Answer & Step-by-step explanation:
For this problem, we will be using the tangent trig ratio because we are dealing with the opposite side and the adjacent side of the triangle. Although cosine may be a good ratio to use as well, it is not the best ratio to use because if you were to use the cosine ratio, you will have more steps to complete in order to solve the problem. Plus, we are not dealing with the hypotenuse side of the triangle. Therefore, it is best to use the tangent ratio because it is more efficient and it corresponds to the side lengths we are using.
On the next page, we are given a Venn Diagram. We are asked to tell the difference between finding the angle and finding the side. Then, we are asked to find the similarity between them.
When solving for the unknown side, you have to flip the equation because one of the sides will be known as a variable.
When solving for the unknown angle, you have to use the inverse of the trig ratio that you are using for that problem.
The similarity between the two is that they will always use one of the trig ratios.
A recipe requires 1.5 kilograms of eggs. How much is this in pounds? 0.15 0.7 1.5 2.2 3.3
Answer:
3.3 Pound
Step-by-step explanation:
in this problem we have to convert kilogram value to its equivalent pound value.
we know
1 KG = 2.205 Pound
since we have to find value of 1.5 kg
we multiply both LHS and RHS by 1.5
1 * 1.5 KG = 2.205 * 1.5 Pound
=> 1.5 KG = 3.307 Pound.
Since , in option value is rounded to 1 decimal place,
hence correct choice is 3.3 Pound
−5+(−5r)+10 answer plz
Answer:
-5r + 5
Step-by-step explanation:
We simply simplify by adding like terms. Only thing we can combine are the constants -5 and 10, which we get 5. So then our answer is -5r + 5.
Answer:
5(1-r)
Simplified expression 5-5r
Step-by-step explanation:
I need help with this problem, if anyone could help ASAP, that would be much appreciated. In the figure below, mROP = 125° Find the measure of each arc. For each arc, write two or more complete sentences explaining which theorem or postulate you used to find your answer. Include your equations and calculations in your final answer. find mRP, MQS, MPQR, and MRPQ
Answer:
see below
Step-by-step explanation:
mROP= 125°
mSOQ= mROP= 125°
mROQ=mPOS= 180°-125°= 55°
Sum of measures of all arcs in the circle= 2π
mRP= mQS=2π*125/360=25/36π
mQR=mPS=2π*55/360=11/36π
mPRQ= half circle= 2π/2= π
mRPQ= 2π-mQR= 2π- 11/36π= 61/36π
Which graph represents the solution to this system of inequalities? y 2x – 4 A. B. C. D.
Answer:
I mean you dont got no graph
Step-by-step explanation:
butttttt.....
The graph wit a straight line that intersects the y-axis at -4 and goes up by 2 and to tha right by 1.
Answer:
Theres no graph
Step-by-step explanation:
Bryan plans to save the same amount of money for 5 weeks. He wants to buy a new sweatshirt for $95 and a beanie for $30. How much money should he save each week to buy both items?
Answer:
$25
Step-by-step explanation:
95+30= 125
125/5= 25
**true or false**
all functions are relations but not all relations are functions
explain
Answer:
This is true
Step-by-step explanation:
because every function creates by making an one way relation. But relation makes from both side for that reason all relation are not function
Which must be true?
Answer:
PSC=PTC
They are the same angle
What is being constructed based on the markings in the following diagram?
-Inscribed regular hexagon
-Inscribed equilateral triangle
-Parallel lines
-Perpendicular lines
Parallel lines are being constructed based on the markings in the following diagram.
What are parallel lines?When two lines never meet each other even after extending them on the either side are called parallel lines.
What are the steps to draw parallel lines?1. First we have to draw a straight line and then any point of it draw any angle.
2. After that, on the second line take a point. Copy the first angle on it.
3. Draw the line to complete the copied angle and there you have parallel lines.
Hence, the construction indicated in the diagram is of parallel lines.
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Q1: Which pairs of expressions are equivalent (Choose all that apply.) *
14 - 9 and 14 + (-9)
18-6 and -18 + 6
-7-22 and 22-(-7)
3-30 and 3 + (-30)
10 - 5 and 5 - 10
Answer:
#'s 1 and 4
Step-by-step explanation:
1.) 14-9=5 and 14+(-9)=5
2.) 18-6=12 and -18+6=-12
3.) -7-22=-29 and 22-(-7)=29
4.) 3-30=-27 and 3+(-30)=-27
5.) 10-5=5 and 5-10=-5
In the proportion 15/3 = v/7 , which number is equal to y in the proportion ?
Answer:
3
Step-by-step explanation:
Answer:
y=3
Step-by-step explanation:
The graph of f(x) shown below resembles the graph of g(x)=x^3, but it has been vertically stretched. Which of the following could be the equation of f(x)?
Answer: it’s b
Step-by-step explanation:
I tried to do this but it makes it wrong :,(
Answer:
177.8cm
tell me if it's right :)
Step-by-step explanation:
Last week Fred had 47 dollars. He washed cars over the weekend and
now has 50 dollars. How much money did he make washing cars?
Answer:
fred made 3 dollars
Step-by-step explanation:
47+3=50
In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horizontal, what are the coordinates of point C? A. (2, -1) B. (5, -3) C. (2, -3) D. (7, -1)
Answer:
A.
[tex]Point\ C = (2,-1)[/tex]
Step-by-step explanation:
Given
[tex]A = (2,-6)[/tex]
[tex]B = (10,2)[/tex]
[tex]m:n = 5:3[/tex]
Required
Determine the coordinates of C
Since, point D divides line AB in ratio, 5 : 3;
We start by calculating the coordinates of D;
This is done as follows;
[tex]D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
Where
[tex](x_1,y_1) = (2,6)[/tex]
[tex](x_2,y_2) = (10,2)[/tex]
[tex]m:n = 5:3[/tex]
[tex]D(x,y) = (\frac{5 * 10 + 3 * 2}{5+3},\frac{5 * 2 + 3 * -6}{5+3})[/tex]
[tex]D(x,y) = (\frac{50 + 6}{8},\frac{10 - 18}{8})[/tex]
[tex]D(x,y) = (\frac{56}{8},\frac{-8}{8})[/tex]
[tex]D(x,y) = (7},-1)[/tex]
Since AC is vertical
Then, Point C has the same x coordinate as A
[tex]x-coordinate = 2[/tex]
Similarly;
Since CD is horizontal
Then, Point C has the same y coordinate as D
[tex]y-coordinate = -1[/tex]
Hence,
[tex]Point\ C = (2,-1)[/tex]
Answer:
Option A
Step-by-step explanation:
A. (2, -1)
SOMEONE PLEASE HELP!!!!!!!!!
Solve 2 x - 1 < 7 and 5x + 3 < 3.
A. {x l x < 0}
B. {x l x < 4}
C. {x l 0 < x < 4}
Answer:
Step-by-step explanation:
2x - 1 < 7
Add 1 to both sides
2x - 1 + 1 < 7+1
2x < 8
Divide both sides by 2
2x/2 < 8/2
x < 4
5x + 3 < 3
Subtract 3 form both sides
5x + 3 - 3 < 3-3
5x < 0
x < 0
x <4 & x < 0
So, solution ,
{x / x< 0 }
Answer:
A. {x l x < 0}
Step-by-step explanation:
2 x - 1 < 7 and 5x + 3 < 3.
Solve one inequality at a time
2 x - 1 < 7
Add 1 to each side
2 x - 1+1 < 7 +1
2x <8
Divide by 2
2x/2 <8/4
x <4
Now solve the other
5x + 3 < 3
Subtract 3
5x +3-3 < 3-3
5x<0
x <0
Recombine
x<4 and x<0
We go with the more restrictive and merge the overlapping interval since we have an and
x<0
PLEASE SOLVE! FIST CORRECT ANSWER GETS BRAINLIEST! Simplify using the distributive property: -0.1·(100a+10b-c)
Answer:
-10a - b + 0.1c
Step-by-step explanation:
We can distribute the -0.1 to 100a, 10b and -c.
-10a - b + 0.1c
That's all!
Hope this helps
Answer: -10a - b + 0.1c
Step-by-step explanation:
simplify 0.1 * 10b * -c
10a - b - 0.1 * -c
regroup terms.
-10a - b - ( - 0.1 * c )
remove parentheses
-10a - b + 0.1 * c
A recent survey found that 80% of jeans have back pockets, 65% have front pockets, and 48% have both back and
front pockets. Suppose a pair of jeans is selected at random and it is determined that it has front pockets. What is the
probability that a randomly selected pair of jeans with front pockets also has back pockets?
0.52
0.60
0.74
0.81
Answer:
.52
Step-by-step explanation:
its only a little bit over a 50% chance to get a front pocketed jean, then to also have back pockets is under 50% chance so when you even those it comes to .52
Answer:
.74
Step-by-step explanation:
On edge
Answer ASAP PLEASE WILL MARK BRAINLIEST
Answer:
Answer should be A
Step-by-step explanation:
-7/2 divided by 49/4
Change in temperature per hour would be found by dividing the change in temperature by the amount of time.
Rewrite the numbers as improper fractions and the answer would be d.
-49/4 / 7/2
A parent needs up to twelve students for a game. He needs no fewer than five male students.
Let x represent the number of female students and y represent the number of male students.
Select all inequalities that model this situation.
Answer:
you need more than or equeall to 5 male students. For girls u need less than or equeall to 7 female students.
In your own words, explain HOW to find the standard deviation of this data set. (20 points). What does the standard deviation tell you about this data? (20 points). Dr. Cwetna recorded all of the grades on a unit test on the chart below. plz somebody help I need this by today.
If Max is opening a bank account and he deposits $1500 and it has compound interest at a 9%, how much money will he have 8 years if the interest compounds semi-annually?
Answer:
$3,033.56
Step-by-step explanation:
(see attached for reference)
The formula for compound interest is given by
A = P [ 1 + (r/n) ]^(nt)
Where,
A = final amount (we are asked to find this)
P = principal = given as $1500
r = annual interest rate = 9% = 0.09
n = 2 (for compounding semi-annually)
t = time, given as 8 years
Substituting the above into the equation:
A = P [ 1 + (r/n) ]^(nt)
A = 1500 [ 1 + (0.09/2) ]^[(2)(8)]
A = 1500 [ 1.045) ]^[16]
A = $3,033.56
suppose that y varies inversely with x. use the information to find k, and then choose the equation of variation. x = 28 when y = 2 A. k=56, y 56/2 B. k = 14 y = x/14 C. k = 56, y = 56x D. k = 14. y = 14/x
Answer: A
Step-by-step explanation:
Given that y varies inversely with x, that is,
y ∝ 1/xyou will introduce constant k when the proportionality constant sign is changed to equality sign.y = k(1/x)when x = 28, y = 2substitute x and y into the formula to get k2 = k(1/28)open the bracket and cross multiplyk = 56substituting k back into equation givesy = 56/xoption A should be the answer. but it wasn't written clearlyWhich of the following is the appropriate notation when calculating
conditional probabilities?
P(
AB)
A. P(
AB) =
P(A)
o
B. P(AUB) = P(A) + P(B) - P(AB)
C. P(AB) =
P(
AB)
P(B)
D. P(
AB) = PC
PCB+ P(B) - P(AUD)
SUBMIT
PREVIOUS
Answer: P(AB) = 3/8
Step-by-step explanation:
You simply multiply P(AuB) by P(B)
3/7 * 7/8 = 3/8
Find the value of x and simplify completely. Just answer needed , not explanation
Answer:
x=(27)^2+y^2
=√729+y^2( root of 729+y^2)
= 27+√y^2
Answer:
x=9√10solution,
[tex] {y}^{2} = 3 \times 27 \\ {y}^{2} = 81 \\ y = \sqrt{81} \\ y = \sqrt{ {9}^{2} } \\ y = 9 \\ \\ {y}^{2} + {27}^{2} = {x}^{2} \\ or \: {9}^{2} + {27}^{2} = {x}^{2} \\ or \: 81 + 729 = {x}^{2} \\ or \: 810 = {x}^{2} \\ or \: x = \sqrt{810} \\x = 9 \sqrt{10} [/tex]
hope this helps...
Good luck on your assignment..
Express 3*(4*5) as a common fraction given a*b= ab/a+b .
Answer:3 ⋅ ( 4 ⋅ 5 ) = 23 a ⋅ b = a ( b a ) + b = a = 2
Step-by-step explanation:
The common fraction for the given expression is 60/47.
What is a fraction?A fraction represents part of a whole. When something is broken up into a number of parts, the fraction shows how many of those parts you have.
Given that an expression, 3*(4*5) such that, a*b= ab/a+b
Solving the expression as per the given formula,
4*5 = 4×5/(4+5) = 20/9
Now,
3*(4*5) can be written as, 3*20/9
Therefore,
3*20/9 = 3×20/9/(3+20/9)
= 20/3×9/47
= 60/47
Hence, the common fraction for the given expression is 60/47.
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Alexis wants to make a paperweight at pottery class. He designs a pyramid-like model with a base area of 100 square centimeters and a height of 6 centimeters. He wants the paperweight to weigh at least 300 grams. What is the lowest possible density of the material Alexis uses to make the paperweight?
Answer:
1 g/cm³
Step-by-step explanation:
Volume of the model:
V=1/3bh= 1/3*100*6= 300 cm³
Density= weight/volume= 300 g/300 cm³= 1 g/cm³
The lowest density is 1 g/cm³
Answer:
1.5 !
Step-by-step explanation:
oh khan academy :))
Solve for x by finding the missing side of the triangle. Round your answer to the nearest tenth.
Answer:
x≈14.28
Step-by-step explanation:
cos32° = 12/x
so : x= 12/cos32° = 12/0.84 = 14.28
WILL MARK BRAINLIEST! Identify and explain each example as Newton’s First, Second, or Third law of motion. I pull on the Earth because Earth pulls on me. Answer 1 Choose... The velocity of a falling object isn’t constant because Earth’s gravity exerts a force on it. Answer 2 Choose... If air resistance is ignored, the acceleration of a falling object is equal to the ratio of the force of gravity to mass. HELP PLZ!!!
Answer:
1.) Newton 3rd law
2.) Newton 1st law
3.) Newton 2nd law.
Step-by-step explanation:
1.) I pull on the Earth because Earth pulls on me. This can be identified as Newton 3rd law of motion. The law state that, in every action, there must be equal and opposite reaction.
As the earth pulls on you, the reaction to that action which is equal and opposite is you pulling back on earth.
2.) The velocity of a falling object isn’t constant because Earth’s gravity exerts a force on it. This can be identified by Newton 1st law of motion which state that: an object will continue to be at rest or in a linear motion except an external force act on it.
The velocity of a falling object suppose to be constant if there is no external force. But it isn’t constant because Earth’s gravity exerts a force on it.
3.) If air resistance is ignored, the acceleration of a falling object is equal to the ratio of the force of gravity to mass. This can be identified by Newton 2nd law of motion which state that: The rate of change in momentum is proportional to the applied force. Or
F = ma
Where F = applied force
M = mass of the object
a = acceleration
If air resistance is ignored,
F = mg
where g = acceleration due to gravity.
Answer:
1. Newton 3rd law
2. Newton 1st law
3. Newton 2nd law.
Step-by-step explanation:
Divide. Simplify(or reduce) 32 dived by seven eights
Answer:
32 divided by 7/8 is 36 and 4/7
Step-by-step explanation:
Think of 32 of a fraction, 32/1. What do you do when you divide fractions by fractions? You invert the fraction that you divide. So basically 32/1 times 8/7 which is 36 and 4/7.
Write the following Arithmetic Sequence using a Recursive Formula: an = -8 + 2(n - 1)
a. a1 = 2, an = an+1 - 8
b. a1 = -8, an = an+1 + 2
c. a1 = 2, an = an-1 - 8
d. a1 = -8, an = an-1 + 2
Answer:
d) a1 = -8, an = an-1 + 2
Step-by-step explanation:
The formule is:
an = a1 + r*(n - 1)
So:
an = -8 + 2(n - 1)
a1 + r*(n - 1) = -8 + 2(n - 1)
⇒ a1 = - 8 ∧ r = 2
Finally:
r = an - an-1
an = 2 + an-1
The arithmetic sequence using a Recursive Formula is defined as
aₙ = a₍ₙ₋₁₎+2
What is the Recursive Formula?A recurrence relation is an equation that uses a rule to generate the next term in the sequence from the previous term or terms.
Given that, Arithmetic Sequence defined by a Recursive Formula:
aₙ = -8 + 2(n - 1)......(i)
The explicit formula of an AP is
aₙ = a₁ + (n-1)d
Comparing the equations, we get,
a₁ = -8 and d = 2
Now, the recursive formula of an AP is
aₙ = a₍ₙ₋₁₎ +d
Put d = 2,
aₙ = a₍ₙ₋₁₎ +2
Hence, The arithmetic sequence using a Recursive Formula is defined as aₙ = a₍ₙ₋₁₎+2
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