Answer:
1. 144⁰
2. 60⁰
Step-by-step explanation:
The formula to find the measure of the interior angles of a regular polygon is:
m< = (n - 2) • 180/n where n = the number of sides
For a decagon, there are 10 sides.
m< = (10-2) • 180/10 = 144°
A regular polygon/equilateral triangle is defined as having equal sides and angles.
Answer:
given ABCDEFGHIJ is a decagon
As we know the sum of all ten interior angles of a decagon = 1440°
so measure of each angle of decagon = (1440/10)° = 144°
so the measure of ∠A would be 144° (C)
given Δ ABC is a equilateral triangle
As we know the sum of all three interior angles of a equialter traingle = 180°
so if one angle of an equilateral triangle is 60°
then the remaining of the angles would have the measure of 60° each
So answer = 60°(B)
Hope it helps
Which of the following graphs best represents the solution to the pair of equations below?
y = −x + 6
y = 2x − 3
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
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 of the following equations represents a line that is perpendicular to
y = -4x+9 and passes through the point, (4, 5)?
O A. y - 1x+6
OB. y = x +5
O C. y = *x+4
D. Y = -4x+4
Answer:
y = 1/4 x +4
Step-by-step explanation:
y = -4x+9
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
the slope is -4
Lines that are perpendicular have slopes that are negative reciprocals
The slope of the perpendicular line is -1 /(-4) = 1/4
The perpendicular line is
y = 1/4x+b
It goes through (4,5)
5 = 1/4(4) +b
5 = 1+b
b=4
y = 1/4 x +4
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
Does anyone know what math topic this is?
Answer:
Comparing quantities
profit loss
cost price selling price.....
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]
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:
Can someone help pls? :)
Answer:
209/50 is the improper fraction of 4.18
mixed no. is 4 9/50
help me out .... I will mark u as brilliant students
oe which question are you figure it out
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
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.
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
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:
A soccer player stands at one corner of a field and kicks a soccer ball 95 yards to the opposite corner. If the field is 76 yards long, what is the width?
= 57 yards.
Step-by-step explanation:
95 yards is the diagonal of the field
76 yards is the length
Find the width.
This set-up will for a right angled triangle with a length of 76 yards and Hypotenuse of 95 yards. Therefore the height will represent the width of our Rectangle.
[tex]{b}^{2} = {c}^{2} - {a}^{2} \\ {b}^{2} = {95}^{2} - {76}^{2} \\ {b}^{2} = 9025 - 5776 \\ \sqrt{ {b}^{2} } = \sqrt{3249} \\ b = 57yards[/tex]
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°
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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please answer this question!!
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.
Graph the image of each figure under the given translation
Answer:
zzzzzZzzzzzzzzzzzzzzzzz zzz-zzzZzzzzzzzz
Step-by-step explanation:
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Find the x and the y.
2x+y+79-x+4y=180
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
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!
Marcia, Maureen, and Mario want to buy a $132 present for Sarah. Maureen is paying one half of Marcia's quantity, and Mario, one third of Marcia's quantity. Luckily for them the item has an 18% discount
How much is Mario paying?
Answer:
$19.68
Step-by-step explanation:
this is not really clearly defined.
I assume it means that they are buying the item, no matter how much it costs, and that the split ratio between them also remains the same no matter the actual cost.
x = what Marcia is paying
and 132 - 18% = 132 × (100 - 18) / 100 = 132×0.82 = 108.24
so,
x + x/2 + x/3 = 108.24
6x + 3x + 2x = 649.44
11x = 649.44
x = $59.04
Mario's part is x/3 = 59.04/3 = $19.68
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
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.
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.
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°
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
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)
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