Answers
Related Questions
20 POINTS AND A FOLLOW plus BRAINIEST IF RIGHT 1. What is the area of sector GHJ, given that 0=pi/4 radians ? Express your answer in terms of pi and as a decimal rounded to the nearest tenth. Show your work.
2. Construct the circle that circumscribes triangle DEF . Use a straightedge and a compass.
(show work by step)
Answers
where
[tex]A[/tex] is the area of the sector
[tex]r[/tex] is the radius of the circle
[tex] \alpha [/tex] is the angle in radians
We know from our problem that the radius of the circle is 5 cm and the angle of the sector is [tex] \frac{ \pi }{4} [/tex], so [tex]r=[/tex] and [tex] \alpha = \frac{ \pi }{4} [/tex]. Lets replace those values in our formula:
[tex]A= \frac{1}{2} r^2 \alpha [/tex]
[tex]A= \frac{1}{2} (5)^2( \frac{ \pi }{4} )[/tex]
[tex]A= \frac{25 \pi }{8} [/tex]
[tex]A=9.8[/tex]
We can conclude that the area of sector GHJ in terms of pi is [tex] \frac{25 \pi }{8}[/tex] [tex]cm^2[/tex], and as a decimal rounded to the nearest tenth is 9.8 [tex]cm^2[/tex].
2. To construct the circle that circumscribes triangle DEF, we are going to draw the perpendicular bisectors of triangle DEF, and then we are going to draw the circle with radius at the interception point of the bisectors. Remember that the perpendicular bisector are the lines that passes trough the midpoint of the segment and are perpendicular to the segment.
Paula caught a tarpon with a weight that was 11 times as great as the weight of a permit fish she caught. The total weight of the two fish was 180 pounds. How much did each fish weigh?
Answers
[tex]11 + 1 = 12 \\ 180 \div 12 = 15 \\ 15 \times 1 = 15 \\ 15 \times 11 = 165[/tex]
Tarpon=165
Permit=15
The weight of the permit fish will be 15 pounds and the weight of tarpon will be 165 pounds
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Assume that the weight of the permit fish is x pounds.
Then the weight of the tarpon would be 11x pounds.
According to the question, we can write equation as -
x + 11x = 180
12x = 180
x = 15
Weight of permit fish = 15 pounds
Weight of tarpon = 11 x 15 = 165 pounds
Therefore, the weight of the permit fish will be 15 pounds and the weight of tarpon will be 165 pounds.
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Solve 4x - 2= 86
thanks
Answers
+2 +2 (-2 and +2 cancel each other out)
_______
4x=88 ( divide 4 on both sides)
x=22
4x-2=86
+2 +2
_______
4x=88
4x/4=x
88/4=22
A test has multiple choice questions with 5 choices for each answer; only one answer is correct for each question. Suppose a student guesses the answer to each question. Assuming the guesses are independent, find the probability that the student will not guess correctly on any one question.
a. 0
b. 1/5
c. 4/5
Answers
Number of wrong answers = 4
P(wrong answer) = 4/5
Answer: 4/5
The value of the probability that the student will not guess correctly on any one question is,
⇒ 4 / 5
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that;
A test has multiple choice questions with 5 choices for each answer; only one answer is correct for each question.
Now, Suppose a student guesses the answer to each question.
Hence, we get;
The value of the probability that the student will not guess correctly on any one question is,
⇒ 4 / 5
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An empty box weighs 200g the box is filled with birthday party goozy bags and now weighs 6.2kg Each goody bag weighs 150Work out how many goody bags are inside the box
Answers
We have then:
x: number of birthday party goozy bags
y: total weight
We then have the following equation:
y = 150x + 200
For y = 6200 we have:
6200 = 150x + 200
Clearing x:
x = (6200-200) / (150)
x = 40
Answer:
there are 40 goody bags inside the box
Answer:
40
Step-by-step explanation:
The sum of the square of a positive number and the square of 44 more than the number is 250250. what is the number?
Answers
p²+44²>250250
p²>250250-44²
p²>248314
take the square root of both sides:
√p²>+√248314
p> 498.3 or 500 is the number
Find area of trapezoid using the Pythagorean theorem
Answers
Finding the height:
We need to look at the equation for find the diagonal of a triangle.
a²+b²=c²
We don't have leg one, but we have leg two. If we subtract the longer base by the shorter base, we have leg two.
11-7=4
a²+4²=5²
a²+16=25; let's subtract 16 from both sides.
a²=9
a=3
So, the height is 3.
Finding the area of the trapzoid:
Let's look at the formula for finding the area.
(b1+b2)(h÷2)=A; let's fill the variables in.
(7+11)(3÷2)=A
(18)(1.5)=A
27=A
So, the area of the trapezoid is 27 in²
a speed camera takes two photographs of a car
Answers
First you have to count how many tallies the car went 9 tallies
Multiply the amount of tallies by how far they represent
9 * 0.8 = 7.2 meters
The car when 7.2 meters in half a second so we double this to get how fast it was going a second
7.2 * 2 = 14.4
The answer is 14.4 m/s
Hope this helps!
Answer:The answer is 14.4 m/s
Step-by-step explanation:
If i = sqrt -1 what is the value of i3
A. -1
B. i
C. 1
D. -i
Answers
Its D
Answer:
The value of i3 is equal to D. -i
Step-by-step explanation:
We can find the answer by taking the definition of i :
i = sqrt(-1) (1)
i ^2 = (sqrt(-1)) ^2 = -1 (2) because square root and squaring are inverse operations
so from (2)
i ^3= i ^2* i = -1*i = -i
So -i is the final answer or – (sqrt(-1)) which is the same
Assuming that one-pint is equal to 473 ml., how many pints can be found in one liter?
Answers
1 pint is equal to --------> 473 ml
1 liter is equal to--------> 1000 ml
so
1 pint is equal to --------> 473 ml
x pints------------------> 1000 ml
x=1000/473-----> 2.11 pints
the answer is
2.11 pints can be found in one liter
1 pint -------> 473 ml
x -------------> 1000 ml
Clearing x we have:
x = (1000/473) * (1)
x = 2.114164905
Rounding off we have:
x = 2
Answer:
can be found 2 pints in one liter
5. A high school has 16 math teachers for 1856 math students. What is the ratio of math teachers to math students?
Answers
The ratios are calculated to know the quotient of two quantities. In order to find the ratio, the first quantity is written in numerator i.e. the upper part of the fraction and the second quantity is written in denominator i.e. the lower part of the fraction.
Here, it is given that the total number of Maths teachers are = 16
Total number of Maths students are = 1856
The ratio of Maths teachers to Maths students is calulated as -
Ratio of Maths teachers to Maths students = [tex] \frac{Maths Teachers}{Maths Students} [/tex] = [tex] \frac{16}{1856} [/tex]
Ratio of Maths teachers to Maths students = [tex] \frac{1}{116} [/tex] = 1:116
In the year 2000, there were 200,000 cell phone subscribers in a city in New York. The number of subscribers increased by 60 percent per year after 2000. Which equation can be used to model the number of subscribers, y, in the city t years after 2000?
A) y=200,000(1+60)t
B) y=200,000(1+0.6)t
C) y=200,000(1-60)t
D) y=200,000(1-0.6)t
Answers
If the subscribers increase by 60%, it means that the subscribers will be (100+60)% of the previous year.
(100+60)% = (100/100 + 60/100)
(1 + 0.6)
After 2,000, the subscribers will be 200,000×(1+0.6).
For the following years the 200,000×(1+0.6)t
So, the value of y will be given by,
Y=200,000(1+0.6)t
Answer: The answer is B
Step-by-step explanation:
A painter places an 8.5 ft ladder against a wall. the bottom of the ladder is 4 ft from the base of the wall. how high up the wall does the ladder reach?
Answers
a² + b² = c²
4² + b² = 8.5²
16 + b² = 72.25
b² = 56.25
b = 7.5
The ladder reaches a height of 7.5 ft on the wall
ANOTHER FILL IN THE BLANKS QUESTION, MARKING BRAINLIEST FOR CORRECT ANSWER
Answers
First blank: multiplication property of equality
Both sides of the equation were multiplied by (1/2).
Second blank: m<E
Angle E is an inscribed angle intercepting arc FGD, so by the inscribed angle theorem, its measure is half the measure of the arc.
Third blank: m<G
Same explanation as the prior blank
Fourth blank: substitution property of equality
Since angle E is equal to half the measure of arc FGD, we can replace that term. Likewise with angle G.
A vegetable store sold 3 tons of vegetables less on the first day than on the second, and on the third day it sold 5/9 of the amount sold in the first two days. How many vegetables was the store selling every day if it sold altogether 98 tons of vegetables for the three days?
Answers
x---------> quantity (ton) of vegetables sold the first day
y---------> quantity (ton) of vegetables sold the second day
z---------> quantity (ton) of vegetables sold the third day
we know that
x=y-3---------> equation 1
z=(5/9)*(x+y)------> equation 2
x+y+z=98-----> equation 3
substitute equation 2 in equation 3
x+y+[(5/9)*(x+y)]=98----> multiply by 9----> 9x+9y+5x+5y=882
14x+14y=882-----> equation 4
to resolve the equations system formed by
x=y-3
14x+14y=882
using a graph tool
see the attached figure
the solution is
x=30
y=33
x+y+z=98----> z=98-(x+y)----> z=98-63---> 35
the answer is
vegetables sold the first day----> 30 ton
vegetables sold the second day----> 33 ton
vegetables sold the third day------> 35 ton
amount sold on first day = 30 tons
amount sold on second day = 33 tons
amount sold in third day = 35 tons
Explanation:
Assume that the amount of vegetables sold on the second day is x.
We are given that:
Amount of vegetables sold on the first day is 3 tons less that sold on the second day.
This means that:
amount sold on first day = x - 3
Amount of vegetables sold on the third day is 5/9 the amount sold on the first two days.
This means that:
amount sold on third day = (5/9) (x + x - 3)
amount sold on third day = [tex] \frac{10}{9} x - \frac{5}{3} [/tex]
Now, we know that:
Total amount sold is 98 tons.
This means that:
98 = x - 3 + x + [tex] \frac{10}{9} x - \frac{5}{3} [/tex]
Now, we will solve for x as follows:
98 = [tex] \frac{28}{9} x - \frac{14}{3} [/tex]
882 = 28x - 42
882 + 42 = 28x
924 = 28x
x = 924/28
x = 33 tons
This means that:
amount sold on first day = x - 3 = 33 - 3 = 30 tons
amount sold on second day = x = 33 tons
amount sold on third day = [tex] \frac{10}{9} x - \frac{5}{3} [/tex] = [tex] \frac{10}{9} (33) - \frac{5}{3} [/tex] = 35 tons
Hope this helps :)
What’s the quadratic expression for this one
Answers
(2x + 5) * (7-4x)
Rewriting we have:
14x - 8x ^ 2 + 35 - 20x
Grouping terms with the same exponent:
-8x ^ 2 + x (14-20) + 35
Rewriting:
-8x ^ 2 - 6x + 35
Answer:
the quadratic expression for this is:
-8x ^ 2 - 6x + 35
Rearrange the formula m =
x + y / 2
for y.
A) y = 2mx
B) y = 2m - x
C) y = x - 2m
D) y = 2m + x
Answers
m = (x + y) / 2
x+y=2*m
y=2*m-x
the answer is the option
B) y = 2m - x
y=2m-x
cross multiply then subtract x
hope this helps love
Eric plans to rent a car for a day from Easy Car Rental. He has a coupon for 25% off the daily base rate of $40. He will also have to pay an additional $0.15 for each mile he drives. Which expression represents the situation?
Answers
Base rate: 40 - (40 · 0.25) plus mileage: 0.15 · x
Total cost = 30 + 0.15x
Jacob is cutting a tile in the shape of a parallelogram. Two opposite angles have measures of (6n − 70)° and (2n + 10)°. What are the two different angle measures of the parallelogram-shaped tile? 20° and 160° 50° and 130° 30° and 150° 70° and 110°
URGENT
Answers
Answer:
Step-by-step explanation:Jacob is cutting a tile in the shape of a parallelogram. Two opposite angles have measures of (6n − 70)° and (2n + 10)°.
Answer : 50° and 130°
To find the angle measures of the parallelogram, we set the expressions for opposite angles equal to each other, solve for 'n', and then determine the angle measures, which are 50° and 130° respectively.
Explanation:The students wants to find the two different angle measures of a parallelogram-shaped tile where two opposite angles are given by the equations (6n − 70)° and (2n + 10)°. Since opposite angles in a parallelogram are equal, we can set these two expressions equal to each other to find the value of 'n':
6n − 70 = 2n + 10
Solving for 'n', we get:
4n = 80
n = 20
Now, we'll plug the value of 'n' back into the expressions to get the angle measures:
6n − 70 = 6(20) − 70 = 120 − 70 = 50°
2n + 10 = 2(20) + 10 = 40 + 10 = 50°
Since opposite angles are equal in a parallelogram, the other two angles must also add up to 180°. Therefore, the other two angles are 180° - 50° = 130°. The angles of the parallelogram are 50° and 130°.
Find the surface area of the following triangular prism
Answers
The surface area of the triangular prism is 144 ft³
How to find the surface area
The surface area of the prism is solved using the formula
= 2 * area of the base + Lateral surface area
Area of the base
= 2 * 1/2 * 6 * 8
= 48
Lateral surface area
= (10 + 6 + 8) * 4
= 24 * 4
= 96
Total surface area
= 48 + 96
= 144 ft³
Kym spends an average of $78 per week on groceries. She can save 10% of her total grocery bill by joining the store's free shopper's club.About how much money will Kym save in a year (52 weeks) if she joins the shopper's club
Answers
(amount saved per week)×(number of weeks)
amount saved per week:
10/100×78
=$7.8
The total amount saved for 52 weeks will be:
52×7.8
=405.6
What is the equation, in slope-intercept form, of the line that passes through (0, 3) and has a slope of −6?
y = 3x + 6
y = 3x − 6
y = −6x − 3
y = −6x + 3
Answers
Answer:
y=-6x+3
Step-by-step explanation:
Using the formula,
[tex](y-y_{1})=m(x-x_{1})\\(y-3)=(-6)(x-0)\\y-3=-6x\\y=-6x+3[/tex]
Simplify the expression 9xy + 6xy − 2xy. What is the coefficient of the simplified expression?
Answers
To find our answer we need to collect the terms of the expression.
[tex]9xy + 6xy - 2xy = \\ 15xy - 2xy = \\ 13xy[/tex]
The coefficient (which is the number just before the variable) of the simplified expression is 13.
13xy is the answer. THey are all like terms so just add then subtract.
A bag contains 12 red marbles and 6 blue marbles. two marbles are drawn with replacement. find the probability.
Answers
A five question multiple choice quiz has five choices for each answer. Use the random number table provided, with 0’s representing incorrect answers, and 1’s representing correct answers to answer the following question: What is the experimental probability of correctly guessing at random exactly two correct answers?
Answers
a. 5%
b. 65%
c. 45%
d. 25%
The answer is Letter D - 25%. Use the table and count the number of guesses that has two correct answers represented by 1. 01010, 10001, 11000, 01001, 00011 = a total of 5 numbers having 2 correct guesses out of 20 questions. Which means that there's twenty-five percent possibility of correctly guessing the answer out of 20 questions. 5/20 = 25%
Probability of correctly guessing at random exactly two correct answers is; 25%
How to find the experimental probability?
The table is missing but from the table shared by the first answer, we can count the number of guesses that has two correct answers.
Now, the ones that have two number of 1's are referred to as correct answers. Thus, counting them in the question, they are;01010, 10001, 11000, 01001, 00011.
Thus, there are 5 posssible correct answers out of 20. Thus;
Probability of correctly guessing at random exactly two correct answers is; 5/20 = 25%
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If an egg is thrown up and off the roof of a 100 foot building with an initial upward velocity of 10 feet per second, how long until it hits the ground?
Answers
h (t) = - 16t ^ 2 + 10t + 100
By the time the egg hits the ground we have:
-16t ^ 2 + 10t + 100 = 0
We look for the roots of the polynomial:
t1 = -2.2069555463432966
t2 = 2.8319555463432966
As it is about time, we use the positive root:
t = 2.83 s
Answer:
it hits the ground at:
t = 2.83 s
Please give an explanation with you answer, thank you :)
Answers
Here 2 on left most side is the coefficient, 2x is the exponent and the of the function is cube root of 27.
So,
[tex]Base= \sqrt[3]{27} \\ \\ Base= \sqrt[3]{3^{3} } \\ \\ Base=3 [/tex]
Thus, the simplified base for the function is 3. So correct answer is option B
x/3+6=9
what does x equal
x=___?
Answers
9514 1404 393
Answer:
9
Step-by-step explanation:
x/3 +6 = 9 . . . . . given
x/3 = 3 . . . . . . . subtract 6 from both sides
x = 9 . . . . . . . multiply both sides by 3
Now we have to,
find the required value of x.
→ x/3 + 6 = 9
→ x/3 = 9 - 6
→ x/3 = 3
→ x = 3 × 3
→ [x = 9]
Hence, 9 is the value of x.
Karen makes $5 per hour baby-sitting and $12 per hour giving music lessons. one weekend, she worked a total of 18 hours and made $139. how many hours did she spend baby-sitting?
Answers
Let the number of hours she spent in baby- sitting is x
and the number of hours she spent in music lessons is y.
Now, we have been given that she worked a total of 18 hours. Hence, we have
[tex]x+y=18\\ y=18-x...............................(1)[/tex]
And she made $139. Thus, we have
[tex]5x+12y=139..............................(2)[/tex]
Substituting the value of y from equation 1 in 2, we get
[tex]5x+12(18-x)=139\\ 5x+216-12x=139\\ -7x=-77\\ x=11[/tex]
Therefore, she spent 11 hours in baby-sitting.
Karen spent 11 hours baby-sitting and 7 hours giving music lessons.
Explanation:Let x be the number of hours spent baby-sitting, and let y be the number of hours spent giving music lessons.
We are given the following information:
Karen makes $5 per hour baby-sitting, so she earned 5x dollars from baby-sitting.
Karen makes $12 per hour giving music lessons, so she earned 12y dollars from giving music lessons.
She worked a total of 18 hours, so x + y = 18.
She made a total of $139, so 5x + 12y = 139.
We can now set up a system of equations:
x + y = 18
5x + 12y = 139
To solve this system, we can use substitution or elimination method. Let's use the elimination method:
Multiply the first equation by 5 to make the coefficients of x the same: 5x + 5y = 90.
Subtract this new equation from the second equation: (5x + 12y) - (5x + 5y) = 139 - 90.
Simplify both sides of the equation: 7y = 49.
Divide both sides of the equation by 7: y = 7.
Substitute y = 7 into the first equation: x + 7 = 18.
Solve for x: x = 11.
Therefore, Karen spent 11 hours baby-sitting and 7 hours giving music lessons.
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A map is drawn using a scale of 80 mi to 1 cm. On the map , the two cities are 7.5 cm apart. What is the actual distance between the two cities ??
Answers
scale =measure in the map/measure in the actual
measure in the actual=measure in the map/scale
scale=1 cm/ 80 mi
for
measure in the map=7.5 cm
measure in the actual=?
measure in the actual=7.5 /(1/80)-----> 7.5*80-----> 600 mi
the answer is
the actual distance between the two cities is 600 miles