Answers
The value of c = 4.28 cm and the value of d = 30.3 cm
Consider the big triangle
The hypotenuse of the triangle = 39 cm
The base of the triangle = 25 cm
The vertical side = 7c
According to Pythagorean theorem
The square of the hypotenuse is equal to the sum of the square of the base and the square of the vertical side
[tex]39^2=25^2+(7c)^2[/tex]
1521 = 625 + [tex]49c^2[/tex]
[tex]49c^2[/tex] = 1521 - 625
[tex]49c^2[/tex] = 896
[tex]c^2[/tex] = 896 / 49
[tex]c^2[/tex] = 128/7
c = 4.28 cm
Consider the small triangle
The vertical side = 4c
= 4 × 4.28
= 17.12 cm
[tex]d^2=25^2+17.12^2[/tex]
[tex]d^2[/tex] = 625 + 293.09
[tex]d^2[/tex] = 918.09
d = 30.3 cm
Hence, the value of c = 4.28 cm and the value of d = 30.3 cm
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Related Questions
An 8-cup container of window cleaner costs $6.00. What is the price per pint?
Answers
Answer:
Step-by-step explanation:
0.75
hope this helps
Cannot figure it out.
Answers
Answer:
D -6x + 2 = -15
Step-by-step explanation:
-4(3/2 x - 1/2) = -15
-4 × 3/2 x + (-4) × (-1/2) = -15
-6x + 2 = -15
Answer: D -6x + 2 = -15
which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together? 5x 13y
Answers
The constants that we have to multiply to eliminate one variable from the system are 12 and 5.
The equations are
5x+13y = 232
12x + 7y = 218
Here we can cancel both x term and y terms, lets choose x terms and apply the elimination method
The coefficient of x in first equation is 5 and 12 in second equation
We have to make it same
Prime factorization
5 = 5×1
12 = 2×2×3
LCM (5, 12 ) = 2×2×3×5 = 60
Multiply the first equation by 12 and second equation by 5
60x + 156y = 2784
60x + 35y = 1090
Subtract equation 2 from equation 1
121y = 1694
Here we have eliminated x term
Hence, the constants that we have to multiply to eliminate one variable from the system are 12 and 5.
The complete question is:
Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together? 5x + 13y = 232
12x + 7y = 218
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Part 1: a fisherman standing down river from a large hydropower dan notices that the water level is at its lowest point of 24 inches at 8am and then at its highest point of 38 inches at 10:30am. Sketch a graph of the rivers water level, then write an equation that models the depth of the water in inches as a function of time in hours.
Part 2 : there is a section of the river where the fish become the most active when the river’s depth is above 35 inches. He works from 9am to 5pm but wants to fish during a period of time when fish are the most active. Between which times of the day should he try to fish?
Answers
1. The cosine function that models the situation is:
y = 7cos(0.4πx) + 31.
2. The times of the day that he should try to fish are between 12:15 pm and 1:45 pm.
What is a cosine function?The cosine function is defined by the rule as follows:
g(x) = acos(bx+c)+d.
The coefficients have the roles listed as follows:
a: amplitude.b: The period is of 2pi/B.c: phase shift.d: vertical shift.The amplitude is given by half the difference of the highest and of the lowest value, hence:
a = 0.5 x (38 - 24) = 7.
The vertical shift is of d = 31, as a standard cosine function with amplitude 7 varies between -7 and 7, not between 24 and 38.
The difference in the inputs between the maximum and the minimum value is of half the period, hence the period in hours is obtained as follows:
Period = 2.5 hours/0.5 = 5 hours.
Thus the coefficient B of the function is:
2π/B = 5
B = 2π/5
B = 0.4π.
There is no phase shift, as we suppose 8 a.m. as the time zero.
Hence the equation is:
y = 7cos(0.4πx) + 31.
He should try to fish when the depth is above 35 inches, hence, from the graph, these are the times in which the function is above the horizontal line y = 35, hence:
Between 12:15 pm and 13:45 pm.
As:
4.23 hours after 8 am is around 12:15 pm, as 0.23 hours = 0.23 x 60 minutes.5.766 hours after 8 am is around 1:45 pm.More can be learned about cosine functions at https://brainly.com/question/28574324
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QR is a midsegment of triangle BCD. Solve for the value of x.
Answers
The value of x when QR is a midsegment of triangle BCD is 11 units.
According to the question,
We have the following information:
QR is a midsegment of triangle BCD.
Now, we know that the length of midsegment of any triangle is equal to half of the length of side corresponding to the midsegment.
So, we have the following expression:
QR = BD/2
Putting the values of QR and BD from the figure:
x-2 = (x+7)/2
Using the cross multiplication method:
2x-4 = x+7
Moving x from the right hand side to the left hand side:
2x-x = 7+4
x = 11 units
Hence, the value of x when QR is a midsegment of triangle BCD is 11 units.
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Find the value of a5
Answers
Answer:
20
Step-by-step explanation:
What is the image of the point (4,0) after a rotation of 90 counterclockwise about the origin ?
Answers
Answer:
The image point of (4,0) after the rotation of 90° counterclockwise about the origin is (-4,0)
the radius, r, of the base of a right circular cone is 4 centimeters, and the slant height, l, is 15 centimeters. what is the surface area of the cone?
Answers
188.4 cm² is the surface area of the cone .
What is known as a cone?
A cone is a three-dimensional geometric object with a smooth transition from a flat, usually circular base to the apex, also known as the vertex.In mathematics, a cone is a recognizable three-dimensional geometric shape having a smooth and curving surface pointing upward. The word "cone" comes from the Greek word "konos," which denotes a peak or a wedge. The base is the flat area, while the pointy end is referred to as the apex.given r = 4 cm
l = 15 cm
the curved surface area = πrl
= 3.14 * 4 * 15
= 188.4 cm²
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Answer: 76 cm2
Step-by-step explanation:
I Did it trust
To assess the accuracy of a laboratory scale, a standard weight that is known to weigh 1 gram is repeatedly weighed a total of n times and the mean of the weighings is computed. Suppose the scale readings are normally distributed with unknown mean and standard deviation g. How large should n be so that a 95% confidence interval for has a margin of error of ± 0. 0008?.
Answers
The formula for the sample size in a normally distributed population can be used to calculate the minimal sample size, which is 38416.
Given,
To assess the accuracy of a laboratory scale, a standard weight known to weigh 1 gram is repeatedly weighed a total of n n times and the mean of the weighs are computed.Suppose the scale readings are Normally distributed, with unknown mean m and standard deviation σ = 0.01 grams.Sample size formula;
n = ((z × σ) / E)²
When z is the crucial z-value, E is the margin of error, and σ is the standard deviation.
Now change the known values in the formula above.
n = ((1.96 × 0.01) / 0.0001)²
n = 38416
Therefore,
The minimum sample size for the distribution is 38416.
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450−[14+(−4)¯¯¯¯¯¯¯¯¯¯¯¯×12−{350÷(−7)+10×5}]=
Answers
Answer:
Step-by-step explanation:
330
Solve the equation. Check your solution. 4(3/8x + 3) - x =8(1/4x - 3) + 6
Answers
i broke it down to the lowest so it should be x=20
find the area of the shaded region
Answers
Answer:
40
Step-by-step explanation:
8x4 is 32 and to find a triangle is Length x Hight devided by 2.
please answer this question
Answers
Answer:
a) 10 ; scale factor is 2
b) 15; scale factor 5
c) 1.5; scale factor is ½ or 0.5
d) 6.3; scale factor is 3
e) 24, 2; scale factor is ⅛ 0.125
f) 4.6, 9; scale factor 3⅕ or 3.2
Step-by-step explanation:
a) to get form your first term to the corepnoding term you have to divide the first term form your second term for example 6÷3 is 2 so 2 is the scale factor. You multiply 5 by 2 so 5×2 is 10 the blank is 10
b,d and f) Do the same step process like what you do for letter a to get these terms
c and e) Do the same steps as a but keep in mind that because the number in the second term are smaller the scale factor is less then 1 so for c it would be ½ as opposed to 2 since the new number is smaller
the soccer team ratio of games won to games played was 3 to 8 if the team played 56 games how many did they win
Answers
They won 168/11 games.
From the question, we have
Ratio = 3:8
team played = 56 games
Won = 56*3/11
=168/11
=15.27
Divide:
Divide, in its simplest form, means to divide into two or more equivalent portions, spaces, groups, or divisions. Divide, in plain English, means to provide the entire thing to a group in equal portions or to divide it into equal pieces. Let's say a square is divided into two triangles with equal areas by a diagonal. A division operation may or may not provide an integer as the outcome. The outcome may occasionally take the form of decimal numbers.
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g suppose the eigenvalues are real, distinct, and non-zero. [i] if both eigenvalues were positive, how would the equilibrium at (0, 0) be classified?
Answers
As previously stated, a system will not be stable if its eigenvalues have any non-negative real parts, the system will be unstable if an eigenvalue has no imaginary part and is equal to zero. A trivial instance of the complex eigenvalue with a zero component exists here.
When both eigenvalues are zero, what takes place?
A zero eigenvalue implies the network being referred to is particular.The null space of the matrix is based on the eigenvectors that correspond to the zero eigenvalues.
When one eigenvalue is zero, what does this mean?
If and only if A is not invertible, then the number 0 is an eigenvalue of A.
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help me 20 point if you do
Answers
Answer: rotate 180° and translate down.
Step-by-step explanation:
hope this helps!
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Rotating angle 1 by 180° would leave it in the position of angle 4. From there, you can translate it directly down onto angle 8. This will prove congruency.
93 is what percent of 775?
Answers
Answer: 12%
Step-by-step explanation:
Answer: 12%
...............................
94mi? ft i need help witht
Answers
Answer:
496,320 feet
Step-by-step explanation:
94 miles x [tex]\frac{5280 feet}{1 mile}[/tex] = 496320 feet
What is the slope of the line graphed below?
A. -2
B. 2
C. 2
D.-2/2
Answers
Answer:
if this is not corecct do not blame me
-2/2
Step-by-step explanation:
Find the nth term of this quadratic sequence
3, 11, 25, 45, .
Answers
The term of the given quadratic sequence is found to be 3n² - n + 1 using the principle of mathematical induction.
Given,
In the question:
The quadratic sequence is :
3, 11, 25, 45, ...
To find the nth term of the quadratic sequence.
Now, According to the question;
The first term of the sequence is 3, the second term is 11, the third term is 25, and the fourth term is 45.
The difference between the first and second terms can be calculated as follows:
11-3 = 8
The difference between the second and third terms can be calculated as follows:
25-11 = 14
The difference between the third and fourth terms can be calculated as follows:
45-25 = 20
The sequence is expressed as follows:
3,3+8,11+11,25+20,...
The difference between consecutive terms expands by 6.
Use the principle of mathematical induction.
6[tex](\frac{n(n+1)}{2} )[/tex]
= 3n(n+1)
The sequence's nth term can be calculated as follows:
term = 3n(n+1) - 4n + 1
= 3n² - n + 1
Hence, the term of the given quadratic sequence is found to be 3n² - n + 1 using the principle of mathematical induction.
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X^3+5x factored form
Answers
Answer:
[tex]x(x^{2}[/tex] + [tex]5)[/tex]
Step-by-step explanation:
[tex]Factor ( x^{3}[/tex] + [tex]5x )[/tex]
[tex]x^{3}[/tex] + [tex]5x[/tex]
= [tex]x(x^{2}[/tex] + [tex]5)[/tex]
Hope this helps! :)
Julian sells 4 pieces of artwork for $72, and each piece is sold at the same rate.
How much does one piece of Julian's artwork cost?
Answers
Answer:
The answer is $18
Step-by-step explanation:
To solve this all you would do is divide $72 by 4 to get $18
Please show work! Will give brainliest if correct and with work shown! 100 pts!
Joe has 10 bills in his wallet. The total amount of money is $34, and he has only $1 and $5 bills. If Joe has two more $5 bills than $1 bills, find the number of each type of bill that he has in his wallet. Use a system of equations to find the answer.
Answers
Answer:
Joe has 6 $5 bills and 4 $1 bills.
Step-by-step explanation:
Joe has 10 bills, $1 and $5, so:
x + y = 10Joe has a total of $34, so:
x + 5y = 34Substitution can be used between the two equations to achieve the answer.
x + y = 10x + 5y = 34Isolate x on one side in line 2: x = 34 - 5yUse substitution and plug the x we just found into the equation in line 1(34 - 5y) + y = 1034 - 5y + y = 1034 - 4y = 10-4y = -24y = 6Plug y = 6 into the equation in line 1 to find xx + 6 = 10x = 4Check to make sure it works4 + 6 = 104 + 5(6) = 4 + 30 = 346 - 4 = 2 (There are two more $5 bills than $1 bills)On the seventh grade trip to Washington DC for every 8 students there were 3 chaparones twelve chaperones were needed how many students went on the trip
Answers
Answer:
32
Step-by-step explanation:
i hope this helped
A recipe uses 300300300 grams of flour for every 200200200 grams of sugar. 1. Write an equation that represents how many grams of flour we need (fff) for some number of grams of sugar (sss).
Answers
Ratio is always written as x/y where y can never be zero.
Grams of flour needed for every 200200200 and grams of sugar = 300300300 grams
The equation that represents how many grams of flour we need for some grams of sugar is fff = 222/333
Let’s assume fff as grams of flour and sss as grams of sugar.
So, the ratio for grams of flour:grams of sugar will be,
= fff:sss = 200200200:300300300
Hence, fff = 222/333 × sss
Ratio is a comparison between two things where it tells how much one thing contains the other thing.
Hence the answer is, Ratio is always written as x/y where y can never be zero.
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Answer:
your equation is f = 3/2s so you're going to have to need 750 grams of flour for 500 grams of flour
Jacqueline bought a bicycle at wholesale cost for $210 dollars. If the bicycle is normally $300 from the local bike shop, what is the percent markup the bike shop adds to the wholesale cost?
Answers
If Jacqueline bought a bicycle at wholesale cost for $210 dollars. If the bicycle is normally $300 from the local bike shop, Then 30% markup the bike shop adds to the wholesale cost
What is Percentage?Percentage, a relative value indicating hundredth parts of any quantity.
Given,
Jacqueline bought a bicycle at wholesale cost for $210 dollars.
The actual price of bicycle is normally $300 from the local bike shop.
We need to find the percent markup the bike shop adds to the wholesale cost.
For this we need to find the difference and we have to divide it by actual price
300-210/300=90/300=0.3
Now multiply 0.3 with 100 as hundredths to get the percentage value
0.3×100=30
Hence 30 percent markup the bike shop adds to the wholesale cost
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help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The number of cheese produced in 2006 is 7.8 thousand
The number of cheese produced in 2014 is 9.8 thousand
What is the quantity of cheese produced?The given equation that models the growth of cheese is known as an exponential equation. An exponential equation is a non-linear equation.
The given exponential equation is y = 7.1(1.03)^x
Where:
7.1 = quantity of cheese produced in 2003 1.03 = growth rate of cheese x = number of yearsNumber of cheese produced in 2006 = 7.1(1.03)^3 = 7.8 thousand
Where x = 2006 - 2003 = 3
Number of cheese produced in 2014 = 7.1(1.03)^11 = 9.8 thousand
Where x = 2014 - 2003 = 11
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The table compares the average daily temperature and ice cream sales each day.
Temperature (°F) Ice Cream Sales
56.1 $107
60.3 $116
64.2 $120
66.4 $122
71.3 $125
73.9 $130
74.2 $132
75.2 $135
80.1 $141
84.8 $152
What is the slope of the line of best fit, where x represents the average daily temperature and y represents the total ice cream sales? (Round your answer to one decimal place.)
6.3
4.2
2.8
1.4
Answers
The slope of the line of best fit, where x represents the average daily temperature and y represents the total ice cream sales, is of:
1.4.
How to obtain the line of best fit?The line of best fit is obtained inserting the points of data, given either in a table or in a scatter plot, in a linear regression calculator.
The format of the line of best fit is the same as of a standard linear function, as follows:
y = mx + b.
In which the parameters are given as follows:
m represents the slope.b represents the y-intercept.For this problem, the points are given as follows:
(56.1, 107), (60.3, 116), (64.2, 120), (66.4, 122), (71.3, 125), (73.9, 130), (74.2, 132), (75.2, 135), (80.2, 141), (84.8, 151).
Inserting these points into a calculator, the equation is presented as follows:
y = 1.4x + 26.8.
Hence the slope of the function is of:
m = 1.4.
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2(1 +6x) + 2(3-6x) = 7x - 5x
Answers
Answer:
Step-by-step explanation:
23.35 divided by 27.65
round answer in 2 decimal places
Answers
Answer:
0.84
Step-by-step explanation:
23.35 divided by 27.65 = 0.84448462929
Rounded to the first 2 decimal places would be:
0.84
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Answer:
Step-by-step explanation:
[tex]\frac{23.35}{27.65} \approx{0.84}\\[/tex]
