Step-by-step explanation:
5(r + 9) - 2(1 - r) = 1
5r + 45 - 2 + 2r = 1
7r + 43 = 1
7r = -42
r = -6.
Answer:
r = -6
Step-by-step explanation:
Given equation,
→ 5(r + 9) - 2(1 - r) = 1
Now the value of r will be,
→ 5(r + 9) - 2(1 - r) = 1
→ 5r + 45 - 2 + 2r = 1
→ 5r + 2r + 43 = 1
→ 7r = 1 - 43
→ 7r = -42
→ r = -42/7
→ [ r = -6 ]
Hence, the value of r is -6.
ACBM is a segment of a circle such
that CM is the perpendicular bisector of AB.
If ICM 4 cm and IABI= 16 cm, calculate:
a the radius of the circle of which ACBM is a
segment
b the angle that chord AB subtends at the
centre of the circle
c the area of the segment.
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
What is the number in scientific notation of 0.0765
Answer:
7.65x10^-2 should be your answer
Step-by-step explanation:
Calculate unit _____ for rates to compare quantities
Answer:
rate
Step-by-step explanation:
Calculate unit rate for rates to compare quantities
Kenji scores 23 points per coin. After collecting a total of 2 coins, how many points will Kenji have scored in all?
Answer:
46
Step-by-step explanation:
23 x 2 = 46
Hope this helps!
How to solve
- 2b
-- 5(b-6)
(b + 2) • (b - 1) • (b - 3)
Answer:
-2b
-5b+30
Step-by-step explanation:
-2b
-5×b= -5b
-5×-6= (+)30
cancels out the negative because a negative times a negative is a positive
Is 7.87400787401 a rational or irrational number?
find the distance between each points (-1,4) (1,-1)
Answer: The distance is about 5.39 units
Step-by-step explanation:
To find the distance between the two points find the difference in the x and y coordinates and square them to add them and find their square root.
4-(-1) = 5
-1 -1 = -2
5^2 + -2^2 = d^2 where d is the distance
25 + 4 = d^2
29 = d^2
d = [tex]\sqrt{29}[/tex]
d= 5.39
5y^2+5−4−4y^2+5y^2−4x^3 −1
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{4 {x}^{3} + 6 {y}^{2} }}}}}[/tex]
Step-by-step explanation:
[tex] \sf{5 {y }^{2} + 5 - 4 - 4 {y}^{2} + 5 {y}^{2} - 4 {x}^{3} - 1}[/tex]
Collect like terms
⇒[tex]\sf{ 4 {x}^{3} + 5 {y}^{2} - 4 {y}^{2} + 5 {y}^{2} + 5 - 4 - 1}[/tex]
⇒[tex] \sf{4 {x}^{3} + {y}^{2} + 5 {y}^{2} + 5 - 4 - 1}[/tex]
⇒[tex] \sf{4 {x}^{3} + 6 {y}^{2} + 5 - 4 - 1}[/tex]
Calculate
⇒[tex] \sf{4 {x}^{3} + 6 {y}^{2} + 1 - 1}[/tex]
⇒[tex] \sf{4 {x}^{3} + 6 {y}^{2} }[/tex]
Hope I helped!
Best regards! :D
a middle school counselor randomly sampled students about their favorite subjects. According to the table, what is the total number of students participating in the random sample? answer
Answer:
67+72+65= 204
Step-by-step explanation:
12. Find the area of the rectangle. + 2
Answer:
The formula for the rectangle is base times the height. Since theres
no picture. SORRY!!
Step-by-step explanation:
(-5)-9=
A.-19
B.-9
C.9
D.19
Answer:
-14 is the answer
cos' -5 - 9 is like you owe 5 dollars and you owe 9 dollars that is you owe 14 dollars so because you owe it will be -14
Step-by-step explanation:
Please mark me as the brainliest. It really helps
There are 200 pupils in year 11.
125 are female, of these 68 have school dinners.
52 boys have school dinners.
Use this information to complete the frequency tree.
Answer:
Sbsnsndndndjjbsndmmdmddndndn
Step-by-step explanation:
Bsbsnsjsjskdkck
help w this / asap!
Answer:
The answer should be p >= 7
1.) Given N is between M and P. If MN = 3x +2, NP = 18, and MP = 5x find the length of each
segment
Step-by-step explanation:
MN=MP+PN
3X+2=5X-18
2X=20
X=10
MP=50
MN=32
NP=18
a building is 3.1×10^2 feet high.a new roof increased its hight by 0.00005 feet how high is the building now
Why might this information be important to Jack in the Box?
Answer:
They have the most sales on Thursdays, and the least sales on Friday, so they might want to have specials on Friday to get more people.
The area of a rectangle is 25/42 and its width is 5/6. What is the length? ASAP
Answer:
[tex]length = \frac{25}{28} [/tex]Step-by-step explanation:
Let the length of the rectangle be l
Area of a rectangle = length × width
From the question
Area = 25/42
width = 5/6
Substitute the values into the above formula and solve for the length
That's
[tex]length = \frac{area}{width} [/tex]So we have
[tex]length = \frac{25}{42} \div \frac{4}{6} \\ = \frac{25}{42} \times \frac{6}{4} \\ = \frac{25}{7} \times \frac{1}{4} [/tex]We have the final answer as
[tex] \frac{25}{28} [/tex]Hope this helps you
Plz help fast aaaaaaaaahhhhhhhh
Answer:
70
Step-by-step explanation:
250 costumers who bought gas
72% of the costumer made an additional purchases.
find:
how many of the costumers made additional purchases?
solution:
250 - (0.72 x 250) = 70
What is 7.96 repeating as a mixed number in simplest form
Answer:
Ion even know jus need points
Step-by-step explanation:
If it is 5º outside and the temperature will drop 17º in the next six hours,how cold will it get? *
Answer:
-12 degree hope this helps you
Step-by-step explanation:
:
5 - 17 = -12
Answer:
_________
-12 degrees.
"Four more than the quotient of a number and 3 is at most 9."
Answer:
(n/3) + 4 ≤ 9
Step-by-step explanation:
"Four more than the quotient of a number and 3" is represented by
n/3 + 4
and this quantity is "at most 9:"
And so we get:
(n/3) + 4 ≤ 9
Please help. What is the answer to the Algebra 2 question
Answer:
(- ∞,1]
Step-by-step explanation:
Middle schoolers help!!!!!!!Witch expresion has the same value has the model bellow!
Answer:
Its the second one 4-(-8)
Plz help! Ive been stuck on this for hours!!!!
Answer:
h[tex]\geq[/tex]8
Step-by-step explanation:
h-(-2)[tex]\geq[/tex]10=h+2[tex]\geq[/tex]10
subtract 2 on both sides to get h[tex]\geq[/tex]8
how is the graph misleading?
Answer:
This graph is misleading because the colours of them are different.
Hope this helps!
A basketball concession stand sells soda for $1.50, a bag of popcorn for $.50, and a candy bar for $1.25. At one game, 17 fewer candy bars were sold than bags of popcorn. That same night, the number of sodas sold was 7 more than the number of candy bars and bags of popcorn sold altogether. If the concession stand made $130 that night, how many of each item were sold?
Answer:
87 I am getting points yayyyy
There are two diferent maps of Ohio.
◦The scale on the first map is 1 cm to 10 km. The distance from Cleveland to Cincinnati is 400km.
◦The scale on the second map is 1 cm to 50 km.
What is the distance from Cleveland to Cincinnati on the second map? Explain your reasoning.
Which numbers in set A = {-7,-4,2,14,21,34,42} are elements of both set B and set C, shown below?
Set B= {even numbers} Set C= {multiples of 7}
_______ or ________
Enter answers from smallest to largest
Answer:
Hey there!
The numbers in set A and B are 14, and 42.
Let me know if this helps :)
Answer:
14 & 42
Step-by-step explanation:
Because they are the only even numbers found in set A. And also found in the multiplies of 7 in set B.
an adult panda will eat at least 20 pounds of bamboo every day. What an inequality that expresses this situation.
Answer:
is greater than or equal to 20
The label on Emma's muffin said that one serving provided 6 grams of fat, which is 10% of the recommended daily amount. What is the total recommended daily amount of fat?
0.6 because 6 divided by 10% is 0.6