The figure below shows a large rectangle with a small rectangle cut out of it.
What is the area?
Answers
Answer:
40 square units
Step-by-step explanation:
The question gives that both the large shape and the small missing shape are rectangles. The formula for the area of a rectangle is [tex]A=bh[/tex] where "A" is the "Area", "b" is the "base" (bottom edge), and "h" is the height (side edge).
For rectangles, opposite sides (example: top & bottom) have the same length, so the top of the missing rectangle must also be 3.
To find the area of the figure, we must find the difference (subtraction) between the large rectangle (without a hole out of it) and the rectangular hole.
[tex]A_{\text{figure}}=A_{\text{large rectangle without hole}}-A_{\text{hole}}\\A_{\text{figure}}=(7)(7)-(3)(3)\\A_{\text{figure}}=49-9\\A_{\text{figure}}=40[/tex]
So, the area of the figure is 40 square units.
Answer:
40
Step-by-step explanation:
We can make a big square by making a line at the top open edge (as shown in the image attached below). We will first solve for [tex]A_{2}[/tex] and then [tex]A_{1}[/tex], and then finally solving for out answer by subtracting [tex]A_{1}[/tex] from [tex]A_{2}[/tex] .
[tex]A_{2}[/tex] is a square with side lengths of 7, so the area is 7 * 7 = 49.
[tex]A_{1}[/tex] is a smaller square with side lengths of 3, so the area is 3 * 3 = 9.
[tex]A_{2} - A_{1} = 49 - 9 = 40[/tex]
∴ Our final answer is 40
Related Questions
Which of the following did you include in your response? Check all of the boxes that apply. the range, or spread, of the salaries whether most people make a very low salary and one or two people make a high salary the minimum salary, and whether that is an entry level or starting salary the maximum salary whether the maximum salary is a lot higher than the average and other salaries are a lot lower than the mean
Answers
Answer:
Check all of them
Step-by-step explanation:
If you are on Edg, just check all of them.
(please help) Find the value of A
Answers
Step-by-step explanation:
(6a + 10)° = (3a + 55)°
6a - 3a = 55 - 10
3a = 45
a = 45/3
a = 15° IS THE ANSWER
The difference of a number and 6is the same as 5 times
Answers
Answer:
let difference be x
Step-by-step explanation:
you can solve for x by keeping the 2 statesments as conditions.
then you solve for both equations together by adding subtracting or multiplying.
eg: let x be the number.
the. proceed with conditions as equations
then solve
then your answer is here
In a cake recipe, 400 grams of butter is mixed with 800 grams of flour. What is the ratio of the butter to the flour? Write it in its simplest form.
Answers
Answer:
First of all this is 5th grade math but 400/800 = 1/2
Step-by-step explanation:
Answer:
1:2
Step-by-step explanation:
400/800=1/2 as 400*2=800
The equation of a line is y = 1.5x − 2. What are its slope and y-intercept?
Answers
You need to use y=mx+c to answer this so basically
gradient/slope (m) is 1.5 and the y-intercept (c) is -2
Hope this helps :)
[tex]\triangleright[/tex]Hii! [tex]\triangleleft[/tex]
-- - -- - -- - -- - -- - - - -- - -- - -- - -- - -- - -- - -- -- -- - -- -- - -- -- -- -- --- -- -- --- - -- -- --
[tex]\triangleright[/tex] [tex]\stackrel\circ{\rightsquigarrow\circ\boldsymbol{\underbrace{Answer}}}\circ\leftharpoonup[/tex] [tex]\triangleleft[/tex]
Slope = 1.5 ✅Y intercept = -2 ✅[tex]\stackrel\circ{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation}}}\circ\leftharpoonup[/tex]
[tex]\bullet[/tex] Let's start by examining the equation we are working with more closely
-- ↩
This particular equation is provided to us in "slope intercept form".
--
The slope intercept formula is "[tex]\boldsymbol{y=mx+c}[/tex]"
--
In this formula the letter "m" denotes the slope; the letter "c" denotes the y intercept.
(Remember, variables (letters) represent numbers! ^__^)
--
[tex]\bullet[/tex] Above is all the information we need to come up with a solution to the given problem! ^^
--
Now it's time we considered this.
"What is the slope & y intercept of the equation y=1.5x-2?"
--
If in the formula y=mx+c, the slope is m, then what is the slope in the equation y=1.5x-2?
The slope is [tex]\large\boxed{\mid \boldsymbol{1.5} \mid}}[/tex].
The y intercept is [tex]\large\boxed{\mid \boldsymbol{-2} \mid}}[/tex]
[tex]\Large\text{Great job!! c:}[/tex]
--
Hope that this helped! Best wishes!
[tex]\textsl{Reach far. Aim high. Dream big.}[/tex]
--
[tex]\underline{\underline{\underline{\overbrace{\boldsymbol{Learn\;More!!}}}}}[/tex]
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In the figure below not drawn to scale. DC is a tangent to the circle. DC = 6cm, AB = 5cm. Calculate BC. (3mks)
Answers
Answer:
4
Step-by-step explanation:
DA²= CB×CA
6²= y×(y+5)
36=y²+5y
y²+5y-36=0
x1+x2=-5
x1×x2=36
x1=4
x2=-9
x must be positive, then answer is 4
chek: 4×9=36
the ratio of the teacher and student of Nepal Secondary School is 1:32. if the number of teachers of that school is 25 find the number of students
Answers
Answer:
The number of students is 800
1 teacher=32 students
25 teachers=?
(32×25)/1
800
23.
(05.07 MC)
Use the data in the table to determine the correlation coefficient. (1 point)
Overall Student Average Math Class Average
90 80
95 90
80 90
84 95
75 75
80 85
0.65
0.35
0.30
0.03
Answers
The correlation coefficient of the data given in the table, using a calculator, is of 0.35
How to find the correlation coefficient of a data-set using a calculator?To find the coefficient, we need to insert the points (x,y) in the calculator.
In this problem, we have that:
The values of x are: 90, 95, 80, 84, 75, 80.The values of y are: 80, 90, 90, 95, 75, 85.Using a calculator, the coefficient is of 0.35.
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I need hard and easy math questions with the answer, i need 10 questions
thnx
Answers
Answer:
https://www.khanacademy.org/
Step-by-step explanation:
I am not entirely sure what you mean however if you sign up for this website and go to whichever grade level you need you can practice all you want
Which property allows you to write the expression (3 7i) (8 − 6i) as (8 − 6i) (3 7i)?
Answers
Answer:
Commutative property
Jacob traveled 171 miles in 3.8 hours. He wants to know how many miles he traveled in one hour, so he set up this problem:
Answers
Answer:
so first we have to divide each side by 38
4.5miles=0.1
45miles=1 hour
Hope This Helps!!!
graph the line with slope -1/2 passing through the point (5,-3)
Answers
Step-by-step explanation:
The graph is shown in the image above.
Answer: Draw a line through the two points (5,-3) and (7,-4)
See the diagram below.
=======================================================
Explanation:
Start at (5,-3). Then move down 1 and to the right 2 units to arrive at (7,-4)
The motion of "down 1, right 2" is from the slope of -1/2
slope = rise/run = -1/2
rise = -1 = go down 1 unit
run = 2 = go 2 units to the right
Two points are the minimum amount needed to draw any line. Plot the two points (5,-3) and (7,-4) and draw a straight line through them as shown in the diagram below. I used GeoGebra to make the graph. Desmos is another tool you could use.
The recursive formula for an arithmetic sequence is:
a1 = -10
an = an-1+3
What is the 3rd term in the sequence?
A. -16
B. -30
C. -7
D. -4
Answers
Answer:
D. -4
Step-by-step explanation:
a1 is the first term.
a1 = -10
an = an-1 + 3
The recursive formula means that each term after the first term is 3 more than the previous term.
a2 = a1 + 3 = -10 + 3 = -7
a3 = a2 + 3 = -7 + 3 = -4
21, Given: AC=FC, CB = CD
Prove:
Answers
Answer:
in triangle ACD and BCE
AC = EC
angle ACD = angle ECB ( COMMON ANGLE).
CB = CD
BY side and side criteria
triangle ACD is congruent to triangle BCE
so angle a is congruent to angle E
hence, proved
can someone look at this image?
Answers
Answer:
image doesn't showing up ........Find the equivalent exponential expression. [(-4)^5]^3
Answers
Answer:
[tex]-4^{15}[/tex]
Step-by-step explanation:
Given expression:
[tex]\left[(-4)^5\right]^3[/tex]
[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies (-4)^{(5 \times 3)}[/tex]
[tex]\implies (-4)^{15}[/tex]
[tex]\textsf{Apply exponent rule} \quad (-a)^n=-a^n,\:\: \textsf{ if }n \textsf{ is odd}:[/tex]
[tex]\implies -4^{15}[/tex]
Use the formula to solve the equation x^2 + 9x + 8 = 0.
Answers
Answer:
[tex]x=-8, -1[/tex]
Step-by-step explanation:
Given the equation [tex]x^{2} +9x+8=0\\[/tex],
By the quadratic formula,
[tex]x=\frac{-b+-\sqrt{b^{2}-4ac } }{2a}[/tex],
[tex]x=\frac{-(9)+-\sqrt{(9)^{2}-4(1)(8) } }{2(1)}=\frac{-9+-\sqrt{49 } }{2}=\frac{-9+-7 }{2}[/tex]
We have two different solutions for x where [tex]x=\frac{-9-7 }{2}[/tex] and [tex]x=\frac{-9+7 }{2}[/tex]
So, x = [tex]-16/2=-8[/tex] and [tex]x=-2/2=-1[/tex]
Therefore, the solutions to this quadratic equation is x = -8, -1, by the quadratic formula.
Solve for x: √x + 3-4=7
Answers
Answer:
x = 64
Step-by-step explanation:
Solve for x: √x + 3-4=7
√x + 3-4=7
= √x + 1 = 7
= √x = 7 + 1
= √x = 8
= (√x)² = 8²
x = 64
Please answer!!
-3 + 4/7 - 1/5
Answers
Step-by-step explanation:
please mark me as brainlest
Answer:
-92/35
Step-by-step explanation:
-3 + 4/7 - 1/5 =
-21/7 + 4/7 - 1/5 =
-(21*5) / (7*5) + (4*5)/(7*5) - (1*7)/(5*7) =
-105/35 + 20/35 - 7/35 =
-105+20-7 / 35 = -92/35
What is the number of possible combinations of 7 objects taken 4 at a time?
OA. 5,040
OB. 840
OC. 210
OD. 35
Answers
The number of possible combinations of 7 objects taken 4 at a time is 35. Then the correct option is D.
What is the combination?Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.
The number of possible combinations of 7 objects taken 4 at a time.
so, the number of the combination is given as
[tex]^7C_4 = \dfrac{7!}{4!(7-4)!} \\\\\\^7C_4 = \dfrac{7!}{4!(3)!} \\\\\\^7C_4 = \dfrac{7 \times 6\times 5\times 4!}{4!(3\times 2)} \\\\\\^7C_4 = 35[/tex]
More about the combination link is given below.
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Answer:
D. 35
Hope this helps!
Step-by-step explanation:
A surveyor is measuring the distance across a canyon. He sets up two similar right triangles and finds that the length of CD = 12 feet and the length of DE = 16 feet.
If △ABC ~ △EDC, what is the length side AB?
Answers
The length side AB is 64 ft , Option D is the correct answer.
What is a Right triangle ?A triangle that has one angle 90 degree is called Right angled Triangle.
From the figure it can be seen that
The triangle CDE is a right Triangle
Applying Pythagoras theorem to find the length of CE
CE² = 12² + 16²
CE = 20 ft
As both the triangles are similar therefore the ratio of the sides will be equal
BC : CD = AC : CE
48 / 12 = AC / 20
AC = 80ft
As Triangle ABC is also a right angled triangle
Applying Pythagoras theorem to find the length of AB
AC² = BC² +AB²
6400 = 48² +AB²
AB² = 4096
AB = 64 ft
Therefore Option D is the correct answer.
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Answer:
64 ft.
Step-by-step explanation:
Keep it simple, just givin' the answer :)
Which triangle would be most helpful in finding the distance between the points (–4, 3) and (1, –2) on the coordinate plane?
On a coordinate plane, a triangle has points (negative 4, 3), (1, negative 2), (5, 3).
On a coordinate plane, a triangle has points (negative 4, 2), (negative 1, 4), (1, negative 3).
On a coordinate plane, a triangle has points (negative 4, 3), (negative 4, negative 2), (1, negative 2).
Answers
The correct answer is option 3 which is the third graph showing the correct locations of the points on the coordinate plane.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The graph in option third is showing correct points on the x-y plane which are ( -4,3) and ( 1,-2).
-4 is along the negative x-axis and 3 is along the positive y-axis similarly to the second point positive 1 is along the x-axis and negative 2 is along the y-axis.
Therefore the correct answer is option 3 which is the third graph showing the correct locations of the points on the coordinate plane.
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What will be the percentage of profit per annum by which Tk.13000 will be Tk.18850 as profit-principal in 5 years?
Answers
The simple interest rate is 9% if the Tk 13000 will be Tk 18850 as profit-principal in 5 years.
What is simple interest?It is defined as the interest on based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount of borrowed amount.
We have given:
The principal amount, P = Tk 13000
Final amount A = Tk 18850
Number of years n = 5 years
Rate = r
I = A - P
I = 18850 - 13000 = Tk 5850
I = Pnr
5850 = 13000(5)(r)
r = 0.09
r = 9%
Thus, the simple interest rate is 9% if the Tk 13000 will be Tk 18850 as profit-principal in 5 years.
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can someone please help mee
Answers
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:Domain = [-2, 1)[/tex]
[tex]\qquad \tt \rightarrow \:Range = [0 , 4][/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Domain = All possible values of x for which f(x) is defined
[ generally the extension of function in x - direction ]
Range = All possible values of f(x)
[ generally the extension of function in y - direction ]
[tex] \large\textsf{For the given graph : } [/tex]
[tex]\qquad \tt \rightarrow \: domain = [ - 2,1)[/tex]
[tex]\qquad \tt \rightarrow \: range= [ 0,4][/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
The following data shows the temperature of a city, in degrees Celsius, on consecutive days of a month:
8.5, 8.3, 8.2, 8.9, 8.4, 8.2, 8.7, 8.5, 8.3, 8.5, 8.4
Which box plot best represents the data? (1 point)
Answers
SECOND ONE
Step-by-step explanation:
Trust me
The second box plot represents the data 8.5, 8.3, 8.2, 8.9, 8.4, 8.2, 8.7, 8.5, 8.3, 8.5, 8.4 option second is correct.
What is the box and whisker plot?A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
We have a box plot shown in the picture.
The data:
8.5, 8.3, 8.2, 8.9, 8.4, 8.2, 8.7, 8.5, 8.3, 8.5, 8.4
From the data given:
The minimum value = 8.2
The maximum value = 8.9
Q1 = 8.3
Q2 = 8.4
Q3 = 8.5
As we can see in the second box plot this data is represented.
Thus, the second box plot represents the data 8.5, 8.3, 8.2, 8.9, 8.4, 8.2, 8.7, 8.5, 8.3, 8.5, 8.4 option second is correct.
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The data set represents the number of minutes dan spent on his homework each night. 30, 35, 35, 45, 46, 46, 52, 55, 57 which box plot correctly represents the data?.
Answers
The box plot first represents the data set option first is correct the third quartile lies between 52 to 54.
What is the box and whisker plot?A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have data set:
30, 35, 35, 45, 46, 46, 52, 55, 57
We can find below details from the data set:
Population size = 9
Minimum: 30
First quartile: 35
Median = 46
Third quartile = 53.5
Interquartile Range = 18.5
Maximum = 57
Outliers = none
Thus, the box plot first represents the data set option first is correct.
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Explain how to write an algebraic expression that
represents the situation.
The strawberries were split evenly into four bags.
Answers
Answer:
x divided by 4
Step-by-step explanation:
4 bags
O O
O O
strawberries would go in each
so lets say like 24 strawberries
24 (x) / 4 = 6
so six strawberries a bag
hope this helps like put a picture in your head
What’s the first step
Answers
Answer:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y
.
x-intercept(s): None
y-intercept(s): (0,5)
Step-by-step explanation:
Understand equivalent ratios in the real world
Ani thinks the perfect milkshake has 5 scoops of ice cream for every 3 spoonfuls of caramel. Freeze Zone makes
"batches of milkshakes with 10 scoops of ice cream and 7 spoonfuls of caramel.
What will Ani think about the amount of caramel in Freeze Zone's milkshakes?
Choose 1 answer:
Freeze Zone's milkshakes have too much caramel.
Freeze Zone's milkshakes have too little caramel.
Freeze Zone's milkshakes are just right.
Answers
Answer:
They have too much caramel
Step-by-step explanation:
The ratio to the perfect milkshake would be 5:3 (5 ice-cream, 3 caramel)
The ratio for freeze zones milkshakes are 10:7 (10 ice-cream, 7 caramel)
As you can see the amount of has ice-cream has doubled (5x2=10)
but the amount of caramel has increased more than double (double would be 3x2=6 but its not it is 7)
Therfore there is too much caramel for the 'perfect milkshake'
Hope this helps :)
Answer:
It is she will think there is too much caramel
Step-by-step explanation:
This is because the ratio of 5:10 is 1:2, so you will have to multiply 3 by 2, which is 6, which is smaller than 7.
1kg of sugar costs ₹25.30 . Find the cost of 13.5kg of sugar
Answers
Answer:
₹ 341.55
Step-by-step explanation:
Cost of 1 kg sugar = ₹ 25.30
Cost of 13.5 kg sugar = 25.30 × 13.5 = 341.55
Hence, the cost of 13.5 kg is ₹ 341.55
If you are writing, write statements too as in my school they give extra marks.
Thankyou and have a great day ahead.
Answer:341.55
Step-by-step explanation:
If one KG of sugar does cost ₹25.3 and if you want to know how much 13.5 kg costs you just would have to multiply/times ₹25.3 by 13.5 and what is 25.3 x 13.5. ₹341.55 and that's your answer!