Answer:
[tex]\theta = 30^{\circ}[/tex]
Step-by-step explanation:
Given:
Range: [tex]0^{\circ} \le \theta \le 90^{\circ}[/tex]
[tex]Sin \theta = \frac{1}{2}[/tex]
Required
Find [tex]\theta[/tex]
[tex]Sin \theta = \frac{1}{2}[/tex]
Take arcsin of both sides
[tex]sin^{-1}(sin\theta) = sin^{-1}(\frac{1}{2})[/tex]
[tex]\theta = sin^{-1}(\frac{1}{2})[/tex]
Using the sin table
[tex]\theta = 30^{\circ}[/tex]
Lena has $7.00. She earns $10.50 for walking dogs. Then she spends $5.99 for a pair of earrings. How much money, in dollars, does Lena have left?
Answer:
11.51
7+10.55=17.55
17.55-5.99=11.51
Answer:
11.51
Step-by-step explanation:
7+10.55=17.55
17.55-5.99=11.51
pls mark brainliest
please help me with this question
Answer
777
Step-by-step explanation:
jnimimimimimim000
Answer: 777
Hope this helps!!
Sorry if it's not correct!!
If an article costs a store $17.45 and if it sells the article for $22.95, what percentage markup is it using?L
the area of a certain desert is nine times the area of another desert. if the sum of their areas is 30,000,000 sq miles. find the area of each.
Daisy is making lemonade with water and lemons. Based on the table below, how many lemons are needed for 24 oz. of water?
ANSWER NOW PLEASE
Write an equivalent
expression for
7(3 – X) + 15x
Answer:
21+8x
Step-by-step explanation:
7(3 – X) + 15x
21-7x+15x
21(-7x+15x)
21+8x
Answer:
-7x+15x+21
Step-by-step explanation:
what is the formula for finding the measure of each interior angle of a regular polygon
50pts!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
180(n - 2)
-------------
n
Step-by-step explanation:
Which expression is equivalent to-6(-2/3+2x)
A.-4-12x
B.- 4+2x
C. 4-12x
D. 4 + 12x
Answer:
4-12x
Step-by-step explanation:
-6(-2/3 + 2x)
Expand the bracket
12/3 - 12x
4 - 12x
Answer:
The Answer is C
APPLICATION
3. Use the first principle of derivatives to determine the equation of tangent to the
curve y = 1/radical7x at
x = 5
Answer:
[tex]\displaystyle y - \frac{\sqrt{35}}{35} = \frac{-\sqrt{35}}{350}(x - 5)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Coordinates (x, y)
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinatey₁ - y coordinatem - slopeAlgebra II
Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Calculus
Derivatives
The definition of a derivative is the slope of the tangent line.Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Chain Rule: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle y = \frac{1}{\sqrt{7x}} \\x = 5[/tex]
Step 2: Differentiate
[Function] Rewrite: [tex]\displaystyle y = \frac{1}{(7x)^\frac{1}{2}}[/tex][Function] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y = (7x)^{-\frac{1}{2}}[/tex][Derivative] Chain Rule [Function]: [tex]\displaystyle y' = \frac{-1}{2}(7x)^{-\frac{1}{2} - 1} \cdot \frac{d}{dx}[7x][/tex][Derivative] Simplify: [tex]\displaystyle y' = \frac{-1}{2}(7x)^{-\frac{3}{2}} \cdot \frac{d}{dx}[7x][/tex][Derivative] Basic Power Rule: [tex]\displaystyle y' = \frac{-1}{2}(7x)^{-\frac{3}{2}} \cdot 1 \cdot 7x^{1 - 1}[/tex][Derivative] Simplify: [tex]\displaystyle y' = \frac{-7}{2}(7x)^{-\frac{3}{2}}[/tex][Derivative] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y' = \frac{-7}{2(7x)^{\frac{3}{2}}}[/tex]Step 3: Find Slope of Tangent Line
Substitute in x [Derivative]: [tex]\displaystyle y'(5) = \frac{-7}{2[7(5)]^{\frac{3}{2}}}[/tex][Tangent Slope] [Brackets] Multiply: [tex]\displaystyle y'(5) = \frac{-7}{2[35]^{\frac{3}{2}}}[/tex][Tangent Slope] Evaluate exponents: [tex]\displaystyle y'(5) = \frac{-7}{2(35\sqrt{35})}[/tex][Tangent Slope] Multiply: [tex]\displaystyle y'(5) = \frac{-7}{70\sqrt{35}}[/tex][Tangent Slope] Simplify: [tex]\displaystyle y'(5) = \frac{-1}{10\sqrt{35}}[/tex][Tangent Slope] Rationalize: [tex]\displaystyle y'(5) = \frac{-\sqrt{35}}{350}[/tex]Step 4: Find Tangent Line Equation
Point (x, y)
Substitute in x [Function]: [tex]\displaystyle y(5) = \frac{1}{\sqrt{7(5)}}[/tex][Function] [√Radical] Multiply: [tex]\displaystyle y(5) = \frac{1}{\sqrt{35}}[/tex][Function] Rationalize: [tex]\displaystyle y(5) = \frac{\sqrt{35}}{35}[/tex]Define point: [tex]\displaystyle (5, \frac{\sqrt{35}}{35})[/tex]Equation
Substitute in variables [Point-Slope Form]: [tex]\displaystyle y - \frac{\sqrt{35}}{35} = \frac{-\sqrt{35}}{350}(x - 5)[/tex]Topic: AP Calculus AB/BC
Unit: Derivatives
Book: College Calculus 10e
can smby help me plz ?!
Answer:
i need these points sorry
Step-by-step explanation:
Liza gets paid $5.25 an hour to babysit her little cousins. Last weekend, she watched them for three hours on Friday, nine hours on Saturday, and seven hours on Sunday. How much money does her aunt owe her for her babysitting services? A. $99.85 B. $99.75 C. $95.00 D. $63.00
Answer:
B. $99.75
Step-by-step explanation:
The expression is 5.25(3+9+7) which is 99.75
Answer:
c
Step-by-step explanation:
need help with geometry
Answer:
20 degrees, 50 degrees, 80 degrees, 75 degrees, 60 degrees
Represent the equation: 2x + 3 = 11
Answer: x=4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
2x+3=11
so take 3 and subtract it from 11
you'll get 8
then take 2x and divide it by 8
= 4
In long division what is 246/8
Answer:
the answer is 30.75 or 30 1/4
Step-by-step explanation:
8 can't go into 2 so 8 will go into 24
8 can go into 24 3 times thats our first digit
then multiply 8 times 3 you will get 24 write that under 24
then subtract 24 from the original 24 you will get 0
bring down the 6 to where the 0 is try to divide 8 into three
because you can't u will add a 0 next to the three
that is how you get the 30
thats as much as I know sorry I used the calculator
Find the number that makes the ratio equivalent to 2:7.
6:?
Answer:
6:21
Step-by-step explanation:
2 was multiplied by 3, so 7 should also be multiplied by 3. The answer is 6:21. Hope this helps!
The polygons
are similar. Find the value of x.
S
X 1
9
the
R
X =
Can someone answer the question ??
HELPPPP PLEASE ANSWER THIS CORRECTLY AND U WILL GET BRAINLIEST WHAT IS THE SOLUTION TO THIS PROBLEM
Answer:
The other equation should be y= -5/3x +3 comment
if you have any questions
Step-by-step explanation:
Brainliest?!?!?
Answer:
Step-by-step explanation: ok so if 5x + 3y =9
then you have to subtract 3-x15= and then you will get your answer
Please help me with this please!!
Answer:
D
Step-by-step explanation:
Two forces with magnitudes 300 pounds and 450 pounds, with an angle of 60° between them, act upon an object. What is the approximate magnitude of the resultant force?
The resultant force in the example presented is approximately 774 pounds.
What is magnitude?The magnitude or size of a mathematical item defines whether it is larger or smaller than other objects of the same kind in mathematics.
Formally speaking, the size of an object is the visible outcome of an ordering—of the class of objects to which it belongs.
Consider the following scenario: the force is 10 N in the east.
The direction is indicated by "towards the east," while the force is indicated by "10."
Magnitude can be thought of as simply the "value" or "amount" of any physical quantity.
So, an object is under the influence of two forces with respective magnitudes of 300 pounds and 450 pounds and an angle of 60 degrees between them.
F₁=300 pounds, F₂=450 pounds and θ=60°
Fr=√300²+450²+2×300×450×cos60°
= √90000+502500+13500×0.5
= √90000+502500+6750
= √599250
= 774 pounds
Therefore, the resultant force in the example presented is approximately 774 pounds.
Know more about magnitude here:
https://brainly.com/question/24468862
#SPJ1
Answer: C. 653.91 pounds.
Step-by-step explanation:
Could someone help me with this question?
Answer:
Step-by-step explanation:
what muiltupication will give you 900
Answer:
900x0
Step-by-step explanation:
>:)
Answer:
100x9, 90x10, 22.5x40
Step-by-step explanation:
There is a lot more but you got to look it up
Find two numbers whose sum is 44 and whose difference is 6.
smaller number
larger number
Anyone know hurry help!! Carl bought 4 packs of gum with x pieces in each pack. How many pieces of gum did he buy?
Answer:4x pieces of gum
Step-by-step explanation: since you don't know how much x is, the answer includes the variable.
Please anyone help its due will give brainlist please
⦁ Explain the difference between a linear expression and a linear equation. Use your Reference Book or https://www.mathsisfun.com/.
⦁ Write two different linear expressions that are equivalent (both expressions should be equal but not look the same).
⦁ Show or explain why the two expressions in part b are equivalent.
Answer:
An expression is a number, a Variable or a combination of numbers and variables and operation symbols. An equation is made up of two expression connected by an equal sign I hope this help
1. If AABD - AHGE and AC and HF are angle
bisectors, find x.
B
G
F
24
. م
X
35
E
14
H
Answer:
9.6
Step-by-step explanation:
Find the diagram attached. Using the similarity theorem of triangles
AC/AD = FH/EH
Given
AC = 24
AD = 35
FH = x
EH = 14
Substitute into the formula
24/35 = x/14
Cross multiply
35×x = 24×14
35x = 336
x = 336/35
x = 9.6
Hence the value of x is 9.6
write an equation for the line that passes through (-4,1) and (-8,6)
Answer:
[tex]y=- \frac{5}{4}x-4[/tex]
Step-by-step explanation:
1) if the A has coordinates (-4;1) and B - (-8;6), then it is possible to write the formula of the required line:
[tex]\frac{X-X_A}{X_A-X_B} =\frac{Y-Y_A}{Y_B-Y_A};[/tex]
2) if to substitute the coordinates given in the condition, then:
[tex]\frac{X+4}{-8+4} =\frac{Y-1}{6-1};[/tex]
3) finally, the required equation of the line is:
-4y=5x+16; ⇔y= -5/4 x-4 (slope-intersection form)
PS. note, the suggested solution is not the only one.
A certain standardized tests math scores have a bell-shaped distribution with a mean of 530 and a standard deviation of 105. Complete part (a) through (c). (a) what percentage of standardized test scores is between 215 and 845. (b) what percentage of standardized test scores is less than 215 or greater than 845. (c) what percentage of standardized test scores is greater than 740.
How many kilometers are in 3 centimeters?
Answer:
0.00003km
....................
kilo means 1000
and centi means 1/100
Write a rule for the sequence. 1/9, 1/3, 5/9 Pls hurry Pls S's S's Sissies S's See fast