the area of shape below is 42
The area of the shape is 396 square cm.
What is a rectangle?A rectangle is one of the types of quadrilaterals in which all four angles are right angles or equal to 90 degrees. It is four-sided polygon in which the opposite sides are parallel and equal to each other.
For the given situation,
The diagram shows the polygon.
Let us consider the polygon as two rectangles as opposite sides are parallel and all the angles are right angle as shown below.
The rectangle ABCD has the dimensions length is 10 cm and breadth is 27 cm.
The rectangle DEFG has the dimensions length is 14 cm and breadth is 9 cm.
Thus the area of the polygon is the sum of areas of rectangle ABCD and DEFG.
The formula of area of rectangle, [tex]A =( length)(breadth)[/tex]
Then total area of the shape is
⇒ [tex](27)(10)+(14)(9)[/tex]
⇒ [tex]270+126[/tex]
⇒ [tex]396[/tex]
Hence we can conclude that the area of the shape is 396 square cm.
What is the length of CD in the figure
below?
Answer:
3
Step-by-step explanation:
The courtyard of an apartment complex is represented by the vertices T(4, 1), U(30, 11), and V(17, 36). Each unit represents 1 meter. A bench is located at the centroid of the courtyard. Which ordered pair gives the coordinates of the centroid?
Answer:
[tex](x,y) = (17,16)[/tex]
Step-by-step explanation:
Given
[tex]T(x_1,y_1) = (4, 1)[/tex]
[tex]U(x_2,y_2) = (30, 11)[/tex]
[tex]V(x_3,y_3) = (17, 36)[/tex]
Required
Determine the coordinates of the centroid
The coordinate is calculated as:
[tex](x,y) = (\frac{1}{3}(x_1+x_2+x_3),\frac{1}{3}(y_1+y_2+y_3))[/tex]
Substitute values for x's and y's
[tex](x,y) = (\frac{1}{3}(4+30+17),\frac{1}{3}(1+11+36))[/tex]
[tex](x,y) = (\frac{1}{3}(51),\frac{1}{3}(48))[/tex]
[tex](x,y) = (\frac{51}{3},\frac{48}{3})[/tex]
[tex](x,y) = (17,16)[/tex]
Hence, the coordinates of the centroid is (17,16)
A bouncy ball is dropped such that the height of its first bounce is 5 feet and each
successive bounce is 68% of the previous bounce's height. What would be the height
of the 7th bounce of the ball? Round to the nearest tenth (if necessary).
Answer:
so i think you have to divied it like this 68/5
Step-by-step explanation:
Answer: 0.5
Step-by-step explanation:
3. Let's tell and write the answers as quickly as possible
a) If x = 2y, then x + y in terms of y =
b) If x = 3y, then 2xy in terms of y
c) If a = 2b and b = 3, then a + b
= ...
d) If p = 3q and q = 2, then p-q
Answer:
3y 6y²94Step-by-step explanation:
a) If x = 2y, then x + y
In terms of y
2y + y
3y
b) If x = 3y, then 2xy
In terms of y
2(3y)(y)
6y²
c) If a = 2b and b = 3, then a + b
a + b
2b + b
2(3) + 3
9
d) If p = 3q and q = 2, then p-q
p-q
3q - q
2q
4
please answer this i'll give brainliest
Answer:
I got 'A dog sweats through', but that's what I got. you should try it yourself and make sure to fill in the missing numbers on the number line to help.
Help I give brainliest
Answer:
24
Step-by-step explanation:
A license plate in California consists of 3 letters followed by 4 digits. How many different license plates are possible if the letters cannot be repeated?
Kate had a sum of money,she spent 1/8 of the money on a skirt and the remaining amount on a handbag,the skirt cost $16,how much money did kate have at first?
Answer:
$18.28
Step-by-step explanation:
Step one:
given data
Kate had a sum of money,she spent 1/8 of the money on a skirt and the remaining amount on a handbag
let the total money be x
so mathematically
x-1/8*x= 16
solve for x
x-x/8= 16
8x-x/8= 16
7x/8=16
cross multiply
7x= 8*16
7x=128
divide both sides by 7
x=128/7
x=$18.28
5. Decide whether each equation is true for all, one, or no values of x.
a. 2x + 8 = -3.5x + 19
b. 9(x - 2) = 7x + 5
C. 3(3x + 2) – 2x = 7x + 6
plz help in three mins
Answer: So let’s switch the denominater to 12s 5 x 2 is 10/12. 1/2 is 6/12. 3/4 is 9/12. So 10/12 + 6/12 + 9/12 = 25/12 or 2 1/12 Hope this helps you
Step-by-step explanation:
Answer:
25/12
Step-by-step explanation:
1. Find the common denominator (least common multiple)
12
2. Find each fraction with a denomntor of 12
5/6 to 10/12
1/2 to 6/12
3/4 to 9/12
3. Add all of it
25/12
HELP PLS QUICK ANYONEEEEEEEPSLSPSPSLSLSLS
A card has p meters of lace edging wound on it. Nerys buys n lengths of edging, each x cm long. If Q meters of edging are left on the card, find a formula for Q in terms of P, n and x
Answer:
Q = P - n(x/100)
Step-by-step explanation:
P is the total number of lace edging, n is the number of times the length x is cut from P, and Q is the remnant of the reduction.
So the number of x length is subtracted from P and must be converted to meters (since it is in centimeters) to get Q. That is;
Q = P - n(x/100)
solve 10x-10g(4x-2)=1
Answer:
Below
Step-by-step explanation:
x=[tex]\frac{1-20g}{10(1-4g)}[/tex]
Answer:
using BODMAS=(4x-2)=(2x)
10x-10g(2x)=
10x=10+(2x)=
10x=20x
divide both sides by 10
10x/10=20x/10
x=20/10
x=2
Solve for W MUST SHOW WORK
-4 (w + 1 ) = -24
THANKS!!! will give brainlyist btw
Answer:
w=5
Step-by-step explanation:
Solve for W by getting it by itself.
1. Divide both sides by -4.
(w + 1)= -24/-4
2. Simplify
(w + 1)= 6
3. Subtract 1 from both sides.
w= 6-1
w= 5
There were 1 200 people in a
village. If 40% of them were adults.
how many children were there?
A. 480
B. 720
C.800
D 1 160
Answer:
A. 480
Step-by-step explanation:
ok so first you multiply 1200 by 40 percent
we gonna change 40 percent to a decimal which will be 0.40
then multiply which will get 480
Answer:
720 children
Step-by-step explanation:
40% were adults
So 60% were children
60% of 1200 is 720 children (0.60 x 1200)
find the value of y when x equals -1.
8x - 2y =10
Answer:
y = - 9
Step-by-step explanation:
Substitute in -1 for x
8(-1) - 2y = 10
-8 - 2y = 10
Subtract -8 from both sides
-8 - (-8) cancels out to 0
10 - (-8) = 18
We are left with:
-2y = 18
Divide by -2 on both sides.
-2y/-2 = y
18/-2 = -9
y = -9
Divide 2,736 by 479 rounded:
Answer:
5.711
round to 8
Step-by-step explanation:
Part D
Now group the terms in the expression in part C using the Associative Property.
Answer:
70 + (-30) + 2 + (-9) + 0.3 + (-0.1) = [70 + (-30)] + [2 + (-9)] + [0.3 + (-0.1)] explanation:
Exact answer
yooo my ban is up!!!! 5+37=4-3x
Answer:
x = -38/3
Step-by-step explanation:
lol
Simplify 5 + 37 = 42
42 = 4 - 3x
Subtract 4 from both sides
42 - 4 = -3x
Simplify 42 - 4 = 38
38 = -3x
-38/3 = x
MAY I PLEASE HAVE BRAINLIEST!!???
−8 (1 + x) + 7x PLEASE HELP
Answer:
-8-x or -x-8 or x=-8
Step-by-step explanation:
Distribute the -8 to the (1+x)
-8-8x+7x
then add the -8x+7x
-8-x or -x-8
and if you want to solve for x
x=-8
2/5 + m = 5/6 Im stuck on that please help.
Answer:
m = 13/30
Step-by-step explanation:
2/5 + m = 5/6
m + 2/5 = 5/6
m + 2/5 - 2/5 = 5/6 - 2/5
m = 13/30
Answer:
M = 13/30
Step-by-step explanation:
2/5 + m = 5/6
Subtract 2/5 from both sides
m = 13/30
Hope its right
911+911+666+21−420−69 what this equal
Answer:
2020
Step-by-step explanation:
Answer:
2020
Step-by-step explanation:
Calculator
2. What is the equation of the line with a y-intercept of (0,8) and a slope of
-2? *
A. y = 8x + 2
B. y = -8x-2
C. y = 2x + 8
D. y = -2x +8
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2 and c = 8, then
y = - 2x + 8 → C
Answer:
Step-by-step explanation:
apply the distributive property to write an equivalent expression 21b+28c
Answer:
7(3b + 4c)
Step-by-step explanation: Find the GCF then factor it out from the expression.
It takes April 7 3/8 to get to her grandparents house so far she has driven 3 5/6 hours what is the best estimate of how much longer she has driven
Answer:
Time remain = 85/24 hours
Step-by-step explanation:
Given:
Total time taken by April = [tex]7\frac{3}{8}[/tex] hours
Time she already drive = [tex]3\frac{5}{6}[/tex] hours
Find:
Time remain
Computation:
Time remain = Total time taken by April - Time she already drive
Time remain = [tex]7\frac{3}{8}[/tex] hours - [tex]3\frac{5}{6}[/tex] hours
Time remain = 85/24 hours
In which direction is the moon revolving around the Earth?
A. Right
B. Up
C. Left
D. Down
Answer:
d
Step-by-step explanation:
Let's find the slope of the following lines!
Answer:
The slope is [tex] \frac{3}{4} [/tex]
Step-by-step explanation:
Slope = [tex] \frac{rise}{run} [/tex]
(I heard you saying that u had more lol)
The air force reports that the distribution of heights of male pilots is approximately normal, with a mean of 72.6 inches and a standard deviation of 2.7 inches. Part A: A male pilot whose height is 74.2 inches is at what percentile? Mathematically explain your reasoning and justify your work. (5 points) Part B: Air force fighter jets can accommodate heights of soldiers between 70 inches and 78 inches without compromising safety. Anyone with a height outside that interval cannot fly the fighter jets. Describe what this interval looks like if displayed visually. What percent of male pilots are unable to fly according to this standard? Show your work and mathematically justify your reasoning. (5 points)
Answer:
Step-by-step explanation:
Given that X - the distribution of heights of male pilots is approximately normal, with a mean of 72.6 inches and a standard deviation of 2.7 inches.
Height of male pilot = 74.2 inches
We have to find the percentile
X = 74.2
Corresponding Z score = 74.2-72.6 = 1.6
P(X<174.2) = P(Z<1.6) = 0.5-0.4452=0.0548=5.48%
i.e. only 5% are below him in height.
Thus the malepilot is in 5th percentile.
1. The height of a storage container for an artwork is 3 feet more than 3 times its
width. The height of the container is 18 feet. The following equation can be used to
find w, the width of the container.
3w + 3 = 18
What is the width of the container?
A. 3 ft
B.5 ft
C. 7 ft
D. 57 ft
HELP ME PLEASE! I Don't UNDERSTAND!!
Answer:
4.123
Step-by-step explanation:
Answer: 4.12
"you should rlly get to know this"
btw ^2 means to the power to 2
Step-by-step explanation:
a^2 + b^2 = c^2
in this case, u don't have "a"
the slanted side is "c"
a^2 + 8^2 = 9^2
a^2 + 64 = 81
a^2 = 81 - 64
a^2 = 17
___
a = _/ 17
a = 4.12