Answer:
Perimeter of PQR = 37 units (Approx.)
Step-by-step explanation:
Using graph;
Coordinate of P = (-2 , -4)
Coordinate of Q = (16 , -4)
Coordinate of R = (7 , -7)
Find:
Perimeter of PQR
Computation:
Distance between two point = √(x1 - x2)² + (y1 - y2)²
Distance between PQ = √(-2 - 16)² + (-4 - 4)²
Distance between PQ = 18 unit
Distance between QR = √(16 - 7)² + (-4 + 7)²
Distance between QR = √81 + 9
Distance between QR = 9.48 unit (Approx.)
Distance between RP = √(7 + 2)² + (-7 + 4)²
Distance between RP = √81 + 9
Distance between RP = 9.48 unit (Approx.)
Perimeter of PQR = PQ + QR + RP
Perimeter of PQR = 18 + 9.48 + 9.48
Perimeter of PQR = 36.96
Perimeter of PQR = 37 units (Approx.)
4 out of 5 phones that are recycled, have cracks on the screens. If 30 phones got recycled today, how many probably had cracks on their screens?
Answer:
24
Step-by-step explanation:
The unit rate of 4:5 is 0.8 because 4 divided by 5 is 0.8
0..8 x 30= 24
AJ needs $800. So far, he has saved $290. If his job pays him $12 per hour, write and solve an inequality that can be used to determine the minimum number of hours that he needs to work in order to have enough money for the computer.
Answer:
The minimum number of hours is 43.
Step-by-step explanation:
Total money required = $ 800
Saved money = $ 290
Per hour income = $ 12
Let the number of hours be n.
According to the question
[tex]290 + 12n \geqslant 800\\\\12 n \geqslant 510\\\\n\geqslant 42.5[/tex]
So, the minimum number of hours is 43.
Answer:
800 - 290 = 510. 510 = 12h
Step-by-step explanation:
$800 is the amount he is trying to save.
$290 is the amount he has so far.
$800 - $290 = $510.
$510 is the amount more he needs to earn.
12h.
12 represents the amount he is paid every 1 hour
H represents the hours he works.
Svp aidez moi )
Un père a 42 Ans et sa fille 12 Ans
On veut trouver la réponse à cette question : dans combien d’années l’âge du père sera t-il le triple de celui de sa fille ?
Answer:
Dans 3 ans l’âge du père sera le triple de celui de sa fille
Step-by-step explanation:
X= années qui doivent passer
3(12+X ) = 42 +X
36+ 3X = 42 +X
2X = 6
X = 3
La fille 15 ans
Le père 45 ans (15x3=45)
find the value of x, if the slope of the line joining (4,3) and (x,5) is 2/3?
Answer:
Step-by-step explanation:
here,x1=4,y1=3,x2=x and y2=5
slope=2/3
use formula
slope=y2-y1/x2-x1
2/3=5-3/x-4
2/3=2/x-4(do cross multiplication)
2(x-4)=3*2
2x-8=6
2x=6+8
x=14/2
x=7
Help!!!please!!!!!!!
Answer:
height of the cuboid=480/(12×8)
=480/96
=5 cm
Please help . bdjsjsvxbxjsnsbvzhxjxnxnnxndjdndn
Answer: Line 4
Step-by-step explanation: The slope of this line is angled downward. The others are either angled upward or straight up. The vertical and horizontal lines have 0 in their slopes. So, line 4 is the only line with a negative slope because it has a negative number in the slope. ((x,y), y would be negative.)
Answer:
Hi, there your answer will D.4
Step-by-step explanation:
Also, if you need help finding what slope is negative or positive use this chart to help you
Hope this Helps :)
Solve for x.
5x+2y=13
x+2y=9
Answer:
x = 1
y =
5x + 2y = 13
x + 2y = 9
Add both equations.
6x + 4y = 22
Solve for x.
6x = 22 - 4y
x = 22/6 - 4/6y
step-by-step explanation:
Put x as 22/6 - 4/6y in the second equation and solve for y.
22/6 - 4/6y + 2y = 9
-4/6y + 2y = 9 - 22/6
4/3y = 16/3
y = 16/3 × 3/4
y = 48/12
y = 4
Put y as 4 in the first equation and solve for x.
5x + 2(4) = 13
5x + 8 = 13
5x = 13 - 8
5x = 5
x = 5/5
x = 1
Find the volume of the frustrum of the right circular cone generated by rotating the line y = 3x+1 about the x-axis between x = 0 and x = 2.
Answer:
38π cubic units
Step-by-step explanation:
The volume V = ∫₀²πy²dx
Since y = 3x + 1, dy = 3dx ⇒ dx = dy/3
So, when x = 0, y = 3(0) + 1 = 0 + 1 = 1
when x = 2, y = 3(2) + 1 = 6 + 1 = 7
So, changing the variable to y and the limits of integration from y = 1 to y = 7, we have
V = ∫₀²πy²dx
V = π∫₁⁷y²dy/3
V = π[y³/3]₁⁷/3
V = π[y³]₁⁷/9
V = [7³ - 1³]π/9
V = [343 - 1]π/9
V = 342π/9
V = 38π cubic units
I am in need of help :) please and thank you :):
Answer:
2nd Option:[tex] 6 {x}^{2} + 43x + 55[/tex]Step-by-step explanation:
Given,
Dimensions of the rectangular garden = 2x+11, 3x + 5
Therefore ,
Area of the rectangular garden
= (2x+11) × (3x + 5)
= 3x(2x + 11) + 5(2x + 11)
[tex] = {6x}^{2} + 33x + 10x + 55[/tex]
[tex] = 6 {x}^{2} + 43x + 55(ans)[/tex]
From a circular sheet of a radius 5 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet.
Answer:
2 cm
Step-by-step explanation:
The school is adding one light to its baseball stadium. The light will cover the baseball field and 25° on both sides of the field as shown in the drawing.
Please help I need to finish it due 3:30
=======================================================
Explanation:
Let x be the angle measure of that dark area. That angle x must add to the other angles 25, 90, and 25 to get a full 360 degree rotation.
So,
x+25+90+25 = 360
x+140 = 360
x = 360-140
x = 220
The dark area angle is 220 degrees
This is known as a reflex angle due to it being larger than 180 degrees, but it's less than 360 degrees. In symbolic terms, any reflex angle is one such that 180 < x < 360.
The ages of A, B, C ,D and E are 12, 18 ,13 ,16, and 6 years respectively . Find their average age.
Answer:
average is 13.6
Step-by-step explanation:
solve: 6d = 84
*with the steps*
Answer:
d = 14
Step-by-step explanation:
6d = 84
Divide each side by 6 to isolate d
6d/6 = 84/6
d =14
corresponding points of (-1, 1/2)
Answer:
(-2,0), (-1,1), (0,2)
Step-by-step explanation:
Find the volume of the rectangular pyramid.
6 ft
2 ft
7 ft
Figure not drawn to scale.
Answer:
28
Step-by-step explanation:
V = (1/3)Bh
V = (1/3)(7 ft)(2 ft)(6 ft)
V = 28 ft^3
Which choice is equivalent to the expression below when y2 0?
√y^2 + √16y^3 – 4y√y
Answer:
Option C.
Step-by-step explanation:
We start with the expression:
[tex]\sqrt{y^3} + \sqrt{16*y^3} - 4*y\sqrt{y}[/tex]
where y > 0. (this allow us to have y inside a square root, so we don't mess with complex numbers)
We want to find the equivalent expression to this one.
Here, we can do the next two simplifications:
[tex]\sqrt{16*y^3} = \sqrt{16} \sqrt{y^3} = 4*\sqrt{y^3}[/tex]
And:
[tex]y*\sqrt{y} = \sqrt{y^2} *\sqrt{y} = \sqrt{y^2*y} = \sqrt{y^3}[/tex]
If we apply these two to our initial expression, we can rewrite it as:
[tex]\sqrt{y^3} + \sqrt{16*y^3} - 4*y\sqrt{y}[/tex]
[tex]\sqrt{y^3} + 4*\sqrt{y^3} - 4\sqrt{y^3} = \sqrt{y^3}[/tex]
Here we can use the second simplification again, to rewrite:
[tex]\sqrt{y^3} = y*\sqrt{y}[/tex]
So, concluding, we have:
[tex]\sqrt{y^3} + \sqrt{16*y^3} - 4*y\sqrt{y} = y*\sqrt{y}[/tex]
Then the correct option is C.
Answer:
C:YsqrtY
Step-by-step explanation:
A P E X:L E A R N I N G
HELP ASAP, really really need help for these
Answer:
9 plus 11 plus 12 =
Step-by-step explanation:
x is 22
Nina operate the dog walking service she charges a flat fee for $15 plus $5 per hour. which equation represents this liner relationship.
y= 15x - 5
y= 15x + 5
y= 5x - 15
y= 5x + 15
Answer: I think it’s the first one
Step-by-step explanation:
It says per hour and 15 bucks plus 5 bucks PERhour so you would have to be multiplying I did a question like this long ago hope you get it right
The equation represents this linear relationship for total cost is y= 5x + 15 thus option (D) is correct.
What is a linear function?A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
As per the given,
She charges a flat fee of $15 plus $5 per hour.
For x number of hours, the total cost will be as,
y = 15 + 5x
Hence "y= 5x + 15 is the equation that depicts this linear relationship for total cost".
For more about the linear function,
brainly.com/question/21107621
#SPJ2
14. Jerry charges a fee of $45 plus $15 per hour to rent a motorbike. Write an equation to
calculate rental cost and tell what x and y mean. If you have $120 to spend, how long can you rent
for?
Answer:
5 hours, y= how much money it will cost, and x represents how many hours
Step-by-step explanation:
y= 15x+45
120= 15x+45
-45 -45
75= 15x
75/15×= 5 hours
Use the diagram to answer questions 24 and 25.
What is the measure of angle HJK?
&
What is mHJ?
Answer:
21
Step-by-step explanation:
NEED ASAP
The arithmetic mean of the monthly salaries of two people is $4444. One person earns $3191 per month. What is the monthly salary of the other person?
Step-by-step explanation:
Write what you know
mean is: Sum of all data points / Number of data points
any unknown number we'll call x
so youd write
(x + $3191) / 2 = $4444
Solve for x
let me know if you need further help
explain why n(n-1) must be an even number
n & n - 1 are two consecutive numbers which means one of is surely even and the other one is odd.
_______________________________
Suppose that n is an even number;
So we can right n like this :
n = 2t
Thus :
n - 1 = 2t - 1
_______________________________
n( n - 1 ) = 2t( 2t - 1 ) = 2 ( 2t^2 - t )
= 2 ( q ) = 2q
The number obtained is a multiple of 2, so it is definitely even because all numbers are even multiples of 2.
help me please!! 10 points
Answer:
16
Step-by-step explanation:
number = n
n/2 + 3 = n - 5
n/2 - n = -8
-n/2 = -8
n/2 = 8
n = 16
On the Unit Circle:
If cos x < 0 which Quadrant(s) is the angle?
1. I &IV
2. II & III
3. I &II
4. III & IV
Answer:
Quadrant I and quadrant IV
Step-by-step explanation:
Given that cos x< 0
x < arccos 0
x < 90degres
Since cos s positive in the first and 4th quadrant, hence the angle lies in the Quadrant I and quadrant IV
Someone help me with this please and thank you
Answer:
(47,16)
Step-by-step explanation:
System of Equations Problem.
Solve v(7)+b(6)=394;v(3)+b(12)=612
Solve 6b+7v=394 for b
Add -7v to both sides.
6b+7v+−7v=394+−7v
6b=−7v+394
Divide both sides by 6.
[tex]b=\frac{-7}{6} v+\frac{197}{3}[/tex]
Substitute [tex]b=\frac{-7}{6} v+\frac{197}{3}[/tex] for b in 12b+3v=612
12b+3v=612
[tex]12(\frac{-7}{6} v+\frac{197}{3} )+3v=612[/tex]
Simplify both sides of the equation.
−11v+788=612
Add -788 to both sides.
−11v+788+−788=612+−788
−11v=−176
[tex]\frac{-11v}{-11} =\frac{-176}{-11}[/tex]
v=16
Substitute 16 for v in [tex]b=\frac{-7}{6} v+\frac{197}{3}[/tex]
[tex]b=\frac{-7}{6} v+\frac{197}{3}[/tex]
[tex]b=\frac{-7}{6}(16)+\frac{197}{3}[/tex]
Simplify both sides of the equation.
b=47
Answer:
b=47 and v=16
its me arg i need help
Answer:
x=8
Step-by-step explanation:
so since the whole thing should equal 180, and the right triangle is 90,
(3x+11)+(5x+15)=90 then solve for that
8x+26=90
8x=64
divide both sides by 8
so x=8
then plug in 8 for the xs so c is 3(8)+11 --> 24+11 so m<C=35*
m<D=90*
5(8)+15 40+15 so m<E=55
HELP! Whats the answer?
Answer:
it should be 80
Answer:
4 x 3 = 12, 12 x 1/2 = 6
6(area of one triangle) x 4(there are 4 sides) = 24
4 x 4 = 16(area of bottom)
Add given areas:
24 + 16 = 40
How do I find the measure qrs help????
I’m very confused thanks guys
Answer:
I do not know good luck my bro
Step-by-step explanation:
Answer:
∠QRS = 72°
Step-by-step explanation:
∠R + ∠Q = 180° (supplementary angles)
18x + 12x = 180
30x = 180
x = 6
∠R = 12x = 72° ∠Q = 18x = 108°
A rectangular garden has an area of 144. If the base is 8 ft long, what is the height? 18 ft 36 ft 64 ft 72 ft
The Answer is 18
Hope this helps! :)
(sorry I am a bit late)
Answer:
18 is correct on edge
Two triangular prisms with the same altitude always have the same surface
area.
A. True
B. False
The prisms might have different base areas, which would contribute to overall having different surface areas even if the altitude (aka height) of each prism was the same.