Answers
as you can see in the picture, the "near arc" is x°, and the "far arc", is the leftover from subtracting the arc of 120° and x°, therefore then
[tex]\bf 44=\cfrac{\stackrel{far~arc}{(360-x-120)~~-~~\stackrel{near~arc}{x}}}{2}\implies 88=240-2x \\\\\\ 2x=152\implies x=\cfrac{152}{2}\implies x=76[/tex]
Related Questions
The area of a rectangle is 56 cm. The length is 2 cm more than x and the width is 5 cm less than twice x. solve for x. Round to the nearest whole number.
Answers
Answer: The answer is actually 6.
Step-by-step explanation:
The value of x is 6, rounded to the nearest whole number.
To solve for x given the conditions:
1. Define the variables based on the problem:
- Length of the rectangle [tex](\( L \)) = \( x + 2 \)[/tex]
- Width of the rectangle [tex](\( W \)) = \( 2x - 5 \)[/tex]
2. Write the equation for the area of the rectangle:
- Area [tex](\( A \)) = \( L \times W \)[/tex]
- Given that the area is 56 cm², we have:
[tex]\[ (x + 2)(2x - 5) = 56 \][/tex]
3. Expand the equation:
[tex]\[ (x + 2)(2x - 5) = 2x^2 - 5x + 4x - 10 = 2x^2 - x - 10 \][/tex]
4. Set up the equation:
[tex]\[ 2x^2 - x - 10 = 56 \][/tex]
5. Move all terms to one side of the equation to set it to zero:
[tex]\[ 2x^2 - x - 10 - 56 = 0 \] \[ 2x^2 - x - 66 = 0 \][/tex]
6. Solve the quadratic equation using the quadratic formula:
[tex]\[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \]\\ where \( a = 2 \), \( b = -1 \), and \( c = -66 \).[/tex]
7. Calculate the discriminant:
[tex]\[ \Delta = b^2 - 4ac = (-1)^2 - 4(2)(-66) = 1 + 528 = 529 \][/tex]
8. Calculate the roots:
[tex]\[ x = \frac{-(-1) \pm \sqrt{529}}{2(2)} = \frac{1 \pm 23}{4} \][/tex]
So, the solutions are:
[tex]\[ x = \frac{1 + 23}{4} = \frac{24}{4} = 6 \][/tex]
and
[tex]\[ x = \frac{1 - 23}{4} = \frac{-22}{4} = -5.5 \][/tex]
Since x must be a positive value in the context of this problem, we have: x = 6
9. Verify the solution:
Length L = x + 2 = 6 + 2 = 8 cm
Width W = 2x - 5 = 2(6) - 5 = 12 - 5 = 7 cm
Area = [tex]\( 8 \times 7 = 56 \)[/tex] cm², which matches the given area.
Therefore, ( x = 6).
Factor completely: x2 + 6x + 8
* (x + 8)(x + 1)
* (x + 2)(x + 4)
* (x2 + 8)(x + 1)
* Prime
Answers
Which would be: (x+2)(x+4)
Hope I helped.
Answer:
(x+2)(x+4)
Step-by-step explanation:
Given the geometric sequence where a1 = 2 and r = √2 find a9
32
32√2
256
256√2
Answers
a9= 2*V2^8=2*2^4=2^5
⇒ a9 = 32
Answer: First option is correct.
Step-by-step explanation:
Since we have given that
There is a geometric sequence:
where a₁ = 2
r = √2
We need to find a₉:
As we know the formula for "nth term ":
[tex]a_n=ar^{n-1}\\\\a_9=ar^{9-1}\\\\a_9=ar^8\\\\a_9=2\times (\sqrt{2})^8\\\\a_9=32[/tex]
Hence, First option is correct.
Given:
1 = 4
B = D
Prove:
AD = CB
Which of the following triangle congruence theorems would be used in this proof?
SAS
ASA
AAS
Answers
Answer: ASA
hope that helps have a nice day
THE SUM OF A NUMBER X AND 4 ALL DIVIDED BY 3
Answers
The sum of a number X and 4 divided by three is (X+4)/3
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol can also be used to indicate the logical syntax's order of operations and other features.
Given that sum of a number X and 4 divided by 3
That makes the expression as;
Sum = x + 4
Then
(X+4) over 3
Therefore, the expression would be (X+4)/3
To know more about an expression follow;
brainly.com/question/19876186
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If the sum of interior angles is 180 then what is the sum?
Answers
Answer:
Sum = (n -2) * 180
Step-by-step explanation:
Step 1 : The formula for calculating the sum of the interior angles = (n - 2) × 180, where "n" is the number of sides of a regular polygon.
Step 2: Here we are given the sum of the interior angles is 180 degrees. Therefore, the given figure must be triangle.
Convert the following Celsius degrees to Fahrenheit.
a. 35° C
b. 500° C
c. 10° C
d. 55° C
Answers
Answer:
We know: 0 Celsius = 32 Fahrenheit.
We can convert the Celsius to Fahrenheit using this formula:
[tex](C\times9/5)+32[/tex]
a. 35° C
= [tex](35\times9/5)+32=95[/tex] degrees Fahrenheit
b. 500° C
= [tex](500\times9/5)+32=932[/tex] degrees Fahrenheit
c. 10° C
= [tex](10\times9/5)+32=50[/tex] degrees Fahrenheit
d. 55° C
= [tex](55\times9/5)+32=131[/tex] degrees Fahrenheit
a. 35°C to Fahrenheit: 95°F
b. 500°C to Fahrenheit: 932°F
c. 10°C to Fahrenheit: 50°F
d. 55°C to Fahrenheit: 131°F
1. Formula:
To convert Celsius to Fahrenheit, you can use the formula:
[tex]\[ F = \frac{9}{5}C + 32 \][/tex]
2. Calculations:
a. For 35°C:
[tex]\[ F = \frac{9}{5} \times 35 + 32[/tex]
= 95°F
b. For 500°C:
[tex]\[ F = \frac{9}{5} \times 500 + 32[/tex]
= 932°F
c. For 10°C:
[tex]\[ F = \frac{9}{5} \times 10 + 32[/tex]
= 50°F
d. For 55°C:
[tex]\[ F = \frac{9}{5} \times 55 + 32[/tex]
= 131°F
Marukh can wash the car in 10 minutes. steven can wash the car in 60 minutes. if marukh and steven work together, how long will it take them to wash the car? round your answer to the nearest minute.
Answers
as that is their average in minutes for how long it takes to wash the car.
60 + 10 = 70
70 / 2 = 35
i need help with adding and subtracting fractions
WHAT IS 3/8-3/9 ? I NEED TO SHOW MY WORK
Answers
multiply the denominator and numerator of 3/8 by 9 (27/72)
multiply the denominator and numerator of 3/9 by 8 (24/72)
this is to get the same denominator of 72
then just subtract
27/72 - 24/72 = 3/72
The result is 1/24
Explanation:
First step is to get the common denominator:
The common denominator here will be 8*9 = 72
Therefore:
3/8 = 27/72
3/9 = 24/72
Second step is to do the subtraction:
27/72 - 24/72 = (27-24) / 72 = 3/72
The last step is to simplify the result:
3/72 = 1/24
Hope this helps :)
Which equation is in point-slope form and is depicted by the line in this graph?
a) (y - 3 ) = 3/5 ( x - 2 )
b) (y - 3 ) = - 3/5 ( x + 2 )
c) (y - 3 ) + 5/3 ( x - 2 )
d) (y + 3 ) - 5/3 ( x + 2)
Answers
We have then:
y-yo = m (x-xo)
We look for the slope:
m = (y2-y1) / (x2-x1)
m = (0-3) / (3 - (- 2))
m = -3 / 5
We choose any point of the line:
(xo, yo) = (- 2, 3)
We substitute the values in the generic equation:
y-3 = -3 / 5 (x - (- 2))
We rewrite:
y-3 = -3 / 5 (x + 2)
Answer:
b) (y - 3) = - 3/5 (x + 2)
WILL GIVE BRAINLIEST ANSWER TO THE FIRST PERSON TO ANSWER CORRECTLY!
Draw any two convex pentagons. For each of them measure the sum of its interior angles using a protractor. Explain the result of the measuring.
Answers
In a convex polygon, all interior angles are less than or equal to 180. So pentagons are polygons of five sides. We need to draw two different pentagons with the previous characteristics and measures of the internal angles. Therefore, we will choose to type of pentagons.
Every pentagon can be divided up into three triangles, either a regular or irregular one and each triangle adds up to 180 degrees. Therefore, the angles in every pentagon must add up to 540 degrees.
1. Drawing of the first convex pentagon (Regular Pentagon).
A polygon is regular when all angles are equal and all sides are equal. The regular pentagon is a 5-sided polygon. This is shown in Figure 1. Note that all angles are equal to 108°.
1.1. Sum of the interior angles of the first convex pentagon.
According to Figure 1, the sum of its interior angles is as follows:
[tex]\alpha=5 \times 108^{\circ}=540^{\circ}[/tex]
As we said, the angles in every pentagon must add up to 540 degrees. If the pentagon is regular each internal angle measures 108°. In fact, in a Regular Polygon with N sides, each angle is:
[tex]\frac{(N-2)180{^\circ}}{N} \\ \\ Since \ N=5 \\ \\ \\ \frac{(5-2)180{^\circ}}{5}= 108^{\circ}[/tex]
2. Drawing of the second convex pentagon (Irregular Pentagon)
This is a type of polygon that does not have all sides equal and all angles equal. In Figure 2 is shown this pentagon. Note that there are five sides and all angles are not equal.
2.1 Sum of the interior angles of the second convex pentagon.
According to Figure 2, the sum of its interior angles is given by:
[tex]\beta=81^{\circ}+139^{\circ}+139^{\circ}+94^{\circ}+87^{\circ}=540^{\circ}[/tex]
As we said, no matter if the pentagon is irregular, the angles in every pentagon must add up to 540 degrees.
Answer with explanation:
A Polygon is said to be convex, if all the diagonals of the polygon lies in the interior of the polygon.
→Sum of interior angle of polygon =(n-2)×180°, where n is the number of sides of the polygon.-----(1)
→A pentagon is said to be convex, if it has 5 sides and all the Diagonals of pentagon lies in the interior.
Sum of interior Angles of Triangle =(3-2)×180°=180°
Sum of interior angles of Quadrilateral = (4-2)×180°=2×180°=360°
Sum of Interior angles of Polygon =(5-2)×180°=3×180°=540°
Used the formula (1) in all the three cases.
Oscar and Kim have $22.00 each to spend at a book fair, where all students receive a 30% discount. They both want to purchase a copy of the same book, which normally sells for $28.50 plus 10% sales tax. To check if he has enough to purchase the book, Oscar takes 30% of $28.50 and subtracts that amount from the normal price. He takes 10% of the discounted selling price and adds it back to find the purchase amount. Kim takes 70% of the normal purchase price and then computes 110% of the reduced price. Is Oscar correct? Is Kim correct? Do they have enough money to purchase the book? Explain your answer using complete sentences, and show your work.
using complete senteces
Answers
Oscar is correct, because all the steps he has taken to calculate the final price of the book are right and he has found the final price of the book.
Kim is incorrect because the steps she has taken to calculate the final price are not right, and she will not find the right final price.
YES, they have enough money to buy the book. Simply take all the steps Oscar took and calculate the final price.
28.50 × 30% = 8.55
28.50 - 8.55 = 19.95
19.95 × 10% = 1.995
19.95 + 1.995 = 21.945
This can be rounded to 21.95.
Since $21.95 is LESS than $22.00, they have enough money for the book.
Both Oscar and Kim are correct and do have enough money to purchase the book.
Using Oscars way:
Multiply the original price by the discount 28.50 x 0.30 = 8.55
Take that amount and subtract it from the price 28.50 - 8.55 = 19.95
Then multiply the discounted price by the sales tax rate 19.95 x 0.10 = 1.995 = 2.00
Add the sales tax amount to get the final cost 19.95 + 2.00 = 21.95 total cost
Kim's way:
Subtracting the discount percent from 100 percent ypu get 70 percent, so multiplying the price by 70 percent will get you the sale price 28.50 x 0.70 = 19.95
Multiplying the sale price by 110 percent calculates the tax amount plus the price together to get the final cost 19.95 x 1.10 = 21945 = 21.95 total cost
Both Oscar and Kim are correct and do have enough money to purchase the book.
The point of intersection of the lines has an e-coordinate of?
Answers
use the first equation, let y = k - x
plug y = k - x into the second equation
==> 2x + 3(k - x) = k + 1
==> 2x + 3k - 3x = k + 1
==> -x = k - 3k + 1
==> -x = -2k + 1
==> x = 2k - 1 is the answer
How many ways can 6 students desks be arranged in a row permutation or combination?
Answers
= 6*5*4*3*2*1 = 720
A line passes through the point , 8−1 and has a slope of −3/4 . Write an equation in slope-intercept form for this line.
Answers
Slope-intercept form: y = mx + b
^ ^
m is the slope b is the y-intercept
Since -3/4 is the slope of the line, the equation is y = -3/4x + b.
Solve for b, the y-intercept, by substituting in 8 for x and -1 for y.
y = -3/4x + b Substitution
-1 = -3/4(8) + b Multiply -3/4 and 8
-1 = -6 + b Add 6 to both sides
b = 5 y-intercept!
Substitute in the y-intercept, 5, back into y = -3/4 + b.
y = -3/4 + 5
The next number in the arithmetic sequence 15, 22, 29, ___ is:
A. 34
B. 35
C. 36
D. 37
Answers
Celina says that each of the following expressions is actually a binomial in disguise:(Expressions in picture) For example, she sees that the expression in (i) it is algebraically equivalent to − , which is indeed a binomial. (She is happy to write this as + (−), if you prefer.) Is she right about the remaining four expressions?
Answers
All the given expressions are binomials except the expression in (i) which is a trinomial.
What are binomials in expressions?
Binomials can be defined as the expression that contains two variables that are different in terms.
ii.) 5x³* 2x²- 10x⁴+3x⁵+ 3x * (-2)x⁴
= 10x⁵-10x⁴+3x⁵-6x⁵
= 7x⁵+10x⁴ (this is an example of a binominal)
iii.) (t+2)²- 4t = t²+ 4t+4-4t = t²+4(binomial)
iv.) 5(a-1)-10(a-1)+100(a-1)
= 5a-5-10a+10+100a-100
= 95a - 95 (binomials)
v.) (2πr-πr²)r-(2πr-πr²)2r
= 2πr²-πr³-4πr²+2πr³
= -2πr²+πr³(binomials)
You want to buy an item that costs $100. Which of these is the most cost-effective choice for buying the item?
answers :
a.using a paid membership card to buy it at a 10 percent discount
b.buying it online at a 10 percent discount with a $5 shipping charge
c.buying it at a 10 percent discount without sales tax
Answers
Need help ASAP
Which statements are true? Select each correct answer.
40m^6−4=4(10m^6−1)
6m^2+18m=6m^2(1+3m)
32m^4+12m^3=4m^3(8m+3)
15m^3−6m=3m(5m^2−6m)
Answers
Figure A is reflected over the y-axis and then lowered 6 units. Which sequence describes these transformations.
Answers
what is 56.4789 rounded to nearest thousandth
Answers
Hope this helps:D
Have a great rest of a brainly day!
*"AB84"*
Help Needed
Let f(x)=x2+12x+32. What are the zeros of the function? Enter your answers in the boxes.
Answers
Answer:
Step-by-step explanation:
The given equation is:
[tex]f(x)=x^2+12x+32[/tex]
Simplifying the above expression, we have
[tex]f(x)=x^2+4x+8x+32[/tex]
[tex]f(x)=x(x+4)+8(x+4)[/tex]
[tex]f(x)=(x+4)(x+8)[/tex]
Thus, zeroes of the given function will be:
[tex]f(x)=0[/tex]
[tex](x+4)(x+8)=0[/tex]
[tex]x=-4 and x=-8[/tex]
Therefore the zeroes of the given function are [tex]x=-4 and x=-8[/tex].
In a rectangle, a diagonal forms a 36° angle with a side. Find the measure of the angle between the diagonals, which lies opposite to a shorter side.
Answers
Answer:
The answer is 72 degrees
Step-by-step explanation:
The picture that Helpmetnx showed does work. But they made a mistake and assumed that the diagonal is a angle bisector, and it's not.
1. rectangle ABCD, BD & AC are the diagonals. ∠ABD =36 degrees
2. ∠ABD= ∠BDC = 36 - alternate interior angles
3. ∠DBC = 90 - 36 = 54. ∠DBC =∠ADB = ∠BCA = 54
4. Now we know that the triangle formed between the two diagonals is a isosceles triangle because of base angle theorem.
5. 180 - 54*2 = 72 degrees
I hope this helps!
What is the scale factor when △RST is dilated to △R'S'T'? What is the value of x?
A. Scale factor 0.75, x = 8
B. Scale factor 0.75, x = 4.5
C. Scale factor 1.3, x = 8
D. Scale factor 1.3, x = 4.5
Answers
x = 6* 6 / 4.5
x = 36/4.5
x = 8
SF = 4.5 / 6 = 0.75
answer
A. Scale factor 0.75, x = 8
how do I get from step 3 to step four? please explain.
sin x = opposite over hypotenuse
sin 45° = 50 over x
0.707106781 ≈ 50 over x
(0.707106781)x ≈ 50
x ≈ 70.71
Answers
Hope this helped :*
PLEASE HELP ASAP!!!!! LOTS OF POINTS
Answers
Answer:
Your answer is D :)
Step-by-step explanation:
No explanation :) <3
Find the circumference
Answers
orange circle r = 5cm
circumference = 2 x 3.14 x 5 = 31.4 cm
blue circle r = 5+5 = 10
circumference = 2 x 3.14 x 10 = 62.8 cm
We'll start with the outer circle.
Circumference is defined as 2πr, which is 2π times the radius. If the outer circle has a radius of 5, we plug in:
2π(5) = 10π
For the outer circle, we have a radius of 5 as well, therefore we also get:
2π(5) = 10π
For our total circumference, we get 20π
Hope this helps!
Find the equation, (f(x) = a(x-h)2+ k), for a parabola containing point (-1,0) and having (-3, 4) as a vertex. What is the standard form of the equation?
Answers
lease help...
Tyler has $1000 that he wants to put in a savings account. He wants to save the money for 6 years. After 6 years he plans to take the money out and spend it on college. He looks at two different banks, and they offer him different interest options.
Bank A offers Tyler 4% simple interest. How much would Tyler’s investment be worth after 6 years in this account? Show your calculations below.
Bank B offers Tyler 3% interest compounded annually. How much would Tyler’s investment be worth after 6 years in this account? Show your calculations below.
In which bank should Tyler place the $1000 he is saving for college
Answers
Bank B = 1000 x (1+0.03)^6 = $1,194.05
Bank A would be worth more
Answer:
He should place it in Bank A
For bank A Total amount = $1240
For bank bA= $1196.68
Step-by-step explanation:
For bank A with simple interest rate of 4%
Interest = PRT/100
Interest =( 1000*4*6)/100
Interest=$240
Total amount = principal + interest
Total amount = $1000+$240
Total amount = $1240
For Bank B with compound interest rate of 3%
A = p(1+r/n)^(nt)
A = 1000(1+(0.03/6))^(6*6)
A = 1000*1.19668
A= $1196.68
will give brainliest for correct answer
Use the triangle pictured to calculate the following measurements.
Perimeter: p = ___ units Semiperimeter: s = ___units Area: A ≈ ___square
Answers
Perimeter is 30 units
Semi-perimeter is 15 units
The Area is 39.7 square units