Answer:
the answer to your question is 4 3/8 , hope this helps have a good rest of your day :)
prove that:
[tex] {sin}^{2} \: \frac{7\pi}{8} + \: {sin}^{2} \: \frac{5\pi}{8} = 1 [/tex]
Recall that
sin²(x) = (1 - cos(2x))/2
so that
sin²(7π/8) = (1 - cos(7π/4))/2
sin²(5π/8) = (1 - cos(5π/4))/2
Then
sin²(7π/8) + sin²(5π/8) = (1 - cos(7π/4) + 1 - cos(5π/4))/2
… = 1 - 1/2 (cos(7π/4) + cos(5π/4))
… = 1 - 1/2 (1/√2 - 1/√2)
… = 1
Amelia needs to buy some cat food. At the nearest store, 5 bags of cat food cost $11.25. How much
would Amelia spend on 2 bags of cat food?
Amelia would spend $ on 2 bags of cat food.
Answer:
$4.50
Step-by-step explanation:
the cost for one bag is $2.25 so two will be $4.50.
How many calories will Jacob burn in 1 minute while roller-skating????
fast plz
1 minute of P.E. usually burns 11 Kcals.
70% of it is 14 minutes
Answer:
the correct answer is above
Step-by-step explanation:
mark me as brainliest
3x + 2y = 8
2x + 5y = -2
Solve the simultaneous equations.
x=
y=
Answer: (4,-2)
Step-by-step explanation:
3x + 2y = 8
2x + 5y = -2
so: x= 8÷3 - 2÷3 y
and 2x + 5y= -2
2( 8÷3 -2÷3y) + 5y = -2
y= -2
x= 8÷3 - 2÷3 x (-2)=
x= 4
Solve 14x+3=12x+5 . please help.
Answer:
1
Step-by-step explanation:
14 x + 3 = 12x + 5
or, 14 x - 12x = 5 - 3
or, 2x = 2
or, x = 2÷2
therefore , x = 1
hope this answer will help u.
Help needed ASAP will give brainliest and 5 stars rate
Answer: window washer a charges 150+ $11 per window window washer b charges $36 per window for what number of windows will window washer a cost less than window washer b
Step-by-step explanation: B
The ratio 3 1/4 : 1 1 /2 has a unit rate of 2 1/3 true or false
Answer:
True
Step-by-step explanation:
THIS is because if you sum them that's 42/6 you divide them by two each you get 21/3
what is the GCF of:
10x2 and 15x
Help
Answer:
5x I think since you need to remember the variable
Over the past few years, Michael has increased his fee for mowing lawns from $5.00 per hour to $11.00 per hour. What percent did Micael's fee increase?
Answer:
120%
Step-by-step explanation:
Over the past few years, Michael has increased his fee for mowing lawns from $5.00 per hour to $11.00 per hour. What percent did Micael's fee increase?
The formula for Percentage increase is given as:
Increase/Initial amount × 100
Increase = New amount - Initial amount
From the above question, our increase = $11 - $5 = $6
Therefore,
Percentage increase = $6/$5 × 100
= 120%
Michael's fee increased by 120%
If you are driving 75 MPH and if you sneeze you lose sight of the road for 6 seconds. How many feet do you drive in those 6 seconds?
Answer:
50
Step-by-step explanation:
A man drives 500 metres up a road which is inclined at 30° to the horizontal. How
high above his starting point is he?
Step-by-step explanation:
Height = 500sin30° = 500(0.5) = 250.
The height of the man above his starting point is 250m
Trigonometry identityTrigonometry identity expressed the sides of the triangle with the angles.
According to the SOH CAH TOA identity
sin theta = opp/hyp
sin 30 = H/500
Cross multiply
H = 500sin30
H = 500(0.5)
H = 250
Hence the height of the man above his starting point is 250m
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An off road sport utility vehicle is advertised with a purchase price of $43,995.00. Shelli is considering the following options in buying the SUV.
Option 1: Purchase the Vehicle with a Loan
Shelli will make a down payment of $8,000 if she chooses this option.
The monthly payments for a loan at 7.95% per year on the balance will be $765.44 per month for 5 years.
Option 2: Lease the Vehicle
No down payment is required, but Shelli will make a down payment of $8,000 if she chooses this option.
The lease rate is 7.75% per year for 4 years.
The monthly lease payment is $626.25 for 4 years.
To buy the SUV at the end of the lease, it's buyout is 38% of the original value.
Calculate the total cost to own the SUV for each option. Which option is the cheapest for Shelli and by how much?
Option 2, by $851.70
Option 1, by $1,002.75
Option 2, by $1,002.75
Option 1, by $851.70
Answer:
Option 1, by $851.70Step-by-step explanation:
Option 1 total:
$8000 + $765.44*5*12 = $53926.40Option 2 total:
$8000 + $626.25*4*12 + 0.38*$43995 = $54778.10The difference:
$54778.1 - $53926.40 = $851.70As we see the option 1 is cheaper by $851.70
Correct answer choice is the last one
Yuri plots point S at (Negative 1, 2.5). Which graph shows the location of point S? On a coordinate plane, point S is 1 unit to the right and 2.5 units up. On a coordinate plane, point S is 2.5 units to the right and 1 unit down. On a coordinate plane, point S is 1 unit to the right and 2.5 units down. On a coordinate plane, point S is 1 unit to the left and 2.5 units up.
Answer:
On a coordinate plane, point S is 1 unit to the left and 2.5 units up.
Step-by-step explanation:
negative 1 is one unit left of 0 on the x-axis, and 2.5 is 2.5 units up on the y-axis
Answer:
its D
Step-by-step explanation:
Find all other zeros of P(x) = x + 2x² - 16, given that -2 + 2i is a zero.
(If there is more than one zero, separate them with commas.)
PLEASE I AM STUCK
Given :
Find all other zeros of P(x) = x + 2x² - 16, given that -2 + 2i is a zero.
To Find :
The other zero.
Solution :
We know, complex solutions only comes in pair, means if one solution of a quadratic equation is complex then other is also complex.
Also, both the roots are conjugate of each other.
( Conjugate of (a + ib) is (a - ib) )
So, conjugate of (-2 + 2i) is (-2 - 2i).
Therefore, other zero of the given equation P(x) = x + 2x² - 16 is ( -2 - 2i ).
Michael went shopping with x dollars. He spent $7 on a toy. How much money does he have left?
Answer:
bro let me tell you rn, your teacher (or whoever made this) took 9 hits off of a crack pipe before writing this question.
Answer:
The equation would be x-7=total
Step-by-step explanation:
He has x dollars and spends 7 so you would write x-7= ? and since we dont know x or the amount left we would write x-7=total.
HOPE THAT HELPS!!!
Multiply (x + - 1)3
(x + 1)3 = (x + 1)(x + 1)2
= (x + 1)(x2 + 2x + 1)
= x + 1x2 +
x +
Answer: (x +-1)3 (x + 1)3 = (x + 1)(x + 1)2
= (x + 1)(x2 + 2x + 1)
= x3 + 3 x2 + 3x + 1
Step-by-step explanation:
Multiplication is a method of finding the product of two or more numbers
when we multiply (x + - 1)3 (x + 1)3 we get (x³-3x²+3x-1)( x³+ 3 x² + 3x + 1)
What is Multiplication?Multiplication is a method of finding the product of two or more numbers
We need to multiply
(x + - 1)³ (x + 1)³
(x - 1)³=(x-1)(x - 1)²
=(x-1)(x² - 2x + 1)
=x³-2x²+x-x²+2x-1
=x³-3x²+3x-1
(x + 1)³ = (x + 1)(x + 1)²
= (x + 1)(x² + 2x + 1)
= x³+ 3 x² + 3x + 1
So (x³-3x²+3x-1)( x³+ 3 x² + 3x + 1)
Hence when we multiply (x + - 1)3 (x + 1)3 we get (x³-3x²+3x-1)( x³+ 3 x² + 3x + 1)
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Simplify the following expression: `12+5(3+1)`
Answer:
12+5(5+1)
=42
oof -.-
Help me please!
Please really quick
Answer:
D
Step-by-step explanation:
I hope this helps!!! Please mark me brainliest!!
If there are 15 oat and 12 blueberry muffins in one package, and 45 blueberries and 36 oats on another package. Are the ratios of blueberry to oat the same for both packages? Justify your answer.
Answer:
yes there the same
Step-by-step explanation:
there the same because 15 oats to 12 blueberries simplified equals to 5:4
and 45 blueberries to 36 oats are simplified to lowest equals 5:4 and this makes them equivalent
tn = -2n + 3, find t4
Substitute n = 4
t(4)=-2(4)+3
-8+3= -5
therefore t(4) = -5
Answer for 30 points!!
Answer:
75 square ft
Step-by-step explanation:
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. So 25 times 3 = 75
Answer: 75 square feet
I hope this helped!
Write 1
7
2
as a decimal number.
Answer:
1.72 i guess
Step-by-step explanation:
Answer:
1.0, 7.0, and 2.0
Step-by-step explanation:
What is the length of a diagonal of a cube with a side length of 1 cm?
O v2 cm
O v3 cm
OV4 cm
OV5 cm
9514 1404 393
Answer:
√3 cm
Step-by-step explanation:
The square of a face diagonal is given by the Pythagorean theorem:
(face diagonal)² = 1² + 1² = 2
Then the square of the space diagonal is ...
(space diagonal)² = 1² +2 = 3
So, the length of the space diagonal is ...
space diagonal = √3 cm
_____
In the attached diagram, AB and BC are edges of a face of the cube. AC is the diagonal of that face, a "face diagonal." That makes a right triangle with edge CD of the cube. The hypotenuse of that triangle is AD, the "space diagonal". As we have shown, the length of the space diagonal is ...
AD² = CD² +AC² = 1² +(√2)² = 3
AD = √3
1). Ben will toss a penny, a nickel, and a dime. The tree diagram shows the possible
outcomes.
H
H
T
H
H
T
T
H
H
T
т
H
T
How many different outcomes are possible?
Answer:
3 possible outcomes I think
Answer:
i think it is about 3 possible outcomes
Step-by-step explanation:
I need HELP PLZZZZ THIS IS DUE AT 7:00
Answer:
27.5
Step-by-step explanation:
1.5(5)+20=27.5
:) hope its right :)
Multiply. Write your answer as a mixed number in simplest form.
2 1/6 times 3/5
HURRY 15 POINTSSSSS
Answer:
39/30 = 1 9/30
Step-by-step explanation:
Which of the following is an irrational number?
A. 1.9
B. The square root of 36
C. The square root of 64
D. The square root of 28
A truck traveling 45 miles per hour and a train traveling 60 miles per hour cocer the same distance. The truck travels 2 hours longer than the train. How many hours does the each travel? What equation would represent the total distance traveled by both the train and the truck?
Answer:
Train time = 6 hours
Truck time = 8 hours
60x = 45x + 90
Step-by-step explanation:
Train speed = 60mph
Truck speed = 45 mph
Let distance covered = d
Let travel time of train = x
Travel time of truck = x + 2
Total distance traveled :
Distance = speed * time
Train distance = truck distance
60 * x = (45 * (x + 2))
60x = 45x + 90
60x - 45x = 90
15x = 90
x = 90/15
x = 6
Train time = 6 hours
Truck time = 6 + 2 = 8 hours
Distance traveled :
60x = 45x + 90
60 * 6 = (45*6) + 90
360 = 270 + 90
360 = 360
Luisa buys a plane ticket that has an original price of $240. She uses a coupon code to get 30% discount off of the original price. She is then charged a 7% tax on the discounted price. What is the final cost for luisa's plane ticket?
Answer:
179.76
Step-by-step explanation:
If there are 240 dollars then minus 30%
240-30%=168.00
Then, plus the 7%
168+7%= 179.76
I hope this helps!
The final cost for Luisa's plane ticket after applying coupon code and tax on discounted price is $179.76.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Luisa buys a plane ticket that has an original price of $240.
She uses a coupon code to get a 30% discount on the original price.
She is then charged a 7% tax on the discounted price.
The cost for Luisa's plane ticket after applying the coupon code will be
→ $240 × 0.70 = $168
The final cost for Luisa's plane ticket after the tax on discounted price will be
→ $168 × 1.07 = $179.79
More about the percentage link is given below.
https://brainly.com/question/8011401
