Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
sin²x + cos²x = 1 , then sin²x = 1 - cos²x
Consider the left side
sin²a - sin²b
= (1 - cos²a) - (1 - cos²b)
= 1 - cos²a - 1 + cos²b
= cos²b - cos²a
= right side , thus verified
Edward deposited $10,000 into a savings account 2 years ago. The simple interest rate is 2%. How much money did Edward earn in interest?
Step-by-step explanation:
Simple interest = PRT/100
S I = $10000 x 2 x 2
_____________
100
SI = $400
Answer:
$ 10,400
Step-by-step explanation:
Interest = P( 1 + rt)
10000 { 1 + ( 0.02 x 2 )
= 10000 * 1.04
= 10, 400
Jon went to a restaurant and gave a 20% gratuity of $15 on the meal. How much was the original amount of the bill?
Answer:
$75
Step-by-step explanation:
$15 divided by 0.2 = $75
0.2 = 20%
3 The table shows the prices of some breakfast items at a restaurant. Sara ordered 2 eggs, a
slice of bacon, and a glass of orange juice for breakfast. The sales tax for the order was
$0.48. She paid for her breakfast with a $10 bill.
Breakfast Menu
Item
Price
One egg
Slice of bacon
Glass of orange juice
$1.69
$1.49
$1.09
How much change should Sara receive from the $10 bill?
A $3.56
B $6.44
C $5.25
D$4.75
Bentley took a ride on Rudolph’s back. At 8:00 pm, he counted 68 stars. At 10:00 pm, he counted twice as many stars. At 12:00 am, he counted five times more stars than his first count.
A. How many stars did Bentley count at 10:00 pm?
B. How many stars did Bentley count at 12:00 am?
Answer:
A. 136 stars
B. 340 stars
Answer:
At 10 pm he counted 136 stars and at 12 pm he counted 340
Step-by-step explanation:
for 10 pm:
68 x 2
for 12 pm:
68 x 5
Question #3: Complete the statement below to show the correct value of 100%. Part A: The expression 100 3 = 10 because 100 = 102 and = 101 = 10. Po Part B: When simplified, the answer is rational irrational
Answer:
Step-by-step explanation:
Part A.
Expression [tex](100)^{\frac{1}{2}}[/tex] = 10
Because 100 = [tex](10)^{2}[/tex] and [tex][(10)^2]^{\frac{1}{2}}=10^1=10[/tex]
[Since, [tex](a^{2})^{\frac{1}{2}}=a^{2\times \frac{1}{2}}=a^1[/tex]]
Part B.
When simplified, the answer is RATIONAL.
[Since, 10 can be written as [tex]\frac{10}{1}[/tex]]
What is the approximate circumference of the circle shown below?
A. 48.7 cm
B. 24.3 cm
C. 97.3 cm
D. 39.5 cm
Answer:
The answer is A. 48.7
Step-by-step explanation:
The approximate circumference of the circle is,
⇒ C = 48.7 cm
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
A circle is shown in image.
And, Diameter of circle = 15.5 cm
Since, WE know that;
Circumference of circle is,
C = πd
Where, d is diameter of circle
Hence, The approximate circumference of the circle is,
⇒ C = 3.14 × 15.5
⇒ C = 48.7 cm
Thus, the circumference of the circle is,
⇒ C = 48.7 cm
Learn more about the circle visit:
https://brainly.com/question/24810873
#SPJ7
Which point on the graph represents they-intercept
Answer:
Where's the graph kid sir?
Step-by-step explanation:
Answer:
The y-intercept on a sloped line is where the line crosses the y-axis. Taking a look at your graph, Find a point where the line crosses the y-axis.
In costal regions, some animals live above sea level and other animals live in the ocean. A sea star can be found at an ocean depth of two feet. How can you represent an ocean depth of two feet? 1.What do you know 2.What do you need to find 3.What is the answer
Answer:
- 2 feets
Step-by-step explanation:
Given that sea star can be found at an ocean depth of 2 feets ;
An ocean depth of 2 feets can be represented as :
Sea level - depth = 0 - 2 = - 2 feets
Hence, it can be concluded that sea star lives in the ocean
which could describe the graph of a nonproportional relationship
A- the Y - intercept is positive
B- the y-intercept is 0
C- the line intersects the origin
D- the y- intercept is negative
can someone help me plz
Answer: The answer is 1 and 2/3
Hope this helps you bye
49, 50, 52, 58, 61, 63, 66, 68
Part A What is the median of the data set?
Answer
59.5
Step-by-step explanation:
This is what I think!
Find the explicit formula for the given sequence 1/4, 3/4, 5/4, 7/4
Step-by-step explanation:
d=(3/4)-(1/4)=(5/4)-(3/4)=(7/4)-(5/4)=1/2
then it is an arithmetic sequence
by using this equation :
a(n) = a1 +(n-1)d
and we have : a1=(1/4), d=(1/2)
So:
Explicit formula: a(n) = (1/4) +(n-1)*(1/2)
hope this helps
Answer:
Step-by-step explanation:
d=(3/4)-(1/4)=(5/4)-(3/4)=(7/4)-(5/4)=1/2
then it is an arithmetic sequence
by using this equation :
a(n) = a1 +(n-1)d
and we have: a1=(1/4), d=(1/2)
So:
Explicit formula: a(n) = (1/4) +(n-1)*(1/2)
16x2 + 4x2 – 2x – 12x2 + 4x
Answer:
8x^2 + 2x
Step-by-step explanation:
Help me with this please!!
Answer:
DE ≅ XY and XY ≅ YZ, then DE ≅ YZ
Thus, this statement is illustrated or validated by the 'Transitive Property of Segment Congruence'.
Step-by-step explanation:
We know that if two segments are congruent to the third segment, then they will be congruent to each other. This is called Transitive Property of Segment Congruence.
For example, Let suppose
segment LM = 30 unitssegment AB = 30 units segment BC = 30 unitsLM ≅ AB and AB ≅ BC, then LM ≅ BC
30 ≅ 30 and 30 ≅ 30, then 30 ≅ 30
Thus, this validates the 'Transitive Property of Segment Congruence'.
Now Given
DE ≅ XY and XY ≅ YZ, then DE ≅ YZ
Thus, according to the above discussion, this statement is illustrated or validated by the 'Transitive Property of Segment Congruence'.
A chef is filling one sink with water, while emptying another. The first sink is empty and is being filled at a rate of 4 gallons per minuet. The second sink is full and is being drained at a rate of 2 gallons per minute. If both sinks hold 24 gallons of water, how many minutes will it take for the two sinks to have the same amount of water?
Calculate the square root of 1/2
Answer:
I looked it up and it said 0.5
Which type of transformation is the only one of the four that is not a rigid motion and other words which type of transformation involves the size changing a or a a rotation or a dilation or a a translation ot a reflection
Step-by-step explanation:
Dilation changes the size of the shape and is not a rigid motion.
Answer:
Dilation changes the size of the shape and is not a rigid motion.
explanation:
Hope it's answer you plz mark as Brainlist
Complete the proof. Someone please help me answer this!
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
Answer:
m = n = 20
Step-by-step explanation:
Here, we want to find the missing side lengths
For a 45-45 triangle, the lengths have a side ratio of;
1:1: √2
We should understand that the triangle is isosceles ( opposite and adjacent are equal)
So n = m
So what we just need to do here is divide 20 √2 by √2
Mathematically, that would be;
20 √2/√2 = 20
i need help please lol
Answer:
-2 + 6!
Step-by-step explanation:
Since the last two are negatives back to back, you change them to positive to make the problem easier! Anytime the last two signs are back to back negatives, you can do that, but never change the first sign!
I hope this helps!!
Answer: THE PINK ONE (-2+6)
Step-by-step explanation: WE DID THIS IN MATH SO I KNOW. IT'S THE PINK ONE! (-2+6)
If a snowman has 3 old felt hats and 4 scarves from which to choose, how many different hat/scarf outfits can he wear?
Answer:
12 hat/scarf outfits
Step-by-step explanation:
If a snowman has 3 old felt hats and 4 scarves from which to choose, how many different hat/scarf outfits can he wear?
We solve this question using the fundamental counting principle.
This states that:
When we have two events, a and bthe number of ways both events can happen is a × b
From the above question, our two events is
a = 3 old felt hats
b = 4 scarves
Hence, the different hat/scarf outfits can he wear is given as
3 × 4 = 12 hat/scarf outfits
someone please do this it’s due tomorrow!
Answer:
is this the whole question? is there a second part to it?
Cho is making a rectangular garden, where the length is x feet and the width is 6x + 6 feet. He wants to add garden stones around the perimeter of the garden once he is done. If the garden is 6 feet long, how many feet will Cho need to cover with garden stones? Cho will need to cover _______ feet with garden stones.
PLZ HELP WITH THIS MATH QUESTION ITS HOMEWORK
Answer:
both the second and third one
Find the distance between the two points rounding to the nearest tenth (if necessary).
(1, -5) and (4, -1)
Understanding:
This can be easily solved by using the distance formula which is
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }\\[/tex]
[tex]d:[/tex] distance
[tex](x_{1},y_{1}):[/tex] coordinates of the first point, in our case it is [tex](1,-5)[/tex]
[tex](x_{2},y_{2}):[/tex] coordinates of the second point, [tex](4,-1)[/tex]
Solution:
[tex]d=\sqrt{[(4)-(1)]^{2}+[(-1)-(-5)]^2}\\=\sqrt{(3)^2+(4)^2}\\= \sqrt{9+16} \\=\sqrt{25}\\= 5[/tex]
The distance between the two points is 5.
PLS HELP AND EXPLAIN HOW TO DO THIS, ILL GIVE BRAINLIEST
Answer:
C. 8
Step-by-step explanation:
f(5) =1/4(2)^5
because x=5
f(5)=1/4(32)
because 2^5 is 2*2*2*2*2=32
f(5)=8
because 1/4*32 or 32/4 is 8
Hope this helped :) I haven't even learned f(x) in school yet haha. I'm in 8th grade, but I took extracurriculars for math and I'm on the math team. Ergo, I know it's right!
please hurry i only have 1 hour
Answer:
C.) 4 sqrt2
Step-by-step explanation:
ON=MN
therefore you can use pythagereum theorum here in a right triangle
as the hypotnuese is 8 you know that ON and MN is equal to the sqrt of 32 each. As A^2+ B^2=C^2
C=8 so C^2= 64 therefore,
A^2+ B^2=64 therefore,
A^2= 32 and B^2=32
you take the sqrt of 32 you get 4sqrt2
What is an adjective that starts with t and means sweet? Okay, here's context, I'm making a u s e r n a m e, and one of the adjectives is "taro" If not, what are just some good u s e r n a m e s
Treat
The question confuses me but treat starts with t, is an adjective, and rhymes with sweet
It usually takes Claude 40 minutes driving at 48 miles per hour to go from home to work. But due to road maintenance today, Claude has to take a detour, which makes the trip 8 miles longer than usual. What is the minimum speed Claude should travel so that he can reach the destination in less than 48 minutes?(1 point)
Answer: 50 miles per hour
Step-by-step explanation:
Find out the length of the normal route.
Distance = Speed * time
= 48 * 40/60
= 32 miles
The detour is 8 miles longer so the length is;
= 32 + 8
= 40 miles
What speed should he travel at to make it in 48 minutes. Remember speed is in miles per hours.
Speed = Distance/ time
= 40 / (48/60)
= 50 miles per hour
Answer:
50 miles per hour :)
Step-by-step explanation:
Distance = Speed * time = 48 * 40/60 = 32 miles
Detour is 8 miles longer so = 32 + 8 = 40 miles
In 48 minutes. Remember speed is in miles per hours.
Speed = Distance/ time
50MPH= 50 miles per hour
I hope that helps
Solve the system of equations using substitution.
y = −2x + 1
4x + 2y = −2
No solution
Infinitely many solutions
(0, −4)
(−4, 0)
Answer:
no solution
Step-by-step explanation:
x cancel out each other
Answer:
no solution
Step-by-step explanation: