Find an equation for the perpendicular bisector of the line segment whose endpoints are (1,-3)(1,−3) and (7,-7)(7,−7).
Answer:
[tex]y=\frac{3}{2} x-11[[/tex]
Step-by-step explanation:
[tex]y-\frac{-7-3}{2} =\frac{-1}{\frac{-7-(-3)}{7-1} } (x-\frac{7+1}{2} )\\y+5=\frac{6}{4} (x-4)\\y=\frac{3}{2} x-11[[/tex]
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:
I need help with 27 and 29 plz
Answer:
27.C
29.B
Step-by-step explanation:
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
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.
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 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 )
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
How many whole numbers less than 2,700,000 end with the digits 2014?
Answer:
1,002,014
Step-by-step explanation:
Which of the following is the solution to the equation 25^(z − 4) = 125? (6 points)
Answer:
Sent you this for a reference so please do the needful to me ASAP as I am now working on the same and I will be sending the same
Answer:
z = [tex]\frac{11}{2}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , then
[tex]25^{z-4}[/tex] = 125 [ 25 = 5² and 125 = 5³ ]
[tex](5^2)^{z-4}[/tex] = 5³
[tex]5^{2z-8}[/tex] = 5³
Since the bases on both sides are equal, both 5, then equate the exponents
2z - 8 = 3 ( add 8 to both sides )
2z = 11 ( divide both sides by 2 )
z = [tex]\frac{11}{2}[/tex] ( = 5.5 )
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
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.
Find f(3) given f(x) = -3x^3 + 2x^2 + 24
A. 123
B. -39
C. 69
D. 99
(x – 3) (x + 6) cuanto es
Answer:
Step-by-step explanation:
(x - 3)(x + 6)
=x(x + 6) -3(x + 6)
=x*x + x*6 - 3*x - 3*6
=x^2 + 6x - 3x - 18
=x^2 + 3x - 18
[tex]\longrightarrow{\green{ \: {x}^{2} + 3x - 18 }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex](x - 3)(x + 6)[/tex]
➼ [tex] \: x(x + 6) - 3(x + 6)[/tex]
➼ [tex] \: {x}^{2} + 6x - 3x - 18[/tex]
➼ [tex] \: {x}^{2} +3x - 18[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
1) En 5 horas 4 operarios fabrican 10 artículos, ¿Cuántos artículos fabricaran 3 operarios en 4 horas?
Answer:
So, in 4 hours , 3 operators makes 6 articles.
Step-by-step explanation:
In 5 hours 4 operators make 10 articles, how many articles will 3 operators make in 4 hours?
In 1 hour 4 operator makes 10/5 = 2 articles
In 1 hour , 1 operator makes = 2/4 = 0.5 article
So,
In 1 hour , 3 operators makes = 3 x 0.5 = 1.5 articles
In 4 hours, 3 operation makes = 1.5 x 4 = 6 articles
The area of a rectangle is expressed as (15x + 20) square feet. If the width of the rectangle is 5 feet, what is an expression to represent the length of the rectangle.
(No picture)
Answer: Length = (15x + 20) / 5
Step-by-step explanation:
The area of a rectangle is calculated as length × width. Since the area of the rectangle is expressed as (15x + 20) square feet while the width of the rectangle is 5 feet, then the expression to represent the length of the rectangle will be:
Area = length × width
(15x + 20) = length × 5
Length = (15x + 20) / 5
Therefore, the expression is Length = (15x + 20) / 5.
Solving further, the length will be:
= (15x + 20) / 5
= 3x + 4
Alex and Jill share £100 in the ratio of 1 : 7 work out how much money Alex gets?
Answer:
$87.50
Step-by-step explanation:
If they split the money 1:7 this means they divided it into 8 portions. (Because 7+1=8). So do $100/8=12.5.
(You never specified who got 1 portion and who got 7, so I will assume Alex got the 7)
Let's say Jill got the 1 portion, she gets $12.50.
Let's say Alex got the 7 portion, he got $12.50 x 7 = $87.50
The amount Alex got is £12.5.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
Alex and Jill share £100 in a ratio of 1:7.
Total ratio = 8x
So,
Alex = 1x
Amount = 1x/8x x 100 = £12.5
Jill = 7x
Amount = 7x/8x x 100 = £87.5
Thus,
Alex got £12.5.
Learn more about ratios here:
https://brainly.com/question/2462048
#SPJ2
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 :)
3x+2y=4
2x-3y=7
a) 2, - 1
b)2 , 1
c)1 , 2
d)- 2 , - 1
Answer:
a) 2, -1
Step-by-step explanation:
3x + 2y = 4
2y = 4 - 3x
y = 2 - 3x/2
2x - 3y = 7
2x - 3×(2 - 3x/2) = 7
2x - 6 + 9x/2 = 7
4x/2 + 9x/2 = 13
13x/2 = 13
13x = 26
x = 2
3×2 + 2y = 4
6 + 2y = 4
3 + y = 2
y = -1
help..................
Answer:
1. 6084
2. 9261
3. -1
4. 995/364
5. -1/625
Step-by-step explanation:
So I'm just making sure...
Complementary angles add up to 90°
Supplementary angles add up to 180°
I've seen many different answers so I am just double checking. Thanks.
Answer:
This is correct.
Step-by-step explanation:
Answer:
Yes...You are right... hope it helps
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.
( 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]
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
What is the formula for solving this
Answer:
<ABC = 68degrees
Step-by-step explanation:
From the diagram, the measure of the given angles are supplementary;
9x+5 + 16x = 180
25x = 180 - 5
25x = 175
x = 175/25
x = 7
<ABC = 9x +5
<ABC = 9(7)+5
<ABC = 63 + 5
<ABC = 68degrees
(6.6 × 10⁰) + (7.8 × 10²)
Answer:
786.6
Step-by-step explanation:
Anything to the ^0 is 1 so its 1 x 6.6 + 100 x 7.8
6.6 + 780
786.6
Answer:
786.6
Step-by-step explanation:
Problem:
(6.6 × 10⁰) + (7.8 × 10²)
Step 1 - Parenthesis:
(6.6 × 10⁰) + (7.8 × 10²)
Step 2 - Exponents(Left to Right):
(6.6 × 10^0) + (7.8 × 10^2) = (6.6 × 1) + (7.8 × 100)
Step 3 - Multiply(Left to Right):
(6.6 × 1) + (7.8 × 100) = 6.6 + 780
Step 4 - Add(Left to Right)
6.6 + 780 = 786.6
Step 5 - Answer:
786.6
Remember:Parenthesis
Exponents(Left to Right)
Multiplication(Left to Right)
Division(Left to Right)
Addition(Left to Right)
Subtraction(Left to Right)
Need help!!! Please
Answer:
I think it is the first one
Step-by-step explanation:
if a×b=a^b what is the value of 2 ×3
Answer:
8
Hope this answer is right!!
Explanation:
Given, a×b=a^b=2 ×3
=2^3
=8
So, the value of 2 ×3 =8.
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
THE LENGTH OF THE CAR IS 435 CM. THE LENGTH F THE GARAGE IS 6 M. HOW MANY CENTIMETERS LONGER IS THE GARAGE THAN THE CAR?
Answer:
235cm longer
Step-by-step explanation:
convert 6m into centimeters which gets you 600cm so you do this:
600 - 435= 235cm
therefore the garage is 235cm longer than the car.
Answer:
600-435 = 165 cm the garage 165 cm is longer than the car