Answer:
4 cm
Step-by-step explanation:
Perimeter = 18cm
θ = 2.5 radian
s = rθ, s = Arc length
Perimeter of Sector, P = arc length, s + 2r
Perimeter = rθ + 2r
r = Radius
18cm = r(2.5) + 2r
18cm = 2.5r + 2r
18cm = 4.5r
r = 18 /4.5
r = 4
A pool measuring 12 meters by 26 meters is surrounded by a path of uniform width, as shown in the figure. If the area of the pool and the path combined is 576 square meters, what is the width of the path?
The width of the path is __?__ meters
Answer:
path width = 3 m
Step-by-step explanation:
let x = the width of the path
(12 + 2x)(26 + 2x) = 576
312 + 24x + 52x + 4x² = 576
4x² + 76x - 264 = 0
divide both sides of the equation by 4:
x² + 19x - 66 = 0
(x + 22)(x - 3)= 0
x = 3 m
Which of the following is the radical expression of2 times d to the seven tenths power? (2 points)
a
seventh root of 2 d to the tenth power
b
tenth root of 2 d to the seventh power
c
2 times the tenth root of d to the seventh power
d
2 times the seventh root of d to the tenth power
Solve for u. -5u/8=-10
Answer:
u 16
Step-by-step explanation:
2x+1=7 .explanation please
Answer:
x=3
Explanation
2x+1=7
Step 1: Subtract 1 from both sides.
2x+1−1=7−1
2x=6
Step 2: Divide both sides by 2.
2x/2 = 6/2
x=3
plz mark me as brainliest
What is 48 divided by 613
Answer:
0.07830342577 is the correct answer.
Step-by-step explanation:
Hope this helped Mark BRAINLIEST!!!
Answer:
0.07830343
Step-by-step explanation:
2,451 people came to watch the Easter parade. 745 of those people were adults. How many children came to the parade?
Answer:f
Step-by-step explanation:d
Find the value of x. I WILL GIVE YOU BRAINLIEST!!!!
Hi there!
[tex]\large\boxed{x = 40}[/tex]
We can solve for x knowing that the sum of interior angles in a triangle is 180°.
The square at the bottom indicates a right angle, or 90°. Therefore:
180 = 90 + x + (x + 10)
Combine like terms:
180 = 100 + 2x
Subtract 100 from both sides:
180 - 100 = 2x
80 = 2x
Divide both sides by 2:
x = 40.
Answer:
hi
Step-by-step explanation:
x+90⁰+x+10=180
x+x+10=180-90
2x+10=90
2x=90-10
2x=80
x=80/2
x=40
have a nice day
(-3)(a +x), if a =8, x = -10
Answer:
6
Step-by-step explanation:
a =8
x = -10
(-3)(a +x)
(-3)(8 - 10)
(-3)(-2)
6
Which values are solutions to the inequality below?
Check all that apply.
x2 < 81
A. 6
B. 9
C. 10
D. -4
E. -9
F. -12
Answer:
Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.
Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.
Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.
Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.
Pls help i'm lost il give brainly
Answer:
a= 16
b= -8
c= 6
d= -16
e= -4
Step-by-step explanation:
Answer:
Step-by-step explanation:
A= 16 degrees
B= -8 degrees
C= 6 degrees
D= -16 degrees
E= -4 degrees
The life in hours of a biomedical device under development in the laboratory is known to be approximately normally distributed. A random sample of 15 devices is selected and found to have an average life of 5625.1 hours and a sample standard deviation of 226.1 hours.
(a) Test the hypothesis that the true mean life of a biomedical device is greater than 5500 using the P-value approach.
(b) Construct a 95% lower confidence bound on the mean.
(c) Use the confidence bound found in part (b) to test the hypothesis
Answer:
Kindly check explanation
Step-by-step explanation:
H0 : μ = 5500
H1 : μ > 5500
The test statistic assume normal distribution :
Test statistic :
(Xbar - μ) ÷ s/sqrt(n)
(5625.1 - 5500) ÷ 226.1/sqrt(15) = 2.1429 = 2.143
Pvalue from test statistic :
The Pvalue obtained using the calculator at df = 15 - 1 = 14 is 0.025083
α = 0.05
Since ;
Pvalue < α
0.025083 < 0.05 ; Reject H0
The confidence interval :
Xbar ± Tcritical * s/sqrt(n)
Tcritical at 95% = 1.761 ;
margin of error = 1.761 * 226.1/sqrt(15) = 102.805
Lower boundary : (5625.1 - 102.805) = 5522.295
(5522.295 ; ∞)
The hypothesized mean does not occur within the constructed confidence boundary. HENCE, there is significant eveidbce to support the claim that the true mean life of a biomedical device is greater than 5500
Which is the graph of the linear equation y=-1/4x+3
Answer: The Y-intercept would be positive 3, and your slope would be for every single risen coordinate on the Y axis, you move on the X-axis by 4.
What are the roots of the equation?
x2 + x - 6 = 0
ABC-DBE. Find the missing side length.
Answer:
x=13.5
Step-by-step explanation:
4.5/6=x/18
cross multiply
6x=18(4.5)
6x=81
x=81/6
x=13.5
The probability that Tristan wins a certain game of chance is 1/4. If he plays the game 120 times, how many times can he expect to win the game? _________ times
He is expected to win about 30 times. 1/4 times 120
Gabi has been watching TV for 26 minutes. It is now 5:48. What time did she start watching?
what adds to 3 and multiplies to -70
A pair of jeans is on sale for 20% off. The sale price is $55.00. What is the original amount of the pair of jeans?
Answer:
$86.75 i think
Step-by-step explanation:
Emani borrowed $2,000 from his bank. The loan will be compounded quarterly for 3.5 years at an 8% interest rate. The full amount to the nearest
whole cent) he will owe to the bank (principal + interest) is:
Note: Use the formula: FV = P(1 + yt.
Answer:$3,661.24.
Step-by-step explanation:
In ΔLMN, the measure of ∠N=90°, MN = 3.4 feet, and NL = 7.5 feet. Find the measure of ∠L to the nearest tenth of a degree.
Answer:
24.4
Step-by-step explanation:
just did it delta
The product of 1 1/2 and 2 is less than, equal to, or greater than 2
Answer:
The answer is 1 1/2 < 2
Step-by-step explanation:
If we convert 1/2 into a decimal, we would get .5. Add that to 1 and we get 1.5. Therfore, 2 > 1.5
Can someone please tell me the answer
It's B because 2 equals 86 dgrees since its vertical angles
Angles relationships
2x = 74
x = 74 ÷ 2
x = 37
that's all
Answer:
x = 37
Step-by-step explanation:
x2 = 74
74 ÷ 2 = 37
therefore the answer is x = 37
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Jose draws ABC. AB has a length of 10 inches and BC has a length of 15 inches.
Determine whether each measurement could be the length of AC.
Choose Yes or No for each measurement.
a. 4 inches Yes : No
b. 15 inches Yes : No
c. 23 inches Yes : No
d. 5 inches Yes : No
e. 25 inches Yes : No
f. 10 inches Yes : No
Answer:
Step-by-step explanation:
The length of AC should be between 5 inches and 25 inches
Jose in this problem draws a triangle, ABC.
We know the length of two sides of the triangle:
AB = 10 inches
BC = 15 inches
The length of the third side in a generic triangle can be calculated using the cosine theorem:
where
a, b, c are the three sides
is the angle opposite to side
Looking at the formula, we observe that:
- The maximum value for is obtained for , so that . In this case, the length of the missing side (AC, in this case) is
- The minimum value for is obtained for , for which , so in this case the length of AC is
So, the length of AC must be between 5 and 25 inches.
-Random Brainly user
Answer:
10 inches and yes
Step-by-step explanation:
if you start with A then draw a line to B which is 10 inches, then you draw to C 15 inches. to finish the triangle would be A to C which would be the same thenth as A to B. your only choice to finish the triangle is A to C. left and right side of the triangle would be the same. bottom of the triangle is 15, B to C
complete the inequality statement
4/13 __6/13
Ninety percent of the 50 members of Clean and Green Movement voted for the new
president. How many did not vote for the new president?
Answer:
5
Step-by-step explanation:
90% of 50 is 45.
So 50-45
5
Hope this helps
Will give brainliest
Find the area of the following
parallelogram:
2 cm
4 cm
3 cm
A= [?] cm?
Answer:
Area of the parallelogram =base×height
area of parallelogram =3cm×2cm
area of parallelogram = 6cm²
The area of parallelogram is 6 square units.
What is a parallelogram?A parallelogram is a quadrilateral whose opposite sides are parallel and equal in length. The opposite angles of a parallelogram are equal. The diagonals of a parallelogram bisect each other.
For the given situation,
The base of the parallelogram,b = 3 cm
The height of the parallelogram,h = 2 cm
The formula of area of parallelogram is
[tex]A=bh[/tex]
⇒ [tex]A=(3)(2)[/tex]
⇒ [tex]A=6[/tex]
Hence we can conclude that the area of parallelogram is 6 square units.
Learn more about parallelogram here
https://brainly.com/question/16056863
#SPJ2
HELP PLS WHOEVER ANSWERS ILL GIVE BRAINLIEST
Answer:
A: 30
B: y=30x+14
Step-by-step explanation:
A
The rate of change, or slope, can be found from any two points (x1,y1) and (x2,y2), using the formula (y2-y1)/(x2-x1).
Let's use the points (0,14) and (2.2,80):
slope = (y2-y1)/(x2-x1)
= (80-14)/(2.2-0)
= 66/2.2
= 30
B
The slope-intercept form of a linear equation is y=mx+c, where x and y are any co-ordinates on the line, m is the slope and c is the y-intercept. Since we already know our slope (30), we can just plug this and some point on the line (eg (0,14)) into the equation to find c:
y=mx+c
14=(30)(0)+c
14=0+c
c=14
Therefore our equation is y=30x+14
LOOK AT THE IMAGE!!!
DO NOT JUST ANSWER FOR POINTS
Answer:
C) (-3,-1)
Step-by-step explanation:
C) (-3,-1)
The current population of the Earth is estimated to be about 7,440,000,000 people. Express this number using scientific notation.
Answer:
7.44 × 10⁹
Step-by-step explanation:
You would take a decimal point from the last zero to in-between 7 and 4 and see how many places you moved it then write the scientific formula.
9 spaces so it would be 7.44 × 10⁹
The scientific notation of the current population of the Earth will be;
⇒ 7.44 × 10⁹
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The current population of the Earth is estimated to be about 7,440,000,000 people.
Now,
Since, The current population of the Earth = 7,440,000,000 people
Hence, The scientific notation of the current population of the Earth is written as;
⇒ 7,440,000,000
⇒ 7.44 × 10⁹
Thus, scientific notation of the current population of the Earth is,
⇒ 7.44 × 10⁹
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ2