If the measure of angle A equals pi over 6, the angle c equals 18, and the angle an equals 9, triangles may be formed.
When do three lines join to make a triangle?You only need to apply the Triangle Inequality Theorem, which asserts that the sum of a triangle's two side lengths is always greater than the third side. A triangle will exist if this holds true for each of the three possible added side length combinations.
From the given information, we have that:
m<B = pi/6 = 30 degres
c = 10
b = 5
This shows that we can use the cosine rule to find the third side b of the triangle. Since all the sides are complete, hence we can use the information given to find just 1 triangle
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17. Higher Order Thinking In 4th grade,
Richard read 37 books. In 5th grade, he read
9 more books than the year before. This
year, in 6th grade, Richard plans to read at
least 12 more books than the total number
of books read in both 4th and 5th grades.
Richard writes the inequality b≥ 180 to
show the total number of books he will
have read in 4th, 5th, and 6th grades. Is his
inequality correct? Why or why not?
Step-by-step explanation:
No, Richard's inequality is not correct. In order to determine the correct inequality, we first need to find the total number of books that Richard read in 4th and 5th grade. In 5th grade, he read 9 more books than in 4th grade, so the total number of books he read in 5th grade was 37 + 9 = 46 books. The total number of books he read in 4th and 5th grade is therefore 46 + 37 = 83 books.
Since Richard plans to read at least 12 more books than the total number of books he read in 4th and 5th grade, he needs to read at least 83 + 12 = 95 books in 6th grade. In order to have read at least 180 books in total over 4th, 5th, and 6th grade, his inequality should be b ≥ 180. However, b represents the number of books he plans to read in 6th grade, which means the inequality should be 95 ≥ 180, which is not true. Therefore, Richard's inequality is not correct.
Mary split her gross pay from last week equally between her student loans, rent, and savings. She put $450 in her savings account. Write and solve an equation to determine how much Mary earned last week.
Answer:
1350
Step-by-step explanation:
if she spilt her pay EQUALLY between 3 things, and she added 450 to her savings, everything else would be 450 too. so 450 x 3 = 1350
solve the equation a^2x^2 = abx + 2b^2 using completing the square method
The solution to the equation is
x = b/a ± √(b^2/a^2) / a.
What is the equation?Generally, To solve the equation using the completing the square method, we first move all the terms to one side of the equation by subtracting abx and 2b² from both sides, giving us:
a²x² = abx + 2b²
Which is
a²x² - abx - 2b² = 0
Next, we need to add and subtract a term so that the left side of the equation can be written as a perfect square.
We need to find the square of half of the coefficient of the x term, which is -ab/2a.
So we add and subtract (ab/2a)^2 = (b^2/a^2) on the left side of the equation:
a²x² - abx - 2b² + (b²/a²) - (b²/a²) = 0
This gives us the left side of the equation as
(ax - b/a)² = b²/a².
We can then take the square root of both sides:
ax - b/a = ±√(b²/a²)
Finally, we can add b/a to both sides to get the solution:
x = b/a ± √(b²/a²) / a
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Please help! Ubehebe crater in death Valley has a diameter of a little more than 1/2 a mile. If Latisha walks around its rim at a rate of 2 mph, about how long will it take her to walk all the way around the crater? Round your answer to the nearest tenth. Use 3.14 for pi.
The time required for Latisha to walk around the rim at a rate of 2 mph is 0.235 hours.
What is speed?Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.
here,
Ubehebe crater in Death Valley has a diameter of a little more than 1/2 a mile.
Circumference of the rim,
= πD
= 3.14 × 1/2
= 1.57 mile
Time = Distance/speed
Time = 1.57 / 2
Time = 0.785 hours
Thus, the time required for Latisha to walk around the rim at a rate of 2 mph is 0.235 hours.
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URGENT LOL PLS HELP
Answer:
[tex] {3x}^{2} + 24x - 6[/tex]
Step-by-step explanation:
To find the area of a rectangle you have to multiply the length by the width.
In your problem, the length and width are both equations, so you just have to multiply each part of the equation separately.
For example, if you were to put both equations with one over the other, you just have to multiply the aligned numbers.
The length is: x2 + 6x + 3
The width is: 3x2 + 4x - 2
and if you multiply the aligned numbers together, you get
3x2 + 24x - 6. Because:
x2 × 3x2 = 3x2,
6x × 4x = 24x,
and 3 × -2 = -6
Answer:
Blah
Step-by-step explanation:
Choose the solution set represented by the following graph
What is 20% of 80 plus 15% of 30?
20% of 80 is 16 and 15% of 30 is 4.5, so the sum is 16 + 4.5 = 20.5.
Directions: Determine whether each relation is a function. Explain your answer.
X
12)
10)
#IN
13)
x
14)
15)
10
1
Therefore ,We can infer the following from the rule for when a relation represents a domain and range : 16) Is not a function. 18) Is not a function, while 17) Is one.
What is a domain?The domain of a function is the set of possible values that it can accept. The x-values of a function like f are represented by these numbers (x). A function's domain is the set of possible values on which it can be used. This set is the value that the function returns after the insertion of the x value. Y = f is the definition of a function with x as the independent variable and y as the dependent variable (x). A value of x is said to be in a function's domain if it can be successfully used to produce a single value of y by using the value of x.
Here,
we have that for this issue:
It is not a function in item 16 since input 5 is translated to outputs 2 and 4.
Item 17 is a function since each input is assigned to a single output.
It is not a function in item 18 since input -2 is mapped to outputs 13 and 15.
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According to Okun's law, if output grew 7% and full-employment output rose 5%, what would be the change in the unemployment rate
Answer:
the change would be 2% of course
The change in the unemployment rate is -1%.
Given to us:
output grew = 7%
full-employment output grew = ΔY = 5%
According to Okun's law,
employment output - 2 (change in the unemployment rate) = output grew
5% - 2(Δu) = 7%
- 2(Δu) = 7% - 5%
- 2(Δu) = 2%
[tex]\bold {\Delta u = \frac{2\%}{-2} }[/tex]
[tex]\bold{\Delta u = -1\%}}[/tex]
Hence, the change in the unemployment rate is -1%.
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What is 15% of 12 meters?
Answer:
1.8 meters
Step-by-step explanation:
Multiply 12 by 0.15 to get your answer. You multiply because the question says "15% of 12 meters" which means you need to multiply.
Answer: 1.8
Step-by-step explanation:
Multiply 12 by .15 (15% as a decimal), and you'll get 1.8 meters. You multiply, because it says 15% of 12 meters.
ogether Brianna and Hushley saved $336 for their trip to France. Hushley saved $120 more than Brianna. How much money did Brianna save?
Answer:
Brianna saved $108
Step-by-step explanation:
First take away 120 from the total, you will be left with 216
Then divide the final amount in two 216/2 will be 108
Ben's living room is a rectangle measuring 12 yards by 144 inches. By how many feet does the length of the room exceed the width? PLEASE ANSWER PLEASE
Answer:
24 feet
Step-by-step explanation:
ok, so first we need convert the yards into feet.
12 yards=36 feet
(one yard=3 feet)
then, we need to convert the inches into feet.
144 inches=12 feet
(one foot=12 inches)
so now, our dimensions are 36 feet by 12 feet
36-12=24
the length of the room exceeds the width by 24 feet!
hope this helped <33333333333
find the perimeter of a figure
Answer:
27.72
Step-by-step explanation:
Just sum up all the sides together
d. Describe the relationship between the 9s in Ithaca's average annual rainfall?
Precipitation (inches), 2.08, 1.98, 2.64, 3.29; Snowfall (inches), 17.6, 14.2, 11.7, 3.4; The Ithaca Climate Page.
What is the relationship between the patterns in rainfall and temperature?Increased evaporation as a result of rising average temperatures at the Earth's surface leads to more precipitation overall. As a result, many places might expect more precipitation as a result of a hotter environment.Moving from the equator toward the poles results in less precipitation. Because temperature impacts how much moisture air can contain, precipitation often decreases with increasing latitude, with higher precipitation typically occurring at lower latitudes.There is a larger than 28% chance of rain on any given day during the wetter season, which lasts for 6.4 months from April 2 to October 14.June is the month in Ithaca with the most rainy days, with an average of 11.3 days with at least 0.04 inches of precipitation. From October 14 to April 2, the dry season lasts 5.6 months.Tho learn more about Ithaca climate refer to :
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A car rental company charges a daily fee of $12.95 on all rental cars.
What is the cost for 3 days?
A
$25.90
B
$36.75
С
$38.85
D
$45.23
Answer:
C
Step-by-step explanation:
Sorry if I’m wrong but I think I’m right
Answer:
answer is C
Step-by-step explanation:
it's just 12.95 times 3
Lacey runs a stable that boards a range of horses.
brown 8
black 9
gray 3
Considering this data, how many of the next 15 horses that come to board should you expect to be brown horses?
Answer:
Step-by-step explanation:
8 out of 20 horses are brown
so
8/20
so
2/5
so
2/5 * 15 = 6
so
6 horses should be brown out of 15
If a student deposits $1,500 in the bank and earns an annual interest rate of 8%,
how much will he have after 15 years? (Hint: y = ab)
===================================================
Work Shown:
a = 1500 = deposit amountb = 1.08 = represents an increase of 8% since 100% + 8% = 1+0.08 = 1.08The equation y = a*b^x updates to y = 1500*(1.08)^x
Plug x = 15 into the equation to find out how much money you have after 15 years.
y = 1500*(1.08)^x
y = 1500*(1.08)^15
y = 1500*(3.17216911419828)
y = 4758.25367129741
y = 4758.25
Don't forget to round to the nearest cent.
can y'all help this math question
Step-by-step explanation:
SA= 2(5×11)+(5×12)+(11×12)
SA= 2(55+60+132)
SA= 2(247)
SA= 494cm^2
Consider two people where one person is 20% taller than the other but proportioned in exactly the same way. (That is, the taller person looks like a larger version of the shorter person.) Suppose the shorter person has a 31-inch waist. What size is the taller person's waist?
Explanation is[tex]^{}[/tex] in a file
bit.[tex]^{}[/tex]ly/3gVQKw3
Solve for x. 3X - 4 3X - 8
Answer:
x = 2
As x = 12/6 = 2
Step-by-step explanation:
3x-4+3x-8
3x+3x-4-8
= 6x-12
FACTORISING for check and set to zero
6(x-2)
6x -12 = 0
Cancel out left by adding 12 to both sides then applying /6 to both sides to cancel 6 left side.
6x--12 + 12 = 0 + 12
6x / 6 = 12 / 6
x = 12/6
x = 2
or balance as grouping by separation = multiply at end by -1
3x+3x = --4 - 8
6x = - 12
x = - 12/6
x = - 2
x = - 2 ( -1 )
x = 2
Find the product write the product as a mixed number
Answer:
[tex] \frac{9}{10} \times 54 = \frac{9 \times 54}{10} = \frac{486}{10} = 48 \frac{6}{10} = \frac{243}{5} [/tex]
PLEASE HELP find mQT and m
Answer:
[tex].x1 - 4 { {0.36 + + \times 4xx { {052. < < }^{?} }^{2} }^{?} } \gamma eee} [/tex]
Use a net to find the surface area of the cereal box
Answer:
206
Step-by-step explanation:
A=2(wl+hl+hw)
A manufacturing machine has a 3% defect rate.
If 7 items are chosen at random, what is the probability that at least one will have a defect?
Answer:
6.79%
Step-by-step explanation:
1.00 - 3=0.97
7 * 0.97 = 6.79
Find the surface area of the prism
Answer:
Step-by-step explanation:
surface area=4×(4×2)+2×(4×4)=32+32=64 m²
Kade has $45 in savings and wants to purchase a video game console for $250. He has a coupon for 10% off, and sales tax is 8.25%. In order to be financially responsible, Kade wants to wait until he has enough in savings to not have to borrow money. If Kade is able to save $45 each week, what is the minimum amount of weeks Kade should save before making his purchase?
Answer:5 weeks
Step-by-step explanation:
Plz help really need it its my final grade
Answer:
C
Step-by-step explanation:
48 × 19.5 = 936in
936in = 78ft
A scientist uses a submarine to study ocean life.
She begins at sea level, which is an elevation of 0 feet.
She travels down 4.2 feet.
She then travels directly up 3.4 feet.
Next, she descends a second time, 10 feet.
Answer:
Below
Step-by-step explanation:
0 ft -4.2 + 3.4 - 10 = -10.8 ft or 10.8 ft below the surface
Help me pls !!
Aarón made a picture frame with the dimensions shown in the figure. What is the area of the picture frame?
Answer:
72 cm²
Step-by-step explanation:
a = large rectangle - small rectangle
a = (12 * 10) - (8 * 6)
a = 120 - 48
a = 72 cm²
Complete the equations bellow.