Answer:
[tex]\displaystyle \theta=0.413\ rad[/tex]
L= 9.086 feet
Step-by-step explanation:
Area of a Circular Sector
Given a circle of radius r, the area of a circular sector defined by a central angle θ (in radians) is given by
[tex]\displaystyle A=\frac{1}{2}r^2\theta[/tex]
And the length of the arc is:
[tex]L=\theta r[/tex]
We know the area of the sector is 100 square feet and the radius is r=33 ft, thus:
[tex]\displaystyle 100=\frac{1}{2}r^2\theta[/tex]
Solving for θ:
[tex]\displaystyle \theta=\frac{200}{r^2}[/tex]
[tex]\displaystyle \theta=\frac{200}{22^2}[/tex]
[tex]\displaystyle \theta=0.413\ rad[/tex]
The arc length is:
[tex]L=0.413* 22[/tex]
L= 9.086 feet
PLEASE HELP ME Determine the premiter of the figure . Use 3.14 for PI Round to the nearest tenth. Numbers are 10 in and 15in
Answer:
5[tex]\pi[/tex]+40
Step-by-step explanation:
perimeter of circle=2[tex]\pi[/tex]r
so 5 is r(radius)
so 10[tex]\pi[/tex], but since it’s semicircle, you have to divide by 2, so
5[tex]\pi[/tex]
perimeter of rectangle=15+10+15 because you don’t count the inside, so that equals 40
so 5[tex]\pi[/tex]+40
The room shown below right is 14 ft by 10 ft. Find the dimensions of each piece of furniture to the nearest tenth . 16))
Answer:
Follows are the solution to this question:
Step-by-step explanation:
Please find the image file of the question:
The dresser dimension is:
[tex]L= 6.0 \ feet\\\\ W= 3.0 \ feet[/tex]
The bed dimension is:
[tex]L = 7.1\ feet\\\\W = 5.7\ feet[/tex]
The table dimension is:
[tex]L = 2.8 \ feet\\\\W= 2.8 \ feet[/tex]
Enter the ordered pair for the vertices for 180°,0)(QRST).
Q
o
S
IR
O Q' = (-1,-3) R' = (-3,3 ) S'= (0,2)T' =(2, -1)
OQ' = (-1,3) R' = (-3,-3) S'=(0, -2)T' =(2, 1)
Q' = (1, -3) R' =(3,3) S' = (0,2)T' = (-2,-1)
Answer:
The ordered pair for the vertices for r₍₁₈₀ ₀₎(QRST), is given as follows;
Q' = (-1, -3) R' = (-3, 3) S' = (0, 2) T' = (2, -1)
Step-by-step explanation:
The coordinates of he vertices of the triangle QRST are;
Q(1, 3), R(3, -3), S(0, -2), T(-2, 1)
A rotation of a point with coordinates (x, y) 180° about the origin gives;
The coordinate of the point of the preimage before the rotation = (x, y)
The coordinate of the point of the image after the rotation = (-x, -y)
Therefore we have;
The image of point Q(1, 3) after 180° rotation = Q'(-1, -3)
The image of point R(3, -3) after 180° rotation = R'(-3, 3)
The image of point S(0, -2) after 180° rotation = S'(0, 2)
The image of point T(-2, 1) after 180° rotation = T'(2, -1)
The ordered pair for the vertices for r₍₁₈₀ ₀₎(QRST), is therefore, Q'(-1, -3), R'(-3, 3), S'(0, 2), and T'(2, -1);
Q' = (-1, -3) R' = (-3, 3) S' = (0, 2) T' = (2, -1).
HELP!!!!
Given that x=6 and y=-4, evaluate each of the following expressions:
A. 5x/3y+x
B. 2x (square) - y (cube)
Answer:
A. 5x/3y+x=5×6/(3×-4)=30/-12=-10/4=-5/2
B. 2x (square) - y (cube)=2×6²-(-4)³=72--64=72+64=136
What is the value of f?
Answer:
42
Step-by-step explanation:
i need help with 9th grade work
Answer: h(-1) is -3.
Step-by-step explanation: Given that the input of the function is -1, we can subsitute that for x.
2(-1) - 1
= -2 - 1
= -3.
Answer:
h (-1)
-3
Step-by-step explanation:
h (-1) = 2 (-1) - 1
simplify 2.. (-1) - 1
answer= -3
Using the expression 7x = 3y, ify is 35, what is x?
A. 35 B. 21 C. 15 D. 105
Answer:
c.15
Step-by-step explanation:
3*35= 105
since 7x=105 you divide 105 by 7 which is 15
Answer:
7x=3y
7x=3(35)
7x=105
x=105/7
x=15
f(-4); f(x) = x2 + x - 4
Answer: 8
Step-by-step explanation: In this problem,
we're asked to find f(-4) or the value of the function when x = -4.
To find the value of the function when x = -4,we simply plug in a -4 for
the x in our function and we have (-4)² + (-4) - 4 or 16 + -4 - 4 which is 8.
So f(-4) = 8.
Washington Middle School is painting a circle on their playground with a radius of 12 feet. What will be the total area of the circle, in square feet?
Answer: circle
A=452.39ft2
R radius 12
A=πr 2=π. 12 ‘2=452.38934ft’2
solve: |2x-1| ≥ 4x+3
Step-by-step explanation:
consider the sign as equals then
move 2x right side 3 on left
solve it
answer is 2
Question is: 2x - 1 >= 4x + 3
First, join the like terms together.
-> So 2x moves into 4x, meaning it becomes negative -2x on the other side.
-> The number 3 moves into the other side which also becomes negative.
Now the equation will look like this:
- 3 - 1 >= 4x - 2x
- 4 >= 2x
Put 2 on the other side with - 4, and it will divide (not plus or minus as 2 was combined with an unlike term).
It looks like this now:
- 4/2 >= x
- 2 >= x
This is the answer.
Do the ratios 7/3 and 6/2 form a proportion.
Yes or no
Answer:
no it not really the same
Step-by-step explanation:
Answer:
No they are not proportional
Step-by-step explanation:
You first cross multiply
since the products do not match they are not proportional
If you have any more quesitons feel free to ask - Mark
ILL GIVE U BRAINLYIST
Answer:
B rectangle
Step-by-step explanation:
The table shows the results of randomly selecting colored marbles from a bag 40 times. The marble was returned to the bag after each selection. Based on the results, what is the expected probability of randomly selecting a green marble from the bag in one attempt?
A: 0.125
B:0.20
C: 0.80
D:1.0
Answer:
Item 23 The table shows the results of randomly selecting colored marbles from ... Are you an educator? ... The marble was returned to the bag after each selection . ... results, what is the expected probability of randomly selecting a green marble ... A . 0.125 B . 0.20 C . 0.80 D . 1.0 Item 24 The six sides of a number cube are ...
Step-by-step explanation:
Answer:
b:0.20 i guess this is the answer.
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPpp
Answer:
12-2=10
Step-by-step explanation:
Your welcome! :D
Using the GCF, what is the factored form of 24v – 84?
3(8v – 28)
6(4v – 14)
12(2v – 7)
24(v – 60)
Answer: 2(3+x)(5-x)
Step-by-step explanation:
Answer:
2(3+x)(5-x)
Step-by-step explanation:
6.37x10^-2
Thanks to anyone who answers this.
Answer:
6.37 x 10^-2 =0.0637
Which of the following could be the side measures of a right triangle?
Answer:
c
Step-by-step explanation:
if you use the Pythagorean Theorem and take the sum of the square of the legs, it will equal the square of the hypotenuse in answer (c)
8² + 6² = 10²
64 + 36 = 100
100 = 100
Answer:
Step-by-step explanation:
C
Write an expression equivalent to 46x + 12), and state the property you used to write it.
Answer:
2(23x+6) is correct answer
Simplify the following:
a) 3^2x3^2
b) 7x7^4
c) 10^9/10^7
d) 5^8/5
Answer:
see attached
Step-by-step explanation:
pleass see attached
what is the correct equation for a line with a slope of 5 and y-intercept of 2
brainliest give an explanation to
Answer:
70 caps, 72 hotdogs, 50 paintings, 8 scouts
Step-by-step explanation:
PLEASE HELP ILL GIVE BRAINLESS IM GOING TO FAIL
Marcus and Mary have £30 between them. The amount of money Marcus has compared to Mary is in the ratio 1:5. How much money would Mary have?
Answer:
25
Step-by-step explanation:
30÷6=5
5×5= 25
.........
The steps used to solve the equation 4x + 3 = 15 for x are shown below.
4+3=15
Step I:
Step II:4=12=3
Which property makes step I true?
Answer:
there's nothing in step 1
it's not clear enough
sian thinks of a number.
it's value is increased by 25%.
express the original number as a percentage of the increased number
will give brainliest
Answer:
80%
Step-by-step explanation:
original: 1
Increase 25%: 1.25 if this number becomes 1
1 : 1.25 = x : 1
x = 1 / 1.25 = 0.8 (80%)
check: 0.8 x 1.25 = 1
i really need help please
Answer:
i dont care F
Step-by-step explanation:
ag
7 (10pts) In △ABC, m∠B = 90°, m∠C = 15°, M ∈ BC . If m∠BAM = 60°, AM = 10 in. Find: AB and MC. B (5pts) Find MC. Answer: MC = in. SAVE ANSWER Need help with formatting? Next
Answer:
MC is 10 in.
Step-by-step explanation:
The given parameters for the triangle ΔABC are;
m∠B = 90°
m∠C = 15°
M ∈ BC
m∠BAM = 60°
AM = 10 in.
From the given information, ΔABC is drawn using Microsoft Visio, from which we have ΔACM
m∠CAM = 75° - 60° = 15° (By angle addition postulate)
m∠CAM = 15° = m∠C, therefore, ΔACM is an isosceles triangle with base angles, m∠CAM and m∠C each equal to 15°
AM = 10 in. = MC, by definition of isosceles triangle
∴ MC = 10 in.
what is the profits?,plz help
What is the Range of
100, 75, 40, 90, 80, 100,
92, 88, 80, 84, 81?
Answer:
60
Step-by-step explanation:
100 is the greatest value, 40 is the lowest 100-40=60
Answer: 60 i think
Step-by-step explanation:
can someone explain how i find the missing angle on this thing
Answer:
70°
Step-by-step explanation:
a + 90 + 20 = 180 {Angles in straight line}
a + 110 = 180
a = 180 - 110
a = 70