The radius of the silo is the distance from its center to the outside wall
The radius of the silo is 7 3/8" or 7 3/8 inches
How to determine the radius?From the question, we have the following parameters:
Length of strut = 10'Outside diameter of silo = 14 3/4"The radius is then calculated as:
Radius = 0.5 * Diameter
This gives
Radius = 0.5 * 14 3/4"
Evaluate the product
Radius = 7 3/8"
Hence, the radius of the silo is 7 3/8" or 7 3/8 inches
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A truck carries a load of 50 boxes;some are 20kg boxes and the rest are 25kg boxes. if the total weight of all boxes is 1175 kg, how many of each type are there?
total number of boxes= 50
weight of all the boxes= 1175
some boxes= 25kg
and the rest= 20kg
to find:how many of each type are there.
solution:Let the number of the 20kg boxes = x
and the number of the 25kg boxes = (50-x)
so,
20×(x) + 25×(50-x)
= 1175
20x + 1250 - 25x
= 1175
- 5x = - 75 => x = (-75)/(-5)
= 15
(50–15)
= 35
therefore, 20 kg boxes are 15 and 25 kg boxes are 35.
A sample of 36 people yielded the information about their health insurance in the table to the right.
Two people who provided information for the table were selected at random, without replacement. Find the probability that neither had traditional insurance.
The probability that neither of the two people selected have traditional insurance is 0.33.
What is the probability that neither had traditional insurance?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that neither of the two people selected have traditional insurance = (number of people that chose manage care plan + number of people who dont have any insurance) / total number of people surveryed x [(number of people that chose manage care plan + number of people who dont have any insurance) / total number of people surveryed - 1]
21/36 x 20/35 = 0.33
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Write an expression for the area of the following regular polygon?
Answer:
126x - 42x²
Step-by-step explanation:
Finding the necessary information
P = Perimeter = 6(6 - 2x) = 36 - 12xa = 7xArea
1/2 x (36 - 12x) x 7x(18 - 6x) x 7x126x - 42x²Find N in this equation: N X 4 divided by 2 + 5 - 1 = 20
Hi!
4n/2+5-1=202n+4=202n=20-42n=16n=8what is the fewest numbers of sides a polygon can have. why?
Two stores sell cherries at different prices per pound.
• Store P sells 3.5 pounds of cherries for $13.30.
• The graph below shows the cost to purchase different weights of cherries at Store Q.
.
Cost (dollars)
0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 2.25 2.50
Phillip needs to purchase 10 pounds of cherries. Which statement below is true?
A Phillip will spend $8.00 less on cherries at Store P than at Store Q.
B Phillip will spend $8.00 more on cherries at Store P than at Store Q.
Phillip will spend $6.00 less on cherries at Store P than at Store Q.
Phillip will spend $6.00 more on cherries at Store P than at Store Q.
Answer:
can you post the question but more clear please because I didn't understand
|x+1|+|x-2|=3
WHAT IS THE ANSWER??
Answer:
-1 ≤ x ≤ 2
Step-by-step explanation:
The given equation can be rewritten as a piecewise function and solved in pieces.
The term |x+1| changes definition at x=-1. For x-values less than that, it is defined as -(x+1). Similarly, the term |x-2| changes definition at x=2. For x-values less than that, its definition is -(x-2). In the following, we consider the three pieces of the function.
__
x < -1In this domain, the absolute value functions both have negative arguments, so the equation is effectively ...
-(x +1) -(x -2) = 3
-2x +1 = 3 . . . . . . . simplify
-2x = 2 . . . . . . subtract 1
x = -1 . . . . divide by -2
This value of x is not in the domain we have defined, so there is no solution in this domain.
__
-1 ≤ x ≤ 2In this domain, the function |x+1| has a non-negative argument, but the function |x-2| has a non-positive argument. The equation is effectively ...
(x +1) -(x -2) = 3
x -x +1 +2 = 3 . . . . . eliminate parentheses, group like terms
3 = 3 . . . . . . . . . true for the entire domain
The solution here is -1 ≤ x ≤ 2.
__
2 < xBoth absolute value terms have positive arguments in this domain, so the equation is effectlvely ...
(x +1) +(x -2) = 3
2x -1 = 3 . . . . . simplify
2x = 4 . . . . add 1
x = 2 . . . . divide by 2
This value of x is not in the domain we have defined, so there is no solution in this domain.
__
The solution to the given equation is -1 ≤ x ≤ 2.
Financial Literacy Paul earns $25 for grooming a dog plus $18.50
per day for boarding the same dog.
e. Write an equation to find the amount of money Paul earned m
for grooming a dog once and boarding it for any number of days d.
f. Make a table to find his earnings for 5, 6, 7, or 8 days. Then graph
the ordered pairs.
Answer:
e): m=18.50d + 25
Step-by-step explanation:
what is the slope of a line (0,2) (-1,-3)
Answer:
The slope of the line is 5.
Step-by-step explanation:
You need to use the slope formula.
Slope Formula: y2 - y1 / x2 - x1
Your coordinates: (0,2) and (-1, -3)
Do -3 - 2 / -1 - 0
This is because the -3 is your y2 and the 2 is your y1
**Same goes with x but different numbers since it is the x coordinates.**
Now, do -3 - 2 first.
The negatives turn into a positive meaning you have to add the two.
But the bigger number 3 is negative so, your answer should contain a negative.
-3 -2 = -5
Do -1 - 0
This should be an addition problem but contain a negative answer.
-1 -0 = -1
-5/-1 as final.
The negatives cancel, and 5/1 is 5
Your slope is 5.
Answer:
The slope of the line is 5
Step-by-step explanation:
Slope(m) formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
y₂ = -3
y₁ = 2
x₂ = -1
x₁ = 0
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-3-2}{-1-0} \\\\m=\frac{-5}{-1}\\\\m=5[/tex]
Hope this helps!
What is the elapsed time and estimated time
Answer:
The formula for calculating elapsed time is elapsed time = end time – start time. Subtract the minutes and hours separately. For example to calculate the elapsed time between 12:10 and 16:40, subtract 12:10 from 16:4. Looking at the hours, 16 – 12 = 4 and looking at the minutes, 40 – 10 = 30.
Brainliest and 100 points! I need this answer ASAP.
What is the equation of the graphed function?
Enter your answer in the box.
f(x)=______________
Answer:
f(x) = x² - 4x + 2 or f(x) = (x - 2)²
Step-by-step explanation:
The parabola touches the x-axis at only one pointIf we use y = a(x − h)² + k, we can see from the graph that h = 2 and k = 0This gives us y = a(x − 2)²What is the value of "a"?
We also see that the y-intercept is (0, 4)We can plug it into the equation4 = a(0 - 2)²4a = 4a = 1So, our quadratic equation will be :
y = 1(x - 2)²y = x² - 4x + 2 or y = (x - 2)²Answer:
f(x)=(x-2)^2
Step-by-step explanation:
They deleted my first answer, the one you marked brainliest :/
Promise this is correct, but i don't know how to explain it. The person above me did it wonderfully though. Hope this helped <3, Have a great day!
Moving with a speed of v km/hour, a steam boat travels the distance between the
points A and B, which is 200 km, in t hours.
Find the formula which describes t as a function of v.
Answer:
t = 200/v
Step-by-step explanation:
The relationship between speed, distance, and time is ...
d = vt
Solving for t gives ...
t = d/v
For a distance of d=200 km, the time in hours will be ...
t = 200/v . . . . . . where v has units of km/hour
The sum of two numbers is 55. Their difference is −1. Find the numbers.
Step-by-step explanation:
lets say the first is x and the second is y then we can say
x+y=55 ......1
x-y= -1 .......2
by adding 1 with 2 then
x+y+x-y=55+(-1)
==> 2x= 55-1=54
==> x= 54/2=28
if we put x=28 in the 2nd equation then
28-y= -1
==> y=29
Which one has the same volume
Answer:
u should've cropped out ur name
Step-by-step explanation:
The equation that defines 'x' as a function of 'y' will be x = 5 - 3y. Then the correct option is A.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
Let's check all the options, then we have
A. x = 5 - 3y, the independent variable is 'y' and the dependent variable is 'x'.
B. y = 0x + 5, the independent variable is 'x' and the dependent variable is 'y'.
C. x² + y² = 2, it is not a function because the number of values of 'x' and 'y' will be two.
D. x² = y, it is not a function because the number of values of 'x' will be two.
The equation that defines 'x' as a function of 'y' will be x = 5 - 3y. Then the correct option is A.
More about the function link is given below.
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How to graph (x-2)(y-3)=0
Answer:
This is what it should look like. The slope is 0 and there are two points. (0,3) (1,3)
The number 111…111 (100 ones) is multiplied by 101. The resulting number is then also multiplied by 101. The number obtained in the second step is again multiplied by 101. What is the sum of the digits of the number obtained in the third step?
Answer:
800
Step-by-step explanation:
The three multiplication steps are equivalent to multiplying by ...
101³ = 1030301
The sum of digits of the product will be the sum of digits of the partial products, since none of the digit-by-digit multiplications results in a product that is more than 10.
The sum of digits of the third product is ...
(1 × 100) × (1 + 3 + 3 + 1) = 800
The point of intersection of the diagonals of a rectangle is 4 cm further away from the smaller side than from the larger side of the rectangle. The perimeter of the rectangle is equal to 56cm. Find the lengths of each side of the rectangle
Answer:
smaller side: 10 cmlarger side: 18 cmStep-by-step explanation:
The given relationships can be translated to equations using L and W for the length and width of the rectangle. The distance from the center to the short side is L/2, and the distance from the center to the long side is W/2.
SetupP = 2(L +W) . . . . . formula for the perimeter
56 = 2(L +W) . . . . . the perimeter is 56 cm
L/2 = 4 + W/2 . . . . . distance to short side is 4 cm longer
__
SolutionDividing the first equation by 2 gives ...
28 = L +W
Multiplying the second equation by 2 gives ...
L = 8 + W
Substituting for L in the first equation, we have ...
28 = (8 +W) +W . . . . . . use L=8+W
20 = 2W . . . . . . . . .subtract 8
10 = W . . . . . . . . divide by 2
L = 8 +10 = 18 . . . . . find the length
__
The smaller side is 10 cm; the larger side is 18 cm.
How do I find the area of the blue shape? Don't worry about the other colored one.
Answer:
80 cm²
Step-by-step explanation:
Let's break down the composite shape into two parts. (Image attached)
Let "a" represent the area of the smaller square.Let "b" represent the area of the bigger square⇒ The side length of "a" is 4 cm.
⇒ The side length of "b" is 8 cm.
First, let's find the area of square "a". Keep in mind that the area of a square is the side multiplied by itself.
⇒ (Side)² = A
⇒ (4)² = Area of "a"
⇒ (4)(4) = Area of "a"
⇒ 16 cm² = Area of "a"
Next, find the area of square "b". Keep in mind that the area of a square is the side multiplied by itself.
⇒ (Side)² = A
⇒ (8)² = Area of "b"
⇒ (8)(8) = Area of "b"
⇒ 64 cm² = Area of "b"
Finally, let's sum up the area of square "a" and "b" to find the area of the composite shape.
⇒ Area of composite shape = Area of "a" + Area of "b"
⇒ Area of composite shape = 16 + 64
⇒ Area of composite shape = 80 cm²
In 2014, the population of a state was approximately 1,624,000. If the population decrease was about 0.59%, find the population of the state in 2016.
Answer:
1,614,312.
Step-by-step explanation:
0.59% = 0.0059 as a decimal fraction.
Population in 2016 = 1,624,000 - 0.0059 * 1,624,000
= 1614312
You and your friend are standing on the baseline of a
basketball court. You bounce a basketball to your friend, as shown in the diagram. What is the
distance between you and your friend? Round your answer to the nearest tenth.
The distance between you and your friend rounded to the nearest tenth is 10.7 feet.
How to find the length of a triangle using cosine rule?The distance between you and your friend can be found using cosine rule.
Therefore,
c² =a² + b² - 2ab cos C
Therefore,
let
x = distance between him and his friend
x² = 7² + 6² - 2 × 7 × 6 cos 110°
x² = 49 + 36 - 84 × -0.34202014332
x² = 49 + 36 + 28.7296920394
x² = 113.729692039
x = √113.729692039
x = 10.6644124076
x = 10.7 ft
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Calculate the following measures:
angle PSQ = 65 (central angle is 130, which means arc PQ is 130, and half of the arc is the inscribed angle)
angle AQS = 35 (congruent to angle SPR)
arc QR = 50 (180-130)
arc RS = 70 (35*2=70)
arc PS = 110 (35*2, making arc SR 70, subtract all arcs from 360 to get 110.
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Please help me with Part C of this question
Answer:
14-18 minutes
Step-by-step explanation:
Part a is 32 inches per minute
part b is 252 inches per minute
The question asks the change in elevation fastest, in part b 252 is greater than 32 so 14-18 minutes is the answer.
Answer:
14-18 minutes
Step-by-step explanation:
Part a is 32 inches per minute and part b is 252 inches per minute
this question asks the change in elevation fastest, in part b 252 is greater than 32 so 14-18 minutes is the answer.
Evaluate x3 - x + x0 for x = -1.
What is Y equals 3X +20
Answer:
y = 3x + 20
This is an equation, in slope-intercept form, which represents a the placement of a line. The 3 in the equation represents the slope of the line, and the 20 represents the y-intercept.
A demolition crew can do a job in 10 days. Another demolition crew can do the same job in 15 days. How many days would it take the two crews to do the job if they work together?
Answer:
6 days
Step-by-step explanation:
In one day, one demolition crew:
One day = [tex]\frac{1}{10} x[/tex] with x = the entire job
Other demolition crew:
One day = [tex]\frac{1}{15} x[/tex]
Together, they do it in [tex]\frac{1}{10}x\\[/tex] + [tex]\frac{1}{15}x[/tex] = [tex]\frac{3}{30}x + \frac{2}{30}x = \frac{5}{30}x[/tex] [tex]= \frac{1}{6}x[/tex] in one day
So [tex]\frac{1}{6}x[/tex] x 6 = x
so it takes 6 days to complete the work together.
Ama and Kwame shared an amount of money.
If Ama received one third of the money. Which
fraction is for Ama's share?
Please help me with this question. Worth 90 points.
Answer:
3510000
Step-by-step explanation:
Answer:
3510000
Step-by-step explanation:
234,000×6percent
that answer*3percent then substract that 3 percent from . the number before multiplied it by three percent
Help I don't understand this math. Whoever gets the right answer gets Brainlist! :)
Do the graph and table to find the equation that represents the relationship for each of the 2 questions! :)
Answer:
1) y=x-4
2)y=x+2
Step-by-step explanation:
You can see on the first one y is just 4 less than x
You can see that the second one (graph) has a slope. As by the points, if you increase x by 0.5 you increase y by one.
Thus, y=x+2
Hope this helped! I can't see much of the question :)
Find the area of the figure.
answer:
4.5m²
explanation:
1. find area of the circle
A(circle)=πr²
A=π(2.3²)
A=16.62m²
2. find area of the square
the diameter of a circle is twice its radius. when you multiply 2.3 by two, you get 4.6. since the circle reaches to the sides of the square, the diameter is also the length of a side on the square.
A(square)=s²
A=4.6²
A=21.16m²
3. subtract the two areas
to find the area of the shaded sector, we need to subtract the area of the circle from the area of the square.
A(shaded)=21.16-16.62
A=4.54097487m²
(be sure to round as necessary)
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Write an equation in standard form of the hyperbola described.
Vertex (10, 0); focus (-26, 0); center (0,0)
Check the picture below, so the hyperbola looks more or less like the one below, let's find the conjugate axis or namely the "b" component.
[tex]\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{cases} h=0\\ k=0\\ a=10\\ c=26 \end{cases}\implies \cfrac{(x-0)^2}{10^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 26^2=10^2+b^2\implies 676=100+b^2\implies \underline{576=b^2} \\\\\\ \cfrac{(x-0)^2}{10^2}-\cfrac{(y-0)^2}{576}\implies \boxed{\cfrac{x^2}{100}-\cfrac{y^2}{576}}[/tex]
