un joyero vende 13 anillos de oro y 18 de plata por 9405 euros. sabiendo que el anillo de oro cuesta el triple que el de plata ¿cual es el precio de cada anillo?
Name three properties that a square and a rhombus share.
The measure of an angle is 8 times the measure of its complement. tina writes an equation and finds the correct measure of each angle. which shows the equation tina could have written and the angle measures she could have found?
The measure of angles are 10 and 80 degree.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
We have,
let the complementary angle = x
and, the another angle is = 8x
We know the complementary angle sum to 90 degree.
So, x + 8x = 90
9x = 90
x =10
Thus, the measure of angles are 10 and 80 degree.
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Can someone help me in this trig question, please? thanks
A person is on the outer edge of a carousel with a radius of 20 feet that is rotating counterclockwise around a point that is centered at the origin. What is the exact value of the position of the rider after the carousel rotates 5pi/12
The exact value of the position of the rider after the carousel rotates 5π/12 is 5 (-√2 + √6), 5(√2 + √6).
The positionSince the position of the carousel is (x, y) = (20cosθ, 20sinθ) and we need to find the position when θ = 5π/12 = 5π/12 × 180 = 75°
So, substituting the value of θ into the positions, we have
(20cos75°, 20sin75°)
The value of 20cos75°
20cos75° = 20cos(45 + 30)
Using the compound angle formula
cos(A + B) = cosAcosB - sinAsinB
With A = 45 and B = 30
cos(45 + 30) = cos45cos30 - sin45sin30
= 1/√2 × √3/2 - 1/√2 × 1/2
= 1/2√2(√3 - 1)
= 1/2√2(√3 - 1) × √2/√2
= √2(√3 - 1)/4
= (√6 - √2)/4
= (-√2 + √6)/4
So, 20cos75° = 20 × (-√2 + √6)/4
= 5 (-√2 + √6)
The value of 20sin75°
20sin75° = sin(45 + 30)
Using the compound angle formula
sin(A + B) = sinAcosB + cosAsinB
With A = 45 and B = 30
sin(45 + 30) = sin45cos30 + cos45sin30
= 1/√2 × √3/2 + 1/√2 × 1/2
= 1/2√2(√3 + 1)
= 1/2√2(√3 + 1) × √2/√2
= √2(√3 + 1)/4
= (√6 + √2)/4
= (√2 + √6)/4
So, 20sin75° = 20 × (√2 + √6)/4
= 5(√2 + √6)
Thus, (20cos75°, 20sin75°) = 5 (-√2 + √6), 5(√2 + √6).
So, the exact value of the position of the rider after the carousel rotates 5π/12 is 5 (-√2 + √6), 5(√2 + √6).
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can someone help me on trigonometry ?
The length of a rectangle is increasing at a rate of 6 cm/s and the width is increasing at a rate of 4 cm/s. when the length is 16 cm and the width is 12 cm, how fast is the area of the rectangle increasing?
Which regular polygon would have each of its interior angles measure 120°? hexagon heptagon octagon nonagon?
Mark made a business trip of 250250 miles. he averaged 50mph50mph for the first part of the trip and 60mph60mph for the second part. if the trip took 4.54.5 hours, how long did he travel at each rate?
what are a) the ratio of the perimeters and b) the ratio of the areas of the larger figure to the smaller figure? the figures are not drawn to scale. a. 13/3 and 169/9 b. 13/3 and 16/9 c. 16/3 and 169/9 d. 16/3 and 16/9
what expression is equivalent to the division expression 3/4 divided by 4/5
Answer:
3/4 ÷ 4/5 = .75 ÷ .80
Step-by-step explanation:
3/4 ÷ 4/5
= .75 ÷ .80
= 0.9375
CAN SOMEONE HELP ME ON THIS
Determine whether quantities vary directly or inversely and find the constant of variation. If 5 bushels of wheat weigh 136 kg, how much do 3.5 bushels of wheat weigh?
Let the bushels of wheat is b and weight of the wheat is w.
We can say that more the bushels of wheat more will be the weight of the wheat.
Hence, the quantities vary directly.
Therefore, we have
[tex]b=kw[/tex], where k is the constant of variation.
Now, we have been given that 5 bushels of wheat weigh 136 kg. Thus, we have
[tex]5=136k\\ \\ k=\frac{5}{136}[/tex]
Thus, the constant of variation is [tex]\frac{5}{136}[/tex]
Now, we have been given 3.5 bushels of wheat. Hence, we have
[tex]3.5=\frac{5}{136} w\\ \\ w=\frac{136\times 3.5}{5} \\ \\ w=95.2[/tex]
Therefore, 3.5 bushels of wheat weigh 95.2 kg
Please someone help Me with this problem. I really need help.
NEED HELP ASAP!
Subtract.
(4x^2+8x−2)−(2x^2−4x+3)
Answer in standard form
At noon joyce drove to the lake at 30 mph, but she made the long walk back home at 4 mph. how many hours did she walk if she was gone for 17 hours
Answer:
i just did this on a quiz the answer was 15 hours
Step-by-step explanation:
You spend 60 on clothes and buy 3 dvd movies. your friend spends nothing on clothes and buys 8 dvd movies. you both spend the same amount of money. how much does each dvd movie cost?
Each DVD movie costs $12. This is calculated by setting up and solving an equation where the total spending on clothes and 3 DVDs equals the spending on 8 DVDs, as both parties spent the same amount.
To find out how much each DVD movie costs, we need to set up an equation based on the given information. You spent $60 on clothes and bought 3 DVD movies, while your friend spent $0 on clothes and bought 8 DVD movies. It is given that both of you spent the same amount of money. Let's denote the cost of each DVD movie as x.
The total amount you spent is the cost of the clothes plus the cost of the 3 DVD movies, which can be expressed as $60 + 3x. Your friend spent the cost of the 8 DVD movies, which is 8x. Since both amounts are equal, we have:
60 + 3x = 8x
Solving this equation for x:
Subtract 3x from both sides: 60 = 5xDivide both sides by 5: x = $12Therefore, the price of each DVD movie is $12.
On the first test, the mean is 70, the standard deviation is 5, and your score is 80. on the second test, the mean is 70, the standard deviation is 15, and your score is 85. compared to other students, how well did you do on the two tests?
85+88+87+80+x all divided by 5= 82
340+x=410
410-340=70
This is a "water tank" calculus problem that I've been working on and I would really appreciate it if someone could look at my work and tell me if I did it properly! Thank you.
A math book sells for $106.50. (a) find the amount of sales tax, to the nearest cent, if the sales tax rate is 8.5%. (b) find the total purchase price
Help Asap! 30 Points!
What is the volume of this sphere? r = 2.5 m
find the surface area of each figure. Round your answer to the nearest tenth, if necessary
Subtract.
(x + 1) − (−2x − 5)
Answer:
3x+6
Step-by-step explanation:
you have to distribute the negative to get the parentheses away and simplify
What phrase can you use to represent m-4? M less then 4/ 4 less then m/ m plus 4 or 4 less m
The phrase 'm less 4' or '4 less than m' can be used to represent the expression 'm-4'. The other phrases mentioned do not accurately represent the mathematical expression 'm-4'.
Explanation:The phrase that you can use to represent the expression m-4 is 'm less 4' or '4 less than m'. The phrase suggests that we are subtracting 4 from variable m. The phrase 'm plus 4' would be used to represent m+4 and does not apply here. So, in expressing the concept of subtraction in a phrase, we often say things like '4 less than m' which clearly conveys that 4 is being subtracted from m.
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A restaurant manager recorded the number of people in different age groups who attended her food festival: Histogram with title Food Festival Participants, horizontal axis labeled Age Group (yr) with bins 0 to 19, 20 to 39, 40 to 59, and 60 to 79 and vertical axis labeled Number of People with values from 0 to 60 at intervals of 10. The first bin goes to 20, the second goes to 40, the third goes to 60, and the last goes to 50. Which of the following frequency tables represents the data in the histogram accurately? Age Group (year) Number of People 0–19 20 20–39 60 40–59 40 60–79 50 Age Group (year) Number of People 0–19 20 20–39 60 40–59 50 60–79 40 Age Group (year) Number of People 0–19 20 20–39 40 40–59 60 60–79 50 Age Group (year) Number of People 0–19 60 20–39 20 40–59 40 60–79 50
Answer:
There are 3 times as many participants in the 40-59 age group than the 0-19 age group.
Step-by-step explanation:
Because when we take 20 and times it by three we get 60 and the 40-59 age group is 60 so there you go. Hope This Helps:) Brain-list would be greatly appreciated.
sketch one cycle of the cosine function y=-cos 3 theta
Answer with explanation:
The given cosine function is
y= - cos 3 (theta)= -3 cos A, where , theta =A.
→→Domain of Cos A
= All Real number
= Period is from (-π , π)
Range of Cos A=[-1, 1]
→Domain of Cos 3 A,will be also, all real number.
Period is from,
[tex][\frac{-\pi}{3},\frac{\pi}{3}][/tex]
But range of Cos 3A,will be same as ,Cos A which is equal to ,[-1,1].
→Plotted the graph of ,y=-cos 3 A, having cycle ,
[tex][\frac{-\pi}{3},\frac{\pi}{3}][/tex]
Find the missing term of the geometric sequence. 45 ___ 1620
The missing term in the geometric sequence 45, ___, 1620 is 270.
A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
Given the geometric sequence: 45, ___, 1620, we need to find the missing term.
Let's denote the missing term as a2 and the common ratio as r. The terms of the geometric sequence are determined by the formula:
an = a1 * rn-1
For our sequence:
The first term, a1, is 45.The third term, a3, is 1620.We express the third term in terms of the first term and common ratio:
1620 = 45 * r2
Solving for r2:
r2 = 1620 / 45
r2 = 36
r = 6
Since the common ratio, r, is 6, we can find the missing second term, a2:
a2 = a1 * r
a2 = 45 * 6 = 270
Thus, the complete sequence is 45, 270, 1620.
Eight pounds of ground beef are divided into quarter-pound hamburger patties. How many hamburger patties are there in total?
Ms. Acosta received a job as a teacher with a starting salary of $34,000. According to her contact, she will receive a 1.5% increase in her salary every year. How much will Ms. Acosta earn in 7 years
Factor completely: 6b - 8ab + 15 - 20a
Ethan correctly answers 80% of the total questions on his history test. He correctly answers 32 questions. What is the number of questions on Ethan's history test?