Find the length of the hypotenuse
34^2 + 27^2 = c^2
1156 + 729 = 1885
c^2 = 1885
sqrt(1885)
c = 43.42
Answer:
All sides of the triangle are a = 34, b = 27 and c = 46.7
and angles are A = 46°, B = 34.83° and C = 99.17°
Step-by-step explanation:
In a given triangle A = 46°, a = 34 units and b = 27 units
Then we have to find all angles and measure of the side left.
By sine rule,
[tex]\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}[/tex]
[tex]\frac{a}{sinA}=\frac{b}{sinB}[/tex]
[tex]\frac{34}{sin46}=\frac{27}{sinB}[/tex]
sinB = [tex]\frac{27\times sin46}{34}[/tex]
sinB = 0.5712
B = [tex]sin^{-1}(0.5712)[/tex]
B = 34.83°
Since in a triangle,
∠A + ∠B + ∠C = 180°
46°+ 34.83° + ∠C = 180°
80.83° + ∠C = 180°
∠C = 180 - 80.83 = 99.17°
[tex]\frac{b}{sinB}=\frac{c}{sinC}[/tex]
[tex]\frac{27}{sin34.83}=\frac{c}{sin99.17}[/tex]
[tex]\frac{27}{0.5711}=\frac{c}{0.9872}[/tex]
c = [tex]\frac{27\times 0.9872}{0.5711}=46.67[/tex]
Therefore, all sides of the triangle are a = 34, b = 27 and c = 46.7
and angles are A = 46°, B = 34.83° and C = 99.17°
Tom throws a ball into the air. The ball travels on a parabolic path represented by the equation h = -8t 2 + 40t, where h represents the height of the ball above the ground and t represents the time in seconds. The maximum value achieved by the function is represented by the vertex. Use factoring to answer the following:
How many seconds does it take the ball to reach its highest point?
What ordered pair represents the highest point that the ball reaches as it travels through the air?
Hint: because parabolas are symmetric, the vertex of a parabola is halfway between the zeroes of the quadratic.
Answer:
Time to highest point: 5/2, or 2.5 seconds
Ordered pair: (5/2, 50)
Step-by-step explanation:
Find the vertex of h(t). This will be the highest point of the ball
Find the x coordinate of the vertex with the formula: x = -b/(2a)
x = -40/[2(-8)] = -40/-16 = 5/2
to find the y value, plug 5/2 into the equation and solve
h(5/2) = -8(5/2)² + 40(5/2)
h(5/2) = -8(25/4) + 200/2
h(5/2) = -200/4 + 100
h(5/2) = 50
So the ball reached a maximum height of 50 feet
Final answer:
It takes 2.5 seconds for the ball to reach its highest point. The ordered pair representing the highest point is (2.5, 50), where the ball reaches a height of 50 meters.
Explanation:
The equation h = -8t^2 + 40t describes the height of a ball thrown into the air over time, where h is the height above the ground and t is time in seconds. To find how many seconds it takes for the ball to reach the highest point, we find the time at which the vertex of the parabola occurs since the vertex represents the maximum height.
We know that the ball will reach its highest point halfway between the times when it is at ground level (i.e., when h = 0). Factoring the quadratic equation 0 = -8t^2 + 40t gives us:
0 = t(-8t + 40)
0 = t(0, -8t + 40)
Setting each factor equal to zero gives us two values of t:
t = 0 s (when the ball is first thrown)
-8t + 40 = 0 => t = 5 s (when the ball hits the ground again)
Thus, the time to reach the highest point is halfway between 0 s and 5 s, which is 2.5 seconds.
The ordered pair representing the highest point is found by substituting t = 2.5 s into the original equation:
H = -8(2.5)^2 + 40(2.5)
H = -50 + 100
H = 50 meters.
Therefore, the ordered pair representing the highest point the ball reaches is (2.5, 50).
Which of these numbers are irrational?
I just need to know if im right or not Lol
Answer: The answer is A
PLEASE HELP ME, im offering 20 points!
Answer:
this is a whole math test which question do you need help with
Step-by-step explanation:
Sandy mixed 9 ml of an acidic solution with 8 ml of a 42% acidic solution, to make a 45% acidic solution. Find the percent acid concentration of the first solution.
Answer:
47.67%
Step-by-step explanation:
Amount of 1st solution = 9 ml
Let the percentage acid concentration of 1st solution is x%
Amount of 2nd solution = 8 ml
Percentage acid concentration of 2nd solution = 42%
Percentage acid concentration of the mixture = 45%
Amount of the mixture = 8 + 9 = 17 ml
1st Solution + 2nd Solution = Mixture
x% of 9 ml + 42% of 8 ml = 45% of 17 ml
[tex]0.09x + 3.36 = 7.65\\\\ 0.09x = 7.65 - 3.36\\\\ 0.09x = 4.29\\\\ x = \frac{4.29}{0.09}\\\\ x = 47.67[/tex]
Thus, the percent acid concentration of first solution is 47.67%
Chloe needs 80 hot dogs for her party. If each hot dog package has 8 hot dogs, how many packages of hot dogs does Chloe need to buy?
Answer:
10 Packages.
Step-by-step explanation:
8 * 10 = 80
Final answer:
To find out how many packages of hot dogs Chloe needs to buy, divide the total number of hot dogs she needs by the number of hot dogs in each package. Chloe needs to buy 10 packages of hot dogs.
Explanation:
To find out how many packages of hot dogs Chloe needs to buy, we need to divide the total number of hot dogs she needs by the number of hot dogs in each package.
80 hot dogs ÷ 8 hot dogs per package = 10 packages
Chloe needs to buy 10 packages of hot dogs.
the area of a square garden is 1/36 mi 2 how long is each side
Answer:
1/6 meters
Step-by-step explanation:
Let the side length be x.
Then the area of the square = x^2
∴ x^2 = 1/36
√(x^2) = √(1^2 / 6^2)
x = 1/6
Therefore, the side length is 1/6 meters.
Hope it helped you!!!
use the given parent function f(x) = [x] to graph g(x) = [x]+3
Answer:
Shift the graph up 3 units.
3 plus two times blank equals 17 what is the blank?
The owner of Cardo Reef Tours found when the price for a tour was $9 US dollars per person
the average number of customers was 1000 per month. When he reduced his price to $7 US dollars
per person the average number of customers increased to 1500 per month. Assuming that his
demand curve was linear, what price should he charge to obtain the largest monthly revenue?
b. If f(x) = 2x
3 − 24x, find the minimum and maximum values of f in the interval [−3,5].
Answer:
The answers for your two question problem are:
a. He should charge $7 dollars
b. Maximum value : f(5) = 130
Minimum value : f(2) = -32
Step-by-step explanation:
First problem
*When he charges $9 , the numbers of customers are an average of 1000
This means the revenue is
1000*$9 = $9000
*When he charges $7 , the numbers of customers are an average of 1500
This means the revenue is
1500*$7 = $10500
Since
$10500 > $9000
The owner should charge $7, to attract more customers and get higher revenue.
Second problem
f(x) = 2x^3 − 24x
To easily solve this problem, we can graph the equation using a calculator or any plotting tool.
Please, see attached picture
The highest point of the graph, in the interval [-3,5] corresponds to
f(5) = 130
and the lowest point :
f(2) = -32
BEST ANSWER GETS BRAINLIEST For the expression 6 − y + 3, determine the coefficient for the variable term
−1
0
3
6
What is the value of 4 + 5x when x = 3? =
11
12
17
19
1. The answer would be -1 because the variable term is -y which can also be written as -1y and the coefficient is the number before the variable.
2. The answer would be 19. If you plug 3 into the equation for x you would get 4 + 5(3). Five times three is 15, and 15 plus 4 is 19.
H/6-1=-3 solve for H
Add 1 to both sides
h/6 = -3 + 1
Simplify -3 + 1 to -2
h/6 = -2
Multiply both sides by 6
h = -2 * 6
Simplify 2 * 6 to 12
h = -12
need help with this math problem
Answer:
x = 6
Step-by-step explanation:
Complementary angles = angles that add up to 90 degrees.
Therefore 8x - 30 + 5x + 42 = 90
13x + 12 = 90
Subtract 12 from both sides and then divide each side by 13.
x = 6
Which is a measure of the efficiency of an investment? A. return rate B. return on investment C. efficiency coefficient
Answer:
[tex]\bold{Return \ Of \ Investment}[/tex]
Step-by-step explanation:
Return Of Investment: The performance used to evaluate the efficiency of an investment or compare the efficiency of a number of different investments.
It is a performance level used to compare the efficiency of one investment or more to several or just one more investments. They also evaluate the efficiency of one investment.
Return Of Investment (ROI) is very popular because it is simple, skilled and resourceful. If an investments ROI is net is positive, this tells them that it is worthwhile and has some use to it. If it is low, it lets people know that this is probably not the best solutions, and to not waste their time on something that won't work anyway.
[tex]\boxed{\bold{Mordancy}}[/tex]
Answer: B
Step-by-step explanation:
B. Return on investment .
Andy painted his house he used 1/4 of his paint to paint 5 walls how much paint did he use on the walls if he used the same amount of paint on each wall
Answer:
1/20 or 0.05 on each wall
Step-by-step explanation:
Answer:
1/20! 1/4 divided by 5 is 1/20.
Step-by-step explanation:
What must be added to x^2+20x to complete the square
Answer:
(x+10)^2-100
Step-by-step explanation:
Use the formula (b/2)^2 in order to create a new term to complete the square. Hope this helps :)
The figure shows two intersecting lines and the measures of the resulting angles.
What is the value of y?
Answer:
y= 114
Step-by-step explanation:
1) (4x+ 2x- 12+ 20)=180
First find x (22)
2) (2x+20)+y=180
Plug in x
3) y=114
The values of x and y are 16 and 124 respectively when the angles (4x - 12) and (2x + 20) are vertically opposite and one of these angles forms a linear pair with angle y.
Explanation:The subject of this question is mathematics, focusing on geometry and algebra. Vertically opposite angles are equal. Hence, (4x-12) = (2x+20). Solving for x, we get x = 16.
Also, it is mentioned that one of the angles forms a linear pair with angle y. A linear pair means that the two angles add up to 180 degrees. So, y + (2x+20) = 180. Substituting x = 16 in this equation and solving for y, we find that y = 124.
Learn more about Vertically opposite angles here:https://brainly.com/question/30195817
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What number should both sides of the equation be multiplied by to solve for x?x/4.5 = 6
Answer:
multiply by 4.5 to get x = 27
Step-by-step explanation:
Both sides should be multiplied by 4.5
x / 4.5 = 6
x = 27
Answer:
what she said cuz she was right but the answer on oddsy ware is 4.5
Step-by-step explanation:
What percent of the students are part-time students?
Answer:
The % is 33.3%
Step-by-step explanation:
Due to:
If 600 is the 100%, then 200 what % is?
600 ---> 100%
200 ---> %?
% = [(200)*(100)]/[600]
% = 33.3%
Best regards
A company produces items in small batches. The machinery needs to warm up before the items can be produced. The scatterplot show the time needed to produce batches of different number of items.
Answer:
C.
Step-by-step explanation:
The answer is C since the y intercept is 20.
Answer:
Statement C is true.
Step-by-step explanation:
In this question we will go through each statement.
(A). The equipment starts producing items after about 25 minutes of warning up - False
Because machine takes 20 minutes to produce the items.
(B). Each item requires about 12 minutes of production time - False
(C). The equipment starts producing items after about 20 minutes of warming up - True
(D) Each item requires about 3 minutes of production time. - False
What is the surface area of the cylinder?
answer is
= 1.312.53 ft²
Please help!!! Suppose a new student starts school today and your teacher asks you to teach her how to find decimal equivalents for fractions. What would you tell her? How would you convince the student that your method works?
Everyone has there own style.
1. Wouldn't they know how to do it already?
If not...
2. Is there a calculator available? If there is just tell them to divide the numerator by the denominator.
If not...
3. You'll have to use long division and get the answers.
Hope this helps, cheers.
Mrs. Jackson is covering her bulletin board with new paper. What formula should she use to figure out how much paper to buy?
Answer: A = L x W
Step-by-step explanation:. Mrs. Jackson should use the formula to calculate area in order to figure out how much paper to buy. The formula is Area = Length x Width. This will tell her exactly how much paper she will need to cover the bulletin board.
Answer:
Step-by-step explanation:
Something of this size could be measured in either ft² or in².
Area of a rectangle is determined by multiplying the width by the height. In this case the bulletin board will be installed vertically, so let's say that
Area of board = (width)(height)
If, for example, the width were 6 feet and the height 3.5 feet, the area of this board would be (6 ft)(3.5 ft) = 21 ft²
Since 1 ft = 12 in, this 6 foot by 3.5 foot board would be 72 inches by 42 inches.
Multiply: (−4x + 3)(−2x2 − 8x + 2) A) 8x3 − 26x2 − 32x + 6 B) 8x3 + 38x2 + 32x + 6 C) 8x3 + 26x2 − 32x + 6 D) 8x3 − 38x2 + 16x + 6
Answer:
Your answer is 8x3 + 26x2 − 32x + 6
So it's (c)
Answer: A) 8 x 3 + 26 x 2 − 32 x + 6
Step-by-step explanation:
What is 40% of 120?
Answer:
39% of 120 = ? ... 41% of 120 = ?
1% of 120 = ?
40% × 120 =
(40 ÷ 100) × 120 =
(40 × 120) ÷ 100 =
4,800 ÷ 100 =
48
Answer:
48
Step-by-step explanation:
Please come answer ASAP!!!
5 - n divided by 3 = 4 what is the value of n?
Hey there!
The equation we have been given is 5 - n/3 = -4.
Let's start by subtracting 5 from each side.
-n/3 = -9
Multiply each side by 3.
-n = -27
Multiply each side by -1.
n = 27
Check our answer.
5 - 27/3 = -4
5 - 9 = -4
-4 = -4
The value of n is 27.
Hope this helps!
I need help please. 2nd box: meters, cubic meters, or square meters.
Answer:
I believe it is meters
Step-by-step explanation:
I think so because the rectangle is labeled with meters
To find out area of a rectangle it is (l*w)
In this case it is 9m*7m which is 63 metres squared
Area is 63 metres squared
To find out perimeter of a rectangle we do 2(l*w)
In this case it is (2*9)+(2*7) which is 9+9+7+7=18+14 which is 32
Perimeter is 32 metres
You can jog around your block twice and the park once in 10 minutes. You can jog around your block twice and the park 3 times in 22 minutes.
a. Write a system of linear equations that represents this situation.
Let x represent the number of minutes it takes you to jog around your block and y represent the number of minutes it takes you to jog around the park.
What is the system of equations?
A recipe calls for of a cup of milk for 10 cookies. How many cups of milk are needed to make 60 cookies?
Answer: 6 cups of milk
Step-by-step explanation:
1 cup =10 cookies
60 cookies divided 10 cookies= 6cups
LetterD: is 120 minutes
Since p = 60 we can plug 60 into the equation.
so instead of (p / 20) x 4 it's (60 / 20) x 4 which equals 12 minutes.
Hope this helped!
Last summer bills lawn mowing service made a $4,500 profit. This summer his profit was $5,220. What percent increase was this?
20 points
Will mark brainliest
Show work
Answer:
The percent increase was [tex]16\%[/tex]
Step-by-step explanation:
we know that
Using proportion
Let
x------> the percent increase
[tex]\frac{100\%}{\$4,500}=\frac{x\%}{\$5,220-\$4,500} \\ \\x= 720*100\%/4,500\\ \\x=16\%[/tex]
The profit from Bill's lawn mowing service increased from $4,500 to $5,220, which is a 16 percent increase.
To calculate the percent increase in Bill's lawn mowing service profit, we would subtract the original profit from the new profit and then divide by the original profit. Finally, we multiply by 100 to get the percentage.
Original Profit = $4,500
New Profit = $5,220
Profit Increase = New Profit - Original Profit = $5,220 - $4,500 = $720
Percent Increase = (Profit Increase / Original Profit) x 100
Percent Increase = [tex]\frac{720}{4500}[/tex] x 100
Percent Increase = 0.16 x 100
Percent Increase = 16%
Therefore, the profit increased by 16 percent.