Answer:
hypotenuse + adjacent + opposite
Step-by-step explanation:
The three names of the sides on a triangle
Tina is planning to fence in an area for her dog. She wants to create a rectangular area of 1,600 square feet for her pet and can afford to purchase 160 feet of fence. In two or more complete sentences, explain the algebraic model, calculations and reasoning necessary to determine the dimensions of the rectangular area.
The dimensions of the rectangular area of Tina's fence is 40 ft by 40 ft
Area of a rectangle:area = lwwhere
l = length
w = width
She wants to create a rectangular area of 1,600 square feet for her pet . Therefore,
area = 1600 ft²lw = 1600
Therefore,
perimeter = 160 ft
Then,
perimeter of rectangle = 2(l + w)
160 = 2(l + w)
l + w = 80
Let's combine the equations
lw = 1600
l + w = 80
l = 80 - w
Therefore,
w(80 - w) = 1600
80w - w² = 1600
Therefore,
w² - 80w + 1600 = 0
w² - 40w - 40w + 1600 = 0
w(w - 40) - 40(w - 40) = 0
(w - 40)(w - 40) = 0
w = 40 or 40
Therefore, the dimensions can be calculated as follows:
lw = 1600
40l = 1600
l = 1600 / 40
l = 40 ft
Therefore, the dimensions are 40ft by 40 ft
learn more on algebraic model here: https://brainly.com/question/4151078
Find the equation of the line that passes through (3,1) and is parallel to y=3−2x. Leave your answer in the form y=mx+c
How do I find the equation of the line y=mx + C, passing through the points M (-2, -3) and T (3, 7)?
How do I find the equation of the line y=mx + C, passing through the points M (-2, -3) and T (3, 7)?
A2A
y = mx + C is often called slope-intercept form.
There are two pieces of information you will need to solve for. #1: The slope, which is m, and #2: the y-intercept, which is C (incidentally I learned this as y = mx + b, instead of y = mx + C, but that is a trivial detail)
Step #1 Find the slope. use the formula slope = (y₂ - y₁)/(x₂ - x₁) => (7 - -3)/3 - -2) = 10/5 = 2. m=2
Step #2 Find the y-intercept. Solve for y = mx + C when x is 2 and x = -2 and y = -3 -3 = 2(-2) + C => -3 = -4 + C add 4 to both sides, 1 = C
Equation: y = 2x + 1.
Check: x = 3 => y = 2(3) + 1 => y = 6 + 1 => y = 7 => (3, 7)
Check: x = -2 => y = 2(-2) + 1 => y = -4 + 1 => y = -3 => (-2, -3)
ANYONE SMART AT MATH NEED HELP ON THIS
A bag of marbles contains 6 blue marbles and 1 green marble. Mary and Frank will draw a blue marble followed by a green marble, without replacing the first marble. Mary says the probability will be 6/49, and Frank says that the probability will be 1/7. Who is correct? Explain and justify your answer by showing work.
---------------Is correct because___
Answer:
Frank is correct.
Step-by-step explanation:
Frank is correct because the bag does not have 49 marbles but it does have 7 total.
You can double check this: 6 + 1 =7. 7 marbles total so frank is correct!
Have an amazing day!!!
PLEASE RATE!!
Need help with the math question?
Answer: try to find the triangle and then mesure it
Step-by-step explanation:
geometric mean between 2 and 2/9
Answer:
2/3.
Step-by-step explanation:
Geometric mean = √(2 * 2/9)
= √(4/9)
= 2/3.
The geometric mean between 2 and 2/9 is 2/3.
What is mean?We can define the mean of the given data set as the average of all the
numbers. Mathematically, we can write mean as -
M = ∑x{i}/n
Given is to find the geometric mean between 2 and 2/9.
The general formula used to calculate the geometric mean is -
[tex]$\left(\prod _{i=1}^{n}x_{i}\right)^{\frac {1}{n}}={\sqrt[{n}]{x_{1}x_{2}\cdots x_{n}}}[/tex]
We can write the geometric mean between 2 and 2/9 as -
GM = √(2 x 2/9)
GM = √(4/9)
GM = √4/√9
GM = 2/3
Therefore, the geometric mean between 2 and 2/9 is 2/3.
To solve more questions on Mean, visit the link below-
https://brainly.com/question/10528201
#SPJ3
PLEASE HELP PLEASE HELP IM GIVING BRAINLIEST AND 30 POINTS FOR ANYONE THAT ANSWERS IN 5 MIN
Answer:
[tex]\sf \dfrac{27}{512}[/tex]
step:
[tex]\hookrightarrow \sf (\dfrac{3}{8} )^3[/tex]
rewrite:
[tex]\hookrightarrow \sf (\dfrac{3}{8} )(\dfrac{3}{8} )(\dfrac{3}{8} )[/tex]
remove parenthesis
[tex]\hookrightarrow \sf(\dfrac{9}{64} )(\dfrac{3}{8} )[/tex]
final answer
[tex]\hookrightarrow \sf \dfrac{27}{512}[/tex]
(5x + k)2 = mx2 + 70x + 49
Find m
Find k
Answer:
10x+2k=(2m+70) x + 49
10= 2m+70
2m=-60
m = -30
2k=49
k= 49/2
Calculate the amount of property tax Alice Brown owes on her home, which has an assessed value of $90,000. The tax rate in her community is $31. 00 per $1,000 of assessed value.
Answer:
$2,790
Step-by-step explanation:
This is the concept of commercial arithmetic, the amount of tax calculated from $90,000 will be:
Rate*value
=31/1000*90000
=$2,790
the answer is $2,790
A football coach is planning on purchasing training videos
for each player who misses his summer camp. He randomly asks 15 players, and 4 of them say they will miss the camp. How many players out of 75 can the coach expect to miss the summer camp?
.please help
Janelle wants to buy a shirt for a friend. Her choices of material are polyester and cotton. Shirts are available in yellow, orange, and blue. Make an organized list showing the different choices Janelle has.
polyester, orange
polyester, blue
polyester, yellow
cotton, orange
cotton, blue
polyester, orange
polyester, blue
polyester, yellow
polyester
polyester
polyester
cotton
cotton
cotton
polyester, orange
polyester, blue
polyester, yellow
cotton, orange
cotton, blue
cotton, yellow
Answer:
polyester, orange
polyester, blue
polyester, yellow
cotton, orange
cotton, blue
cotton, yellow
Step-by-step explanation:
The plane is equipped with an orthogonal frame (0, i, j).
Let (d) be the line with cartesian equation:
(d) : 2x-3y+1=0 and A(-4,3)
Find the coordinates of the orthogonal projection of A on the (d).
Answer:
what
Step-by-step explanation:
you know you should drink some water. 75% of americans are dehydrated and don't know it. being hydrated will fix your problems. because being dehydrated will make you not able to do simple math :)
What is the value of n for: n - 10 = 20
Answer:30
Step-by-step explanation: 20+10
Answer:
30
Step-by-step explanation:
n-10 = 20 add 10 to both sides
+10 +10
n=30
Hope this helps :)
Given sec A = - squareroot 85/6 and that angle A is in Quadrant II, find the exact value of
cot A in simplest radical form using a rational denominator.
Answer: -6/7
Step-by-step explanation:
Which student correctly translated the phrase ""twice the sum of a number cubed and nine"" and evaluated it for r = 3? Antonio's work. 2 (r cubed 9) = 2 (3 cubed 9) = 2 (9 9) = 2 (18) = 36. Jessica's work. 2 (r cubed 9) = 2 (3 cubed 9) = 2 (27 9) = 2 (36) = 72. Maria's work. 2 r cubed 9 = 2 3 cubed 9 = 2 27 9 = 29 9 = 38. Mark's work. 2 3 r 9 = 2 3 (3) 9 = 2 9 9 = 11 9 = 20.
By simplifying given phrase "twice the sum of a number cubed and nine" and evaluating it for r = 3 we got that Jessica done it correctly
What is cube of any number ?Cube of any number means multiplying that number with itself 3 times.
For example [tex]3^3=3\times3\times3=27[/tex]
Here given phrase is
twice the sum of a number cubed and nine
let number be r
We can write it as
[tex]2(r^3+9)[/tex]
Now evaluating it for r=3
[tex]2(3^3+9)[/tex]
Now we can simplify it as
[tex]2(27+9)\\\\=(36)\\\\=72[/tex]
By simplifying given phrase "twice the sum of a number cubed and nine" and evaluating it for r = 3 we got that Jessica done it correctly
To learn more about cube visit : https://brainly.com/question/107100
Answer:
B
Step-by-step explanation:
sorry if I'm late<3
169 as sum of odd numbers
Answer:
3 odd numbers can make 169, for an example,
33 + 63 + 73
If my answer helped, then kindly mark me as the brainliest!!
Thank You!!
Answer:
Step-by-step explanation:
Sum of first n odd numbers=n²
13²=169
Therefore sum of 13 odd numbers is 13²
1+3+5+7+9+11+13+15+17+19+21+23+25=169=13²
If sine theta almost-equals negative 0.7660, which of the following represents an approximate value of tangent theta, for 180 degrees less-than-theta less-than 270 degrees? 0.7660 0.8392 1.1916 1.4198
The value of the tangent when the angle is from 180 to 270 is 0.9392. Then the correct option is B.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
If sine Θ almost equals negative 0.7660.
Then the angle will be
[tex]\theta = sin ^{-1} (-0.7660)\\\\\theta = -49.996^o[/tex]
The interval of the angle is from 180 degrees to 270 degrees. Then we have to add 270 degrees in the angle. Then the angle will be
[tex]\theta = -49.996^o + 270^o\\\\\theta = 220.0039^o[/tex]
Then the tangent of Θ will be given as
[tex]tan \theta = tan \ (220.0039^o) = 0.8392[/tex]
More about the trigonometry link is given below.
https://brainly.com/question/22698523
Answer:
C. 1.1916
Step-by-step explanation:
Have a great day
The cafeteria sold 200 grilled cheese sandwiches, 100 tacos, and 150 grilled chicken salads. What is the ratio of grilled chicken salads to the total number of lunches sold?
Answer:
3:2:1
Step-by-step explanation:
2 is the grilled chicken
Hope this helps.
Find the solutions to (x + 4)2 = 25.
Check all that apply.
Answer:
x= 17/2 is the correct answer
Please help!
See the image below:
Answer:
I didn't understand the questionMultiply –2(x + 6)(3x – 5). Choose the simplified expression.
Answer:
−6x^2 −26x +60
Step-by-step explanation:
Simplify the equation.
Suppose a certain traffic light shows a red light for 50 seconds, a green light for 50 seconds, and a yellow light for 5 seconds. If you look at this light at some randomly selected instant, what is the probability you will see a yellow or green light?
Answer:
[tex]P(Yellow\ or\ Green) = 0.524[/tex]
Step-by-step explanation:
Given
[tex]Yellow = 5\ seconds[/tex]
[tex]Green = 50\ seconds[/tex]
[tex]Red = 50\ seconds[/tex]
Required
Determine the probability of Green or Yellow
First, we need to determine the total time
[tex]Total = 50 + 50 + 5[/tex]
[tex]Total = 105\ seconds[/tex]
Next, is to determine the required probability
This is calculated as follows:
[tex]P(Yellow\ or\ Green) = P(Yellow) + P(Green)[/tex]
[tex]P(Yellow\ or\ Green) = \frac{n(Yellow)}{Total} + \frac{n(Green)}{Total}[/tex]
[tex]P(Yellow\ or\ Green) = \frac{5}{105} + \frac{50}{105}[/tex]
[tex]P(Yellow\ or\ Green) = \frac{5 + 50}{105}[/tex]
[tex]P(Yellow\ or\ Green) = \frac{55}{105}[/tex]
[tex]P(Yellow\ or\ Green) = 0.52380952381[/tex]
[tex]P(Yellow\ or\ Green) = 0.524[/tex] -- Approximated
Which expression is equivalent to 10x2 + (6x − 8x2) + 3 − (9x +4)?
You are missing expression..
But if you simplify you can find the answer (given below)
Answer:
[tex]2x^2-3x-1[/tex]
Step-by-step explanation:
[tex]10x^2+\left(6x-8x^2\right)+3-\left(9x+4\right)[/tex]
[tex]\mathrm{Apply\:rule}:\quad \:a+\left(b+c\right)=a+b+c[/tex]
[tex]10x^2+\left(6x-8x^2\right)=10x^2+6x-8x^2[/tex]
[tex]=10x^2+6x-8x^2+3-\left(9x+4\right)[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=-\left(9x+4\right)+10x^2-8x^2+6x+3[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:10x^2-8x^2=2x^2[/tex]
[tex]=-\left(9x+4\right)+2x^2+6x+3[/tex]
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a+b\right)=-a-b[/tex]
[tex]-\left(9x+4\right)=-9x-4[/tex]
[tex]=-9x-4+2x^2+6x+3[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=2x^2-9x+6x-4+3[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:-4+3=-1[/tex]
[tex]=2x^2-9x+6x-1[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:-9x+6x=-3x[/tex]
[tex]=2x^2-3x-1[/tex]
Answer = [tex]2x^2-3x-1[/tex]
~Learn with Lenvy~
Students are playing a game. In the game, students collect and trade building materials. Materials of equal value used for trading are shown in the table. Materials of Equal Value for Trading 1 stone = 4 logs 1 brick = 10 logs 2 logs = 150 nails Part A: How many stones are needed to trade for 10 bricks?
Answer:25
Step-by-step explanation:
Linda's recipe makes 20 chocolate candies.
She uses:
1 cup cream
3 cups dark chocolate
Using Linda's recipe:
2. How much dark chocolate will you need to make 60 candies? Write proportion and solve.
9514 1404 393
Answer:
9 cups
Step-by-step explanation:
If x represents the number of cups of dark chocolate needed for 60 candies, the proportion can be ...
cups/candies = 3/20 = x/60
Multiplying by 60 gives ...
x = 60(3/20) = 9
You need 9 cups of chocolate for 60 candies.
1) Which BEST describes the arrangement of the categories on the Pareto graph?
es
A) The categories are arranged in order of their frequencies from the least frequent to the most frequent on the Pareto graph.
B) The categories are arranged in order of their frequencies from the most frequent to the least frequent on the Pareto graph.
The categories are arranged in alphabetical order on the Pareto graph.
D) The categories are arranged in no specific order on the Pareto graph.
The arrangement of categories on the Pareto graph is such that B) The categories are arranged in order of their frequencies from the most frequent to the least frequent.
How is data organized on the Pareto graph?A pareto graph is such that the category which has the highest frequency will be shown first. The next highest is second and this goes on till the least.
The attached pareto graph does this by showing traffic as the first because it has the highest frequency.
In conclusion, option B is correct.
Find out more on pareto graphs at https://brainly.com/textbook-solutions/q-22-state-graph-pareto-chart-time-series-6#q-22-state-graph-pareto-chart-time-series-2.
What is the simplified form of the following expression? Assume x greater-than 0 RootIndex 4 StartRoot StartFraction 3 Over 2 x EndRoot EndFraction.
By simplifying we got that x greater-than 0 RootIndex 4 StartRoot StartFraction 3 Over 2 x EndRoot EndFraction. can be written as : [tex]2x^4-3 > 0[/tex]
What is root index ?In [tex]y=a^{1/n}[/tex] n is root index of a.
Here given equation
x greater-than RootIndex 4 StartRoot Start Fraction 3 Over 2 x EndRoot EndFraction.
It can be written as:
[tex]x > (\frac{3}{2} )^{1/4}\\\\x^4 > \frac{3}{2}\\ \\2x^4 > 3\\\\2x^4-3 > 0\\\\[/tex]
By simplifying we got that x greater-than 0 RootIndex 4 StartRoot StartFraction 3 Over 2 x EndRoot EndFraction. can be written as : [tex]2x^4-3 > 0[/tex]
To learn more about root index visit : https://brainly.com/question/8952483
Kelly is 4 feet , 3 inches tall. How many inches tall is Kelly ?
Answer:
51 inches
Step-by-step explanation:
1 foot = 12 inchesConvert the feet given to inches: 4 × 12 = 4848 + 3 = 51I hope this helps!
51 inches tall is Kelly .
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, we have,
Kelly is 4 feet , 3 inches tall.
We know that,
1 foot = 12 inches
Convert the feet given to inches: 4 × 12 = 48
48 + 3 = 51 inch.
Hence, 51 inches tall is Kelly .
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ2
$74 dollars for 6 hours. what is hourly payrate of dollars per hour
Answer:
$12.33
Step-by-step explanation:
74/6 = 12.33
Answer:
12.3
Step-by-step explanation:
I hope this is right!
ASAP! I need help with this equation!
Answer:
y = 163°
Step-by-step explanation:
the angle with value 163° is actually an opposite angle of the angle y
Answer:
the angle is 163
help me please thank you
Answer:
Step-by-step explanation:
6) The diagonals of an isosceles trapezoid are congruent.
7) D) A diagonal of a kite bisects each of the non congruent angles and the other diagonal.
8) C) The diagonals of an isosceles trapezoid are congruent.
Hint:
Properties of isosceles trapezoid:
1. Only one pair of opposite sides are parallel.
2. The diagonals are congruent.
3. The base angles are congruent.
4. The opposite angles are supplementary.