Answers
Here, we want to get the measure of the angle marked A
We are going to use the sides given
The trigonometric ratio that links the adjacent to the hypotenuse is the cosine
The cosine is the ratio of the adjacent to the hypotenuse
Mathematically;
[tex]\begin{gathered} \cos \text{ m}\angle CAB\text{ = }\frac{12}{15} \\ \\ m\angle CAB\text{ = }\cos ^{-1}(\frac{12}{15}) \\ \\ m\angle CAB\text{ = 36.87} \end{gathered}[/tex]Related Questions
Does coordinates s or coordinate t represent a greater number in the following
parallelogram?
(-2,3)
(s, -1)
(0, -1)
(t, 3)
Answers
Thus, t has a greater value than s for the co-ordinates (s, -1) and (t, 3).
How to analyze points of an axis for a two dimensional entity?
We can use the fact that both points on the x-axis to compare the values of s and t for the provided parallelogram. As a result, each point that is closest to the x coordinate reflects a higher value than its equivalent counterparts.
Given, the co-ordinates of the parallelogram are: (-2, 3), (s, -1), (0, -1),
(t, 3).
Also, the co-ordinates of the parallelogram are also shown in the figure below.
To compare for the values of s and t for the given parallelogram,
we can analyze that both s and t represent points on the x-axis, therefore any point that stands rightmost with the x co-ordinate represents a higher value than the corresponding counterparts.
Therefore, t has a greater value than s for the co-ordinates (s, -1) and (t, 3), since t is on the right side from s.
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so far carmella has collected 14 boxes of baseball cards there are 315 cards in each box carm,ella estimsates that she has about 3,000 cards so she buys 6 albuns that hold 500 cards each.how many cards does carmella have?
Answers
Carmella has 9 albums and 4410 cards.
A unitary method is defined.The unitary approach involves calculating the value of a single unit, from which we can calculate the values of the necessary number of units.
Due to that,
There are 315 cards in each box.
14, the number of boxes.
(b) Total number of cards is the sum of the boxes plus the number of cards in each box.
= 14 × 315
= 4410
(a) Carmella purchased a six-album set of 500 cards since she thought she had 3,000 cards. Six albums are not enough because she calculated the quantity of cards incorrectly. There are 4410 cards in total, but she thought there were only 3000.
(c). Total number of albums required = [tex]\dfrac{Total number of cards}{Number of card 1 album can hold}[/tex]
= [tex]\frac{4410}{500}[/tex]
= 8.82 ≅9
Carmella have 4410 cards, 9 albums.
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of estion Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. 60° X y 93 2 y
Answers
The 30-60-90 ratio is a special right triangle that always has angles with measures: 30º, 60º, and 90º. Its side lengths have also the same relationship one with another.
For any 30-60-90 the ratio is as follows:
The side opposite to the 30º angle has length: z
The side opposite to the 60º angle has a length z√3
The side opposite to the 90º angle has a length: 2z
Following these ratios, you can determine the side lengths of the triangle.
The measure opposite to the 60º angle is z√3 = 9√3 → From this we can determine the value of z, which is z=9
Once we know the value of z, we can calculate the values of the sides opposite to the other angles.
The side opposite to the 30º angle is y= z= 9
The side opposite to the 90º angle is x= 2z= 2*9 = 18
Question Below: It's about functions
Answers
Based on the calculations, the value of function g(f(x)) is equal to: g(f(x)) = x + 10.
What is a function?A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for uniquely mapping an input variable (x-value) to an output variable (y-value).
In this exercise, you're required to determine the value of g(f(x)) and we are given the following functions:
f(x) = (x + 3)² ........function 1.
g(x) = √x + 7 ........function 2.
Next, we would substitute function 1 into function 2 as follows:
g(f(x)) = √((x + 3)²) + 7
g(f(x)) = (x + 3) + 7
g(f(x)) = x + 3 + 7
g(f(x)) = x + 10
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circumference =33.5, find radius, diameter, area
(CIRCLE)
Answers
Answer: Radius = 5.33
Diameter = 10.66
Area = 89.3
Step-by-step explanation:
Circumference = 2πr
33.5 = 2πr
r = 33.5 / 2π
Diameter = 2r
Area = r²π
Area = 5.33²π
what is the range of the function g(x) = -(x+ 2)^2+ 4
Answers
g(x) =-(x+2)2+4
To find the x-intercept, set y = 0
-(x+2)2+4=0
Solve the equation
x=-4 or x = 0
A 90% confidence interval is found to be (72, 78). What is the margin of error?
Answers
In order to find the margin of error, we need to know that the width of the confidence interval is equal to 2 times the margin of error.
The width of this confidence interval is given by:
[tex]\begin{gathered} width=upper\text{ }limit-lower\text{ }limit\\ \\ width=78-72\\ \\ width=6 \end{gathered}[/tex]If the width is 2 times the margin of error, we have:
[tex]\begin{gathered} width=2\cdot E\\ \\ 6=2\cdot E\\ \\ E=\frac{6}{2}\\ \\ E=3 \end{gathered}[/tex]The margin of error is equal to 3, therefore the correct option is D.
Find the perimeter of the figure shown. Round your answer to the nearest centimeter. This is for problem number 9
Answers
5. Follow the rule to find the next three numbers in the pattern. Describe
the pattern using the terms even and odd.
Add 5: 1, 6, 11,
Answers
Any integer that cannot be divided into twos is considered an odd number. Five computers, for instance, cannot be arranged in pairs only. 5 is therefore an odd number.
The next three numbers in the pattern is 16,21,26. The pattern is odd.
What is odd and even numbers?Any integer that cannot be divided into twos is considered an odd number. Five computers, for instance, cannot be arranged in pairs only. 5 is therefore an odd number.
An even number is one that can be divided by two and leaves residue of zero. The even numbers include 2, 4, 6, 8, 10, and so on. Let's say, for instance, that you have ten chocolates. There are two groups of these chocolates that each include five chocolates. Ten is therefore an even number.
An even number is produced by adding two even numbers. In this case, 12 + 8 equals 20.
Odd numbers are created by adding odd numbers to even numbers. For example, 6 + 7 equals 13.
The outcome of adding two odd numbers is an even number. For an instance, 15 + 11 = 26.
Now for the above question,
The next three numbers: 16, 21, 26.
Number pattern is odd, because 5 is odd number.
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Rectangle ABCD is shown. What is the length of diagonal BD? Round to the nearest tenth if needed
Answers
THe diagonal, BD divides the rectangle into two right angle triangles.
BD represents the hypotenuse
BC represents the opposite side
DC represents the adjacent side
We would determine BD by applying the pythagorean theorem which is expressed as
[tex]\begin{gathered} \text{hypotenuse}^2=oppositeside^2+adjacentside^2 \\ BD^2=7^2+12^2=49\text{ + 144 = 193} \\ BD\text{ = }\sqrt[]{193} \\ BD\text{ = 13.9 } \end{gathered}[/tex]The length of the diagonal, BD is 13.9m to the nearest tenth
SOMEONE HELP ME ASAP PLEASE!!!!
Find all values of n for which the equation has two complex (non-real) solutions.
3z² - 9z = (n − 3)
-
Write your answer starting with n, followed by an equals sign or inequality symbol (for
example, n < 5). Reduce all fractions.
Answers
For a quadratic [tex]ax^2+bx+c[/tex], the sign of its determinant, given by
[tex]\Delta = b^2 - 4ac[/tex]
"determines" the nature of its roots. In particular, if [tex]\Delta<0[/tex], then the quadratic has two distinct non-real roots.
Now, we have
[tex]3z^2 - 9z = n-3 \implies 3z^2 - 9z - (n-3) = 0[/tex]
with determinant
[tex]\Delta = (-9)^2 - 4\cdot3(n-3) = 117 - 12n[/tex]
Solve for [tex]n[/tex] such that [tex]\Delta<0[/tex].
[tex]\Delta = 117 - 12n < 0 \implies 12n > 117 \implies n > \dfrac{117}{12} \\\\ ~~~~ \implies \boxed{n > \dfrac{39}4}[/tex].
Find the total cost of 12 boxes of cookies if each box costs $3.
Answers
each box costs $3 : The cost of one box = $3
12 boxes of cookies : The total number of boxes = $12
For the total cost of 12 boxes : Multiply the cost of one box by the number of boxes
The total cost of 12 boxes = 12 x $3
The cost of 12 boxes = $36
The cost of 12 boxes of cookies ia $36
Answer : $36
A Banks loan officer rates applicants for credit the ratings can be described by a normal model with a mean of 200 and a standard deviation of 50. If an applicant is selected what percentage can be between 200 and 275?
Answers
Answer:
43%
Step-by-step explanation:
You want to know the percentage of applicants having a rating between 200 and 275, given that applicants have ratings normally distributed with a mean of 200 and a standard deviation of 50.
Area under the Normal PDFThe given percentage can be found using a spreadsheet, suitable calculator, or table of values of the Normal probability function. The attached calculator display shows the percentage to be ...
0.433 × 100% = 43.3%
About 43% of applicants will have a rating between 200 and 275.
you have 27 teaspoons of peppercorns you need 0.25 teaspoons make one serving of beef brisket how many servings can you make
Answers
Given:
Total Number of teaspoons of peppercorns = 27
Amount of teaspoons you need for one serving of brief brisket = 0.25
Let's find the amount of servings can be made.
To find the amount of servings that can be made, apply the formula:
[tex]\text{Number of servings = }\frac{TotalNumber\text{ of teaspoons}}{Teaspooons\text{ for one brisket}}\text{ }[/tex]Thus, we have:
[tex]\begin{gathered} \text{Number of servings = }\frac{27}{0.25} \\ \\ \text{Number of servings = }\frac{27}{\frac{25}{100}} \\ \\ \text{Number of servings = }\frac{27}{25}\ast100=1.08\ast100=108 \end{gathered}[/tex]Therefore, 108 servings can be made.
ANSWER:
108
An object is dropped from 34 feet below the trip of the pinnacle atop a 710 fr tall building. The height h if the object after t seconds is given the equation h=-16t to the power of 2 +676 find how many seconds pass baffle the object reaches the ground
Answers
Setting h=0 and solving for t we get:
[tex]\begin{gathered} 0=-16t^2+676, \\ 16t^2=676, \\ t^2=\frac{676}{16}, \\ t^2=42.25 \\ t=\pm\sqrt[]{42.25}. \end{gathered}[/tex]Since t<0 does not have real meaning, we get that:
[tex]t=6.5.[/tex]Answer: 6.5 seconds.
(5)(3) - (2-7) divided by 4?
Answers
Answer:
Step-by-step explanation:
Answer:
[tex]{ \tt{(5)(3) - (2 - 7) \div 4}}[/tex]
- We are going to simplify the expression using BODMAS
B stands for BracketsO stands for OfD stands for DivisionM stands for MultiplicationA stands for AdditionS stands for Subtraction- From our expression, relating it to BODMAS, Brackets come first, so let's first operate the brackets
[tex] = { \tt{(5 \times 3) - ( \frac{2 - 7}{4}) }} \\ \\ = { \tt{15 - ( - \frac{5}{4} )}} \\ \\ = { \tt{15 + 5 \div 4}}[/tex]
- Then in our last expression, Division comes next
[tex] = { \tt{15 + \frac{5}{4} }} \\ [/tex]
- Then addition comes last
[tex] = { \tt{ \frac{65}{4} }} \\ [/tex]
- Simplifying our answer into mixed fraction and decimal format;
[tex] = { \tt{16 \frac{1}{4} \: \: or \: \: 16.25}}[/tex]
[tex]{ \boxed{ \delta}}{ \underline{ \mathfrak{ \: \: beicker}}}[/tex]
1.) You are one of five people who have been hired to mow the lawn at the local college. Each week, the dimensions of the plot you are responsible to mow changes. The college conducts a lottery, and whichever number is drawn, represents the x value. Your plot has a length which is five more than two times x and the width is three less than three times x. a.) What are the dimensions of your mowing plot? (2 points) Length: ______________________________________ Width: ______________________________________ x=13 meters
Answers
The dimensions of your mowing plot if x = 13 meters is;
Length = 31 meters
Width = 36 meters
How to solve Algebra Word Problems?We are told that Your plot has a length which is five more than two times x and the width is three less than three times x
This means that, the length given as words is "5 more than 2 times x" and the width given as words is "3 times x minus 3"
The expression for length would be 2x + 5
The expression for width would be 3x - 3
Now, if x = 13 meters, then we see that;
Length = 2(13) + 5 = 31 meters
Width = 3(13) - 3 = 36 meters
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The graph to the right is the uniform probability density function for a friend who is x minutes late.
(a) Find the probability that the friend is between 10 and 20 minutes late.
(b) It is 10 A.M. There is a % probability the friend will arrive within how many minutes?
Answers
Using the uniform distribution, it is found that:
a) The probability that the friend is between 10 and 20 minutes late is of 1/3.
b) There is a 30% probability that the friend will arrive within 9 minutes.
Uniform distributionThe uniform has two bounds, a and b, and each outcome of the distribution is equally as likely.
From the image given at the end of the answer, the bounds are given as follow:
a = 0, b = 30.
The probability of finding a value between c and d in the distribution is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
Hence, the probability that the friend is between 10 and 20 minutes late is given as follows:
P(10 <= X <= 20) = (20 - 10)/(30 - 0) = 1/3.
The 30th percentile of the distribution, which is what item b is asking, is given as follows:
0.3 x (30 - 0) = 0.3 x 30 = 9 minutes.
Missing informationThe complete problem is given by the image at the end of the answer.
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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the graphs with the absolute value relations they represent
Answers
Given
Answer
The graph is given by y = -3/2|x|
The graph of |y| = x/2
The graph of y = |x|
The graph of -1/2 |y| = x
How can you write the expression (28 + 70) as a multiple of a sum of whole numbers with no common factor?
Answers
The expression (28 + 70) as a multiple of a sum of whole numbers with no common factor is given as
7x(4+10). This is further explained below.
What is an expression?Generally, An express is a finite combination of symbols that have been formed according to principles that rely on the context in which it is used. In mathematics, an expression is also known as a mathematical expression.
In conclusion, When expressed as a multiple of a total of whole numbers that do not have a common component, the equation (28 + 70) is written as 7 times (4 + 10).
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2) At a party, Karen notices the amount songs being played. The chart shows wh she figured out. Number of hours 50 Number of songs VSJ 3 4 5 6 60 80 A. 85 C. 100 After five hours, how many songs were played? 120 B. 90 D. 110
Answers
Answer:
C. 100
Step-by-step explanation:
If 60 songs are played in 3 hours, 80 songs in 4 hours, and 120 songs in 6 hours, you want to know the number played in 5 hours.
Linear functionConsidering the rate of change of songs per hour, we find ...
hours 3-4: 80-60 = 20 songs, over the 1-hour period
hours 4-6: 120 -80 = 40 songs, over the 2-hour period
It appears that the number of songs being played is steady at 20 songs per hour. Then 5×20 = 100 songs were played in 5 hours.
Evaluate (10 – 41) ÷ (5 + 1).
Answers
Step-by-step explanation:
option B is correct answer
I need help solving for x assume that lines which appear tangent are tangent
Answers
SOLUTION:
Case: Secant secant theorem
Secant-Secant Power Theorem: If two secants are drawn from an external point to a circle, then the product of the measures of one secant's external part and that entire secant is equal to the product of the measures of the other secant's external part and that entire secant
Method:
[tex]\begin{gathered} 7(7+x+6)=8(8+x+2) \\ 7(x+13)=8(x+10) \\ 7x+91=8x+80 \\ 91-80=8x-7x \\ x=11 \end{gathered}[/tex]Final answer:
x = 11
If f(x) = -x-11, find -3f(5) x f(2)
Answers
Given the function :
[tex]f(x)=-x-11[/tex]we need to find the value of 3f(5) x f(2)
so, to find the value of f(5), substitute with x = 5 at the given function
And to find the value of f(2) , substitute with x = 2 at the given function
so,
[tex]\begin{gathered} f(5)=-5-11=-16 \\ \\ f(2)=-2-11=-13 \\ \\ 3f(5)\cdot f(2)=3\cdot-16\cdot-13=624 \end{gathered}[/tex]need help!! algebra 1
Answers
Answer:
Step-by-step explanation:
6a) f(1)=-3
b) x=-5 x=-1 x=1
:]
show each quadratic equation by factoring (show your solution)
7x^2+25x+12
PLEASE HELP
Answers
Answer:or a polynomial of the form
a
x
2
+
b
x
+
c
, rewrite the middle term as a sum of two terms whose product is
a
⋅
c
=
7
⋅
−
12
=
−
84
and whose sum is
b
=
25
.
7
x
2
−
3
x
+
28
x
−
12
Factor out the greatest common factor from each group.
Tap for more steps...
x
(
7
x
−
3
)
+
4
(
7
x
−
3
)
Factor the polynomial by factoring out the greatest common factor,
7
x
−
3
.
(
7
x
−
3
)
(
x
+
4
)
Step-by-step explanation:
Find and simplify each of the following for f(x) = 4x2 - 5x + 7.(A) f(x + h)(B) f(x +h)-f(x)f(x+h) – f(x)(C)h
Answers
(A) f(x+h)
[tex]\begin{gathered} f(x+h)=4(x+h)^2\text{ - 5(x + h) + 7} \\ =\text{ 4(x + h)(x + h) - 5x - 5h + 7} \\ =4(x^2+2xh+h^2)\text{ - 5x - 5h + 7} \\ =4x^2+8xh+4h^2\text{ - 5x - 5h + 7} \end{gathered}[/tex](B) f(x + h) - f(x)
[tex]\begin{gathered} =4x^2+8xh+4h^2\text{ - 5x - 5h + 7 - }(4x^2\text{ - 5x + 7)} \\ =4x^2+8xh+4h^2-5x-5h+7-4x^2\text{ + 5x - 7} \\ =4x^2-4x^2-5x+5x+7-7+8xh+4h^2\text{ - 5h} \\ \text{ = 0 + 0 + 0 + 8xh + 4h}^2\text{ - 5h} \\ =8xh+4h^2\text{ - 5h} \end{gathered}[/tex](C)
[tex]\begin{gathered} =\text{ }\frac{f(x+h)\text{ - f(h)}}{h} \\ =\text{ }\frac{8xh+4h^2\text{ - 5h}}{h} \\ =\text{ }\frac{8xh}{h}\text{ + }\frac{4h^2}{h}\text{ - }\frac{5h}{h} \\ =\text{ 8x + 4h - 5} \end{gathered}[/tex]Hello what is ALL of the answers to this question
Answers
Answer
The function that describes the height of the rocket in terms of the is
[tex]h(t)=-16t^2+224t+68[/tex]
The table below gives the material of each item in Maria’s jewelry box. These are the only items in Maria’s jewelry box. Give the contra positive
Answers
The contra positive of the conditional statement is given as follows:
If an item is not made from copper, then it is not a pendant.
How to find the contra positive of a conditional statement?A conditional statement is modeled as follows:
p -> q.
In which:
p is the hypothesis.q is the conclusion.Hence the statement is read as:
If p then q.
The contra positive of the statement is given by:
~q -> ~p.
Hence it is read as:
If not q, then not p.
In the context of this statement, the hypotheses and the conclusion are given, respectively, by:
p: Item is a pendant.q: Item is made from copper.Hence the contra positive of the statement is:
If an item is not made from copper, then it is not a pendant.
What is the missing information?The statement is missing and is given as follows:
"If an item is a pendant, then the item is made from copper".
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help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Hello!
For a line with slope '0':
⇒ the equation is 'y = y-coordinate of point that the line passes through'
Since the line passes through (-1, -4) and has the slope of '0'
⇒ y = -4
Hope that helps!