Answer:
Step-by-step explanation:
This question is asking us to find where sin(2x + 30) has a sin of 1. If you look at the unit circle, 90 degrees has a sin of 1. Mathematically, it will be solved like this (begin by taking the inverse sin of both sides):
[tex]sin^{-1}[sin(2x+30)]=sin^{-1}(1)[/tex]
On the left, the inverse sin "undoes" or cancels the sin, leaving us with
2x + 30 = sin⁻¹(1)
The right side is asking us what angle has a sin of 1, which is 90. Sub that into the right side:
2x + 30 = 90 and
2x = 60 so
x = 30
You're welcome!
A computer vauled at $30,000 is depreciated to $0 value over a 6 year period. find the rate of change in the computer's value per year.
Answer:
$5000 per year
Step-by-step explanation:
Given data
initial value of the computer= $30000
Final value = $0
Duration= 6years
Hence the rate of change in the value per year is
=30000/6
=$5000 per year
For a moving object, the force acting on the object varies directly with the objects acceleration. When a force of 35 N acts on a certain object, the acceleration of the object is 5 m/s^2. If the force is changed to 21 N, what will be the acceleration of the object?
=======================================================
According to Newton's Second Law, we know that
F = m*a
where F is the force applied, m is the mass and 'a' is the acceleration.
We see that this is a direct variation equation for F and a, such that m is the constant of variation. It's similar to how y = kx is also a direct variation equation.
Plug in F = 35 and a = 5 to find m
F = ma
35 = m*5
35/5 = m
7 = m
m = 7
The object has a mass of 7 kg
Our equation F = ma updates to F = 7a
Now plug in the force F = 21 to find 'a'
F = 7a
21 = 7a
21/7 = a
3 = a
a = 3
The acceleration will be 3 m/s^2
Notice how a smaller force applied means that the acceleration has also gone down as well.
I need help!!
Find the height of this cone using the Pythagorean Theorem.
Answer:
h = 4sqr(3)
Step-by-step explanation:
r = d/2
d = 8
r = 8/2
r = 4
a = 4
c = 8
b = h = ?
a^2 + h^2 = c^2
4^2 + h^2 = 8^2
16 + h^2 = 64
h^2 = 64 - 16
h^2 = 48
sqrt(h^2) = sqrt(16*3)
h = 4 sqrt3)
Answer:
48
Step-by-step explanation:
In Exercises 51−56, the letters a, b, and c represent nonzero constants. Solve the equation for x
2bx – bx = -8
Answer:
x = -8/b
Step-by-step explanation:
2bx – bx = -8
Combine like terms
bx = -8
Divide by b
bx/b = -8/b
x = -8/b
Cho đa thức f(x) = biết rằng f(1)=f(-1); f(2)=f(-2).
Chọn câu đúng :
A. f ( x ) = f ( −x) với mọi x
B. f ( x ) = − f ( −x) với mọi x
C. f ( x ) = 2 f ( −x) với mọi x
D. f ( x ) = 3 f ( −x) với mọi x
Answer:
A
Giải thích:
f(1)=f(x)
f(-1) và f(-2)= f(-x)
=> f(1)=f(-1) =A. f(x)=f(-x)
Jol 26, 12:24:35 PM
Solve for x. Round to the nearest tenth, if necessary.
5.7
71
Answer: 2
Submit Answer
attempt 1 out of 2
PLS HELP i really need to finish this
Answer:
x = 16.6
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan 71 = x /5.7
5.7 tan 71 = x
x=16.55400
Rounding to the nearest tenth
x = 16.6
Round 0.090999 to four decimal places.
0.0910, I think.
-
-
-
-
-
-
-
My dyslexia did not like theese numbers
Using Eulers formula, how many edges does a polyhedron with 6 faces and 6 vertices have? Eulers Formula: F+V=E+2
Answer:
10
Step-by-step explanation:
E = F + V - 2
E = edges
F = faces = 6
V = vertices = 6
E = 6 + 6 - 2
E = 12 -2
E = 10
CAN SOMEONE PLEASE HELP ME OUT
Answer:
Similarly: yes
Similarly Statement: LMNO ≈ ZWXY
Scale factor: 2/7
Answered by GAUTHMATH
Please help me solve this short problem today is my last day to complete these
Answer:
shift of 1 unit to the right
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
Given the parent function is y = x² , then
y = (x - 1)² is a shift to the left of 1 unit of the parent function
HELP ME WITH THIS PLS IM FAILING REALLY BAD ITS PYTHAGOREAN THEOREM
Answer:
50 km
Step-by-step explanation:
c = √a^2+b^2
=√30^2+40^2
= √900 + 1600
=√2500
= 50 km
Answer:
50km
Step-by-step explanation:
= X
20
100
60
Please help me
Answer:
x = 100
Step-by-step explanation:
(100-40)/2
= 60/2
= 30
So it's 100
Answered by GAUTHMATH
Need helppppp asappppppp
Answer:
Step-by-step explanation:
Question : A map of the city is made using the scale 1 cm = 18 m. If the park in the city is 90 m long,
what is its length in the map?
Answer:
5 cm
Step-by-step explanation:
We can use a ratio to solve
1 cm x cm
------- = ---------
18 m 90 m
Using cross products
1 * 90 = 18x
Divide each side by 18
90/18 = 18x/18
5 =x
5 cm
[tex]\bf \large \longrightarrow \: \frac{1}{18} \: \times \: \frac{x}{90} \\ [/tex]
Now , Cross Multiplying[tex]\bf \large \longrightarrow \: \: 18x \: = \: 90[/tex]
[tex]\bf \large \longrightarrow \: \:x \: = \: \frac{90}{18} \\ [/tex]
[tex]\bf \large \longrightarrow \: \:x \: = \: \cancel\frac{90}{18} \: ^{5} \\ [/tex]
[tex]\bf \large \longrightarrow \: \:x \: = \: 5[/tex]
Hence , the length of map is 5 cm.
Pippa had 35 stickers. She gave an equal number of stickers to 8 friends. She gave each friend as many stickers as possible and kept the rest for herself. How many stickers did Pippa keep for herself? What is the misconception which might lead some to select D) 27 A) 3 B) 4 C) 11 D) 27
Answer:
The answer is (A), Pipa kept 3 stickers to herself
Step-by-step explanation:
what is the value of the smallest of five consecutive integers if the least minus twice the greates equals -3
A. -9
B. -5
C. -3
D. 5
Answer: (b)
Step-by-step explanation:
Given
There are five consecutive integers and the least minus twice the greatest equals to -3
Suppose [tex]x,x+1,x+2,x+3,x+4[/tex] are the five consecutive integers
According to the question
[tex]\Rightarrow x-2(x+4)=-3\\\Rightarrow x-2x-8=-3\\\Rightarrow -x=8-3\\\Rightarrow x=-5[/tex]
option (b) is correct.
Name three collinear points.
Answer: l,j,k
Step-by-step explanation:
One angle on the base of an isosceles triangle is 30°. What is the measure of its vertical angle?
Answer:
120 degrees
Step-by-step explanation:
vertical angle of isoceles = 180 - 2(base angles) = 180 - 2(30) = 120
Answer:
isosceles triangle means both angle or sides equal so in this way
unknown angle + 30 + 30 = 180°
unknown angle+60=180
so unknown angle=120°
which is vertical angle
A man invested a certain amount of money in a bank at a simple interest rate of 5percent per annum. At the end of the year, his total amount un the bank was GHC 840,000.00. How much sid he invest in the bank.
Answer: He invested 8,00,000.
Step-by-step explanation:
R = 5%
A = 840,000
T = 1 year
so
so
I = A-P
so
I = PTR/100
or, A-P = (p*1*5)/100
or, 840,000-P = 5p/100
or, 8,40,00,000-100P = 5p
or, 8,40,00,000 = 105P
so, p = 8,40,8,40,00,000
so, P = 8,00,000
rachel rides her bicycle due east at 9 miles per hour amos rides his bicycle due north at 12 miles per hour if they left from the same point at the same time how far apart will they be after 1 hour
The distance between Rachel and Amos after one hour is 15 miles.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Distance travelled by Rachel after one hour = 9 mph * 1 h = 9 miles
Distance travelled by Amos after one hour = 12 mph * 1 h = 12 miles
Let x represent the distance between Rachel and Amos, hence:
x² = 9² + 12²
x = 15
The distance between Rachel and Amos after one hour is 15 miles.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Using the Pythagorean Theorem, they will be 15 miles apart after one hour.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
For this problem, considering their directions, their distance is the hypotenuse of a right triangle of legs 9 miles and 12 miles, hence:
[tex]d^2 = 9^2 + 12^2[/tex]
[tex]d = \sqrt{9^2 + 12^2}[/tex]
d = 15 miles
More can be learned about the Pythagorean Theorem at https://brainly.com/question/654982
#SPJ1
|Area of a square field is 617796cm² . Find length of its each side.
Answer:
length of its each side is 786 cm
Step-by-step explanation:
l² = 617796cm²
l = √617796
l = 786cm
Answer:
[tex]area \: of \: square = {l}^{2} [/tex]
[tex]617796 = {l}^{2} [/tex]
[tex] \sqrt{617796 } = l[/tex]
[tex]786 = l[/tex]
therefore ,l=786cm
150 cm
7xcm
24x cm
The right-angled triangle in the diagram has sides of length 7x cm, 24x cm and 150 cm
a Show that x= 36.
9514 1404 393
Answer:
can't be done. x = 6, not 36
Step-by-step explanation:
Without the diagram we must speculate that the 150 cm length is the hypotenuse. Then we have ...
150² = (7x)² +(24x)² = (49 +576)x² = 625x² . . . . Pythagorean relation
150²/625 = x² = 36 . . . . . divide by 625
x = √36 . . . . . . . . . . . take the square root
x = 6
What is the product of the fractions below?
Answer:
B
Step-by-step explanation:
6/11 * 7/3 = 6*7/11*3 = 42/33
We can simplify this by dividing both by 3.
42/3 = 14
33/3 = 11
So we get 14/11
Write each function in parametric form, using the given equation for x.
x^2+y^2=9, x= cos t
please help! I will give brainliest to the right answer
Answer:
75.36 is the answer.
Step-by-step explanation:
trust me bro.
Answer:
75.39822
Step-by-step explanation:
2πrh+2πr2=2·π·2·4+2·π·22≈75.39822
It said don't round your answer...
A national caterer determined that 37% of the people who sampled their food said that it was delicious. If the 144 people at the Valley Ridge Nursing Home are given the same food, and asked by tables what the deliciousness of the food, what is the mean of the sampling distribution of p-hat (the population proportion)
Answer:
Hence the mean of the sampling distribution of proportion is,
[tex]\mu\hat p = p = 0.37[/tex].
Step-by-step explanation:
Here the given details are,
p = 0.37
1 - p = 1 - 0.37 = 0.63
n = 144
The mean of the sampling distribution of proportion is,
[tex]\mu\hat p = p = 0.37[/tex]
Need answers please
Answer:
C
Step-by-step explanation:
you are adding
-3√18=
-27
√16=4
-27+4=-23
What is the length of leg s of the triangle below?
90°
45
6
172
45
O
A. 72
B. 5
C. 3
O O O O a
D. 6
E. 3.2
F. 36
Answer:
6
Step-by-step explanation:
It's a 45-45-90 triangle, it has two similar sides, since it has two similar angles, which are both 45°
so, side = s = 6
Answered by GAUTHMATH
The length of the leg s of the triangle below is 6.
Option D is the correct answer.
What is the Pythagorean theorem?Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We can apply this theorem only in a right triangle.
Example:
The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.
Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm
We have,
Applying the Pythagorean theorem in the triangle.
√72² = s² + 6²
72 = s² + 36
s² = 72 - 36
s² = 36
s = √36
s = 6
We can also say that,
Opposite angles of equal sides are equal
So,
s = 6.
Thus,
The length of the leg s of the triangle below is 6.
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ7
Carrie is asked to draw a triangle with the following specification
• at least two angles measuring 60°
Which of the following statements about this triangle is true?
A. One and only one triangle exists with the given condition, and it must be an equilateral triangle
В.
More than one triangle exists with the given condition, and all instances must be equilateral triangles
C
One and only one triangle exists with the given condition, and it must be an isosceles triangle
D
More than one triangle exists with the given condition, and all instances must be isosceles triangles
Answer:
just put in the cheat codes of life its not that hard
Answer:
answers is B
(Study island)
Step-by-step explanation:
For a beverage, Lisa mixes cups of lemonade to cups of ice tea in a ratio of 2:5. Which of the following best describes the amount of lemonade to iced tea
Answer:
lemonade is 4:10 to ice or .4:1
Step-by-step explanation:
Assuming lemonade is 2 and tea is 5, you can use a table or multiply both reciprocals by 2 so 2x2 and 2x5 = 4:10. then if you want to see how much is in just once cup of tea divide by ten to each for the product of .4:1
Answer: For every 2 cups of lemonade, there are 5 cups of iced tea.
if the ratio is 2:5 then for every 2 cups of lemonade there are 5 cups of tea.
it is just another way of saying the ratio
