Final answer:
To find the length of the hypotenuse in a right triangle with legs of 7 ft and 10 ft, we use the Pythagorean theorem, resulting in a hypotenuse of approximately 12.21 feet.
Explanation:
The student is asking about the length of the hypotenuse in a right triangle where one leg is 7 ft and the other is 10 ft. To find the hypotenuse, we use the Pythagorean theorem which states a² + b² = c², where a and b are the lengths of the legs of the triangle, and c is the length of the hypotenuse.
For this triangle, the calculations would be:
a² = 7² = 49
b² = 10² = 100
a² + b² = c²
49 + 100 = c²
149 = c²
c = [tex]\sqrt{149[/tex]
c = 12.21 ft (rounded to two decimal places)
Therefore, the length of the hypotenuse of the triangle is approximately 12.21 feet.
There is a bag filled with 3 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting at least 1 red?
Answer:
1/7
Step-by-step explanation:
i learned this arealdy
The probability of drawing at least one red marble from a bag containing 3 blue and 5 red marbles in two draws without replacement is 19/28.
To find the probability of drawing at least one red marble from a bag with 3 blue and 5 red marbles, with one draw already taken, we calculate the probability of not drawing a red marble and subtract that from 1. Since there are more red than blue marbles, the probability of drawing a red one on the first draw is higher. However, the problem states that the marbles are not replaced after drawing, so the probabilities change with every draw.
There are two ways to not draw a red marble in two draws:
First draw: blue, Second draw: blue.
First draw: red, Second draw: blue.
Let's calculate these probabilities. For the first case, there's a 3/8 chance of drawing blue first, and then 2/7 chance of drawing blue again, since one blue marble has been removed, which equals to 3/8 * 2/7 = 6/56 or 3/28. For the second case, there is a 5/8 chance of drawing red first, and then a 3/7 chance of drawing blue, equalling 5/8 * 3/7 = 15/56. The sum of these probabilities is 3/28 + 15/56 = 9/28.
Therefore, to find the probability of at least one red, we subtract the summed probabilities from 1: 1 - 9/28 = 19/28.
Thus, the probability of drawing at least one red marble is 19/28.
Trey is putting up fence around a 750 foot by 540 foot lot. How many feet of fence does he need?
Answer:
2580 feet
Step-by-step explanation:
The question is essentially asking for the perimeter.
Considering the lot is a parallelogram at the least, it would be (750+540)*2, or 1290*2, or 2580
What is the difference between joint, marginal, and conditional relative frequencies?
Answer:
The middle cells are the joint frequency numbers. When analyzing data in a two-way frequency table, you will be looking for joint relative frequency, which is the ratio of the frequency in a particular category and the total number of data values. The purple cells on this table are all joint frequency numbers.
The numbers in the column on the very right and on the row on the very bottom are the marginal frequency numbers. When analyzing data in a two-way frequency table, you will be looking for marginal relative frequency, which is the ratio of the sum of the joint relative frequency in a row or column and the total number of data values.
Conditional relative frequency numbers are the ratio of a joint relative frequency and related marginal relative frequency.
Step-by-step explanation:
To solve the trigonometric inequality sin?(x) -0.85, Carl graphed the equations y=sin(x) and y=-0.85. Shelly, on the other
hand, took the cube root of both sides of the inequality so that it became sin(x) = -0.85, and she then graphed the equations
y = sin(x) and y -0.85. Which of the following statements is true regarding the points of intersection of Carl's graph and
Shelly's graph?
A The points of intersection of Carl's graph have different x-coordinates than the points of intersection of Shelly's graph and
different y-coordinates.
B The points of intersection of Carl's graph have different x-coordinates than the points of intersection of Shelly's graph but the
same y-coordinates.
C The points of intersection of Carl's graph have the same x-coordinates as the points of intersection of Shelly's graph but
different y-coordinates.
D The points of intersection of Carl's graph have the same x-coordinates as the points of intersection of Shelly's graph and the
same y-coordinates.
Answer: C
Step-by-step explanation:
The points of intersection of Carl’s graph have the same x-coordinates as the points of intersection of Shelly’s graph but different y-coordinates.
Trigonometric expressions can be represented using inequalities
The true statement is (c) the points of intersection of Carl’s graph have the same x-coordinates as the points of intersection of Shelly’s graph but different y-coordinates.
The inequality is given as:
[tex]\mathbf{sin^3(x) < -0.85}[/tex]
The steps Carl took will give the following coordinates (x, y^3)
The steps Shelly took will give the following coordinates (x, y)
This means that, their results will have the same x-coordinates but different y-coordinates.
Hence, the true option is (c)
Read more about trigonometry at:
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Multiply the equation (-6)(-5).
Answer:
30
Step-by-step explanation:
Whrn two negative numbers multiplied or divided the result will be positive
(-6)×(-5) = +30
Identify the greatest rommon factor:
3x²y - 6xy2
Answer:
If you're looking to simplify, the greatest common factor should be 3xy.
Ajar contains "x" black and "y" white balls. What is the probability that a random draw is black?
ху
x/x + y)
ylx
NEXT QUESTION
©
ASK FOR HELP
TURN IT LE
Answer:
Step-by-step explanation:
favorable events=x
total number of events=x+y
P=(favorable events)/(total number of events)=x/(x+y)
what is the surface area of a right rectangular prism with a width of 12 inches, a length of 6 inches, and a height of 8 inches?
a) 144 in2
b) 288 in2
c) 432 in2
d) 576 in2
Work out the value of x.
Need answer soon :)
Answer:
x+20
Step-by-step explanation:
As we can see n the diagram, there are parallel traversals and one line, and the two angles given are same-side interior angles. We know that when there is parallel traversal, and we have same side interiors, the sum of the measure of the two angles are supplementary. Supplementary means 180 degrees, or a straight line.
So we plug everything in and we have 4x+5x=180 degrees
4x+5x=9x, so 9x=180
We divide by 9 on both sides to get the value of x, which is 20
Hope it helps!
The graph of an ellipse is shown.
Which equation represents this ellipse?PLEASE HELP IF RIGHT MARK BRAINIEST
Answer:
D. (y-4)^2/12^2 + (x-2)^2/6^2=1
Step-by-step explanation:
Took the quiz.
Answer:
d
Step-by-step explanation:
Double time pay is twice the regular time pay rate. If Rita, a nurse, earns $24 per hour for her regular pay rate and she is paid double-time for a holiday, what would the equation look like if Rita worked 36 regular hours plus 8 hours holiday?
Answer:24r+48h= $1248
Step-by-step explanation:
24*36+48*8
864 + 384 = 1248
Not sure if it's correct I'm not brilliant with equations xx
Answer:
Correct
24(36) + 24(2) x 8 =
Step-by-step explanation:
Assume that y varies inversely with x. If y= 16 when x = 0.5, find y when x = 32.
y=[ ? ]
The constant of variation k for the inverse variation is found to be 8. When x = 32 is substituted into the formula y * x = k, we find that y = 0.25.
Explanation:In problems where y varies inversely with x, it means that their product is constant. This can be represented as y * x = k, where k is the constant of variation. Given that y = 16 when x = 0.5, we can find the constant by plugging these values into the formula. Hence, 16 * 0.5 = k, so k = 8.
Now to find y when x = 32, we substitute these values into the formula. We know that y * 32 = 8, so y = 8 / 32. This simplifies to y = 0.25.
Learn more about Inverse Variation here:https://brainly.com/question/26149612
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Given ΔSTU and ΔDEF, what is m∠U ?
In this context:
[tex]\boxed{m\angle U=40^{\circ}}[/tex]
Explanation:Hello! Remember you have to write complete questions in order to get good and exact answers. Here you haven't provided any diagram, so I'll assume ΔSTU and ΔDEF are similar. Two triangles are similar if and only if their corresponding angles are congruent and their corresponding sides are in proportion.
So:
[tex]\angle S=\angle D \ldots eq1 \\ \\ \angle T=\angle E \ldots eq2 \\ \\ \angle U=\angle F \ldots eq3[/tex]
We also know:
[tex]\angle S+\angle T+\angle U=180^{\circ} \ldots eq4 \\ \\ \angle D+\angle E+\angle F=180^{\circ} \ldots eq5[/tex]
Suppose we know:
[tex]\angle S=30^{\circ} \\ \\ \angle E=110^{\circ}[/tex]
Then, by eq2:
[tex]\angle T=\angle E =110^{\circ}[/tex]
By substituting ∠S and ∠T into eq4:
[tex]\angle S+\angle T+\angle U=180^{\circ} \\ \\ 30^{\circ}+110^{\circ}+\angle U=180^{\circ} \\ \\ \\ Isolating \ \angle U: \\ \\ \angle U=180^{\circ}-(30^{\circ}+110^{\circ}) \\ \\ \angle U=180^{\circ}-140^{\circ} \\ \\ \angle U=40^{\circ}[/tex]
Finally:
[tex]\boxed{m\angle U=40^{\circ}}[/tex]
If two pyramids have the same height, what must be true of the pyramids for them to also have the same volume?
The pyramids must have the same base shape.
The pyramids must have the same slant height.
The areas of the bases must be the same.
The pyramids must be identical in size and shape.
Answer:
areas of bases must be same as Vol=area of base×h/3
Answer:
The areas of the bases must be the same. yw
Step-by-step explanation:
Gabriel wants to send a parcel to Italy.
His parcel is a cuboid with dimensions 10 cm, 20cm and 40 cm.
He looks at the prices of two companies,
We Deliver and GoParcels.
Not drawn
to scale
We Deliver
Total cost: Sum, in cm, of the 3 dimensions * £0.80 Find the cost or sending th
parcel with each company.
GoParcels
Give each of your answers
Total cost: Total area, in cm, of all 6 faces x £0.02 pounds (2).
The answer: both £56
Answer: Both £56
Step-by-step explanation:
We deliver: 10 x 20 x 40 = 8000
8000 x 0.80/cm = £56
£56
Go Parcels: 2(10 x 20) + 2(10 x 40) + 2(20 x 40) = 2800
2800 x 0.02/cm = £56
£56
15x+3(10−6x)
HELP HELP
Answer:
-3x+30
Step-by-step explanation:
Answer:
15x+3(10-6x)=15x+30-18x=15x-18x+30=-3x+30
Answer: 15x+3(10-6x)= -3x-30
Step-by-step explanati+n:
Hi, I need some help with this question about the circumference of a circle. Help would be greatly appreciated :)
Answer:
C = 18.84 ft
Step-by-step explanation:
C = 2 * pi *r
The radius is 3 ft
C = 2 * 3.14 * 3
C = 18.84
Express 22,575 square millimeters as square meters
Answer:
0.02257500m²
Step-by-step explanation:
Write an equation that models this situation. A copier that makes 34 copies per minute runs for 12 minutes. How many copies (x) are made during that time?
Answer:
x = 34t
408
Step-by-step explanation:
x = 34t
x: no. of copies
t: minutes
x = 34(12)
x = 408
Answer:
x
34
= 12
x = total number of copies
total number of copies
copies per minute
= number of minutes copier runs
B ) x / 34 = 12 is correct
Consider the expression 10 to the 3rd power time 0.006.
What is the exponent in the power of 10?
10^3 x 0.006
Answer: 3
PLEASE HELP WITH MY KHAN HOMEWORK BECAUSE IT’S DUE MONDAY!
Answer:
7/12 + 2/3q
Step-by-step explanation:
combining like terms
11/12 - 1/3 =
7/12
-1/6q + 5/6q = 4/6q which is also 2/3q
Randy buys a pair of shoes that were originally
priced at $147. He receives a 35% discount and
pays 8.5% sales tax. How much does Randy pay?
What is the length of the paintbrush in centimeters?
A.0.101 cm
B.10,100 cm
C.1,010 cm
D.10.1 cm
Answer:
D
Step-by-step explanation:
The length of the paintbrush in centimeters is D. 10.1 cm.
What is Unit Conversion?Unit conversion is defined as expressing the same quantity by different measurement units.
For example, a distance of 20 meter can be also expressed as 2000 cm. The distance is same.
Given that,
Length of the paintbrush in millimeters = 101 millimeters
We have to find the length of the same paintbrush in centimeters.
We have the unit conversion,
1 centimeter = 10 millimeters
So,
1 millimeter = 1/10 = 0.1 centimeters
So, we have to multiply the measurement in millimeter with 0.1.
101 millimeters = 101 × 0.1 = 10.1 centimeters
Hence the length is 10.1 centimeters
Learn more about Unit Conversion here :
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What is the length of the paintbrush in centimeters?
A paintbrush is one hundred one millimeters long.
A. 0.101 cm
B. 10,100 cm
C. 1,010 cm
D. 10.1 cm
Can someone pls help w both of them for 20 pts
can a triangle have to acute angles and one obtuse angle
Answer:
yes
Step-by-step explanation:
Any obtuse triangle will also have two acute angles.
__
The sum of angles in a triangle is 180°. If one of the angles is 90° or more (a right or obtuse angle), the other two (non-zero) angles must be less than 90°.
An obtuse triangle is one that has an obtuse angle, so both of the remaining angles must be less than 90°, that is, they must be acute angles.
Answer:
Yes
Step-by-step explanation:
Example:
A triangle with angles: 100°, 50°, 30°
TV emporium had a huge sale in the morning 5/12 of the flat screens were sold in the afternoon 1/3 of the flat screens were sold how many TV's were sold altogether
Answer:9/12
Step-by-step explanation:
1/3 is the same as 4/12
4/12 +5/12=9/12
Jim’s family is choosing whether to go to a restaurant for lunch or for dinner. The cost of a salad is $7 at lunch and $9 at dinner. The cost of a steak is $10 at lunch and $12 at dinner. Each person will choose either a salad or a steak regardless of the mealtime. Jim calculates the food bill to be $41 if they go during lunch and $51 if they go during dinner. How many people will choose a salad?
2
3
4
5
Answer:
To answer the problem above we let x be the number of people who prefers salad and y be the number of people who chose steak. For lunch they will be spending $41. That is,
7x + 10y = 41
Now, for dinner they will be spending $51. That is,
9x + 12y = 51
The values of x and y from both equations are 3 and 2, respectively. Therefore, 3 people will choose a salad
Answer:
3
Step-by-step explanation:
:) It's 3.
Ryan went into town and bought some chicken feed that would last for the next 60 days. If he buys two 50 lbs bags for 5 chickens, how much does each chicken eat a day.
Answer:
3 pounds
Step-by-step explanation:
1. 50 + 50 = 100
2. 100 / 5 = 20
3. 60 / 20 = 3
Each chicken eats approximately 0.3333 pounds of feed per day, which is calculated by dividing the total feed (100 lbs) by the number of days (60) and then by the number of chickens (5).
To calculate how much chicken feed each chicken eats a day, we need to start by understanding the total amount of feed Ryan bought. He bought two 50 lbs bags, which is a total of 100 lbs of chicken feed. Since the feed needs to last 60 days for 5 chickens, we will divide the total feed by the number of days and then by the number of chickens.
First, we convert the weight of the feed into pounds (if it is not already in pounds). We know there are 100 lbs of feed in total.
Next, we divide the total weight of the feed by the number of days to find out how much feed is used per day:
100 lbs / 60 days = 1.6667 lbs per day (for all 5 chickens together).
Finally, we divide the daily feed consumption by the number of chickens to find out how much each chicken eats per day:
1.6667 lbs per day / 5 chickens = 0.3333 lbs per chicken per day.
Therefore, each chicken eats approximately 0.3333 pounds of feed a day.
Why must Kyle's and Tynessa's pattern rules be the same, even though their algebraic expressions look different?
Kyles algebraic expression based on his coloring
f(n)=2+2(n+1)
Tynessa's algebraic expression based on his coloring
4+2n
Not question a) tho
Answer:
they equally colored in the same amount of squares although the colores were different meaning their expressions were the same although they looked different, both kyle and Tynessa got the same expression but they were written in a different way
Step-by-step explanation:
A delivery company pays its drivers a fixed fee for each delivery made that day. The company deducts a daily fee for the use of the company's delivery truck. The drivers net pay in dollars, p, for one day is given by the equation p = 11d − 55, where d is the number of delivers made in one day. What does the number 11 most likely represent?
Answer:
11 must be the fee for each delivery made
Step-by-step explanation:
p = 11d − 55
The y deduct the daily fee
deduct means subtract which means the daily fee is 55
d is the number of deliveries in one day
delivery company pays its drivers a fixed fee for each delivery made
Since d is the number of delivers, 11 must be the fee for each delivery made
Answer:
fee paid per delivery
Step-by-step explanation: