Answer:
Just add me and let's our journey begins :3
Step-by-step explanation:
Just add me and let's our journey begins :3
(Brainliest will be given :D) (Please help, with hints!) The floor plan of an office was drawn using a scale of 1 inch = 4 feet.
The reception area on the floor plan is 3 inches by 5 inches.
What are the dimensions of the reception area?
HINT: Write and solve a proportion comparing the scale of 1 inch = 4 feet to each of the dimensions of the reception area of the floor plan (one for 3 inches and one for 5 inches).
Using proportions, it is found that the dimensions of the reception area of of 12 feet by 20 feet.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the scale factor is of 1 inch = 4 feet, meaning that each inch on the drawing represents a dimension of 4 feet.
The drawing is of 3 inches by 5 inches, hence the real dimensions are given by;
3 x 4 = 12 feet.5 x 4 = 20 feet.More can be learned about proportions at https://brainly.com/question/24372153
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Let $a_1, a_2, a_3, \dots$ be a non-constant arithmetic sequence. Suppose that $a_4, a_7, a_{12}$ form a geometric sequence. If $a_7 = 30$, what is $a_1$?
The terms a1, a2 and a3 do not have a common difference, and the value of a1 in the geometric sequence is 10/9
How to determine the value of the first term?The arithmetic sequence is given as:
a₁, a₂ and a₃
The geometric sequence is given as:
a₄, a₇ and a₁₂
The common ratio of a geometric sequence is:
[tex]r = \frac{T_2}{T_1}[/tex]
So,we have:
[tex]\frac{a_7}{a_4} = \frac{a_{12}}{a_7}[/tex]
Cross multiply
[tex]a_{12} * a_4 = a_7 * a_7[/tex]
Given that a7 = 30, the equation becomes
[tex]a_{12} * a_4 = 30 * 30[/tex]
Evaluate the product
[tex]a_{12} * a_4 = 900[/tex]
Rewrite as:
[tex]a_{4} * a_{12} = 900[/tex]
Express 900 as 10 * 90
[tex]a_{4} * a_{12} = 10 * 90[/tex]
By comparison, we have:
a₄ = 10 and a₁₂ = 90
This means that the geometric sequence is:
10, 30, 90 ---- it has a common ratio of 3
The nth term of a geometric sequence is:
[tex]a_n = ar^{n-1}[/tex]
So, we have:
[tex]a_7 = ar^6[/tex]
[tex]a_4 = ar^3[/tex]
Substitute values for a7 and 14
[tex]ar^6 = 30[/tex]
[tex]ar^4 = 10[/tex]
Divide both equations
[tex]r^2 = 3[/tex]
Take the cube of both sides
[tex]r^6 = 27[/tex]
Substitute [tex]r^6 = 27[/tex] in [tex]ar^6 = 30[/tex]
[tex]a * 27 = 30[/tex]
Divide both sides by 27
[tex]a = \frac{10}{9}[/tex]
Hence, the value of a1 in the geometric sequence is 10/9
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15
67°
X
Find the missing side in the following and round to nearest tenth
Because this is a right triangle, we can use a trigonometric function to solve for the missing side.
Remember: SOH-CAH-TOA
We are given an angle, as well as the adjacent side and hypotenuse. Therefore, we should use the cosine function to solve for x.
cos(67) = x / 15
x = cos(67) * 15
x = 5.9
Answer: 5.9
Hope this helps!
wich one is a Line of Symmetry with a line going up and down called
a.Horizontal Line of Symmetry
b.Vertical Line of Symmetry
c.Diagonal Line of Symmetry
Your answer is B.
Vertical goes straight up and down.
Horizontal lines go side to side
A diagonal line is slanted.
What number is b?
b +4= 10
Answer:
6
Step-by-step explanation:
b+4=10
-4 .-4
b=6
Answer:
b= 6
Step-by-step explanation:
subtract the answer (10) by the remaining 4, (so 10-4) which equals 6
1. What is the volume of the cone? (Use 3.14 for *)
904.8 cubic feet
226.2 cubic feet
75.4 cubic feet
301.6 cubic feet
Answer:
C) 75.36 cubic feet
Step-by-step explanation:
Volume of a cone: ⅓hπr²
Given:
r (radius) = 3 fth (height) = 8 ftπ ≈ 3.14Substitute the given values to find the volume:
V = (⅓)(8)(3.14)(3)²
V = (⅓)(8)(3.14)(9)
V = (⅓)(226.08)
V = 75.4 ft³ (nearest tenth)
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Please answer as soon as possible as i need the answer fast
Answer:
[tex]\sf \dfrac{1}{4}[/tex]
Step-by-step explanation:
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
From inspection of the diagram:
Total number of pawns = 16Total number of squares = 64[tex]\implies \textsf{P(landing on a pawn)} \sf = \dfrac{\textsf{Total number of pawns}}{\textsf{Total number of squares}}[/tex]
[tex]\implies \textsf{P(landing on a pawn)} \sf = \dfrac{16}{64}=\dfrac{1}{4}[/tex]
[tex]\sf probability : \bf 0.25[/tex]
Step-by-step explanation:The dimensions of a chess board is (8 × 8)There are 64 squares on a chess board.There are 8 black pawns and 8 white pawns.Total pawns in a chess board: (8 + 8) = 16 pawns on 16 squares.[tex]\sf Probability = \dfrac{favorable \ outcomes}{total \ outcomes}[/tex]
[tex]\dashrightarrow \ \sf probability : \ \bf \dfrac{16}{64}[/tex]
[tex]\dashrightarrow \ \sf probability : \ \bf \dfrac{1}{4} \ \ \approx \ \ 0.25 \ \ (as \ a \ decimal)[/tex]
a lion gamer spent a total of 400$. the circle graph shows what percent was spent on each item. find the amount spent on a.costume b.chairs c. whips
B. chair no costume also whips
(06.01 LC) A scatter plot is shown. 10 9 8 7 6 5 4 3 2. 0 1 2 3 4 5 6 7 8 9 10 How many outliers does the graph show? (1 point) 01 02 03 4
Answer:
2 outliers
Step-by-step explanation:
(1,9) and (10,7) both are outliers.
There are 2 outliers in the given scatter plot. Therefore, option B is the correct answer.
What does outliers mean in scatter plots?An outlier is a data point that does not fit the rest of the data. It lies outside of a cluster and does not follow the same pattern. Scatter plots can have many outliers, just one outlier, or no outliers.
From the given graph, we can see that coordinates (1, 9) and (10, 7) are not in the cluster.
These two points lies out side the cluster, so these points are outliers.
Therefore, option B is the correct answer.
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Aline has a slope of 6 and includes the points (-9, 0) and (-8, a). What is the value of a?
Submit
Please help
Answer:
a = 6
Step-by-step explanation:
Given information:
Slope = 6
Coordinates: (-9, 0) and (-8, a)
Slope formula = y2 - y1 / x2 - x1
Substitute the given values into the formula.
6 = a - 0 / -8 - (-9)
6 = a - 0 / 1
6 = a - 0
a = 6
hope this helps!! p.s. i really need brainliest :)
Rick's savings account has a balance of $5000. If he does not make a
withdrawal or deposit, how much money will be in Rick's account if it pays an
annual interest rate of 6% for 8 years compounded quarterly?
Answer:
$8,051.62
Step-by-step explanation:
Compound interest formula
[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]
where:
A = final amountP = principalr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $5000r = 6% = 0.06n = 4t = 8Substituting given values into the formula:
[tex]\implies \sf A=5000(1+\frac{0.06}{4})^{4 \times 8}[/tex]
[tex]\implies \sf A=5000(1.015)^{32}[/tex]
[tex]\implies \sf A=8051.62\:(nearest\:hundredth)[/tex]
Rate of interest
0.06/4=0.015So
Compound ineterest formula to be used
A=P(1+r)^tA=5000(1+0.015)⁴×⁸A=5000(1.015)³²A=$8051.6The composite figure shown is made up of 2 triangular prisms and one rectangular prism. If the area of each triangle base of the triangular prisms has an area of 24 m2, what is the total surface area of the composite figure? 120 m2 160 m2 760 m2 1,152 m2
The area of the composite figure is 1152 square meters
Complete QuestionA rectangular prism and 2 triangular prisms. The rectangular prism has a length of 20 meters, width of 6 meters, and height of 8 meters. The triangular prisms each have 2 triangular sides with a base of 6 meters and height of 8 meters. The rectangular sides are 20 meters by 6 meters, 20 meters by 10 meters, and 20 meters by 8 meters.
The composite figure shown is made up of 2 triangular prisms and one rectangular prism. If the area of each triangle base of the triangular prisms has an area of 24 m2, what is the total surface area of the composite figure?
How to determine the surface area?The given parameters are:
Rectangular prism :
Length = 20 meters; Width = 6 meters; Height = 8 meters
Triangular prism :
Triangular sides (2): Base = 6 meters; Height = 8 metersRectangular sides: 20 meters by 6 meters, 20 meters by 10 meters, and 20 meters by 8 meters.Base Area = 24 square meters:The area of the rectangular prism is:
Area = 2 * (Length * Width + Length * Height + Width * Height)
So, we have:
Area = 2 * (20 * 6 + 20 * 8 + 6 * 8)
Area = 656
The area of the triangular prism is:
Area = 2 * Base Area + Areas of Rectangular sides
So, we have:
Area = 2 * 24 + (20 * 6 + 20 * 10 + 20 * 8)
Area = 528
The common area between the prisms is:
Common area = 8 * 4
Common area = 32
Subtract the common area from the sum of the areas of the triangular prism and the rectangular prism to get the area of the composite figure
Composite figure = 656 + 528 - 32
Evaluate the sum
Composite figure = 1152
Hence, the area of the composite figure is 1152 square meters
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Answer: D, 1152 m2
Step-by-step explanation: I got it correct
What is the inverse of the function below?
f(x) = 3^x
---
OA 1-1(x) = logg
.
B. -() = log, 3
c. 1-2(1) = 3log(7)
D. 12() = log(31)
Original: y = 3^x
---To find the inverse, switch the x and y, then solve for y.
Inverse: x = 3^y
---Take the log base 3 of both sides to get y by itself
Answer: [tex]log_{3}(x) = y[/tex]
[tex]y = log_{3}(x)[/tex]
Hope this helps!
shawn is shoppping for a rug for his dinning room. the rectangular sug he likes measures 5 feat by 7 feet. what is the area of the rug?
Answer:
35 square feet
Step-by-step explanation:
Area of the rug :
Length x width7 x 535 square feetCan you match the teacher's comments to the definitions?
Answer:
Daniel =Were you thinking of perpendicular lines?
Oris= It seems like you've got the basic idea, but your definition could be more precise.
Kaoris= Yes well done...
Write the expressions for (f x g) (x) and evaluate (f-g) (4)
The product and the sum of the functions will be 3x² - 6x - 24 and 4x + 2. The value of the function (f - g) at x = 4 is negative 18.
What is a function?In mathematics, functions are everywhere and are necessary for constructing physical connections. A function is a statement, rule, or law that establishes the connection between two variables.
The functions are given below.
f(x) = x - 4
g(x) = 3x + 6
Then the product of the functions will be
(f × g)(x) = (x - 4)(3x + 6)
(f × g)(x) = 3x² -12x + 6x - 24
(f × g)(x) = 3x² - 6x - 24
Then the sum of the functions will be
(f + g)(x) = x - 4 + 3x + 6
(f + g)(x) = 4x + 2
Then the difference in the functions at x = 4 will be
(f - g)(4) = (x - 4) - (3x + 6)
(f - g)(4) = x - 4 - 3x - 6
(f - g)(4) = -2x - 10
(f - g)(4) = -2 (4) - 10
(f - g)(4) = -8 -10
(f - g)(4) = -18
More about the function link is given below.
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find the greatest common factor of 21 35 70
Answer:
7
Step-by-step explanation:
21 = 3 x 7
35 = 7 x 5
70 = 2 x 5 x 7
The greatest common factor of 21, 35 and 70 is 7.
Note : -
The greatest common factor ( GCF ) of a set of numbers is the largest factor that all the numbers share.
Compare 4 and -2. Which of the following is true?
Answer:
Your answer is A.
Step-by-step explanation:
Absolute values of any number are positive.
|4| = 2
|-2| = 2
2 = 2 and 4 > -2
C and D can be true, but they are not since less than or greater than doesn't apply if they were less than/greater than or equal, then yes.
what is the value of x for 3x^2 - x + 9 = 0
Correct option is A)
Consider the given equation,
3
2x
+10.3
x
−9=0
Let ,y=3
x
Now ,
y
2
−10y+9=0
y
2
−9y−y+9=0
y(y−9)−1(y−9)=0
(y−9)(y−1)=0
When,
x−9=0
x=9
Now ,
9=3
x
3
2
=3
x
x=2
When,
y−1=0
y=1
3
x
=1
3
x
=3
0
x=0
x=0,x=2
This is the answer
Guys please help me I'll give more points to whoever is corretc
What is the area of this figure?
Assuming Earth to be a sphere of radius 4000 miles, how many miles north of the Equator is City A, if it is 36° north from the Equator?
Answer:
2513 miles
Explanation:
[tex]\sf Length \ of \ arc = \dfrac{\theta}{360} * 2\pi r[/tex]
Here given:
∅ = 36°
radius = 4000 miles
Insert following:
[tex]\sf \rightarrow \dfrac{36}{360} * 2\pi (4000)[/tex]
[tex]\sf \rightarrow 800\pi \ \ \ (in \ terms \ of \ \pi )[/tex]
[tex]\sf \rightarrow 2513.3 \ \ (rounded \ to \ nearest \ tenth)[/tex]
[tex]\sf \rightarrow 2513 \ \ (rounded \ to \ nearest \ mile)[/tex]
Someone please help me answer my questions I’m very confused!!
Answer:
The answer to ur question is C
Determine the x coordinate of the center of a circle if its diameter's endpoints are located at (7,-2) and (9,5).
Answer:
(2,8)
Step-by-step explanation:
A triangle has sides with lengths of 5 kilometers, 12 kilometers, and 13 kilometers. Is it a
right triangle?
Answer:
Yes
Step-by-step explanation:
Because when you draw it u get a right angle
a. Lily paid $6 for 3/8 lb of nuts.
What is the unit rate as complex fraction (simplify)
Answer:
Ib = $16 per lb
Step-by-step explanation:
PLS HELP ME
Congruent yes or no
Congruent? _______
If so, what property? ________
Congruent yes or no
Congruent? _______
If so, what property? ________
Congruent yes or no
Congruent? _______
If so, what property? ________
Congruent yes or no
Congruent? _______
If so, what property? ________
Answer:
First picture: SAS and not existent, so not congruent
Second picture: AAA does not exist, so not congruent
Third picture: SAS for both (yes)
Forth picture: AAS for both (yes)
Step-by-step explanation:
Sorry for no long explanation, but if you have any specific questions, feel free to ask in the comments
Hope this helps! If you found my answer helpful, please consider marking me brainliest. Thank you!
Meg buys 42 tulip bulbs. She plants 18 bulbs in her front yard. She plants the rest of the
bulbs in 6 pots. Meg plants the same number of bulbs in each pot.
How many bulbs are in each pot?
Answer:
4 bulbs
Step-by-step explanation:
Graph the inequality x < - 10/3
Answer:
Picture Below :)
Step-by-step explanation:
*ta da*
- Have a great day -
anyone? giving brainliest to correct answer
Answer:
im not really sure what that means im so sorry
Step-by-step explanation:
write 615000 in scientific notation
Answer:
6.15 × 10⁵
Step-by-step explanation:
When converting a number of scientific notation, we need to move the decimal point until the number is greater than 1 and less than 10, then multiply this by 10 to the power of the number of places we moved the decimal point (negative when moving it forwards, positive when moving it backwards).
Therefore, 615000 = 6.15 × 10⁵
