Answer:
x=14
y=7
Step-by-step explanation:
this is a 30-60-90 triangle -- u can tell bc there is a right angle marker (90 degrees) and one angle is 30, so the other angle is 60
in a 30-60-90 triangle,,
the long leg = x√3
short leg = x
hypotenuse (the side opposite the right angle marker) = 2x
since u know the long leg is 7√3, the short leg = 7
and since the hypotenuse is 2x (twice the short leg), 7 times 2 = 14
The volleyball team is selling raffle tickets for $1. 50 each. It wants to make at least $250 from the sales. Assume everyone buys the same number of tickets. If there are 75 people at the fundraiser, what is the least number of tickets each person needs to buy to meet that goal?.
The least number of tickets each person needs to buy to meet that goal of volleyball team is 3 tickets.
What is an algebraic expression?The algebraic expression are used to represent the general problem in the mathematical way to solve them to find the value of unknown variable.
Let suppose the number of tickets sold are n. As the volleyball team is selling raffle tickets for $1.50 each and the total fund raised by selling the ticket is $250.
Thus, the number of tickets sold are,
[tex]n=\dfrac{250}{1.5}\\n\approx167[/tex]
Now everyone buys the same number of tickets and there are 75 people at the fundraiser. Thus, the number of tickets purchased by each fundraiser is,
[tex]x=\dfrac{167}{75}\\x=2.23[/tex]
The number of tickets should be more than 2.23 buy by each people to earn the profit at least or more than $250.
Hence, the least number of tickets each person needs to buy to meet that goal of volleyball team is 3 tickets.
Learn more about the algebraic expression here;
https://brainly.com/question/2164351
Choose the model for the problem 2\3 ÷ 2
NEED ANSWERS ASAP
By using division operation we can conclude that the model for 2/3 ÷ 2 = 0.3333333335.
What is division?
Division is an arithmetic operation that involves splitting a quantity or number into equal parts. It is the process of finding how many times one quantity is contained within another quantity.
To solve the problem 2/3 ÷ 2, we can use the division operation of arithmetic. However, since this is a simple calculation, there is no need to use a complex model or tool.
Here are the steps to solve the problem:
Divide 2 by 3:
2 ÷ 3 = 0.666666667 (rounded to nine decimal places)
Divide the result from step 1 by 2:
0.666666667 ÷ 2 = 0.3333333335 (rounded to ten decimal places)
Therefore, 2/3 ÷ 2 = 0.3333333335.
To learn more about division visit:
https://brainly.com/question/28119824
#SPJ1
Given: angle 2 and angle 4 are vertical angles Prove: angle 2 congreunt angle 4
Answer:
Step-by-step explanation:
Answer: View the picture below!
Step-by-step explanation: Just did it!
If f(x) =1/9x-2 what is f^1(x)
F^1(x) 9x+18
F^1(x) = 5x+2
F^1(x) =9x+2
F^1(x)=-2+1/9
Answer: 9x+18
Step-by-step explanation:
This pattern follows the "multiply by 3" rule. What is the next number in the pattern?
3, 9, 27, 81, ________
Answer:
243
Step-by-step explanation:
If you are multiplying by 3 for the next number in the sequence, you would need to do 81 x 3 which is 243.
Answer:
243
Step-by-step explanation:
If you are multiplying by 3 for the next number in the sequence, you would need to do 81 x 3 which is 243.
If peter spent 500 dollars, how much did john spent?
Answer:
500 dollars spend by john
What is the area of the shape?
Answer:
49
Step-by-step explanation:
Please check the photo.
Find the area A of polygon ABCDEFG with the given vertices.
A(0,5), B(2,5), C(2,3), D(3,2), E(1,2), F(0,3), G(−4,3)
The area A of polygon ABCDEFG with the given vertices is 10 square units
How to find the area A of polygon ABCDEFG with the given vertices?The vertices are given as
A(0,5), B(2,5), C(2,3), D(3,2), E(1,2), F(0,3), G(−4,3)
The area of the polygon is calculated using
Area = 1/2 * |(x1y2 -x2y1) +(x2y3 -x3y2) + ..... + (xny -xyn)|
So, we have
Area = 1/2 * |(0 * 5 - 5 * 2) + (2 * 3 - 5 * 2) + (2 * 2 - 3 * 3) + (3 * 2 - 2 * 1) + (1 * 3 - 2 * 0) + (0 * 3 - 3 * -4) +(-4 * 5 - 3 * 0)|
Evaluate the sum of products
So, we have
Area = 1/2 * |-20|
Remove the absolute bracket
So, we have
Area = 1/2 * 20
Evaluate the products
So, we have
Area = 10
Hence, the area A of polygon ABCDEFG with the given vertices is 10 square units
Read more about area at
https://brainly.com/question/25292087
#SPJ1
Q. find the value of x
Answer:
to find the value of x, bring the variable to the leftside and bring all the remaining values to the right side
Step-by-step explanation:
Thank me later
A train leaves Boston at 10:20 AM and arrives in Stamford at 1:00 PM. Find the distance between the stations if the average speed of the train is 60 mph.
What is y= -1/3- 9 written in standard form?
What is the opposite of each number?
Drag the answer into the box to match each number.
0.1
1/7
10
-7
0.1, -0.1 ,1 ,7, 10, 1/7, -10
Answer:
the opposite of 0.1 would be -0.1
the opposite of 1/7 would be 7
the opposite of 10 would be -10
the opposite of -7 would be 7
Tell me how to write linear equations for slopes, but in a way that's easy to understand.
Oh, and if you can, explain linear functions too
Answer:
First linear equattion is equation with two variables and its formlla is y=mx+b . Where y and x are variables and m is the slope . And b is rhe y intercept means the value which get from the value of x is 0. and x intercept is the value when y is 0
Help help help help help help help help help help help help help
Step-by-step explanation:
Answer:
√21
Step-by-step explanation:
2^2+b^2=5^2
4+b^2=25
b^2=21
√ b^2=√ 21
HURRY PLEASE THIS NEED TO BE ANSWERD IN 30 SECONDS FAKE ANSWER WILL BE REPORTED : )
Answer: (-6,0)
Step-by-step explanation:
Hope this helps!
The function f(x) is shown on the graph
If f(x) = 0, what is x?
O 0 only
O-6 only
O-2, 1, or 3 only
O -6, -2, 1, or 3 only
If f(x) = 0, the value of x are -1, 2 and 3.
What is Function?In mathematics, a function is an expression, rule, or law that establishes the relationship between two variables—the independent and dependent variables. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
We have f(x)= 0
As we know that the solution of the graph can be predicted by the number of times the lines of the graph touches the x axis.
Here when f(x)= 0 which also means that y =0 then values of x are -2, 1 and 3.
Thus, the value of x are -1, 2 and 3.
Learn more about Function here:
https://brainly.com/question/12431044
#SPJ7
What is the range of function g?
Answer:
C -4,-3
Step-by-step explanation:
for PLATO
The range is given as [tex]\rm \left\{y|y \ \epsilon \ R,y\neq -4,-3 \right\}[/tex]. Then the correct option is C.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The range of the function will be
The range will be a real number, but Exclude the line x = -3 and circle point on the graph at (5, -4)
Then the range is given as
[tex]\rm \left\{y|y \ \epsilon \ R,y\neq -4,-3 \right\}[/tex]
Then the correct option is C.
More about the domain and range link is given below.
https://brainly.com/question/12208715
#SPJ2
Help me find the expressions that are equivalent ?
Answer:
3⁶
9³
Step-by-step explanation:
We know that,
⇒ [tex]a^{x} *a^{y} =a^{(x+y)}\\[/tex]
⇒ [tex]\frac{a^x}{a^y} =a^{(x-y)}[/tex]
⇒ [tex](a^x)^y=a^x^y[/tex]
Let us solve it now.
3⁴ × 3²
3 ⁽ ⁴ ⁺ ² ⁾
3⁶ ⇒ 729
And let us find the value of each expression which are given as answers and find the expressions which are equivalent to 729 ( 3⁶ ).
3⁶ ⇒ 729 ( YES )9⁶ ⇒ 531,441 ( NO )9³ ⇒ 729 ( YES ) 3⁸ ⇒ 6,561 ( NO )9⁸ ⇒ 43,046,721 ( NO )if you have 12 ping pong balls how many tennis balls do you need
Which pair of triangles can be proved congruent by SAS?
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
The Triangles congruent by SAS criteria are the ones in choice B
where the two sides are given equal, one side is common in there and they have a right angle between the mentioned two sides.
So, it makes it more reasonable
Hope you understood ~ ask me if there's any doubt or more questions !
Find a, b and c so that the numbers 41, 46 a, b, c have a mean of 50 and a mode of 45.
Answer:
a = 45
b = 45
c = 73
The order doesn't matter as long as we have two copies of 45 and one copy of 73.
============================================================
Explanation:
If a,b,c are all different values, then there's no way to have a mode since the mode is the most frequent item. We need 45 to repeat itself more than once.
This means either a,b,c are the same value (45) or exactly two of those variables are equal (either a = b, b = c or a = c) to 45.
Let's assume that a = b = c = 45. If so, then
{41,46,a,b,c}
would update to
{41,46,45,45,45}
Adding those items up and dividing by 5 gets us
(41+46+45+45+45)/5 = 44.4
We don't get the mean of 50 we want. So all three a,b,c values cannot be 45.
---------------------------------
Instead, we have the case that exactly two of a,b,c are 45 and the third is something else.
Without loss of generality, let's say a = b = 45 and c is something else.
The set {41,46,a,b,c} updates to {41,46,45,45,c}
Add those values up, divide by 5, and set the result equal to the target goal of 50. The idea is to solve for c.
(41+46+45+45+c)/5 = 50
(177+c)/5 = 50
177+c = 5*50
177+c = 250
c = 250-177
c = 73
As a check,
(41+46+45+45+73)/5 = 50
which works out.
---------------------------------
So that's how we arrive to a = 45, b = 45, c = 73
The order of the letters doesn't matter. We could easily have a = 45, c = 73 and b = 45; or we could have a = 73, b = 45, c = 45.
All that matters is exactly two of the a,b,c are 45 and the third variable is 73.
what is the midpoint of the segment shown below? (-4,6) (4,-2)
See picture for math work and answer.
You need a box that has a volume of 6 ft3. Which box has this volume?
Box 1:
l = 3 ft
w = 2 ft
h = 2 ft Box 2:
l = 2 ft
w = 1 ft
h = 3 ft Box 3:
l = 2 ft
w = 3 ft
h = 4 ft
Answer:
Box 2
Step-by-step explanation:
length x width x height = volume
Answer:
box 2
Step-by-step explanation:
Question is in the pic
Answer:
y=-3x-1
Step-by-step explanation:
ill give 90 Points I need this NOW!
Write the phrase as an expression.
6 more than the quotient of 15 and 3
Solution:
We know that:
Given phrase: 6 more than the quotient of 15 and 3Rereading the phrase carefully.
{6} {more} than the {quotient of 15 and 3.} ↥ ↥ ↥ 6 + 15/3Expression formed: 6 + 15/3
Find the sum. Include all calculations in your answer. -4 5/8 =2 1/8
please hurry!
Answer:
Answer:
-2 1/4
Step-by-step explanation:
Please help ASAP!!
Thank you!
Answer:
x=22
Step-by-step explanation:
(5x+4)+44+x = 180. reason [being co-interior angle)
48+6x = 180
6x = 132
x=22
state the set of multiples of 3 between 5 and 29
Answer:
6, 9, 12, 15, 18, 21, 24, 27,
Step-by-step explanation:
Hope it helps
If I bought 2 1/4 pounds of hamburger, and the hamburger costed 4.48 dollars per pound, how much would it all cost? (I need answers quick, I'm in a test!)
Answer: $10.08
2 pounds of hamburger would equal $8.96.
1/4 of 4.48 is $1.12.
Add $8.96 and $1.12 is $10.08
Use the table to identify the values of pand that should be used to factor x2
+ 9x - 10 as (x + p)(x + a).
р
1
--1
2.
2
-10
10
-5
5
p+a
9
9
-3
3
O A. 2 and -5
O B. -2 and 5
O c. 1 and -10
OD. -1 and 10