Answer:
10
Step-by-step explanation:
Which set of values could be the side lengths of a 30-60-90 triangle?
A. (5,5,√2,10)
B. (5,5,√3,10)
C. (5,5,10,√2)
D. (5,10,10,√3)
Answer:
B
Step-by-step explanation:
In a right triangle, the three angles are 30, 60 and 90 respectively. Let the side opposite the 30 degree Angle be A. The hypotenuse is 2a.
According to Pythagorean theorem, the other side is equal to the square root of 4a -a = sqrt 3A.
And then we get: the side opposite the 30 degrees over the other side over the hypotenuse is equal to 1: sqrt 3:2.
So it will be B, 5, 10, 5sqrt3
The set of values that could be the side lengths of a 30-60-90 triangle is (5, 10, 10√3). The answer is option D.
What is a triangle?A triangle is a closed two-dimensional geometric figure with three sides and three angles. It is the simplest polygon and is made up of three line segments that intersect at three points called vertices. The sum of the angles in a triangle is always 180 degrees.
In a 30-60-90 triangle, the side lengths are in the ratio:
1 : √3 : 2
So, if one side is x, then the other sides are x√3 and 2x.
Now, let's check the given sets of values:
A. (5, 5, √2, 10)
This set does not satisfy the ratio of the side lengths for a 30-60-90 triangle.
B. (5, 5, √3, 10)
This set does not satisfy the ratio of the side lengths for a 30-60-90 triangle.
C. (5, 5, 10, √2)
This set does not satisfy the ratio of the side lengths for a 30-60-90 triangle.
D. (5, 10, 10, √3)
This set satisfies the ratio of the side lengths for a 30-60-90 triangle, where the shortest side is 5, the longer leg is 5√3, and the hypotenuse is 10.
Therefore, the set of values that could be the side lengths of a 30-60-90 triangle is (5, 10, 10√3). The answer is option D.
To know more about triangles follow
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solve 7x> 5x + 2. show the graph of the solution on the number line
Answer:
i cant do the number line but the answer is x<1
Step-by-step explanation:
hi need help on this thankssss
Answer:
i believe it is 2/1. I"m not 100% sure though
Step-by-step explanation:
If you connect the two points (0, -3 and 1, -1) it rises 2 and runs (goes across) 1
Answer:
2 or if you want it in a fraction form 2/1 or 4/2
Step-by-step explanation:
Hope this helps :)
can someone help me
A computer store bought a program at a cost of $20 and sold it at a selling price of $22 find the percent markup
Answer:
18.03%
Step-by-step explanation:
hope this helps
Solve the inequality: x^2 ·(x +9)·(x −5)≥0
Answer:
OH GOD
WHAT TYPE OF DEMON MATH IS THIS
Step-by-step explanation:
sorry but tbh i have NO FRICKING CLUE!!!
Answer:
Please look at the pic that is your answer.
Exit Ticket: 1-4 Waves
In the following diagram the waves move from left to right and then stop. The motion of the wave will continue down the
rope after 2 seconds. Type in your answers.
0.4m
Time (sec): 2
a) What is the amplitude of the waves? 5 pts
b) What is the wavelength of the waves? 5 pts
c) How many waves are generated in two seconds? 10 pts
d) What is the frequency of the waves? 10 pts
e) What is the period of the wave? 10 pts
Answer:
a) 0.4m
b)2m
c)2
d)1 s^-1
e) 1 s
Step-by-step explanation:
a) The amplitude of the wave is the highest vertical displacement
with respect to this question, this is 0.4m
b) The wavelength of the wave is simply the distance between two crest or troughs
In this question, this is 2m
c) The number of waves generated is 2
d) Frequency of the waves is the number of waves generated per second
if 2 waves are generated in 2 seconds
The number of waves in a second is 2/2 = 1
So the frequency is 1 s^-1
e) Period is 1/frequency
= 1/1 = 1 second
Help please!!
x/2=x+6/4
Answer:
-4 I think
Step-by-step explanation:
helpppp!! its number 6!
Answer:
$4.50
Step-by-step explanation:
what you do is divide $22.50 by 5 pounds
Howard draws a car scale drawing where 4 cm represents 2 meters. The car is 8
meters long. How many centimeters long will the car be in Howard's drawing?
Answer:
4
Step-by-step explanation:
because if 4 represents 2 meters than 4 plus 4 equals 8 which is two times
You must scuba dive to the entrance of your room at Jules' Undersea Lodge in Key Largo, Florida. The diver is 1 foot deeper than 2/3 of the elevation of the entrance. The diver is -15 feet in the water. What is the elevation of the entrance?
Answer:
The answer is -21
Step-by-step explanation:
The elevation of the entrance of your room at Jules' Undersea Lodge is equal to -21 feet.
What do you mean by algebraic expressions ?
Algebraic expression is an equation which consists of variables and the arithmetic operations such as division , multiplication , etc.
It is given that , diver is 1 foot deeper than 2/3 of the elevation of the entrance. And the depth of diver is equal to -15 feet.
So , the diver is at depth under water = -15 feet
Let's assume that elevation of entrance is at x foot.
So , the algebraic expression representing the depth of diver is given by :
[tex]\frac{2}{3}[/tex] × x - 1 = -15
Solving for the value of x or the elevation of entrance we get :
[tex]\frac{2}{3}[/tex] x = -15 + 1
[tex]\frac{2}{3}[/tex] x = -14
2x = -14 × 3
x = -42 / 2
x = -21 feet
Thus , the elevation of the entrance of your room at Jules' Undersea Lodge is equal to -21 feet.
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The standard deviation of the ratings for Apple devices is 3.762. Interpret this value in a full sentence.
Answer:
Individual ratings variation from average ratings for apple devices, is on average 3.762.
Step-by-step explanation:
Standard Deviation is a measure of dispersion, around the average value (mean).
Formula : Σ I (x - u)^2 I , where u = mean, n = no. of units
n
Standard Deviation of the ratings for Apple devices is 3.762, implies that :-
Individual ratings variation from average ratings for apple devices, is on average 3.762.
Suppose the price of admission to the state fair is $9.50, and each ride costs an additional $2.25.
Karen is going to the state fair. If she can spend at most $50, which inequality can be used to solve for r, the number of rides Karen can go on?
A) 9.50 + 2.25r ≥ 50
B) 9.50r + 2.25 ≥ 50
C) 9.50 + 2.25r ≤ 50
D) 9.50r + 2.25 ≤ 50
Answer:
C
Step-by-step explanation:
You need to multiply the variable by how much each ride costs.
Find the equation in slope-intercept form that describes each line. a line through (2, 4) with slope 0
Answer:
y= 0x2 + 4
Step-by-step explanation:
HELPPP
What is the value of T ?
Answer:
[tex]t=\frac{4}{3} \\\\t=1.333333333333333....\\\\t=1\frac{1}{3}[/tex]
Step-by-step explanation:
A triangle's angles are always 180° total degrees.
The given triangle has the three little marks showing that the lengths are the same, so this means that the angles are also congruent. That means that the triangle is an equilateral triangle.
Set an equation where the given angle of F represents every angle and whose sum is 180°:
[tex](30t+20)+(30t+20)+(30t+20)=180\\\\3(30t+20)=180[/tex]
Solve for t. Use the distributive property:
[tex]90t+60=180[/tex]
Work to isolate the variable. Use inverse operations to cancel out the 60. Subtract 60 from both sides:
[tex]90t+60-60=180-60\\\\90t=120[/tex]
Use inverse operations to isolate t. Divide both sides by 90:
[tex]\frac{90t}{90} =\frac{120}{90} \\\\t=\frac{4}{3}[/tex]
The value of t is [tex]\frac{4}{3}[/tex].
:Done
WILL GIVE BRAINLIEST graph y=3x-5 using a table (show your work pls)
Answer:
The answer is (-5,3)
Step-by-step explanation:
Start at (0,0),then move 5 spaces left.Then 3 spaces up!!
Then you get (-5,3)
Hope this helps!!
A recipe for chicken marinade says, ''Mix 3 parts oil with 2 parts soy sauce and 1 part orange juice. ''if you need 42 cups of marinade in all,how much of each ingredient should you see?
Answer:
Parts of oil in 42 cups of marinade = 21 cups
Parts of soy sauce in 42 cups of marinade = 14 cups
Parts of orange juice in 42 cups of marinade = 7 cups
Step-by-step explanation:
Given that:
Parts of oil = 3
Parts of soy sauce = 2
Part of orange juice = 1
Total cups of marinade = 42
To find:
How much of each ingredient should be there ?
Solution:
This problem can be solved by taking the ratio of ingredients into account.
The ratio is:
Oil : Soy Sauce : Orange Juice = 3 : 2 : 1
So, we can let the parts of oil = [tex]3x[/tex]
Parts of soy sauce = [tex]2x[/tex]
Parts of orange juice = [tex]x[/tex]
As per the question statement:
[tex]3x+2x+x=42\\\Rightarrow 6x=42\\\Rightarrow x =7[/tex]
So, parts of oil in 42 cups of marinade = 3 [tex]\times[/tex] 7 = 21 cups
Parts of soy sauce in 42 cups of marinade = 2 [tex]\times[/tex] 7 = 14 cups
Parts of orange juice in 42 cups of marinade = 7 cups
PLEASE HELP, DUE TODAY AND IM STUCK, ITS TWO QUESTIONS, WILL GIVE BRAINLIEST ♥
Drop down options for #4:
13
4x
-4x
3
-3
Answer:
#4: Blank 1: 4x, Blank 2: 3; #5: A) or D)
Step-by-step explanation:
Question 4: 4x, 3
Divide using the rules of synthetic divison (see Khan Academy)Blank 1: 4xBlank 2: 3Question 5: A) or D)
B) and C) are automatically out- they have the wrong notationIt's either A) or D) - don't know for sureSolve the equation 2 – 2 = 42. Show your work or explain how you solved the equation, and justify whether the
solutions are extraneous or not.
Answer:
42 +2-2=42
Step-by-step explanation:
Answer:
first thing first 2-2=0 not 42
it is not cuz it is
what is the product of 2/3 * 3/8
Answer:
1/4
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
[tex] \frac{2}{3} \times \frac{3}{8} \\ cross \: out \: three \\ \frac{2}{1} \times \frac{1}{8} \\ divide \\ \frac{1}{4} [/tex]
Car Survey In a survey of 1.700 people who owned a certain type of car, 680 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car? % of the people surveyed were satisfied with the car . (Type a whole number)
Answer:
40%
Step-by-step explanation:
Total number of people who took the car survey = 1700
Number of people satisfied with a certain type of car = 680
Percent of satisfied people with the car
= [tex]\frac{\text{Total number of satisfied people with the car}}{\text{Total number of people surveyed}}\times 100[/tex]
= [tex]\frac{680}{1700}\times 100[/tex]
= 40%
40% of the people surveyed were surveyed with the car.
Picture for question !!!!
Answer:
( 3, -2)
There you go!
Answer:
(3, -2)Step-by-step explanation:
Translation right (or left) means change of the x-coordinate.
Translation up (or down) means change of the y-coordinate.
(-6, -13) → (-6+9, -13+11) = (3, -2)
In Ms. Jordan's math class,
● there are 4 more female students than male students;
● the number of male students is 23 the number of female students.
Let x represent the number of male students and y represent the number of female students.
Which system of equations can be used to determine the total number of students in Ms. Jordan's math class?
Answer:
there are 27 female
Step-by-step explanation:
Triangle ABC is dilated using the dilation rule D0.5(x, y) to form triangle A'B'C'. Point A is located at (10, 7.5), point B is located at (–5, 2), and point C is located at (0.5, –7).
Answer:
The coordinates of A' are [tex]A'(x,y) = (5, 3.75)[/tex].
The coordinates of B' are [tex]B'(x,y) = (-2.5, 1)[/tex].
The coordinates of C' are [tex]C'(x,y) = (0.25, -3.5)[/tex].
Step-by-step explanation:
The statement is incomplete, we present the complete statement below: Triangle ABC is dilated using the dilation rule [tex]D = 0.5\cdot (x,y)[/tex] to form triangle A’B’C’. Point A is located at [tex]A(x,y) = (10, 7.5)[/tex], point B is located at [tex]B(x,y) =(-5,2)[/tex], and point C is located at [tex]C(x,y) =(0.5,-7)[/tex]. What are the coordinates of A’? What are the coordinates of B’? What are the coordinates of C’?
We proceed to calcultate the coordinates of the triangle A'B'C' hereafter:
What are the coordinates of A'?
[tex]A'(x,y) = 0.5\cdot A(x,y)[/tex] (1)
[tex]A'(x,y) = 0.5\cdot (10, 7.5)[/tex]
[tex]A'(x,y) = (5, 3.75)[/tex]
The coordinates of A' are [tex]A'(x,y) = (5, 3.75)[/tex].
What are the coordinates of B'?
[tex]B'(x,y) = 0.5\cdot B(x,y)[/tex] (2)
[tex]B'(x,y) = 0.5\cdot (-5,2)[/tex]
[tex]B'(x,y) = (-2.5, 1)[/tex]
The coordinates of B' are [tex]B'(x,y) = (-2.5, 1)[/tex].
What are the coordinates of C'?
[tex]C'(x,y) = 0.5\cdot C(x,y)[/tex] (3)
[tex]C'(x,y) = 0.5\cdot (0.5,-7)[/tex]
[tex]C'(x,y) = (0.25, -3.5)[/tex]
The coordinates of C' are [tex]C'(x,y) = (0.25, -3.5)[/tex].
Answer:
(5, 3.75)
(-2.5, 1)
(0.25, -3.5)
Which graph represents a function
Lydia has 400$ in her bank account. Each week she withdraws 10$ for spending money. She also uses 5$ each week to get credit on her apple account. Which inequality statement can be used to determine how many weeks it will take for her bank account balance to drop below 300$ ?
Answer:
400 - 15x < 300
Step-by-step explanation:
We are told that she has 400$ in her bank account.
Now, Each week she withdraws 10$ for spending money. She also uses 5$ each week to get credit on her apple account.
Total total withdrawal each week = 10 + 5 = $15
If number of weeks she has been withdrawing is x, then would have withdrawn $15x after x number of weeks.
Thus, amount left after x number of weeks is:
400 - 15x
We want to find the inequality statement can be used to determine how many weeks it will take for her bank account balance to drop below 300.
Thus;
400 - 15x < 300
Solve 15 ≥ -3x or 2/5x ≥-2
{x | x ≤ -5}
{all reals}
{x | x ≥ -5}
Answer: x ≥ -5
Step-by-step explanation: the 15 ≥ 3x is x ≥ -5 and 2/5x ≥-2 =x ≥ -5
Answer:
Answer: x ≥ -5
Step-by-step explanation:
What is the axis of symmetry and y- intercept for the equation y = 3x² + 6x - 7 ?
The students in Celebration School donated 124 backpacks in one month.
Their goal is to donate the same amount each month for 18 months. If they
meet their goal, how many backpacks will the students donate?
Answer:
2232 Backpacks
Step-by-step explanation:
124 x 18 = 2232
Keisha has 29 carnival ride tickets and it takes 4 tickets to ride the roller coaster. How many times can she ride the coaster? How many tickets will she have left over?
Answer:
She can ride the roller coaster 7 times, with 1 ticket left over.
Step-by-step explanation: