Two identical squares of sides 17 cm overlap to form a rectangle as shown below. The shaded part is the overlapping region
Answers
To start with, we are told that the two shapes are squares. This means that they have the same length and breadth. From the diagram, we can see that one of the sides of the squares is 17 cm. This means that the squares are a square of 17cm in length.
If the original length is 17, and the overlapped length of the figure we have is 30 cm. Then we can say that since there exist 2 squares, 30/2 = 15 cm. If the overlapped length is 15 cm, this means that the part that is shaded is 2 cm in length.
Applying area of a rectangle formula
length * breadth = 17 * 2 = 24 cm²to learn more about area of shaded regions, see here https://brainly.com/question/10090807
Related Questions
Please write a rule for this table BEGGING
Answers
Answer:
y = 3x = 1
Step-by-step explanation:
Answer:
y = 3x - 1
Step-by-step explanation:
Check. Plug in the given x, and see if the result is the given y:
y = 3x - 1
When: (x = 8 , y = 23)
23 = 3(8) - 1
23 = (3 * 8) - 1
23 = (24) - 1
23 = 23 (True).
When: (x = 2 , y = 5)
5 = 3(2) - 1
5 = (3 * 2) - 1
5 = 6 - 1
5 = 5 (True)
When: (x = -3 , y = -10)
-10 = 3(-3) - 1
-10 = (3 * -3) - 1
-10 = (-9) - 1
-10 = -10 (True).
When (x = 9 , y = 26)
26 = 3(9) - 1
26 = (3 * 9) - 1
26 = (27) - 1
26 = 26 (True).
When you graph, simply graph the given points (bolded) onto the graph.
1. Rosie orders dessert at the cafe. The total bill is $50. She tips the waiter 10%.
How much money does the waiter get?
Answers
Answer:
5
Step-by-step explanation:
this means it'll be $55
An ice cream store has 31 flavors of ice cream and 10 toppings. A regular sundae has one flavor of ice cream, one topping, and comes with or without whipped cream. How many different ice cream sundaes can be ordered?
Answers
Answer:
610
Step-by-step explanation:
31 x 10= different flavour and topping combination
x2 = for the whipped cream different option
What is 7.125 simplified as a fraction?
Answers
Answer: 7 [tex]\frac{1}{8}[/tex] or [tex]\frac{57}{8}[/tex]
Step-by-step explanation:
0.125 = 1/8
A half circle is joined to an equilateral triangle with side lengths of 12 units.
What is the perimeter of the resulting shape? Type your answer in the box below.
Answers
Answer:
P = 12 pi units + 24 units.
Step-by-step explanation:
All sides of an equilateral triangle are of the same length. Here that length is 12 units. We take a circle of diameter 12 units and cut it in half through its center. Finally, we join the triangle (remembering that all of the side lengths are 12 units) to the half circle of diameter 12 units.
The half circle portion of the resulting shape has circumference 2(pi)(12 units) divided by 2, or 12 pi units. This is half the formula C = 2(pi)(r). The two non-attached sides of the triangle have a total length of 24 units.
Thus, the perimeter of the resulting figure is P = 12 pi units + 24 units.
HELP ASPAP!! ANSWER CORRECLTY
Answers
Answer:
17
Step-by-step explanation:
Answer:
plot 17
Step-by-step explanation:
12-(-5) = 12+5 = 17
alex is running in a clockwise direction around a circular track with radius 60 yards. he runs for 20 minutes at a speed of 4 yards per second. find the shortest distance between their starting point and their ending point measured along the track
Answers
Answer:
100.9 yards
Step-by-step explanation:
One circuit of the track is a distance of ...
C = 2πr = 2π(60 yd) = 120π yd.
At Alex's running rate, the distance covered in 20 minutes is ...
(4 yd/s)(20 min)(60 s/min) = 4800 yd
The number of circuits will be ...
(4800 yd)/(120π yd/circuit) = 40/π circuits ≈ 12.7324 circuits
The last of Alex's laps is more than half-completed, so the shortest distance to his starting point is 13 -12.7324 = 0.2676 circuits,
That distance is (0.2676 circuits)×(120π yd/circuit) ≈ 100.88 yd
The shortest distance along the track to Alex's starting point is about 100.9 yards.
_____
Additional comment
The exact distance is 120(13π-40) yards. The distance will vary according to your approximation for pi. If you use 3.14, this is about 98.4 yards.
Juan texts 20 messages in 5 minutes. At this rate how many text messages can he send in 30 minutes
Answers
The answer 120 MESSAGES
Messages/mins = 20/5=messages/30
Messages = (30x20)/5 = 120
Final answer : 120 messages
Find the factors of f(x) given that x = −3 is a zero.
f(x) = x^3 + 12x^2 + 47x + 60
(x + 3)(x + 4)(x − 5)
(x + 3)(x + 4)(x + 5)
(x − 3)(x + 5)(x + 6)
(x + 3)(x + 3)(x − 3)
Answers
[tex]x^3+12x^2+47x+60\\\\=x^3+3x^2 +9x^2+27x+20x+60\\\\=x^2(x+3) + 9x(x+3)+20(x+3)\\\\=(x+3)(x^2+9x+20)\\\\=(x+3)(x^2 + 4x +5x +20)\\\\=(x+3)[x(x+4)+5(x+4)]\\\\=(x+3)(x+4)(x+5)[/tex]
Please don’t answer just for point! I really need help~
Answers
help please i’m doing homework and i can’t fail this lesson.
Answers
Answer: y = 3x +1
Step-by-step explanation:
Solve this system of equations using the Substitution method. Don't forget to write your final answer as a coordinate point.
3x + y = -2
y = 2x + 3
Answers
Answer:
(x, y) = (-1, 1)
Step-by-step explanation:
Please quickly answer number 17&18 I will give brainliest
Answers
Answer: 17) 150°C 18) 17 minutes
Step-by-step explanation:
x represents time in minutes and y represents temperature in Celsius
17) y=10x+30
y=10(12)+30
y=120+30
y=150 - Therefore, the water temperature will be 150°C after 12 minutes
18) 200=10x+30
10x+30=200
10x+30-30=200-30
10x=170
x=17 - Therefore, the water temperature will reach 200°C after 17 minutes
What is the following product? Assume x greater-than-or-equal-to 0 (4 x StartRoot 5 x squared EndRoot 2 x squared StartRoot 6 EndRoot) squared.
Answers
The simplified expression for the product [tex](4x\sqrt{5x^2} )(2x^2\sqrt{6})[/tex] is:
[tex]8\sqrt{30} x^4[/tex]
The given expression is:
[tex](4x\sqrt{5x^2} )(2x^2\sqrt{6})[/tex]
Note that :
[tex]\sqrt{5x^2} = x\sqrt{5}[/tex]
The given expression can then be re-written as:
[tex](4x^2\sqrt{5} )(2x^2\sqrt{6})[/tex]
Multiplying like terms together:
[tex]8x^4\sqrt{30}[/tex]
Finally, the resulting expression can be written as:
[tex]8\sqrt{30} x^4[/tex]
Learn more here: https://brainly.com/question/25913492
Answer:
D 104 x Superscript 4 + 16 x Superscript 4 Baseline StartRoot 30 EndRoot
Step-by-step explanation:
Edg 2022
please help! i need for this to be done.
Solve.
t+7.45=1334
Enter your answer as either a decimal or a mixed number in simplest form in the box.
t =
Answers
Answer:
t = 6.3
Step-by-step explanation:
t + 7.45 = 13 [tex]\frac{3}{4}[/tex] = 13.75 ( subtract 7.45 from both sides )
t = 6.3
In the circle represented by the equation (x-4)2+(y-3)2=25, the diameter is
Answers
The standard form of a quadratic equation is given as y=ax^2+bx+c and vertex form is given as y=a(x−h)^2+k. Write a formula that relates the values of a,b, and c in y=ax^2+bx+c to the values of a,h, and k in y=a(x−h)^2+k. For instance, h=ax+b would be a formula that relates h to a and b.
Answers
Answers:
[tex]h = -\frac{b}{2a}\\\\k = \frac{-b^2+4ac}{4a}\\\\[/tex]
where 'a' cannot be zero.
=========================================================
Explanation:
The vertex is (h,k)
The x coordinate of the vertex is h which is found through this formula
[tex]x = -\frac{b}{2a}[/tex]
For example, if we had the quadratic [tex]y = 3x^2-6x+5[/tex], then we'll plug in a = 3 and b = -6 to get: [tex]h = -\frac{b}{2a} = -\frac{-6}{2*3} = 1[/tex]
------------
To find the value of k, we plug that h value into the original standard form of the quadratic and simplify.
[tex]y = ax^2+bx+c\\\\k = ah^2+bh+c\\\\k = a\left(\frac{-b}{2a}\right)^2+b\left(\frac{-b}{2a}\right)+c\\\\k = a*\frac{b^2}{4a^2}+\frac{-b^2}{2a}+c\\\\k = \frac{b^2}{4a}+\frac{-b^2}{2a}+c\\\\[/tex]
[tex]k = \frac{b^2}{4a}+\frac{-b^2}{2a}*\frac{2}{2}+c*\frac{4a}{4a}\\\\k = \frac{b^2}{4a}+\frac{-2b^2}{4a}+\frac{4ac}{4a}\\\\k = \frac{b^2-2b^2+4ac}{4a}\\\\k = \frac{-b^2+4ac}{4a}\\\\[/tex]
It's interesting how we end up with the numerator of [tex]-b^2+4ac[/tex] which is similar to [tex]b^2-4ac[/tex] found under the square root in the quadratic formula. There are other ways to express that formula above. We need [tex]a \ne 0[/tex] to avoid dividing by zero. The values of b and c are allowed to be zero.
Answer:
The minimum is at (1,-8). In the equation y = (x – 1)2 – 8, h = 1 and c = 8. So, the x-coordinate of the minimum is the same as the h-value in the equation, and the y-value of the minimum is the opposite of the c-value.
Step-by-step explanation:
plato
Harry had $32. He spent all the money buying three notebooks for x dollars each and four packs of index cards for y dollars each. If Harry had bought five notebooks and five packs of index cards, he would have run short by $18. The following system of equations models this scenario: 3x 4y = 32 5x 5y = 50 Use the system of equations to solve for x and y. (8, 2) (1, 5) (2, 8) (5, 1).
Answers
Answer:
x = notebooks
y = indexboks
3x+4y=32 ( here is spent all money so I add 32 here )
5x+5y=50
by elemination method
3x+4y=32×5
5x+5y=50×4 ( here I'm going to eliminate y )
15 x+20y= 160
20x+20y= 200
- - = -
____________
-5x = -40
x = - 40 / -5
x = 8
here - × - = + so iam taking positive 8
now substitute the value of x in any equation
3×8+4y = 32
24 + 4y = 32
4y = 32-24
y = 8 / 4
y = 2
CHECKING
SUBSTITUTE BOTH VALUES IN ANY EQUATION
5×8+5×2 = 50
40 + 10 = 50
50 = 50
I SUBSTITUTE IN 2ND EQUATION
Answer:
(8,2)
Step-by-step explanation:
Given that:
3x + 4y = 32 --------- eq1
5x + 5y = 50 --------- eq2
From taking 5 common from eq2:
x + y = 10
Or it can also be written as:
x = 10 - y ----------eq3
Now put this value of x in eq1
3(10 - y) + 4y = 32
By simplifying:
30 - 3y +4y= 32
30 +y = 32
Subtracting 30 from both sides:
y = 32 - 30
y = 2
Putting value of y in eq 3
x = 10 - 2
x = 8
The digit in the hundreds place is 4 less then 5.
Answers
Yes?? i dont understand the question that much
Step-by-step explanation:
Answer this please!!!
Answers
Answer:
$40
Step-by-step explanation:
What is the length of DF?
F
За
IT
E
G
a +6
D
DF =
Answers
Answer:
18
Step-by-step explanation:
Triangles FEG and DEG are congruent by SAS, so DG = FG.
a+6 = 3a
6 = 2a
3 = a
3a = 3·3 = 9 = FG = DG
DF = 9+9 = 18
how to graph transformations of quadratic functions
Answers
Answer:
Shift "h" units to the right, "k" units up, and reflect over the x or y axis when needed.
Step-by-step explanation:
1) I want to talk about reflections first.
Reflections across the x-axis --> [tex]y = ax^2[/tex], a is the coefficient. if a is negative, then the equation should be reflected across the x-axis. This is known as a vertical reflection. Reflections across the y-axis --> [tex]y=a(bx)^2[/tex], b is the coefficient. If b is negative, then reflect the equation over the y-axis. There are cases where the reflection across the y-axis does not change anything. But, let's say its [tex]y=(x-3)^2[/tex]... the reflection across the y-axis is different (that equation is: [tex]y=(-x-3)^2[/tex] )2) Rigid transformations
Horizontal transformations (to the left or right): [tex]y=a(bx-h)^2[/tex], factor out b from "bx-h" and whatever h equals is the units to the right. If h is a negative number, then you move to the left. Vertical transformations (up and down): [tex]y = a(bx-h)^2+k[/tex]... k is just the units up... if k is negative then we move it down.Example (check image for visual)
We transform [tex]y = x^2[/tex] to [tex]y = -(-x-3)^2+3[/tex] , you move right 3, then reflect across the x-axis, then reflect across y-axis, then move 3 up.
--------------------------------------------------------------------------------------------------------------
Note: In the image, the red line is the original function, the blue one is the transformed function. See if you can follow along with the verbal instructions I gave above.
Oceanside Bike Rental Shop charges a 13 dollars fixed fee plus 7 dollars an hour for
renting a bike. Keith paid 69 dollars to rent a bike. How many hours did he pay to have
the bike checked out? Let h = number of hours bike was checked out
Answers
Answer:
8 hours
Step-by-step explanation:
69-13=56
56/7=8
13+7h=69
The length of a certain rectangular prism is 3 less than twice the width. The height of the same prism is 4 more than
the width. Write an expression to represent the volume of the rectangular prism in terms of width (w).
V=2w? + 5w-12
V= -2w3 + 11w2 + 12w
V=2w3 +5w? - 12w
В.
С.
D
V=4w + 1
Answers
Answer:
it is c
Step-by-step explanation:
me big brain
find the domain of f(x). f(x) = √9x+36
Answers
Answer:
The domain in interval notation is [-4,∝) or set build: {x|x[tex]\geq[/tex]
Step-by-step explanation:
I'm assuming the 9x and the 36 are in the root
[tex]\sqrt{9x+36}[/tex]
first we must solve for x
[tex]{9x+36}\geq 0[/tex]
substract 36 to both sides
[tex]{9x}\geq -36[/tex]
divide by 9 to both sides
[tex]\frac{9x}{9} }\geq \frac{-36}{9}[/tex]
simplify left side
[tex]x\geq \frac{-36}{9}[/tex]
simplfy right side
[tex]x\geq -4[/tex]
The domain in interval notation is [-4,∝) or set build: {x|x[tex]\geq[/tex]-4}
A fast food place was selling 5 boxes of chicken nuggets for 25.50 a competing restaurant was selling 1 box of chicken strips for 5.50 which is better priced per box, 5 boxes chicken nuggets for 25.50 or 1 box of chicken strips for 5.50
Answers
Answer:
The chicken which is sold for 5 boxes for 25.50 is better priced.
Step-by-step explanation:
If you buy five boxes of the chicken from the place where it is 5.50 a box, buying five will be 27.50, which costs more than the place with the 25.50 price for five boxes.
h(x) = x^2 - 5x +7
Find h(-5)
Answers
Answer:
57
Step-by-step explanation:
h(-5) = (-5)^2 - 5(-5) + 7
h(-5) = 25 + 25 +7
h(-5) = 57
Answer:
[tex]\bold{h(-5)=57}[/tex]
Step-by-step explanation:
Substitute [tex]-5[/tex] for everywhere there is [tex]x[/tex]
[tex]h(x) = x^2 - 5x +7\\=-5^2 - 5(-5) +7[/tex]
[tex]-5^2 - 5(-5) +7[/tex]
PEMDAS order of operations
Parenthesis
[tex]\bold{-5\times(-5)}\\=25[/tex]
[tex]-5^2+25 +7[/tex]
Exponents
[tex]\bold{-5^2}\\=-5\times-5\\=25[/tex]
[tex]25+25 +7[/tex]
Addition
[tex]25+25+7\\=50+7\\=57[/tex]
Therefore, [tex]\bold{h(-5)=57}[/tex].
Which expressions are equivalent to -56z+28?
A.) 1/2⋅(-28z+14)
B.)(-1.4z+0.7) x 40
C.) (14-7z)⋅(-4)
D.)(8z−4)(−7)
E.)−2(−28z−14)
PLEASE HELP THANK YOU!!!
Answers
f (x) = 3x - 2 - g (x) = 2x + 1
Answers
Answer:
Step-by-step explanation:
The answer is easy it’s 24
describe this graph of a Ferris wheel
Answers
Answer:
A wheel completes a rotation when it moves 360 degrees. The descriptions of the graph are: The Ferris wheel will rotate 4 times.
Step-by-step explanation:
but what graph
The Ferris wheel makes 4 rotations.
The maximum points on the graph represent when the Ferris wheel is at the top, and the minimum points on the graph represent when the Ferris wheel is at the bottom