Answer:
D. 270º < x < 360º
Step-by-step explanation:
sin is negative in Quad III and IV
tan is negative in Quad II and IV
Therefor ∅ is in Qaud IV
270º < x < 360º
How many degrees is THETA?
NOTE: Diagram is not to scale.
Give numerical answer only, no units.
Answer:
θ = 104°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Define
Identify and set up
m∠A = 31°
m∠B = θ
m∠C = 45°
θ + 31° + 45° = 180°
Step 2: Find θ
Add: θ + 76° = 180°[Subtraction Property of Equality] Subtract 76° on both sides: θ = 104°Answer:
104
Step-by-step explanation:
All interior angles of triangles add up to 180. So, using the information we are given we can find the missing angle, theta. One way to do this by setting up an equation like 31+45+θ=180. Solve this to get 104, your final answer. If you want, you can check your work by plugging in 104, 31+45+104=180. Since 180=180, 104 must be correct.
The sum of a number and two times a smaller number is 62. Three times the bigger number exceeds the smaller number by 116.
Answer:
10 and 42
Step-by-step explanation:
The difficulty with word problems is translating them into math.
Let's do that
---------------------
The sum of a number and two times a smaller number is 62.
let's call the bigger number b, and the smaller number s
b + 2s = 62
Three times the bigger number exceeds the smaller number by 116
3b = s + 116
-----------------------
Now manipulate one of the equations to isolate the variable
3b = s + 116
Subtract 116 from both sides
3b - 116 = s
substitute for s = 3b - 116 in
b + 2s = 62
b + 2(3b - 116) = 62
Distribute
b + 6b - 232 = 62
combine like terms
7b = 294
Divide both sides by 7
b = 42
to find s plug in b = 42 into
b + 2s = 62
42 + 2s = 62
subtract 42 from both side
2s = 20
divide both sides by 2
s = 10
Select the equation that is parallel to: y = -4x + 5
A. y = 4x - 5
B. y = 1/4x - 5
C. y = -1/4x - 5
D. y = -4x - 5
Answer:
D.
[tex]y = - 4x - 5[/tex]
Step-by-step explanation:
This is because the slopes are the same
CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.
Answer:
11 2/3
Step-by-step explanation:
2 1/3 * 5
Change the mixed number to an improper fraction
2 /13 = ( 3*2+1)/3 = 7/3
7/3 * 5/1
35/3
Now change it back to a mixed number
3 goes back into 35 11 times with 2 left over
11 2/3
Answer:
11 2/3
Step-by-step explanation:
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
7/3 * 5/1
Applying the fractions formula for multiplication,
7*5 = 35, 3*1= 3 overall= 35/3
Simplifying 35/3, the answer is
= 11 2/3
PLEASE HELP ASAP,
I'LL MARK BRAINLIEST FOR CORRECT ANSWERS!
Describe in words the process of solving for x in triangle ABC.
Answer:
29.11
Step-by-step explanation:
This is clearly cos. So make an equation of cos equals 9 / x. Then use cross product to get x times cos equals 9. Finally divide by cos and use the calcuator to get x equals 29.11.
Please help me I tried and don’t get it ;(
Answer:
distributive
Step-by-step explanation:
Write a plan to prove that ∠1≅∠2.
Answer:
See attached
Step-by-step explanation:
The proof is in the attached picture.
Find a parabola with equation y=ax^2+bx+c that has a slope 10 at x=1, slope -26 at x=-1, and passes through the point (2,29)
9514 1404 393
Answer:
y = 9x^2 -8x +9
Step-by-step explanation:
The given equation has derivative ...
y' = 2ax +b
The requirements on slope give rise to two equations:
2a(1) +b = 10
2a(-1) +b = -26
Adding these equations together gives ...
2b = -16 ⇒ b = -8
Then we have ...
2a -8 = 10
a = (10 +8)/2 = 9
__
The given point lets us find the constant term c.
y = 9x^2 -8x +c
c = y -(9x -8)x = 29 -(9(2) -8)(2) = 29 -20 = 9
The equation of the parabola is ...
y = 9x^2 -8x +9
Use the chart to multiply the binomial by the trinomial.
The expression (y + 3)(y squared minus 3 y + 9) is shown above a blank table with 3 columns and 2 rows.
What is the product?
y3 + 27
y3 – 27
y3 – 6y2 + 27
y3 + 6y2 + 27
Answer:
A. y^3 + 27
Step-by-step explanation:
Ed22
Answer: A. y3+27
Step-by-step explanation:
y
[tex]y2 + \frac{4}{y} = 2 \\ [/tex]
Answer:
[tex] {y}^{2} + \frac{4}{y} = 2 \\ {y}^{3} + 4 = 2y \\ {y}^{3} - 2y + 4 = 0 \\ y = - 2, \: \: \: \: 1 + i[/tex]
PLZ ANSWER ASAP NEEDS CORECT ANSWER
Taylor is playing a video game. She earns 15 points when she completes Level 1. Each time she completes a level, she earns three times as many points as the previous level. How many points will Taylor earn when she completes Level 6? Enter your answer in the box.
Answer:
10,935
Step-by-step explanation:
lvl 1: 15 x 3=45
lvl 2: 45 x 3=135
lvl 3: 135 x 3=405
lvl 4: 405 x 3=1215
lvl 5: 1215 x 3=3645
finally lvl 6: 3645 x 3=10,935
Taylor will earn 3645 points when she completes level 6, using the geometric progression formed from the given information.
What is a geometric progression?A geometric progression is a series in which every number is the product of the previous number and a common ratio.
The first term of a geometric progression is represented as a.
The common ratio is represented by r.
The n-th term of a geometric progression (aₙ) is determined by the formula,
aₙ = arⁿ⁻¹.
How do we solve the given question?We are given that Taylor is playing a video game. She earns 15 points when she completes Level 1. Each time she completes a level, she earns three times as many points as the previous level.
We are asked to find the points she will earn when she completes level 6.
The given case can be seen as a geometric progression as the points collected after completion of every level are the product of the previous level's point and a common ratio of 3.
In this geometric progression, a = 15, and r = 3.
We need to find the point collected by Taylor when she completes level 6.
This is the 6th term of our geometric progression. We determine the 6th term using the formula of the n-th term of a geometric progression:
aₙ = arⁿ⁻¹.
∴ a₆ = (15)*(3)⁶⁻¹ = 15*3⁵ = 15*243 = 3645.
∴ Taylor will earn 3645 points when she completes level 6, using the geometric progression formed from the given information.
Learn more about a geometric progression at
https://brainly.com/question/12006112
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Ethan is installing a new tile backsplash in his kitchen. The tile he likes costs $3.50 per square foot. The area he is tiling is 36.5 square feet. How much will Ethan pay for the tile for his backsplash?
Answer:
$127.75
Step-by-step explanation:
Multiply the cost by the area to find the total cost
Graph the image of the figure using the transformation given.
Answer:
B
Step-by-step explanation:
The question says reflection across y = 1 so first find this line on the graph. It will be a horizontal line.
The Y axis is the vertical axis and so the 1 is the line right above the X axis.
So to reflect, it will be the same number away from the line when reflected as when it began on the opposite side of the line. So, S is one under the reflection line so it will be one above making its new point ( 2 , 2 )
Q is right on the line so it will not move.
R is two above the line so it will now be two below the line to have ( 3 , - 1 )
evaluate 3ac - a + 2b, if a=2, b=1 and c=4 pls help me thk u
A jar contains five red marbles and three green marbles. A
marble is drawn at random and not replaced. A second marble is
then drawn from the jar.
find the probability that both marbles are the same color
Answer:
I figured out that the probability that both marbles are red is 20/56 and the probability that both are green is 6/56. Then I added them together to get 26/56.
Hope this answer is right !
How many fifths are there in 6
Answer: 30
Step-by-step explanation:
there are 5 fifths in 1 hinting the name fifths
So that means there are 30 fifths in 6
please help me thanks
Answer: A) (-1, 3)
Step-by-step explanation:
When reflecting across the y-axis the y value of the point stays the same and the x values flips to it's opposite.
The point of A on ΔABC is (1, 3)
The x value is 1. The opposite value of 1 is -1 giving us the coordinates (-1, 3)
a study is planned to compare the proportion of men who dislike anchovies with the proportion of women who dislike anchovies. the study seeks to determine if the proportions of men and women who dislike anchovies are different. a sample of 41 men was taken and the p^ estimate for the true proportion of men who dislike anchovies was determined to be 0.67. a sample of 56 women was also taken and the p^ estimate for the true proportion of women who dislike anchovies was determined to be 0.84. are the requirements satisfied to perform this hypothesis test
Answer:
d. No because n·(1 - [tex]\hat p[/tex]) = 8.96 is less than 10
Step-by-step explanation:
Question options;
a. Yes because the sample sizes of both groups are greater than 5
b. Yes, because in both cases n·[tex]\hat p[/tex] > 10
c. Yes, because we know that the population is evenly distributed
d. No, because the n·(1 - [tex]\hat p[/tex]) is less than 10
Explanation;
The given data are;
The number of men in the sample of men, n₁ = 41
The proportion of men who dislike anchovies, [tex]\hat p_1[/tex] = 0.67
The number of women in the sample of women, n₂ = 56
The proportion of men who dislike anchovies, [tex]\hat p_2[/tex] = 0.84
The assumptions for an analysis of the difference between means using a T-test are;
1) The data should be from a random sample of the population
2) The variables should be approximately normal (n·[tex]\hat p[/tex] ≥ 10, and n·(1 - [tex]\hat p[/tex]) ≥ 10)
3) The scale of the data is a continuous ordinance scale
4) The sample size should be large
5) The sample standard deviations should be approximately equal
From the requirement for normality, we have;
For the sample of men, n₁·[tex]\hat p[/tex]₁ = 41 × 0.67 = 24.47 > 10
n₁·(1 - [tex]\hat p[/tex]₁) = 41 × (1 - 0.67) = 13.53 > 10
For the sample of women, n₂·[tex]\hat p[/tex]₂ = 56 × 0.84 = 47.04 > 10
n₂·(1 - [tex]\hat p[/tex]₂) = 56 × (1 - 0.84) = 8.96 < 10
Therefore, the for n₂·(1 - [tex]\hat p[/tex]₂), the sample does not meet the requirement for normality
The correct option is d. No because n₂·(1 - [tex]\hat p[/tex]₂) = 8.96 is less than 10
Simplify the expression. 7(-2-7k) +4 Show all work below
(yo please help me im failing math and I have 1 day left of school. ;-;)
==================================================
Work Shown:
7(-2-7k) + 4
7(-2) + 7(-7k) + 4
-14 - 49k + 4
-49k + (-14+4)
-49k - 10
In the second step, I distributed the outer 7 to each term inside. From there, I grouped and combined like terms, which were the -14 and 4.
anyone can tell that how to find the angles like <abc <bca like this
here is the photo
Answer:
Here
Step-by-step explanation:
So, AKH would be also 65 as well as AKX
how do you ifnd circumfranceof citlve
Answer:
The formula of the circumference of the circle
[tex]C =\pi D[/tex]
Step-by-step explanation:
To find the circumference of the circle follow the given steps.
1. Take a thread.
2. Fix one end of the thread at one point of the circle.
3. Move the thread along the length of the circle.
4. You reach the same fix end.
5. Measure the length of the thread.
6. It is the circumference of the circle.
The formula of the circumference of the circle
[tex]C =\pi D[/tex]
where D is the diameter of the circle.
116,02 LC)
Which of the triangles shown are obtuse triangles? (2 points)
A. Triangle A and Triangle B
B. Triangle B and Triangle D
C. Triangle C
D. Triangle A, Triangle B, and Triangle C
Answer:
Trangle B and D
Step-by-step explanation:
They look more than 90 degrees
If you earn $3250 per month and you expect your earnings to increase by 2.2% per year, how much do you think you will be making in 4 years?
Answer: $42546.9 will be the earning in 4 years.
Step-by-step explanation:
The equation for compound interest follows:
[tex]A=P(1+\frac{r}{100})^n[/tex]
where,
A = total amount
P = Principle amount
r = rate of interest
n = number of years
We are given:
Earnings earned per month = $3250
Earnings earned per year = ($3250 × 12) = $39000
The values become:
[tex]P=\$39000\\r=2.2\%\\n=4yrs[/tex]
Putting values in above equation, we get:
[tex]A=39000(1+\frac{2.2}{100})^4\\\\A=\$ 42546.9[/tex]
Hence, $42546.9 will be the earning in 4 years.
y-(-4) =m(x-(-5)) solve for m
Answer:
m = [tex]\frac{y+4}{x+5}[/tex]
Step-by-step explanation:
y-(-4) = m(x-(-5))
Simplify, distribute the negative sign outside of the parenthesis, remember negative times negative equals positive
y + 4 = m (x + 5)
Inverse operations, divide the equation by the value inside of the parenthesis
[tex]\frac{y+4}{x+5}[/tex] = m
Answer:
m=y+4x/x+5 your welcome !!
A theater group bought supplies to construct the
hardware cost $17.63.
to construct the set of a play. Lumber cost $145.86, paint cost $52.91, and
(c) What percent
of the total cost was the cost of the
Text
decimal rounded to the
paint and the hardware? Write your answer as a
nearest thousandth. Show
Show your work.
Answer:
Step-by-step explanation:
17.63+145.86+52.91=206.40
i have no clue what you really need the question is unclear
Which of the following is the converse of the statement "If it is my birthday,
then it is September"?
A. If it is not September, then it is my birthday.
B. If it is not September, then it is not my birthday.
O
C. If it is September, then it is not my birthday.
D. If it is September, then it is my birthday.
SUBMIT
Help
Answer:
D
Step-by-step explanation:
If it is September, then it is my birthday
The converse of the statement "If it is my birthday, then it is September" is If it is September, then it is my birthday option (D) is correct.
What is the converse of a statement?A conditional statement with the antecedent and effect reversed is known as a converse statement.
We have a statement:
"If it is my birthday, then it is September"
As per definition, the converse of the statement says antecedent and effect reversed is known as a converse statement.
We can converse the given statement as follows:
If it is September, then it is my birthday.
Thus, the converse of the statement "If it is my birthday, then it is September" is If it is September, then it is my birthday option (D) is correct.
Learn more about the converse of a statement here:
brainly.com/question/18152035
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Simplify the expression. 4^0
be careful i think this is a trick question
Answer:
1
Step-by-step explanation:
4^0
Any number raised to the 0 power is 1.
Answer:
1
Step-by-step explanation:
Anything raised to 0 is 1.
Helpppp !! I’m doing a final testtttttttttttttttttttttttttttttttttttttt!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
They are vertical
HURRY I NEED HELP!!!!!
State the number of complex roots and the possible number of real and imaginary roots for each equation. Then find all roots, be sure to show all work!
(equations are in the image below)
Answer:
hey mate here is ur answer:---------------------------------------------------1) f (x) = x 3 + 2x 2 - 8x first factor of x ------> x( x^2 +2x -8) = 0 -------> x = 0 and x^2 +2x -8 = 01) f (x) = x 3 + 2x 2 - 8x first factor of x ------> x( x^2 +2x -8) = 0 -------> x = 0 and x^2 +2x -8 = 0 Now, you find b^2 -4ac that in this case will be = 2^2 -4*1*(-8) = 4 + 32 = 36 it means this equation has 2 different real roots and will be (-b ±√b^2 - 4ac) / 2a ------> x = 2 , -4 as result #1 has 3 real roots such as 0,2,-4I hope this helps u have a nice day ✌#1
y=x³+2x²-8xy=x(x²+2x-8)y=x(x²+4x-2x-8)y=x(x+4)(x-2)roots
-4,0,2No complex roots
#2
x³+2x²+2=0x²(x+2)=-22 complex roots as if we graph it only x intercept we can get rest two roots are not real .
Check the graph
4 1/2 ounces per 3/4 miles
_____ ounces per 1 mile
Answer:
6 ounces
Step-by-step explanation:
Create a proportion where x is the number of ounces per 1 mile:
[tex]\frac{4.5}{0.75}[/tex] = [tex]\frac{x}{1}[/tex]
Cross multiply and solve for x:
4.5 = 0.75x
6 = x
So, the answer is 6 ounces
6 ounces
Step-by-step explanation:
Let the unknown number be x
[tex]4 \frac{1}{2} \: \: ounces = \frac{3}{4} \: \: miles \\ x = 1 \: \: mile[/tex]
Now simply use cross multiplication to solve it
[tex]4 \frac{1}{2} \times 1 = \frac{3}{4} x \\ \frac{9}{2} \times 1 = \frac{3}{4} x \\ \frac{9}{2} = \frac{3x}{4} \\ [/tex]
Now make x as the Subject
[tex] \frac{9}{2} = \frac{3x}{4} \\ \frac{9 \times 4}{2 \times 3} = x \\ \frac{36}{6} = x \\ 6 = x[/tex]
So the answer is
6 ounces