Answer:
Step-by-step explanation:
I'll show you how to do the first one; the other are exactly the same, so pay attention.
The formula for arc length is
[tex]AL=\frac{\theta}{360}*2\pi r[/tex] where θ is the central angle's measure. It just so happens that the measure of the central angle is the same as the measure of the arc it intercepts. Our arc shows a measure of 40°; this measure is NOT the same as the length. Measures are in degrees while length is in inches, or cm, or meters, etc. Going off that info, our central angle measures 40°. Filling in the formula and using 3.1415 for π:
[tex]AL=\frac{40}{360}*2(3.1415)(3)[/tex]. I'm going to reduce that fraction a bit (and I'll use the same reduction in the Area of a sector coming up next):
[tex]AL=\frac{1}{9}*2(3.1415)(3)[/tex] which makes
AL = 2.09 units. Now for Area of the Sector. The formula is almost identical, but instead uses the idea that the area of a circle is πr²:
[tex]A_s=\frac{\theta}{360}*\pi r^2[/tex] where θ is, again, the measure of the central angle (which is the same as the measure of the arc it intercepts). Filling in:
[tex]A_s=\frac{1}{9}*(3.1415)(3)^2[/tex] which simplifies a bit to
[tex]A_s=\frac{1}{9}*(3.1415)(9)[/tex]. As you can see, the 9's cancel each other out, leaving you with
[tex]A_s=3.14[/tex] units²
Answer:
Step-by-step explanation:
[tex]Arc \ Length = 2 \pi r \frac{ \theta}{360}[/tex]
[tex]Sector \ Area = \pi r^2 \frac{ \theta }{360}[/tex]
[tex]1) Arc \ Length = 2 \pi \times 3 \times \frac{40}{360} = 2\pi \times 3 \times \frac{1}{9} = \frac{2}{3} \pi = 2.09[/tex]
[tex]Sector \ Area = \pi \times 9 \times \frac{40}{360} = 9\pi \times \frac{1}{9} = \pi = 3.14[/tex]
[tex]2) Arc \ Length = 2 \pi \times 5 \times \frac{88}{360}= 7.68[/tex]
[tex]Sector \ Area = \pi \times 25 \times \frac{88}{360} = 19.2[/tex]
[tex]3) Arc \ Length = 2 \pi \times 6 \times \frac{260}{360} = 27.22[/tex]
[tex]Sector \ Area = \pi \times 36 \times \frac{260}{360} = 81.68[/tex]
*URGENT*
PLEASE HELP ILL GIVE BRAINLIEST !!!!!!
The triangles below are similar. Find the length of ED.
Answer:
ED = 6
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{ED}{BA}[/tex] = [tex]\frac{EF}{BC}[/tex] , substitute values
[tex]\frac{ED}{9}[/tex] = [tex]\frac{12}{18}[/tex] ( cross- multiply )
18 ED = 108 ( divide both sides by 18 )
ED = 6
5.88 pts
> A statue of George Washington is in Druid Hill Park. Elliot stands 16 ft away from the
statue, and places a mirror 12 ft from the statue (4 ft from his feet). He can see the
top of the statue in the mirror. If Elliot's height is 6 ft. How tall is the statue?
O 2 ft
O 18 ft
0 24 ft
O 8 ft
Answer:
18 ft
Step-by-step explanation:
Similar triangles are proportional
Ratio of vertical legs = Ratio of base legs
x/6 = 12/4
multiply both sides by
x = 12/4 * 6
x = 18 ft
Patricia y Armando tienen $220 entre los dos. Patricia le da a Armando $30 de tal forma que ambos tendrán la misma cantidad de dinero. ¿CUANTO DINERO TIENE CADA UNO?
Answer:
Patricia's amount of money = $125
Armando's amount of money = $95
Step-by-step explanation:
Given:
Total amount of money = $220
Patricia have $30 more than Armando
Find:
Amount of money each have.
Computation:
Assume;
Patricia's amount of money = a
So,
Armando's amount of money = a - 30
So,
a + a - 30 = 220
2a - 30 = 220
2a = 250
a = 125
Patricia's amount of money = $125
Armando's amount of money = 125 - 30
Armando's amount of money = $95
plsplspls help it's due today and is needed for reports. I'll brainlist you! just do the questions u know and leave the ones u don't idm I'll do it myself but at least do a few. it'll make my day:)
Answer:
[tex]x=10[/tex]
Step-by-step explanation:
For all right triangles, the Pythagorean Theorem states:
[tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse, or the longest side, of the right triangle.
Therefore, we have (starting from the blanks):
[tex]x^2+576=676,\\x^2+576-676=676-676,\\x^2=100,\\x=\boxed{10}[/tex]
Tracy's team won 75% of their games last year. They played 12 games. How many games did they win?
Answer:
9 games.
Step-by-step explanation:
You need to find 75% of 12. 75% is equal to three fourths. 12 divided by 4 is 3, so one fourth of 12 is 3. 3 times 3 is 9, so three fourths (75%) of 12 is 9.
Tara has read 95\%95%95, percent of the books she owns. If Tara owns 160160160 books, how many of her books has she not read?
Answer:
Number of books she has not read =8
Step-by-step explanation:
Number of books Tara has=160
Number of books she has read =Percentage of what she has read x Number of book s she has =95% x 160=152
Number of books she has not read =Number of books Tara has- Number of books she has read=160-152=8
Question in the picture ^
Step-by-step explanation:
try use ruler for AB , AC , & BC ,
then find the area of
How many four digit numbers cannot be divided by 5?
Answer:
2556
Step-by-step explanation:
Pedro spins the pointer of a spinner 10 times. The pointer lands on the color blue 7 times. Write a fraction to represent the part of Pedro's spins that were blue?
Answer:
7/10
Step-by-step explanation:
Out of the ten spins seven landed on blue.
I hope this helps :)
Answer:
The fraction that would represent the part of Pedro's spins that were blue would be [tex]\frac{7}{10}[/tex].
Step-by-step explanation:
In a fraction, there is a numerator and a denominator. In order to get a fraction that would represent the part of Pedro's spins that were blue, you need to put the number of times the pointer landed on blue as a numerator and the total number of spins as the denominator. Therefore a fraction that would represent the part of Pedro's spins that were blue would be [tex]\frac{7}{10}[/tex].
Calculate the length of side WX:
Answer:
WX = 38
Step-by-step explanation:
To get this, we are gong to use the cosine rule
We have the general form as;
a^2 = b^2 + c^2 - 2bc Cos A
Let WX be a
a^2 = 17^2 + 26^2 -2(17)(26) cos 123
a^2 = 1446.46
a = √1446.46
a = 38.03
Reduce to its lowest term: 12/24?
Answer:
12/24 to the lowest term is 1/2
Step-by-step explanation:
12 is half of 24, 1 is half of 2
Answer:
It's lowest term is 1/2.
Type the correct answer in each box. Use numerals instead of words. If necessary, use/for the fraction bar. Consider the given table.
Answer:
The ? represents the number 38 because the average rate of change on every interval of the function is 3
Step-by-step explanation:
Firstly, we calculate the average rate of change over a function can be calculated using the formula below;
f(b) -f(a)/(b-a)
Now, over the interval [-2,2]
we have;
(17-5)/(2/(-2)) = 12/4 = 3
This is expected to be the blanket average rate of change
Thus, we have it that over the interval [5,9]; we have;
3 = f(b) - 26/9-5
3 = f(b) - 26/4
4(3) = f(b) - 26
12 = f(b) - 26
f(b) = 12 + 26
f(b) = 38
WILL GIVE BRAINLIST
WRITE THE PHRASE AS A VARIABLE EXPRESSION. USE X TO REPRESENT “a number”
THE PRODUCT OF 4 AND A NUMBER
Answer:
x+14.
Sum of a number and 14 is x+14.
A delivery company has 2 shipping options. One option is to pay a flat fee of $16 for a single package regardless of weight. The other option is to
pay a fee of $4.50 plus $1.70 per pound for a single package.
Which system of equations can be used to determine the weight, w, of the package, in pounds, where the cost, c, will be the same for both
shipping options?
Step-by-step explanation:
the equation is
c =>
4.50 + 1.70 w = 16
pls help me ill give brainliest and no links pls ty!:)
Given : GH bisects ∠FGI
It means : ∠FGH and ∠HGI are equal
Given :
∠FGH = (5x - 8)°
∠HGI = (6x - 15)°
⇒ 5x - 8 = 6x - 15
⇒ 6x - 5x = 15 - 8
⇒ x = 7°
Substituting the value of x, We get :
∠FGH = 5(7) - 8 = (35 - 8) = 27°
∠HGI = 6(7) - 15 = (42 - 15) = 27°
∠FGI = ∠FGH + ∠HGI = (27 + 27) = 54°
A watch was purchased for Rs. 150 and sold for Rs.300. Find the profit percent.
a.150%
b.50%
c.100%
d.15%
Answer:
c. 100%
Step-by-step explanation:
profit or loss = (sale price - purchase price)/(purchase price) * 100%
profit or loss = (Rs. 300 - Rs. 150)/(Rs. 150) * 100%
profit or loss = (Rs. 150)/(Rs. 150) * 100%
profit or loss = 1 * 100% = 100%
Since the result is positive it is a profit.
Answer: The profit was 100%.
I've never been this confused can someone help? I'll be brainlisting!! it's urgent.
Try this option:
a) 0.5; b) 0.91; c) 2.9; d) 0.72; e) 0.88; f) 0.47; g) 0.33; h) 0.71; i) 1.88; j) 0.42; k) 1; l) 0.87
pls help me ???????????????????
Answer:
Hi♀️
Step-by-step explanation:
ΔMAN≅ΔNED
ΔRED≅ΔRGD
ΔLAN≅ΔLEI
ΔRKI≅ΔIYC
Hope it helps you!
please help 30 points and if I get correct answer i will brainiest them
Answer:
9,-4
Step-by-step explanation:
-9×4=-36
Negative × Positive = Negative
an article which cost money 150 was sold at a loss of 5%.what was the selling price?
Answer:
142.5
Step-by-step explanation:
150/x=100/95
95*150/100=
142.5
How is 1 over 9 a rational number?
Answer:
Because 1/9 is a fraction with integers meaning it is a fraction with whole numbers.
Step-by-step explanation:
Any number that can be written as a fraction with integers is called a rational number. For example, 17 and −34 are rational numbers. (Note that there is more than one way to write the same rational number as a ratio of integers. For example, 17 and 214 represent the same rational number.)
Hope this helps
In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station. The distance between the library and the police station is 5 miles. How far apart are the police station and the fire station?
Answer:
4 miles apart. the answer this question.
can someone help me please with solution
Two sides of a triangle have lengths 4 and 7. Which of the following can NOT be the length of the third side?
Answer:
3 < x < 11
Step-by-step explanation:
triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side
if 'x' is the third side then:
x + 4 > 7
7 + 4 > x
therefore, 'x' must be greater than 3 and less than 11
The value of the third side should be < 11 so, it cannot be 11, the correct option is C.
What is a Triangle?A triangle is a polygon with three sides, three vertices and three angles.
The two sides of a triangle are 4 and 7
According to the property of sides of a triangle, The measure of the third side of a triangle is always less than the sum of the two sides.
The sum of the sides is 4+7 = 11
Let the third side be x
then,
x < 11
The x cannot be 11.
The missing options are
A. 4
B. 7
C. 11
D. 5
To know more about Triangle
https://brainly.com/question/2773823
#SPJ5
Select the correct answer from each drop-down menu.
Complete the number sentence to represent finding the fair share of goldfish in each bowl.
Answer:
30/5=6
Step-by-step explanation:
There’s 30 fish put into five bowls, and there’s six fish in each
The expression 2 - x-1/x+2
is equivalent to
A. 1 - 3/x+2
B. 1 + 3/x+2
C. 1 - 1/x+2
D. 1 + 1/x+2
The expression [tex]2- \dfrac{x-1}{x+2}[/tex] is equivalent to [tex]1 + \dfrac{3}{x+2}[/tex].
We have to find, which equation is equivalent to the given expression.
The given expression is,
[tex]= 2- \dfrac{x-1}{x+2}[/tex]
To determine the equivalent expression following all the steps given below.
Step1; Taking LCM in the equation,[tex]\rm = 2-\dfrac{x-1}{x+2}\\\\= \dfrac{2(x+2) - (x-1)}{x+2}\\\\= \dfrac{2x+4-x+1}{x+2}\\\\[/tex]
Step2; Solving the equation,[tex]= \dfrac{2x+4-x+1}{x+2}\\\\= \dfrac{x+5}{x+2}\\\\[/tex]
Step3; rewrite the equation in the small factors,[tex]=\dfrac{x+5}{x+2}\\\\= \dfrac{x+ 2+3}{x+2}\\\\[/tex]
Step4; By using partial fraction rewrite the equation,[tex]= \dfrac{x+2}{x+2} + \dfrac{3}{x+2}\\\\= 1 + \dfrac{3}{x+2}[/tex]
Hence, The expression [tex]2- \dfrac{x-1}{x+2}[/tex] is equivalent to [tex]1 + \dfrac{3}{x+2}[/tex].
For more details refer to the link given below.
https://brainly.com/question/2264568
Consider the following statement. If r is any rational number and s is any irrational number, then r s is irrational. (a) Which of the following is a negation for the statement? If r is any rational number and s is any irrational number, then r s is rational. If r is any irrational number and s is any rational number, then r s is irrational. There is a rational number r and an irrational number s such that r s is irrational. There is a rational number r and an irrational number s such that r s is rational. (b) What are some values of r and s for which the given statement is false (that is, for which its
Answer:
(a) If r is any rational number and s is any irrational number, then r/s is rational
(b) The statement is false when r is 0
Step-by-step explanation:
Given
[tex]r \to[/tex] rational number
[tex]s \to[/tex] irrational number
[tex]\frac{r}{s} \to[/tex] irrational number
Solving (a): The negation
To get the negation of a statement, we only need to negate the end result
In other words, the number type of r and s will remain the same, but r/s will be negated.
So, the negation is:
[tex]r \to[/tex] rational number
[tex]s \to[/tex] irrational number
[tex]\frac{r}{s} \to[/tex] rational number
Solving (b): When r/s is irrational is false
Given that:
[tex]\frac{r}{s} \to[/tex] irrational number
Set r to 0
So:
[tex]\frac{r}{s} = \frac{0}{s}[/tex]
[tex]\frac{r}{s} = 0[/tex] -- rational
Hence, the statement is false when r is 0
Solve the system of equations -3x - 3y =18 and -4x - y = 0
Answer:
Point Form:
(2,−8)
Equation Form:
x=2 , y=−8
Step-by-step explanation:
Answer:
x=2
y=-8
Step-by-step explanation:
you could calculate it by rearranging and manipulating the equations, but this time I graphed it with desmos as two lines with an intersection
Please help !!!!!!!!
Answer:
C = (4,4)
It is (4,4) because it means that it is twice as large as the original coordinates.