Answer:
The ratio is 1/2 : 2.
The value of the ratio is 1/4.
The amount of salt in the recipe is 1/4 the amount of flour.
Step-by-step explanation:
The ratio of the salt to flour is the amount of salt and the amount of flour
1/2 cup salt and 2 cups flour would be 1/2 : 2 The value of a ratio is the ratio simplified (if we make the 1/2 a whole number we would multiply both sides of the ratio by 2 to get 1:4 or 1/4).
1/2 cup is a fourth of 2 cups
I'm not super familiar with ratio values but I'm pretty sure this is correct.
someone please help me
Answer:
a. 2/5; reduction
Step-by-step explanation:
It appears that C is the center of dilation, so C' and C are coincident. The scale factor is ...
P'C'/PC = 4/10 = 2/5 . . . scale factor
The scale factor is less than 1, so the dilation is a reduction in size.
The terminal side of a 130° angle in standard position lies in the
quadrant.
Answer:
Second quadrant
Step-by-step explanation:
Quadrant I ranges from [tex]0^\circ<\theta<90^\circ[/tex]
Quadrant II ranges from [tex]90^\circ<\theta<180^\circ[/tex]
Quadrant III ranges from [tex]180^\circ<\theta<270^\circ[/tex]
Quadrant IV ranges from [tex]270^\circ<\theta<360^\circ[/tex]
A basket of the fruit contains 12 apples, 8 bananas, and 6 oranges. What is the ratio of bananas to apples? (Please simplify)
Answer:
2 : 3
Step-by-step explanation:
bananas to apples = 8 : 12
simplify by dividing both values by highest common factor of 4:
8 ÷ 4 : 12 ÷ 4 = 2 : 3
what is equavelent to 6(x+2y)+3+4y+5
Match the form with each linear Equation. Some matches will be used more than
once:
y - 6 = 10(2x - 1)
y = -9x + 7
y + 2 = 6(x-4)
y = 3x - 2
5x = 3y - 9
5x + 2y = 10 1) Standard Form. 2) Slope Intercept Form. 3) Point Slope Form. 4) None of the Forms.
Answer:
1) slope form
2) standard form
3)slope form
4)standard form
5) none of theese
6)point slope form
Step-by-step explanation:
I’ll give you all the points I can give if you help me no links pls pls
Answer:
We cant see the writing it is too small
Step-by-step explanation:
If 200,000 is saved at simple interest of 5%per annum,calculate the total amount after 4years
Answer:
$240000
Step-by-step explanation:
[tex]p = 200000[/tex]
[tex]t = 4[/tex]
[tex]r = 5 \: percent\: per \: anum[/tex]
[tex]si = \frac{p \times r \times t}{100} [/tex]
[tex] = \frac{200000 \times 5 \times 4}{100} [/tex]
[tex] = 2000 \times 5 \times 4[/tex]
[tex] = 2000 \times 20[/tex]
[tex] = 40000[/tex]
[tex]amount = si + principle[/tex]
[tex] = 200000 + 40000 = 240000[/tex]
HOPE IT HELPS YOU #ITZADMIRERThe total amount after 4 years is $240,000
What is the total amount?Simple interest rate is the interest that is paid only on the principal portion of a the amount that is saved.
Total amount = principal + interest
Interest = principal x time x interest rate
200,000 x 0.05 x 4 = $40,000
Total amount = 200,000 + 40,000 = $240,000
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Garfield had $10 in the bank yesterday. Then, Garfield bought dinner for $14, but didn't realize that he overdrew from his bank. His account balance was negative now and he was in debt! What is the absolute value of his new account balance?
Solve for a, w, x, and y. x 31 w 60° 55° 46 a = W= x = y =
Answer:
a 31. w 55. X 60 y 46
Step-by-step explanation:
Answers in angles
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle C?
Enter your answer in the box.
___°
Answer:
m<C = 62°
Step-by-step explanation:
[tex]m[tex]m [tex]x+20+3x=180[/tex]
[tex]4x=160,[/tex] [tex]x=40[/tex]
[tex]m [tex]118+m [tex]m [tex]m
please solve this....
Answer:
I believe that's the solution!
sorry for my letters...
Suppose you are given a triangle with hypotenuse of length 2.5 and legs of length x−1 and x+1.
The value for the given right triangle of [tex]x[/tex] is [tex]\pm \sqrt{2}[/tex].
How to find the value of a variableBy Pythagorean theorem and some algebraic handling, we have the following second order polynomial:
[tex](x-1)^{2}+(x+1)^{2} = 2.5^{2}[/tex] (1)
Where [tex]x[/tex] is the desired variable.
[tex](x^{2}-2\cdot x +1)+(x^{2}+2\cdot x +1) = 2.5^{2}[/tex]
[tex]2\cdot x^{2}+2 = 2.5^{2}[/tex]
[tex]2\cdot x^{2}-4.25= 0[/tex]
[tex]x = \pm \sqrt{2}[/tex]
The value for the given right triangle of [tex]x[/tex] is [tex]\pm \sqrt{2}[/tex]. [tex]\blacksquare[/tex]
Remark
The statement is incomplete. Correct form is shown below:
Suppose you are given a triangle with hypotenuse of length 2.5 and legs of length [tex]x-1[/tex] and [tex]x+1[/tex]. Determine the value of [tex]x[/tex].
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Compare.
5 /3
8 /5
A. >
B.<
C. =
Answer:
a
Step-by-step explanation:
5/3 is 1.6666667
8/5 is 1.6
therefore 5/3 > 8/5
from the definition of absolute value, |3x|= when x>=0
Explanation:
When x is zero or larger, then |x| = x.
An example: |9| = 9
This applies to |3x| as well, so |3x| = 3x when [tex]x \ge 0[/tex]
Please help: Find an equation of a line that is tangent to the graph of f and parallel to the given line.
The equation of a line that is tangent to the graph of f and parallel to the given line is; y = 3x + 2 and y = 3x - 2
How to find the equation of a line in slope intercept formThe given equation of the line is 3x - y + 3 = 0
In slope intercept form, this can be rewritten as;
y = 3x + 3
Therefore, the slope of this line will be 3 since in y = mx + c, m is the slope. Thus, the slope of the parallel line will be 3
We will be looking for the value of x when the derivative of f(x) equals 3.
f(x) = x³ and so f'(x) = 3x²
Thus;
3x² = 3
x² = 3/3
x² = 1
x = 1 or -1
Thus;
y = 1³ or y =-1³
y = 1 or -1
Equation of tangent is;
y - 1 = 3(x - 1)
y - 1 = 3x - 3
y = 3x - 2
or y - (-1) = 3(x - (-1))
y + 1 = 3x + 3
y = 3x + 2
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Quadrilateral CAWT is the image of quadrilateral MOPS translated 7 units right and 5 units down. If you know the measure of ∠M, what other angle do you know the measure of?
∠C
∠A
∠W
∠T
i d k
Step-by-step explanation:
Option (A) will be the answer.
Rigid transformation: If the size and shape of a figure after transformation remains unchanged, transformation is called as rigid transformation.
(Example: Translation, Rotation and Reflection)
Given in the question,
Quadrilateral CAWT is the image of quadrilateral MOPS translated by 7 units right and 5 units down. Measure of ∠M is known.Since, image quadrilateral MOPS is formed by the translation of quadrilateral CAWT by 7 units right and 5 units down,
It's a rigid transformation having measures of all interior angles unchanged.
By the definition of rigid transformation → ∠M ≅ ∠C
Therefore, option (A) will be the answer.
Learn more about the transformation here,
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Circle O and triangle OQR are shown below. What is the length of OQ?
48
64
O
48
80
R
112
64
Q
The required length of side OQ is given as 80 units, as of the given conditions.
What are Pythagorean triplets?In a right-angled triangle, its sides, such as hypotenuse, perpendicular, and base are Pythagorean triplets.
here,
From the figure,
Applying Pythagoras' theorem,
OQ² = OR² + RQ²
OQ = √[48² + 64²]
OQ = 80 units
Thus, the required length of side OQ is given as 80 units, as of the given conditions.
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#SPJ2
5.524(2 significant figures)
Answer:
5.524 in 2 significant figures rounding the value to 2 non zero numbers.
5.524 = 5.5 (2 significant figures)
What is the measure of angle UST?
A cannot be determined
B 72 degrees
C 30 degrees
D 150 degrees
Answer:
C 30 degrees
Step-by-step explanation:
Sum of interior angles of a triangle = 180°
⇒ ∠UST + 78 + 72 = 180
⇒ ∠UST = 180 - 78 - 72
⇒ ∠UST = 30°
Hi help me please if you can
Answer:
Exact: 3 2/9
Estimated: 3
Step-by-step explanation:
1/3=3/9, so just convert it to that, then do some simple subtraction.
sanaya can do 1/3 part of a work in 1 day and chahanaa can do1/4 part of the same work in 1 day .How much work would they do working together
Answer: 36/5= 7.2 days to complete sanaya work day
Step-by-step explanation:
Fund the volume of the cylinder. Round your answer to the nearest tenth.
Answer:
The volume of the cylinder is 785.4 cubic feet.
Can someone help with this please
Step-by-step explanation:
[tex]y = \frac{4}{x} + \sqrt{x + 0.2} - 5x[/tex]
[tex]x = \frac{4}{5} [/tex]
[tex]y = \frac{4}{1} \div \frac{4}{5} + \sqrt{ \frac{4}{5} + 0.2} - 5 \times \frac{4}{5} [/tex]
[tex] \frac{4}{1} \times \frac{5}{4} + \sqrt{0.8 + 0.2} - 4[/tex]
[tex]5 + \sqrt{1} - 4[/tex]
[tex]5 + 1 - 4 \\ 6 - 4 = 2[/tex]
Instructions: Use the graph to identify the vertex and then fill in the vertex form of the
quadratic function.
taking a peek at the picture, we can see that the U-turn or vertex occurs at the point (2 , -9), and we can also see that the graph passes through the point say (5 , 0).
[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{vertex}{(2~~,~-9)}\qquad y=a(x-2)^2-9\qquad \qquad \textit{we know that} \begin{cases} x=5\\ y=0 \end{cases} \\\\\\ 0=a(5-2)^2-9\implies 9=9a\implies \cfrac{9}{9}=a\implies 1=a~\hfill \\\\\\ y=1(x-2)^2-9\implies \boxed{y=(x-2)^2-9}[/tex]
what is [tex]\frac{1}{2} \sqrt{4}[/tex]
Answer:
square root of 4 is 2, 1/2 of 2 is 1
Step-by-step explanation:
The terminal side contains the point (-5, 12). Find sin θ.
Question 4 options:
-.923
-.385
.923
.385
Answer:
sin theta = .923
Step-by-step explanation:
see image. An angle in standard position has one side glued to the x-axis, and the other side-the terminal side- rotating around the origin. When it gets to (-5, 12) in your problem, it stops there. 5, 12are the legs of a right triangle and they are recognizable as part of a pythagorean triple 5,12,13. So the hypotenuse is 13. Sin is OPP/HYP. So that is 12/13. Its in the 2nd quadrant, so it should be positive. We used the reference angle, bc the actual angle is the >90° angle from the positive x-axis to thru (-5,12). It calcs the same tho.
sin theta = 12/13
= 0.923
Answer:
(c) 0.923
Step-by-step explanation:
The coordinates of a point on the unit circle are (cos(θ), sin(θ)). That is, the y-coordinate of a point on the terminal ray will have the same sign as the sine of the angle. Here, the sign of the sine is positive, eliminating the first two answer choices.
We know that cos(θ) < sin(θ) for reference angles greater than 45°, where both values are √2/2 ≈ 0.707. Since 5 < 12, that means the angle of interest here will have a sine that is more than 0.707. Only one of the positive answer choices is in this range: sin(θ) ≈ 0.923.
_____
Additional comment
The value of sin(θ) is precisely ...
sin(θ) = y/√(x²+y²) = 12/√(25+144) = 12/13
sin(θ) = 0.923076...(6-digit repeat)
How to solve this problem.
Answer:
ok so frog a travels at a rate of 1 ft every 30 seconds
which frog b travels 2 feet every second so
Frog A: 1/30
Frog B: 2/1 or 2
so Frog B will win
Hope This Helps!!!
Write an equation of the circle with center (-6, 2) and diameter 10.
Answer:
it something i know that much
Step-by-step explanation:
Solution:
We know that the formula to write the equation of a circle is (x – h)² + (y – k)² = r², where:
h = x coordinatek = y-coordinater = radius of circleCenter of circle: (-6,2)First, let's find the radius of the circle. We know that the diameter of the circle is ten units. The radius is half of the diameter. This means that the radius is five units because it is half the diameter, which is ten units.
Diameter: 10 unitsRadius: 10/2 units = 5 unitsCreating the equation:
(x – h)² + (y – k)² = r²=> (x + 6)² + (y – 2)² = 5²Hence, the equation to form a circle with center (-6, 2) and diameter 10 is (x + 6)² + (y – 2)² = 5².
Image attached~
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A computer technician charges $37.50 per hour plus a $70 service charge find the total charges if it takes to computer technician 5.5 hours to complete a task
Answer:
276.25
Step-by-step explanation:
37.50 x 5.5 = 206.25
206.25+ 70 = 276.25
What is the length of this downhill track?
Answer: 10
Step-by-step explanation: