Answer: 15-oz for 2.25
3.20÷20= 0.16
1.70÷10= 0.17
2.25÷15= 0.15
2.72÷16= 0.17
I hope this helps:
how do i solve this question?
Answer:
[tex]x = 18[/tex]
[tex]y = 6\sqrt{3}[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of a right triangle is called the hypotenuse and the other two sides are called the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides as follows:
Cosine Ratio
[tex]\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]
Sine Ratio
[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
Consider the angle of θ=30°, then we can write:
[tex]\displaystyle \cos 30^\circ=\frac{x}{12\sqrt{3}}[/tex]
Solving for x:
[tex]x=12\sqrt{3}\cos 30^\circ[/tex]
Since:
[tex]\cos 30^\circ=\frac{\sqrt{3}}{2}[/tex]
Then:
[tex]x=12\sqrt{3}\cdot \frac{\sqrt{3}}{2}[/tex]
[tex]x = 18[/tex]
Now apply the sine:
[tex]\displaystyle \sin 30^\circ=\frac{y}{12\sqrt{3}}[/tex]
Solving for y:
[tex]y=12\sqrt{3}\sin 30^\circ[/tex]
Since:
[tex]\sin 30^\circ=\frac{1}{2}[/tex]
Then:
[tex]y=12\sqrt{3}\cdot \frac{1}{2}[/tex]
[tex]y = 6\sqrt{3}[/tex]
Answer:
[tex]x = 18[/tex]
[tex]y = 6\sqrt{3}[/tex]
What is the sum of m A and m B if angles A and B are supplementary?
A) 0°
B) 45°
C) 90°
D) 180°
Answer:
D) 180°
Step-by-step explanation:
Answer:
Step-by-step explanation:
A ladder rests 22 feet up the side of a building. If the base of the ladder is 20 feet away from the building, how tall is the ladder to the nearest hundredth?
Answer:
Length of ladder =L =15
Distance from wall = D =9
Height on wall = H =??
Pythagoras equation L*L = D*D + H*H
15×15= (9×9) + H×H
225-81 = 144 =HxH
H= 12 feet.
I am right or wrong
please check
If you were serving pumpkin pie at your Thanksgiving dinner, how much pie would 8 guests receive? What about 4 guests? 2 guests?
Answer:
Step-by-step explanation:
if you serve all the pie to 8 guests.. then they would each get 1/8.. if you were able to cut it exactly the same.. but.. we all know that there is always one piece that is bigger and we all want that piece :P b/c pumpkin pie is good
1/8
1/4
1/2
respectively for each of the questions
5. Adam spent half of his weekly allowance buying lunch. To earn
more money his parents let him shovel snow for $9.30.
What is his weekly allowance if he ended with $15.10?
What is the Pythagorean Theorem? Provide the equation and an explanation as to what it means.
Answer:
The Pythagorean Theorem is a squared + b squared = c squared. It is used to find out a side of a triangle if you already know the two others. C is always the H=hypotenuse, while the other two sides are a and b.
Answer: a^2+b^2 (factored) = c^2
Step-by-step explanation:
This only helps if you are solving for the hypotenuse.
use the quadratic formula to solve for x. 3x^2+9x+4=0
Answer:
x=−3/2 +1/6√33 or x=−3/2 + −1/6√33Step-by-step explanation:
Let's solve your equation step-by-step.
3x2+9x+4=0
For this equation: a=3, b=9, c=4
3x2+9x+4=0
Step 1: Use quadratic formula with a=3, b=9, c=4.
x=−b±√b2−4ac/2a
x=−(9)±√(9)2−4(3)(4)/2(3)
x=−9±√33/6
Brian invests £4000 into his bank account.
He receives 7% per year compound interest.
How many years will it take for Brian to have more than £8000?
Answer:
14 years
Step-by-step explanation:
£280 is 7% of 4000 so £4000 euro more would be 4000/280 = 14
Which two properties characterize an air mass?
Answer:
Step-by-step explanation: Air masses are given a two-part name that describes the humidity and temperature characteristics of the region where they form
Answer:
Air masses have fairly uniform temperature and moisture content in horizontal direction (but not uniform in vertical).
Step-by-step explanation:
Looked it up
What's the circumference of a
circle with a diameter of 15 inches?
(Use 3.14 for pi)
Answer:
47.1 inches
Step-by-step explanation:
circumference is pi times diameter
3.14 times 15 is 47.1
Answer:
Step-by-step explanation:
47.1
Is 2x + 3 + 7x equivalent to the expression 3(3x + 1) ?
Answer:
Yes
Step-by-step explanation:
3(3x+1) = 9x+3
2x+3+7x = 9x+3
You want to cook some desserts for your 10 friends within 2 hours. It will take you 15 minutes to make a waffle and 5 minutes to make a chocolate cookie. Write a system of inequalities to express this situation. What is the most possible number of waffles you can make and still meet the requirements ? waffles
Answer: 7 waffles
Step-by-step explanation: trust me pls. you have a total of 120 minutes. 7 waffles takes you 105 minutes, and the remaining 15 minutes can be spent on 3 cookies.
what is the quotient 5 divided by 30
Answer: 6
Step-by-step explanation:
30÷5=6
Factor completely x3 + 7x2 + 3x + 21.help meeeee
Answer:
(x+7) (x^2+3)
Step-by-step explanation:
Add and subtract the second term to the expression and factor by grouping. Hope this helps!
answers for both boxes please
Answer:
(x,y)=(4,-1)Step-by-step explanation:
[tex]hope \: it \: helps[/tex]
SOMEONE PLEASE ANSWER ALL 7 QUESTIONS DUE IN 10 MINUTES WILL MARK AND 5 STARS!!!
What are the correct answers?
Courtney needs to find 2,495 ÷ 48. In which place should she write the first digit of the quotient?
A. Ones
B. tens
C. Hundreds
D. Thousands
Answer:
Tens
Step-by-step explanation:
The 5 in 51 should be above the nine
Answer:
B.
Step-by-step explanation:
2,495 ÷ 48 is 51.97
the tens is the largest place value so thats where you would start
Tell which number is greater.
37/50, 37%
Answer:
37/50
Step-by-step explanation:
because 37% is out of 100
Answer:
37/50
Step-by-step explanation:
as 37% means 37/100, when 37 is divided by a smaller number such as 50, the result will be greater.
a half of 48 divided by6multiplied by4 plus 3 minus 2
Answer: 17
Step-by-step explanation: thx
Answer: 9 using pemdas
Step-by-step explanation: parenthesis, expressions, multiplication, division, addition, subtraction.
The population of a small town is changing at a rate of —255 people per year. How long will it take for the change in population to be —2,040 people?
Answer:
Solution in photo
Step-by-step explanation:
1. The distance (d) from the center of the seesaw varies inversely as the weight (w) of a person.
JB who weighs 50 kg sits 3 feet from the fulcrum. How far from the fulcrum must JP sit in order to
balance with JB if he weighs 35 kg?
2. The number of pages (p) that Ethan reads varies directly as the number of hours (1) he is
reading.
A. write the variation equation
B. If he can read 21 pages in 14 minutes, how many pages can he read in 21 minutes?
3. The pressure of the gas is directly proportional to the temperature and inversely proportional to
its volume.
A. Write the variation equation.
B. What will happen to the pressure if the volume is reduced to half and the temperature is
doubled?
4. Given the equation y = k ma, where k is the constant of variation, which of the following
statements are TRUE or FALSE.
A. y and r varies directly.
B.y and q are directly proportional
C.y and pq2 varies jointly
D. p and r are inversely proportional
E. y and p varies directly.
pasagot naman mga prii
Answer:
1) 43/10
3) p = kt/v
4) C
1. The distance (d) from the center of the seesaw varies inversely as the weight (w) of a person.
[tex]\rm d\times w = constant[/tex]
JB who weighs 50 kg sits 3 feet from the fulcrum.
Distance of JP from the fulcrum in order to balance with JB if he weighs 35 kg?
[tex]\rm JB \times 3 = JP \times 35 \\50\times 3 = JP \times 35 \\JP = 4.28\; feet[/tex]
So JP must sit at a distance of about 4.28 feet from the fulcrum
2. The number of pages (p) that Ethan reads varies directly as the number of hours (1) he is reading.
A. write the variation equation
let the number of pages read by Ethan be p
let the number of hours he is reading be h
According to the given situation
[tex]\rm p \; \alpha\; h \\So \; equation\; is \; p = ch[/tex]
B . According to the given condition
[tex]\rm 21 = c \times 14\\c = 3/2 = 1.5[/tex]
hence the constant of proportionality c = 1.5
So let us consider he reads p' pages in 21 minutes
[tex]\rm p' = 1.5 \times 21 = \bold{31.5\; pages}[/tex]
3. The pressure of the gas is directly proportional to the temperature and inversely proportional to its volume.
A. Write the variation equation.
Let P = Pressure , V = Volume and T = Temperature
The equation is
[tex]\rm P \; \alpha \; \dfrac{T}{V}........(3.1)[/tex]
B. What will happen to the pressure if the volume is reduced to half and the temperature is doubled?
Since the temperature is doubled and volume is halved so putting 2T and and volume V/2 in equation (3.1) we get
[tex]\rm P \; \alpha \; \dfrac{4T}{V}[/tex]
So the values of new pressure become 4 times the value.
4. Given the equation y = k ma, where k is the constant of variation, which of the following
statements are TRUE or FALSE.
A. y and r varies directly.
B.y and q are directly proportional
C.y and pq2 varies jointly
D. p and r are inversely proportional
E. y and p varies directly.
It seems that Question 4 has an ambiguity since the equation y = k ma
does not signifies any of the option
For more information please refer to the link given below
https://brainly.com/question/17948320
If m=3 and b=6 what is the correct slope intercept equation
Answer:y=3x+6
Step-by-step explanation:
Because the slope intercept equation is y=mx+b
This is the one i need help with help and explain
Answer:
Step-by-step explanation:
count all the full squares... 12
and add 1/2 a square for the angled one
12.5 :) or 12 1/2
Answer: 12.5 sq units
Step-by-step explanation:
Make two triangles (big and small triangle) and one rectangle. ( kinda like what's in the pic)
Area of big triangle:
b = 3 h = 3
1/2 x 3 x 3 = 4.5 sq units
Area of small triangle:
b = 2 h = 2
1/2 x 2 x 2 = 2 sq units
Area of rectangle:
l = 3 w = 2
3 x 2 = 6 sq units
Area of the figure: A. of rect. + A. of s. tri. + A. b. tri.
6 + 2 + 4.5 = 12.5 sq units
Point O is the incenter of ΔABC.
Point O is the incenter of triangle A B C. Lines are drawn from the point of the triangle to point O. Lines are drawn from point O to the sides of the triangle to form right angles and line segments O Q, O R, and O S. Angle Q A O is (2 x + 6) degrees, angle O A S is (4 x minus 12 degrees), and angle Q B O is (3 x minus 15) degrees.
What is m Angle Q B O?
5°
9°
12°
24°
Answer: the answer is 12
Step-by-step explanation:
2x+6 =4x-12
-2x=-18
x=9
3(9)-15
27-15
12
Three years ago, Jolene bought $675 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of 12 3 5 % per year. How much is the stock worth now? (Round each money calculation you make to the nearest cent.) The stock is worth $ now.
Answer:
= $963.65
Step-by-step explanation:
Value of stock = value of the stock at the time it was bought x ( 1 + average rate of increase)^number of years
$675 x [1 + (12 + 3/5% ) ]^3 =
$675 x ( 1 + 0.126)^3 = $963.65
Name the vertical angles in the diagram below:
Hey there!
The vertical angles in the diagram shown are 2 and 3, and 1 and 4, because they are formed by 2 intersecting lines and are across from eachother.
Hope it helps and have a good day!
Can someone find "BC" for me plz?
Answer:
BC = 104
Step-by-step explanation:
By the SAS postulate, ΔBDA and ΔBDC are congruent, meaning that each of the corresponding sides are equal in length.
BD = BD
AD = CD
BA = BC
If we know BA = 21x - 1 and BC = 9x + 59, then we can set them equal to each other and solve for "x".
BA = BC
21x - 1 = 9x + 59
21x = 9x + 60 Added 1 to both sides
12x = 60 Subtracted 9x from both sides
x = 60/12 Divided both sides by 12
x = 5 Reduced fraction, solved for "x"
To find BC, substitute x = 5 into the equation for BC.
BC = 9x + 59
BC = 9(5) + 59 Substituted "x" for 5
BC = 45 + 59 Multiplied 9 and 5
BC = 104 Added, solved for BC
∴ BC = 104
3x + 10 = 4x +54. How did you get your answer?
Answer:
[tex]x=-44[/tex]
Step-by-step explanation:
[tex]3x+10=4x+54[/tex]
To solve for the variable [tex]x[/tex], start by subtracting [tex]3x[/tex] from both sides of the equation:
[tex]10=x+54[/tex]
Then, subtract [tex]54[/tex] from both sides of the equation:
[tex]-44=x[/tex]
Therefore, [tex]x=-44[/tex]
-
To check your work, simply substitute the solved value of [tex]x[/tex] into the initial equation:
[tex]3(-44)+10=4(-44)+54[/tex]
Multiply:
[tex]-132+10=-176+54[/tex]
Add:
[tex]-122=-122[/tex]
Since both sides of the equation are equal to each other, our solution is correct!
Answer:
[tex] = > 3x + 10 = 4x + 54[/tex]
We need to get the x on the one side and the numbers on the other.
Subtract 3x from both sides:
[tex] = > 3x - 3x + 10 = 4x - 3x + 54[/tex]
[tex] = > 10 = x + 54[/tex]
Subtract 54 from both sides:
[tex] = > 10 - 54 = x + 54 - 54[/tex]
[tex] = > - 44 = x[/tex]
Thus,the value of x is -44.
For checking:
[tex] = > 3x + 10 = 4x + 54[/tex]
[tex] = > 3( - 44) + 10 = 4( - 44) + 54[/tex]
[tex] = > - 132 + 10 = - 176 + 54[/tex]
[tex] = > - 122 = - 122[/tex]
7, 3, -1, -5, what is the sequence
Answer:
-4
Step-by-step explanation:
7-4=3
3-4=-1
-1-4=-5
