Answers
a = 25 sin 34
a = 14 m to nearest whole number
The measure of side a is 14.
We have,
We use the trigonometric identites:
Sin function
Now,
Sin A = Perpendicular / Hypotenuse
Sin 34 = a / 25
0.56 = a / 25
a = 0.56 x 25
a = 14
Thus,
The measure of side a is 14.
Learn more about trigonometric identities here:
https://brainly.com/question/14746686
#SPJ6
Related Questions
What is the area of a circle with a radius is of 6 inches?
Answers
Using radicals, write an equivalent expression for 2 1/3
Answers
2^(1/3) = ∛2
The equivalent expression of [tex]2^{\frac{1}{3} }[/tex] in radical forms is ∛2
What are radicals?Radical are expression that uses a root, such as square root, cube root . They are numbers represented in radical symbols.
Therefore,
[tex]2^{\frac{1}{3} }[/tex] in radical form can be represented as follows:
Using indices rule
[tex]a^{\frac{1}{b} } = \sqrt[b]{a}[/tex]
Therefore,
[tex]2^{\frac{1}{3} } = \sqrt[3]{2}[/tex]
learn more on radical here: https://brainly.com/question/3494698
#SPJ2
If kaitlyn goes to the store, the probability that she buys blueberries is 90%. the probability of her going to the store is 30%. what is the probability of her going to the store and buying blueberries?
Answers
P(going to the shop)*P(Buying blue berries)
let P(going to the shop)=P(A)=0.3
P(Buying blue berries)=P(B)=0.9
P(A and B)=P(A)∩P(B)
=0.3×0.9
=0.27
Answer: 0.27
Final answer:
The answer explains the calculation of the probability of an event occurring using provided probabilities and the intersection formula.
Explanation:
The probability of Kaitlyn going to the store and buying blueberries can be calculated using the formula for the intersection of two events.
We know that P(going to the store) = 0.3, P(buying blueberries) = 0.9, and we are looking for P(going to the store and buying blueberries).
Therefore, the probability of Kaitlyn going to the store and buying blueberries is 0.3 × 0.9 = 0.27 or 27%.
Write an equation for a line
g(x)
perpendicular to
f(x) = 5x − 8
and passing through the point
(5, 10)
Answers
[tex]l: y = nx + c[/tex]
[tex]l\ \perp\ k\ \iff\ m\cdot n = -1[/tex]
We have:
[tex]k:\ f(x)=5x-8\\\\l:\ g(x)=mx+b\\\\l\ \perp\ k\iff 5m=-1\ \ \ |:5\to m=-\dfrac{1}{5}[/tex]
therefore
[tex]l:\ y=-\dfrac{1}{5}x+b[/tex]
The line passing through the point (5; 10).
Substitute the values of the coordinates of the point
[tex](5;\ 10)\to x=5;\ y=10\\\\10=-\dfrac{1}{5}\cdot5+b\\\\10=-1+b\ \ \ \ |+1\\\\b=11[/tex]
[tex]Answer:\ \boxed{y=-\dfrac{1}{5}x+11}[/tex]
If 25 people play the game how many people do you expect to hit HHH?
Answers
25 x.105= 2.625
most likely either 2 or 3
Answer:
Almost 3 persons are expected to hit HHH.Step-by-step explanation:
To find the answer we must use the diagram, we see that among 8 possible results, there's one possible outcome to hit HHH.
So, to find the amount of people that are expected to hit HHH, we just have to multiply each percentage assigned to the HHH outcome:
[tex](0.7)(0.5)(0.3)=0.105[/tex]
Now, we see that a 10.5% of the people will be expected to hit HHH.
The approximate number of people would be:
[tex]25(0.105) \approx 3[/tex]
Therefore, almost 3 persons are expected to hit HHH.
You want to draft a four player tennis team. There are eight players to choose from. How many different teams can you form?
Answers
We want to make a 4 players team, and there are total 8 players. As we know the order of selection does not matter in a team of players, only the combination of players matters.
So we would use concept of Combinations and It will be choose 4 out of 8 players.
The formula for Combination is given as follows :-
[tex]nCr = \frac{n!}{r!*(n-r)!} \\\\ Choose \;4 \;out \;of \;8 \;players \\\\ 8C4 = \frac{8!}{4!*(8-4)!} = \frac{8!}{4!*4!} \\\\ 8C4 = \frac{8*7*6*5*4*3*2*1}{(4*3*2*1)*(4*3*2*1)} = \frac{8*7*6*5}{4*3*2*1} =\frac{1,680}{24} = 70 \;combinations[/tex]
Hence, Total number of different teams = 70 combinations.
A wedsite charges a fixed amount for each song download.If you can download six songs for $4.68,then how much would it cost to download ten song?
Answers
By determining the cost per song, which is $0.78, we can calculate that downloading ten songs from the website would cost $7.80.
Explanation:To determine the cost to download ten songs, we first need to calculate the cost per song. We are given that six song downloads cost $4.68. By dividing this total cost by the number of songs, we find the cost per song:
Cost per song = Total cost for six songs / Number of songs
= $4.68 / 6
= $0.78 per song
Now, to find the cost of ten songs, we multiply the cost per song by ten:
Total cost for ten songs = Cost per song * Number of songs
= $0.78 * 10
= $7.80
Therefore, it would cost $7.80 to download ten songs from the website.
How to find amplitude and period from equation?
Answers
[tex]y = a \sin(bx) + c[/tex]
a is the Amplitude
and period is:
[tex] \frac{360}{b} [/tex]
If your graph is a TAN graph :
[tex]y = a \tan(bx) + c[/tex]
A TAN graph has no amplitude as it has no Maximum or Minimum value.
To find period :
[tex] \frac{180}{b} [/tex]
Final answer:
The amplitude of a wave is the coefficient A in the equation y(x, t) = A sin(kx - ωt + φ), and the period T can be calculated using T = 2π/ω, where ω is the angular frequency. Additional properties like wavelength and speed can be found using related equations involving the wave number and frequency.
Explanation:
To find the amplitude and period from the equation of a wave, look at the standard form of a sinusoidal wave function, which is generally y(x, t) = A sin(kx - ωt + φ). Here, the amplitude can be directly read from the equation as the coefficient A, which represents the maximum displacement from the rest position. As for the period, it can be derived from the angular frequency using the formula T = 2π/ω, where T is the period and ω is the angular frequency.
The wavelength (λ) and speed (v) of the wave can also be determined from the properties of the wave. The wavelength is related to the wave number by the equation λ = 2π/k, and the speed can be calculated if the frequency (f) is known, using the equation v = λf.
For example, if the amplitude is provided as 30 V/m and the frequency is given as 2.0 MHz, the period (T) would then be 5.0 × 10-7 s based on the relationship between frequency and period, T = 1/f.
i need help with number 2 please p
Answers
b= 4.5
XY=8
YZ=8
XZ=16
Paul took out a 2-year loan for $1450 at a computer retailer to be paid back with monthly payments at an 18% APR, compounded monthly. If the loan offers no payments for the first 4 months, about how much in total will Paul pay in interest for the loan?
Answers
A class of 24 students was asked to identify a team spot in which they have participated. Their responses are shown in the line plot.
a. How many total responses are recorded in the line plot for the five sports?
b. What is the total number of students polled?
c. Give a possible explanation as to why the answers of part (a) and (b) are different.
Answers
The total number of responses recorded for the five sports according to the line plot is 28
b.What is the total number of students polled?
Given that a class of 24 students was asked to identify the team spot in which they have participated, then the number of students who polled was 24.
c] The reason why the answers to part a and part b are different could be because some students participated in more than 1 sport.
Which set of numbers includes only whole numbers?
Answers
A whole number is a number that is not a fraction or decimal. These numbers are positive only. The correct answer is C.
Hope I helped! :3
Whole numbers are 0,1,2,3....
The correct answer is
C) 2,5,6,15
What is the surface area of a cone with diameter 28 cm and height 22 cm in terms of pi?
a. 196 pi cm^2
b.365 pi cm^2
c.561.1 pi cm^2
d.2202.8 pi cm^2
Answers
Just use ur calculator.
The surface area of a cone with diameter 28 cm and height 22 cm in terms of pi is:
c. 561.1 pi cm²
Step-by-step explanation:The diameter of cone= 28 cm
Radius of cone is half the diameter this means that:
Radius(r) of cone= 14 cm
Also, height(h) of cone= 22 cm
We know that the surface area of cone is given by:
[tex]Surface\ Area=\pi r(r+\sqrt{h^2+r^2})[/tex]
Now as we know the value of h and r hence we will substitute these values in the formula to get:
[tex]Surface\ Area=\pi \times 14(14+\sqrt{(14)^2+(22)^2})\\\\\\Surface\ Area=14\pi (14+26.07681)\\\\\\surface\ Area=14\pi\times 40.07681\\\\\\Surface\ Area=561.07534\pi cm^2[/tex]
Hence, the surface area of cone is: 561.1π cm²
Find the value of x and y
Answers
Answer:
B. [tex]x=62[/tex]; [tex]y=30[/tex]
Step-by-step explanation:
We have been given two similar triangles. We are asked to find the value of x and y for the given triangles.
[tex]\Delta SWK\sim \Delta EBT[/tex]
We know that the measure of corresponding angles of two similar triangles are equal.
[tex]m\angle S=m\angle E[/tex]
[tex]m\angle W=m\angle B[/tex]
[tex]m\angle K=m\angle T[/tex]
[tex]110=2x-14[/tex]
[tex]2x-14=110[/tex]
[tex]2x-14+14=110+14[/tex]
[tex]2x=124[/tex]
[tex]\frac{2x}{2}=\frac{124}{2}[/tex]
[tex]x=62[/tex]
[tex]m\angle S=m\angle E[/tex]
[tex]40=m\angle E[/tex]
Using angle sum property, we will get:
[tex]m\angle E+m\angle B+m\angle T=180[/tex]
[tex]40+y+110=180[/tex]
[tex]y+150=180[/tex]
[tex]y+150-150=180-150[/tex]
[tex]y=30[/tex]
Therefore, option B is the correct choice.
Assume that the original claim is true, and follow the directions given. what is the truth value of the claim you wind up with? all people who win lotteries are people who get lots of mail. (find the contrapositive, then convert.)
Answers
We first find the contrapositive by switching the hypothesis and conclusion and then negating both:
"All people who do not get lots of mail are people who do not win lotteries."
The contrapositive of a true statement is true.
From here we find the converse by switching the hypothesis and conclusion of the newest statement:
"All people who do not win lotteries are people who do not get lots of mail."
This is essentially a negation of the original statement; a negation of a true statement is false.
Sathish is going on a 200020002000-kilometer road trip with two friends. The car consumes 666 liters of gas for every 100100100 kilometers, and gas costs \$1.20$1.20dollar sign, 1, point, 20 per liter.If Sathish and his two friends want to split the cost evenly, how much should they each pay?\$
Answers
L = (2000) * (6/100)
L = 120
The total cost of gas for the trip is given by:
C = (1.20) * (120)
C = 144 $
Therefore, the amount that each one must pay is:
(144) / (3) = 48 $
Answer:
they should each pay about:
$ 48
You and a friend go to a mexican restaurant. you order 2 tacos and 3 enchiladas and your friend orders 3 tacos and 5 enchiladas. one bill was $7.80 plus tax and the other bill was $12.70 plus tax. how much was each taco and each enchilada?
Answers
We have then:
x: cost of tacos
y: cost of enchiladas.
We write the system of equations:
2x + 3y = 7.80
3x + 5y = 12.70
Solving the system we have:
x = 0.9 $
y = 2 $
Answer:
each taco and each enchilada was:
x = 0.9 $
y = 2 $
To find the cost of each taco and enchilada, set up a system of equations based on the given bills and solve for the variables T (taco) and E (enchilada). The solution reveals that each taco costs $0.90 and each enchilada costs $2.00.
To solve the problem of determining the individual cost of a taco and an enchilada based on the two given bills, we can set up a system of linear equations. Let's denote the price of a taco as 'T' and the price of an enchilada as 'E'.
The first equation represents your order: 2T + 3E = $7.80.
The second equation represents your friend's order: 3T + 5E = $12.70.
To solve the system, you can use either the substitution or elimination method. For this example, we'll use the elimination method:
Multiply the first equation by 3 and the second by 2, which gives us:6T + 9E = $23.40
6T + 10E = $25.40Subtract the first new equation from the second new equation to eliminate 'T' and find the value of 'E'. This gives us E = $2.00.Now, plug the value of 'E' into the first original equation:
2T + 3(2.00) = $7.80
2T + $6.00 = $7.80
2T = $1.80
T = $0.90
So, each taco cost $0.90 and each enchilada cost $2.00.
Ariel has a standard deck of 52 cards. She draws one card from the deck and then replaces it. She then draws a second card from the deck. What is the probability that both cards are clubs? B) Alisa has a bag of 10 red and 6 green marbles. She takes one marble out of the bag and does not replace it. She then takes a second marble out of the bag. What is the probability that both marbles are green? C) In a bag of apples there are 4 green apples and 2 red apples. Bethany takes a green apple out of the bag and does not replace it. She then takes another apple out of the bag. What is the probability that the second apple is red? D) In Mrs. Brown's Geometry class there are 15 boys and 10 girls. The students are presenting projects to th
Answers
B) Like part a, the initial probability of finding a green marble is 6/16, or 0.375 (37.5%). When not replacing the marble, the second probability is now 5/15, or 0.33 (33.3%), due to the loss of this marble. This means that the cumulative probability is 0.375 x 0.333, or 0.1249 (12.49%).
C) The initial probability of finding a green apple is 4/6, or 0.66 (66.6%). The second probability, when not replacing the apple is now 2/5, or 0.4 (40%) - the loss of the apple affected the total number of apples, but didn’t affect the number of red apples. This means that the cumulative probability is 0.666 x 0.4, or 0.266 (26.6%).
D) Unfortunate, I don’t know what the problem is asking, so I can’t answer this for you.
Answer:
A)
Step-by-step explanation:
determine the amount of an investment if $400 is invested at an annual interest rate of 7.25% for 7 years. round to the nearest penny.
Answers
0.0725(400)
But we have 7 years:
7(0.0725(400))
Multiply in the parentheses
7(29) = 203
400 + 203 = 603
You now have $603, and made $203
Acapulco, Mexico and Hyderabad, India both lie at 17° north latitude, and lie very nearly halfway around the world from each other in an east-west direction. The radius of Earth at a latitude of 17° is about 3790 miles. Suppose that you could fly from Acapulco directly west to Hyderabad or fly directly north to Hyderabad. Which way would be shorter, and by how much? Use 3960 miles for Earth’s radius. (Hint: To fly directly north, you would go from 17° north latitude to 90° north latitude, and then back down to 17° north latitude.)
Answers
[tex]L=2 \pi R \frac{C}{360} [/tex]
Where:
L= arc length (in this problem it is disance we need to travel)
R = radius of circle (in this problem it is equal to a radius of Earth)
C = angle we need to pass
We are told that two cities lie halfway around the world. If we fly to west this means angle is 180°.
This gives an arc length of:
[tex]L=2* \pi *3960* \frac{180}{360} \\ \\ L=12440.71 miles[/tex]
If we want to fly to north we need to go to 90° northern latidtude and then back to 17° latitude. This means angle is:
C=2*(90-17)=2*73°=146°
This gives an arc length of:
[tex]L=2* \pi *3960* \frac{146}{360} \\ \\ L=10090.8 miles[/tex]
We can see that flying north is shorter. It is shorter by:
12440.71 miles - 10090.8 miles = 2349.91 miles
WILL GIVE BRAINLIEST
Use a calculator to find the mean and standard deviation of the data. Round to the nearest tenth.
946, 726, 956, 519, 104, 415, 428, 457, 614, 201, 772, 801
A. mean = 566.5; standard deviation = 261.9
B. mean = 578.3; standard deviation = 261.9
C. mean = 578.3; standard deviation = 68572.4
D. mean = 566.5; standard deviation = 68572.4
Answers
Answer:
mean is 578.3 deviation 261.9
Step-by-step explanation:
What is the value, after 7 years, of a 2014 mustang that was originally 25,000.00, if it depreciates at a rate of 8% per year??
Answers
The estimated answer would be =14000
Given: rectangle ABCD is similar to rectangle ZBXY.
If BA=8, BC=12 and the perimeter of rectangle BXYZ is 20, find BX.
a.) 3
b.) 4
c.) 5
d.) 6
Answers
Answer:
The answer is D. 6
Step-by-step explanation:
Find the slope of the line that passes through the pair of points. (4, 8), (8, 11)
Answers
We're given the points : (4, 8) & (8, 11)
Plug these into the slope equation, which is : m = (y₂-y₁) / (x₂-x₁)
m = (11 - 8) / (8 - 4)
Simplify.
m = 3/4
So, our slope is 3/4!
~Hope I helped!~
Find the product of (5.2 · 10-6) and (8 · 103).
Answers
Final answer:
To find the product of (5.2 · [tex]10^-^6[/tex]) and (8 · 10³), multiply the base numbers and add the exponents. The result is 41.6 × [tex]10^-^3[/tex], which simplifies to 4.16 × 10^-2.
Explanation:
The student asked to find the product of two numbers expressed in scientific notation: (5.2 · [tex]10^-^6[/tex]) and (8 · 10³). When multiplying numbers in scientific notation, you multiply the base numbers and add the exponents.
Step-by-Step Solution:
Multiply the base numbers: 5.2 × 8, which equals 41.6.Add the exponents of 10: (-6) + 3, which equals -3.Combine the results to express the product in scientific notation: 41.6 × [tex]10^-^3[/tex].Simplified Result:
This can further be simplified by writing 41.6 × [tex]10^-^3[/tex]as 4.16 × [tex]10^-^2[/tex], by moving one decimal place to the left in the base number and increasing the exponent by 1 to balance it.
A.70
B.40
C.140
D.20
Answers
For groups of students are doing a probability experiment with a standard number cube to see how many times they roll of four. The theoretical probability of rolling in for is one out of six or approximately 0.17 and one group came close to this possibility with an experimental probability of 0.175. This most likely came from which group
Answers
it took Otis 6 hours to travel to the Grand Canyon. along the way he took 18 minutes to get gasoline and 53 minutes to eat. how much time did Otis spend driving?
Answers
On a history test, Rasha scored 40 points on the essay portion. In addition to the essay, there were multiple-choice questions worth three points each. Which expression represents Rasha’s total points if she answered p multiple-choice questions correctly?
A. 3 + 40p
B. 3 + p + 40
C. 40-3p
D. 40 + 3p
Answers
You have to times the number p of question answered correctly for 3 (points for each one) and add this numbers at the 40 points that you already had.
The expression that represents the situation is 40 + 3p.
The correct option is D.
What is a linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
The essay is worth 40 points and each correctly answered multiple-choice question is worth 3 points.
If Rasha answered p multiple-choice questions correctly, she would earn a total of 40 + 3p points.
Therefore, the correct expression is D.
40 + 3p.
To learn more about the linear equation;
https://brainly.com/question/29739212
#SPJ3
The circle is inscribed in the triangle. Find the perimeter of the triangle.
A. 20 cm
B. 24 cm
C. 35 cm
D. 48 cm
Answers
The perimeter of the triangle will be 48 cm. The correct option is D.
What is a perimeter?A perimeter is the total length of the boundary or outer edge of a two-dimensional shape. It is the sum of the lengths of all the sides of the shape.
For example, the perimeter of a rectangle is the sum of the lengths of all four sides, while the perimeter of a circle is the distance around its circumference. The perimeter is usually measured in units such as meters, centimeters, inches, or feet, depending on the context of the problem.
Whenever we have two tangents outside the circle and they are in contact with each other, it means their lengths are the same
The perimeter of the triangle will be calculated as,
Perimeter = sum of all the sides
Perimeter = ( 11 + 11 + 7 + 7 + 6 + 6 )
Perimeter = 48 cm
To know more about perimeter follow
https://brainly.com/question/25092270
#SPJ7