Answers
Tan (D) = 24/7 (Answer)
sin D = 24/25
tan D = 24/7
sin E = 7/25
Explanation:
Since the given triangle is a right-angled triangle, the special trigonometric identities can be applied.
These identities are as follows:
sin Θ = opposite / hypotenuse
cos Θ = adjacent / hypotenuse
tan Θ = opposite / adjacent
In the given right-angled triangle, using Pythagorean theorem:
hypotenuse = sqrt(7^2 + 24^2) = 25
For angle D:
sin D = opposite / hypotenuse = 24/25
cos D = adjacent / hypotenuse = 7/25
tan D = opposite / adjacent = 24/7
For angle E:
sin E = opposite / hypotenuse = 7/25
cos E = adjacent / hypotenuse = 24/25
tan E = opposite / adjacent = 7/24
Hope this helps :)
Related Questions
Reduce the following fraction -32abc/64a^2bc^3
Answers
-1/(2ac^2)
What is the volume of this triangular pyramid?
Answers
.. = 12 m^3
At middle ave school 1/3 of the students are on the track team.the track coach offered to buy a pizza or subs for everyone on the team.of the students for whom the coach bought good 3/5 ordered pizza.what fraction of the students at middle ave school atenpizza
Answers
Final answer:
To determine how many students at Middle Ave School ate pizza, multiply the fraction on the track team (1/3) by those who ordered pizza (3/5), which equals 3/15 or simplified to 1/5 of the students.
Explanation:
To find out what fraction of the students at Middle Ave School ate pizza, you need to multiply the fractions that represent the students on the track team and those who ordered pizza. Initially, we know that 1/3 of the students are on the track team. Of these students, 3/5 ordered pizza. Multiplying these two fractions gives us the fraction of the entire student body that ordered pizza.
To multiply fractions, you multiply the numerators together and then the denominators together. So, for this problem, you'd multiply 1 by 3 to get the numerator, and then 3 by 5 to get the denominator:
1/3 * 3/5 = 3/15
But 3/15 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3:
3/15 = 1/5
Therefore, 1/5 of the students at Middle Ave School ate pizza.
Find the general solution of the differential equation x^2y′′+xy′−y=2x for x>0 by first showing that the function yp=−12x+x ln(x)is a particular solution for the differential equation.
Answers
Giving brainiest with legit answer is my answers correct?
Answers
The following stem-and-leaf plot represents the scores earned by Mr. Roberts's class on their most recent science test.
What is the median of the scores?
78
80
81
86
Answers
_____
For the picture, ...
There are 7 scores above the row with stem=8, and 7 scores below that row. Thus the middle score will be the middle score of the row with stem 8.
The median of the scores in the figure is 81.
Answer:
81
Step-by-step explanation:
You run around the perimeter of a baseball field at a rate of at least 11 feet per second. Which of the following are possible amounts of time that it takes you to run around the baseball field?
Answers
perimeter of the baseball field=2(radius)+lenght of a semicircle.
2(radius)=2(175 ft)=350 ftlenght of a semicircle=40% of a circumference=(40/100)(2πr)
Perimeter of the baseball field=2(175 ft) + (40/100)(2π175 ft)==350 ft + 140π ft=350 ft + 439.82 ft=789.82 ft,
2)Now, we calculate the amounts of time that it takes you to ruan arount the baseball field.
10 ft------------------------1 second789,82 ft----------------- x
x=(789.82 ft * 1 second) / 10 ft=78.98 s≈79 s
Answer: 79 seconds.
PLEASE MARK ME AS THE BRAINLEIST
The correct answer for your question is 79 seconds.
Please the question is on the picture
Halves of the following
12
10
13
15
8
5
Answers
Half of 12 is ____
is a different question than
12 is ____ halves
When you say, "Halves of 12, 10, ..." it looks like you're asking the first version.
One of something is 2 halves. That is, the number of halves is exactly two times the number of "somethings." Hopefully, you can multiply each of these numbers by 2.
12*2 = 24
10*2 = 10
13*2 = 26
15*2 = 30
8*2 = 16
5*2 = 10
IMPORTANT
[how do you]Find sin theta if tan theta = 3/4
Answers
bear in mind that, though the square has two valid roots, one negative and one positive, the hypotenuse is just a radius distance, and therefore is never negative.
NEED HELP NOW!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
For a game, Tony has a rectangle drawn on a piece of paper that has an area of 18 in.2. What should he do to the dimensions in order to have a similar rectangle that's area is only 2 in.2?
Divide them by nine.
Divide them by six.
Divide them by three.
multiply them by three.
Answers
Answer:
Area of Original rectangle = 18 in²→→Pre image
Area of Rectangle after Dilation =2 in²→→Image
As, Pre image and image will be similar to each other.
And size of rectangle that is image is [tex]\frac{2}{18}=\frac{1}{9}[/tex] of the Original rectangle called Pre image.
So, option A, Divide the area of original rectangle by 9, that is dilation factor of [tex]\frac{1}{9}[/tex] has taken place.
Divide them by nine.
Give a big-o estimate for the number of operations (where an operation is an addition or a multiplication) used in this segment of an algorithm. t := 0 for i := 1to3 for j := 1to4 t := t + ij
Answers
So there are 3*4=12 executions of t:=t+ij.
Assuming two operatiions per execution of the innermost loop, (i.e. ignoring the implied additions in increment of subscripts), we have 12*2=24 operations in all.
Here the number of operations (+ or *) is exactly known (=24).
Big-O estimates are used for cases with a varying scale of operations, governed by a variable (usually n) to indicate the sensitivity of the number of operations relative to a change in the size of n.
Here we do not have a scale, nor n is defined. The number of operations is constant and known at 24. So a variable is required to find the big-O estimate.
Find the points on the curve y = 2x3 + 3x2 − 12x + 1 where the tangent line is horizontal. (x, y) = (smaller x-value) (x, y) = (larger x-value)
Answers
First, differentiate y.
[tex]y'=6x^2+6x-12[/tex]
Next, find the zeros of y' by factoring.
[tex]6(x^2+x-2)=0 \\ x = -2, x = 1[/tex]
Now, we substitute these x-values into the original equation to find the coordinates.
[tex](-2,21), (1,-6)[/tex]
Select two fractions that can be written with a denominator of 24.
What answer is it.
1/6 1/5 5/7 9/10 1/9 7/8
Answers
The data in the table illustrate a linear function x -3, 0, 3, 6 y -6, -2, 2, 6 what is the slope of the linear function?
Answers
Answer:
[tex]slope=\dfrac{4}{3}[/tex]
Step-by-step explanation:
Given: The table of linear function.
x : -3 , 0 , 3, 6
y : -6 , -2 , 2, 6
Slope=change in y over change in x
[tex]slope=\dfrac{-2+6}{0+3}=\dfrac{4}{3}[/tex]
Passing point: (0,-2)
Point slope form:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y+2=\dfrac{4}{3}(x-0)[/tex]
[tex]y=\dfrac{4}{3}x-2[/tex]
Slope of the linear function [tex]=\dfrac{4}{3}[/tex]
Linear function is [tex]y=\dfrac{4}{3}x-2[/tex]
Hence, The slope of linear function is [tex]\dfrac{4}{3}[/tex]
Anthony wants to buy the same number of hats for 6 of his friends. He has $108 dollars, and each hat cost $8. what is the largest number of hats that Anthony buys for each of his friends?
Answers
13.5 Divided by 6= 2.25
So 2 Hats Each.
Please help ASAP plz it due tomorrow
Answers
1. Rule for the sum of interior angles is: S=180°(n-2), where n - numbers of sides of n-gon.
2. using the formula shown above:
7 - 180*11=1980
8 - 180*16=2880
9 - 180*30=5400°
10 - 180*33=5940
11 - 180*5=900
12 - 180*24=4320
13 - 180*8=1440°
14 - 180*21=3780
subtract 1/4 from 7/8
Answers
I hope this helps have a nice day!
7/8 - 1/4
rewrite 1/4 with the same denominator as 7/8
1/4 = 2/8
now you have 7/8 - 2/8 = 5/8
answer is 5/8
The sales tax on a $45 DVD player is $3.38. What is the sales tax rate to the nearest tenth of a percent?
Answers
What is the period of the function y = 3 csc x?
Answers
The period of the function is 2π.
What is period of the function?The time interval between two waves is known as a Period whereas a function that repeats its values at regular intervals or periods is known as a Periodic Function.
Given:
y = 3 csc x
As, csc(x) carry the reciprocal identity of sin(x).
So, they both have the same period
The period of sin(x) is 2π.
Hence, the period of csc(x) is 2π.
Learn more about period of function here:
https://brainly.com/question/14325171
#SPJ2
A recycling box holds 151,875 cm3 of material and has a square base with sides measuring 45 cm. What is the height of the recycling box? a. 33.8 cm b. 75 cm c. 1687.5 cm d. 3375 cm
Answers
Then the height of the box is 151 875 / 2025 = 75 cm
Ms.jones has a decorative pyramid that sits on her fireplace mantle .the base is an equilateral triangle with an area of 6 square inches. The height of the pyramid is 15 inches. What is the volume?
Answers
.. V = (1/3)Bh
Fill in the given values and do the arithmetic.
.. V = (1/3)(6 in^2)*(15 in)
.. V = 30 in^3
The volume is 30 cubic inches.
Final answer:
To find the volume of Ms. Jones's pyramid with an equilateral triangle base area of 6 square inches and a height of 15 inches, we use the volume formula for a pyramid, V = [tex]\frac{1}{3}[/tex] × base area × height, resulting in a volume of 30 cubic inches.
Explanation:
To calculate the volume of the pyramid, we use the formula for the volume of a pyramid which is V = [tex]\frac{1}{3}[/tex] × base area × height. The base of Ms. Jones's decorative pyramid is an equilateral triangle with an area of 6 square inches, and the pyramid's height is 15 inches. First, we need to find the volume using the given base area and height.
Substituting the values into the formula, we get:
V = [tex]\frac{1}{3}[/tex] × 6 in² × 15 in
V = 2 in² × 15 in
V = 30 in³
Therefore, the volume of Ms. Jones's pyramid is 30 cubic inches.
Tony is building a dog house, and the front view of the roof is shown below
Answers
Answer:
The height is 21 inches.
Step-by-step explanation:
We can find the height by using Pythagoras theorem.
As we know it is an isosceles triangle. So, the base can be divided equally in 2 parts for both triangles.
So, we can take the hypotenuse as 29 inches and base as 20 inches.
Now applying Pythagoras theorem, we get;
[tex]29^{2} =20^{2} +x^{2}[/tex]
[tex]841=400+x^{2}[/tex]
=>[tex]841-400=x^{2}[/tex]
=>[tex]x^{2} =441[/tex]
[tex]x=\sqrt{441}[/tex]
x=[tex]\sqrt{3*7*3*7}[/tex]
=> [tex]x=21[/tex]
Hence, the height is 21 inches.
Certain kinds of goods tend to have inelastic demand; a good usually has inelastic demand if what?
Answers
because the price fluctuations do not affect the quantity sold.
a good example of that would be milk, if the milk gallon is say $8, and a family needs 1 gallon daily, they buy it for $8.
if the price drops to $7, they might buy 2, but they only need 1 everyday, just in case they may get another.
if the price drops to $4 or even $3, they're not going to get 10 gallons, there's no need for it on an everyday basis, besides is a perishable.
now if the price goes up to $12, they still need it, and will buy it for $12.
If mc019-1.jpg and n(x) = x – 3, which function has the same domain as mc019-2.jpg?
Answers
This means
(x-3) + 5 x+2
m(n(x)) = ------------- = --------
(x-3) -1 x-4
The domain of this function is all real numbers - {4}
The function with the same domain is h(x) = 11/x-4
Answer:
It's C to save you time.
Step-by-step explanation:
The equation of straight lines L1 And L2 are .....
see the photo
Answers
First, we know that a possible equation of L2 is y=1, then c=-1 => -y=-1 or y=1.
Of course, c could be just any negative number so that L2 lies above the x-axis.
=> c<0 ..........................................(III) is true
Next, we note that L1 has a negative intercept, that meant that when x=0, y<0. Go back to the original equation
ax+by=-1 => when x=0, by=-1, so b>0 in order for y to be negative. So
b>0.
We already know that c<0, so
b>c .....................................................................(II) is true
Further, we note that L2 has a negative slope. From the definition of slope, m, where m=-a/b
=>
m=-a/b<0 => a/b>0.
We already know that b>0, so for a/b>0, a>0. Therefore
a>0 ...................................................................(I) is true
So we have established the truth values of (I), (II) and (III).
It will be up to you to select the answer choices.
Do check and understand all the arguments. If in doubt, please post your queries.
Choose the graph of y = four thirdscosthree halvesx
Answers
y = (4/3)* cos (3/2)x----------> y = (4/3)* cos (1.5x)
using a graph tool
the answer
see the attached figure
For Anya's birthday her father gave out colorful birthday hats that were cone shaped. The opening of the bottom of the hat was 3 cm and the height of the cone was 7 cm. Anya fills her hat with candy. What is the exact volume of candy?
J. 65.97 cubic centimeters
K. 20.36 cubic centimeters
L. 16.49 cubic centimeters
M. 56.48 cubic centimeters
Answers
V = (1/3) pi * r^2 h
pi = 3.14
d = 3 cm. (very small)
r = d/2 = 3/2 = 1.5 cm
h = 7 cm
V= (1/3) 3.14 * 1.5^2 * 7
V = 1.04 * 1.5^2 * 7
V = 16.485 cm^3
L <<<<==== answer.
Answer:
Step-by-step explanation:
For the florist problem you would do 6 assistance
A card is drawn at random from a well-shuffled deck of 52 cards. what is the probability of drawing a face card or a 6?
Answers
n(S) = 52
P(E)=n(E)/n(S)
=16/52
=4/13
A pack of six cans of coffee cost 12$ . How much would 15 cans of coffee cost
Answers
The cost for 15 cans of coffee is found by first determining the cost per single can, which is $2, and then multiplying this cost by the number of cans, resulting in a total of $30 for 15 cans.
To calculate the cost of 15 cans of coffee when a pack of six cans costs $12, we first need to find the cost of a single can. To do this, we divide the cost of the pack by the number of cans in the pack:
Cost per can = Total cost of the pack / Number of cans in the pack
Cost per can = $12 / 6 = $2
Now that we know the cost of one can, we can calculate the cost for 15 cans:
Total cost for 15 cans = Cost per can * Number of cans
Total cost for 15 cans = $2 * 15 = $30
Write the following statement as an equation and solve. Jake Drewrey, owner of Jake's Landscape Service, knows that one of his fertilizer tanks holds four times as many gallons of liquid fertilizer as a second tank. The two tanks together hold 286 gal. If both tanks are filled to capacity, how many gallons of fertilizer does each tank hold?
Answers
Final answer:
The equation is : x + 4x = 286, where x represents the smaller tank's capacity.
Explanation:
To write the statement as an equation and solve it, let's denote the smaller tank's capacity as x gallons. Therefore, the larger tank would be 4x gallons because it holds four times as much. The problem states that together they hold 286 gallons, which gives us the equation:
x + 4x = 286
Combining like terms, we get 5x = 286. Dividing both sides of the equation by 5 to solve for x, we find:
x = 286 / 5
x = 57.2
Therefore, the smaller tank holds 57.2 gallons, and the larger tank holds 4 times that amount, which is 57.2 * 4 = 228.8 gallons.