Which triangle is similar to △ABC if sin(A) = One-fourth, cos(A) = StartFraction StartRoot 15 EndRoot Over 4 EndFraction, and tan(A) = StartFraction 1 Over StartRoot 15 EndRoot EndFraction?
Answers
Answer:
ΔXYZ
Step-by-step explanation:
Trigonometric identities are equations which are true for right angled triangles. They are:
sin(A) = opposite / hypotenuse, cos(A) = adjacent / hypotenuse, tan(A) = opposite / adjacent.
Given triangle ABC with ∠A with side BC opposite to the angle, ∠B with side AC opposite to the angle, ∠C with side AB opposite to the angle.
sin(A) = opposite / hypotenuse = BC / AC = 1/4
BC = 1, AC = 4
cos(A) = adjacent / hypotenuse = AB / AC = √15 / 4
AB = √15
tan(A) = opposite / adjacent = BC / AB = 1 / √15
Two triangles are said to be similar if the ratio of their corresponding sides are in the same proportion.
ΔXYZ and ΔABC are similar because the ratio of their corresponding sides are in the same proportion.
For adjacent side; XZ / AB = 6√15 / √15 = 6
For opposite side; YZ / BC = 6/1 = 6
For hypotenuse side; XY / AC = 24 / 4 = 6
Answer:
D. ΔXYZ
Step-by-step explanation:
Related Questions
PLZ HELP ME!!!
Why is it important to understand how variables work, inequalities, and basic awareness of exponents before starting algebra?
Answers
Answer:
It is important because they are the basics of algebra. Almost every algebraic problem you will ever solve is based on these fundamental properties. In equations, we almost never know every part of it so we will need variables to substitute the unknown amount in an equation. Variables are used for basically every equation/problem in algebra. Inequalities are not as important as variables but are still really important. Inequalities are basically comparing numbers. And in algebra when they add variables into an inequality, the inequality will help lower the number of possible values of said variable. And exponents are just a basic operation in algebra. Just like learning addition and subtraction. It is like a quicker and less complicated way of multiplying numbers.
PLZ HELP ME!!! ILL MARK BRAINLIEST!!!!!
Why is it important to understand how variables work, inequalities, and basic awareness of exponents before starting algebra?
Answers
Answer:
well algebra is basically about variables.
This is because you're assigning an equation or a number to a letter.
Exponents- that I don't really and inequalities
Roberto is cutting 3 loaves of homemade bread into halves to give to his neighbors. How many neighbors can he give ½ loaf of bread?
Answers
Answer:
6 neighbors
Step-by-step explanation:
1 bread can be given to 2 neighbors when cut in half(1/2). This case, you have 3 bread so 3x2=6
Answer:
6 because 1/2 goes into 3 6 times so your answer is 6 neighbors
Step-by-step explanation:
Helppp meeee pleaseeeee
Answers
Help. 100 more points. 1. Consider the surface area of the following pyramid.
(a) Calculate the total surface area of the pyramid. Show your work.
(b) Calculate the lateral surface area of the pyramid. Show your work.
Answer:
(by the way, a and b are not ANSWERS. if you answer with a or b i will find you and flick your head.)
Answers
Answer:
275 52.2 there you go um im not sure how to help you on the show your work but i hope this helps
Answer: The lateral area of a right pyramid can be calculated by multiplying half of the perimeter of the base by the slant height. This is summarized by the formula: LA 5 Ps. We can relate this formula to the square pyramid below and its net. The side length of the base of the pyramid is b, and the slant height is s.
Help me please chile
Answers
Answer:
1 neither
2 supplementary
3 supplementary
Step-by-step explanation:
6% of x = 600. Find the value of x.
Answers
Answer:
36%
Step-by-step explanation:
x = 600, so you need to find 6% of 600, which is 36%
:)
Answer:
36
Step-by-step explanation:
-4x + 64 < 242 + 3x
Giving extra points
Answers
Answer:
x>−178/7
Step-by-step explanation:
I'm assuming you wanted to solve for the inequality of x, if so this is the answer.
Find the value of y when x = -5.
y=6r
When x= -5, y=
Answers
Answer:
6
Step-by-step explanation:
Because y isn't it's number
Simplify the following expression.
3(2x+7)
Answers
3(2x + 7)
3 • 2x • 3 • 7
6x + 3 • 7
6x + 21
SOLVE PLEASE!!!
A. If a person bikes .24 miles in 1 minute, how far can he bike in 90 minutes?
B. A store sells notebooks at 2 for $4.72. Mrs. Johnston needs to buy 11 for her 3rd period class. How much will she have to pay for all of them.
Please solve a AND b BOTH OF THEM THEN YOU'LL GET 100 points plus the drown.
Answers
Answer: A.1.5 hours = 90 minutes
B.2.4 x 9= 21.6 miles
Step-by-step explanation:
plssss help i just cant figure it out
Answers
Marry wants to buy 8 pounds of grapes.Each pound cost $1.89 Mary has $15 .Does she have enough money to buy the grapes explain
Answers
Answer:
NO
Step-by-step explanation:
No she does not have enough money to buy 8 pounds. because for two pounds it costs 3.78 and with 15$ she can buy like six?
How to expand :
-2(t+1)^2+5
Please provide a step by step explanation!!
Answers
Answer:
Your answer is 21
Hope that this is helpful. Vote and like it
the figure shown consists of a triangle resting on a square of side 5 cm. the triangle has a height of 4 cm. what is the total area of the figure ?
Answers
So area of square is 5x5=25cm^2
Triangle is 5x4= 20
20/2 is 10cm^2
25+10=35cm^2
which two are equivalent expressions?
Answers
Answer:
4t and t+t+t+t
Plz mark as brainliest
-1 2/3 divided by (-2 1/5)
Answers
Answer:0.75757575757
Answer:
Fraction Form
25/33
Decimal Form
0.75
Step-by-step explanation:
First, convert the mixed fraction into an improper fraction, so it would look like:
-5/3 / (-11/5)
Next, divide. Remember, when multiplying fractions all you do is flip the one in parantheses and make both of them positive, so it would look like:
5/3 x 5/11
Finally, multiply so you do the two top numbers which is 5 x 5= 25 and the two bottom numbers so 11 x 3 is 33. Then your final answer is 25/33
What is sin B = 0.5592?
Answers
Answer:
sin(30°) = 0.5
sin(30°) is exactly: 1/2
Note: angle unit is set to degrees.
Step-by-step explanation:
Which set of ordered pairs represents a function?
{
(
−
2
,
4
)
,
(
−
1
,
6
)
,
(
−
6
,
3
)
,
(
−
6
,
4
)
}
{(−2,4),(−1,6),(−6,3),(−6,4)}
{
(
5
,
5
)
,
(
9
,
5
)
,
(
−
8
,
0
)
,
(
−
7
,
8
)
}
{(5,5),(9,5),(−8,0),(−7,8)}
{
(
−
2
,
6
)
,
(
8
,
−
3
)
,
(
−
8
,
4
)
,
(
8
,
−
8
)
}
{(−2,6),(8,−3),(−8,4),(8,−8)}
{
(
−
2
,
−
1
)
,
(
−
1
,
6
)
,
(
2
,
4
)
,
(
−
2
,
−
9
)
}
{(−2,−1),(−1,6),(2,4),(−2,−9)}
Answers
Answer:
the second one
Step-by-step explanation:
in order for it to be a function the x values CANNOT repeat.
in answer a the x value -6 repeats so that cannot be a function
in answer b none of the x values repeat so its probably this one but lets check the other ones just in case
in answer c the x value 8 repeats so it cannot be this one
in answer d the x value -2 repeats so it cant be this one \
b is the only one that does have repeating x values therefore it is the second one
Solve for X in the rectangle?
Answers
Answer:
x=6
Step-by-step explanation:
13x+12=90
13x=78
x=6
The value of x in the rectangle is 6.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The given quadrilateral is a rectangle.
In rectangle each angle has 90 degrees.
So equate 13x+12 and 90 degrees to get x
13x+12=90
Subtract 12 from both sides
13x=90-12
13x=78
Divide both sides by 13
x=6
Hence, the value of x in the rectangle is 6.
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ2
Evaluate one-third of the sum of 15 and 6 ( i know its a weird question but help me out please)
1/3 x ( 15 + 6 ) = ___
Answers
answer
Answer:
7
Step-by-step explanation:
15+6=21
21÷3=7
Answer:
7
Step-by-step explanation:
First you do the calculation inside the brackets,
15 + 6 = 21
Then you multiply the answer, 21, by 1/3
21 x 1/3 = 7
Have a great day :)
What is the product of:
7x4.5x6
Answers
Answer:
189
Step-by-step explanation:
:)
Answer:
189
Step-by-step explanation:
mulitply 7 by 4.5= 31.5
31.5 x6=189
The top of a coffee table is in the shape of a rectangle,
The length of the top of the coffee table is 3.5 feet and
the area is 105 square feet. What is the width of the top
of the coffee table
Answers
Answer:You would need to do 10.5/3.5. This equals 3ft
Step-by-step explanation:
A ladder leans against the side of the a house. The ladder is 17 feet long and forms an angle of elevation of 72 degree when leaned against the house. What is the height where the ladder meets the side of the house? Round your answer to the nearest tenth.
please explain how you got the answer if you can! thanks :)
Answers
Answer:
7 feet is your answer because by time the ladder reach the side of the house from 72 degree angle if you measure it right and cross path with the correct tools you will see that it reaches 7 ft
If the pattern in the table is extended to represent more equivalent ratios for 2:6, which pair of numbers would be Colums?
A) 20 would be in the column for 2, and 69 would be in the column for 6
B) 20 would be in the column for 6, and 60 would be in the column for 2,
C) 20 would be in the column for 2, and 56 would be in the column for 6.
D) 20 would be in the column for 6, and 56 would be in the column for 2.
Answers
Answer:
I believe it's B
Step-by-step explanation:
7 is increased to 21
Answers
Answer:
3
Step-by-step explanation:
What is the value of b?
Answers
answer is b=16
hope that helped loll
Answer:
I got you
Step-by-step explanation:
The answer is 32
ello awnser this what is 1 area x 649= ???
write in te awnser box
Answers
Answer:
Well I believe 1 x 649 equals 649 units as the area...
I tried my best! Hope this helps you!
helppppp MEEE!! i will also give brainiest
Answers
Answer:
1500
Step-by-step explanation:
Write the equation y + 4 = • 3 - 15
15) in
slope-intercept form.
Help with both please mostly the first one .
Answers
Answers:
1. y = 3/5 x - 13
2. y = 1/11 x + 2/11
{ i hope this helps :) i'm sorry if its wrong }