A rectangular gate is made using 6 straight pieces of steel.
5 m
12 m
The weight of the steel is 2.5 kg per metre.
+
Work out the total weight of the steel gate.
Pythagoras' Theorem - A Simple Approach View One Minute Version
Overview
11.
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Answers
Answer:
Total weight is 150 kg
Step-by-step explanation:
Firstly, we need the weight of the diagonal
To get this, we shall use the Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the squares of the two other sides
The diagonals stand for the hypotenuse
Thus, we have that;
d^2 = 5^2 + 12^2
d^2 = 25 + 144
d^2 = 169
d^2 = 13^2
d = 13
The 6 sides technically includes the whole rectangle sides, then the two diagonals
The total length here is;
2(5 + 12 + 13) = 60 meters
Steel weight is 2.5 kg per meter
Weight of 60 m will be ;
60 * 2.5 = 150 kg
Related Questions
TIMED URGENT! REALLY APPRECIATE SOME HELP! BRAINLIEST!
Calculate the slope of the line passing through the points (-1, -5) and (-9, -1)
a) undefined
b) 0
c) -0.5
d) -2
Answers
Explanation: y2-y1/x2-x1!
Answer:
C
Step-by-step explanation:
(y2-y1)/(x2-x1) = slope
y2-y1 = (-1)-(-5) = 4
x2-x1 = (-9)-(-1) = -8
slope = 4/(-8) = -0.5
(-5, -3); slope = -3/5
turn into y intercept equation please
Answers
y-y1=m(x-x1)
with your points it would give you the equation
y+3=-3/5(x+5)
then solve it so that it becomes in the form y=mx+b
in your case your answer would be y=-3/5x + 0
hope this helps!
Explain what the point (20,160) represents in the context of the situation? Check all boxes that apply A. 160 shirts cost $20
B. 20 shirts cost $160
C. 20,160 shirts cost money
D. The total cost of shirts is 20,160
Answers
Answer:
option B is correct option.
Step-by-step explanation:
Explain what the point (20,160) represents in the context of the situation? Check all boxes that apply
Looking at the graph we come to know that 20 shirts cost $160 because x -axis represent number of shirts and y-axis represent Total Cost
So, the point(20,160) means x = 20 and y=160
We have 20 shirts and the cost is $160
So, option B is correct option.
Please help with questions will give brainlsest
Answers
Answer: 1. x=3 and y=7
2. x=10 and y=35
3. x=-2/3 y=-2/3 (fraction)
Step-by-step explanation:
HELP ME PLEASEEEE I NEED IT ASAP
Answers
Answer:
X = 6
Step-by-step explanation:
Am tired 2 show the work
Answer:
=-6
Step-by-step explanation:
Move all terms containing x to the left side of the equation.
x−4=−10
Move all terms not containing x to the right side of the equation.
Add 4 to both sides of the equation.
x=−10+4
Add −10 and 4
X=-6
Find the area of the shape below. All measurements are in miles.
6
8
1
15.23
1
1
Answers
Help me plzzzz, thanks If you do
Answers
hope it's helpful ❤❤❤❤
THANK YOU.
Marcy wants to paint the sides of the wooden storage chest shown below gray except the white lid. What is the surface area?
Answers
Answer:
Surface area = 2,160 in²
Step-by-step explanation:
Given:
Length of box = 15 in
Width of box = 30 in
Height of box = 24 in
Find:
Surface area
Computation:
Surface area = 2h[l+b]
Surface area = 2(24)[30 + 15]
Surface area = 48 x 45
Surface area = 2,160 in²
37x -58 = 132 + 97x
Please help solve for x
Answers
Answer:
x = -19/6
Step-by-step explanation:
37x - 58 = 132 + 97x
-60x = 190
x = -19/6
Answer: -3.167 or -19/6
Step-by-step explanation:
x = -19/6 = -3.167
Solve each equation by factoring.
1) 7x² + 63x = -126
Answers
7(x^2 + 9x + 18) = 0
7(x + 3)(x + 6) = 0
X = -3 X= -6
I need help multiplying fraction s what is 1/2 * 1/2 and can you add a explanation
Answers
Answer:
2 1/2
Step-by-step explanation:
since it two halves multiplied, it'd be 2 1/2. you can also mulitpy decimals to get ur answer
breainliest pls
5 - 9.5 = 5 + __
^^ Enter a number in the space provided to make the equation true.
Answers
The complete equation,
5 - 9.5 = 5 - 9.5.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given:
An equation,
5 - 9.5 = 5 + __.
Let the missing number is x.
Simplifying,
-4.5 = 5 + x
x = -9.5
Therefore, the missing term is x = -9.5.
To learn more about the equation;
https://brainly.com/question/12788590
#SPJ2
Alejandro makes donations in the amount of $100 every December to
5 of his favorite charities. He pays for the donations by check. What is the
change in his checking account balance after making these donations?
Answers
Answer:
the balance will decreases by 500
-500 represents his account balance
Step-by-step explanation:
B
C
What is the volume of the following rectangular prism
Answers
Answer:
8 1/8 or 8.125
Step-by-step explanation:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
since we only have length and width we just multiply that
16 1/4 x 1/2 = 8 1/8 or 8.125
so the volume is 8 1/8 0r 8.125
The path of a diver diving off a 10-foot platform can be represented by the function h(x) = - 0.5(x^2 - 4x - 21) where h is the diver's height above water and x is the horizontal distance from the platform (in feet).
What does the positive zero represent?
Answers
Answer:
x = -3 and 7
Step-by-step explanation:
Given the path of a diver expressed as;
h(x) = - 0.5(x^2 - 4x - 21)
The positive zero occur at when h(x) = 0
Substitue
0 = - 0.5(x^2 - 4x - 21)
-0.5x^2 + 2x + 10.5 = 0
Multiply through by -10
5x^2 - 20x - 105 = 0
x^2 - 4x - 21 = 0
x^2 - 7x+3x - 21 = 0
x(x-7)+3(x-7) = 0
(x+3)(x-7) = 0
x = -3 and 7
Hence the positive zero displacement occurs at x = -3 and 7
A jar is filled with pennies, nickels, and dimes. The probability of picking a penny is 1/4, and the probability of picking a dime is 1/3. What is the probability of picking a nickel? Write your answer as a decimal rounded to the hundredths place.
Answers
Answer:
What Are The Options?
Step-by-step explanation:
Answer:
0.42
Step-by-step explanation:
given:
P (penny) = 1/4
P (dime) = 1/3
since the only other possibility is to pick a nickel, hence
P (nickel)
= 1 - 1/4 - 1/3
= 5/12
= 0.4166667
= 0.42 (nearest hundredth)
The graph shows your distance from home on a day trip to an apple farm which is 125
miles away. Which statement is true about your day trip?
Distand
(miles
Answers
Answer:
It took you 3 hours to reach the apple farm.
Step-by-step explanation:
Find the area and perimeter of the shaded region. Stuck on this one can someone help me
Answers
Answer:
perimeter-
perimeter outer rectangle = 2 (l+b)
=2×8+9
= 2×17
2×17 =34 cm sq.
perimeter of inner rectangle = 2 (l+b)
= 2×5+3
=2× 8
= 16 cm sq.
perimeter of shaded portion= 34 - 16
= 18 cm sq.
area-
area of inner rectangle =l×b
l×b = 3×5
3×5=15
15 cm sq.
area of outer rectangle =l×b
l×b= 9×8
9×8= 72
72 cm sq.
area of shaded portion = 72 -15 =57 cm sq.
hey there! In second method i have done first area of inner rectangle but you have to do first area of outer rectangle...
hope it helps you....
Answer:
Let A1 = be the large rectangle and A2 the small rectangle
=> Area A1: S1 = a1.b1 => S1 = 8 x 9 = 72m2
=> Area A2: S2 = a2.b2 => S2 = 3 x 5 = 15 m2
=> Area of the remaining surrounding square: S1-S2 = 72-15 = 67m2
=> Perimeter A1: P1 = 2 (a1 + b1) = 2 (9 + 8) = 34m
=> Perimeter A2: P2 = 2 (a2 + b2) = 2 (3 + 5) = 16m
=> Perimeter of the surrounding square: P1-P2 = 34-16 = 18m
Step-by-step explanation:
Andy got 28 out of 50 problems correct. What percentage did Andy get correct?
Answers
Answer: the answer is 56%
what is 4.17 x 10 -5 =
Answers
Answer: 36.7
Step-by-step explanation:
4.17 x 10 -5 =
41.7-5
=36.7
9.8-7.5 how do I solve for this
Answers
Answer:
Its simple the anwser is 2.3
Step-by-step explanation:
9.8
-7.5=
2.3
what is the answer for y=__x+__
Answers
Answer:
y=1/-4x+4
Step-by-step explanation:
hey
Step-by-step explanation:
Slope (x) is rise/run. From one intersecting point to the next, we find it is moving 4 y down and 1 x over. Using this we conclude the slope is -4/1x (or -4x)
The second number in the system is b, or y-intercept. The line intercepts at 4y. If we combine these together, the outcome is y = -4x + 4
PQ=RQ
b
140°
P
R
b = [? ]°
pls help me besties
Answers
Answer:
b=40 I just took this quiz
Answer:b=40 a=100
Step-by-step explanato a line is 180 degrees, the outside of the triangle is 140 degrees so the inside must be 40 to make 180 and a is also 40 because the triangles sides are the same
to find a we now know that both angles on the bottom 40+40 will add up to 80 and to make a complete triangle we need 180 so the measure of a is 100 degrees
a=100
b=40
what is 4.0 x 10 by the 2nd power
Answers
Have a wonderful day
Just 2 more! Ik we got this! Just please, it’s due at 11pm!
Answers
Answer:
-4
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
Charles buys 20 packs of pens.
There are 15 pens in each pack.
Each pack costs £2.50.
Charles sells each pen for 65p but he only manages to sell į of the pens.
How much profit did he make?
Answers
Answer:
their will be at least $159
JUST ONE MORE PLEASE PLEASE! IF YOU DUNNO DONT ANWSER I NEED THIS CORRECT OR IM OGNNA BE GETTING A F
Answers
Answer:
8
Step-by-step explanation:
-3 + 11 = 8
blank = 8
[tex]\huge\purple {\mid {\fbox {\tt {Solution!}}\mid}}[/tex]
[tex] \longmapsto- 3 + 11 \\ \longmapsto8[/tex]
Tracy began her career making an annual salary of $26,262, and after each year, she has received a 4% raise. if she has been working for 12 years, which of these expressions can be used to calculate how many dollars she made in total during this time?
Answers
Answer:
D.
Step-by-step explanation:
You can check with this equation 26262(1.04)^12. gets you the same answer as D.
What is the approximate diameter of a sphere with a volume of 268 cm3?
A. 4 cm
B. 8 cm
C. 12 cm
D. 16 cm
Answers
Answer:
B. 8cm
Step-by-step explanation:
radius = 4cm
volume = 4/3 π r³
volume = 4/3 *3.14 *4³ (π = 3.14)
volume = 268cm³
hope it is help you
I need to know what the answer is :)