Answer:
The area of the lawn is 68 [tex]m^2[/tex].
Step-by-step explanation:
Area of lawn = Area of garden - (Area of triangle + Area of trapezium)
Area of garden = length x width
= 14 x 10
= 140 [tex]m^2[/tex]
Area of triangle = [tex]\frac{1}{2}[/tex] x base x height
= [tex]\frac{1}{2}[/tex] x 3 x 8
= 12 [tex]m^2[/tex]
Area of trapezium = [tex]\frac{1}{2}[/tex] (a + b) h
= [tex]\frac{1}{2}[/tex](5 + 7) 10
= 60 [tex]m^2[/tex]
So that;
Area of lawn = 140 - (12 + 60)
= 140 - 72
= 68
The area of the lawn is 68 [tex]m^2[/tex].
Identify the two whole numbers between which the product lies 7x8/10
Hey there!
7 * 8/10
= 7/1 * 8/10
= 7/1 * 8 ÷ 2 / 10 ÷ 2
= 7/1 * 4/5
= 7(4) / 1(5)
= 28/5
≈ 5.6
= 5 3/5
So, therefore the answer should be:
Anywhere BETWEEN 5 & 6
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
5 and 6
Step-by-step explanation:
The product of the whole number and fraction is ...
7×(8/10) = (7×8)/10 = 56/10 = 5.6
This lies between 5 and 6.
i need help with 7th grade math 30 points and brainleist ASAP
Answer:
The scale factor is 8. The model is scaled by 8 to get the sculpture.
If they want it in reverse, the answer is 1/8. The model is 1/8th of the sculpture's size.
Sculpture = scale factor * model
[we get this equation because the model must be turned into a sculpture so we want to find how much bigger the model is compared to sculpture]
Let's take the length of the sculpture and model to put in.
x
56 = scale factor * 7
56/7 = scale factor
8 = scale factor
Answer:
1/8
Step-by-step explanation:
Take the scale factor as a ratio between the model and the sculpture.
Take any of the listed dimensions (length, for example) and divide.
7/561/8find the value of x. Cos(67°) = x/1
Answer:
The value of cos 67° is equal to the x- cordinate ( 0.3907 ). therefore, cos 67° = 0.3907
ayuda plis /help please
Answer:
a. 8
b. -12
c. 18
d. -22
e. 14
f. -2
g. -16
creo q seria asi no estoy muysegurappp
Write an equation that represents the line.
Use exact numbers. please help and i cant get it wrong if ur answer isn’t right pls don’t put it fr
Answer:
y = (3/4)x-9/2
Step-by-step explanation:
We've got two points, (-2, -6) and (2, -3). That's more than enough info to construct a line. The slope of the line is the ratio between the change in y (Δy) and the change in x (Δx). Here, Δy = -3 - (-6) = -3 +6 = 3, and Δx = 2 - (-2) = 2 + 2 = 4, so the slope is Δy/Δx = 3/4. From here, we can use the point-slope form of a line to get a general equation. With the slope m = 3/4 and choosing the point (2, -3), we have
[tex]y-y_1=m(x-x_1)\\y-(-3)=(3/4)(x-2)\\y+3=(3/4)x-3/2\\y=(3/4)x-3/2-3\\y=(3/4)x-3/2-6/2\\y=(3/4)x-9/2[/tex]
For the graph given, select the statement that best represents the given system of equations.6x + 4y = 2 3x + 2y = 1
A. inconsistent
B. consistent and independent
C. not enough information
D. coincident
Answer:
D. coincidentStep-by-step explanation:
An coincident system of equations means that it has infinite solutions, because one line is on the other one. This happens when their equation are the same, or their "parent" line is the same.
So, given equations are:
6x + 4y = 2 and 3x + 2y = 1
Observe that if we divide the first by 2, we have
[tex]\frac{6x+4y}{2} =\frac{2}{2}[/tex]
[tex]\frac{6x}{2}+\frac{4y}{2} =1[/tex]
[tex]3x+2y=1[/tex]
As you can see, using the first equation, we found that it has the same "parent" equation than the second equation. In other words, they are basically the same. This means that they represent the same line, so, the system is coincident and they have infinite solutions.
The answer is coincident :)
HELPPPPPPPPP MEEEE PLEASEEEEEE
Answer:
525 ml
Step-by-step explanation:
7 + 4 = 11 ml
825 ml ÷ 11 ml = 75 units for 1 part ( or A or B ) of drug
75 × 7 ml = 525 ml of part A
and
75 × 4 = 300 ml of part B
helppppppppppppppppppp
Answer:
√60
Step-by-step explanation:
6² = 36 ⇒ √36 = 6
8² = 64 ⇒ √64 = 8
⇒ 6 < x < 8
⇒ √36 < x < √64
Therefore, we need the square root of a number between 36 and 64.
From the given options, √60 is the only available option as:
√36 < √60 < √64
⇒ 6 < √60 < 8
Therefore, √60 is greater than 6 and less than 8.
√60
Because
Square of rest two numbers
6²=368²=64As
60 lies in between 36 and 64
So
√60 lies in between 6 and 8.
The product of two consecutive positive even numbers is 960. What are the numbers?
help please i need help
a) Line AE, and Line BC are parallel
b) Line ED, and Line CD
c) 3
Step-by-step explanation:
What is the number sentence for "1 less than N is the sum of Z and
2"?
Answer:
N–1=Z+2 should be the solution.
Ammaar put 4/7 of the money he earned raking leaves in the bank. He spent 1/3 of the money on a book.
Create an expression with common denominators that can be used to find the difference between the fraction of money Ammaar put in the bank and the fraction he spent on the book
Answer for grade 6 pls
The expression that can be use to find the difference between the fraction of money Amar put in the bank and the fraction he spent on the book is 4 / 7 x - 1 / 3 x
How to create an expression?Amar put 4/7 of the money he earned raking leaves in the bank. Therefore,
let the money she earned = x
Hence,
amount put in bank = 4 / 7 x
She spent 1 / 3 of the money on books. Therefore,
money spent on books = 1 / 3 x
Therefore, the expression that can be use to find the difference between the fraction of money Amar put in the bank and the fraction he spent on the book is as follow:
4 / 7 x - 1 / 3 x
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Pls hurry need done soon no bots Find the area
Answer:
12
Step-by-step explanation:
Split into 2 shapes, the to find the area of the triangle you multiply base×height divided by 2.
4×3=12
12/2=6
after that find the area of the rectangle
2×3=6
add the area's together
6+6=12
Rewrite without parentheses and simplify.
(2-5y)²
Answer:
Your answer is in the Picture.
Step-by-step explanation:
Visit cymath is you want to factor polynomial or simply for you.
A quadrilateral with vertices at A(4,-4), B(4, -16), C(12, -16), and D(12, -4) has been dilated with a center at the
origin. The image of D, point D', has coordinates (36, -12). What is the scale factor of the dilation?
1/9
1/3
3
9
Using translation concepts, it is found that the scale factor of the dilation is of 3.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, considering point D and it's image, the following translation happened:
(12, -4) -> (36, -12).
In general terms, we have that:
(x,y) -> (3x, 3y).
Hence the scale factor is of 3.
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The point {-1,5} is reflected over the y-axis. Where is the location of the new
image?
A (1,-5)
B(1,5)
C(5, 1)
D (-1,-5)
Answer:
B (1, 5)
Step-by-step explanation:
When a point is reflected over an axis, the coordinate which corresponds to that axis does not change. The other coordinate becomes negative with respect to the current value.
Hence, since the y-axis is mentioned, the y-coordinate does not change and the x-coordinate becomes negative.
New point = (-(-1), 5)New point = (1, 5)Option BAnswer: The answer i "B"
Step-by-step explanation: No need for a long explanation im sure of it the answer is surely, B
What is the next step to solve the equation 5y 3x15 for y?
Answer:y will be 45 then Multiply 45x3 which equals 135. Then add 135+62 and get your awnser.
Step-by-step explanation:
A right triangle has a length of 30 and a side with a length of 18. A side with a length of 24 is opposite angle theta. What statement about the angle theta is true?
HELP QUICKLY PLEASE
Answer:
[tex]\text{A. }\cos \theta = \frac{3}{5}[/tex]
Step-by-step explanation:
See attached file for complete work.
For any number n>1, is
|( 1/2 + 3/4i)^n|
A. Greater than one
B. Less than one
C. Equal to one
Based on the calculations, for any number n > 1, [tex]|(\frac{1}{2} + \frac{3i}{4} )^n|[/tex] is less than one but not greater than or equal to one.
How to solve the equation?First of all, we would simplify the equation by using the lowest common multiple (LCM) of the fractions as follows:
[tex]|(\frac{2\;+\;3i}{4} )^n|[/tex]
By applying exponent rule, we have:
[tex](a.b)^n=a^n \times b^n\\\\|(\frac{(2\;+\;3i)^n}{4^n} )|\\\\|(\frac{(2\;+\;3i)^n}{(2^2)^n} )|[/tex]
By applying exponent power rule, we have:
[tex]|(\frac{(2\;+\;3i)^n}{2^{2n}} )|[/tex]
Assuming n = 2, we have:
[tex]|(\frac{(2\;+\;3i)^2}{2^{2\times 2}} )|\\\\|(\frac{(2\;+\;3i)^2}{2^{4}} )|\\\\|(\frac{-5\;+\;12i}{16} )|[/tex]
Therefore, for any number n > 1, [tex]|(\frac{1}{2} + \frac{3i}{4} )^n|[/tex] is less than one but not greater than or equal to one.
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i need help with 7th grade math please 45 points need help ASAP + brainleist
Answer:
Area = 601.8760801 ft^2
Step-by-step explanation:
Area of Rectangle: Area = Length* Height
Area of a Semi-Circle = π*r^2 /2
Area of Rectangle: Area = 14 * 21 = 294 ft^2
Area of a Semi-Circle = π * 14^2 / 2 = π * 196/2 = π * 98 ft^2
Add the Two Area: 294 ft^2 + 98π ft^2 = 601.8760801 ft^2
Answer:
77.98 ft
Step-by-step explanation:
Perimeter :
2(21) + 14 + 3.14 x 742 + 14 + 21.9856 + 21.9877.98 fthow much greater is 8 x 10 to the 5 power then 8 x 10 to the -1 power
Answer:
8x10 to the 5 power is 8,000,000 and 8x10 to the -1 power is .8
Step-by-step explanation:
To solve the first problem, you multiply 8 and 10 which gives you 80. Next you move the decimal point 5 spaces to the right which gives you 8,000,000. To solve the second problem, you multiply 8 and 10 which gives you 80. Because you have a negative power you move your decimal point to the left 1 space which gives you .8
What is the equation of the line that is perpendicular to
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{4}}x+6 ~~ \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
therefore then
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-3}{4}} ~\hfill \stackrel{reciprocal}{\cfrac{4}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{4}{-3}\implies \cfrac{4}{3}}}[/tex]
so we're really looking for the equation of a line whose slope is 4/3 and passes through (3 , 9)
[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{9})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{4}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{\cfrac{4}{3}}(x-\stackrel{x_1}{3}) \\\\\\ y-9=\cfrac{4}{3}x-4\implies y=\cfrac{4}{3}x+5[/tex]
Find the slope of the line graphed below
picture is attached
Answer: The answer is D.
Answer:
it is d cause i really need to be nice so i think it is d
Every variable has a coefficient. That’s the number it is multiplied by. According to mathematical convention, coefficients always go in front of their variable. If there is no number in front of a variable in an expression, the coefficient is 1 since the product of any number and 1 is that number. In expressions, operations can be applied directly to a variable. Here are some examples: What is the coefficient of the variable in the expression ½ + v - 3?
Answer:
1
Step-by-step explanation:
Answer:
There is only 1 variable and it is v.
There is no coefficient.
That means the coefficient is 1.
The coefficient of the variable in the expression ½ + v - 3 is [tex]\frac{1}{2}[/tex]
What is the coefficientIn mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression (including variables such as a, b, and c). When the coefficients are themselves variables, they may also be called parameters.
Given that,
[tex]\frac{1}{2}[/tex] is the coefficient
[tex]v[/tex] is the variable
[tex]3[/tex] is the constant
Therefore, The coefficient of the variable in the expression ½ + v - 3 is [tex]\frac{1}{2}[/tex]
Learn more about the coefficient here:
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14. A unfair coin has the probability of heads
3 / 8
and the probability of tails
5 / 8
. What is the probability
of tossing three heads in a row? Of tossing two heads followed by one tail? Of tossing two heads and one
tail in any order?
Answer :
the probability of tossing three heads in a row
[tex]=\left( \frac{3}{8} \right)^{3} =\frac{27}{512} =0.052734375[/tex]
…………………………………………
the probability of tossing two heads followed by one tail
[tex]=\left( \frac{3}{8} \right)^{2} \times \left( \frac{5}{8} \right) =\frac{45}{512}[/tex]
……………………………
the probability of two heads and one tail in any order
[tex]=3\times \left( \frac{3}{8} \right)^{2} \times \left( \frac{5}{8} \right) =\frac{135}{512}[/tex]
A food truck is serving a special lunch combo meal that includes a drink, a main dish, and a dessert.
Customers can choose from 2 drinks, 4 main dishes, and 3 desserts.
How many different combo meals are possible?
Select from the drop-down menu to correctly complete the statement.
Customers can create Choose... different lunch combo meals.
Answer:
It's 90 if you go through k12 :]
Step-by-step explanation:
The number of ways to choose a combo meal is 24.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
2 drinks, 4 main dishes, and 3 desserts
Now,
To find the number of different combo meals possible, we can use the fundamental counting principle. This states that if there are m ways to do one thing and n ways to do another thing, then there are m x n ways to do both things.
2 ways to choose a drink
4 ways to choose a main dish
3 ways to choose a dessert
2×4×3=24
Therefore, by algebra the answer will be 24.
More about the Algebra link is given below.
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a) I have three times as much money as does my brother. Our combined total is 24. How much does each of us have?
Answer:
Brother has $6
I have $18
Step-by-step explanation:
To answer - you have to write the equation out. Money I have is (3x) and Brother's money is x. :)
Each vertex of a quadrilateral is dilated by a scale factor of about the
point P (-7, 4). What will be the effect on the perimeter of the resulting lens
figure?
Answer:
write an article for publication in the daily graphic on the topic every school must have a library
A carton of half & half costs $.98 for 4 cups. What is the cost per cup?
Answer:
$00.245
Step-by-step explanation:
.98/4=00.245
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Multiple Choice Question 5 of 14 Is the quadrilateral a parallelogram, rectangle, rhombus, or square? Select all that apply.
A) square 5
B) rhombus
C) parallelogram
D) not enough info or none of these
E) rectangle
Answer: B, C
Step-by-step explanation:
All four sides are congruent, so it is both a rhombus and a parallelogram.
It is not a rectangle because we do not know if two of the sides are perpendicular. From this, we also cannot tell if it is a square.
