Answer: If two numbers are in a ratio of 2 to 3, this means that two times one number is equal to 3 times the other, or:
2*X = 3*Y, where X and Y are any numbers, and X is the bigger one and Y is the smaller one.
If Y=18, then:
2*X = 3*18 = 54
X=54/2 = 27
So the answer is 27.
Alex was thinking of a number. Alex subtracts 14 from it and gets an answer of 29.6. What was the original number?
HELPPPPPPPPPPPPPPPPPPPPPPPP
Can someone solve the equation |x+8| = x+8
Thank you!
The Rotation R maps all 60° about O the center of the regular hexagon. State the image of B for the following rotation.
R^6 =
B
E
O
Answer:
B will be at same place after all six rotations.
Step-by-step explanation:
If rotation maps to [tex]60^{\circ}[/tex]
Then [tex]R^6[tex] means six rotations .
The given B after one rotation will shift in place of A
After second rotation will shift in place of F
After third rotation will shift in place of E
After fourth rotation will shift in place of D
After fifth rotation will shift in place of C
After sixth rotation will shift in place of B itself.
Therefore, B will come back to same place after all the required rotations.
Find the slope-intercept form of the line that passes through the given points. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.
(1, -5) and (5, -1)
the statement 2n^2+5n-25=0 opens up because
John says the transformation rule (x, y) --> (x + 4, y + 7) can be used to describe the slide of the pre-image (4, 5) to the image (0, –2). What was his error?
Answer:
The pre-image is the point you start with. To check the transformation rule, substitute the values of the coordinates (4, 5) into the rule. You get (4, 5) → (4+4, 5+7). Simplify to get (4, 5) → (8, 12). This is the image. Instead the rule was applied to the image. This is the source of the error.
3. In the rhombus, what are m∠1, m∠2 and m∠3? The diagram is not drawn to scale.
Answer: m∠1 = 128°, m∠2 = 26° and m∠3 = 26°.
Step-by-step explanation: We are given to find the measures of ∠1, ∠2 and ∠3 in the figure.
As shown in the attached figure, ABCD is a rhombus, where m∠A = 128°.
We know that, in a rhombus, all the sides are congruent, the opposite angles are congruent and the adjacent angles are supplementary.
So, from rhombus ABCD, we have
[tex]m\angle A=m\angle C~~~~~\textup{[opposite angles]}\\\\\Rightarrow m\angle 1=128^\circ.[/tex]
Also, in ΔBCD, we have
[tex]BC=CD~~\textup{[all the sides are congruent]}\\\\\Rightarrow m\angle 3=m\angle 2~~\textup{[angles opposite to congruent sides care congruent]}.[/tex]
Now, since the sum of three angles of a triangle is 180°, we have from ΔBCD that
[tex]m\angle 1+m\angle 2+m\angle 3=180^\circ\\\\\Rightarrow 128^\circ+m\angle 2+m\angle 2=180^\circ\\\\\Rightarrow 2\times m\angle 2=180^\circ-128^\circ\\\\\Rightarrow 2\times m\angle 2=52^\circ\\\\\Rightarrow m\angle 2=26^\circ.[/tex]
Therefore, m∠3 = 26°.
Thus, m∠1 = 128°, m∠2 = 26° and m∠3 = 26°.
What is the value of x? Please Answer
F(x)=x+2/2 what is the value of f(-8)
A.-4
B.-3
C.-5
D.-6
Answer please anybody
Somebody please help .. What is the exact volume of this right cone ?
What is a possible value of sin(theta) when cos2(theta)=0.73?
a.0.37
b.0.63
c.0.26
d.0.74
The correct answer is option a. 0.37.
Given that [tex]cos(2\theta) = 0.73[/tex], find a possible value of sin(theta).
It is known that:
[tex]cos(2\theta) = 1-2sin^2(\theta)[/tex].
Substituting the given value:
[tex]0.73 = 1-2sin^2(\theta)[/tex]
Rearrange to solve for sin²(theta):
[tex]2sin^2(\theta)=1-0.73[/tex]
[tex]2sin^2(\theta)=0.27[/tex]
[tex]sin^2(\theta)=0.135[/tex]
So, [tex]sin(\theta) = \sqrt{0.135}\ or\ sin(\theta) = -\sqrt{0.135}[/tex].
Since we are looking for a possible value, we take the positive root:
[tex]sin(\theta) \approx 0.367[/tex]
Considering the options given, the closest possible value is 0.37.
The graph of an exponential function is given. Which of the following is the correct equation of the function?
y = 0.65x
y = 2.4x
y = 3.5x
y = 0.32x
Given sinx=0.9 , what is cosx ? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
It is given sinx=0.9 .We need to find cosx.
We use the identity :
[tex] sin^{2} x + cos^{2} x =1 [/tex]
Substituting sinx=0.9
[tex] (0.9)^{2} +cos^{2} x =1 [/tex]
[tex] 0.81+cos^{2} x=1 [/tex]
Substracting 0.81 both sides:
[tex] cos^{2} x =1-0.81 [/tex]
[tex] cos^{2} x=0.19 [/tex]
Taking root of both sides cosx=0.435
Rounding to nearest hundredth
cosx=0.44.
For each value of w, determine whether it is a solution to -56=7(w-3).
Two numbers are in the ratio of 5:6 if the sum of the numbers is 66 find the largest number
Can anyone help me with these two true/false questions? :)
9. Determine whether the statement is always, sometimes, or never true.
A cubic function has an inverse.
a. always true
b. sometimes true
c. never true
10. Determine whether the statement is always, sometimes, or never true.
A linear function has an inverse relation.
a. always true
b. sometimes true
c. never true
___
Thanks!,
Answer:
9. b. sometimes true
10. a. always true
Explanation:
9. Any function will have an inverse relation. This question is not specific as to whether that inverse relation must be a function. We will assume that that is the intent.
The attached graph shows a cubic function with an inverse function (green), and another without (red).
A cubic function will have an inverse function sometimes.
____
10. As stated above, any function will have an inverse relation.
A linear function will have an inverse relation always.
__
The graph shows a linear function with an inverse function (green), and one that has an inverse relation, but not an inverse function (red).
A line has a slope of -1/2 and a y-intercept of –2. What is the x-intercept of the line? –4, –1, 1 ,4
Vertical line that passes through the point (3,-8)
What is the value of b^2 - 4ac for the following equation?
x^2 + 5x + 4 = 0
A: 9
B: 16
C: 25
Which number is a solution of the inequality? Y>1.9 (1 point)
A. -9
B. -2
C. 2
D. 1.9
Please help!! I'm way behind!
-4x ²-3x+2=0
can you help me solve this
Answer:
x = (-3 ±√41)/8
Step-by-step explanation:
When you match your equation to the form ...
... ax² +bx +c = 0
you can see that ...
a = -4b = -3c = 2These are the values you use in the quadratic formua to find the solutions for x.
... x = (-b ±√(b²-4ac))/(2a) . . . . . . the quadratic formula
... x = (-(-3) ±√((-3)² -4(-4)(2)))/(2(-4)) . . . . fill in a, b, c
... x = (3 ±√(9+32))/(-8) . . . . simplify a bit
... x = (-3 ±√41)/8 . . . . . . put the minus sign in the numerator
Which of the following is the graph of
btw A is wrong (the 2nd pic)
Two buildings are 200 feet apart. the height of the taller building is 50 ft. the angle of depression from the top of the taller building to the top of the shorter building is 8°. what equation below will correctly determine the height (h) of the shorter building?
A charged particle is projected in the air such that its horizontal (x) and vertical (y) shifts are given by x(t) = 10t − t2 and y(t) = 6t, where x and y are in meters and time t is in seconds. What is the ratio of y to x at t = 4 seconds?
In a bag there are 4 blue marbles,8 red marbles, and 5 orange marbles. if two marbles are drawn without replacement find the probability that both marbles are the same color, the second marble being red. the first being blue the second being orange
at the school carnival tickets can be exchanged for prizes. Mason wants a comic book that cost a 176 tickets. He needs 8 times as many tickets as he has now. How many tickets does mason have now?
Can anyone answer this ???
find the perimeter of the quadrilateral. if x = 2 the perimeter is
Answer:
Step-by-step explanation:
Since perimeter of any polygon is represented by sum of its all sides.
Therefore, perimeter of the given quadrilateral = (4x² + 8x) + (3x² - 5x + 20) + (7x + 30) + 31
4x