Answer:
Step-by-step explanation:
(a - b)(a +b) = a² - b²
1 - Sin² A = Cos² A
[tex]LHS = \frac{1}{1- Sin A} + \frac{1}{1 + Sin A}\\\\= \frac{1*(1 + Sin A)}{(1- Sin A)(1 + Sin A)} + \frac{1*(1- Sin A)}{(1 + Sin A)(1- Sin A)}\\\\= \frac{1 + Sin A+ 1 - Sin A}{1^{2}- Sin^{2} A}\\\\= \frac{2}{1 - Sin^{2} A}\\\\= \frac{2}{Cos^{2} A}\\\\= 2 Sec^{2} A[/tex]
2) Sec² A - Tan² A = 1
[tex]LHS = \frac{1}{Sec A - Tan A}\\\\=\frac{1*(Sec A + Tan A)}{(Sec A - Tan A)(Sec A + Tan A)}\\\\=\frac{Sec A + Tan A}{Sec^{2} A - Tan^{2} A}\\\\=\frac{Sec A + Tan A }{1}\\\\= Sec A + Tan A = RHS\\\\\\[/tex]
3) LHS = Cosec² A + Cot² A
= Cosec² A + Cosec² A - 1
= 2Cosec² A - 1 = RHS
[tex]4) LHS = \frac{Sec A}{Cos A}- \frac{Tan A}{Cot A}\\\\ = Sec A*\frac{1}{Cos A}-Tan A*\frac{1}{Cot A}\\\\ = Sec A * Sec A - Tan A * Tan A\\\\= Sec^{2} A - Tan^{2} A \\\\= 1[/tex]
There is a Chick-fil-a exactly 6 miles due east of Berkmar Middle School. There is also a Wal-Mart 6 miles due north of Berkmar Middle School. How far is the Chick-fil-a from the Wal-Mart? Leave your answer in its simplest radical form.
Answer:
6√2 miles
Step-by-step explanation:
Using the solution diagram drawn :
We have a right angled triangle, the distance between Walmart mad chick-FIL is a measure of the hypotenus of the right angled triangle ;
The hypotenus, = √(opposite² + adjacent²)
Hypotenus = √6² + 6²
Hypotenus = √(36 + 36)
Hypotenus = √72
Hypotenus = √36 * 2 = √36 * √2 = 6√2 miles
PLEASE HELP ASAPPPPP!!!!!!
You have 2 spreads, 3 meats, and 4 kinds of bread. How many different sandwiches can you make using one of each ingredient?
The total combinations are found by multiplying each option by each other.
2 spreads x 3 meats x 4 breads = 24 different combinations.
Answer : 24
Help plz I’m confused
Answer:
C.
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] is between 0 and 1
Only 1 point is between 0 and 1
C.
Which of the following values could be an absolute value?
Answer:
Step-by-step explanation: It could be 8,7, or 2. Because these are all positive
:)
Find the volume of each shape. Round your answer to two decimal places.with clear explanation.
Answer:
Volume = 111.33 in.³
Step-by-step explanation:
The volume of the shape = volume of the rectangular prism part + volume of the triangular prism part
✔️volume of the rectangular prism part:
V = L*W*H
Where,
L = 5.1 in.
W = 3.4 in.
H = 5.9 in.
V = 5.1*3.4*5.9
V = 102.306 in.³
✔️volume of the triangular prism part:
V = ½*b*h*l
b = 6 - 5.1 = 0.9 in.
h = 5.9 in.
l = 3.4 in.
V = ½*0.9*5.9*3.4
V = 9.027 in.³
✅Volume of the shape = 102.306 + 9.027
= 111.333 in.³
≈ 111.33 in.³ (approximated to 2 decimal places)
I need help with this problem
Step-by-step explanation:
y=sin ^-1(9/14) =44,27 degree
X= by pythegoras) =14 square - 9 square
= root 115
Average U.S. income is usually reported as
income.
a.
b.
seasonally adjusted
virtual
mean
C.
d.
median
what is the common difference of the following sequence?
3,5,7,9,11___
16,19,22,25___
Answer:
the first one goes by 4n-1
the Second sequence goes by 3n + 13
Step-by-step explanation:
using the formula an=a1+d(n-1)
The interior angle of a polygon is 100 . The other interior angle are all equal to 110. how many sides has the polygon?
There is a formula for the total interior angles of a polygon:
180(sides−2)=total interior angles
One of the angles is 100 and all the others are 110.
We can rewrite the equation.
Assume there is x number of sides.
There are x−1 number of angles, 110 degrees
180(x−2)=100+110(x−1)
180x−360=100+110x−110
70x−360=100−110
70x−360=−10
70x=3507x=35
x=5
There are 5 sides to the polygon.
We can check our answer:
180(sides−2)=total interior angles
Therefore it is true:
The polygon has 5 sides
I HOPE IT HELPS
HAVE A GREAT DAY
#Liliflim
please answer ASAP (math)
Answer: Undefined
Step-by-step explanation:
Replace x with -5
The denominator of a fraction is twice the numerator. If 3 is added to the numerator and 3 is subtracted from the denominator, the new fraction is 7/5. Find the original fraction.
Answer:
4/8
Step-by-step explanation:
d = 2n
n+3 = 7
d-3 = 5
substitute '2n' for 'd' in d-3=5
2n-3 = 5
2n = 8
n = 4
d = 2(4)
4/8
Write a number in which the digit 1 is worth 10 times as much as it is in 62,901
Answer:9
Step-by-step explanation:
No step
Answer:
the answer for this is 1
Step-by-step explanation:
cause ten times of 1 is 1.
Please don't confuse yourself with
1 times of 10.that one is 10
ten times of 1, means 1×1×1×1×1×1×1×1×1×1 it is still 1.
the second one is 10 ×1 =10.
20 5 4 2 X 2.5 12 1.5 3
Answer:
x = 10
Step-by-step explanation:
if two prisms are similar then the side lengths are proportional
2/4 = x/20 cross multiply expressions
40 = 4x divide both sides by 4
10 = x
If anybody needs gauthmath code for homework this is my code = ER326P
What type of solution would tho following system have?
y=(9/3)x-2
y=3x-2
One Solution
No Solution
Infinite Solutions
Answer:
one solution I think is the answer
Find the volume of the sphere. Round your answer to the nearest tenth.
Answer:
D. 268.1 m³
Step-by-step explanation:
Volume = 4/3 * 3.14 * 4³
Volume = 4/3 * 201
Volume = 268 ≈ 268.1
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Convert the fraction greater than one into a mixed number 9/4
Answer: 2 1/4
Step-by-step explanation:
what is the product of -8 1/3 and 3 2/5
Answer:
-28 1/3
Step-by-step explanation:
-8 1/3= -25/3
3 2/5= 17/5
-25/3*17/5= -28 1/3
A pair of elephants walk 26 meters on a straight slope. The height of the slope is 12 meters. Find the angle between ground and the top of the hill.
Answer:
36
Step-by-step explanation:
Solve P = 8/3 R + 30 for R.
Answer:
R = (3P-30)/8
Step-by-step explanation:
subtract 30 from each side to get:
P-30 = [tex]\frac{8}{3}[/tex]R
multiply each side by [tex]\frac{3}{8}[/tex] to get:
[tex]\frac{3}{8}[/tex] · P - 30 = R
R = (3P-30)/8
What is the outlier in the set of data? (2,4,6,8,9,9,45)
Answer:
45
Step-by-step explanation:
This is the outlier because it is much larger than all of the other numbers in the set.
A pizza is cut into 3 slices. The first piece was 2over 9 and the second one was 2 over 7. How big or small was the last piece
Answer:
2/5
Step-by-step explanation:
ok
A tortoise is walking in the desert. . It walks for 7 minutes at a speed of 8.75 meters per minute. For how many meters does it walk ?
Step-by-step explanation:
Well it would be 8.75 ×7 which is 61.25m
Easy please help me with this assignment
Step-by-step explanation:
y=x may be
may it helped u ....
Find the area of the figure below
Options
360 ft²
240 ft²
275 ft²
300 ft²
Answer:
The total area is 300 ft^2
Step-by-step explanation:
First find the area of the rectangle
A = l*w = 24*10 = 240
Then find the area of the triangle on the top
A = 1/2 bh
The base is 24 and the height is 15-10 = 5
A = 1/2 (24)*5 = 60
Add them together
240+60 = 300
The total area is 300 ft^2
Answer:
Total area of figure is 300 ft ²
Step-by-step explanation:
Finding the area of rectangle
We know that
Area of rectangle = length × widthWhere,
length of rectangle = 10 ftwidth of rectangle = 24 ftSubstitute the values into the formula
Area = 10 ft × 24 ft
multiply ✖ , we get
Area of rectangle = 240 ft ²
Similarly, Finding the area of triangle
We know
Area of triangle = 1 /2 × Base × HeightWhere,
Base of triangle = 24 ftHeight of triangle = 15 - 10 = 5 ftSubstitute the values
Area of triangle = 1 /2 × 24 ft × 5 ft
multiply
Area of triangle = 1/2 × 120 ft ².
divide , we get
Area of triangle = 60 ft ².
And Finally, Finding the total area
Total area of figure = Area of rectangle + Area of triangle
Total Area = 240 ft ² + 60 ft ²
➛ Total area of figure = 300 ft ²
At Bill’s Burger Barn, every time you buy a burger there is a one in eight chance of winning a free burger. Nicholas bought a hamburger every day for five days. What is the probability that Nicholas wins 1 free hamburger this week?
Answer:
im not sure about this one but my answer is 0.025.
Step-by-step explanation:
if there is a 1 out of 8 chance of getting a free burger, convert that into 1/8. divide that by 5 and you get 0.025.
Given that A=1/2πrh, make r the subject of the formula?
Answer:
r=1/2πhA
Step-by-step explanation:
..................
Therefore, the formula of [tex]r[/tex] is [tex]2A(\pi h)^{-1}[/tex].
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given equation is
[tex]A=\frac{1}{2}\pi rh[/tex]
So,
[tex]A=\frac{1}{2}\pi rh\\\\r=2A(\frac{1}{\pi h})\\\\r=2A(\pi h)^{-1}[/tex]
Hence, the formula of [tex]r[/tex] is [tex]2A(\pi h)^{-1}[/tex].
To know more about the equation
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Watch help video
Solve for 2. Round to the nearest tenth, if necessary.
5-3
O
52
х
N
Answer:
x = 3.3
Step-by-step explanation:
Reference angle = 51°
Hypotenuse = x
Adjacent = 5.3
Apply trigonometric function CAH, which is:
Cos 51° = Adj/Hyp
Cos 51° = 5.3/x
x*Cos 51° = 5.3
x = 5.3/Cos 51°
x = 3.3 (nearest tenth)
Can y’all help me on question 6?!
Answer:
B
Step-by-step explanation:
To find the area of a parallelogram you do A=(b)(h) so 20x8=160. It's 160ft^2 because area is measured in square units.
Keke's favorite book weighs 2lbs 14oz. How many total ounces does her book weigh? *
Answer:
i think it is 46
Step-by-step explanation:
Answer:
2.9lbs
Step-by-step explanation:
there are 14oz in a pound so 14/16 is 0.875. Rounded up to .9lbs.