In angle DEF, BD = 87 and WE = 38. Find BW, CW, and CE.
Answers
Answer:
Step-by-step explanation:
The value of y is unclear given the information provided. However, if BC intersects AD at E, then it stands to reason that y would be equal to the value of x. This is because, if BC intersects AD at E, then the two lines are parallel and therefore have the same value for y. Calculating the internal angles of triangle DEF, we can find the length of BW, CW and CE. Since BD=87 and WE=38, the remaining angle must be 55°. Therefore, using trigonometry and the known side lengths, we can calculate BW = 87 sin 55° = 77.5 , CW = 87cos55° = 48.5 and CE = 38sin55° = 33.2 . As you can see then, these are all easily calculable from the given data. In angle DEF, BD = 87 and WE = 38. Therefore, BW = 87 - 38 = 49, CW = 49 - 38 = 11, and CE = 11 - 1 = 10.
Related Questions
Lydia has four straws of different lengths, and she is trying to form a right triangle. The lengths are 8, 9, 15, and 17 units. Which three lengths should she use? Justify your answer.
Answers
The set of 3 lengths that make a right triangle is {8, 15, 17}
Which three lengths should she use?Remember that for any right triangle, the sum of the squares of the two shorter sides must be equal to the square of the longer side.
So if the 3 sides are A, B, and C, such that:
A < B < C
We will have:
A² + B² = C²
Now you only need to try sets of 3 values in that equation, if we use: 8, 15, and 17 we will have:
8² + 15² = 17²
289 = 289
That equationis true, thus, these 3 lengths make a right triangle.
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The table shows the ages of Mark's family members.
Name
Age (years)
381
Phil
Tammy
32
4
Liam
?
Chris
91
4
Andi
4
2
The combined age of all five family members is 95 years. What is Liam's age?
A. 10
years
B.
12 years
o c. 141
years
OD. 15 years
Answers
Answer:
b
Step-by-step explanation:
it's b if I am wrong I am sorry
An article when sold at a profit of 5% yields Rs 50 more than when sold at a loss of 5%. What was the cost price of the article?
Answers
Answer:
Rs 500
Step-by-step explanation:
For cost c, the price that gives a 5% profit is ...
c + 5%·c = 1.05c
The price that gives a 5% loss is ...
c -5%·c = 0.95c
The difference of these prices is Rs 50:
1.05c -0.95c = 50
0.10c = 50 . . . . simplify
c = 500 . . . . . . . divide by 0.1
The cost price of the article is Rs 500.
Find A∩B, given A={−6,−2,0,2,6} and B={−4,0,1,2,5,6}.
Answers
Answer:
Step-by-step explanation:
A ∩ B = {0, 2, 6}
Tell whether each relationship is a function.
PLEASE I NEED THIS ANSWER RIGHT NOW PLEASE HURRY
Answers
Answer:
No. This is not a function
Step-by-step explanation:
8 and 9 have more than one relationship with another number which describes it as not being a function.
Solve for y. 2(y-2) -6y=-28
Answers
Answer:
y = -8
Step-by-step explanation:
2(y-2)- 6y-28 = 0
2y - 4 -6y - 28 = 0
-4y = 32
y = -8
Scientific notation
Answers
The Scientific notation of \($0.09 \cdot\left(9 \times 10^{-4}\right)$\) be 0.000081.
What is meant by Scientific notation?Very big or very small numbers can be written using scientific notation. Once a number between 1 and 10 has been multiplied by a power of 10, it is then expressed in scientific notation.
Simple numerical writing is what scientific notation is. Because it is shorter and more efficient and indicates magnitude very easily, it is particularly helpful for expressing very large or very small values. Every real number can be expressed as the product of two parts: an integer power of ten and a decimal part.
Let the equation be \($0.09 \cdot\left(9 \times 10^{-4}\right)$\)
Apply exponent rule: \($\quad a^{-b}=\frac{1}{a^b}$\)
\($=9 \times 0.09 \times \frac{1}{10^4}$$\)
Multiply fractions: \($\quad a \times \frac{b}{c}=\frac{a \times b}{c}$\)
\($=0.09 \times \frac{1 \times 9}{10^4}\)
\($& \frac{1 \times 9}{10^4}=\frac{9}{10000} \\\)
simplifying the above equation, we get
= 0.09 × 9/10000
Multiply fractions: \($\quad a \times \frac{b}{c}=\frac{a \times b}{c}$\)
= 9 × 0.09/10000
= 0.81/10000
Divide the numbers: 0.81/10000 = 0.000081
= 0.000081
Therefore, the Scientific notation of \($0.09 \cdot\left(9 \times 10^{-4}\right)$\) be 0.000081.
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the functionary f is such that f(x)=7x-6 a)work out the value of f(4) b)hence, or otherwise,work out the value of f^-1(22)
Answers
Answer:
Step-by-step explanation:
a) f(4)=7(4)-6=22.
b) This is equal to 4. Since \(f^{-1}(x)=y \implies f(y)=x\), we get that since f(4)=22, \(f^{-1}(22)=4\).
HELP ME PLEASEEEE I NEED HELO
Answers
Prescription for Marilyn Jones
Piroxicam 20 milligrams (mg) capsules: take 1 capsule 2 times a day
Glucotrol 2.5 milligrams (mg) tablets: take 1 tablet every morning
Isoniazid 100 milligrams (mg) tablets: take 1 tablet 3 times a day
The pharmacy only has 5 milligrams (mg) Glucotrol tablets. How many tablets will Marilyn take in 8 days? (show your work)
Answers
what is the solution to the linear equation? Thanks
Answers
Answer:
p=1
Step-by-step explanation:
The ultimate goal to solve for p is to isolate the variable so we can find out how much it is worth. First, we would subtract 2/5 from each side to get p=2/5+3/5p. Next, I used process of elimination to determine which answer it was. In this case, the answer was p=1.
Answer:
p = 1
Step-by-step explanation:
2/5 + p = 4/5 + 3/5p
p - 3/5p = 4/5 - 2/5 (rearrange)
2/5p = 2/5 (simplify)
p = 1 (solve)
what is the domain y=x+5/x-5
Answers
For the following expression
\(y=\frac{x+5}{x-5}\)is given by any real number except when x=5, because there is an indetermination at this value. So, the domain is
\(x\in(-\infty,5)\cup(5,\infty)\)Find the value of 3a when a = -4.
(b)- 7
(d) -12
(a) 7
(c) 12
Answers
Answer:
(d) -12
Step-by-step explanation:
3a = _____
a = -4
3(-4) = ___
3(-4) = -12
The answer is (d) -12
Consider the original triangle and the scale drawing enlargement. What is the scale factor?
Answers
Answer:
4
Step-by-step explanation:
scale factor = 8/2 = 4
F(x) = -2x^2 + 6x-3, opens (down or up) and has a (maximum or minimum) value
Answers
Answer: D
Step-by-step explanation:
(Using the formula in my attachment)
x^2 − 6x + 19
(x - 3)^2 = x^2 - 6x + 9
9 - e = 19
e = -10
(x - 3)^2 - e
(x - 3)^2 - - 10
(x - 3)^2 + 10
when x - 3 = 0, x = 3
Subsitute 3 into the equation
(3 - 3)^2 + 10
0 + 10
Minimum (3,10) in this case f(3) = 10
In a cookie jar, 1/5 of the cookies are chocolate chip and 1/2 or the rest a peanut butter. What fraction of all the cookies is peanut butter?
Answers
Answer:
If 1/5 are chocolate chip, then 4/5 are not chocolate chip because 1 - 1/5 = 4/5. Half of 4/5 are peanut butter. Half of 4/5 is 2/5, so 2/5 of the cookies are peanut butter.
hope it helps!!!!! :]
Find two numbers whose product is -80
and whose sum is 2.
Answers
Answer:
-10 and 8?
Step-by-step explanation:
Amplitude is ______.
the maximum displacement of a function on a graph
the minimum displacement of a function on a graph
Answers
Amplitude is the maximum displacement of a function on a graph.
What is amplitude?
Amplitude is the maximum displacement of a function on a graph. It refers to the maximum height or distance from the baseline of a wave or oscillation.
It is often used in physics and engineering to describe the strength or size of a signal, vibration, or wave. In simple terms, it can be thought of as the "peak-to-peak" distance of a waveform, or the height of the waveform above and below the baseline.
But the minimum displacement of a function on a graph would typically be referred to as the minimum value or the "valley" of the function.
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which of the values satisfy the following inequality
|x-7.5| ≤ 17
select all that apply.
a. x = 27
b. x = -9
c. x = -10
d. x = 20
Answers
Answer:
So first look at the symbol. It must be less than or equal to 17.
By elimination A is 20.5 which is wrong
B is -16.5 by abs =16.5
C is -17.5 by abs = 17.5
D is 12.5
So B and D are possible solutions..
Which of the following are the coordinates of a rectangle with a length of 8 units and width of 5
Need help asap!
units in the coordinate plane?
A (2, 4), (−6, 4), (2, 0), (−6, 0)
B (3, 7), (−3, 7), (3, 1), (−3, 1)
C (4, 1), (−4, 1), (4, 6), (−4, 6)
D (5, 0), (−2, 0), (5, 5), (−2, 5)
Answer is C
Answers
Answer:
Ans =C(4,1),(-4,1),(4,6),(-4,6)
Does anyone know how to find the area?
Answers
Answer:49
Step-by-step explanation:
A = \(\frac{3+11}{2}\) · 7
= \(\frac{14}{2} \\\) · 7
= 7·7
=49
What is the purpose of data? Answer below.
Answers
The purpose of data is to provide information and insights that can be used to make informed decisions, draw conclusions, and gain knowledge about a particular subject or phenomenon.
Data plays a crucial role in various fields, including science, business, research, healthcare, and everyday life.One primary purpose of data is to describe and understand the world around us.
By collecting and analyzing data, we can identify patterns, trends, and relationships that exist within a dataset. This helps us gain a deeper understanding of complex systems and phenomena.
For example, in scientific research, data is used to study the behavior of natural processes, investigate the effects of interventions, and formulate theories and models.
Data also serves as a foundation for making informed decisions. By examining relevant data, individuals and organizations can assess the potential outcomes of different choices and select the most optimal course of action.
Data-driven decision-making enables organizations to improve efficiency, identify opportunities, mitigate risks, and enhance overall performance. In fields like marketing and finance, data is extensively used for market research, customer segmentation, trend analysis, and financial forecasting.
Furthermore, data is crucial for monitoring and evaluating performance. By collecting data over time, organizations can track progress, measure outcomes, and identify areas for improvement. Data-driven monitoring allows for evidence-based assessments and adjustments to strategies or interventions.
Overall, the purpose of data is to provide reliable information that can be used to enhance understanding, support decision-making, and drive progress in various domains. It empowers individuals and organizations with the ability to derive insights, solve problems, and make meaningful contributions to society.
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A line passes through the points (-1,4) and (4,-2). Find the equation of the line in slope intercept form.
Answers
Answer:
Your Answer mark me as brainlist
Step-by-step explanation:
slope = "rise over run" the difference in y values divided by the difference in x values
= 6/-3 = -2 = m. It's negative because as x increases, y decreases
plug that into the point slope formula, with either point. generally use the most simple point
y-h= m(x-k) where m= -2 and (k,h) = (2,-2)
y+2 = -2(x-2)
simply if you want
Y = -2x +4 -2 = -2x +2
or
2x +y = 2
Write a coordinate proof: Given: Coordinates of triangle DEF, H is the midpoint of DA, G is the midpoint of EA . Prove: Side DG is congruent to side EH Here is the image down below. I have to fill in the blanks with each of the correct choices that are provided down below.
Answers
SOLUTION
Consider the image in the below
From the diagram above,
\(\begin{gathered} H\text{ is the mid point of AD} \\ \text{And } \\ G\text{ is the midpoint of AE} \end{gathered}\)Then we obtain the coordinate of H and G
Using the coordinate of midpoint formula,
\(\begin{gathered} \text{Coordinate of H is } \\ (-\frac{2h+0}{2},\frac{2k+0}{2})=(\frac{-2h}{2},\frac{2k}{2})=(-h,k) \end{gathered}\)Then
\(\begin{gathered} \text{Coordinate of G } \\ (\frac{2h+0}{2},\frac{2k+0}{2})=(\frac{2h}{2},\frac{2k}{2})=(h,k) \end{gathered}\)Then use the distance formula to fined the lenght of |EH| and |DG|
The Distance formula is given by
\(\text{Distance}=\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2}\)Hence
\(\begin{gathered} U\sin g\text{ the coordinatesH= (-h,k) and E= (2h,0) } \\ \text{Then} \\ |EH|=\sqrt[]{(2h-(-h)^2+(0-k)^2} \\ |EH|=\sqrt[]{(3h)^2+(-k)^2} \\ \text{Then } \\ |EH|=\sqrt[]{9h^2+k^2} \end{gathered}\)Then
\(\begin{gathered} \text{ Using the coordinatesG= (h,k) and D=(-2h,0) for |DG|} \\ |DG|\text{ =}\sqrt[]{(-2h-h)^2+(0-k)^2} \\ |DG|=\sqrt[]{(-3h)^2^{}+(-k)^2} \\ \text{hence } \\ |DG|-=\sqrt[]{9h^2+k^2} \end{gathered}\)
Hence
Since we obtain the same expression above
Then
\(\begin{gathered} |EH|=|DG| \\ or \\ |DG|=|EH| \end{gathered}\)therefore
\(|DG|\cong|EH|\)Therefore
Answer: DG is congruent to side EH
The population of a bacteria colony is growing exponentially, doubling every 6 hours. If there are 150 bacteria currently present, how many (to the nearest ten bacteria) will be present in 10 hours
Answers
Answer:
If rounded to the nearest 10 bacteria, then it would be 500 bacteria.
Step-by-step explanation:
First multiply 150 by two in order to get 300, that leaves 4 hours to figure out. From there you can figure out the rest by seeing that 4 is 2/3 of 6. I converted it into the decimal number .66. Multiply 300 by .66 to get 198 and then add it to 300 to get 498. Then just round it up to the nearest 10 bacteria which leaves you with the final answer of 500 bacteria.
1. Mr. C has a square soccer field. The length of the soccer field is 18 feet.
What is the area of the soccer field:,
What is the perimeter of the soccer field
Answers
Answer:
Area = 324ft²
Perimeter = 72ft
Step-by-step explanation:
Area of a square = length²
Area of a square = (18ft)² = 324ft²
Perimeter of a square = 4*length
Perimeter of a square = 4ft*18 = 72ft
If a + b = 3 and ab = 2, find the value of a² + b²
Answers
Answer:
Through observation, a=2, b=1 or vice versa .
Step-by-step explanation:
If a=2 and b=1
a² +b²=?
2² +1² =4+1=5
a²+b²=5
The density of a certain material is such that it weighs 9 pounds per cubic foot of volume. Express this density in grams per quart. Round your answer to the nearest whole number.
Answers
We need to know conversion of units to solve the given problem. The density of the material in grams per quart is 136.35 grams per quart.
We have been given the density of a certain material in pounds per cubic foot of volume. The density is 9 pounds per cubic foot of volume. We need to convert pounds per cubic foot to grams per quart, we need to separately convert pounds to grams and convert cubic foot to quart. Since it is density so we need to divide the value of pound in gram by the value of one cubic foot in quart and multiply the density to this value to get the desired result.
1 pound=453.592 grams
1 cubic foot= 29.94 quart
9 pounds per cubic foot= 9x 453.592/29.94=136.35 grams per quart
Therefore the density of the material in grams per quart is 136.35 grams per quart.
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Alex is driving across the country.He needs to drive 8 hours a day for 15 days in a order to get to his destination. So far, he has drivin 52 hours. How many more hours of driving does alex have
Answers
Answer:
68
Step-by-step explanation:
Probability
See picture attached
Answers
Answer:
The answer is down below
Step-by-step explanation:
G={2,3,4}
W={1,5}
Total cards=1,2,3,4,5
let P(x) be G
Probability of X=G/Total
P(x)=3/5
P(not x)=2/5
X={2,3,4}
not X={1,5}