For all x,
sin²(x) + cos²(x) = 1
so we have
(1 - cos²A) csc²A = sin²A csc²A
and since csc(x) = 1 / sin(x), so the expression reduces to 1.
Find the LENGTH OF THE MISSING SIDE in the following right triangle in inches.
Round to the nearest tenth, if necessary.
20 inches
21 inches
Answer:
If the missing side is long then it's 29 or if its short, then it's 6.4
Step-by-step explanation:
just do a^2 + b^2 = c^2 method
Jamie used the distributive property to find the product of s(t) and h(t). His work was marked incorrect. Identify Jamie's mistake. What advice would you give Jamie to avoid this mistake in the future.
Complete Question:
Jamie used the distributive property to find the product of s(t) and h(t). His work was marked incorrect. Identify Jamie's mistake. What advice would you give Jamie to avoid this mistake in the future?
s(t)•h(t)= (3x-4)(2x-8)
= 6x² - 24x -8x - 32
= 6x² - 32x - 32
Answer:
Jamie made a mistake in his second line (6x² - 24x -8x - 32), by wrongly multiplying the operation signs. The last term should be +32, not -32.
Advice: Jamie should take note of the rule that applies when multiplying signs.
Step-by-step Explanation::
To find out where exactly Jamie made mistake, let's find the product of the given functions, step by step:
s(t)•h(t)= (3x-4)(2x-8)
Using distributive property, do the following:
[tex] 3x(2x - 8) -4(2x - 8) [/tex]
[tex] 3x*2x -3x*8 -4*2x -4*-8 [/tex]
[tex] 6x^2 - 24x - 8x + 32 [/tex] (this is where Jamie made mistake. -4 * -8 = +32. NOT -32.)
Add like terms
[tex] 6x^2 - 32x + 32 [/tex]
Jamie made a mistake in multiplying negative × negative. The last term in "6x² - 24x -8x - 32", should be +32. Negative × negative = +.
Therefore, it is advisable for Jamie to always take note of the rule that applies when multiplying signs.
Patulong naman sa business math HAHHA
1) x+3= -7
2) 2/3x+1=27
3) 4x-7=2(x+3)+9
Answer:
1) x = -10
2) x = 39
3) x = 11
Step-by-step explanation:
1) x + 3 = -7
=> x= -7-3
=> x= -10
2) 2/3x + 1 = 27
=> 2/3x = 27 - 1
=> 2x =26 * 3 (26 multiply by 3)
=> x = 78/2
=> x =39
3) 4x-7 = 2 (x+3) +9
=> 4x-7 = 2x+6+9
=> 4x-2x =7+6+9
=> 2x = 22
=> x =22/2
=> x = 11
At the ski shack, customers can rent,skis, snowboards, boots, and poles by the day Mrs.Alvarez is renting skis and poles she has a 18$ coupon off
which expression represents the total cost for Mrs.Alvarez to rent skis for s days and poles for p days
Answer: 48s+12p-18 this is the correct answer i just took the test
The expression that represents the total cost can be written as -
y = as + pb - 18.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that at the ski shack, customers can rent, skis, snowboards, boots, and poles by the day. Mrs. Alvarez is renting skis and poles.
Assuming the cost to rent skis for 1 day is $a and the cost of renting the poles is $b. Then we can write the expression that represents the total cost as -
y = as + pb - 18
Therefore, the expression that represents the total cost can be written as - y = as + pb - 18.
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Miamor wanted to make note cards by cutting pieces of paper in half.
Before starting she got seven more pieces to use. When she was done she
had 28 half pieces of paper. With how many full pieces did she start?
Answer: 14 pieces
Step-by-step explanation:
Let the number of pieces of paper she had at first be x.
Before starting she got seven more pieces to use. This can be written as:
= x + 7
When she was done she had 28 half pieces of paper. This can then be written as:
x + 7 = (28 × 1/2)
x + 7 = 14
x = 14 - 7
x = 7
Since x = 7, she started with:
= x + 7
= 7 + 7
= 14 pieces
Place the numbers from 1 to 5
in the circles. Use each
number once only The sum
must be the same in both
directions!
Answer:
2 top left 5 middle 3top right then 4 and 1 going down
I will give brainliest !!!!!
An office supply store sells notebooks in packs of 15 and folders in packs of 18. A business wants to have one notebook for each folder. What is the least number of notebooks and folders that the business has to buy?
30
270
3
90
Answer:
90 notebooks and folders
Step-by-step explanation:
Find the least common multiple (LCM) or 18 and 15!
18 x 5 = 90
15 x 6 = 90
Therefore, your answer is 90
Hope this helps!
Estimate to find the answer. 52% of 10
Answer:
.50*10 is 5
.52*10 is 5.2
Hi, could someone give me the correct answer i really need it and i'd appreciate it so much. Can anyone please help?
Answer:
a= c+16
a-c= 16
Step-by-step explanation:
a = b + 12
b = c + 4
adding both eq.s, we get:
a+b = b+c+12+4
a+b = b+c+16
a = c+16
a-c = 16
Which two angles are supplementary
Answer:
Step-by-step explanation:
60 and 120 are supplementary angels
x - 12
2x
find the perimeter
Answer:
6x-24
Step-by-step explanation:
First, we must add x-12 to 2x. We will get 3x-12. Now, to get the perimeter, we must multiply that expression by 2. The answer is 6x-24.
Ill give brainlist if RiGhT
Answer:
Angle 1 and angle 3 are vertical angles.
Step-by-step explanation:
They are diagonal from each other causing it to be vertical angles and equal.
Algebra I need help!
Answer:
≤ ≥ > < is all of them
what is two plus two
Which fraction does point A show?
plz help me i really need this down i will give a 100 if u answer it right
3. 4 ____/_____ 4 _________ 4 _________ 4 = 3
4. 4 _________ 4 _________ 4 _________ 4 = 4
5. 4 _________ 4 _________ 4 _________ 4 = 5
6. 4 _________ 4 _________ 4 _________ 4 = 6
7. 4 _________ 4 _________ 4 _________ 4 = 7
Answer:
lmk what you mean and i will help you asap
Answer:
I am soso sorry give me like a day and i will have you an answer
Step-by-step explanation:
i don't uderstand
Please help me with this I have like 10 minutes (SOLVE FOR X)
Both these angles are vertically opposite angles due to which their angle measures will be equal .
Which means :-
[tex]12x + 9 =13 x + 1[/tex]
[tex]9 = 13x + 1 - 12x[/tex]
[tex]9 = 1x + 1[/tex]
[tex]1x + 1 = 9[/tex]
[tex]x + 1 = 9[/tex]
[tex]x = 9 - 1[/tex]
[tex]x = 8[/tex]
Which means :-
angle 12x + 9 == 12 × 8 + 9
= 96 + 9
= 105°
angle 13x + 1 == 13 × 8 + 1
= 104 + 1
= 105°
Therefore :-
angle 12x + 9 = 105° ( x = 8)
angle 13x + 1 = 105° ( x = 8 )
Write the base of -(-6)^5
Answer:
h
Step-by-step explanation:
Do you mean, what's the base in "-(-6)^5
If so it's -6!
Nadya's cell phone provider charges a monthly fee of $35 for usage up to 200 minutes. If she uses more than this in a month, she is charged $0.23 for each additional minute. Let c represent the cost of Nadya's bill if she uses m minutes of air time. Write an expression that can be used to find c if she used more than 200 minutes last month.
Answer:
c=35+0.23mStep-by-step explanation:
Given that Nadya's uses the service for up to 200 times then
let let c represent the cost of Nadya's bill
and m be the minutes of airtime
therefore
the initial charger is $35
The charge per additional minutes is $0.23
c=35+0.23m
Therefore the expression is
c=35+0.33m
Sydney's teacher says she may have her report card percentage based on either the mean or the median and she
can drop one test score if she chooses.
94%, 84%, 100%, 68%
Which measure of center should Sydney choose so she can have the highest percentage possible?
O Sydney should choose the mean after dropping one test score.
O Sydney should choose the mean without dropping one test score.
O Sydney should choose the median after dropping one test score.
O Sydney should choose the median without dropping one test score.
Next
Save and Exit
Submit
Mark this and return
Answer:
The correct answer is:
Sydney should choose the median after dropping one test score.
Step-by-step explanation:
when scores are not dropped:
List of scores = 68%, 84%, 94%, 100%
Mean = (68 + 84 + 94 + 100) ÷ 4 = 86.5%
Median = 68 84 94 100
Median = (84 + 94) ÷ 2 = 89%
Although there are no outliers because Sydney was given the option to drop a test score, dropping the lowest score will increase his overall chances of making a higher score. Therefore, 68% will be dropped.
List of scores when the lowest score is dropped = 94%, 84%, 100%
Mean: (84 + 94 + 100) ÷ 3 = 92.7%
Median: 84, 94, 100
Median = 94% (middle term)
From the four possible scores, the highest score is 94%, and it is gotten by finding the median after dropping a score
Answer:
c ;)
Step-by-step explanation:
What Is PI.
Don't Cheat Or No Points
Answer:
2.14159265358979323846264338327930288419716939937510582097494459230
Step-by-step explanation:
there's a song that I know
1. Becky won $108,000 by coming in first place at a chess tournament, and she has the option of receiving 4 quarterly payments of $27,000, with the first payment in 3 months, or 1 lump-sum payment of $108,000 occurring in 12 months. Once she receives her money, she plans on putting it in a savings account paying simple interest at an annual interest rate of 8.8% calculated quarterly. Becky's financial adviser told her that she'll "lose" money if she takes the lump-sum payment, and Becky wants to calculate how much she’ll "lose". HELP !! I don’t understand ! please show work
Answer:
Step-by-step explanation:
From the information being provided;
We learnt that Becky pays simple interest at an annual interest rate of 8.8% which is calculated quarterly.
i.e. [tex]\dfrac{8.8\%}{4}= 2.2\%[/tex]
Since the first payment of $27,000 happened in the first three months, therefore, Becky will be able to have the money in the bank for 3 quarters prior to the lump-sum payment gets started.
Thus, the estimate of the amount Becky would earn as interest during this period of time is as follows:
[tex]I =\dfrac{PRT}{100}[/tex]
[tex]I =\dfrac{27000\times 2.2 \times 3}{100}[/tex]
[tex]I =\dfrac{178200}{100}[/tex]
I = $1,782
Samuel's car usually takes about 12.5 gallons of gas to fill it up when it's empty while driving through Canada Samuel notice that each gas station measures its gasoline in litres instead of gallon Samuel found that one is approximately equivalent to 0.264 gallons how many liters would it take to fill Samuels car round to the nearest tenth of a liters
Answer: 47.4 liters
Step-by-step explanation:
From the question, we are informed that Samuel's car usually takes about 12.5 gallons of gas to fill it up when it's empty and while in Canada, he noticed that one liter is equivalent to 0.264 gallons.
The number of liters it'll take to fill Samuels car will be:
= 12.5/0.264
= 47.4 litres
1. Suppose you flip a penny 50 times, with 25 tosses landing heads up. What percentage of the tosses would be heads? %
Answer:
50%
Step-by-step explanation:
Half of 50 is 25, so when it comes to a percent, half of 100% (50) is 50% (25)
PLEASE HELP ASAP A bucket contains 48 fluid ounces of water. How many quarts of water does the bucket contain? Enter your answer as a decimal in the box. BLANK quarts
Answer:
1.5 Quarts
Step-by-step explanation:
A quart contains 32 fluid ounces. So divide 48 by 32. You get 1.5.
So the bucket contains 1.5 Quarts.
In the expression which numbers are like terms??
Mark does 5 tests each day. Each test takes 2 hours. He works 6 days this week. How many hours did he work?
Jackson invested 30% of what he earned last month if he invest 1200.00 how much did Jackson earn in total last month, in dollars
Answer:
$4000
Step-by-step explanation:
use formula a = w*p
1200.00 = w0.3
/ 0.3 /0.3
w = 4000
The total earnings done by Jackson last month will be equal to 4000.
What is the Percentage?The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.
As per the given information provided in the question,
Total investment is done by Jackson = 1200
The investment is 30% of total earnings.
Assume that Jackson's earnings are x.
Then,
30% of x = 1200
x = 1200 × (100/30)
x = 4000
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If you traveled 175.5 miles, how many gallons of gas were used?
Answer: What kind of gas? What are we traveling in? Was there supposed to be some rate you left out?
Step-by-step explanation:
