Answer:
a. 8.94 cm b. 127° c. 12.37 cm²
Step-by-step explanation:
a. Since CM = 4 cm is the perpendicular bisector of AB = 16 cm and r is the radius off the circle. From Pythagoras' theorem,
r² = (AB/2)² + CM²
r = √[(AB/2)² + CM²]
Substituting the values of the variables into r, we have
r = √[(16/2)² + 4²]
r = √[8² + 4²]
r = 4√[2² + 1²]
r = 4√[4 + 1]
r = 4√5 cm
r = 8.94 cm
b. We know that the length of a chord L = 2rsin(θ/2) where r is the radius of the circle, and θ is the angle subtended by the chord AB.
Since L = 2rsin(θ/2) and L = AB = 16 cm,
L/2r = sin(θ/2)
taking sine inverse of both sides, we have
θ/2 = sin⁻¹(L/2r)
multiplying both sides by 2, we have
θ = 2sin⁻¹(L/2r)
substituting the values of the variables, we have
θ = 2sin⁻¹[16/(2 × 8.94)]
θ = 2sin⁻¹[16/17.88]
θ = 2sin⁻¹[0.8949]
θ = 2 × 63.49°
θ = 126.98°
θ ≅ 127°
c. The area of a segment A is given by
A = (θπ/360 - sinθ)r²/2 where θ is the angle subtended by the segment and r = radius of the circle
since θ ≅ 127° and r = 4√5 cm, substituting these values into A, we have
A = (127°π/360 - sin127°)(4√5)²/2
A = (398.93/360 - 0.7988)40
A = (1.1081 - 0.7988)40
A = 0.3093 × 40
A = 12.372 cm²
A ≅ 12.37 cm²
Pat and Julie share some money in the ratio 2 : 5 Julie gets $45 more than
Pat. How much money did Pat get? (SHOW WORKING)
plsssss helppp
Answer:
Pat receives $18.
Step-by-step explanation:
Pats get 18 dollars because he only gets 40 percent of what Julie gets and 40% of 45 is 18.
if
a+1/a=4-root15 find a^2 +1/a^2
62 is the correct answer of this question
what are LOGARITHMS...???
Step-by-step explanation:
A logarithm is a mathematical operation that determines how many times a certain number, called the base, is multiplied by itself to reach another number. ... Logarithms even describe how humans instinctively think about numbers.
Answer:
A logarithm tells what exponent (or power) is needed to make a certain number, so logarithms are the inverse (opposite) of exponentiation. Just as an exponential function has three parts, a logarithm has three parts. The three parts of a logarithm are a base, an argument (also called power) and an answer.
Step-by-step explanation:
1-8 Homework Exercises Course 2 Mathematics Common Core
POSSIBLE POIN The value of the expression is (Do without a calculator. Leave your answer as a reduced improper fraction and use "" as your fraction bar.)
how many centimeters are in 32 metered
Answer:
3,200
Step-by-step explanation:
A meter is equivalent to 100 centimetres, so if you did 32 x 100, you'd get your answer :)
HELPPP!!
SIMPLIFY!!!
5x²-7y+3x²-8y
Answer:
8
x
2
−
15
y
Step-by-step explanation:
Hope that helps
how many pounds are in 5 kg
11.025 pounds
15.435 pounds
15.876 pounds
24.255 pounds
Answer:
11.025 pounds are in 5kg
Ur answer is a ur welcome
Need help, numbers scare me lol pls help
Answer:
none are a solution
Step-by-step explanation:
9. 2=2·3 10. 6=2·-1 11.-14=2·-1.5
2=6 6=-2 -14=-3
WRONG WRONG WRONG
(3,2) (-1,6) (1.5,-14)
Given equation:y=2x+4
The perimeter of a playing field for a certain sport is 334ft. The field is a rectangle, and the length is 47 ft longer than the width. Find the dimensions.
Answer:
The dimensions of the rectangle = 60ft by 107ft
Where 60 ft = Width of the playing field
107ft = Length of the playing field
Step-by-step explanation:
A playing field is Rectangular is shape, hence,
The formula for Perimeter of a rectangle = 2(L + W)
P = 334 ft
L = 47 + W
W = W
Hence we input these values in the formula and we have:
334 = 2(47 + W + W)
334 = 2(47 + 2W)
334 = 94 + 4W
334 - 94 = 4W
240 = 4W
W = 240/4
W = 60
There fore, the width of this playing field = 60 ft
The length of this rectangle is calculated as:
47 + W
47 + 60
= 107 ft
The length of this playing field = 107ft
Therefore the dimensions of the rectangle = 60ft by 107ft
In the diagram AB Is the perpendicular bisector of PH. Help
Answer:
1,2 and 5 are your right answers! Please vote Brainliest!
Step-by-step explanation:
Last year, Kenia got a 350 on her 6th Grade Math EOG. This year Kenia earned a 399, which was a high enough score to make a Level 4. What was the percent of increase in Kenia's score?
Answer:
14%
Step-by-step explanation:
Last year's score = 350
This year's score = 399
What was the percent of increase in Kenia's score
Percentage increase= (new score - old score) / old score × 100
= (399-350) / 350 × 100
= 49 / 350 × 100
= 0.14 × 100
= 14%
The percent of increase in Kenia's score is 14%
Find the distance between each pair of points.
U(1,3), B(4,6)
Answer:
3√2units or 4.24 units
Step-by-step explanation:
using the formula √∆x^2+∆y^2
√3^2+3^2
√18
= 3√2 or 4.24 units
(3x+4) and (2x−3). What is the perimeter of the park?
Answer: 10x-2
Step-by-step explanation:
I assume this is a rectangular park
Formula for perimeter: 2(l + w)
l= 3x+4
w= 2x-3
--------------------------------------------------------
Use PEMDAS to simplify (basic operation from left to right)
ParenthesesExponentsMultiplication and DivisionAddition and subtraction2(l+w)
=2[(3x+4)+(2x-3)]
=2[3x+4+2x-3]
=2[5x-1]
=10x-2
The total bill for a restaurant meal includes the cost of the meal, m, a 5% tax on the
food, and a tip, t. The expression representing the total cost is m + 0.05m + t.
Which expression represents the tax paid on the meal?
Answer:
Hey there!
The tax paid on the meal is represented by 0.05m.
Let me know if this helps :)
Let f(x) = 3x² - x, find f(-3) *
Answer:
30
Step-by-step explanation:
if f(x)=3x^2 - x then,
f(-3)=3*-3^2 -(-3)
=3*9 +3
=27+3
=30
So, The value of f(-3) is 30
Hope Thiswill be helpful for you.
A family of two adults and three children went to a water park. Admission to the water park costs $18 per person. Nora used the expression 2 (18) + 3 (18) to model the total cost for the family, and Alex used the expression 5 (18). Which property of operations makes both of their expressions correct am so sorry i forgot
Answer:
communtive property of multiplication
Answer: commutative property ⚡
Step-by-step explanation
What is the value of x in the equation −x = 3 − 4x + 15?
Answer:
x = 6
Step-by-step explanation:
First of all you should collect like terms
-x = 18 - 4x
Then you should move the variable to the left
-x + 4x = 18
After that you should collect like terms
3x = 18
Finally divide both sides by 3
x = 6
Hope this helps!
Answer:
6
Step-by-step explanation:
5) Alex's house (point F) lies on the same street as her school (point H). Alex's bus stop (point G) lies between her
house and her school. Given FG equals (2x) meters, GH = 1,000 meters, and FH equals 1.200 meters, what is z?
Answer:
Answer:
100 meters
Step-by-step explanation:
Given the following :
Alex house = F
Alex school = H
Alex bus stop = G
FG = 2x meters
GH = 1000meters
FH = 1200 meters
Hence,
FH = FG + GH
1200 = (2x + 1000) meters
1200 = 2x + 1000
1200 - 1000 = 2x
200 = 2x
x = 100meters
Hence, x = 100 meters
Can anyone solve this word problem?
Answer:
Mrs. Davis package is 30 ounces
Step-by-step explanation:
x for ounces
mailbox plus=0.25x+5
united package=0.35x+2
since Mrs.Davis noticed that she is going to pay same price then:
0.25x+5=0.35x+2
5-2=0.35x-0.25x
3=0.10x
x=3/0.10
x=30 ounces
Mrs. Davis package is 30 ounces
check:
0.25x+5=0.25(30)+5= 12.5 dollars
o.35(30)+2=12.5 dollars
if this figure is reflected across the x-axis, what is the orientation of the reflected figure?
AC−⇀− bisects ∠BAD.If m∠BAC=38°, find the m∠BAD.
Answer:
180-38=142 the other angle is 142
Step-by-step explanation:
Solve one point -x+2=-3x+18
Answer:
x=8
Step-by-step explanation:
-x+2=-3x+18
=>-x+3x=18-2
=>2x=16
=>x=16/2
=>x=8
Marcus is skiing. He is 869 1/10 get up the mountain. He descends to 450 7/10 feet. What is his change in elevation
Answer:
418 4/10
Step-by-step explanation:
To answer this we subtract 450 7/10 from 869 1/10.
We must borrow a '1' from 869 1/10: 868 11/10
Now subtract 450 7/10 from 868 11/10:
418 4/10 (CHANGE IN ELEVATION)
This reduces to 418 2/5.
Given: {(−2, 3), (−1, 2), (0, 2), (−2, 9)}. Is this relation a function? Explain.
Answer:
No
Step-by-step explanation:
(-1,2) and (0,2) have the same y value. Functions cannot share the same y value
The relationships represents by {(−2, 3), (−1, 2), (0, 2), (−2, 9)} is not function.
Given that, {(−2, 3), (−1, 2), (0, 2), (−2, 9)}. Is this relation a function is to be specified.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
In the relation {(−2, 3), (−1, 2), (0, 2), (−2, 9)}
(−2, 3), (−2, 9) are two pairs that show two images of one pre-image that why it is not a function.
Thus, the relationships represents by {(−2, 3), (−1, 2), (0, 2), (−2, 9)} is not function.
Learn more about function here:
brainly.com/question/21145944
#SPJ2
-5x+11>-4 please solve
Answer:
if you were solving for X the answer would be x < 3
Step-by-step explanation:
It is known that 2.2< (square root of 5) <2.3. Find all possible values of the expression: 3− (square root of 5) Answer in the format of the picture.
Answer:
.7<3-square-root 5<.8
Step-by-step explanation:
The value of 7 in 17.92 is
The value of 7 in 17.92 is in the ones place.
Tina learns 2 new appetizer recipes during each week of culinary school. After 19 weeks of culinary school, how many total appetizer recipes will Tina know?
Answer:
38 recipes
Step-by-step explanation:
1 week=2 recipes
19 week=19×2 recipes
=38 recipes
Plz,marks me as a brainest ok.
Help me ill give u a thanks!
Answer:
11. 68.6 mph
12. 5/6 page (0.83)
Step-by-step explanation:
You simply divide them (remember the word "per" means divide).
[tex]\dfrac{120}{1 \frac34} \approx 68.6[/tex]
[tex]\dfrac{8 \frac13}{10} = \frac56[/tex]