Answers
EC= 6.5/2 = 3.5
Therefore, CD= 3.5
HOPE THIS HELPS! :))
Related Questions
a bus makes a stop at 1:15,letting off 14 people and letting on 9 the bus makes another stop 3 minutes later an lets off another 4 peole,no more people get on.how many fewer people are on the hus after the second stop than were on the bus before the 1:15 stop?
Answers
write an equation of the line that passes through (-1,0) and (0,0)
y=
Answers
Answer:
y = 0
Step-by-step explanation:
the 2 points (- 1, 0 ) and (0, 0 ) both have the same y- coordinate.
this indicates the line is horizontal with equation
y = c ( c is the value of the y- coordinates the line passes through )
both points have a y- coordinate of 0 , then
y = 0 ← equation of line
A Crayon is shown here.
There are 24 crayons in a box. What is the approximate total volume of the crayons?
A. 66 cm3
B. 89 cm3
C. 1,583 cm3
D. 2,148 cm3
Answers
The volume of the single crayon is 89.5 cm³, then the total volume of the crayons will be 2148 cm³. Then the correct option is D.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A Crayon is shown here.
There are 24 crayons in a box.
The approximate total volume of the crayons will be
Total Volume of crayons = 24 × volume of the single crayon
The crayon is the combination of the cone and the cylinder
Then the volume of the single crayon (V₁) will be
\(\rm V_1 = \left ( \dfrac{1}{3} \times \pi \times r^2 \times h \right ) + \left ( \pi \times r^2 \times h \right )\\\\\rm V_1 = \left ( \dfrac{1}{3} \times \pi \times 1.5^2 \times 2 \right ) + \left ( \pi \times 1.5^2 \times 12 \right )\\\\V_1 = 4.712 + 84.82\\\\V_1 = 89.535 \approx 89.5\)
Then the Total volume will be
Total volume = 24 × 89.5
Total volume = 2148 cm³
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acid solution a has a 50% acid concentration, and acid solution b has a 20% acid concentration. how many ounces each of solution a and solution b must be mixed to produce 100 ounces of an acid solution with a 41% acid concentration?
Answers
Solution a needed 70 ounces and solution b needed 50 ounces
What does "1 ounce" mean?
One ounce weighs 437.5 grains or 28.349 grams and is a sixteenth of a pound (avoirdupois) of weight.
One ounce, abbreviated "oz," equals 480 grains, or 31.103 grams, and is one-twelfth of a Troy or Apothecaries' pound in weight. abbreviation for fluid ounce. a tiny amount or percentage.
So, let x=the of ounces of the 50% acid solution. The total volume after both are mixed is 100 ounces so the amount of the 20% solution will be 120-X. The equation will therefore be:
50% * x + 20% * (100-x) = 41% * 100
Dropping the ‘%’ we get
50x + 2000 - 20x = 4100
30x = 2100
x = 2100/30 = 70
Hence 70 ounces will be needed
Solution a = 70 ounces
Solution b = 50 ounces
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solve sinx = 2x-3 using false position method
Answers
The root of the equation sinx = 2x-3 is 0.8401 (approx).
Given equation is sinx = 2x-3
We need to solve this equation using false position method.
False position method is also known as the regula falsi method.
It is an iterative method used to solve nonlinear equations.
The method is based on the intermediate value theorem.
False position method is a modified version of the bisection method.
The following steps are followed to solve the given equation using the false position method:
1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.
Here, f(x) = sinx - 2x + 3.
2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))
3. Evaluate the function at point c and find the sign of f(c).
4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.
5. Repeat the steps 2 to 4 until we obtain the required accuracy.
Let's solve the given equation using the false position method.
We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.
So, the root lies between 0 and 1.
The calculation is shown in the attached image below.
Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).
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1. Which of the following is equivalent to the
statement below? (CP)
"4 times the sum of a number and 3."
4(x + 3)
Work:
a. 4x + 3
c. 7x
b. 12x + 4
d. 4x + 12
Answers
Answer: D.
Step-by-step explanation: Apply the distributive property.
4
x
+
4
⋅
3
Multiply
4
by
3
.
4
x
+
12
Find the area of the parallelogram below:
What is the area?
Answers
Answer:
The area of the parallelogram is 630.4 square units, to the nearest tenth.
Step-by-step explanation:
The formula to find the area of a parallelogram is:
\(A=bh\)
where b is the base and h is the height.
For the given parallelogram ABCD, BC and AD are the bases and h is the height. Therefore, we need to calculate the height, h, before we can calculate the area of the parallelogram.
The height of the parallelogram is also the side opposite angle 62° in the right triangle of the given diagram. As we also know the hypotenuse of this triangle, we can use the sine trigonometric ratio to find "h".
\(\boxed{\begin{minipage}{9 cm}\underline{Sine trigonometric ratio} \\\\$\sf \sin(\theta)=\dfrac{O}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)
Given:
θ = 62°O = hH = 21Therefore, the expression for h is:
\(\implies \sin 62^{\circ}=\dfrac{h}{21}\)
\(\implies h=21\sin 62^{\circ}\)
Given the base of the parallelogram is 34 units, substitute b = 34 and the expression for h into the formula for the area:
\(\begin{aligned}\implies \textsf{Area}&=34 \cdot 21\sin 62^{\circ}\\&=630.424581...\\&=630.4\; \sf square\;units\;(nearest\;tenth) \end{aligned}\)
Therefore, the area of the parallelogram is 630.4 square units, to the nearest tenth.
Helppp!!!!!!!!!!!!!!!!!!!!!
Answers
The value of x is equal to 15°
How to determine the value of x?In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.
Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.
By substituting the given parameters, we have the following:
3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.
3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.
23x + 15 = 360°.
23x = 360 - 15
23x = 345
x = 345/23
x = 15°.
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The table below represents a linear function for the cost of a gym membership based on the number of months of membership.
Time (month) Cost
1 $105
3 $165
5 $225
7 $285
What is the slope and y-intercept of the linear function?
The slope is ____ and the y-intercept is ___.
Answers
Answer:
The slope is 30, and the y-intercept is 75.
Step-by-step explanation:
Use two points from the table, and find the equation of a line given two points.
Point 1: (1, 105)
Point 2: (3, 165)
y = mx + b
slope = m = (y_1 - y_1)/(x_2 - x_1)
m = (165 - 105)/(3 - 1) = 60/2 = 30
y = 30x + b
Use point (1, 105) for x and y.
105 = 30(1) + b
105 = 30 + b
b = 75
y = 30x + 75
The slope is 30, and the y-intercept is 75.
15.
Marco is making blueberry muffins. The ratio between flour and blueberries for the recipe being used is shown in the table below.
Cups of Cups of
Flour Blueberries
1-2
24
A.Ocup
2
8
How many cups of blueberries will Marco need if he has 2 cups of flour to use?
B.
cup
D
1
2
3
4
1
c. 11 cups
6 cups
Answers
Therefore , the magical ratio for muffins is therefore 2:2:1:1, which is the answer to the ratio problem that was provided.
What is a ratio?An ordered combination of numbers “ a ” and “ b that is stated as just a / b, where b not greater than zero, is referred to as a ratio. A ratio is the result of equating two ratios. If there were one boy and three girls, the ratio could be shown as 1:3. 1/4 are boys, and 3/4 are girls. A part is a number, a proportion of size, or a difference among two or more things.
Here,
Since: Marco To avoid your batter and bakery items acquiring a purple-blue tinge, wash freeze blueberries multiple times in water it until water becomes lighter in color.
The magic muffin ratio is 2:2:1:1, which equals 1-two cups and 2,8 cups.
With a paper towel, dry them off, and then delicately fold it into the batter. Maintaining the lightness of rapid breads is the aim of this process.
The magical ratio for muffins is therefore 2:2:1:1, which is the answer to the ratio problem that was provided.
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how many different ways are there to get 8 heads in 16 throws of a true coin?
Answers
To get 8 heads in 16 throws of a fair coin there are 12870n different ways and we get by combination
We have 16 throws, and we want to select 8 of those throws to be heads (assuming a fair coin).
The remaining 16 - 8 = 8 throws will be tails.
The number of ways to choose 8 heads out of 16 throws can be calculated using the binomial coefficient formula:
C(n, k) = n! / (k!(n - k)!)
where C(n, k) represents the number of combinations of n items taken k at a time, and n! denotes the factorial of n.
Applying this formula to our situation, we have:
C(16, 8) = 16! / (8!(16 - 8)!)
Calculating the factorial values:
16! = 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 20922789888000
8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40320
(16 - 8)! = 8! = 40320
Substituting these values into the formula:
C(16, 8) = 20922789888000 / (40320 × 40320) = 12870
Therefore, there are 12,870 different ways to get 8 heads in 16 throws of a fair coin.
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Pls last one and I’ll finally be able to sleep someone pls make sure it’s right
Answers
Answer:
-2/2 = -1/1 = -1
A random sample of 100 middle schoolers were asked about their favorite sport. The following data was collected from the students.
Sport Basketball Baseball Soccer Tennis
Number of Students 17 12 27 44
Which of the following graphs correctly displays the data?
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44
Question 15(Multiple Choice Worth 2 points)
Answers
Answer:Answer: A. tennis=17 , soccer= 12, baseball=27, basketball=44
BAR GRAPH make sure its not a histogram!!
Step-by-step explanation:
just took the test
The time is takes a police department to arrive at the scene of a crime is normally distributed with a mean of 4.5 minutes and a standard deviation of 0.8 minutes. What percent of time will the police take 4 minutes or less to arrive? Calculate the z-score, and use the table on page 447 of the textbook
Answers
Given:
\(Mean\text{ }\mu\text{ =4.5, standard deviation }\sigma\text{ =0.8, and x =4.}\)Required:
We need to find the percentage of the time will the police take 4 minutes or less to arrive.
Explanation:
Consider the z-score formula.
\(z=\frac{x-\mu}{\sigma}\)\(Substitute\text{ }\mu\text{ =4.5, }\sigma\text{ =0.8, and x =4 in the formula.}\)\(z=\frac{4-4.5}{0.8}\)\(z=-0.625\)P-value from Z-Table
\(P(x<4)=0.26599\)Multiply by 100 to find the percentage.
\(P(x<4)\text{ \%}=0.26599\times100\)\(P(x<4)\text{ \%}=26.599\text{ \%}\)\(P(x<4)\text{ \%}=27\text{ \%}\)Final answer:
27 % of the time will the police take 4 minutes or less to arrive.
What is the purpose of carbon sequestering technology? To remove carbon from the air and put it into the ground To use respiration to remove carbon from the air To release carbon from the ocean and move it into the air To store carbon in glaciers and snow
Answers
Carbon sequestering technology has the main purpose of being used To remove carbon from the air and put it into the ground.
Find out more below.
What is carbon sequestering?Carbon Sequestering refers to various processes that are used to remove the carbon in the air. This carbon is then stored in various places such as the ground and the oceans.
Carbon Sequestering happens naturally such as the process of photosynthesis. Thanks to Carbon Sequestering technology however, humans are able to use the technology to reduce our carbon footprint on Earth.
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I NEED HELP!!
This is a another question, I'll give you 50 points and a brainlist if you figure this out, all you have to do is to Solve the following multi-step equation, and write it out and describe it on a piece of paper or on your computer don't send me links send me screenshots of your work
Answers
Answer:
4x=0
Step-by-step explanation:
it is true
Answer:
left hand side6+2x
6x-6
right hand side
3(2x-2)
6x-6
now
6x-6=6x-6
0=0
it has no Solution
Claire buys a car for 5700pounds
she pays a deposit of 12%
she then pays the rest of the cost in 15 equal monthly payments.
how much is each monthly payment?
Answers
Answer:
£334.40
Step-by-step explanation:
12% of 5700
= \(\frac{$(12\times 5700)/100$}\)
= 684
= the deposit
5700 - 684 = 5016
this is the amount that needs to be paid after the deposit.
5016 / 15 = 334.40
= £334.40
A skateboarder wants to build a ramp to get over a cement wall. The height of the wall is 10 feet. If the ramp is 20 feet long, what is the angle of elevation between the ground and the ramp?
Answers
Answer:
θ = 30°
Angle of elevation is 30°
Step-by-step explanation:
Given;
Height of wall w = 10 ft
Length of ramp l = 20 ft
Angle of elevation = θ
Applying trigonometry;
Sinθ = opposite/hypothenuse
Where;
Height of wall w = opposite (it's opposite the angle of elevation)
Length of ramp l = hypothenuse
Sinθ = w/l
θ = arcsine (w/l)
Substituting the values;
θ = arcsine (10/20)
θ = arcsine (0.5)
θ = 30°
Angle of elevation is 30°
A hospital uses methicillin, an antibiotic, in its daily operations. Demand for the antibiotic is normal with a mean of 43 pills a day and a standard deviation of 19 pills per day. It takes the supplier for the hospital 9 days to ship an order to the hospital once the order is made; the standard deviation for this lead time is 1 day. The hospital insists on a service level of 99.9%. What is the minimum safety stock that the hospital uses for the antibiotic?
Answers
The minimum safety stock that the hospital should use for the antibiotic is 68 pills.
To calculate the minimum safety stock, we need to consider the demand during the lead time and the desired service level.
The lead time is 9 days with a standard deviation of 1 day. The demand for the antibiotic has a mean of 43 pills per day and a standard deviation of 19 pills per day.
First, we calculate the demand during the lead time:
Demand during lead time = Mean demand per day * Lead time = 43 * 9 = 387 pills
Next, we calculate the standard deviation of demand during the lead time:
Standard deviation of demand during lead time = Standard deviation per day * Square root of lead time = 19 * √9 = 57 pills
To achieve a service level of 99.9%, we need to account for 3 standard deviations of demand. The z-score corresponding to a service level of 99.9% is approximately 3.09.
Safety stock = (Z-score * Standard deviation of demand during lead time) - Demand during lead time
= (3.09 * 57) - 387
= 68 pills
To maintain a service level of 99.9%, the hospital should maintain a minimum safety stock of 68 pills for the antibiotic. This ensures that there is an adequate buffer to cover the variability in demand during the lead time and reduces the risk of stockouts.
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8x365! Please need soonnnnnn
Answers
Answer:
2920
Step-by-step explanation:
trust me it's the answer:)
Watcrreu
The approximate populations of Missouri and Alaska (as of 2019) are listed below:
Missouri: 6.14 x 106
Alaska: 7.32 x 105
How much greater was the population of Missouri than the population of Alaska?
Express your answer using either standard notation or scientific notation.
Scientific Notation
Answer:
X10
people
Submit Answer
O
E
Answers
Answer:
Step-by-step explanation:
The cost of a package is determined by the weight of the
box and standard shipping charges. If the standard shipping
charge is 7.50 and it costs $2.00 every ounce of the
package, write an equation where W represents the weight
of the package in ounces, and C represents the total cost of
shipping the package.
Answers
The equation for determining the total cost of shipping the package would be: C = 2W + 7.50
To determine the cost of shipping a package, we need to take into account both the weight of the package and the standard shipping charge.
Since it costs $2.00 for every ounce of the package, we can represent the weight of the package in ounces as W.
The total cost of shipping the package can be represented as C.
Therefore, the equation for determining the total cost of shipping the package would be:
C = 2W + 7.50
This equation takes into account the weight of the package (2W) and the standard shipping charge ($7.50) to determine the total cost of shipping the package.
It's important to note that this equation assumes that the package is being shipped domestically within the United States.
If the package is being shipped internationally or requires expedited shipping, the shipping charges may be different and would need to be taken into account in the equation.
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find the probability that a randomly selected point within the circle falls in the red shaded area
Answers
The probability that a point within the white circle lies on the red circle is P = 0.44
How to find the probability?The probability will be given by the quotient between the area of the red square and the area of the circle.
On the diagram we can only see two squares, so Im assuming that it should say "square" instead of circle.
The area of the large square is:
A = 3*3 = 9
The area of the red square is:
A' = 2*2 = 4
Then the probability is:
P = 4/9 = 0.44
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find the net change in the value of the function between the given inputs. f(x) = 6x − 5; from 1 to 6
Answers
The net change in the value of the function between x = 1 and x = 6 is 30.
To find the net change in the value of the function between the inputs of 1 and 6, we need to find the difference between the output values of the function at x = 1 and x = 6, and then take the absolute value of that difference.
First, we can find the output value of the function at x = 1:
f(1) = 6(1) - 5 = 1
Next, we can find the output value of the function at x = 6:
f(6) = 6(6) - 5 = 31
The net change in the value of the function between x = 1 and x = 6 is the absolute value of the difference between these two output values:
|f(6) - f(1)| = |31 - 1| = 30
Therefore, the net change in the value of the function between x = 1 and x = 6 is 30.
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whats the solution to 2/3x^2+24
Answers
Answer:
you cant solve for x if it doesnt equal to something.
Step-by-step explanation:
5. 37°. If maN = (13x)° what is the value of x and the maN?
Answers
The value of x is approximately 2.8462° and the value of maN is 37°.
To find the value of x and maN, we need to use the given information. According to the question, maN is equal to (13x)°.
To solve for x, we can set up an equation:
maN = (13x)°
Now, since we know that maN is equal to 37°, we can substitute this value into the equation:
37° = (13x)°
To isolate x, we divide both sides of the equation by 13:
37° / 13 = (13x)° / 13
This simplifies to:
2.8462° ≈ x°
Therefore, the value of x is approximately 2.8462°.
Now, let's find the value of maN. We already know that maN is equal to (13x)°. Substituting the value of x that we just found, we get:
maN = (13 * 2.8462)°
Simplifying the multiplication:
maN = 37°
So, the value of maN is 37°.
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problem: report error let be a convex hexagon. let be the centroids of triangles respectively. (a) show that every pair of opposite sides in hexagon (namely and and and and ) are parallel and equal in length. (b) show that triangles and have equal areas.
Answers
a) Opposite sides of a convex hexagon formed by connecting the centroids of triangles are parallel and equal in length. b) Triangles and have equal areas
a. In a convex hexagon, the centroids of opposite triangles are connected to form opposite sides. These centroid-to-centroid connections bisect the corresponding sides of the hexagon. Since the centroids divide each side of the triangle in a 2:1 ratio, the centroid-to-centroid connections of opposite sides are parallel. Additionally, the centroid divides each side of the triangle into two segments with lengths in a 2:1 ratio. Therefore, the centroid-to-centroid connections of opposite sides have the same lengths. Hence, opposite sides in the hexagon are parallel and equal in length.
b. The centroid of a triangle divides each median in a 2:1 ratio. Let and be the midpoints of sides and, respectively. By connecting and , we form the median of triangle. The centroid divides this median into segments and , with the length of . Similarly, by connecting and , we form the median of triangle , which is divided by the centroid into segments and , with the length of . Since the centroid divides each median in a 2:1 ratio, we have and . Therefore, triangles and have equal areas. The ratio of their areas is (1/2) * (2/1) = 1, indicating that they have the same area.
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Change 61.5 km into metres.
Answers
Answer:
61500m
Step-by-step explanation:
To convert km into m, multiply by 1000
Answer:
61500metres.
hope it helps.
How many groups of 4 make 20?
Answers
Answer:5
Step-by-step explanation:
20/4=5
How many 2 1/7 inch pieces of thread can be
cut from a spool with 8 3/4 inches of thread?
Answers
A spool of thread measuring 8 3/4 inches long and 4 inches wide can be cut into 2 1/7 inch pieces.
How many pieces of thread can be cut ?In light of the conditions stated, come up with: \($\frac{8 \frac{3}{4}}{2 \frac{1}{7}}$\) To improper fractions, change the mixed numbers to: \($\frac{\frac{35}{4}}{\frac{15}{7}}$\) Multiply the reciprocal of a fraction to get its division: \($\frac{35}{4} \times \frac{7}{15}$\)
Mark this common element as a no-go: Multiplying \($\frac{7}{4} \times \frac{7}{3}$\) Mark the common element as absent: Multiplying \($\frac{7 \times 7}{4 \times 3}$\) . Put the following in one fraction : \($\frac{49}{12}$\) . The product or quotient should be
calculated.Find the biggest number that is greater than \($\frac{49}{12}$\) and less than or equal to it . A spool of thread measuring 8 3/4 inches long and 4 inches wide can be cut into 2 1/7 inch pieces.Otherwise, you or a device will need to count 127 turns (the irreducible repeat, independent of thread pitch), after which the half nut must be closed.
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