Answer:
374.12
Step-by-step explanation:
A=33
2a2=3·3
2·122≈374.12297
To solve this problem, we will use the fact that if two polygons are similar, the ratio of their areas is equal to the square of the ratio of their corresponding sides.
Let's start by identifying the given information:
1. The ratio of the sides of the two similar hexagons is 1:3.
2. The area of the smaller hexagon is 12 square inches.
We are asked to find the area of the larger hexagon.
Now, since the ratio of the sides of the two hexagons is 1:3, the square of this ratio will tell us the ratio of the areas of the two hexagons. So we must square the side ratio to get the area ratio:
Ratio of sides of hexagons = 1 : 3
Ratio of areas of hexagons = (1^2) : (3^2) = 1 : 9
This means that the area of the larger hexagon is 9 times larger than the area of the smaller hexagon. Now we can find the area of the larger hexagon by multiplying the area of the smaller hexagon by 9:
Area of larger hexagon = Area of smaller hexagon * 9
= 12 in² * 9
= 108 in²
Therefore, the area of the larger hexagon is 108 square inches.
What is the period of the graphed function?
A. π
B. 0.75
C. 2 π
D. π/2
E. -0.75
Answer:
A. π
Step-by-step explanation:
this is a graph of a cosine function and and the interval during which it completes one cycle starting from the origin, according to the graph is π
Can someone please help me on my math homework
The solution is attached below
ray is 3 years older than half his sosters age if ray is 10 years old how old is his sister
Answer:
14 years old
Step-by-step explanation:
Assume Ray's sister's age is x.
Ray's age is (x/2)+3, i.e (x+6)/2
If Ray is 10yrs old,then
(X+6)/2 = 10,
x+6 = 20
x = 14
Therefore,Ray's siSter's /e is 14years
Plz help me with this
Answer: d) y = -2 sin 2x
Step-by-step explanation:
The general equation of a sin graph is: y = A sin (Bx - C) + D
Compare the given graph with y = sin x
There are 3 differences:
the amplitude of the new graph is 2 (A = 2)the given graph is reflected over the x-axis (A is negative)the period changed from 2π to π (B = 2)So, the equation of the given graph is: y = -2 sin 2x
Which data set COULD NOT be represented by the box plot shown?
A) {9, 8, 9, 6, 12, 10, 13}
B) {14, 8, 12, 10, 9, 12, 4}
C) {4, 9, 8, 11, 10, 12, 14}
D) {4, 8, 8, 11, 10, 12, 14}
Answer:
C) {4, 9, 8, 11, 10, 12, 14}
Step-by-step explanation:
Answer:
{9, 8, 9, 6, 12, 10, 13}
Step-by-step explanation:
Write the data in numerical order. Find the first quartile, the median, the third quartile, the minimum (smallest value) and the maximum (largest value).
{6, 8, 9, 9, 10, 12, 13}
Thus,
low -- 6
1st quartile -- 8
median -- 9
3rd quartile -- 12
high -- 13
Therefore, this data does not match the graph.
What is the volume of the cone with radius 4 feet in height 10 feet round to the nearest cubic foot
Answer:
168 cubic feet.
Step-by-step explanation:
Equation for volume of cone 1/3*pi*r2*h (abbreviated as 1/3*b*h)
1/3*pi*4^2*10
=1/3*pi*16*10
=1/3*pi*160
=167.551608191
~=168 cubic feet.
~= is approximately, rounded.
The volume of the cube is 168 cubic feet.
Given information:radius 4 feet in height 10 feet
Calculation of volume of cone:Since the volume of a cone is
[tex]= 1\div 3\times \pi\times r^2\times h\\\\= 1\div 3\times \pi\times 4^2\times 10\\\\=1\div 3\times pi\times 16\times 10\\\\=1\div 3\times \pi\times 160[/tex]
=167.55
= 168 cubic feet.
Learn more about the cone here: https://brainly.com/question/864985
Which is a possible expression for the series
-7+12-17+22-27
Answer:
∑5n=(−1)^n(2+5n)
Hope this helps you out!
help me thx if u do <3 :3
Answer:
The answer is x=40
Step-by-step explanation:
Answer:
It's x = 40 that's correct.
In this case, we're looking for a number that is higher than 10. We can't say 29, 37 or 47 but 40
Step by step explanation:
x / 4 > 10
Carry over the 4 and you'll get 4 × 10 -> x = 4 × 10 = 40
Therefore x = 40
While drying, apple loses 14% of its weight. How many pounds of fresh apple is needed to get 10 8/25 lbs of dried apple?
Answer:
12lbs
Step-by-step explanation:
let x be the amount of apples you need, then:
x-0.14x= 10 8/25
0.86x = 10 8/25
(10 8/25) : 86 * 100 = x
x=12
Answer:
Total fresh apple needed = 12
Step-by-step explanation:
It is given that, While drying apple loses 14% of its weight
To find the fresh apple needed
Let x be the total fresh apple needed.
Apple loses 14% of its weight. Final we need 10 8/25 lbs of dried apple
x - 14x/100 = 10 8/25
0.86x = 10 8/25
0.86x = 258/25 = 10.32
x = 12
Simplify 1-sin^2 theta/cos^2 theta
Answer:
1.
Step-by-step explanation:
( 1 - sin^2 O ) / cos^2 O
Now 1 - sin^2 O = cos^2 O
So the function becomes cos^2 O / cos^2 O
= 1.
The distance between the points (5, -2) and (-7, 3) is √5 √29 13
the distance is 13 length units
Final answer:
Using the Pythagorean Theorem, we calculate the distance between the points (5, -2) and (-7, 3) to be 13 units.
Explanation:
To find the distance between two points on a coordinate plane, we use the Pythagorean Theorem. Given points (5, -2) and (-7, 3), we calculate the difference in the x-coordinates and y-coordinates separately and then square each result.
d² = (5 - (-7))² + (-2 - 3)²
= (5 + 7)² + (-5)²
= 12² + (-5)²
= 144 + 25
= 169
Now, taking the square root of both sides to calculate the distance:
d = √(169)
= 13
Therefore, the linear distance between the two points, often denoted as 'PQ', is 13 units.
Solve 3^x+1 = 15 for x using the change of base formula log base b of y equals log y over log b
Answer:
x= 1.46497
Step-by-step explanation:
[tex]3^{x+1} = 15[/tex]
To solve this , first we convert the exponential form in to log form
[tex]if \ a^x=b \ then \ log_a(b)=x[/tex]
[tex]3^{x+1} = 15[/tex] becomes [tex]log_3(15)= x+1[/tex]
now we apply change of base formula to remove base 3
[tex]log_b(y)= \frac{log y}{log b}[/tex]
like that log_3(15) becomes
[tex]log_3(15)= \frac{log 15}{log 3}[/tex]
[tex] \frac{log 15}{log 3}= x+1[/tex]
2.46497=x+1
subtract 1 from both sides
x= 1.46497
Answer:
The value of x is 1.46.
Step-by-step explanation:
Given : Equation [tex]3^{x+1}=15[/tex]
To find : Solve for x using the change of base formula log base b of y equals log y over log b ?
Solution :
Equation [tex]3^{x+1}=15[/tex]
Applying the logarithmic property,
[tex]a^x=b\Rightarrow \log_a(b)=x[/tex]
[tex]3^{x+1}=15\Rightarrow \log_3(15)=x+1[/tex]
Applying change base formula in LHS,
[tex]log_b(y)= \frac{log y}{log b}[/tex]
[tex]\frac{log 15}{log 3}=x+1[/tex]
[tex]2.46=x+1[/tex]
[tex]x=2.46-1[/tex]
[tex]x=1.46[/tex]
Therefore, the value of x is 1.46.
the cost of 3 large drinks and 2 small drinks does $21. for $22, you can get 2 large drinks and 4 small drinks. what is the cost of each drink of the size of drinks?
Answer:
The cost of large drinks are $5 and the small drinks are $3
Step-by-step explanation:
5+5+5+3+3=21
(2)5+(4)3)=22
Answer:This answer is not copied
Step-by-step explanation:5+5+5+3+3=21
(2)5+(4)3)=22
The accompanying diagram shows a ramp 30 feet
long leaning against a wall at a construction site.
Wall
If the ramp forms an angle of 32° with the ground,
how high above the ground, to the nearest tenth, is
the top of the ramp?
Using the law of Sin
[tex]\frac{sinA}{a} \frac{sinC}{c}[/tex]
A=32°, a=?
C=90°, c= 30
[tex]\frac{sin32°}{a} = \frac{sin90°}{30}[/tex]
[tex]\frac{30sin32°}{sin90°}[/tex] = 15.89ft
Rounded answer is 15.9 ft
The height should be 15.89 ft.
Given information:The accompanying diagrams hows a ramp 30 feet long leaning against a wall at a construction site. And, the ramp forms an angle of 32°
Calculation of height:Here we applied the law of sin
[tex]sin 32 \div a = sin 90 \div 30\\\\a = 15.89 ft[/tex]
Learn more about the height here: https://brainly.com/question/424967
Brett painted three walls. Each wall was 9 ft tall and 12 ft long. How much wall area did he paint
Answer:
First we need to calculate the are of each wall, since we alredy knew the length (l) and the width (w) which is the height of the wall in this case:
A = wl = 9 . 12 = 108 (ft²)
We also know that he painted 3 walls, we need to multiply our first result by 3, in other words, the area of wall that Brett painted is the sum of the area of three walls: 108 . 3 = 324 (ft²)
Answer:
324 ft^2
Step-by-step explanation:
ok so to calculate the area its A = wl (width x length)
9 x 12 = 108 ft^2
buuuuuut since we have 3 walls were going to have to multiply it by three as cuz 108 ft^2 is the outcome of one wall
108 ft x 3 = 324 ft^2
~batmans wife dun dun dun....
Ben drove 4/7 of the way to his friends house before he stopped to eat lunch if the distance to his friends house was a total of 427 miles how far did Ben drive before Ben stopped to eat lunch
Answer:
He drove 244 miles
Step-by-step explanation:
First multiply 4/7*427/1 and you get 1,708/7
Then convert 1,708/7 to 244/1
And so your answer is 244
Ben drove 244 miles before he stopped for lunch.
What is a Fraction?In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole.
As per the given data:
Ben has already driven 4/7 of the way to his friend's house before he stopped to eat lunch.
The total distance from Ben's house to his friend's house is 427 miles.
We have to find the Ben has already driven before he stopped to eat lunch.
Distance Ben's driven = 4/7 of the total distance
Distance Ben's driven = 4/7 × 427
Distance Ben's driven = 4 × 61 = 244 miles
Ben's already drove 244 miles before he stopped for lunch.
Hence, Ben drove 244 miles before he stopped for lunch.
To learn more on Fraction, click:
brainly.com/question/29264210
#SPJ3
definition of theorem
Answer:
a general proposition not self-evident but proved by a chain of reasoning; a truth established by means of accepted truths.
Step-by-step explanation:
Answer:a general proposition not self-evident but proved by a chain of reasoning; a truth established by means of accepted truth
Step-by-step explanation:
Find AC for question two
Answer:
AC = 5
Step-by-step explanation:
AC is the diagonal of the rectangle ABCD and splits the rectangle into 2 right triangles.
Using right triangle ABC with hypotenuse AC
Applying Pythagoras' theorem gives
AC² = AB² + BC² ← substitute given values
AC² = 4² + 3² = 16 + 9 = 25
Take the square root of both sides
AC = [tex]\sqrt{25}[/tex] = 5
5b-7b=?
[tex]5x - 7x[/tex]
Answer:
Step-by-step explanation:
Whether you use b or x for the variable does not matter.
5 - 7 is a money problem
If you have 5 dollars and spend 7 where are you? You should think you have a debt of 2. So the answer from your point is - 2
5b - 7b = - 2b
5x - 7x = - 2x
What is the approximate area of the shaded sector in the circle shown below?
ANSWER
A. 17.31in²
EXPLANATION
The area of a sector is calculated using the formula:
[tex]Area = \frac{central \: angle}{360 \degree} \times \pi {r}^{2} [/tex]
From the diagram, the central angle is:
145° and the radius is 3.7 in.
We substitute the known values to get;
[tex]Area = \frac{145}{360 \degree} \times 3.14 \times {3 .7}^{2} = 17.3{in}^{2} [/tex]
The approximate area is 17.3 in² to the nearest tenth.
PLEASE HELPPP
Solve for x.
x exponent 3 = 27/64
Enter your answer in the box
x=
Answer:
x= 3/4
Step-by-step explanation:
x^3 = 27/64
x= (3 is the exponent of the squared root √ (27/64)
x=3/4
The measure of the major arc is found by calculating the circumference of the entire circle 2πr and then using the proportion that the angle of the major arc represents out of 360 degrees.
Explanation:The measure of the major arc in a circle depends on the angle subtended by the arc at the center of the circle. If we define the angle Θ (theta) in degrees, that subtend the arc, the length of the major arc can be found by using the circumference of the entire circle, which is 2πr (where r is the radius), and the proportion of the circle that the major arc represents. Since the entire circle is 360 degrees, if the major arc corresponds to an angle Α, which is the complement of Θ (since Α + Θ = 360 degrees for the minor and major arcs together), the major arc length will be 2πr (Α/360). To summarize, if you're given the central angle of the minor arc or can otherwise determine the central angle for the major arc, you can use this proportion to calculate the arc length.
PLZ HELP ME FAST HURRY
Answer:
Power: (1/5)^3, 2^6
Expanded: 5x5, 6x6x6, 3x3x3/4, 2x2x2x2x2x2
How to say it: 5 raised to the 2nd power, 6 raised to the 3rd power, 3 raised to the 3rd power over 4
Value: 25, 216, 1/125, 9/4, 64
Step-by-step explanation:
What is the messure of angle 4
Answer:
m∠4 = 40°
Step-by-step explanation:
Using the vertical angle theorem we can find that...
m∠6 ≅ m∠7
[tex]11x+8=12x-4 \\ \\ x=12[/tex]
[tex]11(12)+8 \\ 132+8 \\ 140[/tex]
Using this, we know that angle 6 and 8 are supplementary so...
m∠6 + m∠8 = 180°
140° + m∠8 = 180°
m∠8 = 40°
Then, we can use the corresponding angle theorem to find that...
m∠8 ≅ m∠4
m∠4 = 40°
the measure of angle 4 is 40
What is the answer for this question this math question
A (2, -3/2) baisicly it is is a line and it is vertical so this one is more easy.
Answer:
I believe its A.
Step-by-step explanation:
Please help
a14=
1
2
5
ANSWER
[tex]a_{14} = 5[/tex]
EXPLANATION
The given matrix is a 4 by 4 matrix.
We want to find
[tex]a_{14}[/tex]
This is the entry in Row 1 Column 4.
We trace row 1 Column 4 and identify the entry in their intersection.
This entry is 5
[tex]a_{14} = 5[/tex]
What is the value of x in the equation 2(6x+4)-6+2x=3(4x+3)+1?
1
3
4
6
Here is the process I did:
2(6x+4)-6+2x=3(4x+3)+1
Step 1: Distribute the 2 to the numbers in the parentheses (6x +4) on the left side of the equation
6x(2)+4(2)-6+2x=3(4x+3)+1
12x+8-6+2x=3(4x+3)+1
Step 2: On the left side of the equation combine like terms
x's go with x's (12x and 2x):
(12x + 2x)+8-6=3(4x+3)+1
14x+8-6=3(4x+3)+1
normal numbers go with normal numbers ( 8 and -6):
14x+(8+(-6))=3(4x+3)+1
14x+2=3(4x+3)+1
Step 3: Distribute the 3 to the numbers in the parentheses (4x+3) on the right side of the equation
14x+2=4x(3) +3(3) + 1
14x+2=12x + 9 + 1
Step 4: On the right side of the equation combine like terms
normal numbers go with normal numbers ( 9 and 1):
14x+2=12x + (9 + 1)
14x+2=12x + 10
Step 5: Bring 2 from the left side to the right by subtracting it to both sides
14x+(2-2)=12x + (10-2)
14x = 12x + 8
Step 6: Bring 12x from the right side to the left by subtracting it to both sides
(14x - 12x) = (12x - 12x) + 8
2x = 8
Step 7: Isolate x by dividing 2 to both sides
[tex]\frac{2x}{2} =\frac{8}{2}[/tex]
x = 4
Hope this helped!
Given equation is one degree equation in x
Also it has only one variable 'x' hence it requires only one equation to solve for x and the equation is given.
hence solution for x can be given as
2(6x+4)-6+2x =3(4x+3)+1
12x + 8 - 6 +2x = 12x + 9 + 1
12x +2 +2x =12x + 10
14x +2 = 12x +10
14x-12x = 10-2
2x = 8
x = 8/2= 4
for more information please refer to the link given below
https://brainly.com/question/1640242
jordan is making a model of Mount Saint Helens for a science project. The height of the actual volcano is about 2,500 meters. She uses a scale of 250 meters equals one centimeter. What is the height of the volcano in Jordan's model?
Answer: 10 centimeters
Step-by-step explanation:
Answer: 80.0 cm^2
Step-by-step explanation:
We need to assume that the shape of the model is a cone or pyramid, something that tapers linearly to a point. Then its volume is given by the formula ...
V = 1/3Bh
where B is the area of the base, and h is the height. Filling in the given numbers, we have ...
586.7 = (1/3)B(22)
Dividing by the coefficient of B gives ...
B = 3(586.7)/22 = 80.0 . . . cm^2
The area of the base of the model is about 80.0 cm^2.
The ratio of 42cm to 3m
Answer:
7:50
Step-by-step explanation:
We need both measures in the same units. Let's convert meters to cm.
1 m = 100 cm, so 3 m = 300 cm
Now we write the ratio and reduce it.
42 cm to 3 m =
= 42 cm to 300 cm
= 42:300
= 14:100
= 7:50
To find the letters
Answer:1, -1,3,-7
Step-by-step explanation:
For this case we must subtract the given matrices and find the values of a, b, c and d:
Subtracting term from term we have:[tex]a = 5-4 = 1\\b = 2-1 = 1[/tex]
We have that different signs are subtracted and the sign of the major is placed.
[tex]c = 3-6 = -3\\d = 0-7 = -7[/tex]
Answer:
[tex]a = 1\\b = 1\\c = -3\\d = -7[/tex]
(ASAP PICTURE ADDED) What is the simplified form of the following expression?
Answer:
option c is correct.
Step-by-step explanation:
[tex]7\left(\sqrt[3]{2x}\right)-3\left(\sqrt[3]{16x}\right)-3\left(\sqrt[3]{8x}\right)[/tex]
WE need to simplify this equation.
Solve the parenthesis of each term.
[tex]=7\left\sqrt[3]{2x}\right-3\left\sqrt[3]{16x}\right-3\left\sqrt[3]{8x}\right[/tex]
Now, We will find factors of the terms inside the square root
factors of 2: 2
factors of 16 : 2x2x2x2
factors of 8: 2x2x2
Putting these values in our equation:[tex]=7\left(\sqrt[3]{2x}\right)-3\left(\sqrt[3]{2X2X2X2 x}\right)-3\left(\sqrt[3]{2X2X2 x}\right)\\=7\left(\sqrt[3]{2x}\right)-3\left(\sqrt[3]{2X2X2} \sqrt[3] {2 x}\right)-3\left(\sqrt[3]{2X2X2} \sqrt[3]{x}\right)\\=7\left(\sqrt[3]{2x}\right)-3\left(\sqrt[3]{2^3} \sqrt[3] {2 x}\right)-3\left(\sqrt[3]{2^3} \sqrt[3]{x}\right)\\=7\left(\sqrt[3]{2x}\right)-3*2\left(\sqrt[3] {2 x}\right)-3*2\left(\sqrt[3]{x}\right)\\=7\left(\sqrt[3]{2}\sqrt[3]{x}\right)-6\left(\sqrt[3] {2}\sqrt[3]{x})-6\left(\sqrt[3]{x}\right)[/tex]
Adding like terms we get:
[tex]=7\left(\sqrt[3]{2}\sqrt[3]{x}\right)-6\left(\sqrt[3] {2}\sqrt[3]{x})-6\left(\sqrt[3]{x}\right\\=(\sqrt[3] {2}\sqrt[3]{x})-6\left(\sqrt[3]{x}\right)\\[/tex]
[tex](\sqrt[3] {2}\sqrt[3]{x})-6\left(\sqrt[3]{x}\right)\\can\,\,be \,\, written\,\, as\,\,\\(\sqrt[3] {2x})-6\left(\sqrt[3]{x}\right)[/tex]
So, option c is correct
What that person said so basically C