Answers
39.81
[tex]\bold{EXPLANATIONS:}[/tex]
Answer:
39.8°
Step-by-step explanation:
Soh Cah Toa
Soh: sine = opposite / hyp
Cah: cos = adj / hyp
Toa: tan = opp / adj
You have 2 sides so you would use tangent
tan θ = 5/6
tan^-1 (5/6)
= 39.8°
Related Questions
URGENT PLEASE HELP !
Answers
Answer:
8/4 Square Inches
Step-by-step explanation:
I think so
Ax+By=C
Use integers for A,B, and C
y+5=4(x-2)
Answers
y + 5 = 4x - 8
y = 4x - 3
-4x + y = - 3
-1(-4x + y = - 3)
4x - y = 3
What amount of money must you invest at 6.8% compounded monthly, in order to have $10,000 after 10 years? Round your answer to the nearest dollar.
Answers
The amount of money which is invested at 6.8% compounded monthly, in order to have $10,000 after 10 year is $5076.
What is compound interest?
Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
The rate of interest is 6.8% on the amount which is compounded monthly
The value of final amount is $10,000 after the time period of 10 years. There are total 12 months a year. Thus, the value of principal amount using the above formula is,
[tex]10000=P\times\left(1+\dfrac{6.8}{12\times100}\right)^{12\times10}\\10000=P\times1.97\\P=\dfrac{10000}{1.97}\\P=5076.14\\P\approx5076[/tex]
Thus, the amount of money which is invested at 6.8% compounded monthly, in order to have $10,000 after 10 year is $5076.
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Write the equation for function g(x)
Answers
Answer:
g(x) = (x + 2)^2 + 1
Step-by-step explanation:
From the graph/image that you have provided said translated shift of
f(x) -> g(x)
f(x) = x^2 , g(x) = a(x -h)^2 +k
h is shift right/left
k is shift up/down.
It appears that the shift is left 2 and up 1.
h = -2 and k = 1
g(x) = (x - (-2))^2 +1
g(x) = (x + 2)^2 + 1
A 10 ounce can of peaches cost $2.40 in a 25 ounce can of peaches cost $4.80 what is the unit price of the 25 ounce can of peaches
Answers
Unit price = total price / size
unit price for 25 ounce can :
$4.80 / 25 ounces = $0.192 per ounce
A company selling products online held a survey asking a group of people about the number of products they ordered online in a month. The table below shows the results of the survey.
Products Ordered
Number of Products Number of People
0 4
1 6
2 3
3 4
4 5
Number of Products Number of People
5 3
6 3
7 2
8 2
9 1
Which dot plot best displays the data in the table?
Answers
Answer:
wed need to see an attatchment of the dot displays to give you an answer friend
If tan x = 1/2 , find sin x
The values of x are in between 0 and 2π
Answers
The equation tan(x) = 1/2 is an illustration of a trigonometry ratio
The value of sin(x) is sin(x) = ±1/√5
How to determine sin (x)?The tangent ratio is given as:
tan(x) = 1/2
The tangent ratio is calculated using:
tan(x) = opposite/adjacent
So, we have:
Opposite = 1 and adjacent = 2
Calculate the hypotenuse using:
Hypotenuse² = Opposite² + adjacent²
The equation becomes
Hypotenuse² = 1² + 2²
Hypotenuse² = 5
Take the square root of both sides
Hypotenuse = ±√5
The sine ratio is:
sin(x) = Opposite/Hypotenuse
So, we have:
sin(x) = ±1/√5
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Scarlett is designing a package for a candy her company makes. She has cut several cardboard equilateral triangles, squares, rectangles, and regular pentagons to try out her ideas for the package. Which 3-D figure and combination of shapes can Scarlett use?
Equilateral triangle prism with two equilateral triangles and three rectangles
Pentagonal prism with one pentagon and five rectangles
Rectangular prism with four rectangles
Square prism with four squares
Answers
To create a 3D figure, Scarlett can use two equilateral triangles and three rectangles, which leads to an equilateral triangle prism.
What is a prism?This is a solid or 3D figure that has two faces made up of polygons.
How to create different prisms?Square prism: Six squares.Rectangular prism: Two squares and four rectangles.Pentagonal prism: Two pentagons and five rectangles.Equilteral triangle prism: Two equilateral triangles and three rectangles.Learn more about geometrical figures in: https://brainly.com/question/2778048
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Answer: The answer is Equilateral triangle prism with two equilateral triangles and three rectangles
Step-by-step explanation:
I took the test
Oh and I am good like that.
3cot^(2 )x-1=0
Pls Help
Answers
Answer:
[tex]x=\frac{\pi }{6} ,\frac{7\pi }{6}[/tex]
Step-by-step explanation:
[tex]3*cot^2x-1=0\\\\3*cot^2x=1\\\\cot^2x=\frac{1}{3} \\\\cot(x)=\sqrt{\frac{1}{3} } \\\\cot(x)=\frac{1}{\sqrt{3} } \\\\\frac{1}{tan(x)}=\frac{1}{\sqrt{3} } \\\\tan(x)=\sqrt{3} \\[/tex]
x=tan^-1([tex]\sqrt{3}[/tex])
It has to be in Quadrant 1 [tex]\frac{+}{+} =+[/tex] or 3 [tex]\frac{-}{-}=+[/tex] for positive.
[tex]x=\frac{\pi }{6} ,\frac{7\pi }{6}[/tex]
Unless that incorrect due to tan(x) range is [tex]-\frac{\pi }{2} \leq x\leq \frac{\pi }{2}[/tex]. Then the only answer is [tex]x=\frac{\pi }{6}[/tex]
9. Kate is randomly choosing a date in the month
of August. What is the probability that she
chooses a two-digit number or a prime number?
Answers
The probability that Kate chooses a two-digit number or a prime number randomly from the month of August is 7/31.
What is probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
Kate is randomly choosing a date in the month of August. This date must be a two-digit number or a prime number.
Total days in August month is 31.Prime number data in this month is 11(2,3,5,7,11,13,17,19,23,29,31)Two-digit number data in this month is 21(10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31).The two digit prime numbers are 7(11,13,17,19,23,29,31). Thus, the probability is,
[tex]P=\dfrac{7}{31}[/tex]
Hence, the probability that Kate chooses a two-digit number or a prime number randomly from the month of August is 7/31.
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What is the exact value of x?
5 ⋅ 8^4x = 376
x=4log75.2/log8
x=4log8/log75.2
x=log75.2/4log8
x=log8/4log75.2
Answers
Answer:
[tex]x=\dfrac{\log(75.2)}{4\log(8)}[/tex]
Step-by-step explanation:
[tex]\begin{aligned}5 \cdot 8^{4x} & =376\\8^{4x} & = \dfrac{376}{5}\\8^{4x} & =75.2\end{aligned}[/tex]
Taking logs of both sides:
[tex]\implies \log(8)^{4x}=\log(75.2)[/tex]
Using the power log rule [tex]\log_a(x)^n=n\log_a(x)[/tex] :
[tex]\implies 4x\log(8)=\log(75.2)[/tex]
Solving for x:
[tex]\begin{aligned}\implies 4x\log(8) & =\log(75.2)\\\\ 4x & =\dfrac{\log(75.2)}{\log(8)}\\\\x & =\dfrac{\log(75.2)}{4\log(8)}\\\end{aligned}[/tex]
What is the value of this expression? [(9+5) x (4-2)] X (5-1) A 108 B112 C148 D336
Answers
Answer:
B
Step-by-step explanation:
maria worked as a florist and worked 12 hours last week and earned $96 at that rate how much will she earn this weekend if she works 14 hours
Answers
Answer:
Maria earned 112 dollars
Step-by-step explanation:
divided 96 by 12 then once you have that, multiply your answer by 14
Over the next 3 days Mrs. Messer would like to write 27 thank you cards. How many cards will she need to write each day in order to finish in time?
Answers
Answer:
9 Cards
Step-by-step explanation:
9 Cards a day equals 27 cards in 3 days
Answer:
9 CARDS
Step-by-step explanation:
(9) ~\(-_-)/~
A shopkeeper sold 12 bags on the first day. The number became four times
every subsequent day. Find the total number of bags sold in seven days.
48
84
65,532
65,535
Answers
The total number of the bags sold by the shopkeeper will be 65532.
What is number series?The sequence formed by using the numbers is termed as the number series.So in this question from day one to day seven each day the sold items are multiplied by 4.
So the mathematical expression will be given as:
[tex]=(12\times 4^0)+(12\times 4^1)+(12\times 4^2)+(12\times 4^3)+(12\times 4^4)+(12\times 4^5)+(12\times 4^6)[/tex]
[tex]=12+48+192+768+3072+12288+49152\\\\=65532[/tex]
Hence the total number of the bags sold by the shopkeeper will be 65532.
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A table has a length of 9 and a width of 4. What is the perimeter?
Answers
Answer:
26
Step-by-step explanation:
Assume the table is a rectangle.
A rectangle has 2 sides with the length of the length and 2 sides with the length of the width.
perimeter = sum of the lengths of the sides
perimeter = 9 + 9 + 4 + 4
perimeter = 26
Answer:
26
Step-by-step explanation:
Assuming the table is rectangular...
Rectangles = 4 sides
2 sides = 9
Other 2 sides = 4
Perimeter = adding up the sides
9+9+4+4=26
The graph shows the distribution of times (in hours) that teenagers spend playing video games per week. The distribution is approximately Normal, with a mean of 14 hours and a standard deviation of 4 hours.
What percentage of times are between 6 and 22 hours?
16%
68%
95%
99.7%
Answers
Answer:
16 times of percent of 6 is between 22
Answer:
C
Step-by-step explanation:
Stole the answer off a website (cant name it here)
Translate the sentence into an equation.
Two less than the product of 3 and a number equals 7.
Use the variable w for the unknown number.
Answers
Answer:
3w - 2 = 7
Step-by-step explanation:
product of 3 and number (w)
= 3w
two less than that
= 3w - 2
thus, 7 = 3w - 2
which function corresponds to the graph below? help pleaseee!
Answers
Answer:
A
Step-by-step explanation:
It is A because the negative in front of the 4 shows the curve was REFLECTED over the x-axis. The +1/2 in the parenthesis with the x shows the curve was translated (shifted or slid) to the LEFT 1/2 unit and the +3 at the end of the equation shows the whole thing was translated/shifted/slid UP 3 units. These transformations all together make the equation in A match the curve given.
Determine the average rate of change, in gallons of gas per year, from 1960 and 1999 and then determine what the result means in this situation. a. -0.33gal/year; the average fuel consumption per year of a passenger car in the U.S. decreased by a third of a gallon per year. b. 0.33 gal/year; the average fuel consumption per year of a passenger car in the U.S. increased by a third of a gallon per year. c. 2.97 gal/year; the average fuel consumption per year of a passenger car in the U.S. increased by nearly 3 gal/year. d. -2.97 gal/year; the average fuel consumption per year of a passenger car in the U.S. decreased by nearly 3 gal/year.
Answers
Answer:
D-step explanation:
None just guessed
A catering company offers meal pairings that include an appetizer of either salad or soup and an entree of either chicken or fish. At one
event, they serve a total of 78 meals. Of the 46 meals that include salads, 21 also include fish. There are 35 meals with fish as the
entree. Determine which two-way frequency table represents this situation.
Salad Soup Total
Chicken 18 25 43
Fish 14 21 35
Total
46 78
32
by Salad Soup Total
Chicken 23 16 39
Fish
23
16
39
Total
46
32
78
Salad Soup Total
Chicken
25
18
43
Fish
21
14
35
Total
46
32
78
Salad Soup Total
Chicken
32
46
78
Fish
46
32
78
Total
78
78
156
Answers
The two-way frequency table that represents this situation is :
Salad Soup Total
Chicken 25 18 43
Fish 21 14 35
Total 46 32 78
What is the two way frequency table that represents the data?A two way table is used to show the frequency for two categorical variables.
The total meal served = 78 Total salad meal served = 46 Total soup served = 78 - 46 = 32 Salad meals that had fish = 21Salad meals that had chicken = 46 - 21 = 25To learn more about two way frequency tables, please check: https://brainly.com/question/27344444
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Answer: Option A Salad Soup Total
Chicken 25 18 43
Fish 21 14 35
Total 46 32 78
Step-by-step explanation:
Which fraction below represents a repeating decimal?
A.1/2
B.1/5
C.1/8
D.1/9
Answers
Answer:
1/9
Step-by-step explanation:
lol
Answer:
1/9
Step-by-step explanation:
Your welcome
Find the value of n.
Answers
Answer:
45°
Step-by-step explanation:
sum of exterior angles = 360
n+n+n+n+90+90=360
4n+180=360
4n=180n=45
What is the solution to this equation?
x+17 = 25
OA. x=9
B. x = 42
OC. x=8
OD. x = 12
Answers
Answer:
C. x=8Step-by-step explanation:
x + 17 = 25
Then
x + 17 - 17 = 25 - 17 (we subtract 17 from both sides in order to isolate x)
Then
x = 8
REASONING The table shows the weights (in pounds) and the prescribed dosages (in milligrams) of medicine for six patients.
Weight (lb), x Dosage (mg), y
94 72
119 90
135 103
150 115
185 140
202 156
a. Find an equation of the line of best fit. Round the slope and the $y$ -intercept to the nearest tenth, if necessary.
y=
Identify the correlation coefficient. Round your answer to the nearest thousandths.
Interpret the correlation coefficient.
b. Interpret the slope of the line of best fit.
c. A patient who weighs 140 pounds is prescribed 135 milligrams of medicine. How does this affect the line of best fit? Explain.
Answers
The equation of the line of best fit in the table given regarding the weights will be y = 0.77x - 1.1
How to illustrate the table?From the information given, the equation of the line of best fit in the table given regarding the weights is given and the correlation coefficient is 0.99.
The relationship is strongly positive as it's close to 1. The slope of the best fit gives the change in dosage for for an increase in the weight of the patient.
When a patient who weighs 140 pounds is prescribed 135 milligrams of medicine, it affects the line of best fit as it increases the intercept but decreases the slope.
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The area of a rectangular pool is given by the expression, h^2+11h+28. Which of the following represents the length and width of the pool, in terms of h?
A) (h+2)(h+14)
B) (h+1)(h+28)
C) (h+4)(h+28)
Answers
How do you find A to C?
Answers
Answer:
7√3
Step-by-step explanation:
Pythagorean Theorem
a² + b² = c²
7² + b² = 14²
b² = 14² - 7²
b² = 196 - 49
b = √147
7√3
BRAINLIEST please if this helped!Answer:
[tex]AC = 12.12[/tex]
Step-by-step explanation:
Step 1: Determine side AC
[tex]Pythagorean\ theorem[/tex] → [tex]a^2 + b^2 = c^2[/tex]
[tex](AC)^2 + (CB)^2 = (AB)^2[/tex]
[tex](AC)^2 + (7)^2 = (14)^2[/tex]
[tex](AC)^2 + 49 = 196[/tex]
Step 2: Subtract 49 from both sides
[tex](AC)^2 + 49 - 49 = 196- 49[/tex]
[tex](AC)^2 = 147[/tex]
Step 3: Square root both sides
[tex]\sqrt{(AC)^2} = \sqrt{147}[/tex]
[tex]AC = 12.12[/tex]
Answer: [tex]AC = 12.12[/tex]
The diagram shows figures that are parallelograms and figures that are rectangles.
Select the four attributes that all parallelograms and all rectangles have in common.
Answers
Step-by-step explanation:
Venn diagram shows the figures that are parallelograms and the figures that are rectangles
Hope its help thanks
I think of a number,divide it by 4 then subtract 3. Give your answer in algebraic notation.
Correct answer automatically gets brainliest :)
Answers
(*make sure to write the division in fraction form as shown for algebraic notation)
the length of the side sqaure A is 50% OF THE LENGTH OF THE SIDE SQUARE b
Answers
Let's say the side length of square A is x, which means the side length of square B is 2x.
Then, the area of square A can be written as , and the area of square B can be written as .
There's no diagram here with shaded region, so I'll just find the area of square A as a percentage of the area of square B:
= 1/4 = 25%
So, the answer is 25% (note this is the answer to the question: "express the area of square A as a percentage of the area of square B; there is no diagram showing me where the shaded area is, so I cannot answer the original question