Answer:
594 in²
Step-by-step explanation:
There are several ways to do this.
divide the shaded region into rectangles, and add their areasdivide the shaded region into trapezoids and add their areassubtract the white space from a bounding rectangle.Given the way the figure is dimensioned, the last strategy is the easiest.
A rectangle that surrounds the entire figure will be 36 inches wide and 22 inches high. The white space rectangle in the lower right corner is shown to be 18 inches wide and 11 inches high.
The area of a rectangle is the product of its length and width:
A = LW
So the difference in area between the "bounding" rectangle and the whitespace rectangle is ...
shaded area = (36 in)(22 in) -(18 in)(11 in) = 792 in² -198 in²
shaded area = 594 in²
_____
Additional comment
You can also recognize that the dimensions of the cut out corner are each half the overall dimensions. That means the shaded area is 3/4 of the overall "bounding" rectangle. There are several ways you can make use of that fact.
does anyone know the answer?
Answer:
Part A: 9.75x > 195
Part B: x > 20
Step-by-step explanation:
Let's say Mark works for x hours. For each hour he works, 9.75 dollars are added to Mark's salary. Therefore, for 1 hour, he gets $9.75, for 2 hours, he gets $9.75 + $9.75 = $9.75 * 2 = $19.50, and for x hours, he gets $9.75 * x as his salary.
We want his salary to be more than $195, so we have $9.75 * x (his salary) > $195, which can be written as 9.75x > 195
divide both sides by 9.75 to solve for x
x > 20
Seth and Ted can paint a room in 6 hours if they work together. If Ted were to work by himself, it would take him 1 hours longer than it would take Seth working by himself. How long would it take Seth to paint the room by himself if Ted calls in sick
Answer:
11.5 hours
Step-by-step explanation:
It would take Seith x hours to paint the room by himself, then Ted needs x + 1 hour.
During 1 hour, Seith can do 1/x of the work, Ted can do 1/(x+1) of the work, then we have
1/x + 1/(x + 1) = 1/6
(2x + 1)/[x(x+1)] = 1/6
x(x+1)=6(2x+1)
x^2 + x = 12x + 6
x^2 - 11x - 6 = 0
[tex]x=\frac{11+\sqrt{145}}{2}= 11.5 hours[/tex]
height of trapezium if the area given is 124
Short base: 12 cm
Long base: 19 cm
Height:?
Answer:
A= 0.5 x (a+b) x h
124 = 0.5 x (12+19) x h
124 = 15.5 x h
÷15.5
h = 8cm
0.5x(12+19) x 8 does gives 124
Thus, height is 8cm.
Hope this helps!
What’s the correct answer for this question?
Answer:
30 ounces
Step-by-step explanation:
1 chain = 10 pounds per foot
3inches = ?
therefore
? = 30 ounces
HELP!!! The number in front of a variable is known as a coefficient. What operation do we assume is in between the number and the variable. Example: 2x o addition O subtraction O multiplication O division
Zarah bought x candies and y cakes from a shop. Price of each candy is $ 5 and price of
each cake is $ 20.
1. How much money did Zarab pay for all candies? Give answer in terms of x
2. What was the cost of all cakes that Zarah bought? Give answers in terns of y
3, Find the total cost of candies and cakes in terms of x and y
4. If x=10 and y =5, how nonch money did she spend for the candies and cakes?
Zarab pay for all candies = 5x
Zarab pay for all cakes = 20 y
Total cost = 5x + 20y
Money spent = 5x + 20y
= 5 × 10 + 20 × 5
= 50 + 100
= $150
Question is in the image
Answer:
A is the correct answer
A baker prepared 264 more cookies than muffins. She sold 3/8 of the cookies and half of the muffins. She had 588 cookies and muffins left altogether. How many cookies did she bake at first?
Answer:
She baked 640 cookies at first.
Step-by-step explanation:
Let cookies be x and muffins be y,
Let cookies remaining be z and remaining muffins be a
x = 264 + y
now,
x - 3/8 of x = z
x - 3x/8 = z
or, (8x-3x)/8 = z
so, z = 5x/8
Now,
y - y/2 = a
or, (2y-y)/2 = a
so, a = y/2
Now,
z + a = 588
or, 5x/8 + y/2 = 588
as we know x = 264 + y,
or, 5(264 + y)/8 + y/2 = 588
or, (1320 + 5y)/ 8 + y/2 = 588
or, (2640 + 10y + 8y)/16 = 588
or, 2640 + 18y = 9408
or, 18y = 9408 - 2640
or, 18y = 6768
so, y = 6768/18
so, y = 376
now,
x = 264 + y
or, x = 264 + 376
so, x = 640
What is the volume of this sphere?
Use a = 3.14 and round your answer to the nearest hundredth.
2 in
Answer:
33.49 cubic inches
Step-by-step explanation:
the volume of a sphere is represented by (4/3)pi(r)^3
pi is 3.14 and r is 2
so 4/3(3.14)(2^3)
2^3 is also 8
4/3(3.14)(8)
the final answer is 33.4933333
OR when rounded it is 33.49
Statement:
The radius of the sphere is 2 inches.
To find out:
The volume of the sphere.
Solution:
Radius (r) = 2 inπ we have to consider as 3.14.We know, volume of a sphere [tex] = \frac{4}{3} \pi \: {r}^{3} [/tex]Therefore, the volume of the sphere[tex] = \frac{4}{3} \times 3.14 \times {(2)}^{3} \: \: cubic \: \: inches \\ = \frac{4}{3} \times 3.14 \times 8 \: \: cubic \: \: inches \\ = 33.49 \: \: cubic \: \: inches[/tex]
Answer:
The volume of the sphere is 33.49 cubic inches.
Hope you could understand.
If you have any query, feel free to ask.
X x 15 = 8 1/3. what is X
Answer:
4
Step-by-step explanation:
yes 1x is the same a x Technically the 1 front of the x is called implied so it's simply written as x say x=4
Answer:
5/9
Step-by-step explanation:
I assume the second x is a times.
X*15=8 1/3
Divide both sides by 15
x= 5/9 or .555 repeating forever
given g(x)=5x+3, find g(4)
Answer:
g(4) = 23
Step-by-step explanation:
g(x)=5x+3, find g(4)
g(4) = 5(4) + 3
g(4) = 20 + 3
g(4) = 23
Hope that helps!
Answer:
[tex] \boxed{g(4) \: is \: 23}[/tex]
Step-by-step explanation:
given :
g(x) = 5x + 3
find g(4)
Answer :
substitute 4 into the equation of function
[tex] g(x) = 5x + 3[/tex]
[tex]g(4) = 5(4) + 3[/tex]
[tex]g(4) = 20 + 3[/tex]
[tex]g(4) = 23[/tex]
Vince worked 559 hours in 13 weeks. At what rate did he work in hours per week?
Answer:
Step-by-step explanation:
43 hours per week i think
Answer:
40 hours per week (40:1)
Step-by-step explanation:
559 / 13 = 39.93
39.93 rounded to the nearest whole number is 40.
Write the trinomial as a square of a binomial or as an expression opposite to a square of a binomial: -1 + 4a -4a^2
Answer:
-(1 - 2a)^2
Step-by-step explanation:
-1 + 4a - 4a^2
= -[1^2 - 2*1*(2a) + (2a)^2]
= -(1 - 2a)^2
Answer:
Step-by-step explanation:
Begin by taking out the minus
-(4a^2 - 4a + 1) The answer is the square root of the 1st and 3rd terms.
√4a^2 = 2a
√1 = 1 Since middle term is minus, one of 2a or 1 must also be minus
Usually the one is made minus.
That leaves you with a perfect square
- (2a - 1)^2 There are more ways than 1 to write this, but I think this is the clearest answer
Javier is standing near a tree. He holds an electronic tape measure near his eyes and finds the three distances shoen
The movement
Find the Least Common Denominator. Then, express each fraction using the Least Common Denominator.
7/10 and 5/6
Answer:
LCM of 7/10- 70
LCM of 5/6- 30
Step-by-step explanation:
Solution:
To find the Least common denominator (LCD) of 7/10 and 5/6, we need to find the Least common multiple of 10 and 6.
I found the LCM through division method. Refer to image attached~
We can tell that:
The LCM is 2 x 3 x 5, which when simplified, we obtain 30. The LCD is 30.Now, let's multiply the denominators and the numerators such that 30 is the denominator in both fractions.
=> 7/10 = 7 x 3/10 x 3 = 21/30=> 5/6 = 5 x 5/6 x 5 = 25/30The fractions are:
21/30 and 25/30Solve for r.
1/3 - 2 = 2
2 = 2
r =
-=[
Submit
[tex] \frac{r}{3} - 2 = 2 \\ \\ \frac{r}{3} = 2 + 2 \\ \\ \frac{r}{3} = 4 \\ \\ r = 4 \times 3 \\ \\ r = 12.[/tex]
The value of r is 12 .
Sum of two numbers 80 and difference is 40. Find two
numbers.
Answer:
The two numbers are 20 and 60
Step-by-step explanation:
Two numbers: x and y
x + y = 80
x - y = 40
x = y + 40
Substitute x
y + 40 + y = 80
2y + 40 = 80
2y = 40
y = 20
Substitute y, so x = 60
the diameter of the circle X is 12 centimeters. The diameter of the circle Y is 8 centimeters.
Which measurement is closest to the difference between the circumference of circle X and the circumference of circle Y in centimeters.
Answer:
20
Step-by-step explanation:
All you do add because it is with even numbers
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
Answer:
I got C as the correct answer.
Step-by-step explanation:
Im sorry if it’s wrong. Im not the best with percentages.
Hope this helped! Have a great day!!
The ratio of men to women working for a company is 2 to 3. If there are 87 women working for the company, what is the total number of employees?
The radius of circular pipe is 12cm,what length of tape is required to wrap once around the pipe(use pie =3.14)
Answer:
75.36 cm
Step-by-step explanation:
We need to find the circumference of the pipe.
Circumference of a circle = 2[tex]\pi[/tex]r (where r is the radius)
Given:
r = 12 cm[tex]\pi[/tex] = 3.14⇒ circumference = 2 x 3.14 x 12 = 75.36 cm
3,100 x 1/10 what is the value of the expression?
Answer: 310
Step-by-step explanation:
Multiplying a value by 1/10 is the same as dividing by 10.
Therefore, 3100* 1/10 = 3100/10
3100/10 = 310.
Hey there!
3,100 × 1/10
= 3,100/1 × 1/10
= 3,100(1) / 1(10)
= 3,100 / 10
= 3,100 ÷ 10 / 10 ÷ 10
= 310 / 1
= 310 ÷ 1
= 310
Therefore, your answer is: 310
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
HELP PLEASE! whats the height and base??
Answer: 7.5
Step-by-step explanation:
Area of the bottom left triangle = 4x3/2 = 6
Bottom right = 6x3/2 = 9
Top right = 3x4/2 = 6
Top left = 6x3/2 = 9
6+9+6+9 = 30
Each square unit is 4
So the answer should be 30/4 = 7.5
Hope this is correct
For each line, determine whether the slope is positive, negative, zero, or undefined.
Answer:
1. Undefined
2. Negative
3. Zero
4. Positive
Step-by-step explanation:
1. Undefined, the line moves in both directions vertically. It's impossible to tell what the slope is.
2. Negative, the line is decreasing at a constant rate, the slope is negative.
3. Zero, the line doesn't increase or decrease, therefore the slope is 0. (No changes)
4. Positive, the line is increasing at a large rate, the slope is positive.
Graph y=2x-7 (pls hurry!)
Put y = 2x - 7 into a graphing website and it'll show you (0, -7), (1, -5).
I will give brainliest to the correct answers! yep that's YOU
Answer: Yes, because the amount of money you save for every beverage bought is constant, and if you buy 0 beverages, you’ll save $0. That means it the situation is graphed, the line produced will be linear and crosses through the origin, which are the requirements for a proportional relationship.
Solve the compound inequality x + 6 > 4 and 3x + 5 < 5
Answer:
[tex]x + 6 > 4 \\ x > 4 - 6 \\ x > - 2 \\ and \\ 3x + 5 < 5 \\ 3x < 5 - 5 \\ 3x < 0 \\ \frac{3x}{3} < \frac{0}{3} \\ x < 0 \\ therefore \\ - 2 < x < 0 [/tex]
Provide an appropriate response. A quiz consists of 100 true or false questions. If the student guesses on each question, what is the standard deviation of the number of correct answers?
Answer:
25-50 correct
Step-by-step explanation:
help me pls give me awnser
Answer:
THE IS 32
Step-by-step explanation:
MALPI THE NUBERS
This Is due tomorrow I really need the help, please make the answer short and simple
Answer:
Step-by-step explanation:
21.019=d
21.019+4=25.019 ft of rope
25.019x.45=11.26
He willpay $11.26 for the rope