Answer:
y = 8(2) = 16
Step-by-step explanation:
"If y varies directly as x," then y = kx, where k is the constant of proportionality.
Here, when x = 6, y = 48. This data lets us calculate k:
48 = k*6, or k = 8.
Then the pertinent equation is y = 8x.
If x = 2, y = 8(2) = 16
need help with this Q&A 5
Answer:
C
Step-by-step explanation:
Translate the description as an algebraic expression:
the ratio of 3 and the product of 7 and r
In triangle CVR, the midpoint of segment CR is S and the midpoint segment CV is T. What term can be used to describe segment ST
a. angle bisector
b. chord
c. midsegment
d. perpendicular bisector
Answer:
C. Midsegment
Step-by-step explanation:
A midsegment is the line segment connecting the midpoints of two sides of a triangle. Since a triangle has three sides, each triangle has three midsegments. A triangle midsegment is parallel to the third side of the triangle and is half of the length of the third side.
The picture below is just an example of what midsegments look like. If you draw out triangle CVR, put points in between CR and CV, and draw a line connecting the two points. You'll see that it looks exactly like a midsegment.
The term "midsegment" is being used to denote the ST segment.
A midsegment is a line that connects the midpoints of 2 triangle edges. A triangle's midsegment is half the size of the triangle's 3rd side and runs parallel to it.
If we create a triangle CVR, insert points across CR and CV, and link the two points with a line.
So, Option "C" is the correct answer to the following question.
Learn more:
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brenda runs 3 miles every morning.What is the time taken to complete her daily jogging if she jogs one mile in 6 mins
In parallelogram GHJK if mJKG=115° find m&KGH.
Answer:
x = 65 degree
Step-by-step explanation:
x + 115 = 180 degree (sum of adjacent angles of a parallelogram is 180 degree)
x = 180 - 115
x = 65 degree
Range of f(x)=4x+6
^help please
Answer:
Step-by-step explanation:
the range of f(x) = 4x + 6 is all real numbers
Answer:
it's a linear function, so the range is all real numbers
the equation 4y= -3x + 20 is dilated with a scale factor of 2 centered at the (4,2) What is the equation of the line after the dilation ?
Answer:the same?
4y=-3x+20
I’m not quite sure
find the surface area of the square pyramid
1. 26 ft²
2. 36 ft²
3.40 ft²
4. 56 ft²
Answer:
4. 56 ft²
Step-by-step explanation:
SA = (4×4)+(4×½×4×5)
= 16+40
= 56
Please help i just need to know how to answer these kind of questions
Answer:
Since you didn't ask for the answer
Step-by-step explanation:
sec(∆)=1/cos(∆)
For the above diagram,cos(∆)=15/17
sec(∆)=1/(15/17)
NOTE:I replaced theta
The perimeter of parallelogram ABCD is 96cm. AD is 9 cm more than twice AB. Find the lengths of all four sides of ABCD.
Answer: [tex]AB=CD=13\ cm\ \text{and}\ BC=AD=35\ cm[/tex]
Step-by-step explanation:
Given
ABCD is a parallelogram
Side AD is 9 cm more than twice AB i.e.
[tex]AD=9+2AB[/tex]
Also, for parallelogram
[tex]\Rightarrow AB=CD,BC=CD[/tex]
Perimeter is the sum of the sides
[tex]\therefore AB+BC+CD+AD=96\\\Rightarrow AB+AD+AB+AD=96\\\Rightarrow AB+AD=48\\\\\text{Substitute the value of AD}\\\Rightarrow AB+9+2AB=48\\\Rightarrow 3AB=39\\\Rightarrow AB=13[/tex]
So, [tex]AD=35\ cm[/tex]
Thus, [tex]AB=CD=13\ cm\ \text{and}\ BC=AD=35\ cm[/tex]
Answer: AB=11
AD=31
BC=31
CD=11
Step-by-step explanation:
PLEASE HELP!!!!!
The double box plot below shows the number of daily visitors to two national parks.
Use medians to compare the centers of the data sets.
Which park has greater variability in the number of daily visitors? Show your work.
In general, which park has more daily visitors? Justify your response.
For which park, could you more accurately predict the number of daily visitors on any given day? Explain.
Answer:
Kindly check explanation
Step-by-step explanation:
From the boxplot attached :
Summer lake :
Median = 60 ( point in between the box)
Variability is given by the Range = maximum - minimum = 80 - 40 = 40
Maximum number of visitors = 80
Summer lake distribution is approximately normally distributed, so number of daily visitors can be more accurately predicted on any given day
Canyon Overlook:
Median = 80 ( point in between the box)
Variability is given by the Range = maximum - minimum = 120 - 30 = 90
Maximum number of visitors = 120
Find the area of the shape below 9cm 6cm 15 cm 11 cm
Answer:
8910cm^2
Step-by-step explanation:
Since there is no photo ill just multiply the 4 measurements
9x6x15x11
What's the shape? I'll be more than glad to help but I don't see the shape below. Comment underneath this and I'll try helping out.
A rectangular room is 4 times as long as it is wide, and its perimeter is 50 meters. Find the dimension of the room
Answer:
Width=5m
Lenght= 20m
Step-by-step explanation:
L= Lenght
W= width
perimeter = (2L + 2W) ......eqn(1)
From the question, length of the rectangle is 4 times of it's width
Then
L = (4W)........eqn(2)
But perimeter = 50
Fromeqn(1)
(2L + 2W)= 50........eqn(3)
Sub eqn(1) in eqn(3)
2(4W) + 2W = 50
8W + 2W= 50
10W= 50
W=5
From (1)
L = (4W)
L= 4×5= 20
Lenght= 20
I really need help with this one
Answer:
i thinh 20 in
Step-by-step explanation:
Answer:
20pi in
Step-by-step explanation:
The formula for the circumference of a circle is 2\pi r
R is radius
2 * pi * 10
20 pi
Units - 20 pi in.
does this graph show a function pic out of the multiple choice to explain how
Answer:
B
Step-by-step explanation:
The vertical line test means that if there can't be two y values on the same x point. For example, if you put a vertical line through the red line, it would hit two points, meaning that it isn't a function.
Sam is skiing down a mountain. He starts at the peak 97 yards above sea level and skis down the mountain at a rate of 1.5 yards per second. If it takes him 3 minutes to reach flat ground at sea level, what is the measure of the angle that the mountain slope forms with the ground at sea level to the nearest degree?
Answer:
5.2 degrees the mountain slope forms with the ground at sea level
The angle that the mountain slope forms with the ground at sea level is 20.64°
What is speed?"The distance covered by an object in unit time."
What is hypotenuse?"The longest side of a right triangle."
What is sine angle?"In a right triangle for angle θ ,
sin(θ) = opposite side / hypotenuse "
For given example,
Consider the following figure for given example.
Sam starts skiing at the peak 97 yards above sea level.
⇒ XY = 97 yards
He skis down the mountain at a rate of 1.5 yards per second.
⇒ speed = 1.5 yards per second
It takes him 3 minutes to reach flat ground at sea level.
⇒ t = 3 minutes
⇒ t = 180 seconds
XZ is the distance between peak of a mountain and the ground.
Using speed formula,
⇒ speed = XZ / times
⇒ 1.5 = XZ / 180
⇒ XZ = 1.5 × 180
⇒ XZ = 270 yards
This means the hypotenuse of right triangle XYZ is 270 yards.
Now, we need to find the angle that the mountain slope forms with the ground at sea level.
[tex]\Rightarrow sin(\theta)=\frac{XY}{XZ}\\\\\Rightarrow sin(\theta)=\frac{97}{270}\\\\ \Rightarrow sin(\theta)=0.3526\\\\ \Rightarrow \theta = sin^{-1}(0.3526)\\\\\Rightarrow \theta=20.64^{\circ}[/tex]
Therefore, the angle that the mountain slope forms with the ground at sea level is 20.64°
Learn more about sin(θ) here:
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Find the greatest four digit square number by division method
To find a reasonable estimate using decimal numbers, round the decimal to the nearest whole number, so for example 3.4 x 7.5 You can round 3.4 and 7.5 what would the the answer be? I need help answer please
Answer:
The answer after rounding is 24
Step-by-step explanation:
You would round down 3.4 to 3 and round up 7.5 to 8
3 x 8 = 24
The actual answer of 3.4 x 7.5 is 25.5, so 24 isn't too far off.
Which table shows a proportional relationship between a and b?
A.
a b
3 9
4 12
5 20
B.
a b
20 25
24 30
32 40
C.
a b
4 12
5 15
6 24
D.
a b
3 4
6 9
12 16
Answer:
A
Step-by-step explanation:
3 goes into 9
4 goes into 12
And 5 goes into 20
Last year, of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that planned to provide a holiday gift to their employees. Suppose the survey results are based on a sample of business owners. a. How many business owners in the survey planned to provide a holiday gift to their employees this year
Choose the function whose graph is a parabola.
y = |x + 9|
y = 3\sqrt{x}
y = x 2 - 10
y = -2x
Answer:
y=x2 -10
Step-by-step explanation:
it is because x is squared
PLEASE HELP!!!
Write the factored form of the least common denominator needed to simplify this expression
Answer:
(g+5)x(g-3)
Step-by-step explanation:
The bus ride was 35 minutes long. If the ride ended at 12:05 a.m., what time did the ride begin?
Answer:
11:30 A.M.
Step-by-step explanation:
Answer:
11:30
Step-by-step explanation:
12.05- 35 min and its 11:30
hope that helps bby<3
For the given function, determine consecutive values of x between which each real zero is located. f(x)= -8x^4-3x^3-11x^2+8x+16
Answer:
Option C: there are zeros between x = 1 and x = 2, x = 0 and x = -1
Step-by-step explanation:
The function is given as;
f(x) = -8x⁴ - 3x³ - 11x² + 8x + 16
Since it's the real zero of the polynomial we are looking for, it means there is a possibility of getting an imaginary zero of the polynomial.
A zero is the value of x that will make the polynomial equal to zero.
Let's try;
x = -2;
f(-2) = -8(-2)⁴ - 3(-2)³ - 11(-2)² + 8(-2) + 16
f(-2) = -128 + 24 - 44 - 16 + 16
f(-2) = -148
Let's try x = -1;
f(-1) = -8(-1)⁴ - 3(-1)³ - 11(-1)² + 8(-1) + 16
f(-1) = -8 + 3 - 11 - 8 + 16
f(-1) = -8
Let's try x = 0;
f(0) = -8(0)⁴ - 3(0)³ - 11(0)² + 8(0) + 16
f(0) = 16
Lets try x = 1
f(1) = -8(1)⁴ - 3(1)³ - 11(1)² + 8(1) + 16
f(1) = -8 - 3 - 11 + 8 + 16
f(1) = 2
Let's try x = 2;
f(2) = -8(2)⁴ - 3(2)³ - 11(2)² + 8(2) + 16
f(2) = -128 - 24 - 44 + 16 + 16
f(2) = -164
From the values of f(x) gotten from x= -2 to x =2, we can see that the zeros will be closest to x = 0 and x = - 1 and also between x = 1 and x = 2 since that is the range that produced f(x) to be close to zero.
The terminal side of 0 is in quadrant II and cos 0 = -5/13. What is sin 0?
Answer:
[tex]\displaystyle \sin\theta=\frac{12}{13}[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \cos\theta =-\frac{5}{13}\text{ where $\theta$ is in QII}[/tex]
Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using the Pythagorean Theorem, solve for the opposite side (we can ignore the negative for now):
[tex]o=\sqrt{13^2-5^2}=12[/tex]
And since θ is in QII, sine is positive, and cosine and tangent are both negative.
Sine is the ratio of the opposite side to the hypotenuse. Therefore:
[tex]\displaystyle \sin\theta=\frac{12}{13}[/tex]
Complete the angle addition postulate for the following angle
Answer:
measure of angle GEO.....
Find the ratio of sin (A) please help
Answer:
8/17
Step-by-step explanation:
take angle A as reference angle
using sin rule
sin A = opposite / hypotenuse
sin A = 16/34
sin A = 16/34
sin A = 8/17
Expand 3(c + 3).
3(c + 3) =
Answer:
3c + 9
Step-by-step explanation:
Remember to multiply everything in the brackets by the number outside the brackets.
What is the distance from the origin to point P graphed on the complex plane below?
Answer: (b)
Step-by-step explanation:
Given
Point P can be written as [tex]z=2-5i[/tex]
Distance of Point P can be given by [tex]\left | z \right |[/tex]
[tex]\Rightarrow \left | z\right |=\sqrt{2^2+(-5)^2}\\\Rightarrow \left | z\right |=\sqrt{4+25}\\\Rightarrow \left | z\right |=\sqrt{29}[/tex]
Thus, option (b) is correct.
Answer:
the answer is b
Step-by-step explanation:
What is the ratio of the side length of the side opposite any 30 degree angle and the length of the hypothesis ?
Answer:
1 : 2
Step-by-step explanation:
the ratio is 1 : 2
_____