Answer:
A
Step-by-step explanation:
If the terminal point determined by t is (-5,-4), then
\sin (t) =
;
\cos (t) =
;
\tan (t) =
.
Answer:
The trigonometric ratios associated with (-5, -4) are [tex]\sin t \approx -0.625[/tex], [tex]\cos t \approx -0.781[/tex] and [tex]\tan t = 0.8[/tex].
Step-by-step explanation:
Let [tex]\vec u = (x,y)[/tex]. From Trigonometry, we remember the following definitions for the trigonometric ratios, dimensionless:
[tex]\sin t = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex] (1)
[tex]\cos t = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (2)
[tex]\tan t = \frac{y}{x}[/tex] (3)
If we know that [tex]x = -5[/tex] and [tex]y = -4[/tex], then the trigonometric ratios are, respectively:
[tex]\sin t = \frac{-4}{\sqrt{(-5)^{2}+(-4)^{2}}}[/tex]
[tex]\sin t \approx -0.625[/tex]
[tex]\cos t = \frac{-5}{\sqrt{(-5)^{2}+(-4)^{2}}}[/tex]
[tex]\cos t \approx -0.781[/tex]
[tex]\tan t = \frac{-4}{-5}[/tex]
[tex]\tan t = 0.8[/tex]
The trigonometric ratios associated with (-5, -4) are [tex]\sin t \approx -0.625[/tex], [tex]\cos t \approx -0.781[/tex] and [tex]\tan t = 0.8[/tex].
If 14 g of a radioactive substance are present initially and 2 yr later only 7 g remain, how much of the substance will be present after 5
yr?
Answer:
2.47g
Step-by-step explanation:
Given that Ao=14
A(t)= Aoe^kt
k =2yrs
Considering the function where Ao is the initial substance, k is the rate of decay and t is the time.
At the 2nd year A(t) is 7
That is,
7 = 14e^2k
Solve for k
7/14 = e^2k
In(7/14) = 2k
k = In(7/14)÷2
k = In(0.5)/2
k = -0.34657
Hence, A(t)= 14e^-0.34657
So, when t is 5
A(5) = 14e^-0.34657×5
= 2.4749
Approx = 2.47g
DEF JIH
Someone help me please
Answer:
ED is congruent to IH
ED is congruent to IH
PLEASE HELP!!
finding square roots of negative numbers
show your work
1-) V-18
2-) 2V-16
Answer:
Work shown below!
Step-by-step explanation:
[tex]\sqrt{-18}=\sqrt{18i^{2} } =\sqrt{2*9i^{2} }=3i\sqrt{2}[/tex]
[tex]2\sqrt{-16} =2\sqrt{16i^{2} } =4i*2=8i[/tex]
Can someone help meh on this question?
SOLVE, GRAPH AND CHECK:
6(4- x) < 12
Answer:
The answer is : x > 2
circular running track is 1/5 of a mile long. Elena runs on this track, completing each lap in 1/15 of an hour. What is Elena's running speed?
Answer:
3m/hr
Step-by-step explanation:
Answer:
3mph
Step-by-step explanation:
please help ASAP!!!!
Answer:
B.
Step-by-step explanation:
Plug in the x-values for x in the answer choices. The result will be the y-value of the table.
For example,
A. 3(-1)^2+3(-1)-2 = -2
That is not the y-value for -1, so A is not the answer.
B. 3(-1)^2-3(-1)-2=4.
4 works here, but make sure to try all the numbers.
3(0)^2-3(0)-2 = -2
3(3)^2-3(3)-2 = 16
B is the answer because with each x-value you substitute in for x, you get its corresponding y-value.
(-1,4) (0,-2) (3,16)
A package of dried fruit weighs 1/2 of a pound. If one serving size is 1/8 of a pound, how many servings would be in the package?
Answer:
4
Step-by-step explanation:
1/2 / by 1/8 = 4.
1/8 * 4 =1/2.
. The ratio of a model car to the real car is 2:55. If the real car is 165 inches
long from front to back, use a proportion to determine the length of the model
car.
Answer:
6
Step-by-step explanation:
What is the correct unit for the following measurement?
Dana wants to know how much space her books occupy in her room.
cubic centimeters (cm3)
meters (m)
Celsius (°C)
gm/cm3
grams (g)
liters (L)
Answer:
Cubic centimetres
Step-by-step explanation:
It is a unit for volume
Please help me with A. B. C. I will mark brainlist
common denominator for 1/4 and 7/10
Step-by-step explanation:
Common Denominator is 20.
Some multiples of 4 are 4, 8, 12, 16, 20.
Some multiples of 10 are 10, 20, 30, 40, 50.
This shows that 20 is a common denominator because 20 is a multiple of both 4 and 10.
What is the surface area of the pyramid 6 inches height 8 inches length 8 inches width
Answer:
384
Step-by-step explanation:
Formula:Length x Width x Hight
6x8=48 48x8=384
Have a good day!
n
The measure of Zo is 150°. What is the value of mZb+mZc+mze?
O 90°
ОООО
120°
210°
Answer:
∠b + ∠c + ∠e = 120°
Step-by-step explanation:
From the attached figure,
∠b + ∠e + ∠a = 180° (Linear pair)
Given that, ∠a = 90°
∠b + ∠e = 90° ...(1)
Also,
∠c + ∠d = 180° (Linear pair)
Given that,
∠d = 150°
∠c = 180°-150°
= 30°
Adding ∠c to both sides of the equation (1).
∠b + ∠e + ∠c= 90° + ∠c
∠b + ∠c + ∠e = 90° + 30°
= 120°
Hence, the meaure of ∠b + ∠c + ∠e is equal to 120°
What is the sign of the product of (-1/5) (-2/3) (-1/9) (-4/7)
Answer:
Step-by-step explanation:
4 minuses give a plus
8/945
this is geometry please
Step-by-step explanation:
y = 7/4 X
...... ... ... ...
3 fair coins are tossed.
a) What is the probability of getting all 3 heads? (My Answer is 1/8)
b) What is the probability of getting all 3 tails? (My Answer is 1/8)
c) What is the probability of getting all 1 head and 2 tails? (My Answer is 3/8)
d) What is the probability of getting all 2 heads and 1 tail? (My Answer is 3/8)
My Question:
e) What do the probabilities from parts (a) to (e) add up to?
Answer:
1/8 + 1/8 + 3/8 + 3/8 = 2/8 + 6/8 = 8/8 = 1
So the answer would be 1.
You are renting a house in the Seychelles for a week at $1700. What is the cost per day?
(Show your answer in dollars and cents: For example $300 is entered as 300.00)
Answer:
your paying for each day 56.66
An inference _______.
a. is a possible explanation for events using prior knowledge
b. explains if a hypothesis is or is not valid
c. is made independent of observation or prior knowledge
d. can be either qualitative or quantitative
Answer:
It is a possible explanation of events using prior knowledge
Step-by-step explanation:
Jillian and Dawn are playing a game of miniature golf. In this game, the score on a hole is the number of putts it takes to
get the ball into the hole. The winner is the player with the lowest score. After playing 18 holes, Jillian's mean is 2.4 and
Dawn's mean is 3.3. Which explains who won the game?
O Jillian won the game because her score varied less than Dawn's score.
O Jillian won the game because the person with the lower mean took fewer putts on average for each hole.
O Dawn won the game because the person with the greater mean played better.
O Dawn won the game because her mean absolute deviation was less than Jillian's.
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Mark this and return
Answer: B
Step-by-step explanation:
Sally is working on a new recipe for her party. She needs to get 3.5 pounds of strawberries, 1 quart of milk, and 1 box of sugar cookies. The prices below list how much items will cost Sally at the grocery store.
Strawberries $1.68 per pound
Quart of milk $2.38 each
Box of sugar cookies $1.99 each
Part A:
How much will 3.5 pounds of strawberries cost?
Part B:
What will Sally's total grocery bill be?
I REALLY NEED HELP PLEASE STAT
Answer: Part A. 5.88
Part B. 10.25
Step-by-step explanation:
Brainliest please ^^
Help pls 4=36÷____________
Answer:
9
Step-by-step explanation:
36 ÷ 4 = 9
36 ÷ 9 = 4
Answer:
9
Step-by-step explanation:
The square of the sum of 7 times xand 3 divided by 4 time the difference of x and 1
(7x + (3)/(4))^(2)-(x-1)
784
x
2
+
152
x
+
25
16
HELP MEEEEEEE PLZZZZZZZZZ 1 hundo
Answer:
x=6
Step-by-step explanation:
16*8=128
176-128=48
8*x should equal 48
8*6 makes 48 so x=6 makes this true
(answered 20. tell me if I need to answer both)
2 points
Ms. Brown bought a bag of bubble gum. 15 were green, 13 were yellow, 4
were white, 10 were blue, and 8 were red. What percentage of the gum is
green? *
Answer:
30 percent
Step-by-step explanation:
15 + 13 + 4 + 10 + 8 = 50
15/50 = 30/100
4. What is the value of the expression |-31|+|-9|?
F. -40
G. -22
H. 29
I. 40
some on help me again plsss
Answer:
40
Step-by-step explanation:
because if its between the lines and its negitive and you change it to positive then it well be 31 +9
What is the volume of the cone?
A 4,625.36 yd
B. 2,876.7 yd
C. 4,258.44 yd
D. 2,787.64 yd
9514 1404 393
Answer:
D. 2,787.64 yd
Step-by-step explanation:
The formula for the volume of a cone is ...
V = (1/3)πr²·h
The radius (r) is half the diameter, so is (22 yd)/2 = 11 yd. Putting the given values into the formula, we have ...
V = (1/3)π(11 yd)²(22 yd) = 887.333π yd³ ≈ 2787.64 yd³ . . . . matches D
What is the slope to y = 2x + 4
Answer:
2
Step-by-step explanation:
the number right next to the x is the slope, if there is no number, then the slope is 1
your equation in a y = mx + b format"
y is the outputm is the slopex is the inputb is the y intercept5x - 20y = 2 in
slope intercept form
Answer:
-20+5x=2.
Step-by-step explanation:
..............