Answer:
Area of five squares = 1289.09 square units
Perimeter = 194.6 units
Step-by-step explanation:
Area of square and perimeter:
First find the length of each square, then find the area of each square.
To find the area of five squares, add all the area of each square.
Side of square1 = 27 units
[tex]\sf Side \ of \ square2 = \dfrac{2}{3}*27=2*9 = 18 \ units\\\\Side \ of\ square3= \dfrac{2}{3}*18=2*6=12 \ units\\\\Side \ of \ square4=\dfrac{2}{3}*12=2*4=8 \ units\\\\Side \ of \ square5=\dfrac{2}{3}*8=\dfrac{16}{3}=5.3 \ units[/tex]
Area of square1 = 27*27 = 729 square units
Area of square2 = 18*18 = 324 square units
Area of square3 = 12*12 = 144 square units
Area of square4 = 8*8 = 64 square units
Area of square5 = 5.3*5.3 = 28.09 square units
Area of five squares = 729 + 324 + 144 + 64 +28.09
= 1289.09 square units
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Perimeter of the composite figure = (27 + 27+27+9) + (18+18+6) +(12+12+4) + (8+8+2.7)+ (5.3+5.3+5.3)
= 90 + 42 + 28 + 18.7 + 15.9
= 194.6 units
Victor left his house at a speed of 18km/hr. When victor was 1/2 km away from his house, his brother Alex left the ouse riding his bike towards Victor at a rate of 24km/hr. How long will it take Alex to catch up to Victor
Answer: it will take Alex approximately 42.86 seconds to catch up to Victor.
Step-1:- To determine the time it will take for Alex to catch up to Victor, we can use the concept of relative speed.
The relative speed = Seed of victor+ Speed of Alex brother
relative speed= 18 km/hr + 24 km/hr = 42 km/hr.
Step-2 :- Since Alex is starting from 1/2 km away from the house, the distance he needs to cover to catch up to Victor is also 1/2 km.
Using the formula: time = distance / speed
therefore time = [tex]\frac{1/2}{42}[/tex] we can calculate the time it will take for Alex to catch up to Victor:
time = [tex]\frac{1}{2} \frac{1}{42}[/tex]/hr = 0.0119 hours or
Now Converting hours into seconds
1 hr = 3600 seconds
0.0119 hr = 0.0119×3600 seconds
Time = 42.86 seconds.
Please Help me! Please complete everything! Kiki’s grandmother gives her two empty piggy banks. Kiki decides to add 1
penny to Piggy Bank 1 each day. She also decides to add 2 pennies to
Piggy Bank 2 each day. Day 1 is completed for you.
(a)Complete this table to show how many pennies are in the piggy banks
for the first five days that Kiki has them
Answer:There are 15 Pennie’s in the piggy banks
Step-by-step explanation:
X=1,2,3,4,5
Y=2,4,6,8,10
Total pennies=15
a ladder is 13 feet long and leans up against he side of a house. the house and the ground form a right angle. The bottom of the ladder is 5 feet from the house.
what is the distance between the ground and the top of the ladder, in feet?
This theorem states that [tex]a^2+b^2=c^2[/tex], where c is the hypotenuse of a triangle and a and b are the legs (the other two sides).
SolutionAs we can see from the image, we are given the lengths of the hypotenuse and one of the legs. Now, we must find x, the length of the other leg.
[tex]a^2+b^2=c^2[/tex]
Plug in the given lengths:
[tex]5^2+b^2=13^2[/tex]
Solve for b:
[tex]b=-12,12[/tex]
Since length cannot be negative, we know that b must be equal to 12.
Answer
x = 12 ft
The Pythagorean Theorem
This theorem states that , where c is the hypotenuse of a triangle and a and b are the legs (the other two sides).
Solution
As we can see from the image, we are given the lengths of the hypotenuse and one of the legs. Now, we must find x, the length of the other leg.
Plug in the given lengths:
Solve for b:
Since length cannot be negative, we know that b must be equal to 12.
Answer
x = 12 ft
This graph represents a linear function
select the equation represented by the graph
Answer: [tex]y = \frac{1}{4} x - 1[/tex]
Step-by-step explanation: In general, know that the equation for a linear graph is [tex]y = mx + b[/tex], where
m = [tex]\frac{rise}{run}[/tex] = the slope of the linear functionb = the y intercept.In our case,
m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{1}{4}[/tex]b = -1Please help ASAP! -Screenshot-
Answer:
y = -2x
Step-by-step explanation:
the line passes through the origin (where both x and y are 0...they both meet).
that rules out it being the X +4 and x - 4 options.
the line goes from top left to bottom right, indicating that the gradient is negative. the gradient value if the number of front of the x in the equation.
negative gradient is a minus sign.
so our answer is y = -2x
An American traveling in Japan wishes to exchange American money for Japanese money. If the exchange rate is $1 = 80 yen, then how many dollars will the traveler need to purchase 10,000yen?
Answer: $125
Step-by-step explanation:
1/80=x/10,000
10,000/80=125
Hope this helped!
Answer:125 yen
Step-by-step explanation:
Ratio and proportion
Ratio=1:80=x:10,000
x represents dollars which is unknown
1/80=x/10,000
Then you cross multiply
80x=10,000
80x/80=10,000/80
x=125
Therefore,$125 will give you 10,000yen
20 points to whoever gets these right!! <3
Answer:
1st one 8/20
Step-by-step explanation: