Trigonometry
In the diagram, tan(C)=2.4. Find cos(A).
ONLY ANSWER IF YOU HAVE A VALID EXPLANATION!
Answers
Answer:
[tex]\cos(A)=\frac{12}{13}[/tex]
Step-by-step explanation:
Without loss of generality, let [tex]AB=24[/tex] and [tex]BC=10[/tex] (follows tan(C)=2.4). In a right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side and the cosine of an angle is equal to its adjacent side divided by the hypotenuse.
We can use the Pythagorean Theorem ([tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse) to solve for the hypotenuse:
[tex]24^2+10^2=h^2,\\h^2=676,\\h=26[/tex]
Therefore, [tex]\cos(A)=\frac{24}{26}=\boxed{\frac{12}{13}}[/tex]
Hope this helps
Related Questions
Find the area of the given triangle.
A triangle has a height of 15 feet and a base of 10 feet. Another side is 25 feet.
The base (b) of the triangle is
feet.
The height (h) of the triangle is
feet.
The area of the triangle is
square feet.
Answers
Answer:
75 squared feet
Answer:
75
Step-by-step explanation:
area(1/2×b×h)
1/2×10×15
1×5×15
=75
Which is greater: 10 centimeters or 103 millimeters? How much greater?
Worth branliest if you get it right!
Answers
Answer:
103 millimeters
Step-by-step explanation:
10 cm = 100 mm
103 > 100
3mm greater
Answer is D
..............
Joe and Marty work for two different landscaping companies. Joe earns a base amount of $15 and $8 per lawn. Marty earns a base amount of $45 and $6 per lawn. Last week, they earned the same amount of money. How many lawns did they each mow?
Answers
Answer:
I belive Joe mowed 51 lawns and Marty mowed 23.
Step-by-step explanation:
Joe and Marty each mowed a total number of 15 lawns last week and they earned the same amount of money.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
Joe earns a base amount of $15 and $8 per lawn.
Marty earns a base amount of $45 and $6 per lawn.
Let's suppose they both mow x number of lawns.
Then Joe's total income is given by:
$(15+8x)
And Marty's total income is given by:
$(45+6x)
As they earned the same amount of money, mathematically:
(15+8x) = (45+6x)
15 + 8x - 6x = 45 +6x - 6x (subtract by 6x on both sides)
15 + 2x -15 = 45 -15 (subtract by 15 on both sides)
2x = 30
x = 15 (divide by 2 on both sides)
If we put x = 15 in Joe's total income expression, we get:
15+8×15 ⇒135
If we put x = 15 in Marty's total income expression, we get:
45+6×15 ⇒135
Thus, Joe and Marty each mowed a total number of 15 lawns last week and they earned the same amount of money.
Learn more about the linear equation here:
brainly.com/question/11897796
show all your work for 3 4 and 5, please
Answers
Answer:
I can't see the picture so I can't sovle it
Step-by-step explanation:
explanation:
-3/5 and -2/3 need the same denominator so multiply them so that they equal the same. so multiply -3/5 by 3 and then -2/3 by 5. so that equals: -9/15 -(-10/15). The minis a negative cancels out and it becomes plus. so -9 plus 10 is 1 and 15 stays the same. so 1/15.
4. -5.2
explanation:
a negative (-2.5) subtracted by a technically smaller negative (-5.2) will equal a positive number
5.B
i just used a calculator tbh
plz explain why!
Will be marked BRAINLIEST
Answers
ANSWER
Eva is correct because 13/2 + 3/2 = 8
There is no mistake. Dakota may have thought that there was a mistake because Eva simplified when she got the answer for 4x which is correct but Dakota may have thought that it was incorrect.
Which one is greater 0.63 or 0.5?
Answers
Answer:
0.63
Step-by-step explanation:
0.63 is bigger
Answer:
0.63
Step-by-step explanation:
0.63 is bigger then 0.50
Of the 35 students in my class, 11 practice karate, 11 play piano, and 20 take math lessons. $ students play piano and go to math classes, 3 students do karate and piano, 5 go to math class and karate, and 3 do non. How many students do all 3
Answers
Answer:
Step-by-steKAohsgidvup explanation:
Please help me on this. I am trying so hard not to fail.
Answers
If 9 3
2 (3
−
2 )– 27
3
3 2
3 =
1
27
then prove that m – n = 1
Answers
PLEASEEEEEEEE HELP ME I WILL GIVE BRAINLIESTTTTTTTTTTTTTTTTT
Answers
Answer:
Step-by-step explanation:
here you go
What is the value of p?
Answers
Step-by-step explanation:
70-26= 44°
Might be wrong but hope it helped!
Answer:
Hello! answer: p = 44
Step-by-step explanation:
These are vertical angles!
Meaning that each will equal the same
Since we are given its vertical angle we know that it will have to add up to 70 on the other side as well so...
70 - 26 = 44 therefore p = 44 hope that helps!
What is the spread of 35, 42, 65, 59, 84, 62, 46, 52, 24?
Also what is the spread of 9, 11, 11, 12, 14, 13, 15, 15, 16, 17, 18, 18, 20, 22
Answers
Answer: WDYM SPRED
Step-by-step explanation:
Set 1: 60
Set 2: 13
Explanation:
Spread and range are very similar in the way you find them. So all you have to do is subtract the biggest piece of data by the smallest piece of data
The frequency table below will be used to make a histogram.
What is an appropriate scale and interval for this histogram?
A) The scale should be 0 - 10, and the interval should be 10.
B) The scale should be 0 - 15, and the interval should be 5.
C) The scale should be 1 - 10, and the interval should be 5.
D) The scale should be 1 - 15, and the interval should be 10.
Answers
Answer: D) The scale should be 1 - 15, and the interval should be 10.
Step-by-step explanation:
A garden is in the shape of a semicircle with a radius of 25 feet. Fencing is placed around this garden. How much fencing, in feet, is needed to go around this garden? Give me the most accurate answer and SHOW ALL YOUR WORK.
Answers
Answer:
S.A. = 981.7 ft^2
Step-by-step explanation:
radius = 25 ft
S.A. = 1/2πr2
S.A. = 1/2π(25)^2
S.A. = 981.7
PLS HLEP ME THIS IS DUE SO SOON IM FREAKING OUTㅠㅠㅠㅠㅠㅠㅠㅠANSWER BOTH PLSSSSSS
Answers
can someone please help
Answers
Answer:
Dennard got $3.25 in change
Step-by-step explanation:
$7.60 + $8.75 = $16.75
$20.00 - $16.75 = $3.25
A triangle has vertices at (4,2), (-5,5), and (-5,2). What are the coordinates of the vertices of the image
after the translation (x,y) → (x + 1, y - 4)?
. (-5,5) (
The coordinates are (4,2) ►
and (-5,2) ►
Complete the description of the translation.
The triangle is translated
unit(s) to the right and
unit(s) down.
Answers
Answer:
(5, -2), (-4, 1), (-4, -2)
The triangle is translated 1 units to the right and 4 units down.
Explanation:
I'll explain how (4, 2) translated into (5, -2)
so the translation is (x+1, y-4)
u basically just replace x and y with the coordinate of the original vertices
so (4+1, 2-4)= (5, -2)
Hope this made sense and plz give brainliest thx:)
After reading a book about ancient Egypt, Cassie decided to build a model of a pyramid out of cardboard
How much cardboard does Cassie need to make the model, including the bottom?
Answers
Answer: 2125 cm^2
Step-by-step explanation:
We will need to find the surface area of the pyramid:
SA = (1/2)Pl(slanted height) + b
SA = (1/2)(25*4)(30) + 25^2
SA = 1500 + 25^2
SA = 2125 cm^2
1/9 (2m - 16) = 1/3 (2m + 4)
Answers
Answer:
m = -7
Step-by-step explanation:
1. Multiply both sides of the equation by 9 to eliminate the fractions.
1/9 (2m - 16) = 1/3 (2m + 4)
*9 *9
2m - 16 = 3 (2m + 4)
2. Then you're going to distribute the 3 on the right side of the equation.
2m - 16 = 6m + 12
3. Rearrange the terms.
2m - 16 = 6m + 12
+16 +16
2m = 6m +28
-6m -6m
-4m = 28
4. Divide both sides by -4.
-4m = 28
/-4 /-4
m = -7
m = -7 is your final answer. Hope this helped :)
A pizza has 8 slices and sells for $12. At this rate, how much would 15 slices cost?
Answers
Answer:
$22.50
Step-by-step explanation:
8 Slices = $12
12/8 = 1.5
$1.50 = One Slice of Pizza
$1.50*15 = $22.50
Harrison reads 15 minutes per day for a project. The total number of minutes Harrison reads for the project is proportional to the number of days since he started the project.
The equation shown represents the total number of minutes Harrison has read since he started the project. What does x represent in the equation? y = 15x
Answers
Answer:
A. The number of days Harrison has read since he started the project.
I can drive my car 148 miles on 5 gallons. What is the unit rate in miles/gallon?
Answers
Answer:
29.6 miles per gallon
Step-by-step explanation:
Find the unit rate by dividing the number of miles traveled by the number of gallons:
148/5
= 29.6
So, the unit rate is 29.6 miles per gallon
Answer:
.25 gallons
Step-by-step explanation:
Will give brainliest!
Solve:
24t = 72
Answers
Answer:
Hi there user! Mizuki is here to help so yeah!
Anyways the correct answer is A
Step-by-step explanation:
24t = 72
t = 72/24
t = 3
If you have any questions, feel free to ask in the comments area!
Which set of ordered pairs shows a function?
O A. {(2, 3), (2, 6), (2, 9). (2, 12), (2, 15) }
O B. {(2, 6), (-3,6), (-8, 11), (6, 2) (9,-7))
O c. {(3, -5), (4, -4), (5,-3), (4, -2). (3, -1)}
O D. {(3, 8), (-3,2), (-6,0), (-3, -2), (3,-8)}
Answers
Answer:
B, hope this helps!
Step-by-step explanation:
Functions can not have repeating X values.
brainliest for the correct answer :)
Answers
[tex] \huge \mathrm{ \underline{ \underline{Àñswér}}}[/tex]
The Area of Shaded region is equal to the difference in Area of rectangle and Area of triangle .
let's solve for area of rectangle :
[tex]➢ \: \: length \times width[/tex]
[tex] \longrightarrow8 \times 3x[/tex]
[tex] \longrightarrow24x[/tex]
Now, Area of Triangle :
[tex]➢ \: \dfrac{1}{2} \times base \times height[/tex]
[tex] \longrightarrow \dfrac{1}{2} \times 4 \times x[/tex]
[tex] \longrightarrow2x[/tex]
So, the area of the shaded region in terms of x :
[tex] \longrightarrow24x - 2x[/tex]
[tex] \longrightarrow22x[/tex]
And since, Area of Shaded region = 44 cm²
By equating the area, we get
[tex] \large \boxed{ \boxed{22x = 44}}[/tex]
Value of x = 2
[tex] \mathrm{✌TeeNForeveR✌}[/tex]
Which polynomial does the model represent?
A black square, two white rods, three black rods, three white unit blocks and one black unit block are shown.
A. –x³ + 2x² – 3x + 2
B. x² + x – 2
C. –x² – x + 2
D. –x² + x – 2
Answers
Answer:
Step-by-step explanation:
Assume black represents negative and white positive, square is x^2, rod is x and block is number:
-x^2 +2x -3x +3 -1
= -x^2 -x + 2
The answer is C.
Pls help if you know the answer! Thanks! :)
Answers
Answer:
Point D
Step-by-step explanation:
-0.4 - (-0.5)=0.1
0.1÷10=0.01
0.01÷2=0.005
-0.4 - (-0.415)=0.015
Which of the following points could you remove so that the resulting graph is the graph of a function?
A. (-2, -3)
B. (-1, -5)
C. (0, 5)
D. (1, -3)
Answers
Answer:
(1, -3) can be removed so that the resulting graph represents a function. A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y
Step-by-step explanation:
Can you help me with these too?
its for a geometry final practice
plisss
Answers
Answer:
C. 57°
Step-by-step explanation:
All triangles have a sum of 180°.
m∠D + m∠E + m∠F = 180°
35° + m∠E + 88° = 180°
123° + m∠E = 180°
m∠E = 57°
Answer:
The answer is C!
Step-by-step explanation:
PLEASE HELP ITS MATH
2x2 + 6x – 7x + 8 – 3x2 + 1
A. 2x2 + x + 9
B. –2x2 – x – 9
C. –x2 – x + 9
D. x2 + 9
Answers
Answer:
C. -x^2-x+9
Step-by-step explanation:
Combine Like Terms:
what we have 2x^2+6x−7x+8−3x^2+1
=(2x^2−3x^2)+(6x+−7x)+(8+1)
=−x^2+−x+9
Answer:
[tex]-x^2-x+9[/tex]
Step-by-step explanation:
[tex]2x^{2} +6x-7x+8-3x^2+1[/tex]
[tex]2x^{2} +6x-7x+9-3x^2[/tex] Add 8 + 1
Combine like terms
[tex]2x^{2} +6x-7x+9-3x^2[/tex] [tex]6x-7x=-x[/tex]
[tex]2x^2-x+9-3x^2[/tex]
Combine like terms
[tex]2x^{2} -x+9-3x^2[/tex] [tex]2x^2-3x^2[/tex]
[tex]-x^2-x+9[/tex]