The value of tangent a in the right triangle in which , cosine a = 0.352 and sine a = 0.936 is 2.659.
What are the trigonometric ratios?Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle. The value of tangent of angle is equal to the ratio of sine of that angle to the cosine of that angle.
[tex]\tan\theta=\dfrac{\sin\theta}{\cos\theta}[/tex]
Here, θ is the angle.
The value of angle given in the problem are,
Cosine a = 0.352 Sine a = 0.936.Put these values in the above fromula as,
[tex]\tan (a)=\dfrac{\sin(a)}{\cos(a)}\\\tan (a)=\dfrac{0.936}{0.352}\\\tan(a)=2.659[/tex]
Hence, the value of tangent a in the right triangle in which , cosine a = 0.352 and sine a = 0.936 is 2.659.
Learn more about the trigonometric ratios here;
https://brainly.com/question/24349828
Answer:
D(2.659)
Step-by-step explanation:
got it right on edg
Which graph line represents an equation of a line with a slope of -2 and a point on the line of (-1, 2)
Answer:
purple
Step-by-step explanation:
Hi I just need quick answers !
⇒ Perimeter = 10 + 10 + 10 + 10 = 40 ft
Question 2: Find the slant height Definition of Slant Height: is the distance measured along a lateral face from the base to the center along the "center" of the faceTo understand the slant height, look at the diagram I attached
Slant height: 13 ft
Question 3: Find the Lateral AreaDefinition of Lateral Area: Area of the non-base faces only⇒ Lateral Area = 4 * (Area of Triangle)
= [tex]4*(\frac{1}{2} *10 * 13) = 4 * 5* 13 = 260ft^2[/tex]
= 260 ft^2
Question 4: Area of BaseArea of Base = 10 * 10 = 100ft^2
Question 5: Surface AreaDefinition of Surface Area: sum of the areas of surfaces of the figureSurface Area = Area of Base + Lateral Area
= 100 + 260 = 360 ft^2
Hope that helps!
Write the equation for each translation of the graph of y=|x+2|. a) one unit up b) one unit down c) one unit to the left d) one unit to the right
[tex]y = |x + 2| [/tex]
____________________________________________
a ) one unit upAs you know all kind of vertical transfers are along the y-axis thus :
[tex]y = |x + 2| + 1[/tex]
____________________________________________
b ) one unit down[tex]y = | x + 2| - 1[/tex]
_____________________________________________
c ) one unit to the leftWorking with the operation along the x-axis are all opposite so when the question say transfer the graph on unit to left it means to decrease all x values by one unit and we have to do the inverse work with mean to increase all the x values by one unit :
[tex]y = |(x +1 ) + 2| [/tex]
[tex]y = |x + 3| [/tex]
_____________________________________________
d ) one unit to the right[tex]y = |(x - 1) + 2| [/tex]
[tex]y = |x + 1| [/tex]
And we're done...
Take care ♡♡♡♡♡Yo I need to bring up my math grade bad so
y>1/3x
(please show it graphed already :D)
Answer:
The graph is shown below
Step-by-step explanation:
So, we can see that it is a linear equation, and the slope is 1/3x. Simply graph a line that has a slope of 1/3. Then, Becuase it shows y is greater than, we would shade above becuase y is greater than. But becuase it is not or equal to, we would create the line with dashes.
Water is pouring into a conical vessel of diameter 5.2m and slant height 6.8m (as shown in the adjoining figure), at the rate of 1.8 m per minute. How long will it take to fill the vessel?
Answer:
31.6m
Step-by-step explanation:
First, find area of the vessel [ (πr2h)/3 ]
Radius = 5.2/2= 2.6
Using Pythagorean theorem, find the height of the cone:
[tex]\sqrt{6.8^{2} -5.2^{2} }[/tex] = 4.38
Area of vessel = [tex]\frac{ (PI * 2.6 * 2 * 4.38)}{3}[/tex] = 56.88 [tex]cm^{3}[/tex]
Do cross multiplication using ratios:
1.8 = 1
56.88 = [tex]x[/tex]
[tex]\frac{56.88}{1.8}[/tex]= 31.6
Choose the correct problem for the fraction 12/13
A. 13 ÷ 12
B. 12 ÷ 13
C. 12 x 13
D. 12 ÷ 10
Answer:
B. 12 ÷ 13
Explanation:
13 ÷ 12 = 13/1212 ÷ 13 = 12/13 12 x 13 = 156 12 ÷ 10 = 12/10 = 6/5A shirt was originally priced at $80. The store is having a 25% off sale. How much will you pay for the shirt after the discount (not including tax)
$60
hope it helps...!!!
pls help me with this
Evaluate
4
7
×
7
4
Answer:
I think it is 3,478 if you need it to be Simplifyed
Step-by-step explanation:
hope this helps if not please let me know
Hi please help with an explanation as well, I’ll reward branliest!!!
Answer:
1. B = 6 m²
2. h = 2 m
3. V = 12 m³
Step-by-step explanation:
the base is a right triangle
Then
[tex]B=\frac{3\times 4}{2} =6\ m^{2}[/tex]
____________
The height of the prism is the length of the segment that join the base to its opposite face
Then
h = 2m (given)
___________
The volume of the prism :
[tex]V=B\times h=6\times 2=12 m^3[/tex]
A bale of hay in the shape of a rectangular prism has a length of 4 feet, a width of 2 feet, and a height of 2 feet. A cylindrical bale of hay has a diameter of 7 feet and a height of 6 feet. How many rectangular bales contain the same amount of hay as one cylindrical bale?
Answer:
14.424375 cubed feet (can round)
Sorry if this answer is not correct, if it is or is not, please tell me in the comments!
Step-by-step explanation:
First, find the volume of the rectangular prism which is 4 x 2 x 2 = 16 cubed feet.
Next, find the volume of the cylinder, and use this formula:
πrr (area of one circle) x the height
The r = the radius, but we only have the diameter. We need to divide the diameter by 2 to find the radius. (7 divided by 2 = 3.5 feet)
Now, we can plug all of the numbers in the previous formula:
π(3.5)(3.5) x the height (6 feet) = 230. 79 cubed feet
For the final step, we need to do 230. 79 divided by 16 to find how many rectangular prisms can fit in the cylinder.
So, the answer is 14.424375 cubed feet. (Add the label of "squared feet" and round the answer if you like!)
A 15ft ladder is leaning up against a wall. The top of the ladder makes a 12° with the wall, how far is the base of the ladder from the wall?
Step-by-step explanation:
[tex]the \: length \: of \: the \: ladder \: becomes \: the \: hypotenuse \: [/tex]
[tex]the \: base \: becomes \\ = \sin( \alpha ) \times hypotenuse \\ = \sin(12) \times 15 \\ = 3.119ft[/tex]
Select all the expressions whose value is larger than 100.
a. 120% of 100
b. 50% of 150
c. 150% of 50
d. 20% of 800
e. 200% of 30
f. 500% of 400
g. 1% of 1,000
Answer: A, D, F
Step-by-step explanation: A: 120 B: 75 C: 75 D: 160 E: 60 F: 2000
G: 10
Order -3,5, 16, and -10 from least to greatest.
Then order the same numbers from closest to
zero to farthest from zero. Describe how your
lists are similar.
A D
c
470 10
1. Find mCB 1339
2. If AB = 10, find length of AC
Round your answer to nearest tenth
1339
=
E
001
B
180
41
Answer: 4.1
Step-by-step explanation:
You find an apartment which charges 925 a month rent. each year the rent increases by 6% a. write a sequence that represents the rent paid each year for the first 5 years.
Answer:
In the first 5 years, 138,750$ worth of rent will already have been paid.
Step-by-step explanation:
Since you have to pay 925$ a month worth of rent, in only 1 year, 5,550$ rent money will already have been payed. Now, multiply 925 x 5 x 30 = 138,750. Since the rent increases by 6% every year, in the first 5 years it would have already increased to 30%. So therefore, you would have to pay 138,750$ money worth of rent.
Question 6 of 10
The slope of the line below is -3. Which of the following is the point-slope
form of the line?
5
(2,-2)
O A. y-2 = 3(x+2)
O B. y + 2 = -3(x - 2)
O C. y2 = -3(x+2)
O D. y + 2 = 3(x-2)
The point-slope form of the line is y + 2 = -3(x - 2). The correct option is B. y + 2 = -3(x - 2)
Point-slope form of an equation of a lineFrom the question, we are to determine the point-slope form of the given line
The point-slope form of an equation of a straight line is written as
[tex]y-y_{1}=m(x-x_{1})[/tex]
Where m is the slope and [tex](x_{1},\ y_{1})[/tex] is a point on the line
From the given information,
m = -3
And in the diagram,
One of the points on the line is (2, -2)
Therefore, we can write that
x₁ = 2 and y₁ = -2
Substituting into the point-slope form of an equation of a line,
We get
y - (-2) = -3(x - 2)
This becomes
y + 2 = -3(x - 2)
Hence, the pointslope form of the line is y + 2 = -3(x - 2). The correct option is B. y + 2 = -3(x - 2)
Learn more on Point slope form of an equation of a straight line here: https://brainly.com/question/8386231
The diagram for the question is attached below.
Given A= (-3,6) and B=(10,-8) what is the length of AB
[tex]\text{Given that,}\\\\A(x_1,y_1) = (-3,6)~~ \text{and}~ B(x_2,y_2) =(10,-8)\\\\AB = \sqrt{(x_2-x_1)^2 + (y_2 -y_1)^2}\\\\~~~~~=\sqrt{(10+3)^2 + (-8-6)^2}\\\\~~~~~=\sqrt{13^2 + 14^2}\\\\~~~~~=\sqrt{365}\\\\~~~~~=19.105~ units[/tex]
KLMN ~ PQRS. Find the given side length or angle measure.
let's keep in mind that the shapes are both congruent, and let's also notice the letters sequence, KLMN is congruent with with its corresponding sides and angles at PQRS, so the PS side will be corresponding with the NK side, and the angle at M is the same as the angle at R, Check the picture below.
Solve the equation -4x^3=32
Answer:
-2
Step-by-step explanation:
-4x^3 = 32
x^3 = -8
take the cube root of both sides.
x = -2
[tex]-4x^3= 32\\\\\implies x^3 = -\dfrac{32}4\\\\\implies x^3 = -8\\\\\implies x^3 +8 = 0\\\\\implies x^3 +2^3 =0\\\\\implies (x+2)(x^2 -2x +2^2)=0\\\\\implies (x+2)(x^2 -2x +4) = 0\\\\\implies x +2 =0~~~\text{or} ~~~~x^2 -2x +4 = 0\\ \\\implies x = -2 ~~~~~~\text{or} ~~~~ x= \dfrac{2 \pm\sqrt{-12}}{2}=\dfrac{2 \pm i\sqrt{12}}2}=\dfrac{2\pm2i\sqrt3}{2}=1\pm i\sqrt 3\\\\\text{Hence,}~ x = -2,~~ x = 1+i\sqrt 3,~~~ x= 1-i\sqrt3[/tex]
The height of a poplar tree in feet at age t years can be modeled by the function h(t)=6+3ln(t+1) . use the model to predict the number of years when the height will exceed 18 feet.
The function h(t)=6+3ln(t+1) is a logarithmic function
The height of the tree will exceed 18 feet after 53.6 years
How to determine the number of years?The function is given as:
h(t)=6+3ln(t+1)
When the height is 18 feet, we have:
6+3ln(t+1) = 18
Subtract 6 from both sides
3ln(t+1) = 12
Divide both sides by 3
ln(t+1) = 4
Take the exponent of both sides
t + 1 = e^4
Evaluate the exponent
t + 1 = 54.6
Subtract 1 from both sides
t = 53.6
This means that the height of the tree will exceed 18 feet after 53.6 years
Read more about logarithmic functions at:
https://brainly.com/question/25953978
A’B’C’ is a reflection of ABC over the y_axis. What is the length of A’C’?
~Denki~
Answer:
the length of "AC" should be the same as it was before it was reflected over the y-axis.
(there is no picture so i cant get as specific as intended)
hope this helps :D
30-60-90 triangles and 45-45-90 triangles
What are the ratios that correspond?
My math teacher says its x, √3x, 2x and x, x, √2x. But I’ve seen others do it x, x √3, 2x and x, x, x √2
Which is correct? Thank you
My math teacher did it the same way so I would go with your teacher's way
HELP ME: Lee works at a job where her pay varies directly with the number of hours she works. Her pay for 6.5 hours is $49.40. Write a direct variation equation relating Lee’s pay x to the hours worked y. Then find her pay if she works 25 hours in a week. y = 7.6x; $190
Answer: 90$
Step-by-step explanation:
Manuel starts with $30. He earns $8.00 per hour plus an additional
bonus of $12 each day. He spends $8.00 for lunch. If he has $94 at
the end of the day, how many hours did he work?
Answer:
He worked about 5.5 hours
Step-by-step explanation:
Im pretty sure
Answer:
7.5 hours
Step-by-step explanation:
h=hours
30+8h +12-8 =94
8h+34=94
8h =60
h= 7.5
a contractor hires 150 men to pave Philip Goldson highway in 30 days. How many men will he hire to do the same work in 20 days?
Answer:
225 men
This conversion leads to the answer:
30 days → 150 men1 days → (150 *30) men1 days → 4500 men20 days → (4500/20) men20 days → 225 men
A pebble falls off the top of a cliff. Its final velocity is 58.8m/s. How long does it take to reach the ground? Show
your work.
Answer: 5.7s
Step-by-step explanation:
We are explicitly given the final velocity of 58.8m/s, and implicitly given the acceleration of 9.8m/s^2 due to gravity. We are also implicitly given the initial velocity of the pebble. The pebble was not thrown off the cliff, it simply fell off the cliff. Therefore the initial velocity is 0m/s. Using the first kinematic equation, you get:
[tex]v_f=v_i+at[/tex]
[tex]58.8=0+(9.8)t[/tex]
[tex]58.8=9.8t[/tex]
[tex]t=5.7s[/tex]
Find the mean absolute deviation for:1, 1, 2, 4, and 7
a) 1
b) 2
c) 3
d) 0
help me please it’s almost due at 10 am
Answer:
a no. is the answer
Step-by-step explanation:
b=a+13
or, 14 = 1+13
or, 14= 14 {True}
Answer:
b=a+13
b=1+13
b=14
again,
b=a+13
b=6+13
b=19
so the relationship between a & b is b=a+13
HELPPPPPPPPPPPPPPPP:
Answer:
Formula of Mean= Efx/n
Formula of Median=n+1/2
I think it will help you
The number of students in sixth grade is 1.03 times the number of students in seventh grade. What percent is equivalent to 1.03?