Answers
Answer:
[tex]m<CBA=102\°[/tex]
Step-by-step explanation:
we know that
The internal angle of an equilateral triangle is equal to [tex]60\°[/tex]
The internal angle of a square is equal to [tex]90\°[/tex]
To find the internal angle of a regular pentagon, apply the formula
[tex]S=[(n-2)180\°]/n[/tex]
where
n is the number of sides (n=5)
substitute
[tex]S=[(5-2)180\°]/5=108\°[/tex]
therefore
In this problem
[tex]m<CBA+60\°+90\°+108\°=360\°[/tex]
[tex]m<CBA+258\°=360\°[/tex]
[tex]m<CBA=360\°-258\°=102\°[/tex]
Related Questions
Kristen and Sam notice that the means of their scores for the first marking period were the same. Kristen commented that the standard deviation of her scores was 8.4 while the standard deviation of Sam's was 4.8. Which statement must be true?
Answers
Standard Deviation is a measure of how much the scores vary on average from the mean value. A larger standard deviation signifies that values are away from the mean, a smaller standard deviation shows that the values are close to the mean.
Since the standard deviation of Sam's scores is lower as compared to that of Kristen, we can say that Sam's score were more closer to the mean value and were consistent.
So, option B is the correct answer
what does n÷6 is??????
Answers
Which sign makes the statement true 16/25 or 64%
Answers
Hope this helps :)
Mark as Brainliest please
Steven earns extra money babysitting. He charges $31.00 for 4 hours and $54.25 for 7 hours.
Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.
The equation is y =
PLEASE HELP WILL GIVE BRANLIEST!!!!!!!!!
Answers
Need help with this question: Write the equation of the parabola with focus (5,2) and directrix x=1
Answers
x=3. y -coordinate of the vertex for this parabola equals y-coordinate of the focus.
Vertex (3,2).
Focus has x=5 >1, so it is directed to the right.[tex](y-y_{0})^{2}=4p(x-x_{0}) \\(y-2)^{2}=4p (x-3) p is a distance between vertex and focus, and equals abs(p)=abs(5-3)= 2 \\(y-2)^{2}=(4*2) (x-3) \\(y-2)^{2}= 8 (x-3) [/tex]
Caitlin creates an architectural blueprint of a rectangular dining room. The area of the actual dining room is 900 times as large as the area of the dining room on the blueprint. The length of the dining room on the blueprint is 4 inches. What is the length of the actual dining room?
Answers
How many liters equal 1258 cm3
Answers
The 1258 cm³ is equal to 1.258 liters.
To convert 1258 cm³ to liters, you can use the fact that 1 liter is equal to 1000 cm³. Therefore, the conversion from cubic centimeters to liters is straightforward.
Identify the given volume: 1258 cm³.
Know the conversion factor: 1 liter = 1000 cm³.
Perform the conversion:
[tex]1258 \ cm^3 \times \left( \frac{1 \ liter}{1000 \ cm^3} \right) = 1.258 \ liters[/tex]
Choose the proper rationale. “In the compound interest equation, time (the variable t) has the biggest effect on the outcome because...”
A. Time is usually the largest number in the equation.
B. Time uses the largest units (years are bigger than dollars or percentages).
C. Time is an exponent while other units are factors.
D. Time is the independent variable
Answers
Answer:
the answer is c
Step-by-step explanation:
a bag contains 20 pink marbles and 12 yellow marbles. you choose a marble at random. what is the probability of selecting a pink marble?
Answers
there are 20 pink marbles
20/32 = 10/16 = 5/8 (simplified)
what type of figure is quadrilateral fxyh
Answers
Answer: Quadrilateral fxyh is a trapezoid
Step-by-step explanation: Hi, the correct answer is trapezoid.
A trapezoid is a Quadrilateral ( a polygon with four sides) with a pair of opposite sides parallel. These parallel sides are called the bases of the trapezoid, and the other non-parallel sides are known as the "legs" of the trapezoid.
Feel free to ask for more if it´s necessary or if you did not understand something.
Find the volume of the triangular prism. Round to the nearest cubic unit.
•288 cm^3
•144 cm^3
•576 cm^3
•71 cm^3
Answers
Answer:
114 cm∧3
Step-by-step explanation:
V= area of base x height
1) calculate the area of the base with formula: 1/2 bh
B=1/2 (8) (6)=24 then Multiply to get the area: Bh
2) (24) (6)= 144cm∧3
hope this helps.
4 times x plus 2 is at most 10
Answers
A tortoise travels 11 feet in one hour. In each subsequent hour, the tortoise travels one-third the distance it traveled in the previous hour. How far does this tortoise travel in 6 hours?
Answers
The distance that a tortoise will cover in 6 hours is:
16.47735 feet.
Step-by-step explanation:It is given that :
A tortoise travels 11 feet in one hour.
In each subsequent hour, the tortoise travels one-third the distance it traveled in the previous hour.
This means that in 2 hours it travels a total of:[tex]11+\dfrac{1}{3}\times 11\ feet[/tex]
which is equal to:
[tex]11\times \dfrac{4}{3}\ feet=\dfrac{44}{3}\ feet[/tex]
in the 3 hours it will travel a total of:[tex]=11+\dfrac{1}{3}\times 11+\dfrac{1}{3^2}\times 11\ feet[/tex]
In 4 hours it will travel a total of:[tex]=11+\dfrac{1}{3}\times 11+\dfrac{1}{3^2}\times 11+\dfrac{1}{3^3}\times 11\ feet[/tex]
In 5 hours it will travel a total of:[tex]=11+\dfrac{1}{3}\times 11+\dfrac{1}{3^2}\times 11+\dfrac{1}{3^3}\times 11+\dfrac{1}{3^4}\times 11\ feet[/tex]
In 6 hours it will travel a total of:[tex]=11+\dfrac{1}{3}\times 11+\dfrac{1}{3^2}\times 11+\dfrac{1}{3^3}\times 11+\dfrac{1}{3^4}\times 11+\dfrac{1}{3^5}\times 11\ feet=16.47735\ feet[/tex]
Hence, the answer is:
16.47735 feet
enter the missing value into the box to complete the ratio comparing 500 meters to 3 kilometers
Answers
So, if 1 kilometer equals 1,000 meters, that means 3 kilometers equal 3,000 meters.
So the ratio is 500:3000
But let's shrink it down:
= 1:3000/500
= 1:6
Why was the country of Australia created
Answers
In week 3 the two athletes concentrate on biking. Minh's goal is to bike 125 1/2 miles. At the end of the week he found that he actually biked 125 1/6 miles. PJ's Goal was to bike 120 1/4 miles. At the end of the week he found that he actually biked 120 miles. Which athlete was closer to making their goal? Explain
Answers
subtract what was actually biked from his goal
= 125 1/2 - 125 1/6
convert to like denominators
= 125 3/6 - 125 1/6
= 2/6
simplify
= 1/3 or 0.3333333
PJ:
= 120 1/4 - 120
= 1/4 or 0.25
ANSWER: PJ came closer to his goal because 1/4 (or 0.25) is closer to zero which makes it a smaller number than 1/3 (or 0.33).
Hope this helps! :)
which expression represents the perimeter of the model shown below? PLEASE HELP
Answers
P = 2(4x+3) + 2(2x)
answer
B. 2(4x+3) + 2(2x)
P = 2(4x+3) + 2(2x)
Answer :
B. 2(4x+3) + 2(2x)
Give me 5 stars :)
Find the missing angle
Answers
Morgan bought a pair of shoes at a sale of 25%. If the amount she paid was $1000, find the marked price.
Answers
250=the discount on the product
1000-250= 750$
Your answer would be 750$
The marked price of the shoes that Morgan bought at a 25% discount for $1000 is $1333.33. The calculation was done by dividing the discounted price by (1 minus the discount percentage in decimal form).
The question involves finding the marked price of an item given the discounted price and the discount percentage. Morgan paid $1000 for a pair of shoes after getting a 25% discount. To find the original marked price, we can use the formula:
Discounted Price = Marked Price × (1 - Discount Percentage)
Here, the Discounted Price is $1000, and the Discount Percentage is 25%, which is equivalent to 0.25 in decimal form.
By rearranging the formula to solve for the Marked Price, we get:
Marked Price = Discounted Price ÷ (1 - Discount Percentage)
Now we can calculate:
Marked Price = $1000 ÷ (1 - 0.25) = $1000 ÷ 0.75 = $1333.33
Therefore, the marked price of the shoes was $1333.33.
Find the area of the trapezoid to the nearest tenth.
Answers
However, I will try to help you with the procedures on how to get the area of trapezoid and you can apply on the diagram you have.
Now, area of trapezoid can be calculated using the following rule:
area of trapezoid = [tex] \frac{b1 + b2}{2} * h[/tex]
where:
b1 is the length of the first base
b2 is the length of the second base
h is the height of the trapezoid
The bases are the two parallel sides in the trapezoid
To better illustrate this, consider the attached diagram.
We have:
b1 = 5 m
b2 = 8 m
h is the perpendicular height = 4 m
Area = [tex] \frac{5+8}{2} *4[/tex] = 26 m²
Hope this helps :)
PLEASE HELP!!!!!!
Of all students, calculate the relative frequency for males who carpool.
0.204
9
33
0.088
Answers
Answer:
It's 0.088.
Step-by-step explanation:
So the males who carpool is 9 right? Well relative frequency is the frequency divided by the total. So we must divide 9 by 102.
9÷102 = 0.088
Matt has a rectangular garden that is 10 ft wide and 24 Ft long . He wants to build a fence from one corner to the opposite corner . How many feet of fence does Matt need ???
Answers
The length of the fence Matt needs is 26 ft.
Explanation:To find the length of the fence, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the width of the garden is one side of the right triangle, the length of the garden is the other side, and the fence is the hypotenuse.
So, we can calculate the length of the fence as follows:
Length of the fence = √((Width)^2 + (Length)^2)
Substituting the given values, we get:
Length of the fence = √((10 ft)^2 + (24 ft)^2)
Length of the fence = √(100 ft^2 + 576 ft^2)
Length of the fence = √676 ft^2
Length of the fence = 26 ft
Final answer:
To calculate the length of fence needed for Matt's garden, the Pythagorean theorem is used, resulting in needing a fence that is 26 feet long.
Explanation:
Calculating the Fence Length Across a Rectangular Garden
Matt has a rectangular garden with dimensions of 10 feet in width and 24 feet in length. To find the length of the fence that Matt needs to build from one corner of the garden to the opposite corner, we will use the Pythagorean theorem, since the corners of the garden and the fence form a right triangle.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). The formula is c² = a² + b².
For Matt's garden, the length is 'a' = 24 ft and the width is 'b' = 10 ft. Plugging these values into the formula, we get:
c² = 24² + 10²
c² = 576 + 100
c² = 676
We then take the square root of both sides to solve for 'c':
c = √676
c = 26 ft
Therefore, Matt needs 26 feet of fence to reach from one corner of the garden to the opposite corner.
20 POINT FOR ONE QUESTIONS PLEASE HELP THANK YOU!!! I WILL MARK BRAINLIEST
1. What is the value of z?
Answers
Sum of the corners should be 180°, so
39+102+5z+4=180 => 5z = 180-145 => z=35/5=7°
my previous answer of 29 was indeed wrong!!!
sorry for that!!
so 180 - 78 = 102
sum of interior angles in a triangle = 180
102 + 39 + 5z + 4 = 180
5z + 145 = 180
5z = 35
z = 7
answer
x = 7
A quadratic equation is shown below: 10x2 − 3x − 1 = 0 Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. (5 points) Part B: Solve 16x2 − 2x − 5 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used. (5 points)
Answers
For this case we have the following equation:
10x2 - 3x - 1 = 0
The radicand of the equation is:
root (b ^ 2 - 4 * a * c)
Substituting values:
root ((- 3) ^ 2 - 4 * (10) * (- 1))
root (9 + 40)
root (49)
49> 0
Therefore, the function has two real roots.
Part B:
For this case we have the following equation:
16x2 - 2x - 5 = 0
Factoring we have:
(2x + 1) * (8x-5) = 0
The solutions are:
x = -1/2
x = 5/8
The method of factoring is usually faster when solving quadratic equations.
A) Consider the equation [tex]10x^2-3x-1=0[/tex]
We have to describe the solutions to this equation.
We will determine the radicand = [tex]b^2-4ac[/tex]
= [tex](-3)^2 - 4(10)(-1) = 9+ 40 = 49[/tex] which is greater than zero,
Therefore, the given equation ha real roots.
B) Consider the equation [tex]16x^2-2x-5=0[/tex]
We will use middle splitting term method to solve this equation.
[tex]16x^2+8x-10x-5 =0[/tex]
[tex]8x(2x+1) -5(2x+1)=0[/tex]
[tex](2x+1)(8x-5)=0[/tex]
So, [tex]2x+1=0[/tex]
[tex]x = \frac{-1}{2}[/tex] and [tex]x = \frac{5}{8}[/tex]
I chose this method, because this is more easier and takes less time.
If jeremy gives his horse 12 gallons of water each day. How many one quart pails of water is that
Answers
4 quarts= 1 gallon
= 12 gallons * 4 quarts in 1 gallon
= 48 quarts
ANSWER: He would use 48 quart pails of water per day to give his horse 12 gallons of water.
Hope this helps! :)
How much sugar is there in 100g of 15% sugar syrup?
Answers
In order to solve this problem, we'll need set up a proportion and solve. This is our proportion: x/100 = 15/100. Next, we'll cross-multiply to get: 100x = 1500. Lastly, we'll divide both sides by 100 to figure out how many grams of sugar are in 100g of 15% sugar syrup: x = 15 grams.
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
In 100g of 15% sugar syrup, there is 15g of sugar.
Sugar SyrupSugar syrup is a thick viscous liquid that mostly contains water and dissolved sugar in it. therefore, a 20% sugar syrup means having a 20:80 ratio of sugar and water in a unit of sugar syrup.
Given to us,100g of sugar syrup 15% sugar,
Now, 15% of sugar means having a 15:85 ratio of sugar and water in 100g of sugar syrup. Let the sugar in 100g of sugar syrup be x. so, the water in the syrup is (100-x), therefore,
[tex]\bold{\dfrac{15}{85} = \dfrac{sugar}{water}}[/tex]
Substituing the values we get,
[tex]\dfrac{15}{85} = \dfrac{x}{100-x}\\\\15\times(100-x) = 85x\\1500 - 15x = 85x\\1500 = 85x +15x\\1500 = 100 x\\\\x = \dfrac{1500}{100}\\\\x = 15[/tex]
Hence, In 100g of 15% sugar syrup, there is 15g of sugar.
Learn more about sugar syrup:
https://brainly.com/question/7459847
What is 0.24 ̅ (4 is repeating) expressed as a fraction in simplest form?
Show your work please
Answers
10x=2.44
10x - x = 2.44- 0.24
9x=2.2
2.2/9 =22/90
Here, we need to find express 0.2444... as a fraction in simplest form.
Let the fraction be expressed as x
Now,
x = 0.2444....
Since, x is recurring in 1 decimal places, we multiply it by 10.
10x = 2.4444....
From left hand-side, x is subtracted and from 0.24444... from right hand side
10x - x = 2.4444.... - 0.24444....
So now,
9x = 2.2
x = [tex] \frac{2.2}{9} [/tex]
x = [tex] \frac{22}{90} [/tex]
x = [tex] \frac{11}{45} [/tex]
Thus, fraction as simplest form = [tex] \frac{11}{45} [/tex]
you plan to leave a 15% tip and your dinner bill is $45(tax included). How much total should you leave
Answers
According to the table, what is the mode of the average high temperatures for states listed in the chart? A) no mode B) 55° F C) 81° F D) 88° F
please explain how to do this type of math I need help ;-;
Answers
Answer:no mode
Step-by-step explanation:
please help me write the equation for the problem below
——————————————
A chess club has 500 members but is losing 30 members each year. A computer club has 150 members and is gaining 20 members per year. Wrote and solve an equation to find the number of years it will take for the two clubs to have the same number of members.
Answers
chess club members = computer club members
500 - 30x = 150 + 20x
x represents the amount of years that have passed. The coefficients for x represent the loss or gain of members per year.
Add 30x to both sides.
500 = 150 + 50x
Subtract 150 from both sides.
350 = 50x
Divide both sides by 50 to solve for x.
x = 7
It will take 7 years for both clubs to have the same amount of members.