Solution: 6 x 9 / 2 = 27
If its a triangle its divided by 2 found the sum of base x height.
The area of the triangle is 27 sq.ft
What is Area ?The area can be defined as the space occupied by surface of an object.
The area of a figure is the number of square unit that cover the surface of a closed figure.
The area of a triangle is given by
= (1/2) * base * height
The base of the triangle = 6 feet
The height of the triangle = 9 feet
Therefore the area of the triangle = (1/2) * 6 *9
= 27 sq.ft
Therefore the area of the triangle is 27 sq.ft.
To know more about Area
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to the right of the garden draw a different shape that has the same perimeter as part A of elton's garden what is the area of your shape?
Answer:
wats part A?
Step-by-step explanation:
Give me the data:)
find the rational numbers between 1/3 and 1/2,how many rational numbers can be determined between these two
There are infinitely many rational numbers in that slot. In fact, in ANY slot.
Here are a few of them
0.34, 0.35, 0.36, 0.37
0.40, 0.41, 0.4101, 04102, 0.41021, 0.41022, 0.410221, 0.4102210000001, etc.
a reflecting pool is shaped like a right triangle with one leg along the wall of a building. the hypotenuse is 9 feet longer than the side along the building. the third side is 7 feet longer than the side along the building. find the length of all three sides of the reflecting pool
Answer: The length of all three sides of the reflecting pool are 8 feet , 17 feet and 16 feet.
Step-by-step explanation:
Let sides along the building be 'x', then the measure of hypotenuse = x+9 and the measure of third side = 7+x
Since , the reflecting pool is shaped like a right triangle.
Then , by using Pythagoras theorem , we have
[tex](x+9)^2=x^2+(x+7)^2\\\\\Rightarrow\ x^2+81+18x=x^2+x^2+49+14x\ \ [\text{Using }(a+b)^2=a^2+b^2+2ab ]]\\\\\Rightarrow\ x^2+81+18x=2x^2+49+14x\\\\\Rightarrow\ x^2-4x-32=0\\\\\Rightarrow\ x^2-8x+4x-32=0\\\\\Rigtarrow\ x(x-8)+4(x-8)=(x-8)(x+4)\\\\\Rightarrow\ x=8\ or -4[/tex]
But length cannot be negative , it means x= 8
Now, the length of side along building = 8 feet
Length of hypotenuse = 9+8 =17 feet
Length of third side = 8+7= 16 feet
Final answer:
Using the Pythagorean Theorem and setting the length of the side along the building as x, we solve the quadratic equation to find that the side along the building is 8 feet, the third side is 15 feet, and the hypotenuse is 17 feet.
Explanation:
To solve for the lengths of all three sides of the reflecting pool, we can use the Pythagorean Theorem, which states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two legs (a and b). Let's denote the length of the side along the building as x. Therefore, the hypotenuse will be x + 9 feet and the third side will be x + 7 feet. The equation can be set up as follows:
x² + (x + 7)² = (x + 9)²
Expanding the squares and solving for x gives us:
x² + x² + 14x + 49 = x² + 18x + 81
Combine like terms and move everything to one side:
x² + 14x + 49 - 18x - 81 = 0
x² - 4x - 32 = 0
Factoring the quadratic equation:
(x - 8)(x + 4) = 0
Since a length cannot be negative, we take the positive solution x = 8 feet. Now we can find the lengths of each side:
Side along the building: 8 feet
Third side (7 feet longer than the side along the building): 8 + 7 = 15 feet
Hypotenuse (9 feet longer than the side along the building): 8 + 9 = 17 feet
Use the drop down menus to complete the statement to explain how to compare 3.57 and 3.38.
find the area of rectangle 7 cm long 3 cm wide give a unit of measurement
➷ Area = length x width
Substitute the values in:
Area = 7 x 3
Solve:
Area = 21
The area is 21 cm^2
✽➶ Hope This Helps You!
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➶ Have A Great Day ^-^
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The rectangle shown has an area of 27 cm2 and is modeled by the equation A = 2w2 + 3w, where w is the width. What is the length of the rectangle?
Answer:
The length of the rectangle is [tex]9\ cm[/tex]
Step-by-step explanation:
we know that
The area of rectangle is equal to
[tex]A=LW[/tex]
In this problem we have
[tex]A=27\ cm^{2}[/tex]
so
[tex]27=LW[/tex] ------> equation A
and
[tex]A=2w^{2}+3w[/tex]
so
[tex]27=2w^{2}+3w[/tex]
[tex]2w^{2}+3w-27=0[/tex]
The formula to solve a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] is equal to
[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]
in this problem we have
[tex]2w^{2}+3w-27=0[/tex]
so
[tex]a=2\\b=3\\c=-27[/tex]
substitute in the formula
[tex]w=\frac{-3(+/-)\sqrt{3^{2}-4(2)(-27)}} {2(2)}[/tex]
[tex]w=\frac{-3(+/-)\sqrt{225}} {4}[/tex]
[tex]w=\frac{-3(+/-)15} {4}[/tex]
[tex]w=\frac{-3(+)15} {4}=3[/tex]
[tex]w=\frac{-3(-)15} {4}=-4.5[/tex]
The solution of the quadratic equation is
[tex]w= 3\ cm[/tex]
Find the value of L
[tex]27=L(3)[/tex]
[tex]L=27/3=9\ cm[/tex]
Which will equation show correctly we write an expression that represents the cost for a pair of shoes that is marked down 20% of the regular price when the sales tax is 5% of the markdown price?
Answer:
A
Step-by-step explanation:
You can write an expression to represent the total cost of a pair of shoes. The price of the shoes is the variable r. The shoes are marked down 20% or 0.2r. So the new price of the shoes will be r - 0.2r. You will also have to pay a tax of 5% or 0.05 of the new price. This is written as 1.05(r - 0.2r). You can simplify it by doing whats in the parenthesis.
1.05(r - 0.2r) = 1.05r(0.8r) = 0.84r
the graph of f(x)=(c) is translated 6 units to the right and 2 units up to form a new function
Answer:
Step-by-step explanation:
My opinion is that you meant "f(x) = c." This would be a constant function whose graph is a horizontal line, y = c.
If this graph were translated 6 units to the right, the function would not change.
However, if this function f(x) = c were translated 2 units up, the new function would be g(x) = c + 2.
What is the fourth term of the sequence a1=m an= 2an-1
Answer:
8m
Step-by-step explanation:
We assume you're describing a geometric sequence with first term m and common ratio 2. Then the n-th term is ...
a[n] = m·2^(n-1)
and the fourth term is
a[4] = m·2^(4-1) = 8m
Here’s a graph of a linear function. Write the equation that describes that function ??
Answer:
The equation of the line is y = x + 1
Step-by-step explanation:
In order to find this, start with two points that are on the line. We'll use (0, 1) and (1, 2). Now we can use the slope formula to find the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (2 - 1)/(1 - 0)
m = 1/1
m = 1
Now that we have this, we can use that slope and a point in point-slope form. Then we solve for y to get the equation.
y - y1 = m(x - x1)
y - 1 = 1(x - 0)
y - 1 = 1x
y = 1x + 1
What is
A= 3000(1+.036/12)^72
Algebra 2 compound interest
First we need to simplify [tex]\frac{.036}{12}[/tex] to 0.003.
We get 3000(1+0.003)[tex]^{72}[/tex]
Now we simplify 1+0.0031+0.003 to 1.0031.003.
3000×1.00[tex]3^{72}[/tex]
Simplify {1.003}^{72}1.003 to 1.2407011.240701.
3000×1.240701
Then we simplify to 3722.103387.
Have an amazing day, thanks for using Brainly!
Evaluate (–1)8 + (–1)7 + –16 + –14 – (–1)2. A. 5 B. –3 C. –4 D. –23
Answer:
= -43
Step-by-step explanation:
Evaluating the expression;
(–1)8 + (–1)7 + –16 + –14 – (–1)2
We can use Bodmas
We remove the brackets first
(–1)8 + (–1)7 + –16 + –14 – (–1)2
We get
-8 + - 7 + -16 + -14 - -2
but; - × + = - and - × - = +
Thus;
-8 - 7 - 16 - 14 + 2
= -8 -7 - 16 - 12
= -43
Drag each angle measure to the correct location on the image. Each angle measure can be used more than once.
Answer:
The solution in the attached figure
[tex]m<A=43\°[/tex]
[tex]m<B=137\°[/tex]
[tex]m<C=43\°[/tex]
[tex]m<D=43\°[/tex]
[tex]m<E=137\°[/tex]
[tex]m<F=137\°[/tex]
[tex]m<G=43\°[/tex]
Step-by-step explanation:
see the attached figure with letters to better understand the problem
Part 1) Find the measure of angle A
we know that
[tex]m<A+137\°=180\°[/tex] ------> by supplementary angles
so
[tex]m<A=180\°-137\°=43\°[/tex]
Part 2) Find the measure of angle B
we know that
[tex]m<B=137\°[/tex] ------> by vertical angles
Part 3) Find the measure of angle C
we know that
[tex]m<C=m<A[/tex] ------> by vertical angles
so
[tex]m<C=43\°[/tex]
Part 4) Find the measure of angle D
we know that
[tex]m<D=m<A[/tex] ------> by corresponding angles
so
[tex]m<D=43\°[/tex]
Part 5) Find the measure of angle E
we know that
[tex]m<E+m<D=180\°[/tex] ------> by supplementary angles
so
[tex]m<E+43\°=180\°[/tex]
[tex]m<E=180\°-43\°=137\°[/tex]
Part 6) Find the measure of angle F
we know that
[tex]m<F=m<E[/tex] ------> by vertical angles
so
[tex]m<F=137\°[/tex]
Part 6) Find the measure of angle G
we know that
[tex]m<G=m<D[/tex] ------> by vertical angles
so
[tex]m<G=43\°[/tex]
The alternate interior angles to 137° are also 137°, the corresponding angles are 117°, and the supplementary angles are 43°.
The image shows a pair of parallel lines that are cut by a transversal. Since the parallel lines are cut by a transversal, we can use the following angle relationships:
Alternate interior angles are equal.
Corresponding angles are equal.
Supplementary angles add up to 180 degrees.
Label the given angle
The given angle is labeled 137°.
Label the alternate interior angles
The alternate interior angles to the given angle are also 137°. .
Therefore, we can label the following angles 137°:
The angle opposite the given angle
The angle to the right of the given angle, on the same side of the transversal
Label the corresponding angles
The corresponding angles to the given angle are equal to 117°.
Therefore, we can label the following angles 117°:
The angle above the given angle, on the same side of the transversal
The angle to the left of the given angle, on the opposite side of the transversal.
Label the supplementary angles
The supplementary angles to the 137° angles are equal to 43°.
Therefore, we can label the following angles 43°:
The angle above the 137° angle, on the opposite side of the transversal
The angle to the left of the 117° angle, on the same side of the transversal
Label the remaining angles
The remaining angles are equal to 53°.
Therefore, we can label the following angles 53°:
The angle to the right of the 117° angle, on the opposite side of the transversal
The angle below the 43° angle, on the same side of the transversal
The final image, with all of the angles labeled, is shown below:
For similar question on alternate interior angles.
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Carlos is 6 feet tall.
How many inches tall is Carlos?
(1 foot = 12 inches)
WORTH 20 POINTS!!!
Answer; Carlos would be 72 inches tall
Step-by-step explanation:
because 1 foot = 12 inches . and he is 6 feet tall so 12 x 6 = 72 !
Hey there!
All we need to do is multiply 6 by 12
6 * 12 = 72
Therefore, Carlos is 72 inches tall
Hope this helps you!
God bless ❤️
xXxGolferGirlxXx
Your food bill was $80 at a restaurant.
You left a tip of $16.
What percentage of the food bill did you leave for the tip?
Answer:
20 percent tip
Step-by-step explanation:
Answer: 20% tip (i got the answer for that one right :)! )
based on the pattern in the table what is the value of A
A)-64
B)-12
C)1/16
D)1/64
Answer:
D 1\64 just did it
Step-by-step explanation:
which of the following sets are continuous? Check all that apply
A.[0,100)
B.(-∞,+∞)
C.{3,8,9,11,14}
D.{-19,11}
E.(50,71)
I need help plz hurry
answer B. ( -infinity, +infinity)
Answer:
The correct answer option is B.
Step-by-step explanation:
We are to determine whether which of the given data sets in the answer options are continuous.
For this, we need to know what a continuous data set is.
A data set which have no definite end to its value but keep on continuing.
Here, the data sets given in A, C, D and E have definite starting and ending points.
While B is a continuous set as its values are continuing to infinity.
The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What are the restrictions on the domain of ? u(x) 0 and v(x) 2 x 0 and x cannot be any value for which u(x) 2 x 2 and x cannot be any value for which v(x) 0 u(x) 2 and v(x) 0
Answer:
Third option
x ≠2 and x cannot be any value for which v(x) = 0
Step-by-step explanation:
In this problem we are asked to find the domain of the function
[tex](UoV)(x)[/tex]
We know that [tex](UoV)(x) = U(V(x))[/tex].
We know that:
Domain of U(x) is all real numbers except x = 0
Domain of V(x) is all real numbers except x = 2.
Then the domain of the composite function U(V (x)) is:
all real numbers except x = 2. (since x = 2 does not belong to the domain of V(x) and all values of x for which V(x) = 0 (since x = 0 does not belong to the domain of U(x))
Finally the domain of [tex](UoV)(x)[/tex]) is:
[tex]x \neq 2[/tex] and [tex]V(x) \neq 0[/tex]
Answer:
The answer is C on edge.
Which two types of income does a person in a full-time sales job usually receive?
commission
hourly pay
overtime pay
salary
tips
Answer:
The two types of income are - salary and commission.
Step-by-step explanation:
The two types of income that someone in a full-time sales job usually receives is a salary and commission.
The salary is the base pay that one receives regardless of the sales target they have.
The commission is that extra money that is also called incentive. This is based on the number of items you sell.
The commission can be overall increase in the pay or per item sales based.
Therefore, these two things generate the total income paid to a sales person.
Answer:
a
Step-by-step explanation:
solve using the addition method. what is the x-value of the solution to the system? 2x-3y=-1 3x+4y=24
Answer:
x-value is 4
Step-by-step explanation:
2x-3y=-1
3x+4y=24
We can solve the equation by eliminating y
We multiply the first equation by 4 and the second by 3
4(2x-3y=-1 )
3(3x+4y=24)
8x -12y = -4
9x +12y = 72
Then we add the two equations;
8x -12y = -4
9x +12y = 72
17x = 68
x = 4
Thus the x-value is 4
The linear function y = 7x + 2 represents the cost y, in dollars, of buying x tickets, including a one time service fee. What does the slope represent?
A. the service fee
B. the cost per ticket
C. the number of tickets bought D. the number of tickets bought for $1
I would have to say b cuz 2 is the y intercept x is gernraly the slope
Answer: It's B.
Step-by-step explanation: I just did the quiz
#LarryStylinson #SolbyGolbach
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PLEASE HELP 98 POINTS AND BRAINLIEST
A circular mirror is surrounded by a square metal frame. The radius of the mirror is 4x. The side length of the metal frame is 16x. What is the area of the metal frame?
The area of the frame is ___ square units.
Answer:
256 square units
Step-by-step explanation:
area = side²
14²=256
[tex]Area \: of \: the \: mirror:A_{m}= {r}^{2} \pi = {(4x)}^{2} \pi = 16 {x}^{2} \pi \\ Area \: of \: the \: frame: A_{f} = {a}^{2} = {(16x)}^{2} = 256 {x}^{2} \\ Area \: between \: frame \: and \: mirror:A = A_{f} - A_{m} = 256 {x}^{2} - 16 {x}^{2} \pi = 16 {x}^{2} (16 - \pi)[/tex]
Stefan, a 36 year old male, bought a $150,000, 10 year life insurance policy. Stefan is paid weekly. What is Stefan’s annual premium? Show work.
Answer: did u ever find out the answer?
Step-by-step explanation:
Answer: $682.50
Step-by-step explanation:
The cost for Stefan’s insurance is determined by the row of data for a 36 year old male. A 10-year policy has a cost of $4.55 per thousand dollars of coverage. In order to determine the total cost you need to determine the amount of thousands of coverage, which is $150,000/1,000 = 150. The total annual cost is 150 x $4.55 = $682.50.
Simplify: |-10|
A. 0
B.10
C.-10
D. 1
The absolute value is 10 so
|-10| = B.10
Alexis and Martin helped the school set chairs in rows for an assembly. They put the same number of chairs in each row. Using 92 chairs available, Alexis made 4 rows with 2 chairs left over while Martin made 5 rows with no chairs left over. Write and solve an equation that can be used to find the number of chairs in each row.
4c + 5c = 92 - 2
9c = 90
c = 10
22 chairs were not used in the assembly.
HELP FAST PLEASE 3 QUESTIONS (30 POINTS)
Answer:
[tex]d\geq 5\\\\w<7\\\\a\leq 4[/tex]
Step-by-step explanation:
For each you have to look at three things - the direction of the arrow, if the circle is filled in, and the number the point is located on.
If the arrow is pointed right and the numbers are increasing, you use the greater than sign (>).
If the arrow is pointed left and the numbers are decreasing, you use the less than sign (<).
If the circle is filled in, it means you use the greater than or equal to (≥) less than or equal to signs (≤).
For the first inequality, the arrow is pointing right, the circle is filled in, and the point is on five so the inequality is [tex]d\geq 5[/tex].
For the second inequality, the arrow is pointing left, the circle is not filled in, and the point is on seven so the inequality is [tex]w<7[/tex].
For the third inequality, the arrow is pointing left, the circle is filled in, and the point is on four so the inequality is [tex]a\leq 4[/tex].
Consider these scenarios. 1. A piano weighs 5.5 × 102 units. 2. A grain of salt weighs 1.02 × 10-3 units. 3. A tractor trailer weighs 8.8 × 101 units. Determine the unit of measurement that best represents each scenario. 1. 2. 3.
Answer:
1) pounds
2) grams
3) tons
Step-by-step explanation:
The suitable measurements for the scenarios are:
1) A piano weighs 5.5 × 10² units
550 Ib (pounds)
2) A grain of salt weighs 1.02 × [tex]10^-3[/tex] units
0.00102 grams
3) A tractor trailer weighs 8.8 × [tex]10^1[/tex] units
88 ton
10²g = 1kg
10^-3g = miligrams
10^1 g = decagram
Answer:
pounds, ounces, tons
Step-by-step explanation:
I need help please
How can I do this one ☝️
[tex] \frac{v + 9}{3} = 8[/tex]
[tex]3 \times \frac{v + 9}{3} = 8 \times 3[/tex]
[tex]v + 9 = 24[/tex]
[tex]v = 24 - 9[/tex]
[tex]v = 15[/tex]
Answer: 15
Step-by-step explanation:
8 x 3 = 24
24 - 9 = 15
So, 15 + 9 = 24 divided by 3 = 8
Adrell has four suit jackets (white, blue, green, and tan) and four dress shirts in the same colors. How many different jackets/shirt outfits does Adrell have?
A. How many jacket/shirt outfits does Adrell have?
B. Suppose he grabs a suit jacket and a dress shirt without looking. What is the probability that they will not be the same color?
Answer:
A=4, B=3/4
Step-by-step explanation:
it says that she has four suit jackets, and since there are 16 possibilities(4 x 4)
and 4 of them have the same colors, we do 16-4/16, which is 12/16, and we simplify that to 3/4
Final answer:
Adrell has 16 different jacket/shirt outfits and there is a 75% probability that the jacket and shirt will not be the same color.
Explanation:
Adrell has four suit jackets (white, blue, green, and tan) and four dress shirts in the same colors. To find the number of different jacket/shirt outfits, we multiply the number of options for the jacket by the number of options for the shirt. Since there are 4 options for the jacket and 4 options for the shirt, there are a total of 16 different jacket/shirt outfits.
If Adrell grabs a suit jacket and a dress shirt without looking, the probability that they will not be the same color can be found by calculating the number of favorable outcomes (jacket and shirt of different colors) divided by the total number of possible outcomes. Since there are 4 jackets and 4 shirts, the total number of possible outcomes is 4 * 4 = 16. The number of favorable outcomes is when the jacket and shirt are of different colors, which is 4 * 3 = 12. Therefore, the probability that the jacket and shirt will not be the same color is 12/16 = 3/4 or 75%.
Solve H^2-2h- 2=0 and round answer to the nearest hundredth
Answer:
h1=2.75 and h2=-0,75
Step-by-step explanation:
You need to use the cuadratic formula for this case (see apex)
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