Answers
9514 1404 393
Answer:
60 square units
Step-by-step explanation:
The area is given by the formula ...
A = bh
The base of this parallelogram is 15 units, and its height is 4 units. The area is ...
A = (15 u)(4 u) = 60 u²
The area is 60 square units.
Related Questions
1:prove that the tangent at the point (1,-2) to the circle x²+y²=5 also touches the circle x²+y²-8x+6y+20=0 .Also find the point of contact.
2:find the length of tangent to the circle
3x²+3y²-7x-6y=12 drawn from (6,-7)
Answers
Circle 1 has center at (0, 0)
The tangent passes through the center and point (1, -2).
Equation of tangent at (1, -2):
x*1 + y*(-2) = 5x - 2y = 5x = 2y + 5If the same line is tangent to circle 2 then they have one common point.
Solve the system:
x = 2y + 5x² + y² - 8x + 6y + 20 = 0Substitute x:
(2y + 5)² + y² - 8(2y + 5) + 6y + 20 = 04y² + 20y + 25 - 16y - 40 + 6y + 20 = 05y² + 10y + 5 = 0y² + 2y + 1 = 0(y + 1)² = 0y + 1 = 0y = -1 ⇒ x = 2(-1) + 5 = -2 + 5 = 3We see only one point of contact, (3, -1), this proves the line is tangent to circle 2 as well.
#2Given circle:
3x² + 3y² - 7x - 6y = 12 and external point (6, -7).Rewrite the equation of the circle as:
3x² + 3y² - 7x - 6y = 12x² + y² - 7/3x - 2y = 4x² - 2*7/6x + 49/36 + y² - 2y + 1 = 4 + 49/36 + 1(x - 7/6)² + (y - 1)² = 229/36The center is (7/6, 1) the radius is √229/36
The length of the tangent t is the leg of the right triangle with another leg r being the radius and the hypotenuse d being the distance between the center and the external point:
t² = d² - r²t² = (6 - 7/6)² + (-7 - 1)² - 229/36t² = 36 - 14 + 49/36 + 64 - 229/36t² = 86 - 180/36t² = 81t = 910
El tiempo aproximado en caminar de tu casa (C) a la de tu amigo (A) pasando por la tienda (T)
es de 14 minutos; Si caminas a la misma velocidad, ¿Cuántos minutos te tomará caminar
directamente a la casa (C) de tu amigo (A)? Redondea al entero más cercano.
500yd
A
700yd
Answers
Respuesta:
10.0 minutos
Explicación paso a paso:
Distancia total recorrida caminando de C a A pasando por T:
500 yardas + 700 yardas = 1200 yardas
Tiempo necesario para recorrer 200 yardas = 14 minutos
Caminando directamente de C a A:
La distancia se puede obtener usando una relación trigonométrica:
Hipotenusa = √ (opuesto² + adyacente²)
Hipotenusa = √500² + 700²
Hipoteno = 860.23252 yardas
Por eso ; Si
1200 yardas = 14 minutos
860.23252 yardas = x
Multiplicar en cruz:
1200x = 12043,255
x = 12043,255 / 1200
x = 10.036 minutos
El tiempo necesario para caminar directamente será: 10.0 minutos
The average height of BYU freshman from a random sample of 450 freshman at BYU is 68 inches with a standard deviation of 1.5 inches. What is the 98% confidence interval for the average height of BYU freshman?
a. (59.86, 60.14)
b. (67.83, 68.17)
c. (66.5. 69.5)
d. (67.86, 68.14)
Answers
Answer:
b. (67.83, 68.17)
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 - 0.98}{2} = 0.01[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.
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 = 2.327\frac{1.5}{\sqrt{450}} = 0.17[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 68 - 0.17 = 67.83.
The upper end of the interval is the sample mean added to M. So it is 68 + 0.17 = 68.17.
This means that the correct answer is given by option B.
Evaluate given function. Pleas helpp
Answers
Answer:
[tex]f(9) =-80[/tex]
Step-by-step explanation:
Given
The attached functions
Required
Find f(9)
We have:
[tex]f(x) =-x^2 - 2x + 19[/tex]
So:
[tex]f(9) =-9^2 - 2*9 + 19[/tex]
[tex]f(9) =-81 - 18 + 19[/tex]
[tex]f(9) =-80[/tex]
Complete the solution of the equation. Find the
value of y when x equals 17.
-x + y = -27
Answers
Answer:
y= -10
Step-by-step explanation:
Answer:
-10
Step-by-step explanation:
-17+y=-27
y=-27+17
y=-10
Which of the question below could be the equation of this parabola ?
A) x=-4x^2
B) y=4x^2
C) x=4y^2
D) y=-4x^2
Answers
Please help me I am stressed out
Answers
3 divided by 10 = 0.3
Answer:
a) 0.3 liters
b) 3 ÷ 10 = 0.3 liters
Step-by-step explanation:
3 ÷ 10
3 × 1/10
0.3
NEED HELP FAST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
A.) y = 0.4x^(2) + 3.4x + 4
Step-by-step explanation:
x = -5
y = -3
2
Draw all the lines of symmetry on a diagram of a regular:
a
hexagon
b
heptagon
с
Octagon
Answers
Answer:
hi ahmm.i want to say that it is to draw I thought it is a question but it is actually to draw so u should draw this all shapes
If f(x) = 2x² - 4x and g(x) = 5 - 2x, evaluate fx) - g(x) for x = 5.
A 15
B 5
C 35
D. 20
ET
Answers
Answer:
35
Step-by-step explanation:
2x² - 4x- (5 - 2x)
2x² - 4x - 5 + 2x
2x²-2x - 5 = f(x) - g(x)
Now use 5
[tex]2 ({5}^{2} ) - 2(5) - 5 \\ = 35[/tex]
The following tables each show the amount of money, in dollars, in four different bank accounts over time.
Which table best represents an exponential relationship?
A.
Years 1 2 3 4 5
Account Balance 1100.00 1350.00 1600.00 1850.00 2100.00
B.
Years 1 2 3 4 5
Account Balance 1100.00 1210.25 1320.50 1430.75 1541.00
C.
Years 1 2 3 4 5
Account Balance 1100.00 1190.00 1340.00 1550.00 1820.00
D.
Years 1 2 3 4 5
Account Balance 1100.00 1210.00 1331.00 1464.10 1610.51
Answers
Answer:
C
Step-by-step explanation:
it is not my percentage, it is not constant, it is increasing over time
For brainlest pls ..
Answers
Answer:
A = 39 ft²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 6, b₁ = 9, b₂ = 4 , then
A = [tex]\frac{1}{2}[/tex] × 6 × (9 + 4) = 3 × 13 = 39 ft²
Given that P(x) = 2W/W+1 + W-4/2W-3 , evaluate p(0)
Answers
Answer:
5
Step-by-step explanation:
jnjknmnj
What is 5x + 7 > 37 I am really stuck
Answers
Answer:
x > 6
Step-by-step explanation:
Problem: 5x + 7 > 37
Subtract 7 from both sides: 5x > 30
Divide both sides by 5: x > 6
Answer: x > 6
35_56×34
help pls
I need it
Answers
Answer:
_1869
Step-by-step explanation:
step by step
35-56 × 34
Multiply 56 and 34 to get 1904.
Subtract 1904 from 35 to get -1869.
= -1869
I
Answer:
1904 IS THE ANSWER YOU CAN CHECK THIS EQUATION IN YOUR MOBILE'S CALCATOR
Which of the following statements is true?
A: The product of two rational numbers is irrational.
B: The sum of two rational numbers is rational.
C: The product of a non-zero rational number and an irrational number is rational.
D: The sum of a rational number and an irrational number is rational.
Answers
How do i do this math equasion?
Answers
Answer:
f(t) = -16t² + 36
Step-by-step explanation:
f(t) = a(t - h)² + k
This is vertex form where (h, k) is the (x, y) coordinate of the vertex
The vertex is give as (0, 36)
f(t) = a(t - 0)^2 + 36
f(t) =at² + 36
use point (1, 20) to find "a"
20 = a(1²) + 36
20 = a + 36
-16 = a
f(t) = -16t² + 36
The man brought three buses for 9694820. One bus cost Rs352750
another us cost Rs 3029870. Find the cost of third bus.
Answers
Answer:
Cost of 3 buses = 9694820
cost of 1 bus=352750
cost of another bus=3029870
cost of the third bus= 9694820-(352750+3029870)=6312200
Which line is perpendicular to a line that has a slope of 1 half
Answers
Answer:
-2
Step-by-step explanation:
1/2 slope
flip fraction 2/1
change sign -2/1 or -2
What is the base of the expression (Eleven to the power of 12)? 3 11 12 21
Answers
Answer: 11
Step-by-step explanation:
when the question asks you what is the BASE of the EXPRESSION it means that the base is always the BIGGER number which is 11 and the power which is ALWAYS ON THE TOP RIGHT which is 12
hope that helps
Now suppose that bigger cups are ordered and the machine’s mean amount dispensed is set at μ=12. Assuming we can precisely adjust σ, what should we set σtobe so that the actual amount dispensed is between 11 and 13 ounces, 95% of the time?
Answers
Answer:
σ should be adjusted at 0.5.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean 12.
Assuming we can precisely adjust σ, what should we set σtobe so that the actual amount dispensed is between 11 and 13 ounces, 95% of the time?
13 should be 2 standard deviations above the mean of 12, and 11 should be two standard deviations below the mean.
So 1 should be worth two standard deviations. Then
[tex]2\sigma = 1[/tex]
[tex]\sigma = \frac{1}{2}[/tex]
[tex]\sigma = 0.5[/tex]
σ should be adjusted at 0.5.
Explain the rule that governs the pronunciation of the word stick
Answers
Answer:
Es una triste noticia que se involucre a las lenguas en peleas políticas coyunturales, sobre todo cuando el debate deriva hacia una estrategia de crispación que exige el falseamiento de la realidad, las ofensas y las manipulaciones. Las lenguas maternas forman parte de la identidad, de la raíz más profunda de sus hablantes, y ofenderlas o someterlas a coyunturas crea heridas íntimas. Confieso que siento una inmediata antipatía ante cualquier persona, política o no, que desprecia la manera que tenemos los andaluces de pronunciar el español. Es la manera en la que yo aprendí a relacionarme con la vida.
Step-by-step explanation:
Determine where the function is increasing, decreasing, and constant.
Answers
Answer:
X y better because it has X and Y is no no
pls tell ineed now fast plss
Answers
Answer:
g = 12
Step-by-step explanation:
g + 7 - 4 = 15
g = 15 - 3 = 12
We move all terms to the left:
g-(7-4)=0
We add all the numbers together, and all the variables
g-3=0
We move all terms containing g to the left, all other terms to the right
g=3
What is an equation of the line that passes through the points (-2, 3) and (6, -1)?
Answers
Answer:
y = (-1/2)×X + 2
Step-by-step explanation:
the steps are in the pic above.
You decide to work out your weekly pay by using the following formula:
p = 5hr
p is weekly pay
h is hours worked
r is rate of pay per hour
This week you worked 8 hours a day, for 5 days, at an hourly rate $6.88.
How much did you earn? $
Answers
Answer:
p = 5(8)(6.88)
p = $275.20
What is the slope of the line that passes through (a,b) and (1/a,b)?
Answers
Answer:
slope = 0
Step-by-step explanation:
Since the y- coordinates of both points are equal, both b
This indicates the line is horizontal and parallel to the x- axis
The slope of the x- axis is zero then the slope of the line is zero
Answer:
slope of the line is 0
Step-by-step explanation:
(a , b)=(x1 , y1)
(1/a , b)=(x2 , y2)
slope=y2 -y1/x2 -x1
=b-b/ 1/a -a
=0/1-[tex]a^{2}[/tex]/a
=0*a/1-[tex]a^{2}[/tex]
=0/1-[tex]a^{2}[/tex]
=0
The height of a triangle is 2 m more than twice the length of the base. The area of the triangle is 30 m2. Find the height of the
triangle.
Answers
Answer:
Step-by-step explanation:
Let x be the height ..... then the base = 2x + 2
So we have
Area = (1/2) (base) (height)
20 = (1/2)(2x + 2)(x) simplify
20 = x (x + 1)
20 = x^2 + x subtract 20 from both sides
x^2 + x - 20 = 0 factor
(x + 5) ( x - 4) = 0
Only the second factor makes sense
x - 4 = 0 add 4 to both sides
x = 4 ft and this is the height
And the base = 2(4) + 2 = 10 ft
One of the solutions to x2 − 2x − 15 = 0 is x = −3. What is the other solution?
x = −5
x = −1
x = 1
x = 5
Answers
Answer: x = 5
Step-by-step explanation:
x² - 2x - 15 = 0
x² + 3x - 5x - 15 = 0
x(x + 3) - 5(x + 3) = 0
Therefore, x + 3 = 0
x = 0 - 3 = -3
Also, x - 5 = 0
x = 0 + 5 = 5
Therefore, the solutions to x² - 2x - 15 = 0 is x = -3 and x = 5. Therefore, the correct option is D.
What is the total surface area of a cylinder with a radius of 9ft and a height of 13ft?
Answers
Answer:
753.6 ft^2
Step-by-step explanation:
given:
radius=9 ft
height=13 ft
total surface area of cylinder=2πrh+2πr2
=2*3.14*9*13 + 2*3.14*(9)^2
=244.92 + 2*3.14*81
=244.92 + 508.68
=753.6 ft^2
Answer:
753.6 ft|2
Step-by-step explanation:
thanks correct me if you want.