Which value can be filled into the blank to make a true equation?
a + b + c – __ = a + c
Answer:
b
Step-by-step explanation:
a + b + c - b = a + c
What is the exact value of sin(105°)?
ANSWER - D) sqrt(2 + sqrt3)/2
Answer:
[tex]\sin 105^{\circ} = \frac{\sqrt{6}+\sqrt {2}}{4}[/tex]
Step-by-step explanation:
We can use the following trigonometrical identity:
[tex]\sin (\alpha - \beta) = \sin \alpha \cdot \cos \beta - \cos \alpha \cdot \sin \beta[/tex] (1)
Where [tex]\alpha[/tex], [tex]\beta[/tex] are angles, measured in sexagesimal degrees.
If we know that [tex]\alpha = 135^{\circ}[/tex] and [tex]\beta = 30^{\circ}[/tex], then the value of the given function is:
[tex]\sin 105^{\circ} = \sin 135^{\circ}\cdot \cos 30^{\circ} - \cos 135^{\circ}\cdot \sin 30^{\circ}[/tex]
[tex]\sin 105^{\circ} = \left(\frac{\sqrt{2}}{2} \right)\cdot \left(\frac{\sqrt{3}}{2}\right)-\left(-\frac{\sqrt{2}}{2} \right)\cdot \left(\frac{1}{2}\right)[/tex]
[tex]\sin 105^{\circ} = \frac{\sqrt{6}}{4}+\frac{\sqrt{2}}{4}[/tex]
[tex]\sin 105^{\circ} = \sqrt{\frac{6}{16} }+\sqrt{\frac{2}{16} }[/tex]
[tex]\sin 105^{\circ} = \sqrt{\frac{3}{8} }+\sqrt{\frac{1}{8} }[/tex]
[tex]\sin 105^{\circ} = \frac{\sqrt{3}+1}{2\cdot \sqrt{2}}[/tex]
[tex]\sin 105^{\circ} = \frac{\sqrt{6}+\sqrt {2}}{4}[/tex]
Answer: D) sqrt(2 + sqrt3)/2
Step-by-step explanation: Nah
Drake bought a shirt that originally cost $40 at a 30% discount. How much discount did he get from the original cost of the shirt?
Answer:
$12 discount
Step-by-step explanation:
$40x0.30=12
At dinner, the meal cost $22 and a sales tax of $1.87 was added to the bill. "What would be the total amount if the meal cost $80?" *
Answer:
$86.8
Step-by-step explanation:
Step one:
Given data
At dinner, the meal cost $22 and a sales tax of $1.87
let us find what percent $1.87 to the cost of the meal
= 1.87/22*100
=0.085*100
=8.5%
Hence the sale tax is 8.5%
Step two:
if the cost is now $80
the sale tax will cost
=8.5/100*80
=0.085*80
=$6.8
The total will be
=80+6.8
=$86.8
12. The Williams family ate dinner at Olive Garden. The
total bill was $76. They left a tip that was 18% of the bill.
How much did the Williams family pay, including the tip?
A. $76.00
B. $76.18
13.6f
C. $89.68
+
76
D. $62. 32
Answer:
$89.68 was their total bill (bill + tip)
Step-by-step explanation:
Turn the percentage into a decimal:
76 x 0.18 = 13.68
13.68 is the tip of their total bill. Now, add the tip and the total bill cost together.
13.68 + 76 = $89.68
answer this i will give you brainliest 50 points
Answer:
Step-by-step explanation:
Answer:
it says 22 points not 50 so im not answering correctly
Step-by-step explanation:
sorry but that's how the cookie crumbles
An ulcer patient is taking Mylanta from a 36-ounce (oz) bottle. If he takes 3/4 oz qoh(every other hour) from beginning at 6 am and ending with a final dose at 10 pm how many days would a bottle last
Answer:
6 days
Step-by-step explanation:
patient takes eight doses daily; each dose consists of 3/4 oz.
8 x 3/4 = 6 oz daily
therefore, 36 oz bottle would last 6 days
Whiskers the cat weighs 2 and 2/3 kg. Piglio weighs 4 kg.
How many times as heavy as Whiskers is Piglio?
Answer:
1 1/2kg
Step-by-step explanation:
So we have to do the inverse operation thing, so our equation is:
4 ÷ 2 2/3 = 1 1/2
So Whiskers is 1 1/2 times as heavy as Piglio
Answer:
Whiskers is two-third times as heavy as piglio is
Step-by-step explanation:
Select all the expressions that are equivalent to 9 + 7x - 3y.
[Choice A) 9 + 7x - 3y
(Choice B] 9 - 7x - 3y
(Choice C) 9 - 7x + 3y
(Choice D) 9 + 7x + (-3y)
(Choice E) 9 - (-7)x - 3y
Answer: its E
Step-by-step explanation:
Answer:
E
Step-by-step explanation:
Nick and Adam workout together. Nick weighs 160 pounds and is gaining about 3 pounds per week. Adam weighs 195 pounds and is losing about 2 pounds each week. Write an equation that can be used to find the number of weeks that it will take them to weigh the same amount.
Answer:
x=7
Step-by-step explanation:
(160+3x)=(195-2x)
Using the figure above, what are the measures of the 3 angles in triangle DEF? PLS HURRY! THANKS
Answer:
F= 34 degrees (alternate angles are equal)
To find D
we first have to find the angles at AB
B =180- 165 (sum of angles on a straight line = 180°)
therefore B = 15°(we'll use this to find the angle at E)
A=34 (from the diagram)
so,
D = 180- (15 + 34) [sum of angles in a triangle = 180°]
D = 131°
E=15° (alternate angles are equal )
Step-by-step explanation:
there u go!
When you are born, your parents deposited $500 into a simple interest account that
earns 2.5% annually. How much money would be in the account, for you, when you
turn 30 years old?
Answer:
$575
Step-by-step explanation:
2.5 x 30 + 500
Graph this system of equations on the coordinate plane:
y = 4/3x + 4
3y = -2x - 6
Answer:
(here is the graph from Desmos)
Step-by-step explanation:
The graph is plotted and attached with the answer.
What is System of Equation?The system of equation is set of equations which have a common solution.
The system of equation is
y = 4/3x + 4
3y = -2x - 6
On graphing the system of equations, the solutions can be obtained.
The graphs are plotted and attached.
The solution of the system of equation is ( -3,0).
To know more about System of Equations
https://brainly.com/question/12895249
#SPJ5
Please help. I need help with 3 questions! -3-||
1. Reese bought 3 tickets for $75. At this rate, how much did she pay per ticket?
2. A china shop receives a shipment of 140 dishes in 5 boxes. At this rate, how many dishes will it receive per box?
3. There are 210 students in the 10 classes of East Middle School. At this rate, how many students are in each class?
Answer:
question 1: 25
question 2: 28
question 3: 21
Step-by-step explanation:
hope this helps!
have a great day!
Answer:
1.Zapłaciła 25 dolarów.
2.28
3.21
Step-by-step explanation:
Round 21.25 to the nearest hundredth
Answer:
The answer would be 21.25
so it would just stay the same because the number
2 is in the tens place
1 is in the ones place
.
2 is in the tenths place
5 is in the hundreths place
Help meeeee pls class ends in an hour
117
Step-by-step explanation:
(x+3) is 13 because x is 10 so 10+3 is 13 and then 9 so 13×9 is 117
Write
0.012
as a fraction in simplest form.
Answer 3/250
Step-by-step explanation:
Its in simplest form
Ricky's football team scored only 15 times this season.
Every touchdown gave them 7 points (they missed no extra
points) and each field-goal gave them 3 points. They scored 77
points (total) this season.
TRUE OR FALSE:
Answer:
False 15 times 7= 105
In which table is Y a nonlinear function of X? Please help.
What is the least common multiple of the two denominators?
6/8, 4/32
Answer:
8
Step-by-step explanation:
6/8 and 4/32
Simplify each fraction
6/8
Divide the top and bottom by 2
= 3/4
4/32
Divide the top and bottom by 4
= 1/8
We have 3/4 and 1/8
Bot 4 and 8 go into 8
I Hope This Helps :)
Answer:
8
Step-by-step explanation:
The LCM is 2x2x2=8 2 x 2 x 2 = 8
I need you someone to solve this and show their work. Tell me why the answer is 4.
Answer:
x = 4
Step-by-step explanation:
You begin by making what is inside the brackets = 0. In other words you will somehow get 0 * brackets + 3 = 3
x - 4 = 0
x - 4 + 4 = 0 + 4
x = 4. When you make x = 4, the inside of the brackets = 0
1/2 * 0 = 0
So you are left with
3 = 0 + 3
and x has been made = 4
Do what's in the brackets before anything else.
— 4x — Зу = = 9
5х = 15
Help me now
Answer:
y=-7
x=3
Step-by-step explanation:
I just used a calculator. Hope this helps. :)
What is the equation of this trend line? Please help ASAP!
Answer:8+2x
Step-by-step explanation:
HI Please try to answer it and reply below: Find the cost of fencing a square park of side 125m at a rate of Rs. 15 per meter Please comment on the answer to this question below Also Please send me friend requests Thanks Regards Super Cool Indian
Answer: Rs7500
Step-by-step explanation:
First and foremost, we should realise that a square has 4 sides. Therefore, the total sides of the square will be:
= 125m × 4
= 500m
Since the rate is Rs15 per meter, then the cost of the fencing will be:
= 500 × Rs15
= Rs7500
A retired math teacher takes his grandson shopping. He tells his grandson that they can spend x
dollars and x - 72.6 = 11. What operation does the grandson need to use to find how much money
they can spend?
Answer:
Addition, 83.6
Step-by-step explanation:
x - 72.6 = 11, x = 83.6
The grandson must add 72.6 to both sides to solve for x.
Box A contained 1.67 kilograms of flour. Box B contained 8.6 kilograms of flour. Mr. Smith used all the flour from both boxes to bake some cakes. How much flour did he use in all?
Answer:
Mr. Smith used 10.27 kilograms of flour in total.
Step-by-step explanation:
Due 01/22/2
3.3.PS-7
Question Help
Car Survey In a survey of 1,300 people who owned a certain type of car, 780 said they would buy
that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
60%
Step-by-step explanation:
i dont know how to give an explanation on this, my teacher just said the other day in class that 780 is 60% of 1300.
Nathan biked 54 miles in 4.5 hours what was Nathan average speed in miles per hour what is 54 divided by 4.5
Answer:
This means that Nathan's average speed was 12 miles per hour.
Step-by-step explanation:
54 divided by 4.5 is 12
What is the radius of this button
8. The cost of a fleece blanket is $26, and it sells for $50. Find the percent of markup on cost and selling price.
O A 48% markup on cost is equivalent to a 92% markup on selling price.
An 81% markup on cost is equivalent to a 19% markup on selling price.
A 52% markup on cost is equivalent to a 19% markup on selling price.
A 92% markup on cost is equivalent to a 48% markup on selling price.
Answer:
A 52% markup on cost is equivalent to a 19% markup on selling price.
Step-by-step explanation: