Answers
Answer:
31.3
Step-by-step explanation:
Reference angle given = 56.1°
Hypotenuse = 56.1
Adjacent side = x = ?
We would apply CAH, which is:
Cos 56.1° = Adj/Hyp
Cos 56.1° = x/56.1
56.1 × Cos 56.1° = x
31.2895006 = x
x = 31.3 (approximated to the nearest tenth)
Related Questions
Borrows £10,000 over 5 years simple interest rate of 15%
Answers
Answer:
[tex]{ \tt{simple \: interest = p \times r \times t}} \\ = 10000 \times 15\% \times 5 \\ = £7500[/tex]
A rectangle has its base on the x-axis and its upper two vertices on the parabola y = 49 − x2. What is the largest possible area (in squared units) of the rectangle?
Answers
The parabola is a 'mountain'-type (because the coefficient of
x
2
is negative. Also, it is symmetrical in respect to the
y
-axis, because there is no
x
-term.
We can now simplify the problem to finding a rectangle with vertices at
(
0
,
0
)
,
(
x
,
0
)
,
(
0
,
y
)
and
(
x
,
y
)
and then double the
x
-values.
The area will then be
A
=
x
⋅
y
If we substitute the equation of the parabola for
y
:
A
=
x
⋅
(
49
−
x
2
)
=
49
x
−
x
3
To find the extremes (max of min) we need the derivative and set it to zero:
A
'
=
49
−
3
x
2
=
0
→
x
2
=
49
3
→
x
=
√
49
3
≈
4.04
...
(remember we will have to double that)
Use this in the original function:
y
=
49
−
x
2
=
49
−
49
3
=
98
3
≈
32.67
Answer :
Dimensions will be
8.08
x
32.67
graph{49-x^2 [-65.4, 66.33, -13.54, 52.3]}
Let the base of the rectangle be of length 2x, so its vertices on the parabola are (−x, 49 − x²) and (x, 49 − x²).
The area A of the rectangle is given by A = 2x(49 − x²), which simplifies to A = 98x − 2x³.
What is Rectangle?A rectangle is a four-sided polygon with opposite sides being congruent and parallel to each other, and all interior angles measuring 90 degrees.
To find the maximum possible area, we need to find the value of x that maximizes A. To do this, we take the derivative of A with respect to x and set it equal to zero:
dA/dx = 98 - 6x² = 0
Solving for x, we get x = ±√(98/6) ≈ ±4.1
Since the rectangle is symmetric about the y-axis, we only need to consider positive values of x. Therefore, the length of the base of the rectangle is 2x ≈ 8.2.
The height of the rectangle is 49 − x² ≈ 47.9.
The maximum area of the rectangle is then A ≈ 392.18 square units.
Learn more about area of rectangle at:
https://brainly.com/question/20693059
#SPJ3
8+(10-7) writen in words
Answers
Answer: 11
Step-by-step explanation:
8 + (10 - 7)
first you would solve the parenthesis, to support the order of operations.
8 + ( 3)
ten minus seven is three, so we replace the "10-7" in the parenthesis with "3"
next you add the eight and the three together
8 + 3 = 11
the total is eleven :)
Hey there!
Do PEMDAS to solve
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
8 + (10 - 7)
10 - 7 = 3
8 + 3
= 11
Or
8 + (10 - 7 )
8 + 10 - 7
8 + 10 = 18
18 - 7
= 11
Answer: 11
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
What is the explicit formula for this geometric sequence -4,-8,-16,-32
Answers
Answer:
an = - [2^(n+1)]
Step-by-step explanation:
-4,-8,-16,-32
a1 = -4
r = -8/-4 = 2
the formula :
an = -4. 2^(n-1) = - [2^(n+1)]
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD=40 and AC=48, what is the length of AB in simplest radical form?
Answers
Answer:
8[tex]\sqrt{30}[/tex]
Step-by-step explanation:
AB^2 = AD * AC
we got the answer
Solve each equation by graphing. Round to the nearest tenth.
X^2-6x= -8
A) 4, 2
B) −4, 2
C) −2, 4
D) −2, −4
Answers
Answer:
A
Step-by-step explanation:
That is the procedure above
Use the remainder theorem to find P(2) for P(x) = -x^3 + 4x^2 + 4
Answers
Answer:
12
Step-by-step explanation:
P(2)=-2³+4(2)²+4=-8+16+4=12
Pat spent $25.89 for a new book bag, $3.15 for a notebook, and $4.59 for a new pack of pens. About how much did he spend?
$30
$33
$34
$32
Answers
Answer: $34
Hope this helps +
Helena has an 80% chance and Rodriquez has a 50% chance of obtaining 'A' grades in their History examination. Find the probability that:
a both will obtain 'A' grades
b Rodriquez will get an 'A' and Helena will not
c.neither will obtain 'A' grades.
Answers
Answer:
a) 0.40
b) 0.10
c) 0.60
Step-by-step explanation:
Helena has 80% chance of getting A ,
[tex]P(A_H) = \frac{80}{100} = 0.80[/tex]
Rodriquez has 50% chance of getting A ,
[tex]P(A_R) = \frac{50}{100} = 0.50[/tex]
a)
[tex]P(A_H A_R) = P(A_H) \times P(A_R) = 0.80 \times 0.50 = 0.40[/tex]
b)
[tex]Probability \ Helena \ will \ not \ get \ A\ , \ P(A_H^{'} ) = 1 - P(A_H) = 1 - 0.80 = 0.20[/tex]
Probability Rodriquez will get A and Helena will not
[tex]P(A_RA_H^{'})[/tex] = 0.50 x 0.20 = 0.10
c) Probability neither will obtain A = 1 - Probability both will get A
= 1 - 0.40
= 0.60
the graph below shows how money has been budgeted for a certain company
The company has budgeted approximately 25% of its money on which of the following
Answers
Answer:
Shelter from a tornado should be sought:
in any of the above
in a room in the center of the first floor
in a basement
under a staircase in the center of the house
Shelter from a tornado should be sought:
in any of the above
in a room in the center of the first floor
in a basement
under a staircase in the center of the house
the sum of 3 times a number and 7 is 8 use the variable of w for the unknown number
Answers
Answer:
⅓
Step-by-step explanation:
I solved it in the picture above
Answer:
w = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The equation representing the situation is
3w + 7 = 8 ( subtract 7 from both sides )
w = 1 ( divide both sides by 3 )
w = [tex]\frac{1}{3}[/tex]
PLEASE HELP!!! IM ALMOST DONE WITH THIS SEMESTER
Answers
You can calculate it out or you can see that it's the only answer in slope intercept form
khalil has a circular cake that he plans to share equally betweeb himself and 5 friends. if tge cake is 8 inched in a diameter, what will be the length of the arc of each slice of cake.
Answers
Answer:
4.2
Step-by-step explanation:
It would be 8/2 which gets 4 and put the .2 4.2
Length of the arc of each slice of cake is equals to 5.024inches.
What is length of the arc?
" Length of the arc is defined as the distance between any two points as a part of the circumference of the circle."
Formula used
Length of the arc = radius × central angle of the arc
l = r × θ
According to the question,
Number of friends = 5
Diameter of the cake = 8inches
Shape of the cake is circular.
Therefore angle formed = 360°
Angle for each piece of cake = [tex]\frac{360}{5}[/tex]
= 72°
Radius of the cake = [tex]\frac{diameter }{2}[/tex]
= [tex]\frac{8}{2}[/tex]
= 4 inches
Substitute the value in the formula to get the length of the arc we get,
L = 4 × 72 × [tex]\frac{\pi }{180}[/tex]
= 5.024inches
Hence, length of the arc of each slice of cake is equals to 5.024inches.
Learn more about length of the arc here
https://brainly.com/question/14675251
#SPJ2
Mercury and venus are the sun than earth is.
Answers
closer to, shorter, longer. (T=A^1.5
just took the assigniment.
Answer:
So, their orbital periods are than Earth's orbit. The further a planet is from the sun, the its orbit is.
Step-by-step explanation:
Even though Venus is farther from the sun than mercury, Venus's surface is hotter than Mercury's because Venus has a carbon dioxide atmosphere that traps the sun's heat.
Algebra helppp 20 points
Answers
Answer:
D or A im leaning towards d but test your luck or not ur choice
Step-by-step explanation:
PLEASE HELP W THIS I WILL Give YOU THE BRAINLIEST PLEASE ! - What does it mean to have a skewed distribution? What causes a skew in statistical terms? And how does one deal with skewed data when conducting research? Are there specific types of
research questions and types of data where one would expect the data to be skewed?
Answers
Answer:
Explained below
Step-by-step explanation:
A) A skewed distribution in a dataset is when the median is not equal to the mean in such a manner that the bell curve is tilted to the left or right.
B) If in a data set, if there are outliers which are extremely large or extremely small in comparison to other values in that same dataset, then we can say that such a curve will be pulled towards the outlier and thus the distribution is skewed.
Also, if the curve is inclined to the left, it means there are few extreme values to the left and it is negatively skewed.
Similarly, if the curve is inclined to the right, it means there are few extreme values to the right and is positively skewed.
C) Example of a research question is;
If in a developed country where the poverty level is about 0%, if we collect the data of income of the households, we will discover majority of people with average income and very few people with extreme high levels of income. This condition means the data is positively skewed.
How many exterior walls does the building have?
Answers
Answer:
18
Step-by-step explanation:
360÷20=18
twentycharactersignorethis
the building has 16 exterior walls
If f(x)=2x²-x find f(-3)
Answers
Answer:
21
Step-by-step explanation:
f(x) = 2x^2 - x
f(-3) = 2*(-3)^2 - (-3)
=2*9 +3
=18 +3
=21
Answer: 21
Step-by-step explanation: To find f(-3) or the value of the function when x = -3, we plug in a -3 for the x in our function and we have 2(-3)² - (-3).
Start by simplifying the exponent to get 9.
So we have 2(9) - (-3) or 18 + 3 which is 21.
What is the area of this figure?
Answers
Answer:
90km² only if it is parallelogram
Step-by-step explanation:
base = 9km
height=10km
area of parallelogram = b x h
=9km x 10km
=90km²
Answer:
A = 90km2
Step-by-step explanation:
Area of a rhombus is:
1. A = s x h (if given side and height)
2. A = 1/2 a x b (if given lengths of diagonals)
3. A = s^2 sin A (if given side and length)
Therefore from your problem, height and side is given thus, you'll use number 1
A = s x h
A = 9km x 10km = 90km2
A sequence is defined by the recursive function f(n+1)=f(n)-2
If f(1)=10 what is f(3)?
Answers
Answer:
f(3) = 6
Step-by-step explanation:
Using the recursive rule and f(1) = 10 , then
f(2) = f(1) - 2 = 10 - 2 = 8
f(3) = f(2) - 2 = 8 - 2 = 6
Given :-
A sequence is defined by f(n + 1) = f(n) -2 .f(1) = 10To Find :-
The value of f(3) .Solution :-
As per Question ,
→ f(n + 1) = f(n) - 2
→ f(n + 1 ) - f(n ) = -2
Therefore , the second term of the sequence is ,
→ f(2) - f(1) = -2
→ f(2) - 10 = -2
→ f(2) = 10 -2
→ f(2) = 8
Similarly,
→ f(3) - f(2) = -2
→ f(3) = 8 -2
→ f(3) = 6
Hence the value of f(3) is 6 .Which of the coordinate points below will fall on a line where the constant of proportionality is 23? Select all that apply.
A) (6,8)
B) (3,2)
C) (6,4)
D) (9,6)
E) (12,8)
Answers
Answer:
(3,2)
(6,4)
(9,6)
(12,8)
Step-by-step explanation:
Constant of proportionality is 2/3
This means that:
[tex]y = \frac{2}{3}x[/tex]
Thus, y should be less than x, which removes option A.
B) (3,2)
x = 3, so:
[tex]y = \frac{2}{3}x = \frac{2}{3}3 = 2[/tex]
So (3,2) is on the line
C) (6,4)
x = 6, so:
[tex]y = \frac{2}{3}x = \frac{2}{3}6 = 4[/tex]
So (6,4) is on the line
D) (9,6)
x = 9, so:
[tex]y = \frac{2}{3}x = \frac{2}{3}9 = 6[/tex]
So (9,6) is on the line
E) (12,8)
x = 12, so:
[tex]y = \frac{2}{3}x = \frac{2}{3}12 = 8[/tex]
So (12,8) is on the line
each runner in an 8 mile relay races runs 4/5 of a mile. How many runners are on the relay team?
Answers
Divide total distance of the race by the length each runner runs:
8 miles / 4/5
When dividing by a fraction flip the fraction over and multiply:
8 miles x 5/4 = (8x5)/4 = 40/4 = 10
There are 10 runners
Answer:
10 runners
Step-by-step explanation:
Is 8 Miles which equals to 40/5 miles. 40/5 miles divided by 4/5 = 10 so 10 runners.
What is the solution set for -3(2x-4)+2<8
Answers
Answer:
-3(2x-4)+2<8
-3(2x-4)<6
-6x+12<6
-6x<-6
x=1
-3(2-4)+2<8
Ang salitang entrepreneur ay hango sa salitang na entrepende na nangangahulugan__________
Answers
Answer:
— Ang salitang entrepreneur ay hango sa salitang French na entrepende na nangangahulugang?
If you were given a fractional strip, that did not have any subdivisions marked like this one pictured below, how would you determine the fractional amount of the bar that is shaded?
Answers
9514 1404 393
Answer:
it depends on the accuracy and resolution required of the answer
Step-by-step explanation:
The shaded portion appears to be about half the length of the unshaded portion, suggesting the shaded amount is 1/3.
__
Using a pair of dividers, one could determine the number of times the shaded portion fits into the whole bar. Depending on how much is left over, the process could repeat to determine the approximate size of the remaining fraction relative to the bar or to the shaded portion. (Alternatively, one could replicate the length of the bar to see what integer number of shaded lengths fit into what integer number of whole lengths.)
One could measure the shaded part and the whole bar with a ruler, then determine the relative size of the shaded part by dividing the first measurement by the second. The finer the divisions on the ruler, the better the approximation will be.
The dot plots below show the ages of students belonging to two groups of painting classes: Based on visual inspection, which group most likely has a lower mean age of painting students? Explain your answer using two or three sentences. Make sure to use facts to support your answer.
Answers
Answer:
it's group A because they have more reliable sources
Use the coordinates of the labeled point to find a point-slope equation of the line.
A. y + 4 = 3(x-3)
B. y + 4 = -3(x - 3)
C. y - 4 = -3(x+3)
D. y - 4 = 3(x+3)
Answers
Answer:
B
Step-by-step explanation:
slope is negative
point slope formula is : (y-[tex]y_{1}[/tex]) = m(x-[tex]x_{2}[/tex])
the formula has minus signs that change the coordinates to the opposite value .
One number is 8 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 1090, find the numbers.
Answers
Answer:
Number one: x
Number two:8x
Number three: x+ 100
They added together equal to 1090:
x + 8x + x+ 100 = 1090
10x= 1090-100
10x=990
x=99
Number one: 99
Number two: 792
Number three: 199
Sum: 1090
what is 2+2+3+3+5+6
Answers
Answer:
21
Step-by-step explanation:
21
21
21
Answer:
Simple addition the answer is 21.
Ivan is saving money to buy a game. So far he has saved 8, which is one-fourth of the total cost of the game. How much does the game cost?
Answers
Answer:
[tex]\$32[/tex]
Step-by-step explanation:
Let the cost of the game be [tex]x[/tex]. Since one-fourth of the cost of the game is equal to 8 dollars, we have the following equation:
[tex]\frac{1}{4}x=8[/tex]
Multiply both sides by 4 to isolate and solve for [tex]x[/tex]:
[tex]x=8\cdot 4=\boxed{\$32}[/tex]