pls help with this maths question... feels like I'm missing something easy ;/
Answers
Answer:
10.34 cm.
Step-by-step explanation:
First we need to calculate the angle between the hour and minute hand
We see that there are 5 * 5-minute intervals between the 2 hands and the clock has 12 * 5-minute intervals, so:
This is 5/12 * 360 = 150 degrees,
So we apply the Cosine Rule to the triangle:
x^2 = 4.5^2 + 6.2^2 - 2*4.5*6.2cos150
= 107.014
x = √107.14 = 10.34.
Missing length is 10.3cm to 1.d.p
The clock is a circle divided into 12
360/12=30 degrees for each part
1) 7 to 8
2) 8 to 9
3) 9 to 10
4) 10 to 11
5) 11 to 12
5 parts
30 x 5 = 150 degrees
We've got an angle between 2 lengths - cosine rule comes to mind for me.
a = root 6.2^2 + 4.5^2 - 2x6.2 4.5 x cos 150
= 10.34476764
length is 10.3cm to 1.d.p
(the others are to 1.d.p too)
Hope this helps!
Related Questions
A triangle has side lengths of (7x - 4) centimeters, (x + 3) centimeters, and
-
(3y + 2) centimeters. Which expression represents the perimeter, in centimeters, of
the triangle?
Answers
Answer:
Step-by-step explanation:
Formula
P = s1 + s2 + s3
Givens
s1 = 7x - 4
s2 = x + 3
s3 = 3y + 2
Solution
P = 7x - 4 + x+3 + 3y + 2
P = 8x + 3y + 3 + 2 - 4
Answer
P = 8x + 3y + 1
Note: I can't read the choices well enough to tell which answer it is. To me, it looks like A
pls help this is on edge
Answers
Step-by-step explanation:
Btw The one on the upper right hand side is Right angle
Answer:
The answer is the image.
Step-by-step explanation:
Sorry for messy writing.
What is the mean of this set: (2, 6, 7, 9, 9, 9}? O 6 O 7 8 9What is the mean of this set: (2, 6, 7, 9, 9, 9)? O 6 O 7 C 8 C 9
Answers
The ratio of the sum of the values of a data set to the total number of values in the data set is that data set's mean.The mean of the considered data set (2, 6, 7, 9, 9, 9) is given by: Option B: 7
How to find the mean of a data set?Mean is the ratio of the sum of the values of the data set to the total number of values available in the data set.
Thus, we get;
[tex]\rm Mean = \dfrac{\text{Sum of the observations of the data set}}{\text{Total number of observations}}[/tex]
For this case, we're given the data set 2, 6, 7, 9, 9, 9
There are total 6 observations in this data set.
The sum of these observations is:
2+6+7+9+9+9 =42
Thus, we get:
[tex]\rm Mean = \dfrac{\text{Sum of the observations of the data set}}{\text{Total number of observations}} = \dfrac{42}{6} = 7[/tex]
Thus, the ratio of the sum of the values of a data set to the total number of values in the data set is that data set's mean.The mean of the considered data set (2, 6, 7, 9, 9, 9) is given by: Option B: 7
Learn more about mean here:
https://brainly.com/question/16118626
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Answer:
b. 7
Step-by-step explanation:
How are bitcoin hashes made?
Answers
I ate of a box of donuts. My friend ate 1/3 more than I did. What fraction of the box of donuts did we eat in all? i will give brainless!
Answers
Answer:
2 1/3
Step-by-step explanation:
if you ate a whole box, (1) and your friend ate 1/3 MORE than you, it would be: 1 + 1 1/3. hope this helped :)
PLS HELP! This is due soon!!
Answers
Answer:
Step-by-step explanation:
( x' , y' ) = ( x + 0 , y - 3 ) ⇒ ( x , y ) = ( x' + 0 , y' + 3 )
E( - 4 , - 3 )
F( - 3 , 1 )
G( - 1 , - 2 )
H( 1 , 3 )
Find the equation for a polynomial f(x) that satisfies the following:
Degrees 3
Zero at x 4
Zero at x -3
Zero at x -4
Y intercept (0,8)
Answers
Answer:
f(x) = 1/2(4 - x)(x - 1)(x - 2)
Step-by-step explanation:
Considering zero's and a coefficient, the function is:
f(x) = a(x - 4)(x - 1)(x - 2)
Considering y-intercept:
f(0) = a(0 - 4)(0 - 1)(0 - 2)
4 = a(-4)(-1)(-2)
4 = -8a
a = -1/2
So the function is:
f(x) = -1/2(x - 4)(x - 1)(x - 2) = 1/2(4 - x)(x - 1)(x - 2)
Match the numbers in column one with the square roots in column two
Answers
Answer:
1..c
2..h
3..g
4..e
5..b
6..d
7..a
The graph of the revenue function f(x) = -0.07x² +3.5x
is used to determine revenue in hundreds of thousands
of dollars, where revenue depends on the number of
thousands of items sold, x.
y
60
-50
8
-10
40
30
20
10
10 20
30
40
50
X
60
How do the mathematical domain and reasonable
domain compare?
O mathematical:-00
O mathematical:-00
O mathematical: 0
mathematical: 0
O
8
Answers
Answer:B
its B on edg 2022
Step-by-step explanation:
what is the value of x? x°-4 100° 3x°
Answers
Answer:
x = 21
Step-by-step explanation:
The sum of interiro angles in atriangle is equal to 180:
x - 4 + 100 + 3x = 180 add like terms
4x + 96 = 180 subtract 96 from both sides
4x = 84 divide both sides by 4
x = 21
Answer:
The answer is x = 21.
Step-by-step explanation:
Which one is the correct answer, a b c d
Answers
[tex]g(f(x))=\sqrt{\frac{2301+100x^2}{23+x^2} }[/tex]
Step-by-step explanation:[tex]Substitute\ and\ calculate:\\ \downarrow\\ g(f(x))=\sqrt{\frac{2301+100x^2}{23+x^2} }[/tex]
I hope this helps you
:)
HELP !!!
Find x, y, and z if
(3x5)^4 x (2x5)^7 = 2x x 3y x 5z.
use the technique shown in photo if possible.
Answers
Answer:
3^9
2^12
5^11
Step-by-step explanation:
if you don't get it I'll be there to help
If f(x) = -4x - 10, what is the
value of f(-6)?
I
Answers
-4(-6) - 10 = 24 - 10 = 14.
The value of f(-6) is 14. Hope this helps.
I need help with this question. Giving points for good answers.
Answers
Answer:
4968
Step-by-step explanation:
4500 x (1-4%) x (0.15 + 1) = 4500 x 0.96 x 1.15
(4500 x 0.96) x 1.15 = 4320 x 1.15
4320 x 1.15 = 4968
Hope this helps!
Ignore the chosen answer mark thing I clicked on it by accident
Answers
Answer:
It's the one you clicked!
Step-by-step explanation:
It is 22.5 or 22 [tex]\frac{1}{2}[/tex]
because
5/2 simplified is 2.5
2.5 x 9 = 22.5
hope this helps :)
. The ratio of the measures of the sides of a
triangle is 4:7:5. If the perimeter of the
triangle is 128 yards, find the length of the
longest side.
Answers
Step-by-step explanation:
4+7+5=16
128:16=8
8*7=56 yards
Ham bought 40 calculators each at £8.20 and a number of other calculators at £2.95each .in all he spent £387 .how many cheaper calculators did he buy ?
Answers
40•8.20=328
387-328=59
59/2.95=20
What is the solution to the linear equation? 4b 6 = 2 – b 4 b = –2 b = 0 b = 4 b = 6
Answers
Linear equations are equation that has a degree of 1. The solution to the given linear equation is 4/5
Solving linear equationLinear equations are equation that has a degree of 1
Given the linear equation expressed as
4b + 6 = 2 - b
Collect the like terms
4b +b = 2- 6
5b = -4
Divide both sides by 5
b = 4/5
Hence the solution to the given linear equation is 4/5
Learn more on linear equation here: https://brainly.com/question/2030026
Answer:
b= 0 (option B)
The high attendance at this year's Vacation Bible School at Highland Church was one hundred
seven children. This was twenty-three less than twice the number that attended last year. How many
children attended last year?
Answers
Answer: 65
Step-by-step explanation:
Given:
This year's attendence = 107
Let last year's attendence = x
Create an equation an solve for x:
2x - 23 = 107
2x = 107 + 23
2x = 130
x = 130/2
x = 65
Therefore, 65 children attended last year's Vacation Bible School
A bag contains 6 red marbles, 2 white marbles, and 1 grey marble. You randomly pick out a marble, records it’s color, and put it back in the bag. You repeat this process 45 times. How many white or grey marbles do you expect to get?
Answers
Answer:
90 white marbles and 45 gray marbles
Step-by-step explanation:
The table of values for quadratic function g is shown below.
g(x)
-2
30
16
O
4
6
30
If 1 Is a solution to g(x) = 0, what is the other
solution?
A
B
C
D
-2
Answers
Answer:
The table of values for a quadratic function g is shown below.x= -3, -2, -1, 0, 2, 3, 4, 6 g(x)= 48, 30, 16, 6, -2, 0, 6, 30 if 1 is a solution ...
1 answer
· 5 votes: try with 6 !!!!!!!!!!!!
Step-by-step explanation:
pls help this is past due and I have no idea on how to do it
Answers
Answer:
42.3
Step-by-step explanation:
Substitute in values[tex]3.6\times (3)+4.5\times (7) = 10.8+31.5=42.3[/tex]I'll give brainly to who can answer these 2 questions and must be correct C:
~Chiena
1- Science is based on the correspondence theory of truth, which claims that truth corresponds with facts and reality.
2- Various philosophers have put forth substantive challenges to the truth claims made by science.
Answers
Answer:
FACT CHECK THE ANSWERS!! they are based of mild research and could be wrong!!))
both questions come back as true from the best of my ability and understanding
Step-by-step explanation:
1) In metaphysics and philosophy of language, the correspondence theory of truth states that the truth or falsity of a statement is determined only by how it relates to the world and whether it accurately describes (i.e., corresponds with) that world.
2) Some philosophers view the concept of truth as basic, and unable to be explained in any terms that are more easily understood than the concept of truth itself. Most commonly, truth is viewed as the correspondence of language or thought to a mind-independent world. This is called the correspondence theory of truth.
both exlanations are snippets from Wikipedia
(x+3)(3x² - 5x - 10) multiply polynomial
Answers
Answer:
[tex]\boxed{\sf{3x^3+4x^2-25x-30}}[/tex]Step-by-step explanation:
[tex]\underline{\text{SOLUTION:}}[/tex]
To isolate the term of x from one side of the equation, you must multiply by a polynomial.
[tex]\underline{\text{GIVEN:}}[/tex]
[tex]:\Longrightarrow: \sf{(x+3)(3x^2 - 5x - 10)}[/tex]
You have to solve with parentheses first.
[tex]:\Longrightarrow \sf{x\cdot \:3x^2+x\left(-5x\right)+x\left(-10\right)+3\cdot \:3x^2+3\left(-5x\right)+3\left(-10\right)}[/tex]
Solve.
[tex]\sf{x*3x=3x^3}[/tex]
x(-5x)=-5x²
[tex]\sf{x(-10)=-10x}[/tex]
3*3x²=9x²
3(-5x)=-15x
3(-10)=-30
Then, rewrite the problem down.
[tex]\sf{3x^3-5x^2-10x+9x^2-15x-30}[/tex]
Combine like terms.
[tex]\Longrightarrow: \sf{3x^3-5x^2+9x^2-10x-15x-30}[/tex]
Add/subtract the numbers from left to right.
-5x²+9x²=4x²
[tex]\Longrightarrow: \sf{3x^3+4x^2-10x-15x-30}[/tex]
Solve.
[tex]\sf{-10x-15x=-25x}[/tex]
Then rewrite the problem.
[tex]\Longrightarrow: \boxed{\sf{3x^3+4x^2-25x-30}}[/tex]
Therefore, the correct answer is 3x³+4x²-25x-30.I hope this helps! Let me know if you have any questions.
Answer:
[tex]3x^2 + 4x^2 - 25x - 30[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex](x + 3)(3x^2 - 5x - 10)[/tex]
[tex](x * 3x^2) + (x * (-5x)) + (x * (-10)) + (3 * 3x^2) + (3 * (-5x)) + (3 * (-10))[/tex]
[tex]3x^3 - 5x^2 - 10x + 9x^2 - 15x - 30[/tex]
Step 2: Combine like terms
[tex]3x^3 - 5x^2 + 9x^2 - 15x - 10x - 30[/tex]
[tex](3x^2) + (-5x^2 + 9x^2) + (-15x - 10x) + (-30)[/tex]
[tex]3x^2 + 4x^2 - 25x - 30[/tex]
Answer: [tex]3x^2 + 4x^2 - 25x - 30[/tex]
The following table represents the annual sales of a bakery for the last 7 years since the grand opening.
Year
1 2 3 4 5 6 7
Sales (in millions)
1 1.2 1.5 1.8 2 2.2 2.4
(a) Create a scatter plot using the data in the table.
(b) Which model type best fits the data?
(c) Use a graphing calculator or other technology to determine the regression model. Graph the model on the scatter plot and write the equation of the model on the plot. Round each term to the nearest ten-thousandth.
Answers
The scatter plot is given below. The linear model best fits the data and the equation of the linear model is y = 0.2667 + 0.7333.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The following table represents the annual sales of a bakery for the last 7 years since the grand opening.
(a) Create a scatter plot using the data in the table. The table is given below.
[tex]\begin{matrix}\rm Year&1 &2 &3 &4 &5 &6 &7 \\\\\rm Sales (in millions)&1 &1.2 &1.5 &1.8 &2 &2.2 &2.4\end{matrix}[/tex]
(b) The linear model type best fits the data.
(c) Use a graphing calculator or other technology to determine the regression model. Graph the model on the scatter plot and write the equation of the model on the plot. Then the equation will be
[tex]\rm y=\left(\dfrac{2.4-1}{7-1}\right)\left(x-1\right) + 1\\\\y = 0.2667 (x - 1) + 1\\\\y = 0.2667x - 0.7333[/tex]
The graph is given below.
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ1
Select the correct answer.
Function F is nonlinear and f(5) = 4. Which equation could represent function F ?
A. f(x) = x^2 – 11
B. f(x) = 2^x - 28
C. f(x) = 1/5x + 3
D. f(x) = 5
i know its not C
Answers
f(5) = 4
It is same thing as saying, when x = 5, y aka f(x) should be 4. Aka the point (5,4)
Let’s look at D, if x =5 then f(x)=5? No, it should equal 4. So this is wrong. It is also not linear. So NOT D
Lets look at C, if x =5 then
1/5(5)+3 =
5/5 + 3 =
1+3 =
4
So, f(x) aka y = 4. Is this correct? Yes when x =5, y indeed should equal 4, but it is not linear. So NOT C
Lets look at B, if x=5 then,
2^5 -28 =
32 - 28 =
4
So, f(x) aka y = 4. Is this correct? Yes when x =5, y indeed should equal 4, AND it is linear SO THE ANSWER IS B
Check A too, it gets y=14 so thats wrong as it is not 4.
A rectangle measures 4 3/4 inches by 1/3 inches . What is the area ?
Answers
Answer:
A = [tex]\frac{1}{4}[/tex] in²
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = lb ( l is the length and b the breadth ) , then
A = [tex]\frac{3}{4}[/tex] × [tex]\frac{1}{3}[/tex] ( cancel 3 on numerator/ denominator )
= [tex]\frac{1}{4}[/tex] × 1 = [tex]\frac{1}{4}[/tex] in²
One year, sales increased by 15%. The following year sales increased by 18%. Calculate the overall percentage increase in sales.
Answers
Answer:
35.7%
Step-by-step explanation:
Sales increase in Year 1
Let the original sales be xSales has increased by 15%Therefore, new sales will be :Original sales + Original sales x 15%⇒ x (1 + 15%)⇒ x (1 + 0.15)⇒ x (1.15)⇒ 1.15xSales increase in Year 2
From Year 1, it has increased by 18%New sales will be :Year 1 sales + Year 1 sales x 18%⇒ 1.15x (1 + 18%)⇒ 1.15x (1 + 0.18)⇒ 1.15x (1.18)⇒ 1.357xOverall Increase
Year 2 sales - Original sales / Original sales1.357x - x / x0.357x / x0.357Decimal to % ⇒ x 100%0.357 x 100%35.7%Let the sales be known as "a".
Given statement:
One year, sales increased by 15%.
This can be written as:Year 1 = a + (a × 15%)Step-1: Evaluate the percentage⇒ Year 1 = a + (a × 15%)⇒ Year 1 = a + (a × 15/100)Step-2: Multiply the terms inside the parentheses⇒ Year 1 = a + (a × 15/100)⇒ Year 1 = a + (15a/100)Step-3: Open the parentheses⇒ Year 1 = a + (15a/100)⇒ Year 1 = 100a/100 + 15a/100Step-4: Add the like terms;⇒ Year 1 = 100a/100 + 15a/100⇒ Year 1 = 115a/100Next year (Year 2):Given statement:
The following year sales increased by 18%.
This can be written as:Year 2 = Year 1 + (Year 1 × 18%) Step-1: Substitute the amount of sales in year 1:⇒ Year 2 = Year 1 + (Year 1 × 18%) ⇒ Year 2 = 115a/100 + (115a/100 × 18/100)Step-2: Simplify the fractions in the parentheses:⇒ Year 2 = 115a/100 + (115a/100 × 18/100)⇒ Year 2 = 115a/100 + (23a/20 × 9/50)Step-3: Multiply the fractions in the parentheses:⇒ Year 2 = 115a/100 + (23a/20 × 9/50)⇒ Year 2 = 1150a/1000 + (207a/1000)Step-4: Open the parenthesis:⇒ Year 2 = 1150a/1000 + (207a/1000)⇒ Year 2 = 1150a/1000 + 207a/1000Step-5: Add the fractions:⇒ Year 2 = 1150a/1000 + 207a/1000⇒ Year 2 = 1357a/1000Overall percentage increase:Formula:
Overal percentage increase = (Sales in year 2 - Original sales) × 100
Step-1: Substitute the values in the equation:⇒ Overal percentage increase = (Sales in year 2 - Original sales) × 100⇒ Overal percentage increase = (1357a/1000 - a) × 100Step-2: Simplify the expression in the parentheses:⇒ Overal increase = (1357a/1000 - a) × 100⇒ Overal increase = (1357a/1000 - 1000a/1000) × 100⇒ Overal increase = (357a/1000) × 100Step-3: Open the parentheses and simplify:⇒ Overal increase = (357a/1000) × 100⇒ Overal increase = 357a/10 ⇒ Overal increase = 35.7aStep-4: Determine the overal increase in percentage:⇒ Overal increase = 35.7a⇒ Overal percentage increase = 35.7%Therefore, the overal increase in percent is 35.7%.
in the garden, the ratio of roses to daises is 1:3. there are 8 roses. How many daises are there
Answers
8x3=24
the __________ of a number is its ____________on the number line
Answers
[tex]\large \mathbb\purple {✒✨ANSWER ✨⚘ }[/tex]
⊱─━━━━━━━━━⊱༻●༺⊰━━━━━━━━━─⊰
➝ the absolute value of a number is its distance from 0 on the number line.
⊱─━━━━━━━━━⊱༻●༺⊰━━━━━━━━━─⊰
#CARRY ON LEARNING