Answers
Answer:
AGIB
Step-by-step explanation:
I solved it eh.
Pretty simple honestly.
But school ends!
Each side and each area were calculated using the Pythagoras theorem.
What is the Pythagoras theorem?The Pythagoras theorem states that, in a right triangle, the sum of squares of shorter sides is equal to the square of the hypotenuse.
So, using the Pythagoras theorem
[tex]TU^2=175^2-79^2[/tex]
[tex]TU^2=24384[/tex]
[tex]TU=156.15[/tex]
So, the corresponding area of the rectangle = 156.15*79 =12335.85 square units.
Similarly, [tex]GH = \sqrt{207^{2}-98^2 }[/tex]
[tex]GH=182.33[/tex]
So, the corresponding area of the triangle = 0.5*182.33*98 = 8934.27 square units.
Thus, each side and each area were calculated using the Pythagoras theorem.
To get more about right triangles visit:
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Related Questions
Use the relationships between the angles to find the value of . 75° 40 X 15 degrees
Answers
Answer:
x = 65
Step-by-step explanation:
All angles in the triangle equal 180
Set up your formula as
180 = x+75+40
180-75-40=x
65=x
find the area of the trapezoid?
Answers
Answer:
46,746 mm²
Step-by-step explanation:
½×(210+84)×318
= 46,746 mm²
Lena has two coupons for pants.
Coupon A: 45% off of $47 pants
Coupon B: $25 rebate on $47 pants
Choose the coupon that gives the lower price.
Answers
Answer:
coupon A
Step-by-step explanation:
coupon A 45%÷100=0.45 so 0.45×47= gives 21.15. coupon B 25÷2=23.50 so that the solution the lower price is coupon A $21.15
A chord consists of notes that sound good together. The C major chord starting at middle C has the following frequencies: C - 262 Hz E - 330 Hz G - 392 Hz determine the ratio of the frequency of E to C. Express the answer in a simple integer ratio. How many E waves will fit in the length of four C waves. a. 2 b. 3
Answers
Answer:
The frequency of note E is:
f(E) = 330 Hz
The frequency of note C is:
f(C) = 262 Hz
The ratio of the frequency of note E to the frequency of note C is just the quotient of these two frequencies:
r = f(E)/f(C) = 330Hz/262Hz = 330/262 = 1.26
Now, we want to find how man E waves will fit in the length of four C waves.
Note that here the word "length" is used, so we need to work with the wavelengths, not with the frequencies.
For waves, we have the relationship:
v = f*λ
where:
v = velocity (in this case, velocity of the sound = 343 m/s)
f = frequency
λ = wavelength.
So, the length of a single E wave is:
λ(E) = (343 m/s)/(330 1/s) = 1.04 m
And the length of a single C note is:
λ(C) = (343 m/s)/(262 1/s) = 1.30 m
In four C waves, the length is:
4*λ(C) = 4*1.30m = 5.2m
The number of E waves that fit in the length of four C waves is equal to the quotient between the length of four C waves and one E wave:
N = (4*λ(C))/(λ(E) ) = (5.2 m)/(1.04m) = 5.14
So we can fit 5 E waves into four C waves.
Answer:
The ratio of the frequency of E to C can be found by dividing the frequency of E by the frequency of C:
330 Hz / 262 Hz ≈ 1.26
To express the answer in a simple integer ratio, we can divide both 330 Hz and 262 Hz by their greatest common factor, which is 2:
330 Hz / 2 = 165 Hz
262 Hz / 2 = 131 Hz
So the ratio of the frequency of E to C is:
165 Hz / 131 Hz = 15/12 ≈ 1.25
This ratio is approximately equal to 5/4
Therefore, the answer is (A) 5 to 4
1. last question. please help me out thank you. ill mark you brainlist
Answers
Answer:
-7
Step-by-step explanation:
Answer:
x = -7
Step-by-step explanation:
3x + 6 = x - 8
-x -x
(subtract x from both sides)
2x + 6= −8
-6 -6
(subtract 6 from both sides)
2x = -14
/2 /2
(divide 2 by both sides)
x = -7
hope this helped!
in me franklins algebra course, eight students recently took a test their grades were as followed: 35, 77, 80, 86, 87, 90, 94, 100
calculate the mean and median of this data set
Answers
Answer:
Mean= sum/no.
= 35+77+80+86+87+90+94+100 / 8
= 649/8
=81.125 was the mean
Median: the middle number
35, 77, 80, 86, 87, 90, 94, 100
Both are in the middle so: 86+87/2
=173/2
=86.5 as the median
Step-by-step explanation:
followed: 35, 77, 80, 86, 87, 90, 94, 100
calculate the mean and median of this data set
PLEASEEEE HELPPP MEEE.
DUE RIGHT NOW!!
Topic: Math
Solve all the questions
Answers
Answer:
1. x= 9
2. x= −2
3. 51 inches
4. $213.11 each month
Step-by-step explanation:
1. Simplify both sides of the equation.
x + 7 + 7x= 25 + 6x
Combine Like Terms
(x + 7x) + (7)=6x + 25
8x + 7= 6x + 25
8x + 7= 6x + 25
Subtract 6x from both sides.
8x + 7 − 6x= 6x + 25 − 6x
2x + 7= 25
Subtract 7 from both sides.
2x + 7 − 7= 25 − 7
2x= 18
Divide both sides by 2.
2x/2= 18/2
2. Subtract 5x from both sides.
x − 5x= 5x + 8 − 5x
−4x= 8
Divide both sides by -4.
−4x/−4= 8/−4
3. First find the perimeter of the trapezoid
4 + 3 + 4 + 8= 19
A square has all equal sides
8 * 4= 32
Add them together
19 + 32 = 51 inches
4. Subtract the amount she put for finance from the total
1598.66 - 320 = 1278.66
Then divide that amount by the 6 months
1278.66 divided by 6 = 213.11
$213.11 each month
George is planning to attend a public university after he graduates from high school in 1.5 years. He is devising a plan to save money each month to help with the expenses of attending the university. The cost of attending the public university for one-year is $31,800. His family has promised to contribute $16,500 each year he is in school. What is the minimum amount of money George must contribute to his savings per month for the next 1.5 years to have enough money to pay for his first year of tuition?
a
$625
b
$900
c
$850
d
$775
Answers
take the tuition total and subtract the amount his parents are contributing then divide by the amount of months (18)
please rank brainliest if you can:)!!!
A. 65
B. 30
C. 10
D. 50
Answers
Answer:
50
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
D. 50
Step-by-step explanation:
∠CGF and ∠AFG add up 180° because they are same side interior angles. We can write an equation to model the situation:
m∠CGF + m∠AFG = 180°
And, we can substitute:
3x - 20 + x = 180
4x - 20 = 180
4x = 200
x = 50
What is the probability of rolling a 6 and then a 7 on a number cube?
NO LINKS PLEASE!
Answers
Answer:
the probability of rolling 6 is 16 or 16.7%.
the probability of rolling 7 is 0.
Step-by-step explanation:
7 is 0 because its impossible to roll a 7 on one number cube.
A hospital recorded the weights, in ounces, of newborn babies for two weeks. The
results are listed below.
Weights of babies born during week one: 128, 105, 80, 82, 96, 98, 87, 100, 112, 126
Weights of babies born during week two: 75, 85, 90, 97, 89, 105, 110, 127, 129, 130
Which statement is true?
Answers
Answer:
The standard deviation for week two was about 3 ounces more than the standard deviation for week one
Step-by-step explanation:
Given
[tex]Week\ 1: 128, 105, 80, 82, 96, 98, 87, 100, 112, 126[/tex]
[tex]Week\ 2: 75, 85, 90, 97, 89, 105, 110, 127, 129, 130[/tex]
See attachment for options
Required
The true statement
Checking the standard deviation
For week 1
Calculate the mean:
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\bar x = \frac{128+ 105+ 80+ 82+ 96+ 98+ 87+ 100+ 112+ 126}{10}[/tex]
[tex]\bar x = \frac{1014}{10}[/tex]
[tex]\bar x_1 = 101.4[/tex]
Then standard deviation
[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}[/tex]
[tex]\sigma_1 = \sqrt{\frac{(128 - 101.4)^2 +............+ (126- 101.4)^2}{10}}[/tex]
[tex]\sigma_1 = \sqrt{\frac{2522.4}{10}}[/tex]
[tex]\sigma_1 = \sqrt{252.24[/tex]
[tex]\sigma_1 = 15.88[/tex]
For week 2, we have:
[tex]\bar x = \frac{75+ 85+ 90+ 97+ 89+ 105+ 110+ 127+ 129+ 130}{10}[/tex]
[tex]\bar x = \frac{1037}{10}[/tex]
[tex]\bar x_2 = 103.7[/tex]
Then standard deviation
[tex]\sigma_2 = \sqrt{\frac{(75 - 103.7)^2 +................+ (130- 103.7)^2}{10}}[/tex]
[tex]\sigma_2 = \sqrt{\frac{3538.1}{10}}[/tex]
[tex]\sigma_2 = \sqrt{353.81[/tex]
[tex]\sigma_2 = 18.81[/tex]
Compare the standard deviations
[tex]\sigma_1 = 15.88[/tex]
[tex]\sigma_2 = 18.81[/tex]
Calculate the difference:
[tex]d = \sigma_2 - \sigma_1[/tex]
[tex]d = 18.81 - 15.88[/tex]
[tex]d = 2.93[/tex]
[tex]d \approx 3[/tex]
This implies that option (b) is true
Help please need answer ASAP
Answers
Answer:
60
Step-by-step explanation:
45 is a vertical angle so the angle opposite will also be 45 degrees. There is also 75 in the bottom left corner of the trianlge. 45 + 75 is 120. In a triangle the angles all equal 180 degrees. subtract 120 from 180. 180-120=60.
Hope this helps :D
Question 8 of 25
If a sample mean is 96, which of the following is most likely the range of
possible values that best describes an estimate for the population mean?
O A. (76, 108)
O B. (82, 114)
O C. (78, 110)
O D. (80, 112)
Answers
The correct range is (80, 112).
The correct option is (D).
What is mean?Mean is also said to be arithmetic mean. The meaning of mean is to evaluate the average. It is defined as the average of the given numbers.
As per the given data:
We are given the mean of the sample.
The mean of the sample = 96
In each option, a range is given.
We have to find out which is the correct range for the given mean.
For a range (a, b) the mean is given by:
mean = (a + b)/2
By using the above definition and checking all the options:
For (76, 108)
mean = (76 + 108)/2 = 92, Not the correct range
For (82, 114)
mean = (82 + 114)/2 = 98, Not the correct range
For (78, 110)
mean = (78 + 110)/2 = 94, Not the correct range
For (80, 112)
mean = (80 + 112)/2 = 96, The correct range
The correct range is (80, 112).
Hence, the correct range is (80, 112).
To learn more about mean, click:
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QUESTION 2 PLEASE HELP ME!!!
Answers
Answer:
Look it up up
Step-by-step explanation:
your school is having a fundraiser in order to pay for t-shirts. They need to raise $882.69. They have already collected $92.85 in donations. Their goal is to have $190 donated each week. How many weeks do they need to fundraise?
Answers
= $786.84
then divide by $190
= 4.14
= 5
therefore they need to fundraise for 5 weeks
There is 5 weeks do they need to fundraise.
What is the inequality?Inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol.
Your school is having a fundraiser in order to pay for t-shirts.
They need to raise $882.69.
They have already collected $92.85 in donations.
Their goal is to have $190 donated each week.
Let, x be the number of weeks do they need to fundraise.
The number of weeks do they need to fundraise is given by;
[tex]\rm 92.85 +190x > 882.69\\\\190x > 882.69-92.85\\\\ 190x > 789.84\\\\x > \dfrac{789.84}{190}\\\\x > 4.15[/tex]
Hence, there is 5 weeks do they need to fundraise.
Learn more about inequality here;
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Solve for x in the diagram below.
Answers
Step-by-step explanation:
x+(3x+10)=90
4x+10=90
4x=80
x=20 Ans
A 16 ft ladder leans against a wall so that the base of the ladder is 5 ft away from the base of the wall. How far up the wall does the ladder reach.
Answers
Answer:
The ladder would reach 15.2 feet up
What is the length of the hypotenuse
Answers
Answer:
C=17
Step-by-step explanation:
15^2+8^2=c^2
C^2=289
C=17
Ayuda plis, no le entiendo ni mais :"
Answers
Answer:
Entiendo tu idioma, hablas español, ¿no? Me encantaría ayudarte hablo inglés y español
Step-by-step explanation:
solve for x. Leave your answer in the simplest radical form.
Answers
Answer:
x = 2[tex]\sqrt{5}[/tex]
Step-by-step explanation:
'x' can represent the hypotenuse of a right triangle with a base of 4 (11-7) and a height of 2
use Pythagorean Theorem to find 'x':
2² + 4² = x²
4 + 16 = x²
x² = 20
x = [tex]\sqrt{20}[/tex]
x = [tex]\sqrt{4}[/tex]·[tex]\sqrt{5}[/tex]
x = 2[tex]\sqrt{5}[/tex]
Solve log2 x = log5 3+1 by graphing. round to the nearest tenth
Answers
Answer:
the answer is 3.2
Step-by-step explanation:
x≈3.2
PLEEEEASEEE HELP ASAP
In the diagram, the measures of ∠1 and ∠4 are 105°. The measures of ∠5 and ∠8 are 115°. Are lines c and d parallel
a p e x
Answers
Answer:
a
Step-by-step explanation:
Answer:
Option A
Step-by-step explanation:
I just got done with this same quiz and i got a 100 .
The two-way frequency table shows the laptop color preferences, for a random sample of high school students. Which statement is correct? Select one:
O Most males preferred black laptops.
O Most females preferred black laptops.
O Red was the least preferred color for a laptop, amongst male high school students surveyed.
OBlack was the most preferred color for a laptop, amongst all high school students surveyed.
Answers
Answer:
Most males preferred black laptops
Step-by-step explanation:
21 3/5 is what percent of 40?
Answers
Answer:
21.6 is 54% of 40.
Step-by-step explanation:
HOPE THIS HELPS!!!
Have a great day!
- Hailey: )
The volume of a cone is
42in ^ 3 and the cone's base area is 9in ^ 2
What is the height of the cone ?
Answers
Answer: The answer is 0.495
Step-by-step explanation: I got this answer from a volume calculator, I just looked it up on the internet. Hoped this helped!
URGENT THIS IS FOR FINALS CAN SOMEONE PLZ SOLVE IT I will brain list
Answers
Answer:
were is the line
Step-by-step explanation:
Answer:
1- y=2x-5
2- y=-1/6x-5
Hope this helps you!!
3
What is the difference of
21
?
4
Answers
Answer:
The difference is 4–3. If you want the difference between 3 and -4, then the difference is 7.
Step-by-step explanation:
brainliest goes to whoever answers the question correctly also if you want more points answer my other questions
Answers
Answer:
B
Step-by-step explanation:
Amanda does start with 30 homework questions
She does complete 3 questions every 2 minutes
After 10 minutes she has completed half of her questions
But she does not finish 2 questions every 3 minutes
hope this helps <3
Jeffrey's recipe for oatmeal muffins calls for 2 3/4 cups of oatmeal and makes one dozen muffins. If he makes 2 dozen muffins for a club meeting and 1 1/2 dozen muffins for a family reunion, how much oatmeal will he use?
Answers
Answer:
5
Jeffrey will use 9 __ cups of oatmeal
8
Step-by-step explanation:
2.75 cups of oatmeal per 1 dozen
2.75 x 2 = 5.5
2.75 + 2.75(1/2) = 4.125
add
5.5 + 4.125 =
9.625 cups of oatmeal
or
9 5/8 cup
In summer, the price of strawberries goes up by $1.25 per pound. Sam bought two pounds of strawberries at the new price for $8.46. Write an algebraic equation to determine the original price per pound (s). Use the equation to find the original price per pound.Show your work.
Answers
Answer:
The original price was $7.21
Step-by-step explanation:
8.46-1.25= 7.21