Answer:
Step-by-step explanation:
a.
£100
1:3
1+3=4
1/4×£100
=£25
3/4×£100
=£75
b.
£80
3:5
3+5=8
3/8×£80
=£30
5/8×£80
=£50
C.
£250
2:3:5
2+3+5=10
2/10×£250
=£50
3/10×£250
=£75
5/10×£250
=£125
Harry is installing a surveillance camera at the entrance of a Deli. He mounts the camera 8ft above the ground and 16 ft horizontally from the entrance. The camera is meant to monitor every customer who enters and exits the store. At want angle of depression should Harry set the camera to capture the faces of all customers? Use a diagram and mathematical calculations to help you explain your answer.
Answer:
The angle of depression is found.
θ = 26.56°
Step-by-step explanation:
Let point A be the entrance of a Deli.
Let point C be the location of camera.
Let point B be the horizontal distance from entrance to the camera.
It forms a right angled triangle. where Base = 16 ft and Perpendicular = 8 ft.
Let θ be the angle of depression at point B which is always equal to the angle of elevation at point A.
Using tan θ
[tex]tan\theta= \frac{Perpendicular}{Base}\\tan\theta=\frac{8}{16}\\\theta=tan^{-1}\frac{8}{16}\\\theta=26.56^\circ[/tex]
What is the maximum value of the function y = 5cos2x ?
(1) 5 (2) 2 (3) -5 (4) -2
Answer:
3. -5
Step-by-step explanation:
Select the correct answer.
Why would someone choose to invest rather than depend only on savings?
A.
An investment account provides regular income, while money held in a savings account may decrease.
B.
An investment account has the potential to earn more money than a savings account.
C.
An investment account has a fixed maturity date, but a savings account doesn’t.
D.
There’s less risk of losing money held in an investment account than in a savings account.
Answer:
B.
An investment account has the potential to earn more money than a savings account.
Answer:
B. An investment account has the potential to earn more money than a savings account.
Step-by-step explanation:
Neither saving nor investing is better than the other, choosing depends on your present financial position.
A survey was done of 160 households to find out if they watch cable television, internet television, or
both. Of the 160 households, 109 watched cable television, 88 watched internet television, and 7
watched neither. If a household was selected randomly, what would be the probability that they
watched both cable and internet television?
1) 0.175
2) 0.275
3) 0.375
4) 0.475
Answer: 2) 0.275
Step-by-step explanation:
Total households = 160
Watch Cable TV: 109
Watch internet TV: 88
Watch neither: 7
We want to find the number that watch both of them.
Now, the total number of housholds that watch at least one thing is:
160 - 7 = 153.
Now, if we add the number that watch by cable and the number that watch by internet we have:
109 + 88 = 197
The difference is:
197 - 153 = 44
This means that we have 44 households that watch both things.
This is because we are counting those 44 in the 109 for cable and also in the 88 for internet (because they watch both) and this is why we have a surpass.
Then the number that watch both things is 44, then the probability that a random household watched both things is equal to:
P = 44/160 = 0.275
The correct option is 2
Can someone help me??
Answer:
67.5 degrees
Step-by-step explanation:
The piece that isn't marked with xs is 90 degrees marked by the square symbol representing a right angle.
Full circle = 360 degrees
360 degrees - 90 degrees = 270 degrees
Now, if we add all the like terms we have 4 x's in total. This is becauswe 3x + another x = 4x.
So, we need to divide 270 by 4. We get 67.5 degrees.
Hope this helps!
treviglaslibrary
Answer:
67.5 degrees
Step-by-step explanation:
Hope that helps
Work out the length x
Answer:
12.1 cm
Step-by-step explanation:
We need to utilise Pythagoras theorem here. Pythagoras states that the 2 legs of the triangle square equal the hypotenuse squared so the formula for this is a² + b² = c²
In the question we are already presented with the hypotenuse so we will have to substitute in the values and rearrange
→ Form equation
7² + b² = 14²
→ Simplify
49 + b² = 196
→ Minus 49 from both to isolate b²
b² = 147
→ Square root both sides to isolate b
b = 12.12435565
The value of x to 1 decimal place is 12.1
TRUE OR FALSE?
Picture below
Answer:
True.
Step-by-step explanation:
If we were to simplify both fractions down to their simplest form, we would get:
[tex]\frac{3}{9} = \frac{1}{3}[/tex]
[tex]\frac{5}{15} = \frac{1}{3}[/tex]
Therefore, the two ratios do form a proportion. Both are equivalent to [tex]\frac{1}{3}[/tex] when in simplest form.
Martin was given this expression to simplify: 23x + xy – y + 3y + 5 – 20x + 6xy He simplified the expression to: 43x + 7xy −3y What were Martin’s errors? Check all that apply. The combined coefficients of the x terms should be 3x, not 43x. The 7xy should be –7xy. The coefficients of the y terms have been multiplied. When you combine like terms, you add or subtract the coefficients. The constant was left off. The terms xy and 6xy are not like terms because there are two variables.
Answer:
Step-by-step explanation:
23x + xy - y + 3y + 5 - 20x + 6xy = 23x - 20x + xy + 6xy -y + 3y + 5
= 3x + 7xy + 2y + 5
Errors:1) The combined coefficients of the x terms should be 3x, not 43x
2) The coefficients of the y terms have been multiplied.
3) The constant was left off.
Answer:
1,3,4
Step-by-step explanation:
Question 3
the figure needs solving help
Answer:
ABC = 60
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
ACD = B+ A
100 = 40 + B
Subtract 40 from each side
100-40 = 40+B -40
60 = B
ABC = 60
Answer:
60°
Step-by-step explanation:
What is the length of BC in the right triangle below?
Answer:
15
Step-by-step explanation:
Look at the attachment
IVE BEEN STUCK ON THIS QUESTION CAN I PLEASE GET SOME HELP I WOUDL APPRECIATE IT THANK YOU
Answer:
B. 3x² -17
Step-by-step explanation:
f(x)= 3x+1
g(x)= x² -6
(f °g)(x) =f(g(x)) so plug in in f for variable x²-6
(f °g)(x) = 3(x² -6) +1 =3x² -18 +1 = 3x² -17
AABC is translated 6 units up and 3 units left to create
AA'B'C'. If vertex A is located at (-1, 2), what are the
coordinates of A'?
(5-1)
(-4, 8)
(2, -4)
(-7, -1)
Answer:
-4,8
Step-by-step explanation:
If vertex A is located at (-1, 2) then the coordinates of A' is
What is Translation?A translation only moves a shape up, down, or from side to side; it has no effect on how it appears. One illustration of a transformation is translation. A transformation is a technique for moving or repositioning a shape. Every point in the shape is moved in the same direction and by the same amount.
We have,
The triangle is translated 6 units up and 3 units left.
If vertex A is located at (-1, 2).
To Translate 6 units up we have to add 6 to the y coordinate.
and, to translate 3 units left we have to subtract 3 from the x coordinates.
So, the coordinates after translation is
A (-1,2) --> A' (-4,8)
B (1,5) --> B' (-2,11)
Learn more about Translation here:
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In the figure below an angle that is supplementary to angel FAB is:
Thank you if you could help me <3 It’s geometry
Answer:
CAB
Step-by-step explanation:
Angle CAB and Angle FAB together make 180 degrees(straight angle) . A supplementary angles equal to 180 degrees.
Evaluate f(a) = 6a2 - 38a + 4 for a = 6.
Answer:
Just plug in 6 for a.
6 * 6² - 38 * 6 + 4 = -8.
HELPPPPPPPPPPPPP
Solve for x: two fifths(x − 2) = 4x.
x = two ninths
x = −2
x = negative two ninths
x = negative nine halves
Answer:
x = - [tex]\frac{2}{9}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2}{5}[/tex] (x - 2) = 4x
Multiply both sides by 5 to clear the fraction
2(x - 2) = 20x ( divide both sides by 2 )
x - 2 = 10x ( subtract x from both sides )
- 2 = 9x ( divide both sides by 9 )
- [tex]\frac{2}{9}[/tex] = x
A graph of average resting heart rates is shown below. The average resting heart rate for adults is 72 beats per
minute, but doctors consider resting rates from 60-100 beats per minute within normal range.
Average Resting Heart Rate by Age
120-
10.112)
100-
80
Heart Rate (beats/min)
(20,72)
(50,72)
40-
20
0 10 20 30 40 50 60
Age (years)
Which statement about average resting heart rates is not supported by the graph?
1) A 10-year-old has the same average 3) A 40-year-old may have the same
resting heart rate as a 20-year-old.
average resting heart rate for ten years.
2) A 20-year-old has the same average 4) The average resting heart rate for
resting heart rate as a 30-year-old.
teenagers steadily decreases
Answer:
Option (1)
Step-by-step explanation:
Characteristics of the graph attached,
1). Heart rates of the teenagers (0 to 20 years) varies from 112 beats per minute to 72 beats per minute.
2). Heart rates of the adults (20 years to 50 years) remains constant (72 beats per minute)
Option 1). Since average resting heart rate of the teenagers decreases from 0 to 10 years, so at the 20 years of age heart rate will be less than a teenager of 20 years.
Therefore, statement is not supported by the graph.
Option (2). A 20-year-old has the same average resting heart as at 30-year-old. [True]
Therefore, this option is supported by the graph.
Option (3). A 40-year-old may have the same average resting heart rate for 10 years.
[True]
Therefore, this statement is supported by the graph.
Option (4). The average resting heart rate for teenagers steadily decreases.
[True]. There is a linear decrease in the teenagers heart rate shown in the graph.
Therefore, the given statement is true and supported by the graph.
Option (1) will be the answer.
Help please! Will give brainly! Explain how the equation y=x^2 differs from the equation y=x
(Hint: plug in z= 1, 2, 3, 4, 5, and explain how the answers differ.)
Answer:
Below.
Step-by-step explanation:
[tex]y=x^2[/tex] is also [tex]y = x*x[/tex]
It will differ for any x besides 1 and 0 because you're multiplying x by itself, which makes the answer greater.
But, it's the same for 1 and 0 because they equal each other when you square them.
If the model was built using a 1-to-64 scale, and the length of the model is 10.5 inches, What is the length of the actual tractor in feet?
Answer:
The length of the actual tractor is:
56 feet.Step-by-step explanation:
Firstly, you must know the conversión between inches and feet:
1 foot = 12 inchesOr
1 inch = 0.0833333 feetHow the paragraph says that the scale is 1 to 64, it means by each unit in the scale, the unit in the actual tractor is 64 times bigger, so, you must multiply the measure of the model by 64 to obtain the actual length in inches:
Length of the actual tractor = 10.5 inches * 64 = 672 inchesThe paragraph says the length must be in feet, so we must apply the conversion given above in a simple rule of three how I'll show below:
1 foot = 12 inchesx = 672 inchesAnd we operate:
x = (672 inches * 1 foot) / 12 inchesAfter we cancel the unit "inches:"
x = 672 feet / 12x = 56 feetFor this reason, we obtain the final value of 56 feet to the actual length of the tractor.
Write an absolute value expression to represent the distance between -1 and -6 on a number line. then evaluate the expression.
Answer:
5.
Step-by-step explanation:
That would be |-1 - (-6)|
= |-5|
= 5.
please, someone, answer this asap; mean median mode and range:
1)Use the data to calculate the mean. 24, 31, 12, 38, 12, 15 *
22
12
26
2) Use the data to calculate the median. 24, 31, 12, 38, 12, 15 *
19
19.5
20
3) Use the data to calculate the range. 24, 31, 12, 38, 12, 15 *
24
38
26
4) Use the data to calculate the mode. 24, 31, 12, 38, 12, 15 *
12
24
38
5) the mode represents the number that appears the least *
True
False
6) To calculate the range we use the highest and lowest number ? *
True
False
7) Average is another word for *
mode
range
mean
median
8) the range indicates the middle number ? *
True
False
9) which statement best describes the mean. *
add all the numbers and divide by the total number of numbers
highest minus lowest
number that appears the most
10) A data set with two modes is known as *
no modes
bimodal
multimodal
Answer:
1) 22
2) 19.5
3) 26
4) 12
5) False
6) True
7) Mean
8) False
9) Add all the numbers and divide by the total number of numbers
10) Bimodal
Step-by-step explanation:
1)Use the data to calculate the mean. 24, 31, 12, 38, 12, 15 *
To calculate mean you add all the numbers up and divide by the total number of numbers.
[tex]\frac{24 + 31+12+38+12+15}{6} = 22[/tex]
2) Use the data to calculate the median. 24, 31, 12, 38, 12, 15 *
For median, arrange the numbers from lowest to largest
12, 12, 15, 24, 31, 38
use (n+1) / 2 to figure out which value is the median
(6+1) / 2 = 3.5 (median is in between the 3rd and 4th value)
(15+24) / 2 = 19.5
3) Use the data to calculate the range. 24, 31, 12, 38, 12, 15 *
Range is max value - min value
38 is max and 12 is min
38 - 12 = 26
4) Use the data to calculate the mode. 24, 31, 12, 38, 12, 15 *
Mode is the value that appears most frequently
In this case 12 appears 2 times, therefore it is the mode
5) the mode represents the number that appears the least *
False, mode is the number that appears the most
6) To calculate the range we use the highest and lowest number ? *
True
7) Average is another word for *
mean
8) the range indicates the middle number ? *
False, range is the max value - min value
9) which statement best describes the mean. *
add all the numbers and divide by the total number of numbers
10) A data set with two modes is known as *
bimodal
___________________________________
hey!!
Given data=24,31,12,38,12,15summation fX=132
N(total no.of items)=6
Now,
Mean=summation FX/N
=132/6
=22
2. Arranging the data in ascending order
= 12,12,15,24,31,38
N=6
Median=(N+1/2)th item
= (6+1/2) th item
=(7/2)th item
=3.5 th item
Again,
median=3 rd item + 4th item/2
=15+24/2
= 39/2
=19.5
3.Range= highest score- lowest score
=38- 12
=26
4. Mode= 12 because it has more frequency.
______________________________________
Answers:2219.5 26 12FalseTrueMeanFalseadd the numbers and divide by the total number of numbers bimodalHope it helps...Good luck on your assignment
________________________________
Which of the following points is a solution to y ≤ −2x + 3?
above; y = 2x − 2
below; y = 2x − 2
above; y = −2x + 2
below; y = −2x + 2
Answer:
d; below; y = −2x + 2
Step-by-step explanation:
the equality ≤ means left to right that y is equal or less than. We see that 2 is equal or less than 3.
We check the resulting equation also and see that if we +3 it = 1 and if we +2 it equals 0 so we know +2 in answer format can be less than also. But with questions we are measuring the units and +2 is less than +3.
Answer:
B (1,0) hope this helps :)
We now want to solve for x.
-4x + 11 = -1
-4x = BLANK?
X= BLANK?
can you help?
What is the value of n?
1339
nº
142"
A. 470
B. 810
C 389
D. 850
Answer:
D
Step-by-step explanation:
The sum of all exterior angles of a triangle is 360° so n + 133 + 142 = 360 and n = 85°.
Answer:
it is 85
Step-by-step explanation:
133+142=275
360-275=85
ESTIMATED AND EXACT ANSWERS. Find the answers to these division problems. Use
compatible numbers to check your answer's accuracy. Look back to Lesson Three if you need
help with compatible numbers. (2 points each)
10. 903.6 - 25.1
Exact Answer:
Estimate:
11. 760.38 +0.38
Exact Answer:
Estimate:
Answer
10) 36
11)2001
Step-by-step explanation:
Answer:
10. 36 (exact answer), 30 or 30.16 (estimated answer).
11. 2001 (exact answer), Undefined, or 1900 (estimated answer).
Step-by-step explanation:
For number 10, the exact answer is 36 and the estimated is 30 or 30.16. Why?
-To have the exact answer we have to divide 903.6 ÷ 25.1 = 36.
-To have the estimated answer we have to round 903.6 and 25.1, as 903.6 is close to 900 and not 1,000, and 25.1 is close to 30 and not to 20. The equation is 900 ÷ 30 = 30.
-To make sure that the exact answer is correct, we have to multiple 25.1 and 36 = 903.6.
-To make sure that the estimated answer is correct, we have to multiple 30 and 30 = 900.
-But there's a problem, they can be two answers for the estimated answer 1). 30, and 2). 36.16. Process: 904 ÷ 25 = 36.16. Why? As they are decimal points, it may be that we have to round them but not the whole number, but the question doesn't specify how we have to round them, so I'm not so clear about it.
For number 11, the exact answer is 2001 the estimated is 1900 or Undefined. Why?
-To have the exact answer we have to divide 760.38 ÷ 0.38 = 2001.
-To have the estimated answer for the undefined we have to round 760.38 and 0.38, as 760.38 is close to 800 and not to 700, and 0.38 is close to 0 (0.00) and not to 1 (1.00). The equation is 800 ÷ 0.00 = Undefined.
-To make sure that the exact answer is correct, we have to multiple 2001 and 0.38 = 760.38.
-But there's a problem, they can be two answers for the estimated answer 1). Undefined, and 2). 19. Process: 760 ÷ 0.40 = 1900. Why? As they are decimal points, it may be that we have to round them but not the whole number, but the question doesn't specify how we have to round them, so I'm not so clear about it.
One car leaves town traveling at 72 miles per hour (mph). An hour later, a second car leaves the same town, on the same road, traveling at 90 mph. In how many hours will the second car overtake the first?
Answer: i think its 1.25hrs
Step-by-step explanation: 90/75=1.25
help please very confused.
Answer:
12.
Step-by-step explanation:
Replace k in the radical by -2:
So we have √(-72*-2)
= √144
= 12.
Answer:
12
Step-by-step explanation:
[tex]\sqrt{-72(-2)} = \sqrt{144} = 12[/tex]
someone please help me !!!
Answer:
x = 120°
Step-by-step explanation:
The equation is given to you:
The sum of the interior angles can be found using the equation:
Sum = (n - 2)180
Note that:
n = # of sides.
Plug in 6 for n in the equation.
∑ = (6 - 2)180
First, solve for the parenthesis:
∑ = (4)180
Next, multiply:
∑ = 4 * 180
∑ = 720
You are solving for one angle. Note that there are 6 angles. Divide the sum of the angles with 6:
720/6 = 120
120° is your answer.
~
Answer:
the answer is 120 degrees
In a sequence, the first term is 4 and the common
difference is 3. The fifth term of this sequence is
1) -11
2) -8
3) 16
4) 19
Answer:
16
Step-by-step explanation:
Apply the arithmetic series formula, with A=4, d=3 and n=5 as n represents the number of terms.
An = A+(n-1)d
This shows that: A5 = 4+ 4(3) = 16.
Fifth term of the arithmetic sequence is 16.
What is arithmetic sequence?"Arithmetic sequences are ordered sets of numbers that have a common difference between each consecutive term."
Given
First term a1 = 4
Common difference d = 3
n = 5
Formula to find fifth term in the arithmetic sequence
[tex]a_{5} = a_{1} +(n-1)d[/tex]
[tex]a_{5}= 4+(5-1)3[/tex]
[tex]a_{5}= 4+(4)3[/tex]
[tex]a_{5}= 4+12[/tex]
[tex]a_{5}= 16[/tex]
Hence, fifth term of the arithmetic sequence is 16.
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Help asap plz, dhdbhdhf
Point C has coordinate of -4.
What is the distance of point c from zero?
