Answer:
4. (2√10 +2√17) units
8. 25/2 square units
Step-by-step explanation:
4. The length of JK is given by the distance formula ...
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((3-2)^2 +(6-3)^2) = √(1+9) = √10
The length of KL is given by the same formula:
d = √(4^2 +1^2) = √17
The perimeter is twice the sum of these lengths:
P = 2(JK +KL)
P = 2√10 +2√17
__
8. The area can be computed from coordinates* using the formula ...
A = (1/2)|x1(y2 -y3) +x2(y3 -y1) +x3(y1 -y2)|
A = (1/2)|3(4 -0) +7(0 -7) +4(7 -4)| = (1/2)|12 -49 +12|
A = 25/2 = 12.5 . . . . square units
_____
* One way to look at the problem is as a set of triangles and a trapezoid. The x-axis is the base of the right triangles with line PQ and PR as hypotenuses. The trapezoid is a right trapezoid with parallel bases extending from the x-axis to points Q and R.
The left triangle area is 1/2(1)(7) = 7/2; the right triangle area is 1/2(3)(4) = 6. The area of the trapezoid is 1/2(4+7)(4) = 22. The area of the triangle of interest is the difference ...
area PQR = trapezoid area - (sum of triangle areas) = 22 -19/2 = 25/2
__
If point P were not on the x-axis, then the figure could be resolved into 3 right trapezoids in similar fashion. If you were to use points (x1, y1), (x2, y2), and (x3, y3) instead of numerical values, you could obtain the formula shown above.
Which of the following is true
Answer:
I think its I,II,III
because first r+q = 90 as we'll as z= 90
second s and z are vertically opposite angles and so are equal
third x+s+r= 180 degrees because they are on a straight line
a shaded sector of a circle has an area of 4pi and an angle of 40 degrees. What is the perimeter of the sector?
Answer:
4/9*pi or 1.395
Step-by-step explanation:
We have that area of the circle, that 4 * pi, we can calculate the radius of the circle, knowing that:
A = pi * r ^ 2
replacing:
4 * pi = pi * r ^ 2
r ^ 2 = 4 * pi / pi
r ^ 2 = 4
r = 2
Therefore, knowing the radius, we can calculate the perimeter:
P = 2 * pi * r
replacing:
P = 4 * pi
That is the perimeter of the whole circle, that is to say 360 °, therefore for 40 ° it would be:
4 * pi * 40 ° / 360 ° = 4/9 * pi
That is to say that the perimeter of the sector of 40 ° is 4/9 * pi, if pi is 3.14 it would be:
4/9 * 3.14 = 1.395
Will give brainliest if correct.
Answer:
The answer would be, 81cm.
Step-by-step explanation:
36÷4=9
9×9=81
Sophie is making a rectangular pen for her rabbit. The pen is 4 feet wide and 6 feet long. What is the area of the pen?
Answer:
The area of the pen would be 24 feet.
Step-by-step explanation:
6 multiplied by 4 is 24.
Answer:
24 feet squared
Step-by-step explanation:
the area of a rectangle = l x w
length = 6
width = 4
therefore, 4x6=24
HELP! ASAP! Jason practices his crossover dribble for x minutes per day on weekdays, and for three times as long on each weekend day. How many minutes did Jason practice in 4 weeks?
For what values of x does
25^x = 5^(x2-3?)
Answer:
x = 3 or x = -1
Step-by-step explanation:
25^x = 5^(x^2 - 3)
<=> (5^2)^x = 5^(x^2 - 3)
<=> 5^(2x) = 5^(x^2 - 3)
<=> 2x = x^2 - 3
<=> x^2 - 2x - 3 = 0
<=> x^2 + x - 3x - 3 = 0
<=> x(x + 1) - 3(x + 1) = 0
<=> (x - 3)(x + 1) = 0
<=> x = 3 or x = -1
I hope this helps!
Reflect the triangle in the mirror line
Answer:
image attached
Step-by-step explanation:
see attached
List five rational numbers between -4/7 and 1/2
Answer:
- ²⁾4/7 = - 8/14
⁷⁾1/2 = 7/14
- 8/14 < - 9/14 < - 12/14 < 3/14 < 5/14 < 7/14
al3xis
pleeeeeeeeeeeeeeeeeeeeeeeeeeeeease help meeeeeeeeeeeeee
Answer:
V≈56.55 mm^3Step-by-step explanation:
I used the formula
V=πr^2h
Hope this helps! (brainliest pls?)
The equation of the graphed line is 2x - y = -6.
What is the x-intercept of the graph?
-3
-2
ОООО
2
4
3
6
2
2
3
4
5 6 7
Х
-5/3 -2 -11
-2
L3-
4
Answer:
-3 or (-3,0)
Step-by-step explanation:
When graphed the line 2x-y=-6 intersects the x-axis at the coordinate (-3,0)
Which takes up a larger area: the flowers or the grass?
Answer:
THE GRASS
Step-by-step explanation:
Because the grass takes up a larger area
18,500 g how many grams
22 g how many grams
4.7 kg how many grams
8.3 kg how many grams
135,000mg how many grams
BEST ANSWER GETS BRAINLESST AND A FOLLOW YOU DON'T HAVE TO ANSWER ALL BUT AT LEAST DO SOME PLS ASP!(the pic shows you the same questions)
Answers:
7 grams47000 grams18.5 kg8300 g22000 mg0.135 kgLook at the attached picture
Hope it will help you
Good luck on your assignment....
Answer:
7000 mg = 7 g
18500 g = 18.5 kg
22 g = 22000 mg
4.7 kg = 4700 g
8.3 kg = 8300 g
135000 mg = 135 g
Step-by-step explanation:
First we need to use some important conversion rates so I will write them for below
1 Milligram (mg) = 0.001 Grams (g)
1 Gram (g) = 0.001 Kilogram (Kg)
1 Gram (g) = 1000 Milligrams (mg)
1 Kilogram (Kg) = 1000 Grams (g)
Using the above conversion rates we can solve these questions
Question 1
7000 mg = ? g
Using the information at the top 1 Milligram (mg) = 0.001 Grams (g) so,
0.001 × 7000 = 7 grams
Question 2
18500 g = ? kg
Using the information at the top 1 Gram (g) = 0.001 Kilogram (Kg) so,
18500 ÷ 1000 = 18.5 kg
Question 3
22 g = ? mg
Using the information at the top 1 Gram (g) = 1000 Milligrams (mg) so,
22 × 1000 = 22000 mg
Question 4
4.7 kg = ? g
Using the information at the top 1 Kilogram (Kg) = 1000 Grams (g) so,
4.7 × 1000 = 4700 g
Question 5
8.3 kg = ? g
Using the information at the top 1 Kilogram (Kg) = 1000 Grams (g) so,
8.3 × 1000 = 8300 g
Question 6
135000 mg = ? g
Using the information at the top 1 Milligram (mg) = 0.001 Grams (g) so,
0.001 × 135000 = 135 grams
the volume of a cylinder is 210 cm³ with a radius of 14 cm find the curved surface area if the formula for curved surface area is
2πrh
Answer:
30 cm²
Step-by-step explanation:
we need to find h
V=πr²h
h=V/πr²
h=210/14²π
h=0.341
then we found curved surface area
A=2πrh
A=2×π×14×0.341
curved surface are= 30 cm²
4. Graph the data in the table below. Which kind of function best models the data? Write an equation to model the data.
х
0
1
2.
3
4
- 6
- 9
12
- 15
18
O quadratic; y = -x2 + 2x - 6
linear; y = - 3x -6
O quadratic; y = 32 - 2x
exponential; y = -6•1.5%
Answer:
Option (2).
Step-by-step explanation:
From the figure attached,
Since there is a common difference in each successive term and previous term of y,
[tex]y_{2}-y_{1}=-9-(-6)[/tex]
= -3
[tex]y_{3}-y_{2}=-12-(-9)[/tex]
= -3
Therefore, this data represents a linear equation.
Now we choose two points from the table given.
Let the points are (0, -6) and (1, -9)
Slope of this line 'm' = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
m = [tex]\frac{-9+6}{1-0}[/tex] = -3
Y-intercept 'b' = -6
Equation of the line will be,
y = -3x - 6
Option (2) will be the answer.
BRAINLIEST FOR WHOEVER GETS THIS RIGHT!!!
PLEASE HELP MATHS QUESTION!!!
Answer:
Step-by-step explanation:
1) first, lets rationalize the denominator by eliminating [tex]1+\frac{1}{\sqrt{2} }[/tex]
so multiply [tex]\frac{1}{1+\frac{1}{\sqrt{2} } }[/tex] with the conjugate, [tex]1-\frac{1}{\sqrt{2} }[/tex]
we multiply with the conjugate (opposite) since we can take the conjugate and the original term in the form of (a+b)(a-b)= a^2-b^2, which would allow us to get rid of the square root:
so
(1+1/[tex]\sqrt{2}[/tex])(1-[tex]\frac{1}{\sqrt{2} }[/tex])=(1)^2-([tex]\frac{1}{\sqrt{2} }[/tex])^2
hence we are left with:
1-1/2= 0.5
0.5 is the denominator:
since conjugate is multiplied to both numerator and denominator:
for the numerator (1)([tex]1-\frac{1}{\sqrt{2} }[/tex])
is: 1-[tex]\frac{1}{\sqrt{2} }[/tex]
hence, [tex]\frac{1-\frac{1}{\sqrt{2} } }{0.5}[/tex]
so[tex]1-\frac{1}{\sqrt{2} }[/tex]
is 0.292893
so
0.292893/0.5= 0.058579
and 2-sqrt(2)= 0.058579
hence they both are equal
hope this helps!
If f(x) is a linear function and the domain of f(x) is the set of all real numbers, which statement cannot be true?
Answer:
can u please add the statements.
Step-by-step explanation:
Q 9 : In which quadrant is the following point?(-3, 12) *
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Answer:
The answer for this question is Quadrant III
Hey!!!!
(-3,12) lies in Quadrant II.
please see the attached picture.
Hope it helps...
Good luck on your assignment...
Stay safe..
Find the greatest common factor of the
following monomials:
18g^6h^5
16g^3h^6
Answer:
good luck
Step-by-step explanation:
A triangle has two sides of length 8 and 15. What is the largest possible whole-number length for the third side?
The answer is 120 have a great day. Step-by-step explanation:
PLEASE HELP! Use triangle ROE to find the following. Leave the answer in fraction form (no decimal answer) SHOW WORK
Answer:
tanθ = [tex]\frac{8}{15}[/tex]
Step-by-step explanation:
By applying tangent rule in the given right triangle ROE,
tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tanθ = [tex]\frac{RO}{OE}[/tex]
tanθ = [tex]\frac{8}{15}[/tex]
Therefore, answer will be tanθ = [tex]\frac{8}{15}[/tex]
jason weighs 36 pounds together he and his sister weigh four pounds more than three times the weight of his sister what is the weight w of jason's sister?
A 36+ w= 3; 18 pounds
B 36+ w- =3w; 19 pounds
C 36+ w= 3w+4; 16 pounds
D 36+ w= 3w -4; 20 pounds
Answer:
C 36+ w= 3w+4; 16 pounds
Step-by-step explanation:
jason weighs 36
jason's sister weighs w
together they weigh 36+w
Then ,We can model the statement:
“together he and his sister weigh four pounds more than three times the weight of his sister”.
like this :
36+ w= 3w+4
Please help ASAP, dhdbhehd
Answer:
42°
Step-by-step explanation:
all triangles have 180 degrees, you are given 48. the symbol above 48 tells you it is 90 degrees. ther fore you can use 180- 90 - 48= 42
9.75t + 9 = 13.5t + 12 what is the solution for t
Answer:
t = - 0.8
Step-by-step explanation:
9.75t -9.75t + 9 = 13.5t - 9.75t+ 12
9 = 3.75t +12
9 - 12 = 3.75t
- 3 /3.75= 3.75 t/3.75
- 0.8 = t
Answer:
∴ t= -0.8
Step-by-step explanation:
9.75t + 9 = 13.5t + 12
9.75t-13.5t=12-9
-3.75t=3
-t=3/3.75
-t=0.8
∴ t= -0.8
Hope this helps..Pls mark as Brainliest!!
The graph shown as the solution set for which of the following inequaliter?
Oysix+11
Oysx-1
Oystx-1
Answer: Oysx-1
Step-by-step explanation:
I did same thing and got it right.
Luke is going to reflect point R(6, 10) over the y-axis. What are the coordinates for R'?
Answer: (-6,10)
Step-by-step explanation:
Since you are reflecting over the y-axis, the x value becomes the negative
The coordinates for R' the reflected point are (-6,10).
How does reflection across axis work?When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if we're seeing it in a mirror.
If you study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.
Thus, if you're reflecting a point (x,y) along x axis, then its
f=x
abscissa will stay same but
f=y
ordinates will negate. Thus (x,y) turns to (x, -y)
Similarly, if you're reflecting a point (x,y) along y axis, the resultant image of the point will be (-x,y)
We are given that;
The point R(6, 10)
Now,
When reflecting a point over the y-axis, we simply negate the x-coordinate while keeping the y-coordinate the same.
So, to reflect point R(6,10) over the y-axis, we flip its x-coordinate to get R'(-6,10).
Therefore, by reflection answer will be (-6,10).
Learn more about reflection here;
https://brainly.com/question/28186407
#SPJ3
Match the rate - - .75 -- with corresponding time of year
A. Three Months, 1/4 =
B. Six Months, 6/12 =
C. Nine Months, 9/12 =
D. 1 Month, 1/12 =
Answer: C. Nine Months, 9/12 = 9÷12 = 0.75
Step-by-step explanation:
Hi, to answer this question we have to convert the fraction into decimals and compare:
A. Three Months, 1/4 = 1÷4 = 0.25
B. Six Months, 6/12 = 6÷12 =0.5
C. Nine Months, 9/12 = 9÷12 = 0.75
D. 1 Month, 1/12 =1÷12 = 0.083333
C. Nine Months, 9/12 = 9÷12 = 0.75
Feel free to ask for more if needed or if you did not understand something.
what is the value of x?
Answer:
D 36 degrees
Step-by-step explanation:
You add 65 degrees and 79 degrees together and get 144 degrees
The whole triangle is 180 degrees
So you take 180 - 144
and you get D, 36 degrees
Answer:
D.
Step-by-step explanation:
65º+79º+xº=180º
x=180º-65º-79º
x=115º-79º
x=36º
D.
I need help on this.
The right answer is 6.
Please see the attached picture for full solution.
Hope it helps...
Good luck on your assignment
Answer:
i believe the answer is 6
Step-by-step explanation:
comment if u want an explanation cus i cba to write one for no reason
31 + 33 + 35 + 37 + 39 + ... + 199 = ?
Answer:
The answer is 24
Step-by-step explanation:
What you can do is add all of the numbers (31 + 33 + 35 + 37 + 39)
[tex]31 + 33 + 35 + 37 + 39=175[/tex]
Then subtract 199 by 175
[tex]199-175=24[/tex]
To check add them all together
[tex]31 + 33 + 35 + 37 + 39+24=199[/tex]
Hope this helps
what is 25 percent of 1000
Answer:
250
Step-by-step explanation:
1000 divided by 4 is 250