Answer:
the length of the longer piece of cable is 24 ft
Step-by-step explanation:
shor piece = s
Long piesce = s+9
s + s+9= 39
2s = 30
s = 15
short = 15
15 +9 = 24
long = 24
15+24 = 39
Answer:
24 feets
Step-by-step explanation:
let the shorter cable be x feets
so the longer cable will be 9 plus the shorter cable which is (9 + x) feets
Total length = Longer cable + shorter cable 39 = (9 + x) + x 39 = 9 + 2x2x = 39 - 9 2x = 30[tex]x \: = \: \frac{30}{2} \\ x = 15feets[/tex]
But the longer cable is (9 + x)So longer cable = 9 + 15 Longer cabl = 24 feetsThis number is greater than 1 and both the square of an integer and the cube of an integer? What is the number?
Answer:
64
8² = 64
4³ = 64
The area of a rectangular carpet is 96 square feet. The length of the carpet is 12 feet. What is the width of the carpet?
A. 8 feet
B. 12 feet
C. 24 feet
D. 36 feet
Answer:
A. 8 feet
Step-by-step explanation:
96 = 12 (x)
96/12 = x
8 = x
ANSWER AND GET 30 POINTS!!! ASAP!!!
Which of the following are trigonometric identities? Select all that apply. (3)
What is a simplified form of the expression sec^2 x-1/sinx secx?
Answer:
1. A, E
2. C
Step-by-step explanation:
1. tan theta = 1/cot theta
sec theta = 1/ cos theta
2. Sec^2x-1 = tan^2x
sinx sec x = tanx
= tan^2x/tanx = tan x
The identities are (a) tan(θ) = 1/cot(θ), (c) 1 - sin^2(θ) = cos^2(θ) and (e) sec(θ) = 1/cos(θ) and the simplified form of [tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex] is tan(x)
Part A: The trigonometry identitiesAs a general rule, we have:
tan(θ) = 1/cot(θ)
sec(θ) = 1/cos(θ)
cosec(θ) = 1/sin(θ)
sin^2(θ) + cos^2(θ) = 1
The above means that:
(a) tan(θ) = 1/cot(θ), (c) 1 - sin^2(θ) = cos^2(θ) and (e) sec(θ) = 1/cos(θ) are identities
Part B: The trigonometric proofWe have:
[tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex]
Express the numerator as tan^2(x)
[tex]\frac{\tan^2(x)}{\sin(x)\sec(x)}[/tex]
The product sin(x)sec(x) = tan(x).
So, we have:
[tex]\frac{\tan^2(x)}{\tan(x)}[/tex]
Divide
tan(x)
Hence, the simplified form of [tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex] is tan(x)
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Peter says If you subtract 14 from my number and multiply the difference by -2, the result is -44 What is Peters number?
Answer:
36
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Let the number be x, then
First subtract 14 from number x, then
x - 14
Now multiply difference by -2, results -44
(x - 14) × -2 = -44
By solving equation,
-2X + 28 = - 44
- 2X = -44 - 28
X = -72 ÷ -2
x = 36
So, Peter's number is 36.
On two investments totaling $6,500, Lydia lost 7% on one and earned 8% on the other. If her net annual receipts were $364, how much was each investment?
Answer:
$3,442.40
$3,057.60
Step-by-step explanation:
The computation of the each investment is as follows:
let us assume the one investment be x
And, the other investment be y
So
According to the question
x + y = $6,500
And,
-7x + 8y = $364
Now multiply by 7 in equation 1
7x + 7y = $45,500
-7x + 8y = $364
15y = $45,864
y = $3,057.60
x = $6,500 - $3,0657.60
= $3,442.40
a record impact books at a rate of 48 books every 2 minutes how many minutes do the worker need to unpack 168 books?
Answer:
7minutes
Step-by-step explanation:
so if 48 books are sorted in 120 seconds what about 168 books if you cross multiply you will get 420 seconds which converted to minutes is 7
A 7.0 kg textbook is placed in a shelf 1.5 m high. What is the potential energy relative to the floor?
Answer:
PE = 102.9 Joules
Step-by-step explanation:
PE = mgh
= (7.0 kg)(9.8 m/s^2)(1.5 m)
= 102.9 Joules
The distance between two cities is 4000 kilometers. One kilometer is 6 10 millimeters. What is the distance between the two cities in millimeters?
Answer: 4,000,000,000 mm
Step-by-step explanation:
One kilometer is 10^6 or 1000000 millimeters
So 4000x1000000
4x1 is 4
Annex the zeros. There are 9 zeros.
= 4,000,000,000 millimeters
The distance between the two cities in millimetres of 4,000,000,000 mm
What is a distance?
Distance is defined as the length between the two points just like in the question it is the length between the two cities.
We know that:-
One kilometer is 10^6 or 1000000 millimeters
So 4000x1000000
4x1 is 4
Annex the zeros. There are 9 zeros.
= 4,000,000,000 millimeters
Therefore the distance between the two cities in millimetres of 4,000,000,000 mm
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Find the measurements of side bc
44.95
19.73
39.82
40.31
Answer:
Option B
Step-by-step explanation:
By applying cosine rule in the given triangle ABC,
BC² = AC² + AB² - 2(AC)(AB)cos(∠A)
BC² = (26)² + (23)² - 2(26)(23)cos(47°)
BC² = 676 + 529 - 815.67
BC² = 389.33
BC = √(389.33)
BC = 19.73
Therefore, Option B will be the correct option.
The equation y=36x represents the relationship between x the number of yards and y the number of inches.
Which ordered pair represents the number of yards and number of inches?
(2,72) (4,40) (5,180) (40,4) (72,2) (180,5)
Answer:
(2 , 72) and (5 , 180)
Step-by-step explanation:
Options A (2 , 72) and C (5 , 180) will be the correct options.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
we are Given equation representing the relation between two variables 'x' and 'y' is,
y = 36x
Here, y = yards and x = inches
Now Satisfy this equation with each point given in the question;
Option A. (2, 72)
72 = 36 × 2
72 = 72
This is True
Option B. (4, 40)
40 = 36 × 4
40 = 144
This is False
Option C. (5, 180)
180 = 36 × 5
180 = 180
This is True
Option D. (40, 4)
4 = 36 × 40
4 = 1440
This is False
Option E. (72, 2)
2 = 36 × 72
2 = 2592
This is False
Option F. (180, 5)
5 = 36 × 180
5 = 6480
This is False
Therefore, Options (A) and (C) will be the correct options from all the other
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a gping out if bisinuess sale has the entire store marked 80./. off
Answer:
huh- So lemme get this straight if a dollar tree (where I live) goes out of business I can buy it for like 20 cents??? AWESOME. I'll do that.
Step-by-step explanation:
What is the lateral area and surface area? If you amswer correctly i will mark it as brainliest
Answer:
Lateral area:
L = πdh = 3.14*12*10 = 376.8 in²Total surface area:
S = L + 2*πd²/4S = 376.8 + 3.14*12²/2 = 602.9 in² (rounded)A cylinder has a radius of 5 cm and a height of 8 cm. What is the volume of the cylinder in terms of π?
Answer:
The answer to the question is 80π
what is the circumference area?
Todd can run 1/2 a mile in 1/12 of an hour. what is todd’s rate in miles per hour?
Answer:
Step-by-step explanation:
(1/2 mile)/(1/12 hour) = 12/2 = 1 mph
How long it takes someone to walk a trail depends on the length of the trail, which you did not provide. The formula is distance = rate*time, so time = distance/rate. You know the rate = 1 mph
Given the following data set 2,3,1,6,1,1,1,0,2,4,5,1,2,2,3
Mean
Median
Range
Mid range
Answer:
mean: 34/15=2.27
median: 2
range: highest-lowest...... 6-0=6
mid range: high + low divided by 2
6+0=6/2=3
Answer:
Mean: 2.27
Median: 2
Range: 6
Mid-range: 3
Step-by-step explanation:
The mean is adding the average of the data set; add up all numbers, then divide by how many numbers there are.
2 +3 + 1 + 6 + 1 + 1 + 1 + 0 + 2 + 4 + 5 + 1 + 2 + 2 + 3 = 34
There are 15 numbers in this data set.
34 ÷ 15 = 2.26666666667 ≈ 2.27 (nearest hundredth)
2.27 is the mean.
-------------------------------------------------------------------------------------------------------------The median is the middle number after putting the data set in numerical order.
0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6
The median is 2.
--------------------------------------------------------------------------------------------------------------
0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6
The range is the smallest number subtracted from the largest number.
6 - 0 = 6
6 is the range.
--------------------------------------------------------------------------------------------------------------
0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6
The formula for mid-range is:
Maximum value + largest value ÷ 2.
The largest value is 6.
The minimum value is 0.
6 + 0 = 6
6 ÷ 2 = 3.
The mid-range is 3.
image down below plz help
Answer:
A
Step-by-step explanation:
I feel strongly that it is A.
lol please help me i really don’t get this
Answer:
If y is inversely proportional to x then y is 3
can I please get some help and correct me if I’m wrong with number 1 and 2
Answer:
the answer on 1. is correct
number 2. is -3 not 3
A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up. How much higher is the top of the ladder now? (Hint: Let 8−2x be the distance from the base of the ladder to the wall.)
Answer:
Step-by-step explanation:
The Pythagorean Theorem holds for both positions.
The first configuration is an 6-8-10 right triangle.
The second configuration using the Pythagorean Theorem:
10^2 = (8-2x)^2 + (6 + x)^2
100 = 64 - 32x + 4x^2 + 36 + 12x + x^2
100 = 100 - 20x + 5x^2
5x^2 - 20x = 0
5x(x - 4) = 0
x = 4 feet (we throw out the x = 0 solution as extraneous)
Answer:
Step-by-step explanation:
The Pythagorean Theorem holds for both positions.
The first configuration is an 6-8-10 right triangle.
The second configuration using the Pythagorean Theorem:
10^2 = (8-2x)^2 + (6 + x)^2
100 = 64 - 32x + 4x^2 + 36 + 12x + x^2
100 = 100 - 20x + 5x^2
5x^2 - 20x = 0
5x(x - 4) = 0
x = 4 feet (we throw out the x = 0 solution as extraneous)
The 4th ans pls anyone?
Answer:
associative property of multiplication
Step-by-step explanation:
I hope this helps you :)
...help me pls with this work i'm timed
Answer:
10 cm
Step-by-step explanation:
multiply first 4×2 which is Base. then multiply by 1 1/4 which is 10
Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.
Answer:
6:5
Step-by-step explanation:
Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.
The algae is spherical in nature
Volume of the algae =4/3 pi r³
Volume of the algae = 4/3×pi×2.5³
Volume of the algae = 62.5/3 pi
Surface area = 4pi r²
Surface area = 4pi ×2.5²
Surface area = 25pi
Taking their ratio
surface area : volume ratio
= 25pi:62.5/3 pi
= 25 × 3/62.5
= 1.2
Hence the required ratio is 12/10 which is 6:5
(2x-4)^2 please solve with steps
Answer
what is the equation equal to
Step-by-step explanation:
If thats the only thing they give it is (2x-4)(2x-4)
Answer:
4x - 16
Step-by-step explanation:
2x x 2x = 4x (2x^2)
4 x 4 = 16 (4^2)
You had to distribute that ^2.
Keep the SUBTRACTION sign.
therefore your answer is:
4x - 16
If the line containing the points in the table is plotted on a coordinate system, what does the
graph look like?
Answer:
90
Step-by-step explanation:
Which transformation can be used to prove that this parallelogram is symmetrical?
A truck that can carry no more than 7600 lb is being used to transport refrigerators and upright pianos each refrigerator weighs 250lb and each piano weighs 425 lb. Write and graph an inequality to show how many refrigerators and how many pianos the truck could carry. Will 13 refrigerators and 11 pianos overload the truck? Explain.
Answer:
Step-by-step explanation:
7600 ≥ 250r+425p
7600 ≥ 250(13)+425(11)
7600 ≥ 3,250+4675
7600≥7925
This statement is incorrect. Therefore no, the truck cannot transport that load
mel randomly selects a coin 150 times of which she selects a dime 30 times
Answer:
Random numbers for experimental probability. This means that if we roll a die 60 times we can expect each of the six faces to come up.
hope this helps
have a good day :)
Step-by-step explanation:
1/5 + 1/6 in fraction formm
Pls solve this I will give more points
Answer:
x=4
Step-by-step explanation:
7(2x+8)=4(28)
14x+56=112
14x=112-56
14x=56
x=4