Find the Surface Area of Rectangular Prism
Answer:
4 X 3 = 12 , 12 X 2 = 24
5 X 4 = 20, 20 X 2 = 40
3 X 5 = 15, 15 X 2 = 30
30 + 40 + 24 = 94 cm squared
An aeroplane takes off and flies steadily for a distance of 5.6 km at an altitude of 2 km from it's runway . Calculate the angle that it makes with the horizontal
Answer:
The angle the aero plane makes with the horizontal is approximately 20.925°
Step-by-step explanation:
The given parameters are;
The distance the aero plane flies = 5.6 km
The elevation to which the aero plane flies = 2 km
The angle the path of the aero plane as it takes off makes with the horizontal, θ, is the angle opposite the altitude of the right triangle formed by the aero plane's path (the hypotenuse), the horizontal, and the line drawn from the final position of the aero plane, representing the altitude (the opposite leg to angle θ)
By the trigonometric ratio for the sin of the angle, θ, we have;
[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{2 \ km}{5.6 \ km} = \dfrac{2}{5.6}[/tex]
Therefore, the angle θ the aero plane makes with the horizontal is given as follows;
[tex]\theta = arcsin \left (\dfrac{2}{5.6} \right ) \approx 20.925 ^{\circ}[/tex]
The angle the aero plane makes with the horizontal ≈ 20.925°.
Y’all know what this is ?
Answer:
65
Step-by-step explanation:
8(5) + 25 = 65
We plugged in 5 for c since we know its value.
Answer:
65
Step-by-step explanation:
8x5=40 25+40=65
I hope this helps, and have a nice day!
BRIDGE Arturo is designing a bridge for science class using parallel supports for the top and bottom beam. Find m angle2 if m angle1=60^
Answer:
Believe it or not, it would be 60 degrees.
Step-by-step explanation:
Here, we are working with ALTERNATE INTERIOR ANGLES. Since we know the beam supports for the top and bottom are parallel, 1&2 will be the same angle measurement.
Here is a diagram of an example of alternate interior angles, where m1=m2.
Answer:
Step-by-step explanation:
If a car travels 400m in 20seconds how fast is it going?
The two angles are
Congruent
Supplementary
Complementary
Because they are
Corresponding
Consecutive interior
Alternate exterior
Alternate interior
Help, I will brainliest u
Answer:
The two angles are alternate interior angles
Step-by-step explanation:
Here, we want to state the relationship between the two given angles
From the diagram, we can observe that these two angles are;
They are alternate interior angles
Hello someone please help me
Answer:
C = {-5,2,5} answer
Step-by-step explanation:
ccccccc
Find the solution set to 3(2x - 4) > 2(x + 4)
Answer:
X>5
Step-by-step explanation:
So first distribut the numbers
6x-12>2x+8
now subtrct 2x on both sides
4x-12>8
Now add 12 on both sides
4x>20
x>5
Answer: > 5
Step-by-step explanation: I just know
Select all the correct answers,
Which relations represent functions?
Answer:
A and C are the correct answer
Step-by-step explanation:
The length of a rectangle is 2 cm more than
3 times its width. Its area is 85 cm?. Find the
dimensions of the rectangle.
Answer:
Width of rectangle = 5 cm
Length of rectangle = 17 cm
Step-by-step explanation:
Let the dimensions of rectangle:
Width of rectangle = x
Length of rectangle = 3x+2
Area of rectangle = 85 cm
We need to find dimensions of rectangle i.e length and width.
The formula used is: [tex]Area\:of\:rectangle=Length\times Width[/tex]
Putting values and finding dimensions
[tex]Area\:of\:rectangle=Length\times Width\\85=3x+2 \times x\\85=3x^2+2x\\The\;equation\:will\:be:\\3x^2+2x-85=0[/tex]
Now, finding value of x using quadratic formula:
[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
We have, a =3, b =2 and c=-85
[tex]x=\frac{-2\pm \sqrt{(2)^2-4(3)(-85)}}{2(3)}\\x=\frac{-2\pm \sqrt{4+1020}}{6}\\x=\frac{-2\pm \sqrt{1024}}{6}\\x=\frac{-2\pm 32}{6}\\x=\frac{-2+ 32}{6}\:or\:x=\frac{-2- 32}{6}\\x=5\:or\:x=-5.6[/tex]
So, we get x = 5 and x = -5.6
But since the width of rectangle cannot be negative so, we would consider x = 5
Now, the dimensions of rectangle will be:
Width of rectangle = x = 5 cm
Length of rectangle = 3x+2 = 3(5) + 2 = 15+2 = 17 cm
Can somebody answer this?
Answer:
c. m
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
It is wise to remember Slope-Intercept Form as it tell us how to graph a linear equation and tells us specific things about the line itself.
Answer:
the slope of the line is m
Step-by-step explanation:
why m?
because as you see in the equation
y=mx+b this means y-b/x = m
as you know slope is ∆y/∆x =m
it is the same as the first one .
The polynomial p(x) = 5x^3 – 9x^2 - 6x + 8 has a known factor of (x + 1).
Rewrite p(x) as a product of linear factors.
Answer:
[tex](x+1)(5x-4)(x-2)[/tex]
Step-by-step explanation:
We know that (x+1) is a factor, so we can use synthetic division to factor it out of [tex]5x^3-9x^2-6x+8[/tex].
Once factored, we get [tex](x+1)(5x^2-14x+8)[/tex]
Now all we need to do is factor[tex](5x^2-14x+8)[/tex]
[tex](5x^2-14x+8)=(5x-4)(x-2)[/tex]
This gives us the answer [tex](x+1)(5x-4)(x-2)[/tex].
p(x) as a product of its linear factors is:
[tex]p(x) = (x+1)(x-2)(5x-4)[/tex]
The given polynomial is:
[tex]p(x) = 5x^3-9x^2-6x+8[/tex]
The divisor = x + 1
The division expression can be written as:
[tex]\frac{5x^3 - 9x^2 -6x + 8 }{x+1} \\\\= 5x^2-14x+8[/tex]
Factorize [tex]5x^2-14x+8[/tex]
[tex]5x^2-14x+8\\\\5x^2-10x-4x+8\\\\5x(x-2)-4(x-2)\\\\(5x-4)(x-2)[/tex]
Therefore, p(x) as a product of its linear factors is written as:
[tex]p(x) = (x+1)(x-2)(5x-4)[/tex]
Learn more here: https://brainly.com/question/18818577
HEEELp PLEASEEEEEEE tank uuuuuuuuuu
Answer:
they both are because they are not symmetrical??
Step-by-step explanation:
9514 1404 393
Answer:
both figures are parallelograms
Step-by-step explanation:
The diagonals of a quadrilateral bisect each other if and only if that quadrilateral is a parallelogram. Hence, the left figure is a parallelogram.
The opposite angles of a quadrilateral are congruent if and only if that quadrilateral is a parallelogram. Hence the right figure is a parallelogram.
__
Additional comment
Proofs of these conditions can be offered, but these are the conclusions of the respective proofs. The bisected diagonals form pairs of triangles, provably congruent using SAS. (left figure) The angles total 360°, so any adjacent pair must total 180°, making opposite sides parallel. (right figure)
Plz help me find these functions!
Answer:
[tex]\sin \alpha = \frac{5}{13}[/tex], [tex]\cos \alpha = \frac{12}{13}[/tex], [tex]\tan \alpha = \frac{5}{12}[/tex], [tex]\cot \alpha = \frac{12}{5}[/tex], [tex]\sec \alpha = \frac{13}{12}[/tex], [tex]\csc \alpha = \frac{13}{5}[/tex]
Step-by-step explanation:
The angle [tex]\alpha[/tex] is the angle opposite to the side of length 5 and adjacent to the side of length 12. From Trigonometry we remember the following relationships:
[tex]\sin \alpha = \frac{5}{\sqrt{5^{2}+12^{2}}}[/tex]
[tex]\sin \alpha = \frac{5}{13}[/tex]
[tex]\cos \alpha = \frac{12}{\sqrt{5^{2}+12^{2}}}[/tex]
[tex]\cos \alpha = \frac{12}{13}[/tex]
[tex]\tan \alpha = \frac{5}{12}[/tex]
[tex]\cot \alpha = \frac{12}{5}[/tex]
[tex]\sec \alpha = \frac{\sqrt{5^{2}+12^{2}}}{12}[/tex]
[tex]\sec \alpha = \frac{13}{12}[/tex]
[tex]\csc \alpha = \frac{\sqrt{5^{2}+12^{2}}}{5}[/tex]
[tex]\csc \alpha = \frac{13}{5}[/tex]
A computer store buys a computer system at a cost of $487.20. The selling price was first at $812, but
then the store advertised a 30% markdown on the system. Answer parts a and b.
a. Find the current sale price.
The sale price is $0
Round to the nearest cent as needed.)
NEEED HELP ASAP
Answer: a. The sales price $568.40
b.the price for the club members is $511.56
Step-by-step explanation: I have no idea I got it wrong on porpoise to get the correct answer for u
What is the value of x in the equation 24−2x=16?
a 4
b 8
c 12
d 20
Answer:
x = 4
Step-by-step explanation:
2 x 4 = 8
24 - 8 = 16
Answer:
x=4
Step-by-step explanation:
Sara has already saved $6. She earns $3 per hour. She needs a minimum of $94 to buy her new bike. What is the minimum number of hours she must work?
Answer:
30
Step-by-step explanation:
3 times 30 = 90 - 2(for the six she already had) so 30
i think
Please help it’s urgent !!
Answer:
2 is the correct answer you know it also
Use equivalent ratios to find the unknown value.
2
The unknown value is
Answer:
Unknown number = 36
Step-by-step explanation:
Equivalent ratio means,
[tex]\frac{x_1}{y_1}=\frac{x_2}{y_2}[/tex]
If [tex]x_1=2, y_1=9[/tex] and [tex]x_2=8[/tex],
[tex]\frac{2}{9}=\frac{8}{y_2}[/tex]
By cross multiplication,
2 × y₂ = 8 × 9
2y₂ = 72
[tex]\frac{2y_2}{2}=\frac{72}{2}[/tex]
y₂ = 36
Therefore, missing number in the denominator of the fraction will be 36.
Need help asap please
Answer:
Option 3
Step-by-step explanation:
The number on the inside is the dividend and the number on the outside is the divisor. So we just have to place the dividend on the top and the divisor on the bottom.
I NEED HELP ASAP I’ll give Brainliest ,THANK YOU
Which statement about y = x ^ 2 + 7x - 30 is true?
the ratio of PHP 504.00to 14liters of gasoline
Answer:
36:1
Step-by-step explanation:
Divide 504 by 14 to get the ratio
Donald bought a box of golf balls for $9.31. There were 18 golf balls in the box.
About how much did each golf ball cost? Rename the decimal dividend as a whole number that is compatible with the divisor to estimate the quotient.
Step-by-step explanation:
Cost of each golf ball = $9.31 / 18
≈ $9 / 18 = $0.5.
Answer: 0.5172222222222222
Step-by-step explanation: divide 18 by 9.31
Francie lives 1_5 mile from the school. Jake lives 2_10 mile from the school. Do they live the same distance from the school? Explain.
Answer:
Yes
Step-by-step explanation:
So, we see that both Francie and Jake lives miles from the school. Hence, they both live the same distance from the school.
Solve the system by graphing. Tell whether the system has one solution, infinitely many solutions, or no solution. x − 2y = 3 y = −2x + 6
Answer:
yes
Step-by-step explanation:
I used a calculator
Multiple Choice: What method can be used to prove the triangles below are congruent? * Angle Side Angle (ASA) Angle Angle Side (AAS) Option 1 Option 2 Not Congruent Hypotenuse Leg (HL)
Answer:
angle side angle
Step-by-step explanation:
Can anyone explain and give answer please?
Answer:
slope = - [tex]\frac{1}{19}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 19x + 57 ← is in slope- intercept form
with slope m = 19
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{19}[/tex] ← slope of line w
ASAP
{(-6, 4), (5,-1), (0, 3), (-2,4)}
a. Domain=
b. Range =
c. Function=
Answer:
domain=-6,5,0,-2
range=4,-1,3,4
Step-by-step explanation:
u gotta ask function to someone else sry
A train travelled 300 kilometres in 5 hours. Find it's rate of speed
Answer:
The train traveled 60 kilometers per hour.
Step-by-step explanation:
300/5=60
Answer:
60 km/hours
Step-by-step explanation:
in the picture above.
Nelson used 35% of his savings account for his class trip in May. If he used $140 from his savings account while on his class trip, how much money was in his savings account before the trip?
Answer:
$400
Step-by-step explanation:
140 ÷ 35% = 400