Answer:
30,440 feet
Step-by-step explanation:
You simply just add 29,029 and 1411 because if you picture it on a number line, 29,029 would be to get to zero as well as 1411 going up in elevation.
Find the perimeter of the polygon with the vertices $Q(-3,\ 2),\ R(1,\ 2),\ \ S(1,-2),$ and $T(-3,-2)$ .
Answer:
The perimeter is 16 units.
Step-by-step explanation:
Once you graph all the sides you can easily count and see the perimeter is 16. :)
Please help me to prove this!
Answer: see proof below
Step-by-step explanation:
Given: A + B + C = π → A + B = π - C
→ B + C = π - A
→ C + A = π - B
→ C = π - (B + C)
Use Sum to Product Identity: cos A + cos B = 2 cos [(A + B)/2] · cos [(A - B)/2]
Use the Sum/Difference Identity: cos (A - B) = cos A · cos B + sin A · sin B
Use the Double Angle Identity: sin 2A = 2 sin A · cos A
Use the Cofunction Identity: cos (π/2 - A) = sin A
Proof LHS → Middle:
[tex]\text{LHS:}\qquad \qquad \cos \bigg(\dfrac{A}{2}\bigg)+\cos \bigg(\dfrac{B}{2}\bigg)+\cos \bigg(\dfrac{C}{2}\bigg)[/tex]
[tex]\text{Sum to Product:}\qquad 2\cos \bigg(\dfrac{\frac{A}{2}+\frac{B}{2}}{2}\bigg)\cdot \cos \bigg(\dfrac{\frac{A}{2}-\frac{B}{2}}{2}\bigg)+\cos \bigg(\dfrac{C}{2}\bigg)\\\\\\.\qquad \qquad \qquad \qquad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A-B}{4}\bigg)+\cos \bigg(\dfrac{C}{2}\bigg)[/tex]
[tex]\text{Given:}\qquad \quad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A-B}{4}\bigg)+\cos \bigg(\dfrac{\pi -(A+B)}{2}\bigg)[/tex]
[tex]\text{Sum/Difference:}\quad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A-B}{4}\bigg)+\sin \bigg(\dfrac{A+B}{2}\bigg)[/tex]
[tex]\text{Double Angle:}\quad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A-B}{4}\bigg)+\sin \bigg(\dfrac{2(A+B)}{2(2)}\bigg)\\\\\\.\qquad \qquad \qquad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A-B}{4}\bigg)+2\sin \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A+B}{4}\bigg)[/tex]
[tex]\text{Factor:}\quad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\bigg[ \cos \bigg(\dfrac{A-B}{4}\bigg)+\sin \bigg(\dfrac{A+B}{4}\bigg)\bigg][/tex]
[tex]\text{Cofunction:}\quad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\bigg[ \cos \bigg(\dfrac{A-B}{4}\bigg)+\cos \bigg(\dfrac{\pi}{2}-\dfrac{A+B}{4}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A-B}{4}\bigg)+\cos \bigg(\dfrac{2\pi-(A+B)}{4}\bigg)\bigg][/tex]
[tex]\text{Sum to Product:}\ 2\cos \bigg(\dfrac{A+B}{4}\bigg)\bigg[2 \cos \bigg(\dfrac{2\pi-2B}{2\cdot 4}\bigg)\cdot \cos \bigg(\dfrac{2A-2\pi}{2\cdot 4}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =4\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi-B}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi -A}{4}\bigg)[/tex]
[tex]\text{Given:}\qquad \qquad 4\cos \bigg(\dfrac{\pi -C}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi-B}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi -A}{4}\bigg)\\\\\\.\qquad \qquad \qquad =4\cos \bigg(\dfrac{\pi -A}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi-B}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi -C}{4}\bigg)[/tex]
LHS = Middle [tex]\checkmark[/tex]
Proof Middle → RHS:
[tex]\text{Middle:}\qquad 4\cos \bigg(\dfrac{\pi -A}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi-B}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi -C}{4}\bigg)\\\\\\\text{Given:}\qquad \qquad 4\cos \bigg(\dfrac{B+C}{4}\bigg)\cdot \cos \bigg(\dfrac{C+A}{4}\bigg)\cdot \cos \bigg(\dfrac{A+B}{4}\bigg)\\\\\\.\qquad \qquad \qquad =4\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{B+C}{4}\bigg)\cdot \cos \bigg(\dfrac{C+A}{4}\bigg)[/tex]
Middle = RHS [tex]\checkmark[/tex]
Tell whether the blue figure is a translation of the red figure.
The blue figure !
I a translation of the red figure.
Answer:it is a translation
Step-by-step explanation:a translation is just a movement up down left or right not diagonal you’re just moving it up down left or right across the grid
Answer:
Yes
Step-by-step explanation:
Because a translation moves a shape up, down, or from side to side but it does not change its appearance in any other way. The translation is an example of a transformation. A transformation is a way of changing the size or position of a shape. Every point in the shape is translated at the same distance in the same direction.
what is an equation of the line that passes through the points (4,-6) and (8,-4)
Answer:
[tex]y = \frac{1}{2} x - 8[/tex]
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient (also known as slope) and c is the y-intercept (the point through which the line cuts through the y-axis).
[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]
Using the gradient formula above,
[tex]m = \frac{ -4 - ( - 6)}{8 - 4} \\ m = \frac{ - 4 + 6}{4} \\ m = \frac{2}{4} \\ m = \frac{1}{2} [/tex]
Substitute the value of m into the equation:
y= ½x +c
To find the value of c, substitute a pair of coordinates.
When x=4, y= -6,
-6= ½(4) +c
-6= 2 +c
c= -6 -2 (-2 on both sides)
c= -8 (simplify)
Thus, the equation of the line is y= ½x -8.
Which shows a difference of squares?
Answer:
the answer is C on egd2020
Step-by-step explanation:
god bless:}
x²y + 2 xy² + 3x²y=?
Answer:
2xy(2x+y)
Step-by-step explanation:
If each interior angle of a regular polygon is 144 degrees. Find the number of sides in it.
Answer:
10
Step-by-step explanation:
In a polygon
interior angle + interior angle = 180°, thus
exterior angle = 180° - 144° = 36°
The sum of the exterior angles in a polygon = 360°, thus
number of sides = [tex]\frac{360}{36}[/tex] = 10
Answer:
10 sides
Step-by-step explanation:
A decagon is a 10-sided polygon, with 10 interior angles, and 10 vertices which is where the sides meet. A regular decagon has 10 equal-length sides and equal-measure interior angles. Each angle measures 144° and they all add up to 1,440°.
Segment AB is congruent to segment AB. This statement shows the ______ property. reflexive symmetric transitive substitution
Answer:
the answer is reflective
Step-by-step explanation:
Answer:
A). reflexive
Step-by-step explanation:
The correct answer is reflexive. I know because I got it right on the Edge quiz. Trust me!
A repair bill for your car is $553. The parts cost $265. The labor cost is $48 per hour. Write and solve equation to find the number of hours T of labor spent repairing the car
Equation : __ =553
T= ___ hours
Answer:
6
Step-by-step explanation
265+48=313
553-313=240
240/60=6
Answer:
equation : 265 + 48T = 553
T = 6 hours
Step-by-step explanation:
equation
553 - 265 = 288
288 /48 = 6
the number of hours spent is 6
equation : 265 + 48T = 553
T = 6 hours
Evaluate the expression: -7(3t - 8) + 5, when t = -6
Answer:
147 maybe?
Step-by-step explanation:
write a calculation and a result that represents a number that is 5 greater than 3
Step-by-step explanation:
vt7vy7v fyy7ctyxt6zqDg gj
Don’t know the answer
Answer: The answer i think is A
Step-by-step explanation:45w stands for how much she paid each week, while 123.95 stands for a one time payment
This all should equal 753.95 which is how much they paid in total.
how are adding and subtracting two rational numbers with different signs related to adding and subtracting two integers with different signs.
Answer:
Step-by-step explanation:
it is related as all integers are rational numbers
The required solution is integers are rational numbers.
It is required to find the solution.
What is real number?Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.
Solution:
They are related because most of the integer numbers are similar to rational numbers. Also, when subtracting, it is basically like adding a negative number which is a integer. They are related because the equations have both integer and rational numbers in it.
∴It is related as all integers are rational numbers.
Therefore, the required solution is integers are rational numbers.
Learn more about real number here:
brainly.com/question/17547362
#SPJ2
Dunni earns money babysitting.She charges $20 for traveling to the job, plus another $5 for each hour she babysits.Yesterday Dunni earned $60 for babysitting job
state the domain, the range, and the intervals on which function is increasing, decreasing, or constant in interval notation
Answer:
domain (-∞, ∞)range (-∞, 4]increasing (-∞, 0)decreasing (0, ∞)constant (only at x=0, not on any interval)Step-by-step explanation:
The graph is of the equation y = -x^2 +4. It is a polynomial of even degree, so has a domain of all real numbers: (-∞, ∞).
The vertical extent of the graph includes y=4 and all numbers less than that:
range: (-∞, 4]
The graph is increasing to the left of its vertex at x=0, decreasing to the right.
increasing (-∞, 0); decreasing (0, ∞)
There is no interval on which the function is constant. It has a horizontal tangent at x=0, but a single point does not constitute an interval.
Solve: 4(x-1)-3(3x-2)=12(x+2)
Answer:
4x - 4 -9x + 6 = 12x + 24
arrange like terms
-5x +2 = 12x + 24
or, -17x = 22
x = - 22/17
Answer:
4x-4-9x+6=12x+24
4x-12x-9x= 4-6+24
-17 x= 22
X= -22/17
mark it as brainliest!!!
what is p-9/3=2 what is p?
p-9/3 = 2
p-9 = 2×3
p-9 = 6
p = 6+9
p = 15... Hope this will help...
Two angles are supplementary and have equal measures. What must
the measure of each angle be?
Answer:
These angles are called angle pairs. ... Supplementary angles are two angles whose sum is equal to \begin{align*}180^\circ\end{align*}. In other words when you add the measure of one angle in the pair with the other angle in the pair, they equal 180 degrees.
Step-by-step explanation:
Hope this helps you <3
what is 2.5 (x - 1) + 4.5 (-x - 2)
Answer:
2.5(x-1)+4.5(-x-2)
2.5x-2.5-4.5x-9
-2x-11.5
Step-by-step explanation:
Answer:
2x-11.5
Step-by-step explanation:
[tex]2.5(x-1)+4.5(-x-2)\\2.5x-2.5+4.5x-9\\2.5+2x-9\\2x-11.5[/tex]
hope this helps
help me for brainliest
Answer:
D = <-2, 10>Step-by-step explanation:
Domain is from x to x.
You can use a ruler to determine it:
Put ruler perpendicular to X-axis at the left end. Move the ruler slowly along X-axis to the right.
When the ruler touch the graph there the x is the beginig of the domain.
Move along to the right. When the ruler touches end of graph there the x is end of the domain.
The filled dot means < >, and the empty dot means ( ).
Solve for x: 6x + one over four(4x + 8) > 12 Im lost please help asap
Answer:
[tex]x > \frac{10}{7} [/tex]Step-by-step explanation:
[tex]6x + \frac{1}{4} (4x + 8) > 12[/tex]
Expand the terms in the bracket
That's
[tex]6x + x + 2 > 12 \\ 7x + 2 > 12[/tex]
Subtract 2 from both sides of the inequality
That's
[tex]7x + 2 - 2 > 12 - 2 \\ 7x > 10[/tex]
Divide both sides by 7
That's
[tex] \frac{7x}{7} > \frac{10}{7} [/tex]
We have the final answer as
[tex]x > \frac{10}{7} [/tex]
Hope this helps you
Help me guys! This question is hard for me
Answer:
should be answer A
Step-by-step explanation:
Answer:
I'm pretty sure the answer is D
Step-by-step explanation:
it appears to be a reflection to the plane below it. and it is one of the only ones to remain its shape and stay rigid(the same)
Factor k^2-81...............
Answer:
[tex](k+9)(k-9)[/tex]
Step-by-step explanation:
[tex]k^2-81[/tex]
[tex]k^2-9^2[/tex]
Apply the difference of squares formula: [tex]x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]
Thus, [tex]k^2-9^2=\left(k+9\right)\left(k-9\right)[/tex]
83.63 - 2.89 × (4.9 - 2.9)2 A. 72.07 B. 50.43 C. 1,046.56 D. 49.31 Please help
Answer:
A would be the anwser
Step-by-step explanation:
Answer: A. 72.07
Step-by-step explanation: Plato
graph the function y= 2.2 - |0.4x + 1|. what are the coordinates, to the nearest tenth, of the maximum of the graph.
A. (2.5, 2.2)
B. (-2.5, 2.2)
C. (0, 3.2)
D. (3.2, 0)
Answer:
B
Step-by-step explanation:
no explanation.......
Answer:
(-2.5,2.2)
Step-by-step explanation:
Please help o need this done fast I’m in a rush
Answer:b
Step-by-step explanation:
What is the value of 6x power of 2 when x=1.5
Answer:6x=
2=
X=1.5
Step-by-step explanation:
Point A is at (-7,5) and point M is at (0.4). Point M is the midpoint of point A and point B. What are the coordinates of point B?
Answer:
The coordinates of point B is
( 7 , 3)Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]
where
(x1 , y1) and (x2 , y2) are the points
Let the coordinates of B be ( x , y)
From the question the midpoint is ( 0 , 4) and A is (-7 , 5)
So we have
[tex](0 \: , \: 4) = ( \frac{ - 7 + x}{2} , \: \frac{5 + y}{2} )[/tex]
Next we compare the x and y coordinates of the midpoint to the x and y coordinates on the right hand side to find the missing coordinates
That's we equate them
So we have
For x[tex]0 = \frac{ - 7 + x}{2} \\ - 7 + x = 0 \\ \\ x = 7[/tex]
For y[tex]4 = \frac{5 + y}{2} \\ 8 = 5 + y \\ y = 8 - 5 \\ \\ y = 3[/tex]
So we have
x = 7 , y = 3
So the coordinates of point B is
( 7 , 3)Hope this helps you
Answer:
7,3
Step-by-step explanation:
28 people ordered dessert
2/7 ordered ice cream
the rest ordered the special
how many people ordered the special
Answer:
20 people
Step-by-step explanation:
The first step is to find out how many people are in 1/7 of the group. To do this, we divide 28÷7, and our answer is 4.
28÷7=4
Our next step is to find out how many people are in 2/7 of the group. We would double the 4, since 1/7 doubled is 2/7, and get 8.
4 x 2= 8
Now we know that 8 people ordered ice cream. To find the number of people who ordered the special, we subtract 8 from 28.
28-8= 20
Therefore, 20 people ordered the special. Hope this helps!
If 28 people ordered dessert, 2/7 ordered ice cream then 20 people ordered the rest.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that 28 people ordered dessert.
2/7 ordered ice cream and the rest ordered the special how many people ordered the special.
1/7 of the 28 people is 4.
Our next step is to find out how many people are in 2/7 of the group. We would double the 4, since 1/7 doubled is 2/7, and get 8.
4 x 2= 8
we know that 8 people ordered ice cream.
To find the number of people who ordered the special, we subtract 8 from 28.
Twenty eight minus eight equal to twenty.
28-8= 20
Hence, 20 people ordered the special.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
A person becomes instagram famous when they have more that 5,000. Dmytryus currently has 2,000 followers. For every 500 likes a photo of his gets, he gains 20 followers. a.) what is the slope and what does it represent in this situation? b.) How many likes does Dmytryus need before he will become instagram famous? ANSWER THIS IS URGENT!!!!!
Answer:
a. 25/1, likes per follow b. 75,000 likes
Step-by-step explanation:
The slope is the likes per follow, which is 500/20 simplified to 25/1. To find how many he needs for answer b, you first need to find how many more followers he needs, which is 3000. You then multiply the number of likes per follow by the number of followers needed, 25x3000. Dmytryus needs 75000 likes to become Instagram famous.