Use the picture below to answer the question.
6 ft
The angle of elevation from the swimmer to the lifeguard is 35*
Find the distance x from the swimmer to the base of the lifeguard chair.
Find the distance y from the swimmer to the lifeguard.
Round to the nearest tenth as needed.
Select the correct response
x=7.3ft, y= 3.4ft
x=8.6 ft y=10.5 ft
x=3.4ft, y=73 ft
x=10.5 ft, y= 8.6 ft
Answers
Answer: x = 8.6 y=10.5
Step-by-step explanation:
This is a question about trig identities, familiarize yourself with sin, cos, tanIn this problem, our value for degrees is 35 and our opposite side is 6ftOur variables to solve are x and y, x being the adjacent size and y being the hypothenusey has to be the longest size, it being the hypothenuse, so eliminate the first and last optionstan = opposite/adjacent so, tan(35)=6/x.solve this equation for x, yielding 8.6For y, using the fact that sin=opposite/hypothenusesubstitute and get the equation sin(35)=6/ysolve and get y =10.5x=8.6 and y= 10.5Related Questions
What is the exact value of sin (7π/12)?
Answers
Answer:
0.9659
Step-by-step explanation:
sin 7π/12 = sin 105° = 0.9659
Answer:
The correct answer is sqr root of 6 + sqr root of 2 over/ 4. =)
Step-by-step explanation:
When working with piping offsets, which are based on right triangles. Which of the following angle measurements will you see as a standard elbow angle? a. 22.5, b. 60, c. 70. d.45
Answers
Answer:
d. 45°
Step-by-step explanation:
You want to know which from your list is a standard elbow angle.
ElbowAn elbow is a pipe fitting that is used to change the direction of piping. Elbows can be used together to produce an offset and/or a change in the plane of the piping.
Standard elbow angles commonly are 90°, 45°, and, less commonly, 22.5°. The greater the angle, and/or the smaller the bend radius, the more resistance to flow it has.
The best choice of answer here is 45°.
__
Additional comment
The typical elbow has the same kind of threads on both sides. A "street elbow" has male threads on one side and female threads on the other side.
Elbow joints are not necessarily threaded. They may also be soldered, welded, or compression joints.
Combine the like terms
-n + (-4) - (-4n) + 6
Answers
the simplest form of the given expression is 3n+2.
What is polynomials?
Using variables and coefficients, polynomials are algebraic expressions. The term "indeterminates" is sometimes used to describe variables. The terms Poly and Nominal, which together signify "many" and "terms," make up the word polynomial. When exponents, constants, and variables are combined using mathematical operations like addition, subtraction, multiplication, and division, the result is a polynomial (No division operation by a variable). The expression is categorized as a monomial, binomial, or trinomial based on the number of terms it contains.
-n + (-4) - (-4n) + 6
= -n + (-4) + 4n + 6
= 3n -4 +6
= 3n+2
Hence the simplest form of the given expression is 3n+2.
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a funeral
(since the element in the domain is repeated.
1) {(-1, 8), (0, 15), (1,-4), (2, 0)} 2) {(-5,2), (5,2), (0, -3), (3,-8)} 3) {(-2, 7), (6, 2), (-2,-3), (0, 9)}
it is a function
because there is not any
Points which have the
X-Coordinate and differen
y-Coordinates.
4) {(7,2), (4,-6), (2,-2), (4, -9)} 5) {(2, 3), (2, 4), (2, 5), (2,6)}
Practice: Determining if a Relation is a Function the Siven
6) {(1,-4), (2,-4), (3,-4), (4-4)}
Answers
2) {(-5,2), (5,2), (0, -3), (3,-8)} is a function.
3) {(-2, 7), (6, 2), (-2,-3), (0, 9)} is not a function.
4) {(7,2), (4,-6), (2,-2), (4, -9)} is not a function.
5) {(2, 3), (2, 4), (2, 5), (2,6)} is not a function.
6) {(1,-4), (2,-4), (3,-4), (4-4)} is a many to one function.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
We know a relation is a function if it is one-to-one and many-to-one.
But a function can not be one to many means the same value of x can not lead to different values of y.
2) {(- 5, 2), (5, 2), (0, -3), (3,- 8)} is a fuction as different values of x leads to different values of y.
3) {(-2, 7), (6, 2), (-2,-3), (0, 9)} is not a function as the input - 2 leads to two different outputs 7 and - 3.
4) {(7, 2), (4, -6), (2, -2), (4, -9)} is also not a function as input 4 leads to two different outputs - 6 and - 9.
5) {(2, 3), (2, 4), (2, 5), (2,6)} is not a function as input 2 leads to different outputs.
6) {(1, - 4), (2, - 4), (3, - 4), (4, - 4)} is a function and it is a many-one function.
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Abby is making tie dyed T-shirts for her class field trip each shirt costs 3.95. the dye costed 0.50 then she bought two boxes of salt to mix for 4.50 each. If she had 124.70 how many shirts can she make?
Answers
Answer:
3.95 + 0.50 + 4.50 × 2 = 13.45
13.45 × x = 124.70
x = 9
Therefore, she can make 9 shirts.
Question 2
If a = -3,6= 4 and c= -5, then by how much is the product abc greater than the sum a + b + c?
Answers
a = -3, b = 4, c = -5
Sum a+b+c= -3 + 4 -5 = -4
Product abc = (-3)(4)(-5) = 60
60-(-4) = 64
Pls help me, if you get it right I will give you Brainlist!
Answers
Answer:
38.5
Step-by-step explanation:
The formula for the area of the circle is [tex]\pi rx^{2} \\[/tex].
Since you have the diameter and you're told to use 3.14 as pi, all you need to do is to substitute.
The diameter is also 2 times the size of the radius so you divide 7 by 2.
So [tex](3.14)(3.5)^{2} = 38.5[/tex]
$1,800 principal earning 5%, compounded annually, after 9 years
Answers
Answer:
$2792.39
Step-by-step explanation:
→ Work out interest rate
( 100 + 5 ) ÷ 100 = 1.05
→ Multiply the amount by the interest rate to the power of 9
1800 × ( 1.05 )⁹ = 2792.39
Select all the correct answers. What are the solutions of this equation? x2-x-56=0
Answers
The roots of the quadratic equation x² - x - 56 = 0 is x = -7 or x = 8
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the equation be represented as A
Now , the value of A is
x² - x - 56 = 0 be equation (1)
On simplifying the equation , we get
x² - 8x + 7x - 56 = 0
Taking the common terms in the equation , we get
x ( x - 8 ) + 7 ( x - 8 ) = 0
Now , on factorizing the equation , we get
( x + 7 ) ( x - 8 ) = 0
We have two factors which can solve the equation ,
when ( x + 7 ) = 0
Subtracting 7 on both sides of the equation , we get
x = -7
And , when ( x - 8 ) = 0
Adding 8 on both sides of the equation , we get
x = 8
Therefore , the roots of the equation are x = -7 and x = 8
Hence , the quadratic equation is solved
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Answer:
x = 8
x = -7
Step-by-step explanation:
To find the solutions of the quadratic equation x^2 - x - 56 = 0, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this equation, a = 1, b = -1, and c = -56. Plug these values into the formula and calculate the discriminant (the value inside the square root):
Discriminant (D) = b^2 - 4ac = (-1)^2 - 4(1)(-56) = 1 + 224 = 225
Now, calculate the two possible solutions:
x1 = (-(-1) + √225) / (2(1)) = (1 + 15) / 2 = 16 / 2 = 8
x2 = (-(-1) - √225) / (2(1)) = (1 - 15) / 2 = -14 / 2 = -7
So, the correct solutions to the equation x^2 - x - 56 = 0 are:
x = 8 (x = 0 is not a solution)
x = -7
Physical Fitness Dino works out regularly. When he first started exercising, he
could do 10 push-ups. After the first month he could do 14 push-ups. After the
second month he could do 19, and after the third month he could do 25. Predict
the number of push-ups Dino will be able to do after the fifth month of
working out. How confident are you of your prediction? Explain.
Answers
Answer:
he will do 34 the next month
the terms rising action and climax best describe which narrative element?
Answers
Rising action and climax are best used to describe the narrative element of Plot.
What are rising action and climax ?The rising action of the novel encompasses all the developments of the characters and the dramatic events that build to the eventual climax. The most thrilling section of the story is the climax, which also marks a turning point in the plot or the objectives of the main character.
Rising action in literature refers to all the incidents that take place in a narrative leading up to the climax. The tale moves along thanks to the mounting action, which also heightens the tension and keeps us interested in what happens next. It comes after the first step of exposition in the plot.
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What is the P-value?
Answers
is b because he has been a great friend of the object of his cow and he is very good about the fact he has been coughing all night long time is a force of the object to do the work and to be a good man and
A dairy farmer milks his two cows every day. He determined the chance that he gets anywhere between 12 and 14 gallons of milk in one day is around 32%. Identify the method of probability the farmer used to reach this conclusion.
Answers
Answer:
Relative frequency
Step-by-step explanation:
Re
The ratio of yellow houses to white houses on a street is 18 to 26.
Simplify the ratio.
Enter your answer by filling in the boxes.
to
Answers
Answer: The ratio 18:26 simplified is 9:13.
Step-by-step explanation:
To simplify the ratio 18:26, we find the greatest common divisor of 18 and 26, and then we divide 18 and 26 by the greatest common divisor.
The greatest common divisor that you can use to simplify 18:26 is 2. Which means the answer to ratio 18:26 simplified is: 9:13
Answer:9/13
explanation: k12
You and a friend went to Taco Bell for lunch.
You ordered 3 soft tacos and 3 burritos for
$11.25. Your friend ordered 4 soft tacos and
2 burritos for $10. How much do soft tacos cost?
How much do burritos cost
Answers
Your order: 3x + 3y = 11.25
Your friend’s order: 4x + 2y = 10
The first thing I gather using the information above is that burritos are more expensive then tacos, right? Your order is more expensive, with 1 less taco and 1 more burrito than your friend’s. But now we need to find out just how much more burritos cost.
To do that, pick an equation and simplify it for either x or y. I’ll choose the second equation, because it has a simpler answer. Let’s see what y equals for that one.
2y = 10 - 4x
y = 5 - 2x
Burritos cost 5 minus the cost of two tacos. Just replace y with this in our other equation.
3x + 3(5-2x) = 11.25
Use the distributive property.
3x + 15 - 6x = 11.25
15 - 3x = 11.25
-3x = -3.75
3x = 3.75
One taco costs $1.25
It’s easy to find out what the other variable equals once you have one already. Just pick either of the equations and know how much a taco costs. I’ll jump back to the second one.
4(1.25) + 2y = 10
5 + 2y = 10
2y = 5
y = 2.5
As predicted, burritos cost more. One taco costs $1.25. One burrito costs $2.50. With problems like these, you can always double-check the answers if you’d like. Just plug in the numbers.
My answer is correct, though :)
HELP ASAP! (20 POINT CUZ I NEED DONE ASAP) In baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far, Jana has hit the ball 7 times out of 10 attempts. Tasha has hit the ball 10 times out of 16 attempts. Which player has a ratio that means they have a better batting average?
Tasha, because she has the lowest ratio since 0.7 < 0.625
Tasha, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the lowest ratio since 0.7 < 0.625
Answers
Tasha, because she has the lowest ratio since 0.7 < 0.625
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
The ratio of hits compared to total attempts is their batting average
Each player on the team wants to have the highest batting average to help their team the most.
Jana has hit the ball 7 times out of 10 attempts.
Average is 7/10=0.7
Tasha has hit the ball 10 times out of 16 attempts.
Tasha Average is 10/16=0.625
We need to find the player who has better batting average
Tasha, because she has the lowest ratio since 0.7 < 0.625
Hence, Tasha, because she has the lowest ratio since 0.7 < 0.625
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Which property is illustrated by the statement below? 4(3+2)=4(3)+4(2)
Answers
Distributive property is illustrated by the statement given as 4[3+2]=4[3]+4[2]
What is distributive property?The distributive property is defined as an expression of the form A(B + C). This property is known by distributive law and applies to subtraction also. This can be solved by a multiplication over addition operation that is written as:
A(B + C) = AB + AC
Distributive property is the sum of two numbers times a third number is equal to the sum of each add end times the third number.
Since the general rule is that:
a(b + c) = ab + ac
Then, 4[3+2]=4[3]+4[2]
Therefore, the given statement elaborates the Distributive property.
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The manager of a theatre recorded the number of people that brought tickets for each movie. What is the probability that next person in line will purchase a ticket to see movie #2
Answers
how many movies were there?
Can someone please help me!
Answers
9514 1404 393
Answer:
$970
Step-by-step explanation:
If we assume that the $1295 selling price of the first color television was paid to Camarena, and that he had no costs other than the ones described, then his profit was ...
$1295 -25 -300 = $970
What’s does 1.56x-7.8 equal
Answers
Answer:-12.168
Step-by-step explanation: multiply it regularly, then count how many decimals are after the numbers, in this case, 3. cus it’s 2 after 1.56 and one after 7.8
Answer: x=5
Step-by-step explanation:
Solve the rational equation by combining expressions and isolating the variable (x)
Rewrite the following phrase as a mathematical expression.
the sum of four times a number and five
4(5n)
4 + 5
4 + 5n
4n + 5
Answers
4 times a number is 4n
And 5 means your adding 5
So it would be the last option:4n+5
The volume of a cylinder is 40 f3. Which expression represents the volume of a cone with the same base and height as
the cylinder?
O 3(40) ft
O
1
40
O (40) At
o 3 (402)
Answers
Answer:
Option (3)
Step-by-step explanation:
Volume of the cylinder = 40 ft³
Since, volume of a cylinder is given by the expression,
V = [tex]\pi r^{2}h[/tex]
Here, r = radius of the circular base
h = Height of the cylinder
40 = [tex]\pi r^{2}h[/tex]
[tex]h=\frac{40}{\pi r^2}[/tex] ------(1)
Volume of a cone = [tex]\frac{1}{3}\pi r^{2} h[/tex]
By substituting the value of 'h' from equation (1)
Volume of the cone = [tex]\frac{1}{3}\pi r^{2}(\frac{40}{\pi r^{2} } )[/tex]
= [tex]\frac{1}{3}(40)[/tex] ft³
Therefore, Option (3) will be the correct option.
how many positive 10 digit numbers can you make using seven ones and three zeros
Answers
The number of positive 10 digit numbers that can be made using seven ones and three zeros is; 28
How to solve probability combinations?We want to find the number of positive 10 digit numbers that can be made using seven ones and three zeros.
Now, the leftmost position digit cannot be 0 and as such it is 1, due to the fact that there are no other possibilities.
The rightmost position therefore must be 0 in order to fill the need for an even number.
Thus, we have 8 remaining positions that we need to fill with six ones and two zeros using an arbitrary manner.
This means that we can place two digits of zero among 8 positions by using combination formula as;
⁸C₂ = 8!/(2! * 6*)
= 28 different ways
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Find the surface area of the give cube.
28 in
Answers
Answer:
4704 in²
Step-by-step explanation:
We are given that,
Edge of the cube = 6 inWe are asked to to find the surface area of the cube.
Surface area generally refers to total surface area .
[tex]\bigstar \: \boxed{\sf {Surface \; Area_{(Cube)} = 6a^2 }} \\ [/tex]
a denotes edge of the cube.→ Surface area of cube = 6 × (28)² in²
→ Surface area of cube = 6 × 784 in²
→ Surface area of cube = 4704 in²
[tex] \therefore [/tex] Surface area of cube is 4704 in².
renee spent 1/8 of the day landscaping around the house. she spent 1/2 of that time pulling weeds. what fractions of the day did renee spend pulling the weed? PLS HELP IM HAVING A UNIT TEST ON MONDAY
Answers
Answer:
Renee spent 1/2 of the time she spent landscaping pulling weeds, which is 1/2 * 1/8 = 1/16 of the day. Therefore, Renee spent 1/16 of the day pulling weeds.
The difference between the largest and smallest number in a given set of data
A) Mean
B) Median
C) Mode
D) Range
I'll give brainliestttt
Answers
Find the LCM X^2+X,X^2‐1,X^2‐X
Answers
The LCM is
( x − 1 ) ( x + 2) ( x + 3)
Remember that you can find the LCM between two expressions by multiplying them, and then dividing it with their GCF.
Find the zeros of the function.
Enter the solutions from least to greatest.
f(x) = (-x - 2) (-2x - 3)
lesser x =
greater x =
PLEASE I NEED HELPPPP
Answers
Answer:
lesser x= -2
greater x= -3/2 or -1.5
Step-by-step explanation:
f(x)=(-x-2)(-2x-3)
-x-2=0
+2 +2
-x=2
-1 -1
x=-2
-2x-3=0
+3 +3
-2x=3
-2 -2
x=-3/2
The zeros of the function are x = -2 and x = -1.5.
The lesser value of x is -2, and the greater value of x is -1.5.
What are the zeros of the function?A function's zeros, also known as roots or solutions in mathematics, are the values of the independent variable (typically represented as x) for which the function evaluates to zero. In other terms, a function's zeros are the x-values that make the function equal to zero.
To find the zeros of the function f(x) = (-x - 2) (-2x - 3), we set the function equal to zero and solve for x:
(-x - 2) (-2x - 3) = 0
To find the zeros, we need to consider each factor separately and set them equal to zero:
First factor: -x - 2 = 0
Solving for x, we add 2 to both sides:
-x = 2
Multiplying both sides by -1 to isolate x:
x = -2
Second factor: -2x - 3 = 0
Solving for x, we add 3 to both sides:
-2x = 3
Dividing both sides by -2 to isolate x:
x = -3/2 or -1.5
So, the zeros of the function are x = -2 and x = -1.5.
Therefore, the lesser value of x is -2, and the greater value of x is -1.5.
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Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with true standard deviation 0.77. (a) Compute a 95% CI for the true average porosity of a certain seam if the average porosity for 21 specimens from the seam was 4.85. (Round your answers to two decimal places.)
Answers
Answer:
The 95% CI for the true average porosity of a certain seam is (4.52, 5.18).
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{0.77}{\sqrt{21}} = 0.33[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 4.85 - 0.33 = 4.52.
The upper end of the interval is the sample mean added to M. So it is 4.85 + 0.33 = 5.18
The 95% CI for the true average porosity of a certain seam is (4.52, 5.18).
(True or false)
Please help me
Answers
Answer:
False
Step-by-step explanation:
The slope in the graph is not negative.
The correct equation for the graph would be [tex]y = \frac{3}{2} x+3[/tex]
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