Answer:
If KF = 19, then KM = 38.
Step-by-step explanation:
The point that intersects the two diagonals of a symmetrical quadrilateral marks the halfway point of the diagonals. Since we know that KF = 19 and that 2(KF) = KM, as KM is a diagonal of this parallelogram, we just do the following:
2(KF) = KM
2(19) = KM
38 = KM
Does anyone know what math topic this is?
Answer:
Comparing quantities
profit loss
cost price selling price.....
Can someone help pls? :)
Answer:
209/50 is the improper fraction of 4.18
mixed no. is 4 9/50
Please answer this question.
Answer:
B) 14%
Step-by-step explanation:
principal = 220000
First two years 10% paid.
.10 x 220000 = 22000
220000-22000 = 198000
x = percent
x = [tex]\frac{New -Old}{Old}[/tex]
x = [tex]\frac{170000-198000}{198000}[/tex]
x = -.1414
Round to .14
14% is the difference in amounts.
The principal (198000) will need to be reduced 14% to equal 170000
Ya and Yb represent continuous linear relations. Some values from the relations are shown in the
table below. Graphically solve the linear system.
The solution to the continuous linear relation is: (2,-7)
The data on the table can be presented as:
Relation A
[tex](x_1,y_1) = (-8,-5)[/tex]
[tex](x_2,y_2) = (-3,-6)[/tex]
Relation B
[tex](x_1,y_1) = (-8,-15)[/tex]
[tex](x_2,y_2) = (-3,-11)[/tex]
Plot the points of each relation and draw a line through the points (see attachment)
Write out the point of intersection of the two lines.
[tex](x,y) = (2,-7)[/tex]
Hence, the solution to the continuous linear relation is: (2,-7)
Read more at:
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PLS HELP WILL GIVE BRAINLY!!
A triangle has sides that measure 4 units, 6 units, and 7.21 units. What is the area of a circle with a circumference that equals the perimeter of the triangle? Use 3.14 for π, and round your answer to the nearest whole number.
17 units2
24 units2
54 units2
94 units2
Answer:
24 units ²
Step-by-step explanation:
In this problem, we are given the circumference of a triangle (after finding the perimeter) and want to find the area of a circle with that circumference. Since the area of a circle is a function based on its radius, we can use the circumference to find the radius to find the area.
First, we can figure out the perimeter of the triangle, which is equal to the sum of its sides. The perimeter is 6+4+7.21 = 17.21 units.
Next, the circumference of a circle is equal to π * diameter = π * 2 * radius. Using 3.14 for π and r for radius, we get
3.14 * 2 * r = 17.21
6.28 * r = 17.21
divide both sides by 6.28 to isolate r
r ≈ 2.74
Furthermore, to find the area from the radius, we can use
area = πr². Plugging 2.74 in for r, we get
2.74² * 3.14 = area
≈23.6, rounding up to 24 units ²
The circumference is equal to the perimeter of the triangle. Then the area of the circle is 23.58 or 24 square units. Option B is correct.
What is a circle?It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
A triangle has sides that measure 4 units, 6 units, and 7.21 units.
Then the perimeter of the triangle will be
Perimeter = 6 + 4 + 7.21
Perimeter = 17.21
The circumference is equal to the perimeter of the triangle. Then the radius will be
[tex]2\pi r = 17.21\\\\r = 2.74[/tex]
Then the area of the circle will be given as
[tex]\rm Area = \pi r^2 \\\\Area = \pi \times 2.74^2 \\\\Area = 23.58[/tex]
Thus, the area of the circle is 23.58 square units.
More about the circle link is given below.
https://brainly.com/question/11833983
Graph the image of each figure under the given translation
Answer:
zzzzzZzzzzzzzzzzzzzzzzz zzz-zzzZzzzzzzzz
Step-by-step explanation:
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
ZA and ZB are complementary angles. If m A = (x – 21)° and m
ZB = (2x – 15)°, then find the measure of ZA.
Answer:
A = 21
Step-by-step explanation:
Complementary angles add to 90
x-21 + 2x-15 = 90
Combine like terms
3x -36 = 90
3x-36+36 = 90+36
3x = 126
Divide by 3
3x/3 =126/3
x = 42
We want to find ZA = x-21
A = 42-21
A = 21
If the sum of the measures of two angles is 90° they are known as complementary angles.
According to the question[tex] \bf \large \longrightarrow \: \:( x \: - \: 21) \: + \: (2x \: - \: 15) \: = \: 90 \degree[/tex]
Now , Opening brackets and simplifying
[tex] \bf \large \longrightarrow \: \: x \: - \: 21 \: + \: 2x \: - \: 15\: = \: 90 \degree[/tex]
[tex]\bf \large \longrightarrow \: \:3x \: - \: 36 \: = \: 90 \degree[/tex]
[tex]\bf \large \longrightarrow \: \:3x \: = \: 90 \: + \: 36[/tex]
[tex]\bf \large \longrightarrow \: \:3x \: = \: 126[/tex]
[tex]\bf \large \longrightarrow \: \:x \: = \: \frac{126}{3} \\ [/tex]
[tex]\bf \large \longrightarrow \: \:x \: = \: \cancel\frac{126}{3} \: \: \large \: ^{42} \\ [/tex]
[tex]\bf \large \longrightarrow \: \: x \: = \: 42[/tex]
Now , we have to find ZA .
ZA = x - 21[tex]\bf \large \implies \: \:A \: = \: 42 \: - \: 21[/tex]
[tex]\bf \large \implies \: \:A \: = \: 21[/tex]
The measure of angle ZA is 21°
Instructions: Find the measure of the indicated angle to the nearest degree.
Answer:
A = 79°
Step-by-step explanation:
CosA = adjacent ÷ hypoteneous
A = Cos^-1(6÷32)
A. =. 79.19°
A= 79°
can i get some help on this question please? ASAP!!
Answer:
left is a very good approximately .9 POSITIVE correlation
right is a very good approximately -.9 NEGATIVE correlation
Step-by-step explanation:
Which expressions are equivalent to
3(6+b) + 2b+1?
Select 2 answers.
Step 1 - Use the distributive property and pick your first
answer
Step 2 - Combine like terms and pick your second
answer
Step-by-step explanation:
3(6+b)+2b+1
18+3b+2b+1
5b+19
pls help asap no wrong answers------------
Answer:
0.75, 1.25
Step-by-step explanation:
first we bring the line equation into the same format as the parabola equation (y = ...)
3x - y = 1
=>
y = 3x - 1
now we can say for the intersection points both equations must have the same result.
4x² - 1 = 3x - 1
4x² - 3x = 0
x(4x - 3) = 0
there are only 2 possible cases to make this true :
x = 0
and 4x - 3 = 0
4x = 3
x = 3/4 = 0.75
for the y value let's use the easier equation (line) :
y = 3×3/4 - 1 = 9/4 - 4/4 = 5/4 = 1.25
In circle O, the length of OB is 6 inches, and the measure of ∠AOB is 120°. What is the length of arc AB, in inches (show your answer in terms of π)? *
Answer:
4π inches
Step-by-step explanation:
Formula for finding length of arc AB = θ/360*2πr
Where,
Central angle (θ) = 120°
Radius (r) = 6 inches
Length of arc AB = 120/360*2*π*6
Length for arc AB = ⅓*12π
= 4π inches
This one is giving me trouble, I need help on it
What is the domain of the function graphed below?
Answer:
x≤7
Step-by-step explanation:
i hope it will help
===============================================
Explanation:
The drawing is fairly faint, but it appears there's an arrow pointing to the left at the location (-6,3). If this is the case, then the function curve continues on forever in that direction.
The domain is the set of allowed x values. If we were to place the pencil on the blue curve and shade the x axis directly above or below that pencil point, then we would effectively shade everything to the left of x = 7.
In other words, we would shade x < 7 on the number line. The value x = 7 itself is left out due to the open hole.
Again, this all assumes that there is an arrow at (-6,3) that points to the left.
Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE. A horizontal line has points C, F, E, G. 2 lines extend from the line at points F and E to form an isosceles triangle with point D. Angle DEF measures 75°. What is the measure of angle CFD?
Answer:
[tex]\angle CFD =105^o[/tex]
Step-by-step explanation:
Given
[tex]\angle D FE = \angle DE F = 75^o[/tex]
See attachment
Required
Determine the measure of [tex]\angle CFD[/tex]
[tex]\angle CFD[/tex] and [tex]\angle DFE[/tex] are on a straight line.
So:
[tex]\angle CFD + \angle DFE = 180^o[/tex] --- angle on a straight line
Substitute known values
[tex]\angle CFD + 75^o = 180^o[/tex]
Collect like terms
[tex]\angle CFD =- 75^o + 180^o[/tex]
[tex]\angle CFD =105^o[/tex]
Find the x and the y.
2x+y+79-x+4y=180
I have been having a lot of trouble with this assignment and I don't really understand some of the graph so if anyone can a little help would be great
Answer:
1. The graph represents the inequality y > 2x + 1
2. The y-intercept (where a line meets the y-axis) is at point (0,1). This line rises by 2 for every point it moves to the right (this is called the slope). A dotted line means that point on the line are not included in the solution set, thus you use the > symbol.
After 10 years, Hamid's account earned $900 in interest. If the interest rate (in decimal form) is 0.08, how much did Hamid initially invest? Without substitution, solve the formula chosen in the previous step for the unknown variable in terms of the known variable(s).
Answer:
Hamid initially invested $1,125.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After 10 years, Hamid's account earned $900 in interest.
This means that [tex]t = 10, E = 900[/tex]
Interest rate of 0.08:
This means that [tex]I = 0.08[/tex]
How much did Hamid initially invest?
We have to find P. So
[tex]E = P*I*t[/tex]
[tex]900 = P*0.08*10[/tex]
[tex]P = \frac{900}{0.8}[/tex]
[tex]P = 1125[/tex]
Hamid initially invested $1,125.
Write an algebraic model based off this numerical model
Step-by-step explanation:
T0 = a³+4
T1 = a⁴x a¹ +4
T2= a³ + a³ + 4
T3= a⁴ + a⁴* a² + 4
T4= a⁴ + a⁴ x a¹ + 4
T5= a³ + a³ + a⁴+4
Answer:
hello,
Step-by-step explanation:
c(1)=5
c(2)=9
c(2)-c(1)=9-5=4
c(2)=9
c(3)=13
c(3)-c(2)=13-9=4
c(3)=13
c(4)=17
c(4)-c(3)=17-13=4
c(4)=17
c(5)=21
c(5)-c(4)=21-17=4
for n=1,2,...,k :
c(n+1)-c(n)=4 and c(n+1)=4*(n+1)+1=4n+5
c(1)=1
Which point is on the graph of f(x) = 3 • 4X?
Answer:
D. (1, 12)
Step-by-step explanation:
Plug the number into the equation and solve it from there
f(x)=3×4^1
f(x)=3×4
f(x)=12
help me out .... I will mark u as brilliant students
oe which question are you figure it out
I don't understand need help?
9514 1404 393
Answer:
2. (only)
Step-by-step explanation:
The Pythagorean theorem tells you the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. To determine if these are right triangles, determine if that condition is met.
1. 3^2 +5^2 = 9 + 25 = 34 ≠ (√35)^2 . . . . not a right triangle
2. 5^2 +4^2 = 25 +16 = 41 = (√41)^2 . . . a right triangle
3. 6^2 +8^2 = 36 +64 = 100 ≠ (√10)^2 . . . . not a right triangle
4. 3^2 +3^2 = 9 +9 = 18 ≠ (3√3)^2 = 27 . . . . not a right triangle
1 point Write the equation of the line that is parallel to the line given and through the given point. Do not use spaces in your equation y=-x-3 (-3,4)
Answer:
y=3x+9......(i)
y=-4x-12...(ii)
these are the equation
Which of the following graphs best represents the solution to the pair of equations below?
y = −x + 6
y = 2x − 3
Shown below is a piece of information on the sale of passenger vehicles that appeared in a newspaper. How many multi purpose vehicles were sold in the year 2006?
70,000 multi purpose vehicles were sold in the year 2006
First we need to know the equivalent of 1 lakh.
1 lakh = 100,000
From the table shown, we can see that 0.7 lakh multipurpose vehicle were sold in 2016.
Converting 0.7lakh to thousands:
0.7lakh= 0.7 × 100,000
0.7lakh = 70,000
This shows that 70,000 multi purpose vehicles were sold in the year 2006
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What’s is the product of
1/15 X 1/3 =?
Answer:
[tex] \frac{1}{45} [/tex]Step-by-step explanation:
[tex] \frac{1}{15} \times \frac{1}{3} [/tex]
[tex] = \frac{1}{15 \times 3} [/tex]
[tex] = \frac{1}{45} (ans)[/tex]
Which expression is equivalent to (3a)–2?
Answer:
[tex] \frac{1}{9a { }^{2} } [/tex]
Step-by-step explanation:
I hope this help if it doesn't I'm sorry
Please help me fast
Answer:
864
Step-by-step explanation:
A=6a^2=6·12^2=864
Answer:
864 in^2
Step-by-step explanation:
2(144+144+144) = 2(432) = 864 in^2.
Hope this helped!
By visual inspection, determine the best-fitting model of the three types of regression for the data plot below.
A. Quadratic
B. Exponential
C. Linear
D. None of the above
Answer:
B. exponential
Step-by-step explanation:
The graph is clearly decreasing exponentially, shown by the downward curve. Therefore, the answer should be B.
the unknown side of a trapezium.
Answer:
11 mm
Step-by-step explanation:
121=area of a rectangle and area of triangle
121=x*8+(0.5)*x*(14-8), 11x=121, x=11
Answer:
[tex]11mm[/tex]
Step-by-step explanation:
Let the unknown side be x
[tex]Area \: \: \: of \: \: the \: \: trapezium = \frac{1}{2} \times (sum \: \: of \: \: \: the \: \: parallel \: sides) \times height \\ 121= \frac{1}{2} \times (8 + 14) \times x \\ 121 \times 2 = 22x \\ 242 = 22x \\ \frac{242}{22} = \frac{22x}{22} \\ 11 = x[/tex]
A video store charges $12 for used games and $25 for new games. Jonathan has saved $300 to spend on video games. This scenario is represented by a linear equation.
12x + 25y = 300
x = number of used games
y = number of new games
How many games can Jonathan buy if he spends all his money on used games?
Answer:
25 used games
Step-by-step explanation:
Divide his money by the price for one used game
300/12
25
Answer:
y=0
12x=300
X=300/12
X=25
he can buy 25 used games .
Step-by-step explanation: