Answer: C
Step-by-step explanation: When I graphed the equation and went to -1 y, the answer was -4.
If angle AOC = 77º and angle AOB = 49°, then angle BOC =
please help : Five baskets contain a total of 120 apples. The first and second baskets have a combined total of 62 apples. The second and third baskets have a combined total of 53 apples, the third and fourth baskets have a combined total of 45 apples, and the fourth and fifth baskets have a combined total of 42 apples. How many apples are in each basket?
The number of apple in each basket is as follows:
First basket = 25 apples
Second basket = 37 apples
Third basket = 16 apples
Fourth basket = 29 apples
Fifth basket = 13 apples
Total apples in the five baskettotal apples = 120
let
the number of apples in the first basket = a
the number of apples in the second basket = b
the number of apples in the third basket = c
the number of apples in the fourth basket = d
the number of apples in the fifth basket = e
Therefore,
a + b = 62
b + c = 53
c + d = 45
d + e = 42
a + b + c + d + e = 120
62 + 45 + e = 120
e = 120 - 62 - 45
e = 13
d = 42 - 13
d = 29
c = 45 - 29
c = 16
b = 53 - 16
b = 37
a = 62 - 37
a = 25
Therefore,
the number of apples in the first basket = 25
the number of apples in the second basket = 37
the number of apples in the third basket = 16
the number of apples in the fourth basket = 29
the number of apples in the fifth basket = 13
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Please solve this question.
Answer: see proof below
Step-by-step explanation:
Use the Cofunction Identity: sin (90 - A) = cos (A)
Use the Double Angle Identity: sin(2A) = 2 sinA cosA
Use the Triple Angle Identity: cos (3A) = 4cos³A - 3cosA
Use the Zero Product Property: If a · b = 0, then a = 0 or b = 0
Use Pythagorean Identity: cos²A + sin²A = 1 → cos²A = 1 - sin²A
Use Quadratic Formula: [tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Proof LHS → RHS:
Assumption: Let A = 18°
Multiplication: then 5A = 5(18°)
→ 5A = 90°
Expand: 2A + 3A = 90°
→ 2A = 90° - 3A
Apply sin: sin (2A) = sin (90° - 3A)
Cofunction: sin (2A) = cos (3A)
Double Angle: 2 sinA cos A = cos (3A)
Triple Angle: 2 sin A cos A = 4cos³A - 3cos A
→ -4cos³A + 3cos A + 2sinA cos A = 0
Factor: cos A(-4cos² A + 3 + 2sin A) = 0
Zero Product Property: cos A = 0 or -4cos² A + 3 + 2sin A = 0
↓
Disregard (since cos A ≠ 0)
Pythagorean: -4cos² A + 3 + 2sin A = 0
→ -4(1 - sin² A) + 3 + 2sin A = 0
→ -4 + 4sin² A + 3 + 2sin A = 0
Simplify: 4sin² A + 2sin A - 1 = 0
a=4 b=2 c= -1
[tex]\text{Quadratic Formula:}\qquad \sin A=\dfrac{-(2)\pm \sqrt{2^2-4(4)(-1)}}{2(4)}[/tex]
[tex]=\dfrac{-2\pm \sqrt{4+16}}{8}[/tex]
[tex]=\dfrac{-2\pm \sqrt{20}}{8}[/tex]
[tex]=\dfrac{-2\pm 2\sqrt{5}}{2(4)}[/tex]
[tex]=\dfrac{-1\pm \sqrt{5}}{4}[/tex]
[tex]=\dfrac{ \sqrt{5}-1}{4}[/tex]
[tex]\text{Substitute A = 18:}\qquad \sin 18=\dfrac{ \sqrt{5}-1}{4}[/tex]
is one over one-third a unit rate
Answer: NO it is not a unit rate
Step-by-step explanation:
No, a unit rate is the amount for 1 item or unit. and 1/ 1/3, 1/3 is on the bottom
1/3≠1 so no
i need this pls asap
Answer:
144cm^2
Step-by-step explanation:
This is a cube which means it has 6 sides
The dimensions of one side is 5cm by 5cm
So the area of one side is 5*5=25cm
25cm * 6 sides = a total surface area of 144cm^2
Hope this helps! :)
It costs $2.00 for eight juice boxes. What is the unit price per box?
Answer:
$0.25 for 1 juice box
Step-by-step explanation:
Divide $2.00 by 8
The answer is 0.25
Hope I helped :)
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The unit price of each box will be $0.25 per box.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
It costs $2.00 for eight juice boxes.
The unit rate is given by the division of the numbers 2 and 8. Then the units rate is given as,
Rate = $2 / 8
Rate = $0.25 per box
The unit price of each box will be $0.25 per box.
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Question 2 of 5
Which transformation was applied to ABCD to transform it to EFGH?
A. Rotation about the origin
ОО
B. Reflection over the yaxis
C. Translation
D. Reflection over the x-axis
Step-by-step explanation:
Reflection about the y-axis followed by a translation left by 2 units
Reflection about the x-axis followed by a translation left by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation left by 2 units
i hope it can help. thanks
Answer: The answer is C
Step-by-step explanation:
What is the square root of 250,000
Answer:500
Step-by-step explanation:
√250000=500
Answer:
[tex] \sqrt{250000} \\ \sqrt{500} \times \sqrt{500 } \\ { \sqrt{500 } }^{2} \\ 500[/tex]
500 is your answerHope it helps you ☺️☺️Thank you ☺️☺️
In a circle graph that represents a survey of 400 people, how many people are represented by a sector labeled 25%?
Answer:
100 people.
Step-by-step explanation:
25% of 400
= 0.25 * 400
= 100.
At top cruising speed, a shark can swim 6 miles in 1/12 hours. A whale can swim 8 miles in 1/6 hours. which animal can swim faster at top cruising speed? How much faster?
Answer: 225 tiles
Step-by-step explanation:
Side of tile = 20 cm = 0.2 m
Side of bathroom = 3 m
Area of tile = 0.04 m²
Area of bathroom = 9 m²
No. of tiles = Ar (bathroom) / Ar (tile)
= 9 / 0.04
= 9 x 25
= 225 tiles
Find the area of the figure. (Sides meet at right angles.)
4 in
4 in
5 in
5 in
8 in
B in
3 in
11 in
Answer:
I will help you figure it out. Multiply all the numbers together: And you'll get; 21,120 in.
Hope this helps! Rate Brainiest!
-Aslina
please help, will mark as Brainliest
which one is not equivalent to 9/12: 15/20, 24/32, 16/24, 6/8
Answer: 16/24
Step-by-step explanation:
40% of 1,380.00
Help md pls
Is 831 divisible by 3?? Yes or no
yes 831 is divisible by 3
One way I know this is because when adding all the digits in the number you get 12 which is divisible by 3
Also if you do divide 831 ÷ 3 it would equal 277
Answer:
yes or true
Step-by-step explanation:
Amount of Dog Food Eaten
The graph shows the total amount of dog food
that Sophia's dog Nipper eats. Which statement is
NOT correct?
A The data represents a proportional relationship.
B The point (5,2) means that Nipper eats 5 pounds
of dog food in 2 days.
C The point (0,0) has no meaning in this situation.
D The constant of proportionality is 0.4.
Pounds
1 2 3
6 7 8 9 10 11
Days
Help me please ssjdjjdjdjdjddjjfjf
Answer:
The answer should be 273
someone answer please!!!
Answer:
3.4
Step-by-step explanation:
both angles are equal, i.e 16x - 9 = 45.
the value of x is 3.375
Answer:
The value of x is 9.
Step-by-step explanation:
i used the equation (16x-9) + 45 = 180
1. i added -9 +45 i got 36
2. 16x + 36 = 180
3. i subtract 36 from 36 and 180
4. 16x=144
5. i divide 16 from 16x and 144
6. x=9
I hope this helped! :)
What is 7/9 * 1/3
Hurry I am on a timer
Answer:
7/27Step-by-step explanation:
Hope this helps! <3
Pls answer the question attached.
I WILL MARK U BRAINLIST
Answer:
discount = 25%
Step-by-step explanation:
discount is calculated as [tex]\frac{reduction}{original}[/tex] × 100%
reduction = 2800 - 2100 = 700
discount = [tex]\frac{700}{2800}[/tex] × 100% = 0.25 × 100% = 25%
In the given figure, prove that ΔΜΝΟ - ΔΟΡΟ.
Answer:
MNO ~ OPQ by AAA (Angle angle angle)
Step-by-step explanation:
1. angle POQ is equal to angle NOM because they are both vertical angles
2. angle OPQ and angle OMN are equal because parallel lines cut by a transversal form congruent alternate interior angles.
3. angle PQO and angle ONM are equal becase of the same reason as reason 2 (parallel lines cut by a transversal form congruent alternate interior angles. )
4. triangles MNO ~ OPQ through AAA (angle angle angle)
Lina has 12 coins in her purse. D of them are dimes and the rest are quarters.
How many quarters does Lina have?
How much money does Lina have in quarters?
Answer:
she has 12 - D quarters.
She has 24 (12-D) cents in quarters
Step-by-step explanation:
You know that the number of coins, and you know the number of dimes - even if the amount is a variable - you can find the amount of quarters with an equation.
If you knew that Lina had 6 dimes instead of D, you would say 12 - 6 and get the number of quarters. You can do the same thing here.
and If you know Lina has 6 quarters, you could find the amount of money in cents by multiplying 6 by 25. You can do that here too, but with variables and an equation.
Answer:
she has 12 - D quarters.
Step-by-step explanation:
The Weeks' family goes out to eat and the total bill was $72.48. If they want to leave an 18% tip, how much extra money should they leave the waitress?
Answer:
Step-by-step explanation:
13.05
Answer:
13.05
Step-by-step explanation:
Select the correct answer.
Which function defines ?
A.
B.
C.
D.
Answer:
B
Step-by-step explanation:
(g - f)(x)
= g(x) - f(x)
= log(x - 3) + 6 - ([tex]\sqrt[3]{12x+1}[/tex] + 4)
= log(x - 3) + 6 - [tex]\sqrt[3]{12x+1}[/tex] - 4 ← collect like terms
= log(x - 3) - [tex]\sqrt[3]{12x+1}[/tex] + 2
Value of the given function[tex](g-f)x = log(x-3)-\sqrt[3]{12x+1} +2[/tex].
What is function?" Function is defined as the relation between the given variables is such that every input has exactly one output each."
According to the question,
Given functions are,
[tex]f(x) = \sqrt[3]{12x+1} +4\\\\g(x) = log(x-3) +6[/tex]
Substitute the value in the function (g -f)x we get,
[tex](g-f)x = g(x) -f(x)[/tex]
[tex]= log(x-3) + 6 -( \sqrt[3]{12x+1} +4)\\\\= log(x-3) + 6 -\sqrt[3]{12x+1} -4\\\\= log(x-3) -\sqrt[3]{12x+1} +2[/tex]
Hence, Option(B) is the correct answer.
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how do I solve this please give a step by step or I am taking the comment down please also this will go for 13 points.
Answer:
75
Step-by-step explanation:
angles on a straight line always add up to 180 degrees so 180-105 =75
Which statement must be true? arc r t ≅ arc u t ∠rqt ≅ ∠rst rq ⊥ qt rs ≅ st
The sides RS and ST are equal because they are the side of the congruent triangle that is RS ≅ ST. Then the correct option is D.
What is a circle?It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
In circle Q, ∠RQS ≅ ∠SQT.
In ΔRQS and ΔTQS
∠RQS ≅ ∠SQT (Given)
QS = QS (Common side)
RQ = QT (Radius of the circle)
The ΔRQS and ΔTQS triangles are congruent to each other. That is given as ΔRQS ≅ ΔTQS.
The sides RS and ST are equal because they are the side of the congruent triangle that is RS ≅ ST. Then the correct option is D.
More about the circle link is given below.
https://brainly.com/question/11833983
Answer:
D. rs≅st
Step-by-step explanation:
i did it
i am a but confused on this question i think the answer is 51 but i’m not sure?? can someone tell me if i’m correct or not. If not please explain! Luv y’all i will mark you brainliest
Answer:
The value of the expression for x=3 is 51
Step-by-step explanation:
Evaluating expressions
To evaluate a given expression, we simply substitute the value of the variables and complete the operations.
The expression to evaluate is:
P=3(2+5x)
We will evaluate for x=3:
P=3(2+5*3)
The product must be done first:
P=3(2+15)=3*17=51
The value of the expression for x=3 is 51
7-^3
Simplify this expression. Use 7 as the base.
Tools are us rents leaf blowers for a base price of $24 +9 dollars per hour XYZ rentals rent leaf blowers for a base price of $18 plus $11 per hour how many hours were both companies charge the same amount and what is that amount solve by substitution
Price per hour of first case :
[tex]P_1 = 24 + 9a[/tex] ( Here, a is number of hours )
Price per hour of second case :
[tex]P_2 = 18 + 11b[/tex] ( Here, b is number of hours )
Let, after x hours both company charges the same.
[tex]P_1=P_2\\\\24+9x = 18 + 11x\\\\2x=6\\\\x = 3\ hours[/tex]
Hence, this is the required solution.
What is the name of this polygon?
rectangle
square
trapezoid
rhombus
Answer:
trapezoid
Step-by-step explanation:
since the figure has only 1 pair of parallel sides then it is a trapezoid
Answer:
rhombus
Step-by-step explanation: