Answer:
the first bag is 15 ,the second bag is 22.5 and the third bag is 52.5
Step-by-step explanation:
you take the ratios and add them together 2+3+7=12. then you take 2/12×90=15,3/12×90=22.5,7/12×90=52.5 I think I tried
The sides of ∆ABC inscribed in a circle are equidistant from the center. Tricia says that ∆ABC must be equilateral. Which explains whether Tricia is correct?
Answer:
Tricia is correct because the sides of the triangle are congruent since they are equidistant from the center of the circle.
Step-by-step explanation:
Given that the sides of ΔABC inscribed in a circle are equidistant from the center. This implies the triangle is drawn within the circumference of the circle with a center.
Bisecting the three sides of the triangle shows that the three bisectors intersect at a point which is the center of the circle, and the lines are equidistant to this point. This proves that the length of the sides of the triangle are equal, so that the triangle is an equilateral triangle. Therefore, Tricia's statement is correct.
What is the mean of this set: {2, 6, 7, 9, 9, 9)?
6
7
Ο Ο Ο Ο
8
9
Answer:
6.8 nearly 7
Step-by-step explanation:
beacuse mean is sum of all terms in a data/number of terms in the data
Answer: 7
Step-by-step explanation:
To find the mean of a set, you take the sum of the set and divide it by the number of numbers in the set.
[tex]\frac{2+6+7+9+9+9}{6} =\frac{42}{6} =7[/tex]
Twice a certain number minus 7 is equal to 5. What is the number.
Answer:
6
Step-by-step explanation:
Let the number be x.
2x - 7 = 5
Add 7 to both sides.
2x = 5 + 7
2x = 12
Divide 2 into both sides.
x = 12/2
x = 6
The number is 6.
Answer:
6
Step-by-step explanation:
2x-7=5
2x=12
x=6
x=the varible that represents the number
Pls answer i will mark as branliest
Answer:
Part A:
x = 80 degrees
Part B:
A => Corresponding Angles (They correspond to each other)
Hope This Helps!
Don't hesitate asking anything regarding this!
Given the function f(x) = –0.5|2x + 2| + 1, for what values of x is f(x) = 6? x = 6, x = –5 x = 5, x = –5 x = 7, x = –6 no solution
Answer:
Step-by-step explanation:
This is our absolute function for which we are tasked with finding the values of x that make the whole thing equal 6:
-.5 | 2x + 2 | + 1 = 6. Subtracting 1 from both sides gives us
-.5 | 2x + 2 | = 5. Dividing both sides by -.5 gives us
| 2x + 2 | = -10.
Because absolute value is in fact a distance measure, and one of the 2 things in math that will NEVER be negative is distance, there is no solution to this equation.
Answer:
no solution
Step-by-step explanation:
This is our absolute function for which we are tasked with finding the values of x that make the whole thing equal 6:
-.5 | 2x + 2 | + 1 = 6. Subtracting 1 from both sides gives us
-.5 | 2x + 2 | = 5. Dividing both sides by -.5 gives us
| 2x + 2 | = -10.
Because absolute value is in fact a distance measure, and one of the 2 things in math that will NEVER be negative
On average,ea rectangular garden ha an area of 144 meter square. During a redesign of the garden center, the dimension of the rectangular garden are altered but the area is unchanged .The width is doubed and length is decreased by 12m.
Answer:
New dimensions are; Width = 12m and Length = 12m
Step-by-step explanation:
Let length of rectangle be L
Let width be W
Area of rectangle has a formula;
Area = Length x Width = LW
We are given the area = 144 m²
So,
LW = 144 - - - (eq1)
Now, we are told that width is doubled and length is decreased by 12m but area remains the same.
Thus, we have;
Width as 2W and Length as L - 12.
Area = 2W(L - 12)
So,
2W(L - 12) = 144 - - - (eq2)
Equating eq 1 and 2,we have;
LW = 2W(L - 12)
W will cancel out to give;
L = 2(L - 12)
L = 2L - 24
2L - L = 24
L = 24m
From equation 1, LW = 144
Thus; W = 144/L = 144/24
W = 6m
So new design of rectangle now has a dimension of;
Width = 2W = 2 × 6 = 12m
Length = L - 12 = 24 - 12 = 12m
So, new dimensions are; Width = 12m and Length = 12m
Surface area (picture) help me pls
Answer:
108 units²
Step-by-step explanation:
The surface area is the sum of the areas of all the faces
There are 3 rectangular faces ( base, back and sloping face )
There are 2 congruent triangular faces ( sides )
area of base = 8 × 4 = 32 units²
area of sloping face = 8 × 5 = 40 units²
area of back = 8 × 3 = 24 units²
area of triangles = 2 × [tex]\frac{1}{2}[/tex] × 4 × 3 = 4 × 3 = 12 units²
Thus
surface area = 32 + 40 + 24 + 12 = 108 units²
Using the graphing method, which of the following choices is the
solution of system: 3y = x-9
y = -x + 1
Answer:
y=x_1 is the solution of system
If you can, please help answer this algebra question. Which terms are true about the given function?
Answer:
third option
Step-by-step explanation:
When x is less than 3, f(x) is negative so the first statement is false. The second statement is also false because the entire function is not positive. The third statement is true because when x is less than 3 f(x) is negative. The fourth statement is false because the entire function is not negative.
2. The average age of 25 students is 10years
and the average age of another class
30 Students is 15 years. Find the average age
of students of the two classes
Answer:
12.7 years to the nearest tenth.
Step-by-step explanation:
The total of the ages for the 25 students = 10*25 = 250.
For the 30 students it is 15*30 = 450.
The average for the 2 classes = (250 + 450) / (25 + 30)
= 700 / 55
= 12.7 years to the nearest tenth.
Starting from rest the motor boat travels around the circular path (radius of curvature= 40 m),at a speed (v= 0.8 t m/s),where (t) is in seconds. The magnitude of the boat's velocity when it has traveled 20 m is
Answer:
The magnitude of the boat's velocity is 5.66 m/s
Step-by-step explanation:
Given;
Radius of curvature of the circular path, r = 40 m
speed of the boat, v = 0.8 t m/s
The magnitude of the boat's velocity when it has traveled 20 m is ?
a = dv / dt,
v = 0.8 t (differentiate with respect to t)
dv / dt = 0.8 = a
thus, a = 0.8 m/s²
If the boat starts from rest, initial velocity, u = 0
Apply kinematic equation, to solve for the boat velocity at 20 m
v² = u² + 2as
v² = 0 + 2 x 0.8 x 20
v² = 0 + 32
v² = 32
v = √32
v = 5.66 m/s
Therefore, the magnitude of the boat's velocity when it has traveled 20 m is 5.66 m/s
Solve log x = 4. x = 4 x = 40 x = 1,000 x = 10,000
Answer:
x = 10000
Step-by-step explanation:
log x = 4
Raise each side to the base of 10
10^log x = 10 ^4
x = 10 ^4
x = 10000
Answer:
x = 10,000
Step-by-step explanation:
I got it right on the test.
What is the decimal multiplier to decrease by 4.8%?
Answer:
0.952
Step-by-step explanation:
You want to know the multiplier that causes a value to be decreased by 4.8%.
Percentage decreaseA value is said to be "decreased by 4.8%" when 4.8% of the original value is subtracted from the original value:
value - 4.8% × value . . . . . . the meaning of "decreased by 4.8%"
= value × (1 -4.8%) . . . . . . . . . factor out "value"
= value × (1 -0.048) . . . . . . . . . express the percentage as a decimal
= value × 0.952
The decimal multiplier that decreases a value by 4.8% is 0.952.
please help me with this
Answer:
The answers are below
Step-by-step explanation:
a)67.592
b)21.748
c)241.402
Solve for X
A) 9
B) 16
C) 4
Answer:
B) 16
Step-by-step explanation:
8/x= cos 608/x= 1/2x= 8*2x= 16Answer:
B. 16
Step-by-step explanation:
CAH = Adjacent/Hypotenuse
cos60=8/x
xcos60=8
x= 8/cos60
x=8/0.5
x= 16
The following scatter plot demonstrates the relationship between to two variables x and y. The scatter plot shows what. correlation between the variables
Answer:
Positive correlation
Step-by-step explanation:
From the scatter plot shown in the graph above, we can observe that the data points that are clustered in a band run upwards from left of the graph to the right.
In simple terms, both variables move along the same direction, which means, as variable on one axis increases, the variable on the other axis increases as well.
This shows that the variables depicted on the scatter plot are positively correlated. It shows a positive correlation between the variables.
The relationship between the variables on the scatter plot it a positive correlation
From the graph, we have the following highlights
As the x-values increase, the y-values also increase The points appear to be on a straight lineWhen the x and the y values increase or decrease in the same direction, then the correlation of the graph is positive.
Hence, the relationship between the variables on the scatter plot it a positive correlation
Read more about correlation at:
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i dont get itttttttttttttttttttttttt
Answer:
the last option, all nums greater than -3
Step-by-step explanation:
Which is the scale factor of the dilation?
Answer:
needs more information!
Step-by-step explanation:
need more information
Select all angle measures for which sin(∅) = - ( (√2) /2)
a) 3π/4
b) 5π/4
c) 7π/4
d) 9π/4
e) 13π/4
I do not understand the steps to take, thank you for any help
Answer:
b) 5π/4
c) 7π/4
e) 13π/4
Step-by-step explanation:
sin θ = -½√2
There's really no algebra to be done here. There are two ways you can solve. One, you can use a calculator. Two, you can memorize your unit circle.
Either way, it helps to draw the unit circle. sin θ is the y coordinate, so you're looking for points on the circle where y = -½√2. This happens at two places: θ = 5π/4 and 7π/4.
Next, we need to check the options that are greater than 2π.
9π/4 is the same as π/4.
13π/4 is the same as 5π/4.
So the three correct answers are 5π/4, 7π/4, and 13π/4.
Answer:
B
C
D
Step-by-step explanation:
Complete the sentences below the radius of a circle is _____ the length of its diameter. the diameter of a circle is ______ the length of its radius
Answer:
Half; twice
Step-by-step explanation:
In a circle, the radius is said to be the distance from the center of the circle to any point on the edge of the circle, it is denoted as "r". The radius is called a radii if it is more than one.. The radius of a circle is half the length of the diameter of a circle because the diameter of a circle is the distance of the line that passes through the center of a circle touching both edges of the circle. It is denoted as "d".
Thus,
2r = d
r = d/2
For example, if the radius of a circle is 10cm, the diameter of the circle will be calculated as: d = 2 * 10 = 20cm. Which means if the radius is 10cm, diameter will be 20cm.
Therefore, the radius of a circle is half the length of its diameter. the diameter of a circle is twice the length of its radius
Find the Y-intercept of the line graph. (Please help!)
Answer:
-2
Step-by-step explanation:
The y intercept is where the graph crosses the y axis. The graph crosses the y axis at (0, -2), so the y intercept is -2.
The y intercept is useful in slope intercept form, (y=mx+b), where b is the y intercept.
Answer: -2
Step-by-step explanation: The y-intercept of a graph is where the graph crosses or intersects the y-axis.
Notice that the graph shown here hits the y-axis at -2.
So the y-intercept of this graph is -2.
If f(x) = 6x -4, what is f(x) when x = 8?
A.2
B.16
C.44
D.52
Step-by-step explanation:
[tex] f(x) = 6x -4 \\ f(8) \\ f(x) = 6(8) - -4 \\ f(x) = 48 - 4 \\ f(x) = 44
[/tex]
Answer:
C.44
Step-by-step explanation:
Basically, the question is asking for you to plug in 8 for x into the equation, since the function of x is represented by the equation. Therefore, plug in 8 into the equation like this: 6(8)-4
Multiply 6 and 8, then subtract 4 from the product to get your answer
An automobile jack raises the car 1/2 of an inch for each stroke of the lever. How
many strokes of the lever are needed to lift the car 5 inches?
(do not include the units)
1 inch is two 1/2’s so it takes two strokes to lift the car 1 inch.
2 strokes per inch x 5 inches = 10 total strokes.
The answer is 10
Which is the correct rearrangement of the following
formula, making t the subject?
w = vt-6
t = (w - 6)? t = (w + 6)?
t = w2 - 6
t = w2 +6
Answer:
[tex]t = \frac{w + 6}{v} [/tex]
[tex]vt - 6 = w \\ vt = w + 6 \\ \frac{vt}{v} = \frac{w + 6}{v} \\ t = \frac{w + 6}{v} [/tex]
Answer:
t as a subject
Answer:
t = w+6 / v
A rectangle has a length of 12 mm and a width of 15 mm. A new rectangle was created by multiplying all of the dimensions by a scale factor of 1 3 . A rectangle with length 12 millimeters and width 15 millimeters. A smaller rectangle with length 4 millimeters and width 5 millimeters. Which statement best describes the change in the perimeter of the new rectangle? The new perimeter will be One-half times the perimeter of the original rectangle. The new perimeter will be One-third times the perimeter of the original rectangle. The new perimeter will be 2 times the perimeter of the original rectangle. The new perimeter will be 3 times the perimeter of the original rectangle.
Answer:
4 mm by 5 mm1/3 the perimeter of the originalStep-by-step explanation:
When each of the dimensions is multiplied by 1/3, the result is a rectangle that is ...
(12 mm)·(1/3) by (15 mm)·(1/3) = 4 mm by 5 mm
The result is ...
a smaller rectangle with length 4 millimeters and width 5 millimeters
__
The perimeter of the smaller rectangle has the same ratio to the original that the side lengths do.
The new perimeter will be 1/3 times the perimeter of the original rectangle.
The change in perimeter of the new rectangle will be 3 times the perimeter of the original rectangle.
What is the perimeter of a rectangle?For a known length and width of a rectangle, the expression for calculating the perimeter of a rectangle is 2(L × w).
From the given information:
A rectangle's length = 12 mm, and width = 15 mm
Using a Scale factor of 1 : 3A new smaller rectangle's length = 4 mm, and width = 5 mmTherefore, we can deduce that the change in perimeter of the new rectangle will be 3 times the perimeter of the original rectangle.
This is because by using the scale factor:
[tex]\mathbf{\dfrac{1}{3}(12) \times \dfrac{1}{3}(15)}[/tex]
We can get the value for the length and width of the new smaller rectangle as 4 mm and 5 mm respectively.
Learn more about the perimeter of a rectangle here:
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10 people have pink cups. then 5 of those 10 people got red cups and threw the pink cups away. how many people have pink cups?⇒⇒
Answer:
5 people have pink cups
Step-by-step explanation:
10-5=5
:D
Answer:
5
Step-by-step explanation:
10-5=5
^--^
Translate into an algebraic expression: If I travel d miles in h hrs downstream on a river with a current of c mph, what would my speed in still water have been?
Answer:
The speed is still water is [tex]v = \frac{d}{h} - c[/tex].
Step-by-step explanation:
Dimentionally speaking, speed is distance divided by time. Since, the person is travelling downstream, absolute speed is equal to the sum of current speed and speed of the person regarding current. Both components are constant. That is:
[tex]c + v = \frac{d}{h}[/tex]
Where:
[tex]c[/tex] - Current speed, measured in miles per hour.
[tex]v[/tex] - Speed of the person regarding current, measured in miles per hour.
[tex]d[/tex] - Distance travelled downstream, measured in miles.
[tex]h[/tex] - Time spent on travelling, measured in hours.
Speed in still water occurs when current speed is zero. Then, such variable is obtained after subtracting current speed on both sides of the expression. Hence:
[tex]v = \frac{d}{h} - c[/tex]
The speed is still water is [tex]v = \frac{d}{h} - c[/tex].
When you multiply a function by -1 what is the effect on its graph?
Answer:
Step-by-step explanation:
Depends on what you mean by multiplying by - 1. I assume you are not going to multiply the y or f(x) term by - 1.
If that is so, take an example. Suppose you have a graph that is y=x^2
That's a parabola that opens upwards and it has a line going through its focus which is a point on the +y axis.
When you multiply the right hand side by - 1, the graph you get will be y = - x^2.
That opens downward and the focus is on the - y axis.
That means that the effect of the graph is that it flips over the x axis, which I think is the third answer.
Answer:
c
Step-by-step explanation:
ape x
The ratio of money in Obi's wallet to Rudy's wallet one day was 5:2. Obi spent £20 that day. Obi now had £8 less than Rudy. How much did they have initially altogether?
Answer:
Initially, they have £28 altogether
Step-by-step explanation:
Obi: Rudy=5:2
this means that Obi had 5x and Rudy has 2x in their wallets.
Obi spent £20 and 5x-20 left. Obi now had £8 less than Rudy
thus,
2x-(5x-20) =8
2x-5x+20=8
-3x=-12
x=4
obi =5x
=5*4
=20
Rudy =2x
=2*4
=8
This means that initially Obi had £20 and Rudy had £8
Total if Rudy and obi
=£8+£20
=£28
Which is the correct formula to calculate the volume of a sphere?
a.
Four-thirds pi r squared
c.
One-third pi r cubed
b.
Four-thirds pi r cubed
d.
4 pi r cubed
Please select the best answer from the choices provided
A
B
C
D
Not a
Answer:
B
Step-by-step explanation:
Volume of Sphere = 4/3 x 3.14 (pi) x r^2