Answers
Answer: Approximately 30.4 degrees
=========================================================
Work Shown:
324 - 1.6 = 322.4 is the height of the right triangle. This is the opposite side compared to the angle theta.
The adjacent side is 550 since it is the leg closest to the angle theta.
We'll use the tangent rule to connect the two sides
tan(angle) = opposite/adjacent
tan(theta) = 322.4/550
theta = arctan(322.4/550)
theta = 30.3780566013696
theta = 30.4
Your teacher didn't provide any rounding instructions, but I rounded to one decimal place since the value 1.6 is to one decimal place.
Related Questions
A parabola can be drawn given a focus of (-4, -5) and a directrix of y=3. Write the equation of the parabola in any form.
Answers
Answer:
The equation of the parabola is (x + 4)² = -16(y + 1)
Step-by-step explanation:
The standard form of the equation of the parabola is (x - h)² = 4p(y - k), where
The vertex of the parabola is (h, k)The focus is (h, k + p)The directrix is at y = k - p∵ The focus at (-4, -5)
∴ h = -4
∴ k + p = -5 ⇒ (1)
∵ The directrix at y = 3
∴ k - p = 3 ⇒ (2)
→ Add equations (1) and (2) to find k
∴ 2k = -2
→ Divide both sides by 2 to find k
∴ k = -1
→ Substitute it in equation (1) to find p
∵ -1 + p = -5
→ Add both sides by 1
∴ -1 + 1 + p = -5 + 1
∴ p = -4
→ Substitute the values of h, k, and p in the formula above
∵ (x - -4)² = 4(-4)(y - -1)
∴ (x + 4)² = -16(y + 1)
∴ The equation of the parabola is (x + 4)² = -16(y + 1)
Find the measures of the exterior angles.
Answers
Answer:
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. (Non-adjacent interior angles may also be referred to as remote interior angles.) FACTS: An exterior ∠ is equal to the addition of the two Δ angles not right next to it.
Find the slope please help!
Answers
Answer:
4.5 is the answer 9/2=4.5
Step-by-step explanation:
Help me please solve this
Answers
9514 1404 393
Answer:
a) no
b) yes
Step-by-step explanation:
a) You cannot draw the graph around x=0 without lifting your pencil. The function is not continuous at x=0.
__
b) You can draw the graph around x=1 without lifting your pencil. The function is continuous at x=1.
_____
Additional comment
In technical terms, the limit from the left at x=0 is 2; the limit from the right is 3. These are different, so the function is not continuous there.
On the other hand, the left and right limits at x=1 are the same (both 2), and are equal to the value of the function at that point (f(1)=2). Hence, the function is continuous at x=1.
select the equation that represents the problem. Let × represent the unknown number.
Ms. Weaver bought 216 pencils for her class. The pencils came in packs of 24. How many packs did she buy?
A. 216× = 24
B. 216 - × = 24
C. × + 24 = 216
D. 24× = 216
Answers
Answer:
the is option d cause big number is divided by small ones.
Step-by-step explanation:
hope it's right
What is the y coordinate of the solution
Answers
Answer:
8
Explanation:
3x-7=x^2-7x+18
X= 5
Y=3(5)-7 aka 15-7
=8
What is the area of the circle?
Answers
Answer:
50.24 [tex]m^{2}[/tex]
Step-by-step explanation:
The formula to find the area of a circle is [tex]\pi r^{2}[/tex]. The radius of this circle is 4 because the radius is half the diameter. Since [tex]\pi[/tex] is an irrational number (whose digits goes on forever without repeating), people use use the first three numbers which are 3.14. Substitute 4 for r and 3.14 for [tex]\pi[/tex] into the formula, and you’ll get 50.24, and the answers also have the [tex]m^{2}[/tex] part too because your finding the area of a shape.
Hope this helps! :)
Please help, I only have 30 minutes left...
Answers
Answer:
(2,-1)
Step-by-step explanation:
hope i helped <3
Answer:
(2,-1)
Step-by-step explanation:
That is the answer becasue the x-axis is 2 and the y-axis is -1
Help now please :))))
Answers
Answer: the last one
Step-by-step explanation:
How to find the volume for a right triangle
Answers
Answer: length times width divided by 2
Step-by-step explanation: it's half a rectangle
Helppppppp:))))))).......
Answers
Answer:
y=6 is the correct answer
Karana's mom bought her two items using a credit card. The first item cost $235, and the second item cost $369. Later, she returned both items to the store. What was the change in the amount owed to the credit card company from returning both items?
A.-$134
B.$134
C.$604
D.-$604
Answers
Answer:
C. 604
Step-by-step explanation:
Karana returned the items so you are adding the money back to the credit card which would be 604. 369 + 235 = 604
How do you perform a Fourier transform of the Weierstrass function (Fourier series, Fourier transform, math)?
No answer needed - take the points.
Answers
omg thank u sooo much for the points!! :D
Luther starts jogging 8minutes on the first day and then increases his time by 4 minutes each day. How many minutes will he jog the fifth day?
Answers
Answer:
80?
Step-by-step explanation:
Answer:
(8+4)x5
Step-by-step explanation:
Kim has two babysitting offers for the same night. At the first job, she can babysit for 8 hours and
make $72. At the second job she can babysit for 6 hours and make $57. Which job pays more per
hour?
Answers
Answer:
The second job
Step-by-step explanation:
Divide 72 by 8 which equals 9
(72÷8=9)
Divide 57 by 6 which equals 9.5
(57÷6=9.5)
The job earns half more than than the first job in a hour
Evaluate the expression when x = 32 and y = 2.
x over 4y
Answers
Answer:
4
Step-by-step explanation:
[tex]\frac{32}{4x2}[/tex]
[tex]\frac{32}{8}[/tex]
[tex]\frac{16}{4}[/tex]
[tex]\frac{4}{1}[/tex]
4
What is the area of a rectangle with a length of 1/3 yards and width of 3/4 yard?
Answers
Answer:
1/4 yards squared
Step-by-step explanation:
Area of a rectangle equals length times width.
1/3 x 3/4 = 3/12, or 1/4
Answer:
It would be 1/4 and if not try 3/12
Step-by-step explanation:
I hope this helped
27
Solve for x.
5x – 5 = 9x + 3
X =
Answers
Answer:
- 2
Step-by-step explanation:
Add 5 From Both Sides
Simplify
Subtract 9x from both sides of the equation
Simplify
Divide both sides of the equation by the same term
Simplify
Solution
Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
Step-by-step on how to solve it is in the picture below ↓
Hope this helps! :)
The area of a rectangular painting is 8428 cm² If the width of the painting is 86 cm, what is its length?
Answers
9514 1404 393
Answer:
98 cm
Step-by-step explanation:
Area is the product of length and width. Fill in the given numbers in the formula and solve for length:
A = LW
8428 cm² = (86 cm)L
L = 8428 cm²/(86 cm) = 98 cm . . . . . divide both sides by 86 cm
The length of the painting is 98 cm.
a owner increases the rent office house by 5% at end of each year if current its rent is ₹2500pm how much will be the rent after two years
Answers
Answer:
2950$
Step-by-step explanation:
2500×5%=125$
125×2=250$
2500+250=3960$
marissa can read 15 pages in 5 minutes and 30 seconds how long will it take for her to read 105 pages
Answers
Answer:
38.5 minutes
Step-by-step explanation:
105 divided by 15=7
7 x 5 minutes and 30 seconds is 38.5 minutes
(tan x - 1) (sin^2x - 3) =0
no answer necessary
Answers
Answer:
0
Step-by-step explanation:
Thx
3x + y = 15 What is the solution of this system of equations? (5x+2y=-4
Answers
Answer:
x=34 y=-87 (34,-87)
Step-by-step explanation:
3x+y=15 rewrite to solve for y -----> y=15-3x
5x+2y=-4
Plug y=15-3x into 5x+2y=-4
So, 5x+2 (15-3x)=-4
Distribute: 5x+30-6x=-4
Combine like terms: 30-x=-4
Solve for x -x=-34
Solve for x x=34
Then, to solve for y, plug "x" into 3x+y=15
So, 3(34)+y=15
Distribute: 102+y=15
Solve for y y=-87
Abigale drove 20 kilometers in 10 minutes, and Jordan drove 30 kilometers in 15 minutes.
Both Abigale and Jordan drove at a constant speed.
Did Abigale and Jordan drive at the same speed? Explain your reasoning.
Answers
Answer:
15
Step-by-step explanation: 20+10+3+30 =30
What is the exact distance from (-5,1) to (3,0).
Answers
Answer:
The distance between the two points is [tex]\sqrt{65} \ \text{units}.[/tex]
Step-by-step explanation:
In order to find the distance between two coordinate pairs, we can use the distance formula:
[tex]\displaystyle \bullet \ \ \ d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Our coordinate pairs need to be labeled accordingly, so we can use this naming system:
[tex]\bullet \ \ \ (x_1, y_1), (x_2, y_2)[/tex]
This assigns a name to our points:
[tex]x_1 = -5[/tex][tex]y_1 = 1[/tex][tex]x_2 = 3[/tex][tex]y_2 = 0[/tex]Therefore, we can plug these into the formula and solve:
[tex]d=\sqrt{(3-(-5))^2+(0-1)^2}\\\\d=\sqrt{(8)^2+(-1)^2}\\\\d=\sqrt{8^2+1^2}\\\\d=\sqrt{64+1}\\\\d=\sqrt{65}[/tex]
Therefore, the distance between the two points is [tex]\sqrt{65} \ \text{units}[/tex].
Estimate the quotient for 5,738 divided by 21
Answers
Answer:
its 273 rounded but say 270
Step-by-step explanation:
The estimate is 270.
What is the common difference between successive terms in the sequence?
2, 8, 14, 20, 26, ...
-6
-4
4
6
Answers
If you subtract it from two or 14 from eight or 24 or 26 for 20 can all see that they are subtracted by six
:D
I’m kinda confused with this need help
Answers
Answer: 2n + 1 = n + 11
what is the greatest common factor of 3/5
Answers
Answer:
15
Step-by-step explanation:
3 × 5 = 15
Hope this helped <3
What is the value of the expression below?
2 [32 - (4-1) to the power of 3]
Enter your answer in the box.
Answers
Answer:
the answer is 10
Step-by-step explanation: