Answer:
404.98 m
Step-by-step explanation:
The angle of depression is 5°
The horizontal distance from the airplane to the atoll is 4629 meters.
We need to find the height of the plane.
If we consider a triangle. 4629 meters will be the base and angle is 5°. Let h is the height of the plane. Using trigonometry to find it :
[tex]\tan\theta=\dfrac{x}{4629 }\\\\\tan(5)=\dfrac{x}{4629 }\\\\x=\tan(5)\times 4629 \\\\x=404.98\ m[/tex]
So, the height of the plane is 404.98 m.
Please help this is math equation!
SIKE lol
Answer:
oop lol
Step-by-step explanation:
welp
Answer:
oop hello mortals how are yall doing
Which of these is a factor of x3 – 3x2 ?
Question 19 options:
A)
x + 2
B)
x + 3
C)
x – 2
D)
x – 3
Answer:
The answer is D, x - 3.
Step-by-step explanation:
If we factor x^3-3x^2, the result is x^2(x-3).
Answer:
D
Step-by-step explanation:
Given
x³ - 3x² ← factor out x² from each term
= x²(x - 3) ← in factored form
with one of the factors being x - 3 → D
School lunches cost $224.75 for 15.5 weeks. About how much would the lunches cost per week?
Answer:$14.50
Step-by-step explanation:
Divide 224.75 by 15.5 and you will get the cost for per week.
A rectangle is 3 cm longer than it is wide. The diagonal is 15 cm. Find the dimensions of the rectangle?
Answer:
The length is 12 cm, and the width is 9 cm.
Step-by-step explanation:
The length and width of a rectangle as legs form a right triangle with the diagonal of the triangle as the hypotenuse.
We can use the Pythagorean theorem to write an equation.
Let the width = w = leg a
The length = w + 3 = leg b
The diagonal = the hypotenuse = 12 = c
a^2 + b^2 = c^2
w^2 + (w + 3)^2 = 15^2
w^2 + w^2 + 6w + 9 = 225
2w^2 + 6w - 216 = 0
w^2 + 3w - 108 = 0
(w + 12)(w - 9) = 0
w + 12 = 0 or w - 9 = 0
w = -12 or w = 9
Since a width cannot be a negative number, we discard the solution w = -12.
width = w = 9
length = w + 3 = 9 + 3 = 12
Answer: The length is 12 cm, and the width is 9 cm.
Natasha has a $50 gift certificate
to the jewelry store. She has
chosen several bracelets that are
$20 each. If the cost of the
bracelets is $30 after the gift
certificate is credited, how many
bracelets did Natasha buy?
Answer:
she bought 4 braclets
Step-by-step explanation:
if you do 20 times 4 it gets you 80 and if you subtract 50 it leaves you with 30 meaning she bought 4 bracelets
i do hope this helps even tho my explanation isn't exactly the best
select all equations that are equivalent to 5x+6/2=3-(4x+12)
Answer:
x=-4/3
Step-by-step explanation:
If bc+ad=b solve for a (please show work)
Answer:
a = [tex]\frac{b-bc}{d}[/tex]
Step-by-step explanation:
Given
bc + ad = b ( subtract bc from both sides )
ad = b - bc ( isolate a by dividing both sides by d )
a = [tex]\frac{b-bc}{d}[/tex]
y<2x-15; (7,4)
determine weather the point is a solution of the linear inequality show work
Answer:
Not a solution.
Step-by-step explanation:
4 < 2(7) - 15
4 < 14-15
4 < -1
Answer:
not a solution
Step-by-step explanation:
Substitute the x- coordinate of the point into the right side of the inequality and compare the result to the left side, that is
2(7) - 15 = 14 - 15 = - 1
Is 4 < - 1 ← no 4 > - 1
Thus (7, 4 ) is not a solution of the inequality
A photography studio charges $50 for a sitting fee and 6 prints. Luigi increased his order to 11 prints and paid $65. Write an equation in point-slope form.
HELP ME PLEASEEEE!!!
Answer: Sitting fee - 32$
Step-by-step explanation:
This is a system of equations(let x represent the sitting fee)
x+6y=50
x+11y=65
You want to isolate the x variable - x+6y-6y=50-6y ; x = 50-6y
Input this into the 2nd equation: 50-6y+11y=65 ; 50+5y=65
Subtract 50 from both sides. 5y=15 (Divided 5y on both sides) ; y=3
Now that y = 3 input this into any equation I choose the 1st one.
x+6(3) = 50 ; x + 18 = 50 (Subtract 18 on both sides to get x)
x = 32
Prove: 32 + 6(3) = 50 ; 32+18 = 50 ; 50 = 50 True
The volume of a gas in a container varies inversely as the pressure on the gas. If a gas has a volume of 129 cubic inches under a pressure of 3 pounds per square inch,
what will be its volume if the pressure is increased to 5 pounds per square inch? Round your answer to the nearest integer if necessary
Answer:
the volume is 77 in³
Rudy has three recipes for fruit punch. Each recipe calls for a certain amount of pineapple juice.
Recipe 1 2 cups of pineapple juice for 5 cups of punch
Recipe 2 7.2 cups of pineapple juice for 20 cups of punch
Recipe 3 6.4 cups of pineapple juice for 16 cups of punch
Use the information in the table to complete the statements below.
______ have the same proportion of pineapple juice to punch. For these two recipes, the unit rate of pineapple juice to punch is ________
.
If Rudy used either of these two recipes to make 3 cups of punch, there would be
________ cups of pineapple juice in in the batch.
Answer: Recipes 1 and 3 have the same proportion.
The unit rate is 1 cup of pineapple juice for 2¹/₂ cups of punch
To make 3 cups of punch, there would be 1.2 cups of pineapple juice.
To make 30 cups of punch, there would be 12 cups of pineapple juice.
Step-by-step explanation:
To find proportions, divide the amounts
2/5 = 0.4 7.2/20 = 0.36 6.4/16 = 0.4
I added the 30 cup batch because it seems unlikely that anyone would want to make only 3 cups of punch.
help please? i dont wanna fail qwq
Answer:
I have no idea
Step-by-step explanation:
Write 0.651 as a fraction?
[tex]\frac{641}{1000}[/tex] If you read the decimal and the fraction, it both reads 651 thousandths. So, therefore this is the correct answer
Answer:
651/1000
Step-by-step explanation:
The decimal reads 651 thousandths so 651 would be your numerator and 1000 would be your denominator. The fraction is not reduceable.
geometry help please :)
Answer:
If this is looking at the line In the center then F.
Step-by-step explanation:
The line in the center is the Niscetor of the line segment AC
Rectangle A'B'C'D' is a translation of rectangle ABCD . Table of vertices is shown below . Find the coordinates of points B and D' .
Answer:
B(2,10)
D'(4,-1)
Step-by-step explanation:
ok to find this we need to know what the translation is
from (2,2) to (-4,-1)
subtract 6 from x and subtract 3 from y
im gonna chak another just in case
3rd one
(10,10) to (4,7)
same rule
so for the second one they give us (-4,7)
to get this we subtracted 6 from x and 3 from y from original so
lets work backwards
add 6 from x and add 3 from y
(-4,7)+(6,3)
answer(2,10)
now D'
subtract 6 from x and 3 from y
(10,2)-(6,3)
(4,-1)
Help please thank you!!
the bottom. 1/23 something it that one
Plz help. WIll give brainliest
Answer: 25.9
Step-by-step explanation:
Given the equation y= X+ 9, what is the y-intercept?
A.-1/2
B.9
C.1/2
D.-9
Answer:
B
Step-by-step explanation:
9 is where you graph it first, to start your line. this would mean that it is B
If 3 is multiplied by a fraction less than 1, which of these could be the product?
a) 2/2
b) 3
c) 10/2
b) 4
Quickly plz What is the value of x?
O liv units
O 2 13 units
O 2/3 units
O 3v3 units
Answer:
[tex]x=3\sqrt{2}\\[/tex]
Step-by-step explanation:
Since the smaller triangles have a side of the same length, they share one side, and the included angle is 90°, the triangles are congruent.
This means the length of the side to the left is also x as shown in the image below.
The bigger triangle is also right and has side lengths of x, x, and 6 (the hypotenuse), thus:
[tex]x^2+x^2=6^2[/tex]
Operating:
[tex]2x^2=36[/tex]
[tex]x^2=18[/tex]
Since 18=9*2
[tex]x=\sqrt{9*2}[/tex]
[tex]\mathbf{x=3\sqrt{2}}[/tex]
The options are not clear enough, so I cannot make a choice.
3r²-6-3r=0 i have to use quadratic formula but i dont get how to imput it
Answer:
r = 2
r = -1
Step-by-step explanation:
So first, we need to get this is order of: ax^2 + bx + c
3r^2 - 6 - 3r
3^2 - 3r - 6
the formula is: -b ± √b^2 -4ac/2a
"ax^2 + bx + c" = "3^2 - 3r - 6"
a = 3
b = -3
c = -6
-b ± √b^2 -4ac/2a
-(-3) ± √(-3)^2 -4(3)(-6)/2(3)
3 ± √9 + (-12)(-6)/6
3 ± √9 + (72)/6
3 ± √9 + 72/6
3 ± √81/6
3 ± 9/6
3 - 9/6
-6/6
-1 = r
3 + 9/6
12/6
2 = r
Formula down below --
|
V
True or false? The sum of the exterior angles depends on how many sides there are in the polygon?
Answer: true i believe
Step-by-step explanation:
Find the unit rate
180 miles in 4 hours =
miles per hour
Answer:
= 45 miles per hour
Step-by-step explanation:
First, we want a unit rate where 1 is in the denominator.
So we divide,
180 miles/ 4 hours both ÷ by 4
= 45 miles/ 1 hour
= 45 miles/ hour
= 45 miles per hour
im really bad in math so could anybody help me
Answer:
B , D , A ,C
Step-by-step explanation:
PEMDAS
Answer:
= 5² = 25
= 36 ÷ 6 = 6
= 6 × 3 = 18
= 18 + 25 = 43
Step-by-step explanation:
The order of operations is PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction From Left to Right.
First is Exponents.
5² = 5×5 = 25
From left to right, division comes first.
36 ÷ 6 = 6
Then multiplication.
6 × 3 = 18
Lastly, addition.
18 + 25 = 43
Hope that helps.
Kris can run 200 meters in 25 seconds at this rate how many meters can he run in 80 seconds?
Answer:
640
Step-by-step explanation:
200 divided by 25 = 8
which means Kris can run 8 meters per second. 8 times 80 equals 640.
7k = 3k - 36
It’s gotta be a step by step equation
Oh so you like math name every digit in pi
did you mean name every flavor of pie
Can the sides of a triangle have lengths 2, 7, and 10?
Yes or No
Answer:
No
Step-by-step explanation:
2+7 must be larger than the other side
The volume of a rectangular prism, with length l, width w, and height h, is given by the formula l×w×h. Suppose that you know that the height of a rectangular prism is 10 cm and that the volume is 100cm3. What are the possibilities for the other dimensions, l and W, of the prism? Give your answers as pairs of positive integers. I don't really understand what this question's trying to ask me. And I don't know the steps on how to calculate it.
Answer:
(100,1) (50,2) (25,4) (20,5) (10,10)
Step-by-step explanation:
Given
[tex]V = l * w * h[/tex]
[tex]h = 10cm[/tex]
[tex]V = 1000cm^3[/tex]
Required
Determine the possible values of l and w
We start by substituting 1000 for V and 10 for h in t he given formula
[tex]V = l * w * h[/tex]
[tex]1000 = l * w * 10[/tex]
Divide both sides by 10
[tex]100 = l * w[/tex]
Reorder
[tex]l * w = 100[/tex]
This implies that when the value of l and w are multiplied together, the result is always 100.
Possible values of (l,w) are: (100,1) (50,2) (25,4) (20,5) (10,10) and many more
I need help with this question! Will mark brainliest :)
Answer:
A. y = 5/4x - 3
B. slope is 5/4
C. y intercept is -3
D. Increasing
Step-by-step explanation:
5x - 4y = 12
Slope intercept form: y = mx + b
4y = 5x - 12
y = 5/4x - 3
Slope is 5/4
Y intercept is when x = 0 so it is -3
the slope is positive, therefore the line is increasing