Prove that
cos 9°+sin 9°/cos9°-sin9° =cot 36°
plzz fasstttt i need to writw this!!!!!!!!!
Answer:
Step-by-step explanation:
LHS = (Cos9° + Sin9°) / (Cos9° - Sin9°)
Divide by Numerator and Denominator by Cos9°
LHS = (1 + Tan9°) / (1 - Tan9°)
= (Tan 45° + Tan 9°) / (1 - Tan 45° * Tan 9°)
= Tan (45°+9°)
= Tan 54°
= Cot 36°
hope it helps :)
What is Ac Brainliest
Answer:
Ac is hypotenuse as c=90
Answer:
6
Step-by-step explanation:
let us call dc x
root(16+x2) =ac
root(25+x2)=bc
using the pytogoren theroum for traingle ABC we get
41+2x2=9 squared
41+2x2=81
2x2=40
x2=20
x=2 root 5
so then plugging the values in
you know ac=root(16+x2)
=root(36)
=6
HELP ASAP 10) Determine the volume; just answer without the units
B
9.5 in.
3.75 in.
8 in.
Answer:
Volume is 285
Step-by-step explanation:
We start by calculating the area of the base
Mathematically, we have a rectangle as the base
So, the area of the base will be;
3.75 * 8 = 30
We now multiply this by the height to get the volume
we have this as:
30 * 9.5 = 285
The parks department is planting trees. Maple trees cost $50 and Oak trees cost $25. The tree planting budget is $800. What is the x-intercept in this situation
Answer:
looooook ittttt uppppppps bwbebee
Step-by-step explanation:
bagsywbwbebne
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e
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ejdjdndndeebbebe
Answer: 50 or 25
Step-by-step explanation:
i apologize if i am wrong
Write an equation of the line that passes through (−4,−5) and is parallel to the line y=−4x−1.
Equation: y=
Answer:
step 1. y - y1 = m(x - x1). This is the standard line equation given a point and a slope.
step 2. parallel lines have the same slope so the slope is -4.
step 3. y - (-5) = -4(x - (-4)).
step 4. y + 5 = -4x - 16.
step 5. y = -4x - 21.
Factoriza el siguiente trinomio 6x^2 – 26x – 200
Answer:
2 (x + 4)(3x - 25)
Step-by-step explanation:
[tex]6 {x}^{2} - 26x - 200[/tex]
[tex]3 {x}^{2} - 13x - 100[/tex]
[tex]2 (x + 4)(3x - 25)[/tex]
Finding which number supports the idea that the rational numbers are dense in the real numbers?
Answer:
an integer between –11 and –10
a whole number between 1 and 2
a terminating decimal between –3.14 and –3.15
Step-by-step explanation:
Solve the system by substitution.
y =
-4x
y = x - 5
Answer:
x=-1
Step-by-step explanation:
thanks I'm done pls
Answer: 1,-4
Step-by-step explanation: I noticed there are no steps for this one so I will go ahead and put them.
-4x+x=x-5+-x
combine:
-5x/5=-5/-5
x=1
Substitute:
y=-4x(1)
y=-4
so we get 1,-4
We have 6 face red cards (JQK x 2) and 16 black cards, so a total of 22 cards.The red face cards and the black cards numbered 2-9 are put into a bag. Four cardsare drawn at random without replacement. Find the following probabilities:
a) All 4 cards are red
b) 2 cards are red and two cards are black
c) At least one of the red cards is red.
d) All four cards are black
Answer:
I dont know
Step-by-step explanation:
only doing it for points
Find the equation of the line through point (−3,8) and perpendicular to y=27x+117.
Answer:
y - 8 = (-1/27)(x + 3)
Step-by-step explanation:
the slope of a line perpendicular to the given y = 27x + 117 is the negative reciprocal of 27, that is, -1/27. Using the point-slope form y - k =m(x - h) to write the new equation, we get:
y - 8 = (-1/27)(x + 3)
What is the surface area for this design?
Answer:
Surface Area = 157 in^2
Step-by-step explanation:
Surface area is the area of each side added together.
Front = Trapezoid = b1 + b2 * h 5 + 9 * 5 = 27.5
2 2
Back = Trapezoid = b1 + b2 * h 5 + 9 * 5 = 27.5 27.5
2 2 27.5
Right = Rectangle = l * w 6.4 * 5 = 32 32
Left = Rectangle = l * w 5 * 5 = 25 25
Bottom = Rectangle = l * w 9 * 5 = 45 45
Top = Rectangle = l * w 5 * 5 = 25 25
157 in^2
On Robert’s shelf are 6 mystery books, 2 science fiction books, 3 adventure books, & 4 history books. Robert will randomly choose 1 book to read, not put it back and then grab another book to read. What is the probability that he chooses an adventure book and then a history book?
Answer:
2/35
Step-by-step explanation:
total of 15 books
P(Adv,Hist) = 3/15 · 4/14 = 1/5 · 2/7 = 2/35
Tia cut 4-meter 8-cenimeter wire into 10 equal pieces. Martha cut a 540-centimeter wire into 9 equal pieces. How much longer is one of Marta's wires than one of Tia's?
Answer: 19.2 cm
Step-by-step explanation:
A meter is equal to 100 centimetres so the total length of Tia's wire in centimetres is:
= 4.08 * 100
= 408 cm
She cuts this into 10 equal pieces:
= 408 / 10
= 40.8 cm
Martha cuts her 540 cm wire into 9 pieces. Each piece is:
= 540 / 9
= 60 cm each
The difference is:
= 60 - 40.8
= 19.2 cm
Find the missing length of the triangle.
A = 3.4 cm
C = 1.6 cm
B = ?
Answer: b = 3
Step-by-step explanation:
1. a^2 + b^2 = c^2
2. 1.6^2 + b^2 = 3.4^2
3. 2.56 + b^2 = 11.56
4. 11.56-2.56 = b^2
5. 9 = b^2
6. 3 = b
Bryce and two of his friends went to eat at Texas Roadhouse. They split the bill evenly between them. Bryce share was $14.85. Write and solve an equation to find the total,t, of the bill .( please help asap and show all your work please)
As there are three people in total, the number of total shares is 3.
Let 1 share = x = $14.85
t = 3x
t = 3 (14.85)
= $44.55
Hope this helps!
Select all ordered pairs that correspond to input-output pairs of the function y = −7x + 6.
Answer:
There are no options, so i will answer in a general way.
In a function:
y = f(x)
The output is y, and the input is x, and the ordered pair is written as (x, y)
In this case, we have the function:
y = -7*x + 6
Then we need to have different inputs and then find the outputs for each.
For example, if x = 1.
y = -7*1 + 6 = -1
Then we have the ordered pair (1, - 1)
if x = 0
y = -7*0 + 6 = 6
then we have the ordered pair (0, 6)
The general ordered pair is written as:
(x, y = -7*x + 6)
or:
(x, -7*x + 6)
Where you only need to replace the value of x.
PLz help I will give brainliest!!!!! and extra points
Hey there!
The answer to your question is [tex]95.55[/tex]
Formulas:
Area of semi-circle = [tex]\frac{1}{2}(\pi r^2)[/tex]
Area of rectangle = [tex]lw[/tex]
Area of triangle = [tex]\frac{bh}{2}[/tex]
Now solve:
semi-circle
[tex]\frac{1}{2}\pi3^2[/tex]
[tex]\frac{1}{2}\pi9[/tex]
[tex]4.5\pi[/tex]
(We will use 3.14 as approx. for pi)
[tex]4.5 * 3.14\\23.55[/tex]
rectangle
[tex]10(6)\\60[/tex]
triangle
[tex]\frac{4(6)}{2}[/tex]
[tex]\frac{24}{2} \\12[/tex]
Now add them all together:
[tex]23.55+60+12\\95.55[/tex]
Have a terrificly amazing day!
peter weighs 8kg heavier than Ailen.If 5/7 of Peter weight is 35kg,what is their total weight?
5/7 = 35 kg
1/7 = 7 kg
Peter weighs 49 kg
49 - 8 = 41 kg
Ailen weighs 41 kg
49 + 41 = 90kg
Their total weight is 90 kg
Solve the following:
4³/(-12+2²)
--------------------------
(2x3)²+(-5x2x3)+2
Answer:
1. =−8
2. =4x^6−5x^5+2
Step-by-step explanation:
happy to help ya :)
The label on a 1.25 pound bag of wildflower seeds states that it will cover an area of 280 square feet. Based on this information, what is the number of square feet that 1 pound of wildflower seeds will cover?
Answer:
1 pound of sunflower seeds will cover about 187 square feet of land
Step-by-step explanation:
To solve this problem, we will have to assume that there is a linear relationship between the net weight of the wildflower seeds and the area of land it can cover when planted.
Based on this assumption, we can find the number of square feet that a 1 pound bag will cover, by setting up a simple relationship as shown below:
if 1.5 pounds covers 280 square feet
1 pound will cover x square feet.
by cross multiplying, we have that
x = (280 X 1) / 1.5 = 186.66 square feet.
Therefore, 1 pound of sunflower seeds will cover about 187 square feet of land
Find the expression that represents the sum of 2i3+5i2-6i and 2i2-3i+8.
Dry-by-step explanation:
Kznyuszc kubysadnuailsdaieubvaeryulbvaulybeffn
Ioaer
6) Two boats set off from X at the same
time (below). Boat A sets off on a bearing of 325° and with a velocity of
14 km/h. Boat B sets off on a bearing of 2350 with a velocity of 18 km/h.
Calculate the distance between the boats after they have been travelling
for 2.5 hours. Give your answer to the nearest metre.
A
N
X Х
B
Answer:
The distance between the two boats after 2.5 hours is 57 m.
Step-by-step explanation:
The distance covered by each boat after 2.5 hours are:
speed = [tex]\frac{distance}{time}[/tex]
distance = speed x time
For boat A, speed = 14 km/h and time = 2.5 hrs.
So that,
distance = 14 x 2.5
= 35 km
For boat B, speed = 18 km/h and time = 2.5 hrs.
So that,
distance = 18 x 2.5
= 45 km
The distance between the two boats after travelling 2.5 hours can be determined by applying the cosine rule. Let the distance be represented by x, so that:
[tex]a^{2}[/tex] = [tex]b^{2}[/tex] + [tex]c^{2}[/tex] - 2bc Cos A
[tex]x^{2}[/tex] = [tex]45^{2}[/tex] + [tex]35^{2}[/tex] - 2(45 x 35) Cos [tex]90^{o}[/tex]
= 2025 + 1225 - 3150 (0)
= 3250
x = [tex]\sqrt{3250}[/tex]
= 57.0088
x = 57.0 m
The distance between the two boats after 2.5 hours is 57 m.
help me please how do i do this
Answer:
41 degrees
Step-by-step explanation:
In a parallelogram, opposite angles are equal, so:
[tex]3x+11=5x-9\\-2x = -20\\x=10\\\\E = 3x + 11\\E = 3 * 10 + 11\\E = 30 + 11\\E = 41[/tex]
Write down the next two terms in this number pattern
2, 5, 9, 14, 20,0
Answer:
+3,+4,+5,+6,-20
Step-by-step explanation:
its:
2+3=5
5+4=9
9+5=14
14+6=20
20- 20=0
i believe so
What is the missing value of 5x-2y=30 (8,)
Answer:
In this equation, we can start by understanding that "x" has a value of 8, as given in the ordered pair. When multiplied by 5, this leads to "40 - 2y = 30". Next, we can subtract 40 from both sides of the equation. This leads us to a value of "-2y = -10". The next step would be to divide both sides by -2 as a way of isolating "y", which leads us to a final value of "y = 5". The final ordered pair would be (8,5).
Theequationforlinefcanbewrittenasy = –3x − 6
. Line
gisparalleltolinefandpassesthrough
(6, –8) . What
istheequationofline
g ?
Write the equation in slope-intercept form. Write the numbers in the equation as proper fractions, improper fractions, or integers.
Answer:
Step-by-step explanation:
f(x) = -3x-6
slope of line is -3
parallel lines have the same slope
point-slope equation for line of slope -3 that passes through (6,-8):
y+8 = -3(x-6)
put equation into slope-intercept form:
y = -3x + 10
Answer:
[tex]y = - 3x + 10[/tex]
Step-by-step explanation:
We are asked to find a line parallel to line f
[tex] - 3x - 6[/tex]
and passes through 6,-8.
Parallel lines have the same slope so our new line will also has-3 as it slope
wo using the slope intercept form let update our equation so far.
Slope intercept is
[tex]y = mx + b[/tex]
where m is the slope and b is the y intercept
plug in -3 for the slope since our new equation must be parallel.
[tex]y = - 3x + b[/tex]
Now plug 6 for x and -8 for y.
[tex] - 8 = - 3(6) + b[/tex]
[tex] - 8 = - 18 + b[/tex]
[tex]b = 10[/tex]
Our equation is
[tex]y = - 3x + 10[/tex]
graph the equation...
0.5s+4a=15
Answer: look at the picture if you want me to solve for s or a here
Step-by-step explanation: hope this help
PLEASE HELP THIS IS DUE TODAY!!
Answer:
254 in
Step-by-step explanation:
1 yard = 36 in
7 yards = 36 (7)
7 yards = 252
add 2
254 in
:)
Answer: 254 inches
Step-by-step explanation:
1 yard= 36 inches x 7 (yards) + 2 inches= 254 inches
What is the slope of the line?
Answer:
2
Step-by-step explanation:
from (0,1) to (1,3)
is up 2 over 1
2/1=2
hope this helps!
Cole buys a new laptop for $335. He makes a down payment of $50 and pays the rest in 6 equal monthly payments, p. What equation represents the relationship between the cost of the laptop and Cole’s payments?