Answer:
m∠3 = 38.9°
Step-by-step explanation:
If all three angles of a triangle adds up to 180° (Triangle Sum Theorem), it is a right angle (meaning that one of the angle measures is 90°), and m∠1 = 51.1°, then:
m∠1 + m∠2 + m∠3 = 180° (Triangle Sum Theorem)
51.1° + 90° + m∠3 = 180° (Substitution Property of Equality)
141.1° + m∠3 = 180° (Addition Property of Equality)
m∠3 = 38.9° (Subtraction Property of Equality)
Review the steps of the proof of the identity
At which step was an error made?
step 1
step 2
step 3
step 4
The solutions to the trigonometric equation [tex]cos(\frac{\pi}{4} - x) = \frac{\sqrt{2} }{2} \cdot sin(x)[/tex] are;
{π/2, 3·π/2}
What is a trigonometric equation?A trigonometric equation is an equation involving trigonometric functions with the input of the function, represented by a variable. specified equation is presented as follows;
[tex]cos(\frac{\pi}{4} - x) = \frac{\sqrt{2} }{2} \cdot sin(x)[/tex]
The subtraction formula for the trigonometric ratios of cosine can be presented as follows;
cos(A - B) = cos(A)·cos(B) + sin(A)·sin(B)
Therefore;
cos(π/4 - x) = cos(π/4)·cos(x) + sin(π/4)·sin(x)
sin(π/4) = √2/2
Therefore;
cos(π/4 - x) = cos(π/4)·cos(x) + (√2/2)·sin(x)
cos(π/4 - x) = (√2/2)·sin(x)
cos(π/4)·cos(x) + (√2/2)·sin(x) = (√2/2)·sin(x)
cos(π/4)·cos(x) = (√2/2)·sin(x) - (√2/2)·sin(x) = 0
cos(π/4)·cos(x) = 0
cos(x) = 0/cos(π/4) = 0
x = arccos(0) = π/2 + n·π
Where n is an integer, therefore the values of the angle between 0, and 2·π are;
x = π/2 + π × 0 = π/2 and x = π/2 + 1 × π = 3·π/2
x = π/2 and x = 3·π/2
The solutions of [tex]cos(\frac{\pi}{4} - x) =\frac{\sqrt{2} }{2} \cdot sin(x)[/tex] are; {π/2, 3·π/2}Learn more on trigonometric identities here: https://brainly.com/question/29297432
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I don’t get it help
Answer:
I believe it would be → and →. These are considered rays (V and X) and they connect at W to form an angle.
#7-11 given two parallel lines find the values of the variables requested below.
Answer:
what the heck
Step-by-step explanation:
Given ABC = DEF
m
m
find m
9514 1404 393
Answer:
10
Step-by-step explanation:
Corresponding angles of congruent triangles are congruent.
angle B = angle E
3v +4 = 8v -6
10 = 5v
v = 2
Then the measure of angle B is
3v +4 = 3(2) +4 = 10 . . . measure of ∠B
Answer:
10
Step-by-step explanation:
I hope this helps and good luck
It costs $520.00 to buy 4 ounces of gold. How much would it cost to buy six tenths of an ounce of gold?
6oz=$780.00
If it costs $520.00 for 4oz you first divide both numbers by 4 which should leave you with 1oz=$130.00 if you then multiply both sides by 6 you end up with your answer 6oz=$780.00
Answer:
around like 700,000
Step-by-step explanation:
help this question why s really hard
Answer:
12 2/3
Step-by-step explanation:
I'm too lazy to give an explanation. Hope this helped though.
Evaluate
2
a
4
+
5
b
3
when
a
=
4
and
b
=
−
5
Answer:
-113
Step-by-step explanation:
2a^4+5b^3 --> 2(4)^4+5(-5)^3= -113
not 100% on this since its hard to understand the original equation (I'm assuming that the numbers after the variables are exponents)
Tomatoes and cucumbers were planted in the garden in the ratio 4:1 there if there 14 cucumber plants how many tomato plants are there
Answer:
56
Step-by-step explanation:
14 cucumbers multiplied by 4 is 56 tomatoes
The number of tomato plants is 56.
Important information:
Ratio of tomatoes and cucumbers is 4:1.Number of cucumbers is 14.Ratio:Let [tex]x[/tex] be the number of tomato plants. Then,
[tex]\dfrac{x}{14}=\dfrac{4}{1}[/tex]
On cross multiplication, we get
[tex]x\times 1=4\times 14[/tex]
[tex]x=56[/tex]
Therefore, the number of tomato plants is 56.
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Which radical expression is equivalent to c^1/2
Answer:
it would be √c
Step-by-step explanation:
when you have fractional exponets, the denominator becomes the radical that you want to find so in this case since its 2 it would be he nomal √ (remeber that when you have a √ with no numbers. it automatically indciates that there is a two) , the numerator of the fraction is the exponent of the number that is inside the radical so in reality it would be √c^1 but we don't write the exponent 1 so it would be √c
hipe this helps :)
Find the distance between the points.
(-1, -3) and (-1,0)
The distance is
Answer:
5.099
Step-by-step explanation:
Someone please answer at least one of the questions i beg you
Answer:
12: 21
13: A: 16/x^12
B: 9/x^8
Step-by-step explanation:
If you can buy one jar of sun-dried tomatoes for $4, then how many can you buy with $20? Round to the nearest whole number, if needed.
Answer:
5
Step-by-step explanation:
If you can buy one for $4
20/4 = 5
you can buy 5 cans
Answer:
He can buy 5 jars of sun-dried tomatoes
Step-by-step explanation:
all you have to do is divide 4 and 20 so you get 5!
I put a picture in Please help
Answer:
3 to 1
by dividing
Nathan plays Fortnite and has accumulated 380 solo wins over 2 days . His friend Debbie has 10 times fewer solo wins. How many solo wins does Debbie have?
Answer:
okay if nathan has 380 wins in 2 days that would mean debbie has 190 wins per day
Step-by-step explanation:
380 divide 2=190
An equation is shown below.
2-3x = 8
Which of the following shows a model of the equation and the value of x that makes the equation true?
How would you solve it
Answer:
Step-by-step explanation:
Classify each of the following variables as either categorical or numerical. For those that are numerical, determine whether they are discrete or continuous.
a. Number of students in a class of 35 who turn in a term paper before the due date.
b. Gender of the next baby born at a particular hospital.
c. Amount of fluid (in ounces) dispensed by a machine used to fill bottles with soda pop.
d. Thickness of the gelatin coating of a vitamin E capsule
e. Birth order classification (only child, firstborn, middle child, lastborn) of a math major
Answer:
a. Numerical (discrete).
b. Categorical.
c. Numerical (continuous).
d. Numerical (continuous).
e. Categorical.
Step-by-step explanation:
In Mathematics, a categorical data can be defined as a statistical data type that is used to group informations having the same attributes or characteristics. Some examples of a categorical data are age, gender, race, religion etc.
A numerical data can be defined as a data set that is expressed in numbers only or a data set consisting of numbers rather than words. A numerical data is also known as a quantitative data.
Basically, numerical data are classified into two (2) main categories and these are;
1. Discrete data: a discrete data is a data set in which the number of possible values are either finite or countable. For instance, the value of a fair die, number of sweets in a jar, number of eggs in a crate etc.
2. Continuous data: a continuous data is a data set having infinitely many possible values and those values cannot be counted, meaning they are uncountable. Any quantity such as height, volume, weight, density, length, pressure, temperature, speed, distance, time are generally a continuous data.
a. Number of students in a class of 35 who turn in a term paper before the due date: this is a numerical data and it is discrete in nature because the number of possible values are finite or countable.
b. Gender of the next baby born at a particular hospital: this is a categorical data because it contains a nominal variable (gender).
c. Amount of fluid (in ounces) dispensed by a machine used to fill bottles with soda pop: this is a numerical data and it is continuous in nature because the number of possible values are infinite or uncountable.
d. Thickness of the gelatin coating of a vitamin E capsule: this is a numerical data and it is continuous in nature because the number of possible values are infinite or uncountable.
e. Birth order classification (only child, firstborn, middle child, lastborn) of a math major: this is a categorical data because it is used to categorize an information (birth order).
okay i think this big enough for yall
Answer:
b(side length) = 15 centimeters
Step-by-step explanation:
Given an assumed regular rectangular prism which has a height of 18, and volume of 4050 cubic centimeters.
We are also given the formula b = (v/18)^1/2 which is said to find the side length of the rectangular prism. Therefore, it is implied that b must be the side length. Since we know everything except the side length we can substitute the volume since we are already given the height in the formula derived from the problem.
b = (4050/18)^1/2
b = (225)^1/2
b = 15
___________
We should also know that the volume of a rectangular prism is defined as V = l × w × h, with l as the length, w as the width, and h as the height, given that b is the side length which is multiplied by the width and height to get 4050, the base must be a square. Since 4050 = 15 × w × 18
4050 = 270 × w
4050/270 = w
15 = w
w = 15.
A square base is when the length and width are equal. Therefore this value has to be true.
As 15 × 15 × 18 = 4050.
Based on the graph, which inequality is correct for a number that is to the left of -4?
−8 > −4
−7 > −4
−6 < −4
−4 < −9
Option C is the correct answer
Answer:
C because the bigger the neg- the smaller the actual number is
Step-by-step explanation:
Please help me. Test tomorrow
Step-by-step explanation:
Hope I made them right cause I dont know what grade are you and dont know other lessons before this exercise!Hope I am right! :)
Write 68 447/1000 as a decimal number
Solve for x: –5x+3=2x-1
Answer:
x=1.2
Step-by-step explanation: take -5x and devide it by 2x. then - 3 from -1. -3 devided by -2.5 then it equalls x=1.2
Another way to write f(g(x)) is ____________.
Answer:
fog(X)
Step-by-step explanation:
it maybe help you to understand
3 2/5 * 1 1/2=
please help asap
Answer: 5.1
Step-by-step explanation:
At a pizza place, there are 13 pepperoni pizzas sold for every 7 cheese pizzas. What is the ratio of cheese pizzas to pepperoni pizzas?
Answer: 7:13
Step-by-step explanation:
There are 7 cheese pizzas sold for every 13 pepperoni pizzas sold
Answer:
7:13
Step-by-step explanation:
I NEED HELP WITH THESE PLEASE?
Answer:
59
Step-by-step explanation:
13 people take their driving test on the same day. 9 of them pass. What fraction of people didn’t pass?
Answer:
30.769230769231% or 4/13
Step-by-step explanation:
The fraction of people didn’t pass is 4/ 13.
We have,
Total number of people taking the test: 13
Number of people who passed: 9
So, the number of people who didn't pass
Number of people who didn't pass = Total number of people - Number of people who passed
Number of people who didn't pass = 13 - 9
Number of people who didn't pass = 4
So, the fraction of people didn’t pass
= 4/ 13.
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Solve.
2a + 3b = 5
b=a5
a = 4
b = -1
a = 4
b=1
Answer:
5 = 5 True
1 = 20 False
Step-by-step explanation:
Consider the hospital from problem 4 of the homework that is using a statistical test to decide whether or not to accept future shipments of syringes from a supplier. The two errors the can make are to reject shipments that are actually acceptable and to accept shipments that do not meet the requirements. The hospital has decided that the error of accepting shipments that do not meet the requirements is substantially more important. They would like to ensure that they do not make this error even if that means increasing the chance that they reject acceptable shipments. When selecting their alpha (choosing between 0.01, 0.05 and 0.10) which alpha level provides the highest protection against this type of error?
a) alpha-0.01
b) alpha-o.05
c) alpha-0.10
Answer:
The correct option is a
Step-by-step explanation:
Gnerally assuming that
The null hypothesis is that the syringes from a supplier does not meet the requirement
and
The alternative hypothesis is that the syringes from a supplier meets the requirement
Now in order not to commit type I error which is wrongfully rejecting the null hypothesis then the level of significance need to be lower than the p-value (this is obtained from the z-table for any given z-score ) hence the suitable level of significance to achieve the hospitals aim is alpha-0.01
Graph y = 1/x + 3 and identify the x-intercept
Answer:
x intercept is 6
y intercept is 3
Step-by-step explanation:
Solve for x
(3x + 2)
71
A) 28
C) 24
B) 23
D) 34
3x=71-2
3x=69
x=69/3
x=23