Answer:
El perímetro es de 1.2 cm
Step-by-step explanation:
La formula del perímetro de un triángulo rectángulo es:
p = cateto1 + cateto2 + hipotenusa
Para determinar el valor de la hipotenusa usamos el Teorema de Pitágoras:
hipotenusa² = cateto1² + cateto2²
hipotenusa² = 0.4² + 0.3²
hipotenusa² = 0.16 + 0.09
hipotenusa² = 0.25
√hipotenusa² = √0.25
hipotenusa = 0.5
entonces, el perímetro es:
p = 0.4 + 0.3 + 0.5
p = 1.2cm
por tanto
Micaela tiene razón, el perímetro es de:
1.2 cm
Solve for f.
Round your answer to 2 decimals.
9f = {(12f – 2)
Answer:
f=0.67
Step-by-step explanation:
Let's solve your equation step-by-step by isolating f.
9f=12f−2
Step 1: Subtract 12f from both sides.
9f−12f=12f−2−12f
You get:
−3f=−2
Step 2: Divide both sides by -3.
−3f/−3 = −2/−3
You get:
f= 2/3, or f= 0.67
Hope this helps! :)
A golf ball is hit with a club from the ground on a flat surface. The height of the ball, h(t), in feet, t seconds after it was hit can be modeled by the function h(t)=40t-16t^2.
Move the number to the blanks to describe the path of the ball.
When the ball is hit at 0 seconds, it has a height of _____ feet. The ball's height increases until it reaches its maximum height of _____ feet after ____ seconds. The ball's height then decreases until it reaches the ground _____ seconds after it was hit.
Fill in the blanks with these numbers: 0, 0.4, 1.25, 2, 2.5, 4, 16, 25, 40
Answer:
The correct numbers are;
1) 0
2) 25
3) 1.25
4) 2.5
When the ball is hit at 0 seconds, it has a height of 0 feet. The ball's height increases until it reaches its maximum height of 25 feet after 1.25 seconds. The ball's height then decreases until it reaches the ground 2.5 seconds after it was hit
Step-by-step explanation:
The given equation for the height of the ball, h(t), in feet, is given as follows
h(t) = 40·t - 16·t²
Therefore;
1) When the ball is hit at 0 seconds, it has a height of h(0) = 40×0 - 16×0² = 0 feet
2) The time to reach maximum height by the ball is found by taking the derivative (slope) of the function for the height of the ball and noting that at maximum height, the derivative (slope) = 0
Therefore;
h'(t) = 40 - 2 × 16·t = 0
40 - 32·t = 0
t = 40/32 = 5/4 seconds = 1.25 seconds
3) The maximum height is then found from the value of the function at t = 5/4 seconds as follows;
h(5/4) = 40×5/4 - 16×(5/4)² = 50 - 25 = 25 feet
4) The time in which the ball reaches the ground where h(t) = 0 is given from the formula for the height of the gulf ball as follows;
h(t) = 0 = 40·t - 16·t²
40·t - 16·t² = 0
(40 - 16·t)·t = 0
Therefore;
t = 0 seconds or t = 40/16 = 2.5 seconds
(40 - 16·t) = 0/t = 0
t = 40/16 = 2.5 seconds
Therefore, the filling the blanks with the correct numbers gives;
When the ball is hit at 0 seconds, it has a height of 0 feet. The ball's height increases until it reaches its maximum height of 25 feet after 1.25 seconds. The ball's height then decreases until it reaches the ground 2.5 seconds after it was hit
At a certain company, the monthly salary of project managers can be modeled by the function f(x) = x4 – 10x 2 + 10,000, where x is the number of years of employment. After how many years would a project manager be eligible for a $20,000 monthly salary? after working for exactly 10 years after working for at least 10 1/4 years after working for exactly 12 years after working for at least 12 1/4 years
Answer:
after working for at least 10 1/4 years
Step-by-step explanation:
After working for at least 10 1/4 years a project manager would be eligible for a $20,000 monthly salary.
What is the formula to solve quadratic equation?A quadratic equation, [tex]ax^{2} +bx+c=0[/tex] is solved by
[tex]x=\frac{-b \pm \sqrt{b^2-4ac} }{2}[/tex]
Given function [tex]f(x)=x^4-10x^2+10000[/tex]
Function that has monthly salary $20,000 will be [tex]x^4-10x^2+10000=20000[/tex]
[tex]x^4-10x^2+10000-20000=0[/tex]
[tex]x^4-10x^2-10000=0[/tex]
Now using the formula [tex]x=\frac{-b \pm \sqrt{b^2-4ac} }{2}[/tex]
[tex]x^2=\frac{10 \pm \sqrt{10^2+40000} }{2}[/tex]
[tex]x^2=\frac{10 \pm \sqrt{40100} }{2}[/tex]
[tex]x^2=\frac{10 \pm 200.2}{2}[/tex]
[tex]x^2=5 \pm 100.1[/tex]
[tex]x^2=105.1[/tex]
[tex]x=\sqrt{105.1}[/tex]
[tex]x=10.25[/tex]
Hence, after working for at least 10 1/4 years a project manager would be eligible for a $20,000 monthly salary.
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Solve for x -4x + 3x = 2
Answer:
No Solution
Step-by-step explanation:
x-4x+3x=2
0x=2
0=2 or x=2/0
Either way, no solution
If Ray BX bisects ABC and mABX = 5x- 3&mCBX = 2x + 15, find mABC.
Answer:
8
kjjk
Step-by-step explanation:
jjj
Identify ALL of the constants & coefficients of the following equation:
1/2b-16= -4
Answer:
1/2b=-4+16
1/2b= 12
b=12×2
b=24
Answer:
constants = -16 and -4
coefficients are 1/2
Step-by-step explanation:
a constant is a number not attached to a variable. a coefficient is a number attached to a variable
Please help!
No wrong/spam answers!
Answer:
c) 25
Step-by-step explanation:
[tex] \because \: l \parallel m \\ \therefore \: 3x \degree = (2x + 25) \degree ..(alternate \: \angle 's)\\ 3x = 2x + 25 \\ 3x - 2x = 25 \\ \huge \orange{ \boxed{x = 25}}[/tex]
Answer:
Spam answer
Step-by-step explanation:
c) 25
how do I isolate V1 in this equation
[tex]\frac{P_{1}V_{1} }{T_{1} } = \frac{P_{2}V_{2} }{T_{2} }[/tex]
Let's start off by multiplying each side by [tex]T_{1}[/tex]
[tex]P_{1}V_{1} } = \frac{P_{2}V_{2} T_{1} }{T_{2} }[/tex]
Divide each side by [tex]P_{1}[/tex]
[tex]V_{1} = \frac{P_{2}V_{2} T_{1} }{T_{2}P_{1} }[/tex]
ASAP HELPPP !!!!Which of the following statements best describes a linear pair? A linear pair consists of complementary angles. A linear pair consists of supplementary angles. A linear pair consists of nonadjacent angles. A linear pair consists of vertical angles.
Answer:
A linear pair consists of supplementary angles
Step-by-step explanation:
Because a linear pair is 2 lines that form an 180 degree angle.
The statement that best describes a linear pair is that A linear pair consists of supplementary angles. The correct option is B.
What is Supplementary Angle?When the sum of two angles measures up to 180° then these angles are known as supplementary angles of each other.
for example, ∠x + ∠y = 180°, therefore, the ∠x and ∠y are the supplementary angles of each other.
If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two angles are two pairs of linear angles. That means, that if linear angles are aligned adjacent to each other, their exterior sides will make a straight line.
Further, since the angle at any side of a line is 180°. Therefore, the sum of these two angles will be equal to 180°.
Hence, the statement that best describes a linear pair is that A linear pair consists of supplementary angles.
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a speck of dust is 1.2 x 10^-6m wide. Which of the following is the best way to rewrite this quantity, using more appropriate units? I will Make you brainiest to the first one who answers it. A. 1.2 x 10^-4 b.1.2 x 10^-6 c.1.2 x 10^-3 d 1.2 x 10^-9
Answer:C 1.2x 10^-6
Step-by-step explanation:
Write using exponents. Work from left to right on the grid. 6 • 6 • 6
6 * 6 *6 = 6^3.
Answer:
216
Step-by-step explanation:
Given the question :
6 × 6 × 6
This depicts the product of a certain number in three places
6 × 6 × 6 = 6³
6 * 6 = 36
36 * 6 = 216
Hence, 6³ = 216
The perimeter of a rectangle is 50 inches.if the width of the rectangle is 5 inches smaller then twice the length,find the AREA of the rectangle in square inches
So um what’s the answer to this. -7(2+k)=7
Answer:
k = -3
Step-by-step explanation:
-7(2 + k) = 7
Divide both sides by (-7)
2 + k = 7/-7
2 + k = -1
Subtract 2 form both sides
k = -1 - 2
k = -3
Answer:
k = -3
Step-by-step explanation:
[tex]-7(2+k)=7\\\\-14-7k=7\\\\-14+14-7k=7+14\\\\-7k=21\\\\\frac{-7k=21}{7}\\\\\boxed{k=-3}[/tex]
Hope this helps.
What is the sum of the measures of the interior angles of an octagon? Enter your answer in the box.
The sum of interior angles of an octagon will be 1080°.
We have a Octagon.
We have to find the sum of the measures of the interior angles of a pentagon.
What is Octagon ?In geometry, a Octagon is a eight - sided polygon.
According to the question, we have - A Octagon.
The formula for finding sum of the measures of the interior angles of a polygon is = ( n - 2) x 180°. The number of triangles in each polygon is two less than the number of sides.
The formula for calculating the sum of interior angles is:
For a Octagon - n = 8.
Therefore - the sum of interior angles of an octagon will be -
(8 - 2) x 180
180 x 6
1080°
Hence, the sum of interior angles of an octagon will be 1080°.
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Find the area of a rectangle with base 4 ft and helght 4 in.
Answer:
16in ^2
Step-by-step explanation:
4*4
Answer:
Area of rectangle is 16
Step-by-step explanation:
Area of rectangle = base, 4, times the height, 4
Area of rectangle = 4 times 4
Area of rectangle = 16
w (x) = 2x-4; Find w(0)
Answer:
w(0) = -4
Step-by-step explanation:
Put 0 where x is and do the arithmetic.
w(0) = 2·0 -4
w(0) = -4 . . . . . . . simplified
9in, BC = 5x , and AD = 53 in
Answer:
none of them are correct
Step-by-step explanation:
y is inversely proportional to the cube of x. It is given that for a certain value of x, the value of y is 7. Find the new value of y when x is doubled.
Inversely proportional means as one variable increases the other variable decreases.
In this problem, x is doubled which means it's increased, therefore, y is decreased.
7 / 2 = 3.5
The new value of y is 3.5
3. Multiply
(5 points)
O
33
-6
40
O
mo
O
Answer: -7920
Step-by-step explanation: 33x-6x40= -7920
Help needed ASAP will give BRAINLIEST
Write the polynomial in standard form. Identify the degree and leading coefficient of the polynomial.
Then classify the polynomial by the number of terms.
4w11 - w12
standard form
degree
leading coefficient
Answer:
Standard Form:-w^12+4w^11
Degree: 12 degree
Leading Coefficient: -1
Step-by-step explanation:
Standard Form: Order the exponents from greatest to least.
Degree: The largest exponent is the degree; the exponent in the first term, IF it is in standard form.
Leading Coefficient: The coefficient of the first term in standard form. There is and understood 1 before the w in the first term.
The required answers are given below,
Standard Form:-w¹²+4w¹¹
Degree: 12 degree
Leading Coefficient: -1
What are polynomials?A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
Standard Form: Order the exponents from greatest to least. The largest exponent is the degree; the exponent in the first term, IF it is in standard form.
Leading Coefficient: The coefficient of the first term in standard form. There is an understood 1 before the w in the first term.
The answers are given as below,
Standard Form:-w¹²+4w¹¹
Degree: 12 degree
Leading Coefficient: -1
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a.no
b.yes
the question is in the picture
B. yes, it's a function
How do you work out the gradient of a line?
Step-by-step explanation:
The gradient of the line = (change in y-coordinate)/(change in x-coordinate) . We can, of course, use this to find the equation of the line. Since the line crosses the y-axis when y = 3, the equation of this graph is y = ½x + 3 . To find the gradient of a curve, you must draw an accurate sketch of the curve.
solve for y. 3[y-13]=12
Answer:
y = 17
Step-by-step explanation:
3(y-13)=13
3y-39=12
3y=51
y=17
Answer:
y = 17
Step-by-step explanation:
3[y-13] = 12
3*y + 3*-13 = 12
3y - 39 = 12
3y = 12 + 39
3y = 51
y = 51/3
y = 17
Check:
3[17-13] = 12
3*4 = 12
A garden table and a bench cost $755 combined. The garden table costs $95 less than the bench. What is the cost of the bench?
Answer:
The bench costs $425
Step-by-step explanation:
First lets define our variables:
t = garden table
b = bench
Next, we have to use the information to create two formulas. One formula is for the cost of a garden table and a bench. The second is for the cost of the garden table.
t + b = 755
t = b - 95
For the next step, we can solve for be by using the second formula we created and replacing (t) in the first formula:
b - 95 + b = 755
2b - 95 = 755
2b = 850
bench = 425
To find out how much the cost of the cost of the table is, you can plug in the cost of the bench (b) back into the second equation:
t = b - 95
t = 425 - 95
table = 330
I hope this helps!
-TheBusinessMan
Evaluate each expression.
6! =
3! - 2! =
6!/3!=
Answer:
I hope it will help you :)
Answer:
6! = 720
3! - 2! = 12
6!/3!= 120
Step-by-step explanation:
just finished the assignment.
Please help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1. true
2. true
3. false
4. false
5. true
6. false
7. fase
8. true
−2π
Is this rational or irrational
It is irrational.
π is an irrational number.
It follows that -2π is also irrational number.
hello I have a question to ask.
A man's age today is three years less than four times the age of his oldest daughter. Let a represent the daughter's age. Write an expression to represent the man's age.
What is the parent function for y = |x - 41+7?