Answer:
Step-by-step explanation:
\(cos~L=\frac{m^2+n^2-l^2}{2mn} \\=\frac{5^2+8^2-7^2}{2*5*8} \\=\frac{25+64-49}{80} \\=\frac{40}{80} \\=\frac{1}{2} \\=cos 60\\\)
∠L=60°
The figure shows four box-and-whisker plots. These represent variation in travel time for four different types of transportation from the beginning to the end of one route.
Conrad is at one end of the route. He is trying to decide how to get to an appointment at the other end. His appointment is in 30 minutes. Which type of transportation is LEAST likely to take more than 30 minutes?
a. bus
b. car
c. subway
d. train
Answer: C
Step-by-step explanation:
For box and whiskers plot the box is where the majority of the data is. the whiskers(the lines on both sides will tell you where the range of numbers lie)
The middle line in the box is the median number.
The question is worded oddly where they want least likely to be more than 30 which means which one will have less than 30. (Double negative question)
You want the majority of the data to be less than 30, which is subway. C
At a local play production, 490 tickets were sold. The ticket prices varied on the seating arrangements and cost $8, $10, or $12. The total income from ticket sales reached $4600. If the combined number of $8 and $10 priced tickets sold was 6 times the number of $12 tickets sold, how many tickets of each type were sold?
PRICES COUNTS COSTS
8 e 8e
10 420-e-t 10(420-e-t)
12 t 12t
420 3920
system%28e%2B420-e-t=5t%2C8e%2B10%28420-e-t%29%2B12t=3920%29
First equation gives highlight%28t=70%29.
Second equation simplifies to e-t=140.
Substitution gives highlight%28e=210%29.
Quantity of $10 tickets by difference, highlight%28140%29
Read the following conditional statement:
If one of the angles of a triangle equals 90º, then the triangle is classified as a right triangle.
Which of the following choices is the first step of an indirect proof?
If the triangle is a right triangle
If the triangle is not a right triangle
If the triangle equals 90º
None of these choices are correct.
Answer/Step-by-step explanation:
C., the first proof we would be given if a little box is shown, which indicates a 90 degree angle at the place where to lines touch in a T kind of manor. So C is the answer.
The Sugar Sweet Company is going to transport its sugar to market. It will cost $7500 to rent trucks plus $175 for each ton of sugar transported. The total cost, C (in dollars), for transporting n tons is given by the following. =C+7500175n If the total cost is $11,700, how many tons is the company transporting?
The height to the top of a flagpole is 18 feet. The flagpole casts a shadow of 20 feet, and a tree casts a shadow of 25 feet. How tall is the tree?
Answer:
22.5 feet
Step-by-step explanation:
set up a proportion, then cross-multiply
18/20 = x/25 or 18/x = 20/25
The height of the tree is 22.5 ft
What are similar triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Given that, the height to the top of a flagpole is 18 feet, the flagpole casts a shadow of 20 feet, and a tree casts a shadow of 25 feet.
Here we need to find the height of the tree,
We will use the concept of the similar triangles to find the same,
Let the height of the tree be x
So. according to the definition of similar triangles,
18 / 20 = x / 25
x = 45 / 2
x = 22.5
Hence, the height of the tree is 22.5 ft
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In Part A, you calculated how to share 1/4 piece of gum among 5 people. Now, use this information to help you calculate how much gum each person would get if Dario shares all 4 1\4 pieces of gum (the whole foot of gum).
If we know that 1/4 piece of gum can be shared among 5 people, then we can find out how much gum each person would get if all 4 1/4 pieces of gum are shared.
To do this, we need to first calculate how many 1/4 pieces are in 4 1/4 pieces of gum:
4 1/4 = 17/4
So, there are 17/4 pieces of gum in total.
Next, we can calculate how many 1/4 pieces each person would get if the gum is shared equally among 5 people:
(17/4) ÷ 5 = 17/20
Therefore, if Dario shares all 4 1/4 pieces of gum equally among 5 people, each person would get 17/20 piece of gum.1. Use the Pythagorean
Theorem to determine if a
triangle with side lengths 6ft.,
6ft., 8ft. is a right triangle.
Answer:
Not a right triangle
Step-by-step explanation:
\( {6}^{2} + {6}^{2} = 36 + 36 = 72...(1) \\ \\ {8}^{2} = 64....(2) \\ \\ from \: equations \: (1) \: and \: (2) \\ \\ {6}^{2} + {6}^{2} \neq {8}^{2} \\ \\ \)
Hence, triangle with side lengths 6ft.,
6ft., 8ft. is not a right triangle.
Evaluate 7-5p+3q when p= 1 and q =7
Answer:
23
Step-by-step explanation:
7-(5*1)+(3*7)
7-5+21
2+21
23
Answer:
23
Step-by-step explanation:
If p=1, then 5p would be 5 x 1
5 x 1 = 5
And if q = 7, then 3q would be 3 x 7.
3 x 7 = 21
With that in mind, we have 2+21
2+21=23
The answer is 23.
Someone pls Help me out!!!
Answer:
Gasoline = 10.2 * 3.80= 38.76
Water= 3 * 3.98 = 11.94
Ice- 3 * 1.99 = 5.97
Oranges= 1 * 8.89 = 8.89
Step-by-step explanation:
if the williams spend 1/3 of their total monthly income for rent and 1/4 for food. what fraction of their money remains for other expenses each month?
The fraction of their money remains for other expenses each month is 5/12.
What is fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given:
Williams spend 1/3 of their total monthly income for rent and 1/4 for food.
The fraction of their money remains for other expenses each month,
= 1 - 1/3 - 1/4
= 5/12
Therefore, 5/12 is the remaining money.
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Which shows a set of decimals ordered from least to greatest
A. 0.45 , 0.54 , 5.04
B. 0.54 , 0.45 5.04
C. 0.45 5.04 0.54
D. 0.54 , 5.04 0.45
Answer:
a. 0.45. , 0.54. , 5.04 is the answer
Answer:
a
Step-by-step explanation:
It's a because it starts with 0.45 (the least because if its just 45 than thats less than 54) and the greatest is 5.04 (you can think of them as 45, 54, and 504 but DON'T AVTUALLY DO THAT IN MATH).
Polygon A has one side that is 1.5 and two sides 2.5. How can I figure out how many times larger Polygon B is?
Express x^2+y^2+4x-6y+1=0 in polar coordinates form
Answer:
Step-by-step explanation:
d over d x over y=-1 over 2 y plus 3 over 2
need answer please !!!!!
Answer: -9
Step-by-step explanation:
f(x)=-5x-4
f(1)=-5(1)-4
=-5-4
f(1) =-9
1. 8(x+7)
!!!!!!!!!!!!!!!!!!!!!
Last year and investor purchased 115 shares of stock A at $90 per share
The difference in overall loss or gain between sell at the current day's high price or low price is found tp be the difference in overall gain as $280.10
The third option is correct.
How do we calculate?For stock A:High price value: 115 shares * $105.19 per share = $12,084.85
Low price value: 115 shares * $103.25 per share = $11,858.75
For stock B:High price value: 30 shares * $145.18 per share = $4,355.40
Low price value: 30 shares * $143.28 per share = $4,298.40
The overall value at high price:
$12,084.85 + $4,355.40
= $16,440.25
The overall value at low price:
$11,858.75 + $4,298.40
= $16,157.15
In conclusion, the difference in overall gain or loss:
$16,440.25 - $16,157.15 = $280.10
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4c=3 solve for c please
Step-by-step explanation:
Given equation is:-
4c=3Dividing both sides by 4, we get
4c/4=3/4By doing simply, we get
c=¾Hence, the value of c will be ¾.
If a varies as square root of y, how x is affected when y is increased by 44%
Answer: 16.7%
Step-by-step explanation:
x/(root y) =x
root y is increased by 44%
x/(44+root y)=16.7%
Help me with this please
Answer:
Your answer will be B. A town's population grows at a rate of 7.2% every year.
Step-by-step explanation:
Pls give me brainliest thx
Q2.
Sarah wants a music magazine each month for a year. She can
pay £3.50 each month
or
pay £37.20 for the year.
Sarah pays £37.20 for the year. How much cheaper is this than paying £3.50 each month?
Maybe 4.80
Step-by-step explanation:
Examine the graph of f(x) at right.
a. describe the domain and range.
b. Is the graph a function? How can you tell?
c. Name the coordinates of any special points. What are these points? (Interceptes? Roots? Etc.)
d. Evaluate f(2)
PLEASE HELP ASAPPP !! Instructions: State what additional information is required in order to know that the triangles are congruent for the given reason. Given: SAS
Explanation:
We are given the sides are congruent due to the tickmarks. Specifically
TU = WV (single tickmarks)
TV = WX (double tickmarks)
So we just need the "A" of "SAS". The A is between the two S letters, so the angle is between the two sides. For triangle TUV, the angle T is between the two sides with the tickmarks. Similarly, angle W is between the tickmarked sides of triangle WVX.
If we know that angle T = angle W, then we have enough information to use SAS.
solve the following equation by completing the square. x^2-8x-2=0
\(x^2 -8x-2=0\\\\x^2 -8x=2\\\\x^2 -8x+16=18\\\\(x-4)^2 =18\\\\x-4=\pm \sqrt{18}\\\\\boxed{x=4 \pm \sqrt{18}}\)
What is the difference between population parameters and estimates in a sample?
Answer:
Using that sample, you calculate the corresponding sample characteristic, which is used to summarize information about the unknown population characteristic. The population characteristic of interest is called a parameter and the corresponding sample characteristic is the sample statistic or parameter estimate.
Step-by-step explanation:
If you collect a sample and calculate the mean and standard deviation, these are sample statistics.
The recursive formula, an = an-1 - 12 with a0 = 84 describes the amount of water left, in gallons, in a bathtub n after the drain stopper was pulled. Find a5, he amount of water left in the tub after 5 minutes.
_________
The amount of water left in the tub after 5 minutes is; 24 gallons
How to solve recursive formula?The given recursive formula is expressed as;
aₙ = aₙ ₋ ₁ - 12
We are told that a₀ represents the amount of water left, in gallons, in a bathtub n after the drain stopper was pulled.
Thus, when n = 1, we have;
a₁ = a₁ ₋ ₁ - 12
a₁ = a₀ - 12
a₁ = 84 - 12
a₁ = 72
Then;
a₂ = a₁ - 12
a₂ = 72 - 12
a₂ = 60
It will seem that it follows a sequence pattern of;
aₙ = 84 - 12n
Thus;
a₅ = 84 - 12(5)
a₅ = 24 gallons
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Solve using either substitution or elimination
X-3Y=-14
X-Y=-2
How do I solve this? 3x+3y=9 y=2x solve for x and y using substitution
Answer:
x=1, y=2
Step-by-step explanation:
One interior angle of a triangle is 43°, and the other two angles are congruent. Choose the equation that could be used to determine the degree measure of one of the congruent angles. 2x + 43 = 180 2x − 43 = 90 x + 43 = 180 x − 43 = 90
Answer:
x − 43 = 90
Step-by-step explanation:
2x + 43 = 180
2x − 43 = 90
x + 43 = 180
x − 43 = 90
Determine the area of the given region.
\(\displaystyle \int_{0}^{\frac{\pi }{3}}~\sin(x)dx\implies \left.\cfrac{}{} -\cos(x)\right]_{0}^{\frac{\pi }{3}}\implies\left( -\cfrac{1}{2}\right) ~~ - ~~(-1)\implies \cfrac{1}{2}\)
Order the values from least to greatest |2|, -3, |-5|, -1, 6
Answer:
-1, -3, 2, 5, 6
Step-by-step explanation:
The numbers in the | | mean that it would be positive. Instead of being |-5|, it would be positive 5.