Each of 3 water sprinkler systems covers a semicircle with radius 2m on the
side of a house shown.
What amount of area remains dry? Show your work to explain how you go
your answer, to the nearest square meter. (Dry area is in the shaded
region.)
Answer:
5 meters
Step-by-step explanation:
We can obtain the entire area, both shaded and non-shaded by finding the area of the rectangle ;
Area of rectangle = Length * width
Length = 12 ; width = 2
Area of rectangle = 12 * 2 = 24 m²
Area of semicircle = πr² / 2
The radius, r of each semicircle = 2
Area of each semicircle = π * 2² / 2 = 6.283 m²
Area of the 3 semicircles = 3 * 6.283 = 18.849 m²
Area of dry region:
(24 - 18.849) m²
= 5.151 m²
= 5 m
If θ is an angle in standard position and its terminal side passes through the point (-4,-9), find the exact value of \tan\thetatanθ in simplest radical form.
Given:
θ is an angle in standard position and its terminal side passes through the point (-4,-9).
To find:
The exact value of tanθ in simplest radical form.
Solution:
If θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of tanθ is:
[tex]\tan \theta=\dfrac{y}{x}[/tex]
It is given that, θ is an angle in standard position and its terminal side passes through the point (-4,-9). So, t he exact value of tanθ is:
[tex]\tan \theta=\dfrac{-9}{-4}[/tex]
[tex]\tan \theta=\dfrac{9}{4}[/tex]
Therefore, the required value is [tex]\tan \theta=\dfrac{9}{4}[/tex].
please help…………..i have more to ask
Answer:
YES
Step-by-step explanation:
Find each length using the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
✔️Distance between A(-4, 2) and B(1, 4):
[tex] AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] A(-4, 2) = (x_1, y_1) [/tex]
[tex] B(1, 4) = (x_2, y_2) [/tex]
[tex] AB = \sqrt{(1 - (-4))^2 + (4 - 2)^2} [/tex]
[tex] AB = \sqrt{(5)^2 + (2)^2} [/tex]
[tex] AB = \sqrt{25 + 4} [/tex]
[tex] AB = \sqrt{29} [/tex]
✔️Distance between C(2, -1) and D(4, 4):
[tex] CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] C(2, -1) = (x_1, y_1) [/tex]
[tex] D(4, 4) = (x_2, y_2) [/tex]
[tex] CD = \sqrt{(4 - 2)^2 + (4 - (-1))^2} [/tex]
[tex] CD = \sqrt{(2)^2 + (5)^2} [/tex]
[tex] CD = \sqrt{4 + 25} [/tex]
[tex] CD = \sqrt{29} [/tex]
AB = CD = √29
Therefore, they both have the same length.
what are the steps to this?
Answer:
Start at the positive
x
-axis, then rotate left by the desired angle.
Explanation:
Standard position means the first arm of the angle is the positive
x
-axis, and the other arm is placed by rotating counter-clockwise from there, by the amount of the angle.
As a basic example, the symbol
∠
is about a 45° angle in standard position.
To get a feel for where the second arm (called the "terminal arm") will go, remind yourself that the axes themselves meet each other at 90°.
If our angle was 90°, the terminal arm would be on the positive
y
-axis.
If our angle was 180°, it would be on the negative
x
-axis.
Wait! 180° is more than 150°, so our angle is somewhere in quadrant 2. In fact, 150° is 2/3 of the way between 90° and 180°, so our terminal arm will be 2/3 of the way into quadrant 2.
graph{(y+tan(pi/6)x)(y^2-.00001x)=0 [-10, 10, -5, 5]}
(ignore the part of the line in quadrant 4)
Step-by-step explanation:
PLEASEEE HELPPPPPPP!!!!!!! question is above
AB=5
Step-by-step explanation:
x^2 - 10=3x
x^2 -3x -10=0
x^2 +2x-5x-10=0
x(x+2) -5(x+2) =0
(x-5) (x+2) =0
x-5=0. x+2=0
x=5. x=-2
Y=x+5 y = x + 5 Find four points contained in the inverse. Express your values as an integer or simplified fraction.
Answer: (0,-5), (5, 0), (10, 5) and (15,10).
Step-by-step explanation:
Given equation: [tex]y = x + 5[/tex]
To find its inverse we will find the value of x .
Subtract 5 from both sides
[tex]x=y-5[/tex]
Switch y to x, we get
y= x-5, which is the inverse function.
At x=0,
y=-5
At x= 5,
y=0
At x= 10 ,
y=5
At x= 15,
y= 10
Hence, the four points contained in the inverse: (0,-5), (5, 0), (10, 5) and (15,10).
Plotting the graph after finding the inverse function the four points contained in the inverse fucntion are: (0, -5), (5, 0), (5.1, 0.1), and (5.2, 0.2).
The given equation is,
y = x+5
To find its inverse fucntion,
Replace x with y we get.
x = y + 5
Rearranging it,
y = x - 5
So this is the inverse fucntion.
Since this is of the form of line y = mx + c
Therefore,
To find the points containing contained by inverse fucntion,
Graphing: y = x - 5
After graphing we can see that,
The four points (0, -5), (5, 0), (5.1, 0.1), and (5.2, 0.2) are lies on the line.
Hence the required four points are:
(0, -5), (5, 0), (5.1, 0.1), and (5.2, 0.2)
#SPJ6
There is 28 kg 750 g of sugar in a sack. How many tins of 500 g sugar can be filled using the sugar in the sack?
Answer:
Step-by-step explanation:
28 kg + 750 g = 28*1000 + 750
28000 + 750
= 28750 g
Number of sack = Total quantity of sugar ÷ quantity of sugar in a sack
= 28750 ÷ 500
= 57 sacks
Answer:
57 sacks
Step-by-step explanation:
28750 ÷ 500 =
57 sacks
Glad to help! :)
Question 8
A scuba diver was thirty feet below the surface of the water and ascended
thirteen and a half feet. The diver then descended an additional fifteen feet
from the surface of the water. What is the location of the diver in the water?
a.-48 feet
b.-31.5 feet
c. - 27.5 feet
X d. -28 feet
Answer:
b
Step-by-step explanation:
The scuba diver is 30 feet below, and ascend means up, so you subtract 13.5, and descend means down so you add 15. That’s how you get the answer.
( 3x + 1 ) ( x - 4 ) - ( x + 2 ) ( x - 3 ) = ( 2x + 5 ) x
Giúp tớ tính với
[tex]\sf \bf {\boxed {\mathbb {x\:=\:0.1333}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex](3x + 1)(x - 4) - (x + 2)(x - 3) = (2x + 5)x\\[/tex]
[tex] ➺\: 3x \: (x - 4) + 1 \: (x - 4) - x \: (x - 3) - 2 \: (x - 3) = (2x + 5) \: x\\[/tex]
[tex] ➺\: 3 {x}^{2} - 12x + x - 4 - {x}^{2} + 3x - 2x + 6 = 2 {x}^{2} + 5x\\[/tex]
[tex] ➺\: 2{x}^{2} - 2 {x}^{2} - 10x - 5x + 2= 0\\[/tex]
[tex] ➺\: - 15x = - 2\\[/tex]
[tex]➺ \: x = \frac{ - 2}{ - 15} \\[/tex]
[tex]➺ \: x = \frac{2}{15}\\ [/tex]
[tex] ➺\: x = 0.1333[/tex]
[tex]\huge\bf\purple{*Mystique 35♡༉}[/tex]
Create a linear system to model this situation. Then use substitution to solve the linear system to solve
the problem:
Bobbie has been saving dimes and quarters to buy a new toy. She has a total of 45 dimes and quarters,
with a value of $7.05. How many of each type of coin does Bobbie have?
Answer:
dimes --- x
quarters ---- 28-x
10x + 25(28-x) = 430
Step-by-step explanation:
not sure po
Are the following triangles similar, Explain your answer
The height of a certain plant can be modeled by the formula h = 4 t + 5 where h is the height in millimeters and t is the time in days.
Answer:
The dependent variable is h and the independent variable is t
Step-by-step explanation:
Given
[tex]h(t) = 4t + 5[/tex]
Required
The dependent and the independent variable
The [tex]dependent[/tex] [tex]variable[/tex]is the [tex]variable[/tex] whose value [tex]depends[/tex] on another.
In the above equation, the height (h) depends on time (t) for its value
Hence,
The [tex]depe ndent[/tex] [tex]variable[/tex] is h and the [tex]indep endent[/tex] [tex]variable[/tex] is t
Which is a valid conclusion that can be drawn from these statements?
If a quadrilateral is a rhombus, then it is a parallelogram.
If a quadrilateral is a parallelogram, then its opposite angles are congruent.
A. Opposite angles of a rhombus are congruent.
B.Opposite angles of a quadrilateral are congruent.
C. Every parallelogram is a rhombus.
D. Every quadrilateral is a rhombus.
Answer:
A. Opposite angles of a rhombus are congruent.
Step-by-step explanation:
X=
4
7
9
Does anyone know this please help quick !
Answer:
9
Step-by-step explanation:
Intersecting Chords Formula:
a • b = c • d
where a and b are the segments on one chord and c and d are the segments on the other chord
3*6 = 2*x
18 = 2x
Divide by 2
18/2 =2x/2
9 =x
help..................
Answer:
1. 6084
2. 9261
3. -1
4. 995/364
5. -1/625
Step-by-step explanation:
7/9 × 27/5 whats the answer?
Answer:
21/5 when simplified
Answer:
4 1/5
Step-by-step explanation: 6 20 5 58
7/9 × 27/5 = (7×27) / (9 × 5)
= 189 / 45 divide numerator and denominator by 3
= 63 / 15 simplify
= 4 3/15
= 4 1/5
Harriet and Maya share £300 in the ratio of 7:5. Wirk out how much money harriet gets
Answer:
$175
Step-by-step explanation:
you need to specify if harriet got the 7 portion or the 5 portion. I'll answer as if she got the 7 portion.
They split it into 12 portions because the ratio is 7:5 and 7+5=12. So do $300/12=25
Assuming Maya got the 5 portion, do $25 x 5 = $125, so Maya got $125.
Assuming Harriet got the 7 portion, do $25 x 7 = $175, so Harriet got $175.
What is 2.3(x – 2) = 15
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{2.3(x - 2) = 15}[/tex]
[tex]\mathsf{2.3(x) + 2.3(-2) = 15}[/tex]
[tex]\mathsf{2.3x - 4.6 = 15}[/tex]
[tex]\large\textsf{ADD 4.6 to BOTH SIDES}[/tex]
[tex]\mathsf{2.3x - 4.6 + 4.6 = 15 + 4.6}[/tex]
[tex]\large\textsf{CANCEL out: -4.6 + 4.6 because it gives the number 0}[/tex]
[tex]\large\textsf{KEEP: 15 + 4.6 because that helps solve find the x-value}[/tex]
[tex]\mathsf{15 + 4.6 = \boxed{\bf 19.6}}[/tex]
[tex]\large\textsf{NEW EQUATION: 2.3x = 19.6}[/tex]
[tex]\large\textsf{DIVIDE 2.3 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{2.3x}{2.3}=\dfrac{19.6}{2.3}}[/tex]
[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{2.3}{2.3}}\large\textsf{ because that gives you 1}[/tex]
[tex]\large\textsf{KEEP: }\mathsf{\dfrac{19.6}{2.3}}\large\textsf{ because that gives you the value of x}[/tex]
[tex]\mathsf{\dfrac{19.6}{2.3}= \boxed{\bf x}}[/tex]
[tex]\mathsf{\boxed{\bf x}=\dfrac{19.6}{2.3}}[/tex]
[tex]\boxed{\bf {x = 8.521739}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 8.521739}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:) }[/tex]
I need help with this plz
Answer:
[tex]x^{15}[/tex]
Step-by-step explanation:
Distribute the ^3 on top
(27 [tex]x^{6}[/tex] [tex]y^{-9}[/tex])
distribute the ^ -9 on bottom, only to what is in the parenthesis
(27 [tex]x^{-9}[/tex] [tex]y^{-9}[/tex])
the 27's cross out, the [tex]y^{-9}[/tex] 's cross out
[tex]x^{6}[/tex]/ [tex]x^{-9}[/tex] is left
move the [tex]x^{-9}[/tex] to the top of fraction to change its sign
[tex]x^{6}[/tex] · [tex]x^{9}[/tex] = [tex]x^{15}[/tex]
Consider the system of equations: Equation 1: -2x + 3y=9 Equation 2 : -8.1 – 7y = 10 Before adding the equations together, which would not result in the elimination of the variables in this system? Multiply the first equation by 8 and the second equation by 2. O Multiply the first equation by 7 and the second equation by 3. O Multiply the first equation by 4 and the second equation by -1. o Multiply the first equation by 14 and the second equation by 6.
The first option :
Multiply the first equation by 8 and the second equation by 2
would not result in the elimination of the variables in this system
Simplify 6(x + 3). i suck at math pls help
Answer:
6x +18
Step-by-step explanation:
6(x + 3)
Distribute
6*x + 6*3
6x +18
Answer:
6x + 18
Step-by-step explanation:
Given
6(x + 3) ← multiply each term in the parenthesis by 6
= 6x + 18
Find f(3) given f(x) = -3x^3 + 2x^2 + 24
A. 123
B. -39
C. 69
D. 99
Please help me solve this
Answer:
5890 (none of the above)
Step-by-step explanation:
Answer:
1472.6 in³
Step-by-step explanation:
The volume (V) of the oblique cone is calculated as
V = [tex]\frac{1}{3}[/tex] πr²h ( r is the radius and h the perpendicular height )
Here r = 15 ÷ 2 = 7.5 and h = 25 , then
V = [tex]\frac{1}{3}[/tex] × π × 7.5² × 25
= [tex]\frac{1}{3}[/tex] × π × 56.25 × 25
= [tex]\frac{1}{3}[/tex] × π × 1406.25
= [tex]\frac{1406.25\pi }{3}[/tex] ≈ 1472.6 in³ ( to the nearest tenth )
Will mark brainliest!!!
Answer:
option C , D , E
Step-by-step explanation:
[tex]\sqrt{\frac{1}{16}} = \frac{1}{4} => not \ irrational\\\\\sqrt{\frac{1}{4}} = \frac{1}{2} => not \ irrational\\\\\sqrt{\frac{1}{2}} = > \ irrational\\\\\sqrt{\frac{1}{10}} =>\ irrational\\\\\sqrt{\frac{1}{8}} =>\ irrational\\\\[/tex]
Answer:
1/2, 1/10, 1/8
Jen's class 10 girls and 15 boys. The ratio of girls to boys in Ed's class is the same as the ratio of girls to boys in Jen's class. There are 24 boys in Ed's class. How many girls are in Ed's class?
Answer:
16
Step-by-step explanation:
Jen's class: 10 girls, 15 boys
ratio of girls to boys = 10:15 = 2:3 = 2x:3x
Ed's class
number of boys = 24
ratio of girls to boys = 2x:3x
3x = 24
x = 8
2x = 2(8) = 16
Answer: 16
Answer:
16
Step-by-step explanation:
jsfghsjgehgeujvnegeuge
Answer:
Option 2: 67.014
Step-by-step explanation:
The product of two integers is (-112).
If one of them is (-8), find the other.
Answer:
14
Step-by-step explanation:
To find the other number , divide -112 by -8 and you will get 14.
help asap ---------------------------
Answer:
"D"
the start point is below zero and is doing deeper
Step-by-step explanation:
The masses to the nearest kilogram of nine men were:
75, 68, 78, 82, 85, 90, 88, 92, 76.
Calculate the mean mass
Answer:
82 kg
Step-by-step explanation:
To find the mean of a set of values, we must add them up and divide by the number of values.
Step 1, adding the values:
[tex]75+68+78+82+85+90+88+92+76=\\734[/tex]
Step 2, dividing by the # of terms:
There are 9 terms in total.
[tex]\frac{734}{9} =\\81.556[/tex]
To the nearest kilogram, we can round 81.556 into 82.
The mean mass of the 9 men was [tex]\fbox{82}[/tex] kg.
I hope this helps! Let me know if you have any questions :)
20 men take 10 days to complete a piece of work. find the time taken by 8 men to complete the same piece of work