Given:
The terminal point of [tex]\phi[/tex] is (1,0).
To find:
The value of [tex]\tan\phi[/tex].
Solution:
If the terminal point of [tex]\theta [/tex] is (x,y), then
[tex]\tan \theta=\dfrac{y}{x}[/tex]
It is given that the terminal point of [tex]\phi[/tex] is (1,0).
Here, x-coordinate is 1 and the y-coordinate is 0. Using the above formula, we get
[tex]\tan \phi=\dfrac{0}{1}[/tex]
[tex]\tan \phi=0[/tex]
Therefore, the value of [tex]\tan \phi[/tex] is 0.
Omar's gas tank is 1/3 full. after he buys 9 gallons of gas, it is 5/6 full. How many gallons can Omar's tank hold?
Answer:
18 gallons
Step-by-step explanation:
First get a common denominator (6). So 3/6 are added to the tank when Omar buys 9 gallons of gas. That means for every 1/6, three gallons are added to the tank.
03.
(a)
Multiply out
3(2x-7)
Answer
Answer: -42 is the answer.
WUTY guerrITOSTITUTO PETTITUUTTOIVOITETTO
GO
Determine the equation of the line perpendicular to the line y = -8 through the point (-4,-2),
The line ys -8 is
The line perpendicular to the line y = -8 is
The equation of the line perpendicular to the line y = -8 through the point (-4,-2) is
Answer:
-x-6=y
Step-by-step explanation:
Perpendicular slope is -1
-1(-4)+b=-2
B=-6
Answer:
Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).
The line y = –8 is
✔ horizontal
The line perpendicular to the line y = –8 is
✔ vertical
The equation of the line perpendicular to the line y = –8 through the point (–4, –2) is
✔ x = –4
Step-by-step explanation:
i got it right
Blue
A bowl contains:
• 3 red erasers
• 4 blue erasers
.6 green erasers
• 7 pink erasers
An eraser will be drawn from
the bowl and replaced 50 times.
What is a reasonable prediction
for the number of times a green
eraser will be drawn?
Whoever answers correctly will be marked brainliest
Answer:
30%
Step-by-step explanation:
3+4+6+7= 20
6 (green) / 20
= 30%
Congruent angle pairs : Find m
Answer:
75
Step-by-step explanation:
x+60 and 5x are vertical angles, which means they are equal
x+60 = 5x
Subtract x from each side
x+60-x = 5x-x
60 = 4x
Divide by 4
60/4 = 4x/4
15 =x
We want to find x+60
x+60
15+60
75
Answer:
∠GH = 75°
Step-by-step explanation:
x + 60° = 5x° ( vertical angles )
subtract x from both side
x - x + 60° = 5x - x
60° = 4x
divide each side by 4
60°/ 4 = 4x / 4
15 ° = x
To calculate, ∠GH
∠GH = x + 60 °
15 ° + 60° .. ( x = 15°)
= 75°
Jim writes 10^4 words every day how many words does he writes in 10^3 days?
SUPER URGENT: What is the range of y = sinx in the interval - π ≤ x ≤ 0?
-1 ≤ y ≤ 1
-1 ≤ y ≤ 0
0 ≤ y ≤ 1
y ≤ 1
Answer:
-1 ≤ y ≤ 0
Step-by-step explanation:
here, we simply want to know the range of values for sin x over the given interval
The range of values for sin x are simply the values in which y will take over the given interval of x
let’s start with the value sine (-pi)
We have this as;
0
And the value of sin (0) = 0
Recall, between -pi and 0, we have (-pi/2)
so sin (-pi/2) = -1
Thus, we have the correct range of values as;
-1 ≤ y ≤ 0
Write an algorithm to find sum of first ten even numbers?
plz do it ... if you do i will mark brainliest
Answer:
n(n+1)
This is the answer I know
A company paid a ₦25200 electricity bill to NEPA. The bill included VAT at 5%. Calculate the amount of VAT paid
Answer:
1260
Step-by-step explanation:
5÷100=0.05
0.05×25200=1260
Black pens come in boxes of 12. Blue pens come in boxes of 10. Red
pens also come in boxes of 10. You need a total of 50 of each color of
pen. You have 2 boxes of black pens, 3 boxes of blue pens, and 1 box of
red pens. How many boxes of each color should you order?
Answer
12+10+10+50+2+3+1=88
Step-by-step explanation:
Answer:
Red pens: 4 boxes
blue pens: 2 boxes
black: 3 boxes
Step-by-step explanation:
Need answer fasttt
Find the volume of a pyramid with a square base, where the side length of the base is
11.5 in and the height of the pyramid is 6.7 in. Round your answer to the nearest
tenth of a cubic inch.
Answer:
295.4 [tex]in^3[/tex]
Step-by-step explanation:
[tex]V=\frac{1}{3}(b)^2(h)\\\\ =\frac{1}{3} (11.5)^2(6.7)\\\\=\frac{1}{3}(135.25)(6.7)\\\\[/tex]
= 295.358
≈ 295.4
Which of these r-values represents the weakest correlation
A 0.6
B 0.3
C 0.5
D 0.4
Answer:
B
Step-by-step explanation:
0.3 is weakest
PLEASE HELP!! The green line below *blank*. Check all that apply.
A. is parallel to the x-axis
B. crosses the origin
C. is in the xy-plane
D. crosses the y-axis
Answer:
D. crosses the y-axis
[tex]{ \tt{crosses \: y - axis \: at \: y = 5}}[/tex]
what is the volume of the following rectangular prism 9/5 units 2/3 units
Answer:
1.2
Step-by-step explanation:
9/5*2/3=1.2
A 3-column table with 5 rows. Column 1 is labeled Tickets with entries 2, 4, 6, 8, 10. Column 2 is labeled Total Cost for Aquarium with entries 29, 58, 87, blank, blank. Column 3 is labeled Total Cost for Wave Pool with entries 33.5, 67, blank, blank, blank.
Gale found out that the wave pool has a money-saving deal: if more than 4 people attend, the tickets are discounted from $16.75 each to $12.25 each.
Calculate to determine how much 6 tickets to the wave pool will cost.
$
Answer
What event will cost the least for 9 tickets?
the wave pool
How much less will this event cost?
$20.25
Hope it helps :)
Step-by-step explanation:
Helppppppppp meeeeeeeeeeee
Help please! I really need it
List all the possible numbers for ALL 4 Quadrants (in terms of negative, positive).
What Quadrant would the following numbers be in:
-4, -6 ______
+5, +5______
-4, +1 ______
+3, -7 _____
Oof, I'm to tired to remember how to do this T-T
Can anyone help asap? This is timed. Brainliest for best answer!!
Answer:
D
Step-by-step explanation:
Equation of the line
y - y1 = m(x - x1)
y - (-4) = 1/3 (x - 3)
y + 4 = 1/3x - 1
y = 1/3 x - 5
the graph that intercept y axis in -5 is the graph D
Answer:
i can't remember how to do this rn because its like 2:30am
C seems like most accurate answer, if this is wrong im really sorry :C
Step-by-step explanation:
Please please pleeeesse hurry if you see this and it’s right I with give brainliest
Answer:
forma is h * w / 2 and y and x have no value because there are no numbers to calculate.
Step-by-step explanation:
hope this helps!!!!!
Answer:
h * w/2 OR (base * height) / 2
/ = divide
* = multiply
Step-by-step explanation:
What are the roots of the equation 9x^2-42x+50=0 in simplest a+bi form?
Answer:
-7/3 +\- 1/3i
Step-by-step explanation:
Tell whether the triangle with the given side lengths is a right triangle. Y/N question
Answer:
No.
Step-by-step explanation:
33^2 + 56^2 is not equal to 66^2. I squared these numbers because that is how I can find out and see if the Pythagorean Theorem (a^2 + b^2 = c^2) is true for this.
Answer:
no , it is not a right triangle.
Step-by-step explanation:
according to the pythagoras theorem to be the right angled triangle the sum of square of two smaller sides of triangle must be equal to the square of it's hypotenuse.
Here , 66 is largest side so it is hypotenuse and other two sides are the legs of the triangle.
pythagoras theorem:
a^2 + b^2 = c^2
33^2 + 56^2 = 66^2
1089 + 3136 = 4356
4225 = 4356
since both sides are not equal it can be concluded that the given side lengths does not form right triangle.
[tex]\sqrt \frac{256}{4\\}[/tex]
Answer:
8
Step-by-step explanation:
[tex]\sqrt{\frac{256}{4} }[/tex]
[tex]\sqrt{\frac{16*16}{2*2} }[/tex]
[tex]\sqrt{(\frac{16}{2})^2 }[/tex]
square and root gets cancel . so ,
[tex]\frac{16}{2}[/tex]
8
Cost per item: $6.06 item sold: 64321 total profit: $25123.5 sale price:?
Answer:
0.39063241
Step-by-step explanation:
cost per item: 6.06
items sold: 64321
total profit: 25123.5
sale price: ?
x = number of items
64321x - 6.06x = 25123.5
64314.94x = 25123.5
x = 25123.5/64314.94 = 0.39063241
Date
Page
Out
of
100 students who appeared in
grade.VIII annual examination
of
Ram
Janaki Secondary School.60 passed in
mothematics, 50 in science and 20 students
passed in both subject find how
many
failed in both subject ? Aso show above information
student
in Venn-
bright
Venn-diagram
huan anatoa )
Sonnant Babase
eigshoos te
oloh
Answer:
10 student failed in both subjects.
Step-by-step explanation:
Since out of 100 students who appeared in grade VIII annual examination of Ram Janaki Secondary School, 60 passed in mathematics, 50 in science and 20 students passed in both subjects, to determine how many failed in both subjects the following calculation must be performed:
(100 - 20) - (60 - 20) - (50 - 20) = X
80 - 40 - 30 = X
40 - 30 = X
10 = X
Therefore, 10 student failed in both subjects.
Solve the system by substitution.
2x – 3y = 38
-x – 6 = y
Answer:
x=19,0
y=0,-38/3
Step-by-step explanation:
Answer:
x = 4, y = -10
Step-by-step explanation:
-x - 6 - y = 0
-x - y = 6
2x - 3y = 38, -x - y =6
2x - 3y = 38
2x = 3y + 38
Divide both sides by 2
x = 1/2(3y+38)
Multiple 1/2 times 3y + 38
x= 3/2 y + 19
-(3/2y + 19) -y =6
-3/2y - 19 - y = 6
-5/2y -19 = 6
-5/2y = 25
y = -10
x = 3/2(-10) + y
x = -15 + 19
x = 4
x = 4, y = -10
Enter the explicit rule for the geometric sequence.
120,40,403,409,4027
Answer:
120(1/3)^n-1
This is the correct answer for sure.
in the similar triangle ABE and triangle CDE,AB=10cm,ED=4cm,CD=8cm find the length of BC
9514 1404 393
Answer:
BE = 5 cm
Step-by-step explanation:
Your problem statement asks for the length of BC. There is no segment BC. Points B and C are in different triangles.
The length of segment BE can be found from the proportion ...
BE/DE = AB/CD
BE = DE·AB/CD = (4 cm)(10/8)
BE = 5 cm
PLEASE HELP ME- i don't know what to do
Answer:
5x-20=3x(alternate angle)
5x-3x=20
2x=20
x=20/2
x=10
now ,
2y +4y+5x-20=180(sum of angles of a triangle)
6y+50-20=180
6y+30=180
6y=180-30=150
y=150/6
y=25
hope this will help
please help 20 points
Answer:
Option C is correct
Step-by-step explanation:
[tex]a. - 3, - 12 \\ = 36[/tex]
[tex]b. - 6, - 6 \\ = 36[/tex]
[tex]c. \: \: 9, - 4 \\ = - 36[/tex]
[tex]d. \: \: 2,18 \\ = 36[/tex]
Hope it is helpful...