The trigonometric functions are sin A = 12/13, sin B = 5/13, cos A = 5/13, cos B = 12/13, tan A = 12/5, and tan B = 5/12 as fractions.
What are Trigonometric functions?Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.
The trigonometric functions are given in the question
Apply the sine ratio on the given right triangle
⇒ sin(θ) = Perpendicular/hypotenuse
sin A = BC/AB
sin A = 12/13
sin B = AC/AB
sin B = 5/13
Apply the cosine ratio on the given right triangle
⇒ cos(θ) = Base/hypotenuse
cos A = AC/AB
cos A = 5/13
cos B = BC/AB
cos B = 12/13
Apply the tangent ratio on the given right triangle
⇒ sin(θ) = Perpendicular/Base
tan A = BC/AC
tan A = 12/5
tan B = AC/BC
tan B = 5/12
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Samantha was driving down a road and after 4 hours she had traveled 70 miles. At this speed, how many hours would it take Samantha to drive 105 miles?
Answer:
6 hours
Step-by-step explanation:
70miles divided by 4 hours equals 17.5mph
106miles divided by 17.5 mph = 6 hours
Answer:
6 hours
Step-by-step explanation:
105miles ÷ 70miles=1.5
4×1.5= 6
Describe the transformation between these two lines.
Answer:
To get black from red ...
scale by a factor of 3reflect over the x-axisshift left 1 unitshift up 4 unitsStep-by-step explanation:
You want the know the transformation that is applied to the red graph to make it be the black graph.
ObservationWe note that the vertex of the black graph is (-1, 4), which is 1 unit left and 4 units up from the vertex of the red graph.
The black graph opens downward, and has a slope of ±3 compared to the slope of ±1 for the red graph. This means it has been reflected across the x-axis and scaled by a factor of 3.
TransformationThe reflection and scaling can both be accomplished by multiplying the function by -3. The translation is accomplished by adding 4 to the function value to shift it up 4 units, and adding 1 to the x-value to shift the graph left 1 unit.
The transformations applied to the red graph are ...
scale by a factor of 3reflect over the x-axisshift left 1 unitshift up 4 unitsHelpppppp
Unit rate with fractions. A crew of landscapers mowed 1/5 of a lawn in 20
Answer:
1/5 lawn = 20 min.
? = 1 min
0.05 lawn in 1 minute
rate of 0.05 mowed per minute.
You can perform 6 push-ups in 16 seconds. Write and
graph an equation that represents the relationship between
time and the number of push-ups. At this rate, how many
pushups can you perform in 2 minutes?
Answer:
320 pushups
Step-by-step explanation:
16/6= 8/3
8/3*120=32
Solve and graph the inequality
7n - 1 > 76
Answer:
n>11
Step-by-step explanation:
The solution to the inequality 7n - 1 > 76 is n > 11, so the correct option is C.
To determine and graph the inequality 7n - 1 > 76;
First Add 1 to both sides of the inequality to isolate the variable term.
7n - 1 + 1 > 76 + 1
7n > 77
Divide both sides of the inequality by 7 to solve for n.
(7n) / 7 > 77 / 7
n > 11
Since n is greater than 11, the graph will be an open circle on 11, and an arrow extending to the right.
Therefore, the solution to the inequality 7n - 1 > 76 is n > 11, so the correct option is C.
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Green Valley Middle School wants to raise $7,500 for new equipment. If grades 6 and 7 each raise $2,450.25, how much money does grade 8 need to raise?
Answer:
2599.50
Step-by-step explanation:
7500 - 2(2450.25) = 2599.50
A club plans to sell tote bags. The club members estimate they will sell 100 tote bags when the bags are priced at $11 each. For every price increase of $1, they estimate they will sell 10 fewer bags. What is the estimated revenue, in dollars, when the bags are priced at $13 each?
Answer: The club members estimate that they will sell 100 tote bags when the price is $11 each, and for every price increase of $1, they estimate they will sell 10 fewer bags. If the price increases to $13, then this is a $2 increase from the original price, so we can calculate the number of fewer bags they estimate they will sell:
10 fewer bags per $1 increase * $2 increase = 20 fewer bags
To find the number of bags they estimate they will sell when the price is $13, we can subtract this decrease from the original number of bags they estimate they will sell:
100 bags - 20 fewer bags = 80 bags
To find the revenue in dollars, we can multiply the number of bags they estimate they will sell by the price of the bags:
80 bags * $13 per bag = $1040
So the estimated revenue when the bags are priced at $13 each is $1040
Step-by-step explanation:
Can somone help with this please and thank you
Answer:
they are equivalent just trust me
Step-by-step explanation:
m/4n m*2 and 4n82 = 2m/9n is same as m/4n *2
Answer:
Equivalent
Step-by-step explanation:
Yes, they are equivalent, we know that because if we multiply both the numerator and the denominator of the first fraction by 2, we will get the second one.
[tex]\frac{m}{4n} = \frac{m * 2}{4n*2} = \frac{2m}{8n}[/tex]
One number is three more than twice another number. If the sum of the two numbers is 30 , find the numbers
Answer:
9 = 1st number
21 = 2nd number
Step-by-step explanation:
given that :
1st number = x __eq_i
2nd number (in terms of the first number) = 2x + 3 __eq_ii
1st number + 2nd number = 30 __eq_iii
input eq_i and eq_ii in eq_iii
x + 2x + 3 = 30
3x + 3 = 30
3x = 30 - 3
x = 27 ÷ 3
x = 9
9 = 1st number
input the value of x in eq_ii
2x + 3
2(9) + 3
18 + 3
21 = 2nd number
hope that helps.
In a cylindrical wooden block with a radius of 7 cm and a height of 14 cm, hemispherical blocks with
a radius of 7 cm are carved out from both ends. Find the volume of the resulting solid.
9514 1404 393
Answer:
1372π/3 cm^3 ≈ 1436.8 cm^3
Step-by-step explanation:
The diameter and height of the cylinder are both 14 cm. The resulting solid will be a 14 cm sphere. Its volume is ...
V = 4/3πr^3 = 4/3π(7 cm)^3 = 1372π/3 cm^3 ≈ 1436.8 cm^3
Nina needs to make an array to solve this division problem: 142 3. How should she do it?
She should make rows of 3 until she has 140 rows. She will have 1 left over.
She should make rows of 3 until she has 142 rows. She will have o left over.
She should make rows of 3 until she has 47 rows. She will have 0 left over.
She should make rows of 3 until she has 47 rows. She will have 1 left over.
Answer: D
Step-by-step explanation: She should make rows of 3 until she has 47 rows. She will have 1 left over. Because 47*3 = 141 plus the left over 142
Which value satisfies the following inequality?
Solve: 47-4x<7
Answer:
D
Step-by-step explanation:
if x=11, -4(11)=-44. 47-44=3 and 3<7 which is true.
Pls help me i need to fill in the boxes that dont have anything in them but i aldo need to fill in the one that says "A="
Step-by-step explanation:
[tex] \bf \red { Area: \; \boxed{ 24 } units^2} [/tex]
Formula of area of a parallelogram is :
Area of parallelogram = b × h○ b denotes base
○ h denotes height
Here,
Base of the parallelogram is 6 units and height is 4 units.→ Area of the parallelogram = 6 units × 4 units
→ Area of the parallelogram = 24 units²
[tex] \therefore [/tex] Area of the parallelogram is 24 units².
[tex] \bf \purple { Perimeter: \; \boxed{ 22 } units} [/tex]
Perimeter of parallelogram = Sum of all sidesSince, opposite sides of a parallelogram are equal. So,
○ First side = 6 units
○ Second side = 5 units
○ Third side = 6 units
○ Fourth side = 5 units
→ Perimeter = ( 6 + 5 + 6 + 5 ) units
→ Perimeter = ( 12 + 10 ) units
→ Perimeter = 22 units
[tex] \therefore [/tex] Perimeter of the parallelogram is 22 units.
[tex]\boxed{ \sf { AREA \; FORMULA }} [/tex]
[tex]\boxed { \sf { A = Base \times Height }} [/tex]
Evaluate the ex’s press ion when a=2 and c= -6. 2a+c
Step-by-step explanation:
2a+c
=2( 2+(-6) )
=2( -4 )
= -8
Simplify: (6a +5)(4a+5)
Answer:
24a^2 +50a+25
Step-by-step explanation:
You just rolled two standard 6-sided number cubes. What is the probability the first cube shows a 3 or the sum of the two cubes is 4 or 9?
Can y’all help me on question 34?!
Zoran graphed the line shown below. Which of the following represents the
equation and slope of the line?
A. y = -7; slope = -7
B. x = -7; slope = 0
C. x = -7; slope is undefined
D. y = -7; slope = 0
20 Points!
Answer:
option d is correct answer
Step-by-step explanation:
equation y=-7 and slope zero
as equation of staight line y= MX+c
The we can say that the slope of the line is undefined and the {y} - intercept is -7.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is that Zoran graphed the line shown in the image.
The line is parallel to the {x} axis. So, it has no slope. Or, we can say that the slope of the line is undefined. It intersects the line at y = -7, at the {y} - axis. So, the {y} - intercept will be {y} = -7.
Therefore, the we can say that the slope of the line is undefined and the {y} - intercept is -7.
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Hey there come here and help
Answer:
Its between A and B
Step-by-step explanation:
I think its B Tho
Find the range of given data. 12, 35, 10, 16, 22, 40, 36, 50
Answer:
[tex]40[/tex].
Step-by-step explanation:
The range of a set of numbers is the difference between the maximum and minimum numbers.
In this set of number, [tex]50[/tex] is the maximum while [tex]10[/tex] is the minimum. Hence, the range would be [tex]50 -10= 40[/tex].
Math homework help please
Answer:
option 1 is correct
y= 1/2 cos 2x
Explanation
put x= 0
as cos 0= 1
y= 1/2= 0.5
Now put x = π/4
y= 1/2 cos 2*(π/4)=1/2 cosπ/2=0
as cosπ/2=0
Write the nth term of the following sequence in terms of the first term of the sequence.
1, 8, 15, 22, ...
Answer:
a(n) = 1 + 7(n-1)
Step-by-step explanation:
PLEASE HELP ME A.S.A.P! btw the activity is in Arabic.
Answer:
plz convert it i can't understand
Select the correct answer.
Rewrite the following
equation as a function of x.
25.34 – 6257 – 500 = 0
OA f(x) = 1 1 1 1 2 4 - 2
B. f(1) = -25r4 +
C. f(x) = 2534 -
D. f(1) = 2*4 +
Іст
Answer:
C
Step-by-step explanation:
Please help me solve this problem
9514 1404 393
Answer:
{f(x), g(x)} = {x^4, x(x+4)}
Step-by-step explanation:
If we look at the composite function from the point of view of the Order of Operations, we see the operations performed on x are ...
x is squaredx is multiplied by 4these products are addedthe sum is raised to the fourth powerFrom the point of view of decomposition, we want the outer function (f(x)) to be one that can be applied to the expression produced by the inner function (g(x)). Looking at our list, we find that raising an expression to the 4th power could qualify as the outer function we want. (We could also use raising to some other power, if we wanted.)
So, f(x) = x^4.
This leaves ...
f(g(x)) = f(4x +x^2)
so, g(x) = 4x +x^2.
One possible set of functions is ...
{f(x), g(x)} = {x^4, x(x+4)}
what is the time and place in which events happen?
a.conflict
b.plot
c.settings
d.theme
Answer:
What is the time and place in which events happen?
a. conflict
b. plot
c. settings
d. theme
The answer is setting because it's the condition, time, and place in which events or actions happen.
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Refer to the diagram shown.
I need help with this please help me
Valentina is choosing cutlery with which to eat dinner. There are 2 knives and 10 forks to
choose from. How many different cutlery sets can Valentina choose?
cutlery sets
Answer:
it would be able to make 20 different sets. not at the same time though. you would only be able to make 2 at one time
Nathaniel is searching for a four-leaf clover in a field. He finds 2 four-leaf
clovers during the first 12 minutes of his search. If Nathaniel spends a total of
180 minutes searching in the field, predict the number of four leaf clovers
Nathaniel will find.
Answer:
30 clovers
Step-by-step explanation:
If Nathaniel find 2 four-leaf clovers in the first 12 minutes of his search, the rate at which he finds the four-leaf clovers is:
[tex]\implies \sf Rate=\dfrac{2\;clovers}{12\;minutes}=\dfrac{1}{6}\;clovers\;per\;minute[/tex]
To predict the number of four-leaf clovers Nathaniel will find in 180 minutes, multiply the found rate by 180 minutes:
[tex]\implies \sf \dfrac{1}{6} \times 180=30\;clovers[/tex]
Therefore, Nathaniel will find 30 clovers in 180 minutes based on the rate at which he found 2 clovers.
[tex] \sf \longmapsto \: Prediction \: of \: 4 \: leaf \: clovers=2/12×180
\: [/tex]
[tex] \sf \longmapsto \: Prediction \: of \: 4 \: leaf \: clovers=30clovers[/tex]
You want to buy a $135,000 home. You plan to pay 5% as a down payment, and take out a 30 year loan at
6.1% interest for the rest.
How much is the loan amount going to be?
What will your monthly payments be?
How much total interest do you pay?
Suppose you want to pay off the loan in 15 years rather than 30. What will your monthly payment be?
On solving the provided question, we can say that - so, percentage - 400/500 X 100 = 80%
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
here,
total is 500
obtained is 400
so, percentage - 400/500 X 100 = 80%
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