Thus, the area of triangle EGH = FGH is approximately 0.707 square units.
It has two congruent sides, EF and FG. Since EF and FG are congruent, angles EFG and FEG are congruent by the Isosceles Triangle Theorem. Therefore, the measure of angle EGF is twice the measure of either angle EFG or angle FEG. We know that angle EFG and angle FGH are vertical angles and thus congruent.
Hence, angle EGF is twice angle FGH. Thus, we have two triangles that share an angle (angle G), and the measures of two corresponding angles in each triangle are congruent. Therefore, the two triangles are similar by the Angle-Angle Similarity Theorem. By similarity, we know that corresponding sides are proportional. Hence, we have GH/FG = HG/FE, which implies GH/1 = HG/FE since FG=FE=1.
Therefore, the length of GH is HG/FE, which is equal to 2/√2 or √2. Finally, the area of the triangle is (1/2)1√2, which simplifies to √2/2.
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Solve the inequality:
||3x-4|-5|>1
PLEASE HELP I HAVE MORE QUESTIONS IF YOU ANSWER THIS ONE
For each value of v , determine whether it is a solution to v-36>7.
41: yes or no
38: yes or no
47: yes or no
46: yes or no
Answer:
41: No
38: No
47: Yes
46: Yes
Step-by-step explanation:
Imput the values of V to determine if the statement is true.
41 - 36 IS NOT greater than 7. Meaning the statement is false.
38 - 36 IS NOT greater than 7. Meaning the Statement is false.
47 - 36 IS greater than 7. Meaning thr statement is true.
46 - 36 IS greater than 7. Meaning the statement is true.
a culture contains 10,000 bacteria initially. after an hour the bacteria count is 25,000. (a) find the doubling period. (b) find the number of bacteria after 3 hours.
solve for m - hp = d for p
please actually help this is my first assignment of the year and can’t fail
Solve by finding a common denominator 3/4+1/5 the common denominator is 20 but how do you find the top number?
Answer:
The fractions are 15/20 and 4/20
Step-by-step explanation:
3/4 + 1/5 = 19/20
For example, if you have the fraction 3/4 you would multiply the demominator by 5 to get 20. What you do to the denominator, you have to do to the top (the numerator). Since you multiplied the denominator, 4, by 5 you have 20. Now you have to multiple the numerator by 5, which gives you 15 because 3 x 5= 15. Your final fraction should be 15/20
Do this process to the 1/5 fraction:
1/5
Multiply 5 x 4 to give you 20 since 20 is the common denominator. Now, you have to multiply the numerator, 1, by 4. Whatever you do to the bottom, you do to the top. 1 x 4= 4. Your final fraction should be 4/20
Now sum the fractions up:
15/20 + 4/20 = 19/20
what is 28 percent of 95
Answer:
26
Step-by-step explanation:
Answer:
26.6 brainlist plez
Step-by-step explanation:
3t+3/5 =6 solve for t
Answer:
t=9/5
Step-by-step explanation:
Suppose the number of business majors at liberal arts colleges are normally distributed and have a known population standard deviation of 21 students and an unknown population mean. A random sample of 35 liberal arts colleges is taken and gives a sample mean of 420 business majors. Find the margin of errorfor the confidence interval for the population mean with a 90% confidence level. Round the final answer to two decimal places.
z0.10z0.10 z0.05z0.05 z0.025 z 0.025 z0.01z0.01 z0.005 z 0.005 1.282 1.645 1.960 2.326 2.576
you may use a calculator or the common z values above. round the final answer to two decimal places. provide your answer below:
The margin of error for the 90% confidence interval is 5.84
To find the margin of error for a 90% confidence interval, we will use the given information and the z-score table provided.
1. Identify the z-score for a 90% confidence level: Since the confidence level is 90%, there is 10% left in the tails. Divide this by 2 to find the area in each tail, which is 5%. Look for the z-score associated with 0.05 in the table provided. The z-score is 1.645.
2. Find the standard error: The standard error is calculated as the population standard deviation (σ) divided by the square root of the sample size (n). In this case, σ = 21 and n = 35.
Standard Error (SE) = σ / √n = 21 / √35 ≈ 3.55
3. Calculate the margin of error: The margin of error (ME) is calculated by multiplying the z-score by the standard error.
ME = z-score * SE = 1.645 * 3.55 ≈ 5.84
4. Round the final answer to two decimal places: 5.84
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.
Johnny is solving the following word problem with a classmate.Elyse is 26 years younger than her mom. If Elyse’s mom is 32, how old is Elyse?The students find the solution to be 26. How could Johnny and his classmate check for reasonableness?
Please answer 3 but if all are anwsered I !!will mark brainliest!!
Answer:
1- $24.90
2- 60
2- $2.04
4- $1476
5- $77
Step-by-step explanation:
1- 6 x 3.80 = 22.8
22.8 + 3.10 = 25.90
2- 1 hour = 2 thirty minutes
15 x 4 = 60
3- 3.4 x .60 =$2.04
4- 6 x 3 = 18
18 x 12 = 216
15 x 7 = 105
105 x 12 = 1260
1260 + 216 = 1476
5- 5 x 14 = 70
70 + 7 = 77
Answer:
3) 3.80*6+2.10 = $24.90
4) 15° in 30 mins, which means 30° in an hour. so in two hours. 2x30 = 60°
5) $0.6/lb*3.4lb = $2.04
6) 6*10+7*9 = 60+63=123sqft*$12/sqft= $1,476
7)$14/hr*5.5hr =$77.00
Step-by-step explanation:
write a real world deseription for the Algebraic expression 4.95x + 3
Answer:
You are paying 3$ already for a drink and for each sandwich (x) you buy is 4.95$
Step-by-step explanation:
You are paying 3$ already for a drink and for each sandwich (x) you buy is 4.95$
So you pay 4.95x + 3 for your drink and x sandwiches
The algebraic expression 4.95x + 3 can be described as the total cost of a product that has a fixed price of 3 dollars, and an additional price of 4.95 dollars per unit of the product. In this case, x represents the number of units purchased, and the expression represents the total cost of the purchase.
y=3(x-4)^2 +7 in standard form
hi i need help with this
Answer:
difficult
Step-by-step explanation:
Test 4,580 for divisibility by 2, 3, 5, 9, and 10.
2 and 5
5 and 10
2, 3, 5, and 10
2, 5, and 10
Answer:
Find the X and Y Intercepts 3x-5y=-20
Find the X and Y Intercepts 3x-5y=-20. 3x−5y=−20 3 x - 5 y = - 20. Find the x-intercepts. Tap for more steps
Step-by-step explanation:
Craig just purchased a new car. He financed $45000 and must pay it back over 5 years with 11% interest.
How much will he have paid for his car, including interest, after 5 years?
Answer:
$49950
Step-by-step explanation:
you do 45000(.11) which equals 4950. and then you add 4,950 to 45000, and then you get your answer
given the functions f(x)=1x−2 1 and g(x)=1x 5 9. which statement describes the transformation of the graph of function f onto the graph of function g?
A.The graph shifts 8 units left and 7 units up.
B.The graph shifts 8 units right and 7 units down.
C.The graph shifts 7 units left and 8 units up.
D.The graph shifts 7 units right and 8 units down.
The correct answer is option (D) "The graph shifts 7 units right and 8 units down".Explanation:To solve the given question, we need to use the rules for vertical and horizontal shifts, which are as follows:
Vertical Shift: y=f(x)+a moves the graph of f(x) upward if a > 0 and downward if a < 0.Horizontal Shift: y=f(x+a) moves the graph of f(x) left if a > 0 and right if a < 0.Now, let's transform the function f(x) into function g(x) and determine the shift required.The transformation of f(x) to g(x) is: g(x) = f(x - a) + bwhere a = horizontal shift and b = vertical shiftThe equation of the given functions is:f(x) = 1/(x − 2) and g(x) = 1/(x^(5/9))Let's set the equation of function f(x) in the standard form:y = 1/(x - 2)and the equation of function g(x) in the standard form:y = 1/(x^(5/9))
Now, we can observe that:To transform the graph of f(x) onto the graph of g(x), we need to shift the graph of f(x) right by 7 units and down by 8 units, which is given in option (D).Hence, the correct option is (D) "The graph shifts 7 units right and 8 units down".
The graph shifts 7 units right and 8 units down is the statement that describes the transformation of the graph of function f onto the graph of function g.Conclusion:Thus, we have determined the correct answer with an explanation and concluded that the correct option is (D) "The graph shifts 7 units right and 8 units down".
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Multiplying and Dividing Expressions with Radicals
Exercises 1–5
Simplify as much as possible.
1. √17 =
2. √510 =
3. √4x
1. Using Radicals the number √17 has a value of 4.123.
2. √510 =260100.
3. √4x = 2√x.
Simply multiply or divide the numbers at each point where it makes sense to multiply or divide a function. If the functions are specified by formulas, you can simply multiply or divide the formulas (inserting numbers before or after is irrelevant).
When multiplying or dividing, it is standard practise for the final result to contain the same number of significant figures as the number with the fewest significant figures. The division of two numbers can be calculated using the following formula: Dividend Divisor = Quotient + Remainder. The number that is being divided in this case is known as the dividend.
The number that divides the number (dividend) into equal parts is known as the divisor.
1. \(\sqrt{17}\\\) = 4.123 (The values of the number √17 is 4.123.)
2. √510
= 510^2
=(500+10)^2
=500^2+10^2+2×500×10
=250000+100+10000
=260100.
3. √4x = 2√x.
because 4 = 2*2
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If RSTU is a rhombus, find m∠UTS.
The measure m∠UTS is approximately 90 degrees.
What is rhombus and some of its properties?Rhombus is a parallelogram whose all sides are of equal lengths.
Its diagonals are perpendicular to each other and they cut each other in half( thus, they're perpendicular bisector of each other).
Its vertex angles are bisected by its diagonals.
The triangles on either side of the diagonals are isosceles and congruent.
We are given that;
Angle VUR=(10x-23)degree
Angle TUV=(3x+19)degree
Now,
Since RSTU is a rhombus, its diagonals are perpendicular bisectors of each other, which means that angle VUT is a right angle. Therefore, we have:
m∠VUR + m∠TUV + m∠VUT = 180°
Substituting the given values, we get:
(10x - 23) + (3x + 19) + 90 = 180
13x + 86 = 180
13x = 94
x = 7.23 (rounded to two decimal places)
Now, we can find m∠UTS as follows:
m∠UTS = m∠VUR + m∠TUV
Substituting the value of x, we get:
m∠UTS = (10x - 23) + (3x + 19)
m∠UTS = (10 × 7.23 - 23) + (3 × 7.23 + 19)
m∠UTS = 72.3 - 23 + 21.69 + 19
m∠UTS = 89.99
Therefore, the answer of the given rhombus will be 90 degrees.
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Which is a coefficient in the expression below?
(r – 2) + s(10 – t)
Answer:
-2
Step-by-step explanation:
coefficient is the number without a letter next to it
7/9 × 27/5 whats the answer?
Answer:
21/5 when simplified
Answer:
4 1/5
Step-by-step explanation: 6 20 5 58
7/9 × 27/5 = (7×27) / (9 × 5)
= 189 / 45 divide numerator and denominator by 3
= 63 / 15 simplify
= 4 3/15
= 4 1/5
I need help with this
========================================================
Explanation:
Y is between X and Z (not necessarily at the midpoint). This means the three points are on the same line. Going from left to right we have X, Y and Z in that exact order.
Put another way, segment XZ is cut into smaller pieces XY and YZ.
The smaller pieces XY and YZ add back up to the largest segment XZ.
--------------
XY + YZ = XZ
( XY ) + ( YZ ) = XZ
( 7a ) + ( 5a ) = 6a+24 ..... substitution
7a+5a = 6a+24
12a = 6a+24
12a-6a = 24 ....... subtracting 6a from both sides
6a = 24
a = 24/6 ....... dividing both sides by 6
a = 4 is the first answer we're after
-------------
Use this value of 'a' to find the length of each segment
XY = 7a = 7*4 = 28
YZ = 5a = 5*4 = 20 is the second answer we want
XZ = 6a+24 = 6*4+24 = 48
Note how XY+YZ = 28+20 = 48 to match with XZ = 48 we got in the previous line above.
a 60-year-old female is diagnosed with hyperkalemia. which symptom would most likely be observed?
Hyperkalemia is a medical condition that refers to an elevated level of potassium in the blood.
This condition can be caused by several factors, including kidney disease, certain medications, and hormone imbalances. Symptoms of hyperkalemia can range from mild to severe, depending on the level of potassium in the blood.
In a 60-year-old female diagnosed with hyperkalemia, the most likely symptom that would be observed is muscle weakness. This is because high levels of potassium can interfere with the normal functioning of muscles, leading to weakness, fatigue, and even paralysis in severe cases.
Other symptoms that may be observed in hyperkalemia include nausea, vomiting, irregular heartbeat, and numbness or tingling in the extremities. Treatment of hyperkalemia typically involves addressing the underlying cause of the condition, as well as managing symptoms through medication and lifestyle changes.
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there are 6 people on the ballot for regional judges. voters can vote for any 4. voters can choose to vote for 0, 1, 2, 3, or 4 judges. in how many different ways can a person vote?
There are 57 different ways a person can vote for the regional judges.
To determine the number of different ways a person can vote for regional judges, we can use the concept of combinations. In this case, we want to find the number of ways to choose a certain number of judges from a total of 6 candidates.
Since voters can choose to vote for 0, 1, 2, 3, or 4 judges, we need to find the sum of all the possible combinations for each number of judges.
For choosing 0 judges, there is only one possible combination (choosing none).
For choosing 1 judge, there are 6 possible combinations (choosing one out of the six candidates).
For choosing 2 judges, there are \(C(6, 2) = 15\) possible combinations. This is calculated using the combination formula, which \(C(n, r)\)represents the number of combinations of choosing r items from a set of n items.
For choosing 3 judges, there are \(C(6, 3) = 20\) possible combinations.
For choosing 4 judges, there are \(C(6, 4) = 15\) possible combinations.
To find the total number of different ways a person can vote, we sum up the number of combinations for each scenario:
\(1 + 6 + 15 + 20 + 15 = 57\)
Therefore, there are 57 different ways a person can vote for the regional judges.
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Find the equation of the line shown
Answer:
y=1/2x+0
Step-by-step explanation:
Since the slope is 1/2 and it starts at the origin, the b value is 0.
Answer:
1/2x
Step-by-step explanation:
a region is bounded by two concentric circles, as shown by the shaded region in the figure above. the radius of the outer circle, rr, is increasing at a constant rate of 22 inches per second. the radius of the inner circle, rr, is decreasing at a constant rate of 11 inch per second. what is the rate of change, in square inches per second, of the area of the region at the instant when rr is 44 inches and rr is 33 inches?
The rate of change, in square inches per second, of the area of the region at the instant when R is 44 inches and r is 33 inches is
8363 square inches
How to find the rate of changeThe rate of change is the derivative, the rate of change is calculated by differentiation the area
formula for area of concentric circle is given by
Area A = π(R^2 - r^2) =
R = radius of the inner circle
r = radius of the outer circle
δA/δt = δA/δRδr * δRδr/δt
δA/δt = π * (2RδR/δt - 2rδr/δt)
δA/δt = π * 2(R * δR/δt - r * δr/δt)
where R = 44 and δR/δt = 22
r = 33 and δr/δt = -11
= 2π(44 * 22 - 33 * -11)
= 2π (968 - -363)
= 2π (1331)
= 2662π
= 8362.9196 square inches
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‼️‼️‼️help me answer ‼️‼️‼️‼️‼️‼️‼️
Answer:
1. Is b
2. Is c
3.is a
Step-by-step explanation:
Brainliest pls
Answer:
number 10 is $60 and 11 is 8 hours
Step-by-step explanation:
i can only help you on 10 and 11
A group of 45 students went to the space museum. Tickets cost $11 for each
student. What was the total cost for all of the tickets?
$56
))
$90
1)) $490
1)
$495
Done
8th Grade Science
your answer is 495 dollars. as 45 times 11 equals 495 being the 45 is students and 11 is price
What number is the smallest?
-1 or -0.5
A, B and D are points on the circumference of a circle, centre O.
BOD is a diameter of the circle.
BC and AC are tangents to the circle.
Angle OCB =34.
Work out the size of angle DOA.
Answer:
Step-by-step explanation:
A tangent makes a 90° angle to the circle.
∠BOC = 180°-90°-34° = 56°
△AOC is congruent to △BOC, so ∠AOC = 56°
∠DOA = 180°-56°-56° = 68°
The size of the angle DOA is 68°
What is the tangent of the circle?"It is the line which intersects the circle exactly at one point."
For given example,
BC and AC are tangents to the circle.
∠OCB = 34°
As, OC is the angle bisector for ∠ACB
⇒ ∠OCB = ∠OCA
⇒ ∠OCA = 34°
⇒ ∠ACB = ∠OCB + ∠OCA
⇒ ∠ACB = 34° + 34°
⇒ ∠ACB = 68°
We know, the tangent to a circle is perpendicular to the radius of the circle.
⇒ CB ⊥ OB
⇒ ∠OBC = 90°
and CA ⊥ OA
⇒ ∠OAC = 90°
We know, the sum of all angles of quadrilateral is 360°.
For quadrilateral ACBO,
⇒ ∠OAC + ∠ACB + ∠OBC + ∠BOA = 360°
⇒ 90° + 68° + 90° + ∠BOA = 360°
⇒ ∠BOA = 112°
We know, the angle subtended by semicircle is 180°.
⇒ ∠AOB + ∠DOA = 180°
⇒ 112° + ∠DOA = 180°
⇒ ∠DOA = 68°
Therefore, the size of the angle DOA is 68°
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2.2 Your friend Sam, mistakenly wrote down the multiples of 10 as: 1; 2; 5; and 10.
Write down word for word how you will explain to Sam that those are not correct and
how he should go about to find the multiples.
(4)