Step-by-step explanation:
The opposite side is the side of the triangle facing the given angle. The adjacent side is the side that the given angle and the right angle lies on. The hypotenuse side is the side facing the right angle. (The hypotenuse side usually looks like a slanted line. Do note that this is not true if your adjacent and hypotenuse side is not horizontal and vertical respectively on the plane of your paper.)
I'll explain a bit more below using the some of the questions.
Q1) The given angle here is 27°.
X is facing the given angle hence it is the opposite side.
The side that is 10 units long is the adjacent side as 27° and the right angle sits on it.
tanθ= opp/adj
tan27°= x/ 10
x= 10(tan 27°)
x= 5.1 units (nearest tenth)
Q3) x is the adjacent side, while the side that is 7 units long is the hypotenuse side.
cosθ= adj/hyp
cos39°= x/7
x= 7(cos39°)
x= 5.4 units (nearest tenth)
Q4) x is the hypotenuse and the opposite side is 8 units long.
sinθ= opp/hyp
sin46°= 8/x
x(sin46°)= 8
x= 8/ sin46°
x= 11.1 units (nearest tenth)
Q5) x is facing the given angle, hence it is the opposite side. The adjacent side is given here, which is 6 units long.
tanθ= opp/adj
tan23°= x/6
x= 6(tan 23°)
x= 2.5 units (nearest tenth)
Feel free to ask if you still do not understand any concepts :)
sinθ= opp/hyp
cosθ= adj/hyp
tanθ= opp/adj
What is the median of the data displayed in the box and whisker plot?
Answer:
The median is the middle number in a you box/whisker plot. The median is sometimes used as opposed to the mean when there are outliers in the sequence that might skew the average of the values
Step-by-step explanation:
The median is "the middle number" in short...
ex: 1,5,8,9,8648
the middle number would be 8
Brainliest plz
Answer:
median is where the middle line in the box is
Step-by-step explanation:
What is the difference between (8y-7) and (1-3y)
Hint: Difference is another way to say subtraction.
Please help! For the function f(x) = 2x^6 + 3x^4 - 4x^3 + (1/x) - sin(2x) find the first four derivatives.
Answer:
Step-by-step explanation:
First derivative
[tex]12x^5+12x^3 -x^{-2}-2cos (2x)[/tex]
Second derivative
[tex]60x^4+36x^2+2x^{-3}+4sin(2x)[/tex]
Third derivative
[tex]240x^3+72x-6x^{-4}+8cos(2x)[/tex]
Fourth derivative
[tex]720x^2+72+24x^{-5}-16sin(2x)[/tex]
A line passes through (0, -1.8) and has a slope of 7. Write an
equation of the line.
1. y=7x-12.6 2. y=7x+12.6 3. y=7x-1.8 4. y=x+-1.8
Answer:
equation of a line= y-y¹=m(x-x¹)
y--1.8=7(x-0)
y+1.8=7x-0
y+1.8=7x
y=7x+1.8
In a far-off land three fish can be traded for two loaves of bread and a loaf of bread can be traded for four bags of rice. How many bags of rice is one fish worth?
Answer:
One fish can be traded for 2 2/3 bags of rice.
Step-by-step explanation:
Key:
F = One fish
L = Loaf of bread
R = Bag of rice
So, with that set we see that:
3F = 2L & L = 4R
2L for 2 x 4 = 8R
So,
3F = 8R OR 3:8 OR 8/3
8/3 = 2 2/3, which is the answer.
what is the correct expanded form and value of (One-fifth) Superscript 4?
A. 1/5+1/5+1/5+1/5=4/5
B. 1/5 x 1/5 x 1/5 x 1/5= 1/625
C.1+1+1+1/5 x 4 = 4/20
D.1/5x4=4/5
Answer:
B, 1/5*1/5*1/5*1/5=1/625
Answer:
B.
Step-by-step explanation:
because furries are alwasy right
681/4 i dont know this
Answer:
170.25
Step-by-step explanation:
It's a bit tricky to do not on plain paper, but here:
Just assume the long division symbol looks right
_1_7_0_.25
4 ) 681
-4
2 8
-2 8
0 1
The remainder is "1", so you'll just have to write that as either a fraction or decimal, whatever is assigned.
Fraction: 170 1/4
Decimal: 170.25
The answer is 170.25
please see the attached picture for full solution
hope it helps
Good luck on your assignment
Which of the following is the simplified form of 7sqrtx 7sqrtx 7sqrtx
Answer:
First option is the correct answer
[tex] {x}^{ \frac{3}{7} } [/tex]
Step-by-step explanation:
[tex] \sqrt[7]{x} \times \sqrt[7]{x} \times \sqrt[7]{x} \\ \\ = \sqrt[7]{x\times x\times x } \\ \\ = \sqrt[7]{ {x}^{3} } \\ \\ = {x}^{ \frac{3}{7} } [/tex]
the diameter of a circle is 5 ft. Find the circumference TO THE NEAREST TENTH
Answer:
15.7
Step-by-step explanation:
3.14(5)
Manuel has a collection of baseball cards. There are 10 Tiger players, 4 Red Soxs, 6 Cubs, and 5
Yankees. If he shuffles the cards what is the probability that the first card he picks is a Tigers
player?
Answer: 2/5
Step-by-step explanation:
10 + 4 + 6 +5 = 25
10/25
simplify: 2/5
P
L
Z
H
E
L
P
M
E
!
!
!
Answer:
slope = - 4
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = - 1, 22) and (x₂, y₂ ) = (1, 14) ← 2 ordered pairs from the table
m = [tex]\frac{14-22}{1-(-1)}[/tex] = [tex]\frac{-8}{2}[/tex] = - 4
what is 5x+ x - 7-8 + 365 solve it plz
Answer:
x = -58.3
Step-by-step explanation:
6x - 15 + 365 - simplifly terms
6x + 350 = set to equal sides
6x = -350
x = -58.3
The side lengths of a triangle are 6, 8 and 12. Is this a right triangle?
A. Yes, because 6 to the 2nd power + 8 to the 2nd power < 12 to the 2nd power.
B. No, because 6 + 8 ≠ 12.
C. Yes, because 6 to the 2nd power + 8 to the 2nd power = 12 to the 2nd power.
D. No, because 6 to the 2nd power + 8 to the 2nd power ≠ 12 to the 2nd power.
Answer:
No it's not. 6 to the 2nd power + 8 to the 2nd power ≠ 12 to the 2nd power
Step-by-step explanation:
If you square the shorter lengths and add them together, they add up to one hundred
6^2 + 8^2 --> 38 + 64 = 100
Once you square 12 it equals 144
144 does not equal 100. There for it can't be a right triangle. To be a right triangle, it has to have a ratio pf 3: 4: 5.
Ex: 6: 8: 10, 12: 16: 20, etc.
Hope this helps!
Which is the approximate solution for the system of equations
8x-10y=-28 and 9x+10y=-16?
A(-2.3, 0.5)
B(-2.5, 1)
C(-2.3, 0.5)
D(-2.5, -1)
Step-by-step explanation:
work is shown and pictured
Solve for x.
-3+85-5=-8
A. -2.
B.-1
C.-3/4
D.0
Answer:
-2
Step-by-step explanation:
-3+8x-5=-8
8x = -16
x = -2
Answer:
Undefined
Step-by-step explanation:
-3+8x-5=-8
+8 on both sides
8x = 0
Since you cant divide a number by 0, the answer is undefined
Given the following table, find the rate of change between f(-1) and f(2). x -1 0 1 2 3 f(x) -2 -1
Answer:
[f(2) - f(-1)]/3
Step-by-step explanation:
The table is incomplete, so I will answer the question in general terms. The rate of change between f(-1) and f(2) is computed as follows:
rate of change = [f(2) - f(-1)]/[2 - (-1)] = [f(2) - f(-1)]/3
To complete the calculation you need to replace the values of the function at x = 2 and x = -1, and compute the result.
Answer:
7 over 12
Step-by-step explanation:
The table is incomplete, so I will answer the question in general terms. The rate of change between f(-1) and f(2) is computed as follows:
rate of change = [f(2) - f(-1)]/[2 - (-1)] = [f(2) - f(-1)]/3
To complete the calculation you need to replace the values of the function at x = 2 and x = -1, and compute the result.
Consider the function f(x)= 10^x and the function g(x), which is shown below.
How will the graph of g(x) differ from the graph of f(x)?
g(x)= f(x - 6) = 10^(x-6)
A. The graph of g(x) is the graph of f(x) shifted 6 units elown.
B. The graph of g(x) is the graph of f(x) shifted to the left 6 units.
C. The graph of g(x) is the graph of f(x) shifted 6 units up.
D. The graph of g(x) is the graph of f(x) shifted to the right 6 units.
Answer:
B. The graph of g(x) is the graph of f(x) shifted to the left '6' units
Step-by-step explanation:
Type of transformation change to co-ordinate point
Vertical translation up 'd' units (x ,y) changes to (x , y+d)
Vertical translation down 'd' units (x ,y) changes to (x , y-d)
Horizontal translation left 'c' units (x ,y) changes to (x-c , y)
Horizontal translation Right 'c' units (x ,y) changes to (x+c , y)
Given f(x) translation left 'c' units f(x) changes to f(x-c)
Given f(x) translation right 'c' units f(x) changes to f(x+c)
Given Function f(x) = 10 ˣ
The given graph f(x) translation left '6' units
g(x) = f(x -6) = [tex]10^{x-6}[/tex]
Final answer:-
The graph of g(x) is the graph of f(x) shifted to the left '6' units
g(x) = f(x -6) = [tex]10^{x-6}[/tex]
Answer:
D. The graph of g(x) is the graph of f(x) shifted to the right 6 units.
Step-by-step explanation:
Use GeoGebra to graph those two function
f(x) = 10^x
g(x) = 10^(x-6)
Write the set using roster notation: The set of even natural numbers less than 10.
Answer:
A={2,4,6,8}
Let the set be A
Even numbers are those numbers which can be divided by 2.
hope it helps
Good luck on your assignment
Answer:
A={2,4,6,8}Step-by-step explanation:
Let the set be A
even numbers means the numbers can be divide by 2
but they said that it has to be less than 10
Now, let's create the set
[tex]a = {2 \: \: 4 \: \: 6 \: \: 8 \: \: } [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which ordered pair is a viable solution if x represents the number of books he orders and y represents the total weight of the books, in ounces?
Answer:
The answer is "(0,0)"
Step-by-step explanation:
In the given some information is missing that is point so, the correct answer to this question can be described as follows:
book Number = x
overall Book weight = y
Neither x nor y can be negative. We have to be positive values, then.
Since x indicates the number of books, that must be a positive integer. It can not be a decimal number or fractional number.
So the only viable solution from the given options is (0, 0).
Answer:
6 ounces. Which ordered pair is a viable solution if x represents the number of books he orders
Step-by-s6 ounces.
(5ab-9a-4) - (-4ab + 5)
Answer:
9ab - 9a +1
Step-by-step explanation:
first, we can distribute the negative sign to the second set of parentheses.
-(-4ab + 5) becomes + 4ab - 5
now let's put the values in (5ab-9a-4) side by side with the corresponding values in + 4ab - 5
5ab + 4ab - 9a - 4 - 5
= 9ab - 9a - 9, because 5ab + 4ab = 9ab, -9a is alone, and -4 - 5 = -9.
How are the following three expressions different from each other, if needed they are? Do not just state the value of each but explain what may be same or different.
That what my teacher said I’m confused plz help
Thank u so much to the people who helped me answer it.
Answer:
2 and 3 are same since in both the cases we need to square 2 only not the negative 1 in it
1 is not same to 2 and 3 since in 1 we need to square 2 and negative 1 in it also.
Step-by-step explanation:
We are given the three expressions different from each other
We are supposed to find what may be same or different.
1) [tex](-2)^2[/tex]
[tex]\Rightarrow (-1)^2 \times (2)^2\\\Rightarrow -1 \times -1 \times 2 \times 2 \\\Rightarrow 4[/tex]
2)[tex]-2^2[/tex]
[tex]\Rightarrow -1 \times 2^2\\\Rightarrow -1 \times 2 \times 2 \\\Rightarrow -4[/tex]
3)[tex]-(2)^2[/tex]
[tex]\Rightarrow -1 \times (2)^2\\\Rightarrow -1 \times 2 \times 2 \\\Rightarrow -4[/tex]
Now 2 and 3 are same since in both the cases we need to square 2 only not the negative 1 in it
1 is not same to 2 and 3 since in 1 we need to square 2 and negative 1 in it also.
I need help asap pls help me
Answer:
36 ft
Step-by-step explanation:
The first step is to find the length of the hypotenuse of the newly formed right triangle. Using the Pythagorean theorem:
[tex]x=\sqrt{10^2+24^2}=\sqrt{100+576}=\sqrt{676}=26[/tex]
Adding this to the 10 foot tall part of the tree that remains standing, you get an initial height of 26+10=36 feet. Hope this helps!
Simplify the following expression.
11 - X 7
Answer:
11-7x its already simplified
by-step explanation:
multiply
To compute a product; to perform a multiplication.
Walter pays $2.53 to ship a package that weighs 5.5 ounces. Which is the cost to ship 1 ounce?
__________________________________
Solution,
Cost of 5.5 ounces =$ 2.53
Cost of 1 ounce= 2.53/5.5
=$0.46
So the answer is $ 0.46
Hope it helps
Good luck on your assignment
_________________________________
help please, thank you
Answer:
.39-.23
=.16
that the answer
According to the water surface area rule, a fish tank can be
stocked with one inch of fish for each twelve square inches of
surface area. The fish that you are interested in putting in your
fish tank are each 2 inches. Your fish tank has a surface area of
576 square inches. According to the water surface area rule,
what is the maximum number of fish you can put in your tank?
Answer:
24 fishes
Step-by-step explanation:
If for 1 inch of fish corresponds 12 square inches of surface area, then for 2 inches correspond 24 square inches. Given that each fish is 2 inches, then for 1 fish 24 square inches of surface area is needed. To know how many fish you can put in your tank, we need to solve the following proportion:
1 fish / x fish = 24 square inches / 576 square inches
x = 576/24
x = 24 fishes
The figure below is made of two identical triangular prisms. What is the volume of the figure?
Answer:
300 in³
Step-by-step explanation:
The volume (V) of a triangular prism is
V = Al ( A is the area of the triangular face and l is the length )
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 5 and h = 6 , thus
A = [tex]\frac{1}{2}[/tex] × 5 × 6 = 15 in², so
V = 15 × 10 = 150 in³
Since the triangular prisms are identical, then volume of figure is
V = 2 × 150 in³ = 300 in³
What is the probability that a single card chosen from a complete deck of cards is not an ace or a King? ( with explanation )
Answer:
84.6%
Step-by-step explanation:
There ae 52 cards in a standard deck there are 4 aces and 4 kings in each deck
therefore
52-8 =44, 44 cards that are not kings or aces
therefore the probability is
44/52 = 0.846153846*100 = 84.615%
There the chances are 44/52 or 84.6%
Answer:
11/13 or 84.62%
Step-by-step explanation:
There are 52 cards in a standard deck. There are 4 aces and 4 kings, 8 total. Subtract 8 from 52 to find the amount of cards that are not aces or kings:
52 - 8 = 44
Therefore, the probability of choosing a card that is not an ace or a king is 44/52, which can be simplified to 11/13. This can also be expressed as a percentage: approximately 84.62%.
Hope this helps! Please feel free to ask me any questions :)
a right triangle has a leg of 3 feet and hypotenuse of 4 feet. what is the length of the other leg? enter your answer, as a decimal rounded to the nearest tenth, in the box?
Answer: 2.6
Step-by-step explanation:
a^2 + b^2 = c^2
3^2 + b^2 = 4^2
9 + b^2 = 16
b^2 = 7
b = 2.6
Answer:
√7 = 2.6
Step-by-step explanation:
a²+b²=c²
9+b²=16
b²=7
PLEASE HELP ITS TIMED!!