Answer:
The answer is 82 square feet
Step-by-step explanation:
An easy way to do this is to split it into two rectanlges. You can do 10*5 and 8*4 as the dimensions to the two rectangles or you can do 2*4 and 9*8.
I am going to do the first option.
The area of a rectangle is length times width.
Rectangle one can be the one with the dimensions 10 and 5 and the length and width.
Rectangle two can be the one with the dimensions 8 and 4 and the length and width.
Area of rectangle one = 50 feet^2
Area of rectangle two = 32 feet^2
Since we split a large irregular shape into two bits, we must add them together, which results in 82 feet^2.
Need answer please help
Answer: X=45
Step-by-step explanation:
pls help what is 1+2
Which expression is equivalent to 3(2t + 6) – 4t?
A. 8t
B. 20t
C. 2t +6
D. 2t +18
HELP PLS
Answer:
b part 20 t or i think c part 2t +6
After one quarter (year), the interest on a principal of $1000 is $8.75.
Find the rate. Write your answer as a percent.
\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$8.75\\ P=\textit{original amount deposited}\dotfill & \$1000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &\frac{1}{4} \end{cases} \\\\\\ 8.75 = (1000)(\frac{r}{100})(\frac{1}{4})\implies 8.75=\cfrac{10r}{4} \\\\\\ 8.75=\cfrac{5r}{2}\implies 17.5=5r\implies \cfrac{17.5}{5}=r\implies \stackrel{\%}{3.5}=r\)
Which equation represents the graphed function?
y=-3x + 3
y = 3x - 3
y = 3x - 1/3
y = -1/2x + 3
Which product is the better deal
A. Washing Powder
B. Super Clean
(easy)
Answer:
Washing Powder
Step-by-step explanation:
Cost less and cleans better.
Answer:
The washing powder I think?
Step-by-step explanation:
Find the volume of the sphere
Step-by-step explanation:
The formula for the volume of a sphere is
4/3 pi r^3 r = radius = 6 yards for this sphere
4/3 pi * (6)^3 = 904.8 yd^3
fv=100000, pmt=4000, i/y=5%, n=10, what is pv?
The Present value is $6,139.132.
We have,
FV=100000, pmt = 4000, I =5%, n=10
So, The present value formula is
PV=FV / (1 + \(i)^n\)
So, PV = 100, 000 / (1+ 5/100\()^{10\\\)
PV = 100,000 / (1+ 0.05\()^{10\\\)
PV = 100, 000/ (1.05\()^{10\\\)
PV = 100,000 / 1.6288946
PV= $6,139.132
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What is an equation of the line that passes through the points (3,6) and (1,−2)?
Answer:
y = 4x - 6
Step-by-step explanation:
Hi there!
We are given the points (3,6) and (1, -2), and that a line passes through these 2 points
We want to find the equation of said line
There are 3 ways to write the equation of the line:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptStandard form, which is ax+by=c, where a, b, and c are integer coefficients but a and b cannot be equal to 0, and a cannot be negative Slope-point form, which is \(y-y_1=m(x-x_1)\), where m is the slope and \((x_1, y_1)\) is a pointThe most common way is slope-intercept form, so let's write the equation of the line this way
First, we need to find the slope
The slope (m) can be found using the formula \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1, y_1)\) & \((x_2, y_2)\) are points
Before we calculate, let's label the values of the points.
\(x_1=3\\y_1=6\\x_2=1\\y_2=-2\)
Now substitute into the formula
m=\(\frac{y_2-y_1}{x_2-x_1}\)
m=\(\frac{-2-6}{1-3}\)
Subtract
m=\(\frac{-8}{-2}\)
Divide
m= 4
The slope of the line is 4
Substitute 4 as m in y=mx+b:
y = 4x + b
Now to find b
Since the equation passes through both (3,6) and (1, -2), we can use either point to help solve for b.
Taking (3,6) for example:
Substitute 3 as x and 6 as y.
6 = 4(3) + b
Multiply
6 = 12 + b
Subtract 12 from both sides
-6 = b
Substitute -6 as b into the equation
y = 4x - 6
Hope this helps!
Topic: finding the equation of the line
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90 n degrees clockwise about vertex l (-4,1)(-2,1)(-4,-3)
For the 90° clockwise rotation, the coordinate (x, y) becomes (y, -x).
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that a point is rotated 90 degrees about the origin.
Assume the point to be -
P(x, y)
For the 90° clockwise rotation, the coordinate (x, y) becomes (y, -x).
Therefore, for the 90° clockwise rotation, the coordinate (x, y) becomes (y, -x).
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12m by 7m what is the area
Answer:
multiply 12*7
Step-by-step explanation:
Answer:
84 m²
Step-by-step explanation:
12 times 7 (for a rectangle)
A triangle has a base that measures 8 centimeters and a height that measures 10 centimeters. What is the area of the triangle?
The area of a triangle is given by the following formula:
\(A=\frac{b\times h}{2}\)Where b is the length of the base and h is the length of the height of the triangle, in this case, b equals 8 and h equals 10, by replacing these values into the above formula, we get:
\(A=\frac{8\times10}{2}=\frac{80}{2}=40\)Then, the area of the triangle equals 40 square centimeters.
Which of the following expressions are equivalent to 256^x? Select all that apply.
a. 8^2x
b. 4^4x
c. (64^x)^2
d. (16^x)^2
e. 2^8x
Answer:
d
Step-by-step explanation:
i did it on eduhguenity
The solutions which satisfy the equation A = 256ˣ are
Option B. 4⁴ˣ
Option D. 16²ˣ
Option E. 2⁸ˣ
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by A = 256ˣ
a)
The value of equation B = 8^2x
B = 8²ˣ
On simplifying the equation , we get
B = 8²⁽ˣ⁾
B = 64ˣ
And the value of B ≠ A
b)
The value of equation B = 4^4x
B = 4⁴ˣ
On simplifying the equation , we get
B = 4⁴⁽ˣ⁾
B = 256ˣ
And the value of B = A
c)
The value of equation B = (64^x)^2
B = (64ˣ)²
On simplifying the equation , we get
B = 64²⁽ˣ⁾
B = 4096ˣ
And the value of B ≠ A
d)
The value of equation B = (16^x)^2
B = (16ˣ)²
On simplifying the equation , we get
B = 16²⁽ˣ⁾
B = 256ˣ
And the value of B = A
e)
The value of equation B = 2^8x
B = (2⁸)ˣ
On simplifying the equation , we get
B = 256⁽ˣ⁾
And the value of B = A
Hence , the equations which satisfy are
Option B. 4⁴ˣ
Option D. 16²ˣ
Option E. 2⁸ˣ
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If (x) = 5x - 7, what is (3)?
А. В
Ов, 1
Ос, 2
D. 22
Answer:
oc,2
Step-by-step explanation:
(__(_+)£)£(£886++17+£7+
has a perimeter of 52 feet. Let W be the width, L be the length, and P be
the perimeter, all with units in feet.
a. Given two sets of four rectangles, find one rectangle in each set that could have a
perimeter of 52 feet.
b. Which of the symbols W, L, and P are variables?
c. Which of the symbols W, L, and P are constants?
A rectangle that could have a perimeter of 52 feet is a 12 feet by 14 feet rectangle.
The symbols W and L are variables.
The symbol P is a constant.
How to calculate the perimeter of a rectangle?In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;
P = 2(L + W)
52 = 2(12 + 14)
52 = 2(26)
52 feet = 52 feet.
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Philip has been experimenting with new recipes at his bakery for the past 8 months. This month, he tried a recipe for lavender vanilla muffins and gave samples to his customers. He asked them to rate the muffins on a scale of 1 to 10 stars. The median rating was 7 stars, and the interquartile range was 4 stars. ) What can you conclude from these data and statistics? Select all that apply. () No customer gave the muffins fewer than 8 stars. A typical rating for the muffins was 7 stars. The middle 50% of customer ratings had a range of 4 stars. Submit
11 players are going to practice in the batting cage. how many different orders are possible
Answer:
Step-by-step explanation:
geometry need help asap
The value of angle LAF in the intersecting chords is determined as 104⁰.
What is the value of angle LAF?The value of angle LAF is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.
Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.
m∠LAF = ¹/₂ (arc LF + arc YS)
From the diagram, we have arc LF = 160⁰ and YS = 48⁰
m∠LAF = ¹/₂ (160 + 48)
m∠LAF = 104⁰
Thus, the value of angle LAF is calculated by applying intersecting chord theorem.
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Find the exact values of the sine, cosine, and tangent of the angle.
11
The exact values of the sine, cosine and tangent of 11 is 0.1908, 0.9816 and 0.1944 respectively.
What are Trigonometric Functions?Trigonometric functions are defined as the real functions which are simply the functions of an angle of a triangle. They are basically the periodic functions which relate an angle in a right angled triangle to the ratios of the length of two sides.
11 degrees can be represented in radians as 0.192
Sine of the angle 11 is,
sin (0.192) = 0.1908
Cosine of the angle 11 is,
cos (0.192) = 0.9816
Tangent of the angle 11 is,
tan (0.192) = 0.1908 / 0.9816 = 0.1944
Hence the trigonometric functions of 11 are sin (0.192) = 0.1908, cos (0.192) = 0.9816 and tan (0.192) = 0.1944.
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Need the steps too this
The value of x is 9.
We have : - 25 = 7 - (5x - 13)
We have to find the value of x.
If f(x) = g(x), than what do you understand by true solution of this equation?The true Solution of the equation is the value of x for which LHS = RHS.
For example - if ax + b = cx + d , then
ax - cx = d - b
x = \(\frac{d-b}{a-c}\) is the true solution of the equation.
In the question given -
- 25 = 7 - (5x - 13)
- 25 = 7 - 5x + 13
5x = 45
x = 9
Hence, the value of x for which LHS = RHS is 9.
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Which expression is equivalent to (-2a + 3b)(2a – b)
a. -a + b
b. -a + 8ab + b
c. -4a2 + 8ab – 3b²
d. -4a2 – 6b²
The answer is C because of distribution.
What is the volume, in cubic meters, if the prism below?
=================================================================
Explanation:
Imagine rotating the figure so that the triangular face is flat on the ground. This makes the triangular faces to be the floor and ceiling of this room.
The floor is a triangle with base 24 meters and height 7 meters. The floor area is base*height/2 = 24*7/2 = 84 square meters.
Multiply this floor area with the height of the room (22 m) to get the volume of the room.
volume = (floor area)*(height) = 84*22 = 1848 cubic meters
They started on their trip with a full 20 gallon gas tank. They drove 700 miles and ran out of gas. How many miles per gallon did they average? miles per gallon.
Answer:
35 per miles
Step-by-step explanation:
im dum∵b
A catapult hurls a cantaloupe from a heightof 12 feet at an initial velocity of 47 feetper second.n(t) = -16 t2 + 47t +12
To find the equation we use:
\(h(t)=-\frac{1}{2}gt^2+v_0t+h_0\)Where h is the gravity, v0 is the intial velocity and h0 is the initial height.
Then, we replace the values,
\(\begin{gathered} g=32\frac{ft}{s^2};v_0=47\frac{ft}{s};h_0=12ft \\ h(t)=-\frac{1}{2}32t^2+47t+12 \\ h(t)=-16t^2+47t+12 \end{gathered}\)Please help me answer this
Answer:
1) 1:2 2) 3
3) 1:8 4) 2:7
5) 1:4 6) 3:7
7) 2:5 8) 3:11
9) 2:7 10) 4:7
11) 8:9 12) 7:11
13) 1:2 14) 3
15) 26:27 16) 1:40
17) 1:10 18) 1:100
19) 1000 20) 10
Step-by-step explanation:
Please please answer
Answer:
thanks for your support of the personal information on the direction of economics class
Translate this sentence into an equation.
The product of 3 and Vidya's height is 54.
Use the variable v to represent Vidya's height.
Th equation is \(3v=54\\\).
Given,
product of 3 and vidya's height is 54
v is represented as vidya's height.
Representation of equation is as follows:
The product of 3 and vidya's height can be written as \(3*v=3v\)
and their product is 54,
\(3v=54\).
Thus, the equation is \(3v=54\\\).
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Twice a number is decreased by 7, and this quantity is multiplied by 3. the result is 9 less than 10 times the number. What is the number?
Answer:
(7-2x)3 =9-10x
x= -3
Step-by-step explanation:
we let the number to be x.
twice a number=2x is decreased by 7 that is to say 7-2x, is multiplied by 3, we have (7-2x)3.
the result is 9 less than 10times the number which is =9-10x.
so bringing all these together we have;
(7-2x)3=9-10x.
what is the number?
solving, we have:
(7-2x)3=9-10x
21-6x=9-10x
21-9= -10x+6x
12= -4x
dividing both sides by -4 we have our number
x= -3.
for proof we can substitute x=-3 into the equation.
21-6(-3) =9-10(-3)
21+18=9+30
39=39
Sadam earns 1.5% commission on homes that he sells. Last month, he sold $3,000,000 worth of homes. How much money did he earn last month?
A sample of 55 chewable vitamin tablets have a sample mean of 249 milligrams of vitamin C. Nutritionists want to perform a hypothesis test to determine how strong the evidence is that the mean mass of vitamin C per tablet differs from 248 milligrams. State the appropriate null and alternate hypotheses.
Answer:
Step-by-step explanation:
The null hypothesis is mostly of the time the default hypothesis while the alternative hypothesis is the opposite of the null hypothesis and always tested against the null.
In this case study, the null hypothesis is: mean mass of vitamin c tab = to 248 milligrams
The alternative hypothesis is: mean mass of vitamin c tab =/ 248 milligrams