The value of the given functions as listed are 30.09 degrees, 86.16 degrees, 38.12 degrees, and 83.83degrees
Given the following expression
sin x = 0.5015
Taking the inverse of both sides
sin⁻¹(sinx) = sin⁻¹0.5015
x = sin⁻¹0.5015
x = 30.09 degrees
For the cos function
cos⁻¹(cosx) = cos⁻¹0.5015
x = cos⁻¹0.0670
x = 86.16 degrees
For the tan function
tan⁻¹(tanx) = tan⁻¹0.5015
x = tan⁻¹0.5015
x =38.12 degrees
For the tan function
tan⁻¹(tanx) = tan⁻¹9.254
x = tan⁻¹9.254
x = 83.83degrees
Hence the value of the given functions as listed are 30.09 degrees, 86.16 degrees, 38.12 degrees, and 83.83degrees
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Katrice wrote the numbers 137 and 174. Which sentence is true about the digit 7 in each number?
The 7 in 137 represents ten times the 7 in 174.
The 7 in 174 represents ten times the 7 in 137.
The 7 in 137 represents one hundred times the 7 in 174.
The 7 in 174 represents one hundred times the 7 in 137.
Answer:
The 7 in 137 represents ten times the 7 in 137 (the second option)
Step-by-step explanation:
The seven in 137 equals 7
The seven in 174 equals 70
7 times 10 = 70
I hope this helped!
Please help please please
Answer: Profit
Step-by-step explanation:
1. She made profit
2. She got 300 more than what she bought it for.
3. Her percentage was I think 25% more ( i am not sure on this one)
2. The perimeter of a rectangle is 56m. The length is two less than four times the width. Find the length.
Answer:
Length=22 cm
Step-by-step explanation:
Perimeter=56 cm
let width=x
According to given condition:
length=4x-2 ...........(A)
Perimeter=2(length+width)
Substitute the values in above formula:
56cm=2(4x-2+x)
56cm=2(5x-2)
56cm=10x-4
(56+4)=10x
60 cm=10x
x=60cm/10
x=6cm
For the value of length :
Substitute the value of x in equation (A):
Length=4x-2
Length=4(6)-2 cm
Length=24-2 cm
Length=22 cm
If you have any confusion in this question, please let me know.
-16=m/5 -18 prove m=10
Answer:
[tex]-16 = \frac{m}{5} - 18\\2 = \frac{m}{5}\\10 = m\\[/tex]
Step-by-step explanation:
Given the equation [tex]-16 = \frac{m}{5} - 18[/tex] isolate [tex]m[/tex]
1. The first is sum both sides by 18
[tex]-16 + 18= \frac{m}{5} - 18 + 18\\2 = \frac{m}{5}[/tex]
2. The second is multiply both sides by [tex]5[/tex]
[tex]5 \cdot 2 =5 \cdot \frac{m}{5}\\10 = m[/tex]
So of this way you can proof that [tex]m = 10[/tex]
helppppp plzzzz is fue today
Answer:
0
Step-by-step explanation:
There is no gradient there.
CAN ANYONE SAY WHAT IS 1 + 1 PLZ FAST FAST PLZ
Answer:
1+1???????? 1+1=2. :/
how to evaluate 3-(-10)
Answer:it's 13
please let me know if this is wrong
Answer:
Answer:
i am uncertain by the question
Step-by-step explanation:
10-3=7
10/3=3.333...
Answer:
the answer is "what are you doing step
bro"
A truck that can carry no more than 7600 lb is being used to transport refrigerators and upright pianos. Each refrigerator weighs 300 lb and each piano weighs 525 lb. Write and graph an inequality to show how many refrigerators and how many pianos the truck could carry. Will 13 refrigerators and 7 pianos overload the truck? Explain.
Answer:
13 refrigerators and 7 pianos will NOT overload the truck
Step-by-step explanation:
For x refrigerators, their total weight is 300x.
For y pianos, their total weight is 525y.
The total weight of both of these together must not exceed 7600, so the inequality is ...
300x +525y ≤ 7600
__
The point (x, y) = (13, 7) lies in the solution area. The truck will not be overloaded.
__
Check
300(13) +525(7) = 7575 . . . this is less than 7600
Answer:
Step-by-step explanation:
Represent the number of refrigerators by r and that of pianos by p.
Then the total weight in the truck bed is calculated and we determine whether or not this total is less than the truck capacity.
Find the total weight of the load consisting of 13 refrigerators and 7 pianos. The inequality given above becomes:
w(r, p) = (300 lb)r + (525 lb)p ≤ 7600 lb
w(13, 7) = (300 lb)13 + (525 lb)7 ≤ 7600 lb becomes:
w(13, 7) = 3900 lb + 3675 lb = 7575 lb
Since 7575 lb is just under the truck's capacity (7600 lb), the truck will not be overloaded.
3y + 2 = 4x , x+ 5y = 3 what is the solution to the system of equations shown above? (in fraction form)
Answer:
19/23, 50/23
Step-by-step explanation:
We can take the first equation and isolate the x:
x + 5y = 3 ⇒ -5y ⇒
x = 3 - 5y.
Then we can substitute the x in the first equation by this:
3y + 2 = 4(3-5y) ⇒
3y + 2 = 12 - 20y ⇒ +20y
23y + 2 = 12 ⇒ -2
23y = 10 ⇒ ÷23
y = [tex]\frac{10}{23}[/tex]
Then we can add the value of y into the equation equaling x we made:
x = 3 - 5([tex]\frac{10}{23}[/tex]) ⇒
x = 3 - [tex]\frac{50}{23}[/tex] ⇒
x = [tex]\frac{19}{23}[/tex]
Hope this helps! :)
Write the equation of the line in Slope-Intercept Form given the information below. Slope =4 Point =(1,−1) slope-intercept form
Answer:
y = 4x + -1/1
-1/1 as a fraction. Down by 1 and right by 1
The equation of line in slope intercept form which is passing through
(1, -1) is y = 4x -5.
What is the slope of line?A slope of a line is the change in y coordinate with respect to the change in x coordinate.
What is the equation of line in slope intercept form?The equation of line in slope intercept form is given by y = mx + c.
According to the given question.
We have
The solpe of the line, m = 4
Also, the point through which the line is passing, [tex](x_{1} , y_{1}) = (1, -1)[/tex]
Since, we know that the equation of line in slope intercept form of the line is given by
y = mx +c
Since, the above line is passing through (1, -1) and the slope is 4.
Therefore,
-1 = 4(1) + c
⇒ -1 = 4 + c
⇒ -1 -4 = c
⇒ c = -5
Substitute the value of m and c in the equation y = mx + c.
⇒ y = mx + c
⇒ y = 4x -5
Therefore, the equation of line in slope intercept form which is passing through (1, -1) is y = 4x -5.
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What is meant by Sets ?
Answer:
In mathematics, a set is a collection of elements. The elements that make up a set can be any kind of mathematical objects: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets. The set with no element is the empty set; a set with a single element is a singleton.
help me please
only the 22. (c)
Answer:
d.
took the test
Step-by-step explanation:
PLEASE HELP 7th GRADE MATH ASAP!
I dont know what the constant of proportionality is, so HELP
Answer:
a. 28.7 miles
b. 40 miles
Step-by-step explanation:
See attachment.
Convert minutes to hours and divide that into 1 1/2 miles to get a speed of 40 miles/hr (mph). Multiply 40 mph by each of the two times (converted to hours) to find the miles travelled for the two times.
a. 28.7 miles
b. 40 miles
PLEASE PLEASE AND ANWER FAST PLEASE!
Answer:
Option A. The student incorrectly used < instead of > for the second inequality. The correct inequality is >.
Step-by-step explanation:
Defintions:Boundary lines that are often used in systems of linear inequalities determine the location of the solutions region in a coordinate plane.
Solid boundary lines are used for the equal sign, "=," and the inequality symbols "≥" and "≤." This implies that the points along the line (endpoints) are included as solutions to the given system. Dashed boundary lines are used for inequality symbols, ">" and "<." Using the dashed lines as the boundary implies that the points along the line (endpoints) are not included as solutions to the given system. Solution:Given the systems of linear inequalities: y ≤ 0.5x + 1 and y = -2x + 1:
In order to determine what is the appropriate inequality symbols for both equations, we must first set the second equation with an equal sign. Then, choose a test point (not in either lines) to determine which half-plane region must be shaded.
Test point: (0, 0)
Substitute the test point into both equations to determine whether it satisfies the given equation:
y ≤ 0.5x + 10 ≤ 0.5(0) + 1
0 ≤ 0 + 1
0 ≤ 1 (True statement).
y = -2x + 20 = -2(0) + 2
0 = 0 + 2
0 = 2 (False statement). Therefore, the half-plane region that doesn't contain the test point must be shaded. Hence, we must use the ">" symbol for this equation, as we're shading "above" where the values for y is greater than the y-intercept, (0, 2).
Therefore, the correct answer is Option A: The student incorrectly used < instead of > for the second inequality. The correct inequality is > (greater than symbol).
QuestionSolve the system of linear equations by substitution.8x−13y=012x+3=y
Answer:Y=6/37
Step-by-step explanation:
I'm thinking of a number that is 24 hundred less than half of 860 tens. what is my number?
Answer:
the answer is 4276, hope this helps :)
2. Theorem 2-10 states that through a point not on a line, there
is one and only one line parallel to the given line. How does this
justify the construction of the line through C that is parallel to
the line AB?
When two or more lines are parallel to each other, this implies that they do not meet even extending them till infinity. So the statement justifies the construction because only one line through point C can be constructed to be parallel to AB.
When a parallel line is constructed through a point to a given line, this is the only parallel line that can be drawn to the given line. Parallel lines are lines that will not meet at any point. Thus, only one parallel line can be constructed through a point not to a given line.
The construction of a line through C that is parallel to line AB is justified by the given statement in the theorem since this is the only parallel line to line AB that can be drawn through the point C. Any other line through C would intersect or meet line AB at a point when extended, thus would not be parallel to the given line.
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find the square root of 48
[tex] \: \: \: \: \: [/tex]
6.92820323step-by-step explanation
refer to the attachment
hope it helpsx =
A )10
B) 8
C) 9
Help me please this note is just so it will stop saying this is to short
Answer:
8
Step-by-step explanation:
it just makes sense, 5=10, therefore 4=8.
The second of three numbers is 8 more than the first,
and the third number is 3 less than 3 times the first.
If the third number is 15 more than the second, find
the three numbers.
1st___
2nd___
3rd___
Answer:
1st = 13
2nd = 21
3rd = 36
Step-by-step explanation:
Let the first number be
f
The second of three numbers is 8 more than the first,
f + 8
third number is 3 less than 3 times the first.
3f - 3
---------------------------
the third number is 15 more than the second,
3f - 3 = (f + 8) + 15
3f - 3 = f + 23
Subtract f from both sides
2f - 3 = 23
add 3 to both sides
2f = 26
Divide both sides by 2
f = 13
f + 8 = 13 + 8 = 21
3f - 3 = 3(13) - 3 = 36
Each side of an equilateral triangle has length x+3 and each side of a square has length 4x-2. Write an expression for the sum of their perimeters.
Please help me!!
Answer:
square: 16x-8
triangle: 3x+9
Step-by-step explanation:
Squares have 4 equal sides. Equilateral triangles have 3 equal sides.
Multiply the length of one side by the total number of sides for each shape to find the perimeter. Then combine like terms.
Answer:
square: 16x-8
triangle: 3x+9
Step-by-step explanation:
f(x)={x+4….
for f(x)
Answer:
x+4 x<5
8 5<_x<7
2x -1 7<_x<_10
4x−7y=48? i need the fraction
Answer: y = -48/7 + 4x/7
10. The perimeter of a rectangular field is 100 ft and its width is 20 ft. Find
the length and the area of this rectangular field.
Answer:
Length is 30ft, area is 600ft squared
Step-by-step explanation:
PLZ HELP ASAP! I'LL GIVE BRAINLIEST AND POINTS JUST HELP PLZ
plz no links
Divide these numbers in scientific notation.
(9.6*10^-8) divided by (3*10^-7)
Answer:
3.2 *10^-1
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]\dfrac{9.6*10^{-8}}{3*10^{-7}}==\dfrac{9.6}{3}*10^{-8-[-7]}\\\\\\= 3.2*10^{-8+7}\\\\\\=3.2*10^{-1}[/tex]
The first three terms of an arithmetic sequence are as follows.
52, 44, 36
Find the next two terms of this sequence.
Answer: 8
Step-by-step explanation:
solve, (you can use long division if needed) <3
Answer:
4.9 inches
Step-by-step explanation:
78.4 diveded by 4
19.6 divided by 4
=4.9
If a jacket cost $74.95 and you had a coupon for 30% off, how much would the jacket cost you? (round to the nearest hundredth)
Answer value
Answer:
30% of 74.95 = .3 * 74.95 = 22.48
Net Cost = 74.95 - 22 48 = 52.47
Dakota earned $12.50 in interest in Account A and $11.25 in interest in Account B after 15 months.
If the simple interest rate is 4% for Account A and 3% for Account B, which account has the greater
principal? Explain.
Answer:
You haven't explained the time for account A - we will assume 12 months or the answer is obvious:
for Acct(A) : I = 12.5 = A1 * .04 A1 = $312.50
for Acct(B) I = 11.25 = A2 * .03 * 5/4 = 300
Note that annual interest in B is .03 or I = .03 + .03 * 1/4 = .0375 for 15 mos.
11.25 = .0375 * A2 A2 = 300
Account A will have the greater principal
Class:
ons
Notes/Examples
Parts of an Isosceles Triangle:
• The angle where the legs intersect is called the
• The side opposite the vertex angle is called the
• The angles along the base are called
Answer:
Vertex angle.Base.Base angles.Step-by-step explanation:
Using the Base Angles Theorem to define the terms relating to an isoceles triangle:
The Base Angles Theorem states that if the two sides of a triangle are congruent, then it means that the angles opposite to those sides are also congruent.An isoceles triangle has two congruent sides, referred to as the legs. As the legs of a triangle are slanted, they will intersect at a point known as the vertex angle. The side that is opposite to the vertex angle is the base of the triangle.
Therefore, the following are the missing terms in the given problem:
The angle where the legs intersect is called the vertex angle.The side opposite the vertex angle is called the base.The angles along the base are called base angles.