The degree measure of the angles are;
1. 5π/3 = 300°
2 3π/4 = 135°
3. 5π/6 = 150°
4. -3π/2 = 90°
What is degree and radian?A degree is a unit of measurement which is used to measure circles, spheres, and angles while a radian is also a unit of measurement which is used to measure angles.
A circle has 360 degrees which are its full area while its radian is only half of it which is 180 degrees or one pi radian.
therefore π = 180°
1. 5π/ 3 = 5×180/3 = 300°
2. 3π/4 = 3× 180/4 = 540/4 = 135°
3. 5π/6 = 5×180/6 = 150°
4. - 3π/2 = -3 × 180/2 = -270° = 90°
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Use the spinner to find the theoretical probability of the event. Write your answer as a fraction or a percent rounded to the nearest tenth.
The theoretical probability of spinning red is given as follows:
1/3.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
For the spinner in this problem, 2 out of 6 regions are red, hence the theoretical probability is given as follows:
2/6 = 1/3.
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15)
136⁰
2
S
?
R
Find the measure of the arc or angle indicated
Answer:
224
Step-by-step explanation:
360.-136.
9. If the perimeter of an isosceles triangle is 83 cm. and its base is 23 cm. Find the measure of its equal sides.
10. The perimeter of a rhombus is 5.6 cm. Find its side.
11. The perimeter of a rectangle is equal to that of a square with side 17 m. If the length of the
rectangle is 26 m. What is its breadth ?
12. What is the cost of fencing a rectangular field of length 16 m and breadth 11 m at the rate of 12 per m.
Please solve all questions..step by step.
9.
Q:-If the perimeter of an isosceles triangle is 83 cm. and its base is 23 cm. Find the measure of its equal sides.
Answer:- As we know that Perimeter is the sum of all sides.
Let the both side be x83 = 23 + (x + x)83 - 23 = 2x60 = 2x30 = xOther two sides are 30 cm.
10.The perimeter of a rhombus is 5.6 cm. Find its side.
Answer:- As we know that
Side of Rhombus = Perimeter/4
Side = 5.6/4Side = 1.4 cmSide is 1.4 cm11.The perimeter of a rectangle is equal to that of a square with side 17 m. If the length of the
The perimeter of a rectangle is equal to that of a square with side 17 m. If the length of therectangle is 26 m. What is its breadth ?
Answer:- Perimeter of square = 4 × s
Perimeter = 4 × 17Perimeter = 68 cmNow,
Perimeter of rectangle = 2(l + b)68 = 2(26 + b)68/2 = 26 + b34 = 26 + b34 - 26 = b8 = bb=812.What is the cost of fencing a rectangular field of length 16 m and breadth 11 m at the rate of 12 per m.
Answer:- Perimeter = 2(l + b)
Perimeter = 2(16 + 11)Perimeter = 2(27)Perimeter = 54 cmNow,
Total cost = 54 × 12Total cost = ₹648.\(\begin{gathered} \\ \end{gathered}\)
What is the y-intercept of y = 3x-
2?
Answer:
-2
Step-by-step explanation:
y = mx + b
y = 3x - 2
y-intercept = b
A truck is carrying 3 tons of cement and 150 pounds of bricks. How many pounds does the truck's load weigh in total?
Hi there !
Question :A truck is carrying 3 tons of cement and 150 pounds of bricks. How many pounds does the truck's load weigh in total?
Solution :3 tons + 150 pounds = ... pounds
We know 1 kg = 2 pounds
1 tons = 1.000 × 2 pounds
1 tons = 2.000 pounds
Truck is carrying 3 tons of cement
3 × 2.000 pounds
6.000 pounds
Ads up 6.000 pounds to 150 pounds
6.000 pounds + 150 pounds
6.150 pounds
Answer :Total truck's load is 6.150 pounds
___________________________
You invest $300 in an account that has a annual interest rate of 6%, compounded quarterly for four years. What is the equivalent interest rate, and how many times will the money be compounded?
1.5% and 1 Time
1.5% and 16 times
6.7% and 16 times
6.7% and 4 times
Please help
Answer: 1.5% and 16 times
Step-by-step explanation:
a) The equivalent interest rate = 1.5 %
b) The number of times the interest is compounded is n = 16 times
What is Compound Interest?Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.
The formula for calculating Compound Interest is
A = P ( 1 + r/n )ⁿᵇ
where A = Final Amount
P = Principal
r = rate of interest
n = number of times interest is applied
b = number of time periods elapsed
Given data ,
Let the compound interest amount be represented as A
Now , the interest rate r = 6 %
The number of times the interest is applied = quarterly
The principal amount P = $ 300
So , the equivalent interest rate r = 6 / 4 = 1.5 %
Now , the number of times the interest is compounded is n = 4 x 4 = 16 times
Hence , the compound interest is calculated
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The instructor noted the following scores on the last quiz of the semester for 8 students. Find the range of this data set 59,61,83,67,81,80,81,100
answer: the range is 41.
to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.
then we subtract the minimum from the maximum.
59 - 100 = 41.
sarah buys a pair of shoes for $25 plus 8% tax. Hilary buys a shirt for $30mplus an 8% tax. What is the difference in the amount sarah and hillary paid, including tax?
Answer:
5.4
sarah = 27
Hilary = 32.4
Step-by-step explanation:
25(.08)+25=27
30(.08)+30= 32.4
32.4-27=5.4
Find the sum of the infinite series, if it exists a1= 26,r=1/2
Given :
An infinite series :
\(a_1=26\)
\(r=\dfrac{1}{2}\)
To Find :
The sum of the infinite series .
Solution :
The sum of infinite series of G.P is given by :
\(S=\dfrac{a_1}{1-r}\\\\S=\dfrac{26}{\dfrac{1}{2}}\\\\\\S=52\)
Therefore , the sum of the infinite series is 52 .
Hence , this is the required solution .
Convert:
pounds
1 ton
Submit
Answer:
o think it is one ton in pounds
If 8.5 gallons of gas cost $18.02, how
much would 3.5 gallons cost?
I need help on this question please anyone ?!!!!??!!!
PLEASE GIVE BRAINLIEST <3
Answer:
I'm pretty sure it's bumper cars ( B ).
Hope this helped! <3
A suppose price per person for an event. If 17 people sign up. And the price per person is 213 what will be the price per person if 27 people sign up ?
Answer:
5751
Step-by-step explanation:
price per person = 213
213 x 27 = 5751
so, the if 27 people sign up is 5751
What percent is equivalent to 24/50 24% 48% 50% 52%
Answer:
48%
Step-by-step explanation:
(24/50)2
= 48/100
= 48%
SOMEONE PLEASE HELPP MEE
The end-points of the line segment will be negative 1.25 and 0.25.
What is a number line?A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.
The length of the line segment is 1.50 units and the midpoint of the line segment is negative 0.50. Then the end-points of the line segment are given as,
⇒ - 0.50 ± (1.50) / 2
Simplify the expression, then we have
⇒ - 0.50 ± (1.50) / 2
⇒ - 0.50 - (1.50) / 2, - 0.50 + (1.50) / 2
⇒ - 0.50 - 0.75, - 0.50 + 0.75
⇒ - 1.25, 0.25
The end-points of the line fragment will be negative 1.25 and 0.25.
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B. What is each piece measurement if the angle is cut into 9 equal
lengths? Kerf width is 0.125.
Each piece Measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.
When a particular angle is cut into nine equal parts, the measure of each piece needs to be calculated.
Therefore, it is essential to first calculate the total angle measure and then divide it by the number of parts into which it is being cut.
What is an Angle?
An angle is a geometrical shape that consists of two rays sharing a common endpoint. The common endpoint is known as the vertex, and the two rays are known as the arms of the angle. An angle can be measured in degrees, radians, or gradians. Degrees are the most commonly used unit of measuring angles.How to Calculate Each Piece Measurement of an Angle if Cut into 9 Equal Lengths
To determine each piece measurement of an angle if cut into nine equal lengths, we will need to carry out the following steps:
Step 1: Calculate the total angle measure Suppose the angle being cut into nine equal lengths is an obtuse angle measuring 120 degrees. In that case, the total angle measure will be 120 degrees.
Step 2: Divide the total angle measure by the number of parts into which it is being cut.120 degrees ÷ 9 = 13.3333 degrees
Step 3: Add the kerf width to the piece measurements.0.125 x 9 = 1.125 degrees13.3333 + 1.125 = 14.4583 degrees
Therefore, each piece measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.
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helpppp meeee! pleaseeee!
Answer:
9
11
17
25
Step-by-step explanation:
Input the x into the equation
Answer:
2×2+5=9
2×3+5=11
2×6+5=17
2×10+5=25
find the angles of a rombus in which a diagonal length is equal to the lengh of a side
Answer:
The answer to your problem is, angles of rhombus are 60 ,120,60,120.
Step-by-step explanation:
We can draw the figure as shown in attachment.
Then you can see an equilateral triangle ABD.
So here angle A, B and D all will be 60 degrees.
So one of the angles of rhombus becomes 60°.
Rhombus is a parallelogram.Hence the adjacent angle becomes 120°.
Thus the answer to your problem is, angles of rhombus are 60 ,120,60,120.
100 under 40 feet 75 40 feet or taller 50 25 0 deciduous evergreen Yes, 60% of the deciduous trees are under 40 feet, and 40% are at least 40 feet. Similarly, 58% of evergreens are under 40 feet, and 42% are at least 40 feet. From the data recorded. there is a clear association. No. 60% of the deciduous trees are under 40 feet, and 40% are at least 40 feet. Similarly, 58% of evergreens are under 40 feet, and 42% are at least 40 feet. From the data recorded, there is not a clear association. Yes, 75% of the deciduous trees are under 40 feet, and 30% are at least 40 feet. Similarly, 24% of evergreens are under 40 feet, and 10% are at least 40 feet. From the data recorded, there is a clear association. No. 75% of the deciduous trees are under 40 feet, and 30% are at least 40 feet. Similarly, 24% of evergreens are under 40 feet, and 10% are at least 40 feet. From the data recorded, there is a not clear association.
Let's begin by listing out the given information:
There are 2 separate bars on the chart (deciduous & evergreen)
60% of deciduous trees are under 40 feet & 40% are 40 feet or more
58% 0f evergreen trees are under 40 feet & 42% are 40 feet or more
Because of the similarity of the two bars (deciduous & evergreen trees), we can conclude that there is a clear association between both trees
What is the measure of this angle?
140°
80 70 60 50 40
310 40 310 610 710 80 90 100 110 120 130 140 150
50°
170 160 150 140 130 120
50 40 30 20 10
180°
40°
Done →
Answer:
140°
Step-by-step explanation:
The measure of this angle is 140°.
The measure of given angle is 140 degrees.
What is Coordinate system?Arrangement of reference lines or curves used to identify the location of points in space
A protractor is a semi-circular tool used to draw and measure angles.
It is marked with degrees from 0 to 180 degrees.
It can be directly used to measure any angle from 0 to 360 degrees.
The markings are made in two ways, 0 to 180 degrees from right to left and vice versa.
The measure of this angle is 140 degrees.
Hence, the measure of given angle is 140 degrees.
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Which equation represents the statement: Three times the sum of a number and 5 is -30
Answer:
Not 100 percent but im pretty sure it is 3(n+5)=-30 i found other sites saying its that its up to you if you wanna believe me
Step-by-step explanation:
need help asap please please please please
Answer:
What is the question actually asking for?
Step-by-step explanation:
For every part produced by a factory there are 5 ounces of scrap aluminum that can be recycled there are 16 ounces in 1 pound and 2,000 in 1 ton how many parts must the factory produce so that there is1 ton of scrap aluminum for recycling
The factory must produce 6,400 parts so that there is 1 ton of scrap aluminum for recycling.
It is given that For every part produced by a factory there are 5 ounces of scrap aluminum that can be recycled there are 16 ounces in 1 pound and 2,000 in 1 ton we need to find how many parts must the factory produce so that there is 1 ton of scrap aluminum for recycling
What is a Ratio?
A quantitative relation between two amounts showing the number of times one value contains in another
1 part produced ⇒ 5 ounces scrap aluminium recycled.
So, the ratio of parts produced : Scrap of aluminium = 1 : 5 .... (a)
Let us assume for m parts produced , 1 ton of scrap is recycled.
Also, 1 ton = 2, 000 pounds
and 1 pound = 16 ounces
⇒ 1 ton = 2000 x (16 ounces) = 32,000 ounces
So, for m parts made in the factory, 32,000 ounces scrap is recycled.
So, the ratio of parts produced : Scrap of aluminium = m : 32,000 .... (b)
From both the given ratio, we get
1 : 5 = m : 32,000
m=32000/5
m=6400
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Joshua and Amahle are selling boxes of fruit for a Habitat for Humanity fundraiser. Customers can buy small
boxes of fruit and large boxes of fruit. Joshua sold 15 small boxes of fruit and 15 large boxes of fruit for a
total of $390.00. Amahle sold 20 small boxes of fruit and 25 large boxes of fruit for a total of $592.50. Find the cost of one small box of fruit and the cost of one large box of fruit.
Cost of small box: $
Cost of large box: $
The cost of one small box of fruit and the cost of one large box of fruit is $11.5 and $14.5 respectively.
What is the cost of small and large box?Let
cost of one small box of fruit = x
cost of one large box of fruit = y
15x + 15y = 390
20x + 25y = 592.50
From (1)
x + y = 26
x = 26 - y
Substitute x = 26 - y into (2)
20x + 25y = 592.50
20(26 - y) + 25y = 592.50
520 - 20y + 25y = 592.50
- 20y + 25y = 592.50 - 520
5y = 72.50
divide both sides by 5
y = 72.50/5
y = 14.5
Substitute y = 14.5 into
15x + 15y = 390
15x + 15(14.5) = 390
15x + 217.5 = 390
15x = 390 - 217.5
15x = 172.5
divide both sides by 15
x = 172.5/15
x = 11.5
Therefore, small box cost $11.5 and large box cost $14.5
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Simplify negative 5 and 1 over 6 − negative 8 and 1 over 2
Answer:
Hi there!
Your answer is;
17/6 OR 2 & 5/6
Step-by-step explanation:
(-5+1)/6 - (-8+1)/2
First, simplify in parentheses!
-4/6 - -7/2
Next, change the symbol of 7/2 because two negatives make a positive!
-4/6 +7/2
Next, change the denominators so they both have the same
-4/6 + 7/2
× 3/3
-4/6 + 21/6
Simplify!
17/6
OR
2 & 5/6
Hope this helps
Over time, the number of organisms in a population increases exponentially. The table below shows the approximate number of organisms after y years.
The environment in which the organism lives can support at most 600 organisms. Assuming the trend continues, after how many years will the environment no longer be able to support the population?
12
61
82
24
After 12 years, the environment can no longer support the population growth. (option a).
Population growth is a fundamental concept in ecology and biology. It refers to the increase in the number of organisms in a population over time.
The carrying capacity is the maximum number of individuals of a particular species that can be supported by the environment without degrading it. In this case, the carrying capacity of the environment is 600 organisms. When the population reaches this limit, the environment can no longer support the population, and the growth rate slows down until it reaches equilibrium.
The table provides the approximate number of organisms after y years. To determine when the environment can no longer support the population, we need to find the year when the population exceeds the carrying capacity of the environment. In other words, we need to find the year when the population reaches or exceeds 600 organisms.
Looking at the table, we can see that the population reaches 600 organisms in the year 12.
Hence the correct option is (a).
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Answer: The environment will no longer be able to support the population after 24 years
Step-by-step explanation:
The environment will no longer be able to support the population after 24 years
How to determine the number of years?
The proper representation of the table is given as:
y 1 2 3 4
n 55 60 67 75
An exponential function is represented as:
\(n=ab^y\)
Where:
a represents the \(initial\) \(value\)b represents the \(rate\)Next, we determine the function equation using a statistical calculator.
From the statistical calculator, we have:
\(a=49.19\) \(and\) \(b=1.11\)
Substitute these values in \(n=ab^y\) .
So, we have:
\(n=49.19*1.11^y\)
From the question, the maximum is 600.
So, we have:
\(49.19*1.11^y=600\)
Divide both sides by 49.19
\(1.11^y=12.20\)
Take the logarithm of both sides
\(y log(1.11) = log(12.20)\)
Divide both sides by log(1.11)
\(y=23.97\)
Approximate
\(y=24\)
Hence, the environment will no longer be able to support the population after a period of 24 years.
How you solved that
Helppppp!! Pleaseeeee
What are the values of x, y, and z?
Answer:
x = 111 z = 76 y = 36
Step-by-step explanation:
which congruency statement is correct
show the answers i cant tell u the answer without the choices