A circular sector has a central angle of π6 radians and a radius of 9 ft.
What is the area of the sector?
Use 3.14 for pi. Round your answer to the nearest tenth.
Enter your answer in the box.
area = ft2
Answer:
[tex] \approx \: 21.2 \: {ft}^{2} [/tex]
Step-by-step explanation:
[tex]central \: \angle = \frac{\pi ^{c} }{6} = 30 \degree \\ \\ area \: of \: the \: sector = \frac{30 \degree}{360 \degree} \times \pi {(9)}^{2} \\ \\ = \frac{1}{12} \times 3.14 \times 81 \\ \\ = \frac{1}{12} \times 254.34 \\ \\ = 21.195 \: {ft}^{2} \\ \\ \approx \: 21.2 \: {ft}^{2} [/tex]
Answer:
given
π6radian=30°
radius r =9ft
the area of the sector=30°/360×π×r²
=30/360×22/7×9²=21.214ft²
Help me with this!!!
Answer:
Your answer is easy it is 30
please give brainliest
The parallelogram shown below has an area of 72 units?.
h
13
Find the missing height.
Answer:
area is given base is given so area of parallelogram =b x h
or 72=13 x h
or h =72/13=5.5 units
Answer:12
Step-by-step explanation:
I hope everyone who sees this has a wonderful day :)
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: That is a common saying used in the USA as well as many other places. People enjoy when people say this because it helps them feel good and be grateful!
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
a pair of shoes costs $45 at joe's Emporium, and the same pair costs $56 at Fran's Shoes. what is the difference in price between Joe's Emporium and Fran's Shoes?
Answer:
$11
Step-by-step explanation:
to find the difference you subtract
56 - 45 = 11
What is the answer to the question?
Answer:
45Step-by-step explanation:
because the sum of angles of a triangle is equal to 180
Please help with this!
Answer:
Expression is 2(l+w)
Step-by-step explanation:
l is length and w is width
4kg of cheese costs £10.80 how much would 3kg cost
Answer:
£8.10
Step-by-step explanation:
Divide £10.80 by 4 to find the cost of 1 Kg, then multiply this by 3
£10.80 ÷ 4 = £2.70 ← cost of 1 Kg , then
cost of 3 Kg = 3 × £2.70 = £8.10
Answer:
it may helps......
Step-by-step explanation:
we can solve it by unitary method....So,
Cheese (in Kg). Cost (in Rs)
4kg 10.80
3kg X
Now, 4×x = 3×10.80
X=3×10.80/4 (by transposing)
X=2.7×3
X= 8.1 Answer
Mark it as brainlist
help please!! graphs and functions
I need help on this please!
Answer:
H, G, F, E
Step-by-step explanation:
If it isn't it's G, H, F, E
Hope this helps
jane and kate share $240 in the ratio 5:7. show that kate receives $140
Answer:
$140
Step-by-step explanation:
5 + 7 = 12
240/12 = 20
20 x 7 = $140
Hope this helps!!
Select the expression that is equal to –10(4x – 5).
Answer:
-2 (20x - 25)
Step-by-step explanation:
Answer:
40x - 50
Step-by-step explanation:
10(4x)= 40x
10(-5)= - 50
40x - 50
LMN is a right triangle 39 36 15
please help me and solve these, i will give brainliest and worth 25 points!!
Answer:
1. 168 cm^{2}
2. 156 in^{2}
3. 30 cm^{2}
4. 360 ft^{2}
Step-by-step explanation:
All ratio questions. We can set up proportions then cross multiply
1. \frac{8}{12} \frac{112}{x}
8x = (112 x 12)
8x = 1344
x = 168m
2.\frac{4}{8} \frac{78}{x}
4x = (78 x 8)
4x = 624
x = 156in
3. \frac{5}{2} \frac{75}{x}
5x = (75 x 2)
x = 30cm
4. \frac{8}{10} \frac{288}{x}
8x = ( 288 x 10 )
8x = 2880
x =360ft
What is the product?
(9t - 4)(-9 t - 4)
negative 81 t squared minus 16
negative 81 t squared + 16
negative 81 t squared minus 72 t + 16
negative 81 t squared + 72 t + 16
Answer:
The product is -81 t² + 16
Step-by-step explanation:
The product of two binomials (ax + b)(cx + d), where a, b, c, and d are constant
Multiply (ax) by (cx) ⇒ 1st × 1st
Multiply (ax) by (d) and (b) by (cx) ⇒ ext-reams and nears
Add the two products ⇒ like terms
Multiply (b) by (d) ⇒ 2nd × 2nd
Let us find the product of (9 t - 4) and (-9 t - 4)
Multiply the 1st two terms
∵ (9 t)(-9 t) = -81 t²
Multiply the ext-reams
∵ (9 t)(-4) = -36 t
Multiply the nears
∵ (-4)(-9 t) = 36 t
Add the like terms
∵ -36 t + 36 t = 0
Multiply the 2nd two terms
∵ (-4)(-4) = 16
Write the answer
∴ (9 t - 4)(-9 t - 4) = -81 t² + 0 + 16
∴ (9 t - 4)(-9 t - 4) = -81 t² + 16
The product is -81 t² + 16
im just looking for 25/4 (that's a fraction) divided in 3.
Answer:
[tex] \frac{25}{12} [/tex]
Step-by-step explanation:
1) Use this rule: a ÷ b/c = a × c/b.
[tex] \frac{25}{4} \times \frac{1}{3} [/tex]
2) Use this rule: a/b × c/d = ac/bd.
[tex] \frac{25 \times 1}{4 \times 3} [/tex]
3) Simplify 25 × 1 to 25.
[tex] \frac{25}{3 \times 4} [/tex]
4) Simplify 3 × 4 to 12.
[tex] \frac{25}{12} [/tex]
Therefor, the answer is 25/12 and in decimal form it would be, 2.083333.
Jo puts $4500 in a
savings account that
earns 5.5% interest. How
much money will he have
after 18 months?
Answer:
The total money Jo has after 18 months is $4871.25
Step-by-step explanation:
PLEASE Can someone plz help me
9514 1404 393
Answer:
$11,988
Step-by-step explanation:
A graphing calculator gives you the answer easily.
The minimum unit cost is $11,988.
__
The equation for unit cost can be put into vertex form to find the minimum.
C(x) = 0.7x^2 -210x +27738
C(x) = 0.7(x^2 -300x +150^2) +27738 -0.7(150^2)
C(x) = 0.7(x -150)^2 -11,988
This is vertex form:
C(x) = a(x -h)^2 +k . . . . . . . where (h, k) is the vertex.
The vertex of this cost function is (150, 11,988).
The minimum unit cost occurs when 150 engines are produced. That unit cost is $11,988.
Answer:
the answer is $11,988
Step-by-step explanation:
:)
A patio 2 pairs of two parallel sides and 2 pairs of sides that are the same length there are 4 square corners what shape is the patio
Answer:
The patio is a rectangle
Step-by-step explanation:
Since it is given that we have 2 pairs of two parallel sides, which implies 4 sides, this thus shows that the shape is a quadrilateral since, only quadrilaterals have 4 sides. Also, 2 pairs of sides are the same length, and are parallel, it shows that the shape is likely a rectangle.
Finally, there are 4 square corners on the shape which implies 4 right angles. This confirms that our shape is a rectangle since only a rectangle has 2 pairs of two parallel sides and 2 pairs of sides that are the same length there are 4 square corners.
So, the patio is a rectangle.
Write the equation of a line in slope-intercept form with a slope of 2 and
passes through the point (-3,1)
Answer:
y = 2x + 1
Step-by-step explanation:
Hope this helps!
hii please help i’ll give brainliest!!
Answer:
first answer
Step-by-step explanation:
yeaaaaaaaaaa
Consider △XYZ Triangle X Y Z is shown. Angle X Z Y is a right angle. What are the ratios of sine, cosine, and tangent for angle Y? sin(Y) = StartFraction X Z Over X Y EndFraction; cos(Y) = StartFraction Y Z Over X Z EndFraction; tan(Y) = StartFraction Y Z Over X Y EndFraction sin(Y) = StartFraction X Y Over X Z EndFraction; cos(Y) = StartFraction X Z Over X Y EndFraction; tan(Y) = StartFraction Y Z Over X Z EndFraction sin(Y) = StartFraction X Z Over X Y EndFraction; cos(Y) = StartFraction Y Z Over X Y EndFraction; tan(Y) = StartFraction X Z Over Y Z EndFraction sin(Y) = StartFraction Y Z Over X Y EndFraction; cos(Y) = StartFraction X Z Over X Y EndFraction; tan(Y) = StartFraction X Z Over Y Z EndFraction
Answer:
[tex]\sin Y= \frac{XZ}{XY}[/tex]
[tex]\cos Y= \frac{YZ}{XY}[/tex]
[tex]\tan Y= \frac{XZ}{YZ}[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
Find [tex]\sin, \cos[/tex] and [tex]\tan[/tex] of angle Y
For angle Y:
[tex]Opposite = XZ[/tex]
[tex]Adjacent = YZ[/tex]
[tex]Hypotenuse = XY[/tex]
The [tex]\sin[/tex] of an angle is calculated as:
[tex]\sin\theta = \frac{Opposite}{Hypotenuse}[/tex]
So:
[tex]\sin Y= \frac{XZ}{XY}[/tex]
The [tex]\cos[/tex] of an angle is calculated as:
[tex]\cos\theta = \frac{Adjacent}{Hypotenuse}[/tex]
So:
[tex]\cos Y= \frac{YZ}{XY}[/tex]
The [tex]\tan[/tex] of an angle is calculated as:
[tex]\tan\theta = \frac{Opposite}{Adjacent}[/tex]
So:
[tex]\tan Y= \frac{XZ}{YZ}[/tex]
Answer:
C, short answer
Step-by-step explanation:
trust
pls help me fill this one out
Answer:
x=1
Step-by-step explanation:
Just look at the x axis and see where the coordinate lands on and it's 1
The sum of 3rd and 4th terms of GP is 108 ,The sum of 4th and 6th term of the same GP is 324 ,find common ratio
Complete Question
The sum of 3rd and 4th terms of GP is 108 ,The sum of 4th and 5th term of the same GP is 324 ,find common ratio
Answer:
3
Step-by-step explanation:
The formula for Number of term of a GP = ar^n-1
The sum of 3rd and 4th terms of GP is 108
ar² + ar³ = 108... Equation 1
ar²(1+ r) = 108 ..... Equation 1
The sum of 4th and 5th term of the same GP is 324 ,
ar³ + ar⁴= 324... Equation 2
ar³ (1 + r) = 324..... Equation 2
find common ratio
ar²(1+ r) = 108 ..... Equation 1
ar³ (1 + r) = 324..... Equation 2
Solving for r
ar²(1+ r)/ar³ (1 + r) = 108/324
1/r = 1/3
r = 3
Hence, Common ratio = 3
Find the Value of X in simplest radical form and Find the measure of angle A.
Answer:
A = 30°
x = 9·√3
Step-by-step explanation:
Part A
In the drawing, we are given;
The radius of the circle with center at point S = SA = 18
ΔAHA is a right triangle
One of the leg length of ΔASH = 9
The length of the hypotenuse side of ΔASH, AS = 18 The radius of the circle with center at the point 'S'
By Pythagoras's theorem, the length of the (radius) side, AS = √(SH² + AH²)
∴ AH = √(AS² - SH²)
AH = √(18² - 9²) = √(243) = 9·√3
AH = 9·√3
By circle theorem, SH bisects the line AH extended to the circumference of the circle
SH bisects the line with length AH + x
∴ AH = x
x = AH = 9·√3
x = 9·√3
Part B
By trigonometric ratios, we have;
[tex]sin\angle A = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}[/tex]
[tex]\therefore sin\angle A = \dfrac{9}{18} = \dfrac{1}{2}[/tex]
∠A = arcsine (1/2) = 30°
Angle A = 30°
A dune buggy company rents dune buggies at the beach. They charge an initial fee of $30 plus
$10 for each hour the buggy is rented. Let x represent the number of hours and y represent the
total cost of the rental.
a. Identify the slope and y-intercept from the information given.
Slope:
y-intercept:
Answer:
Slope: 10
Y-intercept= 30
Step-by-step explanation:
y= mx + b
m = slope
b = y-intercept
y= 10x + 30
Slope: 10
Y-intercept= 30
help
Write the equation of the line that passes through the points (-4,3) and (-9,3).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
y = 3
Step-by-step explanation:
Since they both go through 3 for the y-coordinate that means the equation is just y = 3.
Write an equation for the data in the table. Identify your variables.
First find the slope m. slope formula: [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
Let's use (0, -20) for x1 and y1; and (2, 10) for x2 and y2
[tex]\frac{10-(-20)}{2-0}[/tex] = [tex]\frac{30}{2}[/tex] = [tex]15[/tex]
Now find the y-intercept: the point where the graph crosses the y-axis. The y intercept always has an x value of 0. So -20 is the y-intercept
Use the slope formula [tex]y = mx + b[/tex]. Slope=m, y-intercept = b
y = 15x - 20
y is the money in the bank account in dollars
x is the day
what is the distance between -a and 0
Answer:
The answer is: a
Step-by-step explanation:
0 - a = -a. So -a + a = 0
If Z3 and 25 are adjacent and
supplementary, what reason could support
the following statement?
Statement
23+ 25 = 180°
Reason
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