Answers
Answer:
opposite side = 8.27cm
adjacent = 12.5cm
Step-by-step explanation:
to work out the other side of the triangle
give the angle = 32
using SOH CAH TOA
sineФ = opposite/ hypoteneus
sin32° = opposite/ 15cm
using cross multiplication
opposite side = sine32 x 15cm
opposite side = 0.551 x 15cm
opposite side = 8.27cm
to find the other side of the triangle using pythagoras theorem
hypotheneus ² = opposite² + adjacent²
15² = 8.27² + adjacent ²
collect the like terms
15² - 8.27² = adjacent ²
225 - 68.42 = adjacent²
156.58 = adjacent²
squaring both sides
adjacent = √ 156.58
adjacent = 12.5cm
Related Questions
If the mean of the data set is 35 apples find the number of apples on the Granny Smith tree
Answers
35apples:
The number of apples on the Granny Smith tree can be found by looking at the mean of the data set, which in this case is 35 apples.
To determine the number of apples on the Granny Smith tree, just consider that the mean represents the average value of the data set.
Since the mean is 35, then you can conclude that there are 35 apples on the Granny Smith tree.
The number of apples in the Granny Smith tree is 41.
To find the number of apples in the Granny Smith tree, we can use the fact that the mean (average) of the data set is 35 apples. The mean is calculated by summing up all the values and dividing by the total number of values.
Let x be the number of apples in the Granny Smith tree.
The mean of the data set can be calculated as:
[tex]\[ \text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}} \]For the given data set, the sum of all values is \( 34 + 29 + 36 + x \), and there are 4 values in total.[/tex]
So, we have the equation:
[tex]\[ 35 = \frac{34 + 29 + 36 + x}{4} \]Now, let's solve for \( x \):\[ 35 \times 4 = 34 + 29 + 36 + x \]\[ 140 = 99 + x \]\[ x = 140 - 99 \]\[ x = 41 \][/tex]
Therefore, the number of apples in the Granny Smith tree is 41.
Complete question:
The following table shows the number of apples on each apple tree in Craig’s backyard. If the mean of the data set is 35 apples, find the number of apples in the Granny Smith tree.
ASAP!!!!! !!
I need help, it’s urgent please!!!
Answers
Answer: A
Step-by-step explanation: Because if an ecosystem has a high biodiversity, then it’s most likely to survive things like an invasive species for example
In the diagram, angle abc is a right angle. Find the value of x
Show full working out pls ty
Answers
Answer:
x = 3.75
Step-by-step explanation:
ABC is a right angled triangle.
Therefore, by Pythagoras theorem:
[tex] {(10 - x)}^{2} = {x}^{2} + {5}^{2} \\ 100 - 20x + {x}^{2} = {x}^{2} + 25 \\ 100 - 20x = 25 \\ - 20x = 25 - 100 \\ - 20x = - 75 \\ x = \frac{ - 75}{ - 20} \\ \: \: \huge \red { \boxed{x = 3.75}}[/tex]
What mistakes did Cassandra make? check all that apply
Answers
Answer: Where are the answers to choose from?
Step-by-step explanation:
Answer:
For the E D G E N U I T Y people
Step-by-step explanation:
hopefully i’ve helped you luv
The following graph represents changes in the real estate market in a given area over a period of 28 years. A graph titled Housing Price Index has years on the x-axis. From 0 to 2, the price is steady; from 2 to 4, increases; from 4 to 6, decreases; from 6 to 8, is steady; from 8 to 10, increases rapidly; from 10 to 20, decreases; from 20 to 28, increases. Using this information, consider the three following real estate investment strategies, and rank them from least to greatest according to how much profit they would likely make in this market, assuming that each of them purchased a house in this area at year 0. I. A house flipper, seeking to sell the house as soon as doing so becomes profitable, sells after 4 years. II. A long-term investor, seeking to hold onto the house for a long time, sells after 23 years. III. A moderate-term investor who will sell the house once it reaches a certain price, sells after 11 years. a. I, II, III b. II, I, III c. III, I, II d. Each of them will make roughly as much profit as the others.
Answers
Answer:
B.
II, I, III
Step-by-step explanation:
Just took test on Edge 2021
Answer:
its B. II, I, II
six more than the product of four times the difference between x and 3
When x=8
Answers
Answer:
26
Step-by-step explanation:
Six more than four times the difference between x and 3
6+4(x-3)
And x is said to be 8
So let's substitute
6+4(8-3)
6+4(5)
6+20
26
So the final answer is 26
Answer: 26
Step-by-step explanation:
which problem situation corresponds the equation 12.5 + x = 62.5
i need help please!!!!!
Answers
Answer:
x = 50
Step-by-step explanation:
take away 12.5 from both sides to get x alone on one side and numbers alone on one side
x = 50
What does the ordered pair (2,3) represent?
Answers
Given:
It is given that the graph represents the cup of sugar per cookies (dozens)
The x - axis represents the Sugar (cups)
The y - axis represents the Cookies (dozens)
We need to determine what the coordinate (2,3) represent.
Coordinate (2,3) represent:
Since, x - axis represents the Sugar (cups) and the y - axis represents the Cookies (dozens), it can be written in coordinate as (x,y)
Now, we shall determine what the coordinate (2,3) represent.
Comparing the coordinates, we get;
[tex](x,y)\implies (2,3)[/tex]
Thus, the x - value (x = 2) represents the Sugar (cups) and the y - value (y = 3) represents the Cookies (dozens).
Hence, the ordered pair (2,3) represents 2 cups of sugar yield 3 dozen cookies.
Therefore, Option c is the correct answer.
The ordered pair (2,3) represent that 2 cups of sugar yield 3 dozens of cookies.
In the given graph, x - axis represent that number of sugar cups and y - axis represent that corresponding dozen of cookies.
So that, in an order pair (x, y) , x- cups of sugar yield y - dozens of cookies.
Therefore, The ordered pair (2,3) represent that 2 cups of sugar yield 3 dozens of cookies.
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Two pentagons are similar. So, their corresponding sides must have the same lengths.
TrueFalse
Answers
Answer:
False because they are similar not exactly alike.
Find the area of the figure.
Answers
Answer:
98 ft ^2
Step-by-step explanation:
big triangle: (find the area of the space between)
bh/2
(14 x 14) /2 = 98
square: 14 x 14 = 196
196 - 98 = 98.
A screen door spring has a spring constant of 188 N/m, and stretches 0.292 m when the door is opened. What force does it exert?
(Unit = N)
Answers
Answer:
The answer is 54.896N
Step-by-step explanation:
From Hooke's law,
Force = spring constant x extension
i.e
F = k x e
F = 188N/m x 0.292m
F = 54.896N
Answer:
54.846N
Step-by-step explanation:
Force = ?
Spring constant (K) = 188N/m
Spring stretch (x) = 0.292m
Force acting on a spring = spring constant * spring stretch
Force = 188 * 0.292
Force = 54.896N
The force acting on the spring is 54.896N
How many customers were kept on hold for less than 25 seconds?
Answers
Answer:
54 customers
Step-by-step explanation:
Add them all together:
9 + 9 + 0 + 1 + 2 + 5 + 6 + 3 + 5 + 9 + 0 + 5
= 18 + 3 + 11 + 8 + 14
= 32 + 22
= 54
Answer: 54 Customers
Step-by-step explanation: From what i can see, it shows 3 sets of customers, all the seconds added together would be 54
9 + 9 = 18
0 + 1 + 2 + 5 + 6 = 14
3 + 5 + 9 = 17
0 + 5 = 5
now, add it all together
18 + 14 + 17 + 5 = 54
A special form of the hyperbola is called:
Answers
Answer: Branches
Step-by-step explanation:
A hyperbola has two matching halves called branches
Can someone check this if it is right or wrong
Answers
convert 15/125 to a decimal using long division
Answers
The answer is 0.12 and I did it using long division...
Answer:
15√125
000.015
000.075
000.03
= 000.12 = 0.12
We show the inverse; 0.12 x 125
12.0
2.4
+ 0.60
= 15 = inverse of 0.12
Step-by-step explanation:
15/125 = 0.12
Find the value of X, X is a radius.
A- 11.6
B- 12.4
C- 6.7
D- 8.0
Answers
Which steps should be used to compare the fractions 2 Over 9 and 5 Over 6?
Answers
Answer: 2/9 5/6
Step-by-step explanation:
Find the common denominator
How much would $300 invested at 7% interest compounded continuously be
worth after 4 years? Round your answer to the nearest cent.
A. $306.53
B. $384.00
C. $396.93
D. $347.09
Answers
Answer:
Hi there
The formula of compounded continuously is
A=pe^rt
A future value?
P present value 300
R interest rate 0.07
T time 4 years
E constant
So
A=300×e^(0.07×4)
A=396.932 round your answer to get
A=396.93
Good luck!
Step-by-step explanation:
Use pythagorean theorem to solve the questions
Answers
9^2 + b^2 = 12^2
81 +b^2 = 144
-81 (subtract 81 from both sides of the equation)
b^2 = 63
b = square root of 63
Which graph represents the function f(x)= 0.2^x + 3
Answers
The third graph or bottom left graph represents [tex]f(x) = 0.2^{x} + 3.[/tex]
Step-by-step explanation:
Step 1:
To determine which of the given graphs represents the equation [tex]f(x) = 0.2^{x} + 3[/tex], we substitute some values in the place of x.
When [tex]x=0,[/tex] [tex]f(x) = 0.2^{x} + 3, f(0) = 0.2^{0} + 3= 4.[/tex]
Anything with an exponent of 0 will equal 1.
So the graphs on the right side cannot be the answers.
Step 2:
Now we substitute another value to determine which graph represents [tex]f(x) = 0.2^{x} + 3.[/tex]
When [tex]x=1,[/tex] [tex]f(x) = 0.2^{x} + 3, f(1) = 0.2^{1} + 3= 4.2.[/tex]
The value of f(x) when [tex]x=1[/tex] is lesser than the value of f(x) when [tex]x =0.[/tex]
So the third graph or bottom left graph represents [tex]f(x) = 0.2^{x} + 3.[/tex]
what is the quotient for -20/ -10
Answers
Answer:
2
Step-by-step explanation:
To find the quotient you just divide the numerator (-20) by the denominator (-10)
-20 / -10 = 2
(The negatives cancel out!)
Simplify the variable expression.
14a +(-3a)
Answers
Answer:
[tex]\huge\boxed{14a+(-3a)=11a}[/tex]
Step-by-step explanation:
[tex]14a+(-3a)\qquad(+)(-)=(-)(+)=(-)\\\\=14a-3a\qquad\text{combine like terms}\\\\=(14-3)a=11a[/tex]
Answer:
11a
Step-by-step explanation:
The addition sign does not add the coefficients together. It will already be subtraction with the negative 3a. So, that means the new equation is 14a-3a, then subtracting 14-3 equates to 11.
Omar and Caleb each had a repair made on their cars. The initial cost of each repair is $1,000. Omar and Caleb each have two coupons. Each of them uses both of his coupons toward the cost of the repair. One coupon is for $80 off the repair cost. The other coupon is for 15% off the repair cost. Omar and Caleb use their coupons in a different order, as shown below. •Omar uses the $80 off the repair cost coupon first. He then uses the 15% off the repair cost coupon on the remaining balance. •Caleb uses the 15% off the repair cost coupon first. He then uses the $80 off the repair cost coupon on the remaining balance. Who paid the least amount of money for his car repair and how much less did he pay? Show all work HELP PLEASE SO I WON'T FAIL THEN I won't GET A CARRR
Answers
Answer:
Caleb paid $12 less
Step-by-step explanation:
Omar1. $80 off
$1000 - $80 = $9202. 15% off
$920- 15% = $920 * 0.85 = $782Omar paid for repair: $782
Caleb1. 15% off
$1000 - 15% = $1000*0.85 = $8502. $80 off
$850 - $80 = $770Caleb paid for repair: $770
As per above:
$782 - 770 = $12Caleb paid $12 less than Omar for his car repair.
Final answer:
Omar and Caleb had car repairs costing $1,000. By utilizing coupons differently, Caleb paid $12 less than Omar for the repair.
Explanation:
Omar and Caleb each had a repair made on their cars costing $1,000 initially. Omar used the $80 coupon first and then the 15% coupon. Caleb used the 15% coupon first and then the $80 coupon.
Omar: $1,000 - $80 = $920 remaining, then 15% off: $920 - 0.15*$920 = $782
Caleb: $1,000 - 0.15*$1,000 = $850 remaining, then $80 off: $850 - $80 = $770
Caleb paid less by $12 compared to Omar for his car repair.
Find the median, lower quartile, and upper quartile for the set of data. 4, 1, 11, 8, 2, 9, 7, 6, 10, 5 Median = Lower quartile = Upper quartile =
Answers
Answer:
the answer is 6.5, 4, and 9.
Step-by-step explanation:
The median is 6.5.
The lower quartile is 4.
The upper quartile is 9.
What is a median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
To find the median, we need to first put the data in order:
1, 2, 4, 5, 6, 7, 8, 9, 10, 11
There are 10 numbers in the data set, so the median is the average of the two middle numbers:
Median = (6 + 7)/2 = 6.5
To find the lower quartile, we need to find the median of the lower half of the data set: 1, 2, 4, 5, 6
There are 5 numbers in the lower half, so the median is the middle number:
Lower quartile = 4
To find the upper quartile, we need to find the median of the upper half of the data set: 7, 8, 9, 10, 11
There are 5 numbers in the upper half, so the median is the middle number:
Upper quartile = 9
Thus,
The median, lower quartile, and upper quartile are 6.5, 4, and 9.
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Can someone help me with this ?
Answers
The question lacks sufficient detail to determine the subject or grade level; the student is requested to provide more information for an accurate response.
Explanation:It appears there was some confusion in the question you have asked. Unfortunately, without specific details, it is difficult to determine the subject or grade level associated with your question.
To provide a detailed and accurate answer, it's important to have the full context of the question.
Please provide additional information or clarify your question by including the subject matter and the specific details of the schoolwork problem you are encountering. Once you provide the necessary details, I would be more than happy to assist you.
Remember, the more specific you are in your query, the more precise and helpful the guidance can be.
if a circle has the radius 50cm what is the area
Answers
Step-by-step explanation:
I found it on Google, hopefully it's right
Determine the missing information in the paragraph proof. Given: Lines a and c intersect at point S, creating 4 angles. Prove: Corresponding angles are congruent. Lines a and c intersect at point S. Line c is diagonal and also contains points R, Q, P. Line a is horizontal and also contains points U, T. We are given that lines a and c intersect at point S. Translate line a down line c until point S reaches point Q. Call the new line through Q line b. Because translations preserve orientation, lines a and b are ________. Because translations preserve angle measure, ∠RSU ≅ ∠RQU'. For the same reason, ∠RST ≅ ∠RQT', ∠PSU ≅ ∠PQU', and ∠PST ≅ ∠PQT'. Each of the angle pairs are corresponding angles. Therefore, corresponding angles are congruent. parallel perpendicular congruent reflected
Answers
Answer:
©The answer is Parallel
Step-by-step explanation:
Answer:
Parallel
Step-by-step explanation:
What is the value of x in the equation 2x + 3y = 36, when y = 6?
Answers
Answer:
9
Step-by-step explanation:
2x+3(6)=36
2x+18=36
-18= -18
2x=18
___ ___
2 2
x=9
To find the value of x, substitute/plug in 6 into "y" since y = 6, then isolate/get the variable "x" by itself in the equation:
2x + 3y = 36 Plug in 6 into "y"
2x + 3(6) = 36
2x + 18 = 36 Subtract 18 on both sides
2x = 18 Divide 2 on both sides to get "x" by itself
x = 9
PROOF
2x + 3y = 36 Plug in 6 into "y" and 9 into "x"
2(9) + 3(6) = 36
18 + 18 = 36
36 = 36
Which of the following is equivalent to the complex number i^80
Answers
The equivalent to the complex number i^80 is 1
How to determine the equivalent?The complex number is given as:
i^80
In complex numbers:
i^4 = 1
So, we have:
i^80 = (i^4)^20
Substitute i^4 = 1
i^80 = (1)^20
Evaluate
i^80 = 1
Hence, the equivalent to the complex number i^80 is 1
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Explain step by step how you factor:
6x^2+ 11x + 3
Answers
Answer:
6x^2+ 11x + 3
= (3x +1) (2x +3)
Step-by-step explanation:
Math Term Definition. Factor. To factor a number means to break it up into numbers that can be multiplied together to get the original number. EXAMPLES: 6 = 3 x 2 so, factors of 6 are 3 and 2 9 = 3 x 3 so, factors of 9 are 3 and 3 Sometimes, numbers can be factored into different combinations.