A diagram of a rectangular pool with the diagonal of 50 meters is shown below. Connected to the pool is a square shaped kid’s pool.
What is the area of the kid’s pool in the diagram?
Answers
Answer:
The area of the kids' pool is 900 square meters.
Step-by-step explanation:
The area of the kids' pool is 900 square meters. Only one side length needed to be found because it is a square (all sides are the same). The side length that can be easily found is the one that is shared with the rectangular pool. Using the Pythagorean theorem (a²+b²=c²), that missing side can be calculated. 40² is 1600 and 50² is 2500. To get the missing side ("b"), "c" must be subtracted by "a". 2500-1600=900. Even though that is the answer, the work is not done. The square root of 900 is 30. In the end, the missing side ("b") is 30 square meters. To find the area, you have to multiply 30 by 30. 30 times 30 is 900. So the kids' pool is 900 square meters.
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Related Questions
I need help on this question :/
Answers
Answer: 50-50
Step-by-step explanation:
can I get some help somebody? reward brainiest
Answers
Answer:
Step-by-step explanation:
1). x² - 8x
To convert this expression into a perfect square trinomial,
x² - 2(4x) + 4² = (x - 2)²
Therefore , 4² = 16 should be added.
Option (4) is the answer.
2). x² + 2x = 3
x² + 2(1)(x) = 3
x² + 2(1)(x) + 1 = 3 + 1 [By adding 1 on both the sides]
(x + 1)² = 4
x + 1 = ±2
x = -3, -1
Option (1) is the answer.
3). 3x²- 18x = 21
x² - 6x = 7
x² - 2(3x) = 7
x² - 2(3x) + 3² = 7 + 3²
(x - 3)² = 7 + 9
(x - 3)² = 16
x - 3 = ±4
x = -1, 7
Find the measure of each missing angle explain work
Answers
angle 2: 79 degrees
angle 3: 38 degrees
explanation:
angle 1: 180 - 90 - 38 = 52
angle 2: 180 - 63 - 38 = 79
angle 3: 90 - 52
Mark bought a car for x dollars. One year later the car was 0.85x. What was the percent decrease.
Answers
Answer:
[tex]Let~the~percentage~decrease~be~equal~to~y.\\Then,\\0.85x = x-\frac{y}{100}(x)\\or, 0.85x = x-0.01xy\\or, 0.85x = x(1-0.01y)\\or, 0.85 = 1-0.01y\\or, 0.01y = 1-0.85 = 0.15\\or, y =15\\So, ~the~decrease~of~the~price~is~15%.[/tex]
Alternative method:
[tex]Percentage~decrease = \frac{Initial~Rate-Final~rate}{Initial~Rate}(100) \\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\frac{1-0.85}{1}(100) = 0.15(100)=15[/tex]
Answer:
thr percent decrease is 15%
Step-by-step explanation:
you get 1.00 which represent beginning price u subtract the current price 1.00-0.85 you get0.15 which is 15%
Which expressions are equal?
A. 2(x+3)+2x and 4x+3
B.3(x+2)+4xand 6x+6
C.5x+2(x+4) and 6x+8
D.4+5(x+2) and 5x+14
Answers
Answer:
Step-by-step explanation:
2(x + 3) + 2x
2x + 6 + 2x
4x + 6 and 4x + 3 not equal
3(x + 2) + 4x
3x + 6 + 4x
7x + 6 and 6x + 6 not equal
5x + 2(x + 4)
5x + 2x + 8
7x + 8 and 6x + 8 not equal.
4 + 5(x + 2)
4 + 5x + 10
5x + 14 and 5x + 14 are equal
11 of 14
A train leaves at 14.54 and arrives at its destination at 15.47.
If the train travelled 66 km, what was it's average speed in km/h?
Give your answer rounded to 1 dp.
km/h
Answers
Answer:
74.7 km/h
Step-by-step explanation:
The computation of the average speed is shown below:
As we know that
Speed = Distance ÷ Time
where
Distance = 66 km
And, the time is from 14.54 to 15.47 is 53 minutes
So, the speed is
= 66 km ÷ 53 minutes
= 74.71698 kilometers per hour
= 74.7 km/h
Check
Use the diagram to answer the question.
If m Z1 = 45°, which other angles have a measure of
45°? Check all that apply.
t
22
O 23
a
1
2
m 24
25
3
4
b
>>
26
5
6
Answers
Answer:
<5 and <4
Step-by-step explanation:
Corresponding angles are congruent.
<1=<5
Opposite Interior angles are also congruent.
Answer:
∠4 and ∠5
Step-by-step explanation:
Opposite interior and corresponding angles have the same measurement.
Solve the system by graphing. x + y = 27 and y=x+3. The solution is ( , ).
Answers
Answer:
X=12 Y=15
Step-by-step explanation:
X+Y=27 (1)
Y=X+3 (2)
substitute (2) into (1)
X+X+3=27
2X=24
X=12
substitute X=12 into (2)
Y=12+3
Y=15
The coordinate plane below shows a triangular region at sea between three islands. Each unit on the coordinate plane represents 10 miles
SEARCH REGION
sty
7
А
6
5
4
2
C
-8-7-6-5-4-3-2-191
3 4 5 6 7 8 >
B
-345
B
4
-5
-6
H=10 miles
-81
What are the area and perimeter of the triangular region? Choose all that are correct
Answers
Answer:
Step-by-step explanation:
A point in geometry is a location. It has no size i.e. no width, no length and no depth. A point is shown by a dot. A line is defined as a line of points that extends infinitely in two directions. ... A plane extends infinitely in two dimensions
Please find x and a
Answers
Answer:
x = 36
a = 25
Step-by-step Explanation
By Pythagoras Theorem:
[tex]x = \sqrt{ {39}^{2} - {15}^{2} } \\ \\ x = \sqrt{1,521 - 225} \\ \\ x = \sqrt{1,296} \\ \\ x = 36 \\ \\ a = \sqrt{ {20}^{2} + {15}^{2} } \\ \\ a = \sqrt{400 + 225} \\ \\ a = 25 \sqrt{625} \\ \\ a = 25[/tex]
question is attached
will give brainliest ty !!
Answers
Answer:
A. (2x, 2y)Step-by-step explanation:
Original figure: PQRTS
Dilated figure: P'Q'R'S'T'
Take one of the corresponding sides of the figure and find the scale factor:
SR = 2, S'R' = 4Scale factor is 4/2 = 2The dilation rule as per above is:
(x, y) → (2x, 2y)Correct option is A
PLEASE HELP !!
An advertising company charges $100 each time an advertisement is shown. It costs $200 to create the
advertisement. The cost to create the advertisement and show it x times is given by the function
C(x) = 100x+ 200.
Answers
Answer:
30
Step-by-step explanation:
1 plus 2 is 6 x 2 plus 5
Answer:
3
Step-by-step explanation:
500=100×+200
500-200=100×
300=100×
300/100=×
3=×
Can you help me solve this please
Answers
9514 1404 393
Answer:
180 days
Step-by-step explanation:
The formulas for the volume of a cone and a cylinder are ...
V = πr²h . . . . . volume of a cone
V = (1/3)πr²h . . . . . volume of a cylinder
Comparing these formulas, you can see that the 6' high cone at the top will have the same volume as a cylinder of the same radius that is 2' high. So, we can simplify the problem to finding the volume of a cylinder that is 66+2 = 68' high.
V = π(12 ft)²(68 ft) = 9792π ft³ ≈ 30752.5 ft³
When the corn is used at the rate of 170 ft³/day, it will last ...
(30752.5 ft³)/(170 ft³/day) ≈ 180.96 days
The corn will last 180 days.
_____
Additional comment
In scenarios like this, it is inappropriate to round up. There will be about 162 ft³ of corn left after 180 days, which is not enough for an additional day.
The graph of f(x) = x2 − 3x − 28 is shown. Which of the following describes all solutions for f(x)?
a parabola passing through negative 4 comma zero, zero comma negative 28, and 7 comma zero
(−4, 0), (0, −28), (7, 0)
(−4, 0), (−1, −24), (0, −28), (3, −28), (7, 0)
(x, x2 − 3x − 28) for all real numbers
(x, y) for all real numbers
Answers
Answer:
C. (x, x2 − 3x − 28) for all real numbers
Function graphs are graphs of solution equations for y! In this instance, f(x) = x² -3x -28 is the graph.
Constructing a Function Graph:⇒f(x) = x² − 3x − 28
A group of all points in the plane of the form (x, f(x)) constitutes the diagram of a function f. The graph of f can also be defined as the graph of an equation y = f(x). As a corollary, a function's graph is a subset of an equation's graph.
Solving equation:
⇒f(x) = x² − 3x − 28
⇒f(x) = x² − (7−4)x − 28
⇒f(x) = x² − 7x+4x − 28
⇒f(x) = x(x −7) +4(x −7)
⇒f(x) = (x −7) (x+4)
Please find the attached file.
Find out more about the graph function here:
brainly.com/question/15165011
What is the volume of the rectangle pyramid below 5 m 3 m 3 m
Answers
Answer: 3(5)(1/2)(3) = 45/2
Step-by-step explanation:
Answer:
15 cubic meters
Step-by-step explanation:
V = 1/3 · Area of Base x Height
V = 1/3 ·3² · 5
V = 3 · 5
PLS HELP!! What is the radius of a shape with a circumference of 8.9?
Answers
Answer: 1.42
Step-by-step explanation:
8.
50 in.
Write an expression for the perimeter in simplest radical
form
V8 in.
V8 in.
V18 in.
I a) 2V21 in.
I b) 12v2 in.
I c) 218 + 8V2 in.
d) They aren't like terms
Answers
Answer:
Do you want the perimeter of this shape?
Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively. (2 points)
a
an = 2 • 3n - 1
b
an = 2 • (-3)n - 1
c
an = 2 • 3n
d
an = 2 • (-3)n + 1
Answers
Answer: C is the answer
4x - 12 = 36 *
pls helppppppppppppppppp
Answers
36 + 12 = 48
48/4 = 12
Pls help with the first one thank you
Answers
Answer:
1) 54 is the answer
2) The shape is cube
find the slope
5x -3y = 18
Answers
Answer:
m=5/3
Step-by-step explanation:
Finally, add the areas of triangle A, rectangle B, and triangle C What is the total area of the polygon? Enter your answer in the box. The total area of the polygon is square inches.
Answers
Answer:
there is noo triangle for me to answer this quiestioon
Step-by-step explanation:
Answer:
no pic
Step-by-step explanation:
(2x-3)(2x+7) trinomial
Answers
[tex]4[/tex][tex]x^{2}[/tex][tex]+8x-21[/tex]
Step-by-step explanation:
Malala is following this recipe for bread rolls.
She uses 500 mL of water.
How much of each of the other ingredients does she use?
Recipe: Makes 15 bread rolls
480 g flour
12 g salt
6 g yeast
30 mL oil
600 mL water
Answers
Answer:
500ml water
400 g flour
2 g salt
5 g yeast
25ml oil
Step-by-step explanation:
Complete the table for the given rule
Answers
first y= 10/3
second y=8
does anyone know the answer by any chance?
Answers
Need help will give you the brainliest
Answers
Answer:
8q+2r
since all of the terms are to the first power, you can add them if they have the same term (so there are 5 indivudal q's and 3q so 8q)
Answer:
8q+2r
Step-by-step explanation:
please mark brainliest
If takes 660 metres of fence to enclose a rectangular field. if one side is 30 metres less that twice the other side, find the dimensions of this field (Please help)
Answers
Answer:
210 by 120
Step-by-step explanation:
perimeter=2l+2w
length= 2w-30
width= w
2(2w-30+w) = 660
6w-60= 660
6w= 720
w=120
length= 2*120-30 = 210
I need help I can't find the answer.
Answers
Equation is :10x-31=59
59+31=90
90/10=9
What percent of $44 equals $11
Answers
Hope this helpssss!!!!:)
Answer:
Step-by-step explanation:
11/44 = 1/4 = 0.25 = 25%
25% of $44 = $11