The area of a rectangular patio is 21
1
8
square meters. The width of the patio is 3
1
4
meters. What is the length? Enter your answer as a mixed number in simplest form.
The length of the patio is meters.
Answer:
6 1/2
Step-by-step explanation:
21 1/8 divided by 3 1/4
Put into improper fractions
169 / 8 divided by 13 / 4
Multiply by the reciprocal
169 / 8 x 4 / 13
= 6 1/2
what is the slope of the line 3x-4y=73x4y=7?
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
y = mx + b , "m" is slope and "b" is y-intercept
~~~~~~~~~~~~~
3x - 4y = 7
- 4y = - 3x + 7
y = [tex]\frac{3}{4}[/tex] x - [tex]\frac{7}{4}[/tex] ⇒ m = [tex]\frac{3}{4}[/tex]
determine if the two triangles are congruent.If they are state how you know
9. yes, 2 congruent sides
10. no
11. yes, 1 congruent side and angles
12. yes, 1 congruent side and angles
13. yes, 1 congruent side and angles
14. yes, 2 congruent sides
15. yes, congruent sides and angles
16. yes, congruent angles and sides
On a coordinate plane, a line is drawn from point A to point B. Point A is at (negative 4, 8) and point B is at (2, negative 4). What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 3:10? Round to the nearest tenth, if necessary. X = y =.
The x and y coordinates of point C are -2.6 and 5.2, respectively
The coordinate of the points are given as:
[tex]A = (-4,8)[/tex]
[tex]B =(2,-4)[/tex]
The ratio is given as:
[tex]m :n = 3 : 10[/tex]
The point at the given ratio is calculated as:
[tex]C = (\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})[/tex]
So, we have:
[tex]C = (\frac{3 \times 2 + 10 \times -4}{3+10},\frac{3 \times -4 +10 \times 8}{3+10})[/tex]
Simplify
[tex]C = (\frac{-34}{13},\frac{68}{13})[/tex]
[tex]C = (-2.6,5.2)[/tex]
Hence, the x and y coordinates of point C are -2.6 and 5.2, respectively
Read more about line ratios at:
https://brainly.com/question/11764811
Answer:
a
Step-by-step explanation:
How can probability be applied to decision making?
Answer:
ANSWER============================You can calculate the probability that an event will happen by dividing the number of ways that the event can happen by the number of total possibilities. Probability can help you to make better decisions, such as deciding whether or not to play a game where the outcome may not be immediately obvious.============================#CarryOnLearningAnswer: Using Probability to Increase the Odds of success
you and a friend go to starbucks. you spend $5.25 on a venti pumpkin spice latte and buy 4 chocolate chip cookies. your friend decides against coffee and only purchases 7 chocolate chip cookies. if you both spent the same amount of money, what was the price of one chocolate chip cookie? Give the algebraic equation
Answer: 1.75
Step-by-step explanation:
5.25 / 3 = 1.75
1.75 x 4 = 7
7 + 5.25 = 12.25
1.75 x 7 = 12.25
since they are the same answer it's right
Easy question, Worth 80 points, PLEASE HELP!! What are the angles and the side measurements for this triangle?
Answer:
the angles are 89.2°, 34.5°, 56.3° and the sides are √26units, √8units, √18units respectively
Step-by-step explanation:
Distance between points (2,5) and (-1,2)
Using the formula, √(X2 - X1)² + (Y2 - Y1)²
= √(-1-2)²+(2-5)²
=√(-3)²+(-3)²
=√9+9
=√18 or 3√2
Distance between points (-1,2) and (4,3)
=√[4-(-1)]²+(3-2)²
= √5²+1²
=√25+1
=√26
Distance between points (2,5) and (4,3)
=√(4-2)²+(3-5)²
=√2²+(-2)²
=√4+4
=√8
Using Cosine rule/formula, C²= A²+B²-2abcosc
Let C be √18, A be √26 and B be √8
√18²=√26²+√8² - 2√26.√8cosc
18= 26+8 - 2√208cosc
18= 34 -2√208cosc
2√208cosc= 34-18
Cosc = 16/2√208
Cosc= 0.5546
c= Cos`¹(0.5547)
c= 56.3°
Using sine rule/formula
Sinc/C= Sina/A=Sinb/B
Sin56.3/√18= Sina/√26
Sina= (0.8320 × √26)/ √18
Sina= 0.9999
a= Sin`¹(0.9999)
a= 89.2
56.3+89.2+b= 180°( sum of angles in a triangle)
145.5 + b =180
b=180-145.5
b= 34.5
5x-6>1+2(4x+1)
I need answers now please and an explanation
NO BOTS I HAVE NO TIME FOR THEM
Answer:
-3
Step-by-step explanation:
I just need 20 characters to help out so yeah
given: 4x=12x+32 prove: =-4
Answer:
See explanation
Step-by-step explanation:
4x = 12x + 32
Subtract 12x from both sides
-8x = 32
Divide each side by -8.
x = -4
Answer:
True, see attached photo, if this helped you please give Brainliest
Step-by-step explanation:
A sequence starts from -2. The term to term rule is 'square and subtract 3' find the first six numbers of the sequence
Answer:
The first six numbers are [tex]-2,1,-2,1,-2,1[/tex]
Step-by-step explanation:
First term is [tex]-2[/tex]
The term to term rule is 'square and subtract [tex]3[/tex]'
Second term[tex]=(-2)^{2} -3=1[/tex]
Third term[tex]=(1)^{2} -3=-2[/tex]
Fourth term[tex]=(-2)^{2} -3=1[/tex]
Fifth term[tex]=(1)^{2} -3=-2[/tex]
Sixth term[tex]=(-2)^{2} -3=1[/tex]
The first six numbers are [tex]-2,1,-2,1,-2,1[/tex]
solve similar triangles (advanced)
Answer:
x = 9/4
Step-by-step explanation:
Locate point G on segment DE so that DG = 1 and GE = 4. CG is parallel to AD, so ΔCGE ~ ΔABC. Corresponding sides are proportional.
AB/BC = CG/GE
x/1 = 9/4
x = 9/4
_____
Additional comment
Using the given triangles, you can write the proportion statement as ...
(9+x)/x = 5/1
We judge this to take more steps to solve, so we prefer the method shown above.
Find the area of each figure
Answer:
17.5
Step-by-step explanation:
7*5/2
Plz help me with this
Answer:
sorry cant see the question
Step-by-step explanation:
In the diagram below B is the midpoint of AC if AB equals 2X and BC equals X squared -24 find the value of X and the length of AC
Answer:
x = 6
AC = 24
Step-by-step explanation:
The midpoint divides the segment into two congruent parts.
AB = BC
BC -AB = 0
x^2 -24 -2x = 0
(x -1)^2 = 25 . . . . . . add 25, write as a square
x = 1 +√25 = 6 . . . . only the positive solution is of interest.
AC = 2(AB) = 2(2x) = 4(6) = 24
The value of X is 6, and the length of AC is 24 units.
If B is the midpoint
AB=BCx²-24=2xx²-2x-24=0x²-6x+4x-24=0(x-6)(x+4)=0x=6,-4Distance is positive
x=6AC
2(2x)4x4(6)24given:f(x)=3x-5,find f(x+2)
ans=3x+1
Step by step solution
=3(x+2)-5
=3x+6-5
=3x+1
Given that k=cd2 + e find the value of c when k=3 ,d=2 and e = 5
Answer:
c = -1/2
Step-by-step explanation:
Put the known values in the equation and solve for the unknown.
k = cd² +e
3 = c(2²) +5
-2 = 4c . . . . . . . subtract 5
-1/2 = c . . . . . . divide by 4
The standard form of a quadratic equation is given as y=ax^2+bx+c and vertex form is given as y=a(x−h)^2+k. Write a formula that relates the values of a,b, and c in y=ax^2+bx+c to the values of a,h, and k in y=a(x−h)^2+k. For instance, h=ax+b would be a formula that relates h to a and b.
Answers:
[tex]h = -\frac{b}{2a}\\\\k = \frac{-b^2+4ac}{4a}\\\\[/tex]
where 'a' cannot be zero.
=========================================================
Explanation:
The vertex is (h,k)
The x coordinate of the vertex is h which is found through this formula
[tex]x = -\frac{b}{2a}[/tex]
For example, if we had the quadratic [tex]y = 3x^2-6x+5[/tex], then we'll plug in a = 3 and b = -6 to get: [tex]h = -\frac{b}{2a} = -\frac{-6}{2*3} = 1[/tex]
------------
To find the value of k, we plug that h value into the original standard form of the quadratic and simplify.
[tex]y = ax^2+bx+c\\\\k = ah^2+bh+c\\\\k = a\left(\frac{-b}{2a}\right)^2+b\left(\frac{-b}{2a}\right)+c\\\\k = a*\frac{b^2}{4a^2}+\frac{-b^2}{2a}+c\\\\k = \frac{b^2}{4a}+\frac{-b^2}{2a}+c\\\\[/tex]
[tex]k = \frac{b^2}{4a}+\frac{-b^2}{2a}*\frac{2}{2}+c*\frac{4a}{4a}\\\\k = \frac{b^2}{4a}+\frac{-2b^2}{4a}+\frac{4ac}{4a}\\\\k = \frac{b^2-2b^2+4ac}{4a}\\\\k = \frac{-b^2+4ac}{4a}\\\\[/tex]
It's interesting how we end up with the numerator of [tex]-b^2+4ac[/tex] which is similar to [tex]b^2-4ac[/tex] found under the square root in the quadratic formula. There are other ways to express that formula above. We need [tex]a \ne 0[/tex] to avoid dividing by zero. The values of b and c are allowed to be zero.
Answer:
The minimum is at (1,-8). In the equation y = (x – 1)2 – 8, h = 1 and c = 8. So, the x-coordinate of the minimum is the same as the h-value in the equation, and the y-value of the minimum is the opposite of the c-value.
Step-by-step explanation:
plato
12. Find the measure of the exterior angle.
Answer:
68
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle
3x - 2 + 4x + 4 = 6x + 8 add like terms
7x - 2 = 6x + 8
7x - 6x = 8 + 2
x = 10
The measure of exterior angle
6x + 8 = 6*10 + 8
The measure of exterior angle is 68 degrees
8 times a certain number is added to 5 times a second number to give 184.
Answer:
8x+5y=184
Hope This Helps!!!
12>-2(y-4) solve the inequality
[tex]12>-2(y-4)\\\\\implies -\dfrac{12}2 <y-4~~~;[\text{Dividing by a negative number, so reverse the inequality.}]\\\\\implies -6<y-4\\\\\implies -6+4<y\\\\\implies -2<y\\\\\implies y>-2\\\\\text{Interval,}~ (-2,\infty)[/tex]
What is the value of the expression [−18+(−22)]−43+12?
Answer:
-71
Step-by-step explanation:
Answer:
-71
Step-by-step explanation:
[-18+(-22)]-43+12
=(-18+22)-43+12
=-40-43+12
=-83+12
=-71
PLEASE HELP. I NEEED THIS BY TOMORROW
I WILL GIVE 20 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY
Answer:
I believe it is 30.
Step-by-step explanation:
on the screenshot it shows 18, 24, 30, meaning 30 is the answer
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
y = 4/7x
Step-by-step explanation:
(0,0)
(7,4)
up 4 right 7
4/7
y = 4/7x
Answer:
y = 4/7 x
Step-by-step explanation:
using rise/run = slope
rise = 4
run= 7
4/7 = slope
Someone please help. How can I solve this question?
Answer:
∠ LKJ = 64°
Step-by-step explanation:
Since KJ = KL then the triangle is isosceles with the 2 base angles being congruent, that is
∠ J = ∠ L = 58° , then
∠ LKJ = 180° - 58° - 58° = 180° - 116° = 64°
Which 2 expressions are equiavalent to -40/9
Answer:
360 is the answer
Step-by-step explanation:
hi
have a good day
hope it helps you
thank me later
carryonlearing
Answer:
Step-by-step explanation: 2\frac{u^2}{8}u^4=10\frac{u^3}{9}u
Find the gradient of the line segment between the points (-3,1) and (2,5). Give your answer in its simplest form.
Answer:
[tex]\displaystyle m = \frac{4}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Step-by-step explanation:
Step 1: Define
Identify points.
Point (-3, 1)
Point (2, 5)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{5 - 1}{2 - -3}[/tex][Order of Operations] Evaluate: [tex]\displaystyle m = \frac{4}{5}[/tex]In the inequality -4n + 3 > 7, you will need to flip the inequality sign to solve for n. True False
Answer:
True because you need to divide by -4 at one stage. Dividing by a negative number will reverse the inequality.
Step-by-step explanation:
[tex]-4n+3>7\\\\\implies -4n >7-3\\\\\implies -4n> 4\\\\\implies n<\dfrac{4}{-4}\\\\\implies n<-1\\\\\text{Interval,}~ (-\infty, -1)[/tex]
The coach for a basketball team wants to buy new shoes for her 12 players.
Super Sports is offering a 20\% discount on each pair of shoes, which were originally priced $72.50. A 6.5\% sales tax will be applied to the discounted price.
The same shoes are also available on Double Dribble's web site for $54.75. A 9\% processing fee will be applied to the cost of the shoes, plus a shipping fee of $5.99 for each pair.
What is the difference in the total costs of the 12 pairs of shoes between the two stores?
(please show ur work)
Answer:
$46.8
Step-by-step explanation:
Price for Super Sports:
$72.5*0.8=$58 (20% discount so price is 80% of original price)
$58+$58*0.065=$61.77 (6.5% sales tax added after discounted price)
$61.77*12=$741.24
Price for Double Dribble:
$54.75+$54.75*0.09=$59.6775≈$59.68 (9% processing fee added to cost; round to 2 decimal places)
$59.68+$5.99=$65.67 (shipping fee)
$65.67*12=$788.04
Difference in price:
$788.04-$741.24=$46.8
If you have questions please ask in the comments; also please give this answer brainliest if you found it useful!
how do i do this?? i really need help !!
Answer:
angles: 150°, 108°, 90°, 12°
Step-by-step explanation:
The size of each sector of a pie chart is proportional to the size of the data item being represented. Here, the total of all frequency numbers is ...
25 +18 +15 +2 = 60
These 60 are represented in the chart by 360°, so each unit of frequency is represented by 360°/60 = 6°.
The 25 destinations in France are represented by a sector that is ...
25 × 6° = 150°
The 18 destinations in Spain are represented by a sector that is ...
18 × 6° = 108°
The 15 destinations in Greece are represented by a sector that is ...
15 × 6° = 90°
The remaining (Other) destinations are represented by the remaining part of the circle:
2 × 6° = 12°
You can draw the sector dividers in the circle using a protractor or geometry application, or you can let a spreadsheet draw the entire pie chart for you.
__
The attachment is roughly what the finished product would look like. We have included the angle measures, so you can see what they are. Ordinarily, those would not be present. The labels might include data values or percentages, as you may decide. The purpose is to communicate, so you need to figure what message you want the chart to communicate, and label it appropriately.
Answer:
angles: 150°, 108°, 90°, 12°
Step-by-step explanation:
The size of each sector of a pie chart is proportional to the size of the data item being represented. Here, the total of all frequency numbers is ...
25 +18 +15+2 = 60
These 60 are represented in the chart by 360°, so each unit of frequency is represented by 360` = 6°.
The 25 destinations in France are represented by a sector that is ...
25 x 6° = 150°
The 18 destinations in Spain are represented by a sector that is ...
18 x 6° = 108°
The 15 destinations in Greece are represented by a sector that is ...
15 x 6° = 90°
The remaining (Other) destinations are represented by the remaining part of the circle:
2 x 6° = 12°
You can draw the sector dividers in the circle using a protractor or geometry application, or you can let a spreadsheet draw the entire pie chart for you.
The attachment is roughly what the finished product would look like. We have included the angle measures, so you can see what they are. Ordinarily, those would not be present. The labels might include data values or percentages, as you may decide. The purpose is to communicate, so you need to figure what message you want the chart to communicate, and label it appropriately.