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.
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
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
Plz help. WIll give brainliest
Answer: 25.9
Step-by-step explanation:
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.
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:
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
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.
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
Help please thank you!!
the bottom. 1/23 something it that one
select all equations that are equivalent to 5x+6/2=3-(4x+12)
Answer:
x=-4/3
Step-by-step explanation:
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
help please? i dont wanna fail qwq
Answer:
I have no idea
Step-by-step explanation:
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
7k = 3k - 36
It’s gotta be a step by step equation
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
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]
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.
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
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
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
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.
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.
Please help this is math equation!
SIKE lol
Answer:
oop lol
Step-by-step explanation:
welp
Answer:
oop hello mortals how are yall doing
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
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)
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.
Oh so you like math name every digit in pi
did you mean name every flavor of pie
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
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.
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