? Reason... opposite side congruent, opposite angles congruent, opposite sides parallel, diagonals bisect each other, one pair of parallel and congruent sides, not enough information? (look at the image)
Answer:
Yes it is parallelogram because opposite Angles congruent.
Hope it will help :)❤
Yes, it is a parallelogram. Opposite angles are congruent: ∠A = ∠C and ∠B = ∠D.
A parallelogram is a quadrilateral with two pairs of opposite sides that are parallel and equal in length. In other words, a parallelogram has the following properties:
Opposite sides are parallel.Opposite sides are congruent.The diagonals bisect each other.The angles at each vertex add up to 180 degrees.The quadrilateral in the image is a parallelogram because it has all of the properties of a parallelogram.
To learn more about parallelogram, here
https://brainly.com/question/32033686
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PLEASE HELP ME WITH THIS
Answer:
7=0
Step-by-step explanation:
a part, share, or number considered in comparative relation to a whole.
An new bakery must sell at least $250 worth of cookies and
cakes per day to stay open. Each cookie costs $5 and each
cake costs $25. The store can make a maximum of 15 items
per day
Answer:
125
Step-by-step explanation:
250/x 30/15=125
$250 total then add 25+5=30 max of items is 15
cross multiply 250x15=3225 divide by 250=107.5
hope that's right?
3rd attempts :'))))))))
I used substitution to get to this, but not fully sure if this is correct (solve quadratic)
HELLO? STOP RIGHT THERE. Please help me with this question
Answer:
Yo I could help you but can you tell me what you put in the boxes?
Step-by-step explanation:
like numbers or what?
What value is equivalent to 81-2^3\cdot\left(5-2\right)81−2
3
⋅(5−2)?
Answer:
57
Step-by-step explanation:
By the Order of Operators:
First parenthesis, then exp and radicals, next multiplications and divisions and finally addition and subtraction
[tex]81-2^{3}(5-2)\\81-2^{3}(3)\\81-8(3)\\81-24\\57\\[/tex]
I need the simplified expression for this please
Answer:
16x+5
Step-by-step explanation:
first, we open the brackets
5*2x-5*1+2*3x+2*5=10x-5+6x+10=16x+5
Cesar bought lunch at school. He had a sandwich and a drink that cost $12. His drink cost $3.50. Solve the equation 12=s+3.50 to find the cost of 's sandwich, s.
Answer:
$8.50
Step-by-step explanation:
12=s+3.50
-3.50 -3.50
8.50=s
An internet download speed is 4.2 MB/S (constant). How long will it take to download a 30 GB file?
And with 900 KB/S?
Answer:
Time with 4.2MB/S speed = 7314.3 seconds
Time with 900 KB/S speed = 34952.5 seconds
Step-by-step explanation:
Given that:
Internet download speed = 4.2 MB/S
File to download = 30 GB
1 GB = 1024 MB
30 GB = 30*1024 = 30720 MBS
Time required = [tex]\frac{30720}{4.2}[/tex]
Time required = 7314.3 seconds
With 900 KB/S
1 MB = 1024 KB
30720 MB = 30720 * 1024 = 31457280 KBS
Time = [tex]\frac{31457280}{900}=34952.5\ seconds[/tex]
Hence,
Time with 4.2MB/S speed = 7314.3 seconds
Time with 900 KB/S speed = 34952.5 seconds
Answer:
Time with 4.2MB/S speed = 7314.3 seconds
Time with 900 KB/S speed = 34952.5 seconds
Step-by-step explanation:
Given that:
Internet download speed = 4.2 MB/S
File to download = 30 GB
1 GB = 1024 MB
30 GB = 30*1024 = 30720 MBS
Time required =
Time required = 7314.3 seconds
With 900 KB/S
1 MB = 1024 KB
30720 MB = 30720 * 1024 = 31457280 KBS
Time =
Hence,
Time with 4.2MB/S speed = 7314.3 seconds
Time with 900 KB/S speed = 34952.5 seconds
HELP ASAP PLEASE!!!!
Answer:
bqgsdfgsdfghsdfbvcxbxcvb
Step-by-step explanation:
my grandmother told me the answer
In the diagram, S is the incenter of AMNO.
Find SQ.
05
6.5
12
13
CAnswer:
Step-by-step explanation:
it is i got an 100
The small medium from in center to all the three sides of triangle is equal.
The length of the SQ is 5 units.
What is in-center of triangle?The in-center of a triangle is the point of intersection of all the three interior angle bisectors of a triangle.
The small medium from in center to all the three sides of triangle is equal. Thus,
[tex]SQ=SP=SR[/tex]
Given information-
The length of MR is 12 units.
The length of MS is 13 units.
In the [tex]\Delta MRS, \angle MRS[/tex] is the right angle triangle. Thus by the Pythagoras theorem,
[tex]MS^2=MR^2+RS^2[/tex]
Rewrite the equation as,
[tex]RS^2=MS^2-MR^2[/tex]
Put the values,
[tex]RS^2=13^2-12^2\\RS^2=169+144\\RS^2=25\\RS=\sqrt{25}\\RS=5\\[/tex]
Thus the length of RS is 5 units. As the length of RS is equal tot he length of the SQ. Thus,
[tex]SQ=RS=5[/tex]
Hence the length of the SQ is 5 units.
Learn more about the in center of the triangle here;
https://brainly.com/question/14317682
Find the slope of the line that contains the following points.
(10, 8) and (-5, 8)
Answer:
0
Step-by-step explanation:
(x1,y1)=(10,8)
(x2,y2)=(−5,8)
Use the slope formula:
m=
y2−y1
x2−x1
=
8−8
−5−10
=
0
−15
=0
Can somebody please help me with this?
Beth put $8,000 in a savings account. At the end of a year
the account had earned $720 in interest. What was the
yearly interest rate on the account?
Answer:
9%
Step-by-step explanation:
8000 x 9%= 720
What equation in slope intercept form represents the line that passes through the two points?
(5,5), (10,-1)
Pls help! Brainliest for first correct answer!
Answer:
36 kg
Step-by-step explanation:
Let m = mass of green tea.
The total mixture should be (18*3.5+2.6*m)/(18+m) = 2.9
The numerator is $, denominator is kg
Therefore 63+2.6m = 52.2+2.9m
0.3m = 10.8
3m = 108
m = 36
The AL east baseball division has 5 teams how many different ways can they finish 1st through 5th?
Answer:
25
Step-by-step explanation:
5 * 5 = 25.
5 Different teams, 5 different places, multiply the numbers of each together and you get how many different ways.
I hope this helps!
Compare 12_ |-8| using <,>,=. And please I need help quick!!
Answer:
12>|-8|
Step-by-step explanation:
|-8| = 8 because the minus sign is not on the outside of the lines. This makes 12 be greater than 8
So 12 > |-8|
What is the number of distinct 4-person committees that can be chosen from a group of 6 people
Answer:
15 combinations
Step-by-step explanation:
You have to use combinations.
It would be Choose 4 from 6
which is 6!/(4! × 2!) which 6 × 5/ 2 which is 15.
A line has a slope of 2/3 and y intercept of (0,5). What is the equation of the line?
I NEED HELP NOWWW WIRNSJJAJJDJDJMAMA
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation: 9 cm and 18cm
7n + 14 = -21 what is n
Answer:
n = -5
Step-by-step explanation:
7n + 14 = -21
Subtract 14 from each side
7n + 14-14 = -21-14
7n = -35
Divide each side by 7
7n/7 = -35/7
n = -5
A store sells two kinds of candles, scented and unscented. The scented candles burn 310 inch in 15 hour. The unscented candles burn 46 inch in 13 hour.
Calculate the unit rate of scented candles
Answer:
Unscented candles : unit rate = 3.538 inches / hour
Step-by-step explanation:
Scented candles :
Burns 310 inches on 15 hours
Unscented candles :
Burns 46, inches in 13 hours
The unit rate of unscented candles :
Total inches burnt / total number of hours
46 inches / 13 hours
= 3.538 inches per hour
For scented candles :
Total inches burnt / total number of hours
310 inches / 15 hours
= 3.538 inches per hour
= 20.667 inches / hour
A factory makes lightbulbs. The probability that a bulb is defective is If
300 lightbulbs are tested, about how many are expected to be defective?
Answer:
20, I believe because 300 x 1/5 is 20
not 30
not 15
not 66
Which of the following equations represents the graph shown?
the following graph represents f(X)=X+2
Answer:
f(x)= -x+2
Step-by-step explanation:
the line is going down so it's -x and it's up 2 from the origin
can someone please help
Answer:
[tex] \boxed{ \boxed{ \tt{3. \: \: \: \: \underline{ \: 11.85}}}}[/tex]
[tex] \boxed{ \boxed{ \tt{ \: 4. \: \: \: \: \: \: \: \underline{13 \sqrt{3} \: cm}}}}[/tex]
Step-by-step explanation:
First , A simple way how to remind the three basic trigonometric functions is by reminding the famous word " SOHCAHTOA". We divide the word in three words with three letters.
[tex] \underline{ \underline{ \sf{SOH , \: CAH , \: TOA}}}[/tex] :
The first letter of each word represents the name of the function.The second letter represents what's up the ratios sign.The third one represents what's at the bottom of the ratio sign.We write :
[tex] \sf{sin \: \theta = \frac{opposite}{hypotenuse} }[/tex][tex] \sf{cos \: \theta = \frac{adjacent}{hypotenuse}} [/tex][tex] \sf{tan \: \theta = \frac{opposite}{adjacent}} [/tex]Now , Let's work on it :
3. Based on the figure ( 3 ) , we know the hypotenuse ( i.e 15 ) & the angle 53° & we have to find the opposite ( x ).
[tex] \sf{ \sin(53) = \frac{opposite}{hypotenuse} }[/tex]
⇾ [tex] \sf{0.79 = \frac{x}{15}} [/tex]
⇾ [tex] \sf{x = 11.85}[/tex]
----------------------------------------------------------------
5. Based on the figure ( 4 ) , we know the adjacent ( i.e 13 cm & the angle 60° & we have to find the opposite ( x ).
[tex] \sf{ \tan(60}) = \frac{opposite}{adjacent} [/tex]
⇾ [tex] \sf{ \sqrt{3} = \frac{x}{13} }[/tex]
⇾ [tex] \sf{x = 13 \sqrt{3}} [/tex] cm
And we're done !
Hope I helped ! ツ
Have a wonderful day / night ! ♡
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