A right angled triangle with its side length is given. The sides of the triangle are 12ft , 13ft and 5ft. And we need to find out the value of cot A .
Here :-
Base = 12 ft .Perpendicular = 5ft. Hypotenuse = 13ft.We know :-
[tex]\tt\implies cot \theta = base / perpendicular [/tex]
Substitute the respective values :-
[tex]\tt\implies cot \theta = base / perpendicular\\\\\tt\implies\boxed{\red{\tt cot A = 12/5 }}[/tex]
Hence the required answer is 12/5.
A tiene la mitad de lo que tiene B. Si A gana 66 y B pierde 90. A tendrá del doble de lo que le quede a B ¿cuanto tiene cada uno?
Respuesta:
a = 82; b 164
Explicación paso a paso:
a = 1 / 2b - - - (1)
a gana 66 = a + 66
b = b - 90
a = 2b
a + 66 = 2 (segundo - 90) - - - (2)
Ponga a = 1 / 2b en (2)
1 / 2b + 66 = 2 (b-90)
0.5b + 66 = 2b - 180
0.5b - 2b = - 180 - 66
-1,5b = - 246
b = 164
a = 1 / 2b
a = 1/2 * 164
a = 82
A boat spots a helicopter at an angle of elevation of 40 degree that is reporting a height of 900 feet above the water. How far is the horizontal distance from the boat to the helicopter?
Answer:
1072.58feet
Step-by-step explanation:
Given the following
Angle of elevation = 40degrees
Height of helicopter above the water = 900feet
Required
Horizontal distance H
Using the SOH CAH TOA identity
tan theta = opposite/adjacent
tan 40 = 900/H
H = 900/tan40
H = 900/0.8391
H = 1,072.58feet
Hence the horizontal distance from the boat to the helicopter is 1072.58feet
What is the product of -1.24 and 4.25?
A-5.27
B -3.01
C 3.01
D 5.49
Find the VOLUME of this figure.
Answer:
188,160
Step-by-step explanation:
if your doing it by step the answer is 188,160 but when you simply it it is 62.6
Item 19 Your pump empties the water from a swimming pool in 6 hours. When your friend's pump is used together with your pump, the pool is emptied in 1.5 hours. How long (in hours) does it take your friend's pump to empty the pool when working alone
Answer:
0.75 hours
Step-by-step explanation:
Time taken by my pump = 6 hours
Time taken by friend's pump = x
Combined time = 1.5 hours
Rate :
my pump = 1/6
Combined rate = 1/1.5
Combinwd rate = 1/6 + 1/x
Hence :
1/6 + 1/x = 1/1.5
(x + 6) / 6x = 1.5
x + 6 = 9x
x - 9x = - 6
-8x = - 6
x = - 6 / - 8
x = 0.75 hours
A water slides at a party of s 15 feet tall.The base of the water slide is 8 feet long.what is the length of the slide?
Answer:
It would be 17 feet.
Step-by-step explanation:
So to do this, there is a right triangle being made with the height of the water slide and its base (length). With this, the Pythagorean Theorem can be used to find the hypotenuse of these lengths by the equation:
a^2 + b^2 = c^2
So by plugging in the given legs of the triangle, the answer can be found.
15^2 + 8^2 = c^2
225 + 64 = c^2
289 = c^2
c = 17
A 41 gram sample of a substance that's used to detect explosives has a k-value of 0.1392. Find the substance's half life, in days.
Answer:
The substance half-life is of 4.98 days.
Step-by-step explanation:
Equation for an amount of a decaying substance:
The equation for the amount of a substance that decay exponentially has the following format:
[tex]A(t) = A(0)e^{-kt}[/tex]
In which k is the decay rate, as a decimal.
k-value of 0.1392.
This means that:
[tex]A(t) = A(0)e^{-0.1392t}[/tex]
Find the substance's half life, in days.
This is t for which [tex]A(t) = 0.5A(0)[/tex]. So
[tex]A(t) = A(0)e^{-0.1392t}[/tex]
[tex]0.5A(0) = A(0)e^{-0.1392t}[/tex]
[tex]e^{-0.1392t} = 0.5[/tex]
[tex]\ln{e^{-0.1392t}} = \ln{0.5}[/tex]
[tex]-0.1392t = \ln{0.5}[/tex]
[tex]t = -\frac{\ln{0.5}}{0.1392}[/tex]
[tex]t = 4.98[/tex]
The substance half-life is of 4.98 days.
Mr. Falk is going to replace the carpet in his basement. The basement is
rectangular with a length of 27 feet and a width of 18 feet. If the cost of the
carpet is $32 per square yard, what will be the total cost?*
==========================================================
Explanation:
1 yard = 3 feet
We'll divide by 3 to convert from feet to yards
27 feet = 27/3 = 9 yards18 feet = 18/3 = 6 yardsThe basement is 9*6 = 54 square yards in floor area.
At $32 per square yard, the total cost to carpet the floor is 32*54 = 1728 dollars.
Matteo is following this recipe to make a cake.
He wants to make five of these cakes.
How much of each ingredient does he need?
Recipe: Makes 1 cake
3 ounces butter
4 ounces sugar
5 ounces of flour
2 eggs
1 teaspoon (tsp) baking powder
please help!!!!!! this is due soon
A car dealership offers two types of discounts.
Discount 1: Take 5% off the original price of a car built last year, and then receive a $3,500 rebate.
Discount 2: Take 10% off the original price of a car built this year, and then rece ve a $1,250 rebate.
A customer is deciding between two cars. Car R was bure ast year and has an original price of $25,340. Car 5 was built this vear and has an original price of 522.960. .
Based on this information, which statement is true?
F The customer would pay $19,524 for cars S.
G The customer would pay $24.078 For Cars R.
H The customer would pay $21,824 For Cars S.
J The customer wou d pay $23.10 O Car R.
Question:
Based on the same question options as found an online resource, we have;
Statement
G. The customer would pay $24,073 for car R
Answer:
The true statement
G. The customer would pay $24,073 for car R
Step-by-step explanation:
Discounts are deductions from the original price of a commodity or service
A rebate is a partial refund after payment is made
The discount offered by the car dealership are;
Discount 1;
5% reduction off a car built last year's original price, + $3,500 rebate
Discount 2;
10% reduction off a car built this year's original price + $1,250 rebate
The year car R was built = Last year
The original price for car R = $25,340
Let 'A' represent the amount the customer would pay, let, 'p' represent the price of the car, let 'd' represent the discount offered, and let 'r' represent the rebate
Given that the payment is made before the rebate, we have;
The amount the customer will pay, A = p - (p×d)
Therefore;
The amount the customer would pay for car R = $25,340 - (0.05 × $25,340) = $24,073
The amount the customer would pay for car S = $22,960 - (0.1 × $22,960) = $20,644
Therefore, the true statement, is the customer would pay $24,073
Answer:
$24,073
Step-by-step explanation:
What is the Quadratic Formula for y = x2 + 4x – 5
Answer:
i believe it is already written in the quadratic formula. there's nothing to change
Step-by-step explanation:
Which explains how the table can be used to predict the cost of any number of students attending the game?
A.The table is a partial representation of a larger data set. It can be used to generate a graph that is a complete representation of the data set.
B. The table is a partial representation of a larger data set. It can be used to generate an equation that is a complete representation of the data set.
C. The table is a complete representation of the data set. To determine the cost of any number of students, find the number of students in the x-column.
D.The table is a complete representation of the data set. To determine the cost of any number of students, find the number of students in the y-column.
Answer:
The answer is B
Step-by-step explanation:
The table is a partial representation of a larger data set. It can be used to generate an equation that is a complete representation of the data set.
(7.5)What is the value of x?
X
オー2
x + 5
x + ]
A
7.5
B.
10
C
2.5
D
5
Answer:
D 5
Step-by-step explanation:
the same scaling factor s applies to all sides when transforming from the small to the large triangle.
x×s = x + 5
(x-2)×s = x +1
=> s = (x+5)/x
=> (x-2)×(x+5)/x = x + 1
=> x² + 3x - 10 = x² + x
=> 3x - 10 = x
=> 2x = 10
=> x = 5
NEED ASAP URGENT
Which similarity statement expresses the relationship between the two triangles?
triagleZYX- triangleCAB
triangleZYX-triangleACB
triangleZYX-triangleCBA
triangleZYX - triangleABC
Given:
The figure of two triangles.
To find:
The similarity statement for the given triangles.
Solution:
The corresponding sides of similar triangles are proportional.
In the given triangles,
[tex]\dfrac{XY}{AB}=\dfrac{6}{12}[/tex]
[tex]\dfrac{XY}{AB}=0.5[/tex]
Similarly,
[tex]\dfrac{YZ}{BC}=\dfrac{3}{6}[/tex]
[tex]\dfrac{YZ}{BC}=0.5[/tex]
And,
[tex]\dfrac{XZ}{AC}=\dfrac{7}{14}[/tex]
[tex]\dfrac{XZ}{AC}=0.5[/tex]
Since [tex]\dfrac{XY}{AB}=\dfrac{YZ}{BC}=\dfrac{XZ}{AC}[/tex], therefore
[tex]\Delta XYZ\sim \Delta ABC[/tex]
It can be written as:
[tex]\Delta ZYX\sim \Delta CBA[/tex]
Therefore, the correct option is A.
As the founder of the book club, you won't hold any office yourself, but there are 36 other members who are eligible for the different posts. After contacting each member, you find that 32 of them want to be the club's president. You decide to apply the first counting rule to choose the president.Question 3 What is the probability that each candidate has of being the club's president?
Answer:
2.3%
Step-by-step explanation:
Answer:
STRIGHT FROM THE SITE
Step-by-step explanation:
A cylinder has a height of 8 inches and a radius of 7 inches. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth. Cubic inches
Answer:
No idea, just wanna learn and get points
Answer: [tex]1230.88\ in.^3[/tex]
Step-by-step explanation:
Given
A cylinder has a height [tex]h=8\ in.[/tex]
Radius of the cylinder is [tex]r=7\ in.[/tex]
Volume of the cylinder is given by [tex]V=\pi r^2 h[/tex]
Insert the values
[tex]\Rightarrow V=\pi \times 7^2\times 8\\\Rightarrow V=3.14\times 49\times 8\\\Rightarrow V=1230.88\ in.^3[/tex]
Thus, the volume of the cylinder is [tex]1230.88\ in.^3[/tex]
A sheet of cardboard 12 inches square is used to make an open box by cutting out squares of equal size from the four corners and bending up the sides. What size should the squares be to obtain a box with the largest possible volume
Answer:
[tex]x=6+3\sqrt{2}[/tex] is the size of the square
Step-by-step explanation:
Let the side of the square cut from the cardboard be “x”
Size of the square base = [tex]12 -2x[/tex], height of the box = x
Volume of square box = Area * height = [tex](12-2x)^2 * x[/tex]
Differentiating the above equation and equating it to zero, we get –
d/dx [tex]((12-2x)^2 * x)[/tex]
d/dx[tex]{(144 + 4x^2 -48x)*x}[/tex]= d/dx [tex](144x + 4x^3 -48x^2)[/tex]
d/dx [tex](144x + 4x^3 -48x^2) = 0[/tex]
[tex]144+8x^2-96X= 0\\18 +X^2-12X = 0[/tex]
On solving above equation, we get –
[tex]x=6+3\sqrt{2} \\ x=6-3\sqrt{2}[/tex]
Evaluate the expression when x = 4 and y = 5.
3x2 + 4yº.x-1
Answer:
49
Step-by-step explanation:
Plug in 4 for x and 5 for y
[tex]3x^{2}+4y^{0}*4^{-1} \\3*4^{2} +4*5^{0}*4^{-1} \\3*16+4*5^{0}*4^{-1} \\[/tex]
4 – (3 – 5) =
Possible Answers:
A. -4
B. -2
C. 6
D. 12
Answer:
6
Step-by-step explanation:
4 – (3 – 5) =
PEMDAS says parentheses first
4 – (-2) =
Subtracting a negative is like adding
4 +2
6
Answer:
2-
Step-by-step explanation:
.....................................................................
15. Find the product of (5x – 3) and (x3 – 5x + 2).
a) 5x4 – 3x3 + 25x2 – 5x – 6
b) 5x3 – 28x2 + 25x – 6
c) 5x4 – 3x3 – 25x2 + 25x – 6
d) 5x3 + 22x2 – 5x – 6
Answer:
B. 5x^4 - 28x^2 + 25x - 6
Step-by-step explanation:
the steps r in the pic above
A calculator costs $85 at staples if the calculator is 20% off how much do you pay?
Answer:
$ 17 off
Step-by-step explanation:
20% is one fifth of the price
So divide 85 by 5 you get 17
Since you only get one 1/5 of the price off you save $17
Just to check and make sure you can do 17 * 5 = 85
I’ll mark you Brainliest!!! Please helppp!!!! Don’t answer with “you can download the answers here” and then the link, that doesn’t work! You just want the points
The value of an investment after t years is given by the function, A (t) = 500 (1 + 0.07t).
Complete the following statement. The initial value of the investment is_____,and the annual simple interest rate is____percent.
For the first blank
A. $500
B. $700
For the second blank
A.50
B.70
C.7
D.0.5
E.0.07
Answer:
A. $500
C. 7 percent
Step-by-step explanation:
Your problem follows the format of the Simple Interest Formula.
The formula is described as follows: A = P(1 + r*t)
Where P = initial value
r = interest rate as a decimal
t = amount of time.
In your equation of A = 500 ( 1 + 0.07 t )
we can see that 500 represents the P value which is the initial value of the investment.
We can also see that the rate is 0.07. Then converted from a decimal to a percent would be 7 percent.
Awnser this please and thank you if u don’t not give me bad awnsers I will give u a brainliest
Answer:
slope = 20
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (10, 200) ← 2 points on the line
m = [tex]\frac{200-0}{10-0}[/tex] = [tex]\frac{200}{10}[/tex] = 20
Someone please help me out!!
Answer:
D 3/4
Step-by-step explanation:
imagine a circle with its center in point A and going through point C.
the radius of that circle is 50 (AC).
remember, tan of an angle is sin/cos of that angle.
now rotate in our imagination that triangle to the right around point A, so that the side AB becomes the bottom base line.
now you see that 30 = sin(A)×radius = sin(A)×50
and 40 = cos(A)×radius = cos(A)×50
so, tan(A) = (sin(A)×50)/(cos(A)×50) = sin(A)/cos(A) = 30/40
= 3/4
Evaluate 3(x + y) for x = 2 and y = 7 show work.
Answer:
[see below]
Step-by-step explanation:
[tex]3(x+y)\\\\3(2+7)\\\\3(9)\\\\\boxed{27}[/tex]
Hope this helps!
Answer:
27
Step-by-step explanation:
plug in what = x and y in the parenthisis
so that would be 3(2+7)
you do what is in the parentheisis first 2+7= 9
then you multiply 3*9= 27
Pls tell me the answer I don’t know it I need help
Answer:
(5,2)
Step-by-step explanation:
The first coordinate is the x coordinate or the distance left or right from the origin. To get to L we go 5 units to the right or +5.
The second coordinate is the y coordinate or the distance up or down, We go 2 units up or +2
(5,2)
Answer:
the answer is
x-axis=+5
y-axis=+2
therefore the answer here is (5,2)
Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 4% each year. One year after it was purchased , the value of the savings bond was $156. Find the value of the bond when Tyler's mom purchased it. Explain your reasoning.
Answer:
Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 4% each year. One year after it was purchased, the value of the savings bond was $156.
Find the value of the bond when Tyler's mom purchased it. Explain your reasoning.
Step-by-step explanation:
SOMEONE PLEASE HELP!! EXPLANAITION = BRAINLIEST + FIVE STARS!! THANK YOU SO MUCH
A cone with volume 448 m³ is dilated by a scale factor of 1/4.
The volume of the resulting cone is ___ cubic meters.
120 people were asked the colour of their car and the pictogram shows the results. 32 cars are red. how many cars are white?
Answer:
120-32=88
Where is the pictogram?