Answer: 11.1 m
Step-by-step explanation:
This can be solved by the Pythagorean theorem where;
c² = a² + b²
c is the hypotenuse which is the distance from the top of the building to the tip of the shadow.
a is the height
c is the length
32² = 30² + b²
b² = 32² - 30²
b² = 1,024 - 900
b² = 124
b = √124
b = 11.1 m
a red die and a blue die are rolled. you win or lose money depending on the sum of the values of the two dice.if the sum is 5, 6, or 8, you win $5.if the sum is 4, 9, or 10, you win $2.if the sum is any other value (2, 3, 7, 11, or 12), you lose $4.let x be a random variable that corresponds to your net winnings in dollars. what is the expected value of x?
The expected value of your net winnings, x, is $1.39.
To find the expected value of x (net winnings), first calculate the probability of each outcome and multiply it by the respective winnings. There are 6 sides on each die, so there are 36 possible outcomes (6 sides on red die * 6 sides on blue die).
1. Winning $5: Sum of 5, 6, or 8 has 4+5+5 = 14 successful outcomes. Probability = 14/36.
2. Winning $2: Sum of 4, 9, or 10 has 3+4+3 = 10 successful outcomes. Probability = 10/36.
3. Losing $4: Sum of 2, 3, 7, 11, or 12 has 1+2+6+2+1 = 12 successful outcomes. Probability = 12/36.
Now, multiply each probability by its respective winnings/loss and sum them to find the expected value of x:
E(x) = ($5 * 14/36) + ($2 * 10/36) + (-$4 * 12/36) = $1.39
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How is a treaty defined?.
A treaty is defined as a peaceful accord closed between States written down and represented by worldwide regulation, whether typified in a solitary instrument or in at least two related instruments and whatever its specific assignment.
Treaty is an exceptionally misconstrued term, so we really want a meaning of deal that is exact and definitive. The definition that makes reference is the one tracked down in the Vienna Show on the Law of Deals of 1969.
Presently, there is likewise a Vienna Show of 1986 which manages understanding among States and worldwide associations, however for the essential definition manages arrangement between States. The necessities are:
the understanding should be in writing the arrangement should be represented by global regulation, and that implies that it makes regulations and commitments under worldwide lawthe name (assignment) of the understanding isn't significant (an "Trade of Notes" likely could be a treaty) the structure might be that of at least one related reports, for instance a trade of letters (two records) can frame a solitary deal.To know more about treaty, visit here:
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how do i turn -187/2 into a decimal? :) thxs for helping if u do btw
Answer:
-93.5
Step-by-step explanation:
Divide -187 by 2
Suppose that the weights of 2700 registered female Great Danes in the United States are
distributed normally with a mean of 133 lb. and a standard deviation of 6.4 lb.
Approximately how many of the Great Danes weigh less than 126.6 lbs.? SHOW WORK!
Answer:
To solve this problem, we can use the cumulative distribution function (CDF) of the normal distribution.Given:
Mean (μ) = 133 lb
Standard Deviation (σ) = 6.4 lb
Weight (X) = 126.6 lb
We can use the formula for the standard normal distribution to calculate the z-score:
z = (X - μ) / σ
Plugging in the values, we get:z = (126.6 - 133) / 6.4 = -0.984375
Now, we can use a standard normal distribution table or a calculator with a built-in normal distribution function to find the cumulative probability (P) associated with the z-score of -0.984375.
Using a standard normal distribution table, we find that the cumulative probability for a z-score of -0.984375 is approximately 0.1611.
So, approximately 16.11% of the registered female Great Danes in the United States weigh less than 126.6 lbs.
Step-by-step explanation:
5 weeks 4 days -3 weeks 6 days. _____________
Answer:
1 week 8 days
that's the pattern
subtract 2 weeks add 2 days
brainliest would be nice
have a nice day
Step-by-step explanation:
Answer:
8 weeks
Step-by-step explanation:
What is the missing reason for the 3rd step in the proof below?
A. If two lines are parallel, then alternate interior angles are congruent
B. Corresponding angles theorem
C. Vertical angles are congruent
D. If two lines are parallel, then alternate exterior angles are congruent
Answer:
The missing reason for the 3rd step in the proof below is;
C. Vertical angles are congruent
Step-by-step explanation:
In the two column proof, we have;
Statement \({}\) Reason
1. AB ║ CD \({}\) 1. Given
2. ∠3 ≅ ∠7 \({}\) 2. Corresponding angles theorem
3. ∠7 ≅ ∠6 \({}\) 3. Vertical angles are congruent
4. m∠3 = m∠7 \({}\) 4. Definition of congruence
m∠7 = m∠6
5. m∠3 = m∠6 \({}\) 5. Substitution
6. m∠3 ≅ m∠6 \({}\) 6. Definition of congruence
Vertical angles are the angles formed on the opposite sides of two straight lines when they cross each other
Other vertical angles in the diagram are;
1) ∠5 and ∠8
2) ∠1 and ∠4
3) ∠2 and ∠3
Tracey paid $155 for an item that was originally priced at $520. What percent of the original price did Tracey pay? Around to the nearest tenth of a percent
Tracey paid approximately 29.8% of the original price for the item.
To find the percentage of the original price that Tracey paid, we can use the formula:
Percentage = (Amount Paid / Original Price) * 100
Let's plug in the given values:
Percentage = (155 / 520) * 100
Percentage = 0.2980769230769231 * 100
Percentage ≈ 29.8%
So, Tracey paid approximately 29.8% of the original price for the item.
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Solve the two-step equation and identify the steps. 1. 4x 6. 1 = –7. 9 1. The first step is to on both sides. 2. The second step is to on both sides. The solution is x =.
The solution of the given equation will be X=-10
What will be the solution to the given equation?
It is given that
\(1.4x+6.1=-7.9\)
Now by taking 6.1 to the right of the equal sign it will become negative
\(1.4x=-7.9-6.1\)
Now the equation will become
\(1.4x=-14\)
\(x=\dfrac{-14}{1.4}\)
\(x=-10\)
Thus the solution of the given equation will be X=-10
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What is the length of JK¯¯¯¯¯, to the nearest tenth of a millimeter? 4.5 mm 5.6 mm 8.3 mm 19.9 mm A horizontally-aligned scalene triangle J K L. Side J L is labeled as 3 millimeters. Side L K is labeled as 5 millimeters. Angle L is labeled as 62 degrees.
Answer:
5 = side a
3 = side c
angle B = 62 degrees
JK is side b
Use the Law of Cosines to find the length of side b.
b^2 = a^2 + c^2 − 2ac cos(B)
b^2 = (5^2 + 3^2) − ( 2 x 5 x 3) cos(62°)
b^2 = (25 + 9) − 30 x 0.469
b^2 = 34 - 30 x 0.469
b^2 = 34 - 14.084
b^2 = 19.916
b = √19.916
b = 4.463
Rounded to the nearest tenth is 4.5 mm.
Hope this helps!
Step-by-step explanation:
Answer:
4.5 mm
Step-by-step explanation:
Is it possible to construct a triangle with sides 4 cm 5 cm and 4.5 cm justify?
Yes is it possible to construct a triangle with sides 4 cm 5 cm and 4.5 cm
What is Triangle?
A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.
Concept:
Yes. It is possible to construct a triangle with lengths of its sides 4 cm,5 cm and 4.5 cm because the sum of two sides of a triangle is greater than the third side.
A triangle cannot be constructed if the two sides' sum equals the third side because then the two sides will also be the third side. As a result, for the triangle to be created, the sum of the two sides must be greater than the third side.
Any two triangle sides' lengths added together always equal the third side.
The triangle inequality can be used to calculate the best upper estimate of the size of the sum of two numbers in terms of the sizes of the separate numbers in mathematical analysis. if and only if the vector y is a nonnegative scalar of the vector x.
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Lily has 76 stars brandon has 100 times more how many stars does Brandon have
helpppp pleaseeeeeeeeeee
Answer:
y=5
Step-by-step explanation:
if the slope is 0, its just a horizontal line passing through 7,5
have a good day lovely :)
type of item counts per minute (cpm) background source counts per minute (cpm) type of radiation source 1 fiesta-ware plate 167 alpha, beta, and gamma source 2 instant coffee 34 beta source 3 salt substitute 26 beta source 4 smoke alarm 31 alpha source 5 cream of tartar 33 beta (1pts) which is most radioactive?
The most radioactive item among the given sources is the fiesta-ware plate with 167 counts per minute (cpm). It emits alpha, beta, and gamma radiation.
The fiesta-ware plate has the highest counts per minute (cpm) with 167, indicating it has the highest level of radiation. It also emits alpha, beta, and gamma radiation, which are all types of radiation. The other sources have lower cpm values, with instant coffee at 34, salt substitute at 26, smoke alarm at 31, and cream of tartar at 33. Source 2 and Source 3 emit beta radiation, while Source 4 emits alpha radiation. Therefore, the fiesta-ware plate is the most radioactive item in the list.
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Despite a wide variety of workplaces for those working in Human Services, all workplaces include
comfortable areas for interactions amongst people.
a variety of medical testing equipment.
desks where clients can sit across from the worker.
toys and exercise equipment for children.
Answer:
a variety of medical testing equipment.
Step-by-step explanation:
Answer:
c hope this helps if wrong please tell me
Step-by-step explanation:
PLEASE HELP IM DOING IT RIGHT NOW
Answer:
To find the product of 568.32 and \(10^{4}\), move the decimal point in 568.32 4 places to the right because \(10^{4}\) has 4 zeros.
Step-by-step explanation:
\(10^{4}\) = 10000
568.32 · 10000 = 5683200
the decimal point moved 4 places to the right because 10000 has 4 zeros.
hope this helps!
the straight line L has the equation 4y=5x+3. Point A has the coordinates (3,-2) Find the equation of the line straight line that is perpendicular to L and passes through A. Write your answer in the form y-mx+c where m and c are decimals or fractions {3 marks}
Answer:
y = - \(\frac{4}{5}\) x + \(\frac{2}{5}\)
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4
y = \(\frac{5}{4}\) x + \(\frac{3}{4}\) ← in slope- intercept form
with slope m = \(\frac{5}{4}\)
Given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{\frac{5}{4} }\) = - \(\frac{4}{5}\) , thus
y = - \(\frac{4}{5}\) x + c ← is the partial equation
To find c substitute (3, - 2) into the partial equation
- 2 = - \(\frac{12}{5}\) + c ⇒ c = - 2 + \(\frac{12}{5}\) = \(\frac{2}{5}\)
y = - \(\frac{4}{5}\) x + \(\frac{2}{5}\) ← equation of perpendicular line
Find the length x. .
Answer:
6.5
Step-by-step explanation:
Shawn is typing a paper for class. He can type 1 2/7 pages in 1/3 of an hour. How many pages can Shawn type in one hour? A. B. C. D.
Answer:
5 1/7 pages in one hour. And what does "A.B.C.D." Mean?
Step-by-step explanation:
the power to which a number or expression is raised
The power to which a number or expression is raised is called the exponent.
1. An exponent is a mathematical notation that represents the power to which a number or expression is raised. It is written as a superscript number or variable placed above and to the right of the base number or expression.
2. The base number or expression is the number or expression that is being multiplied repeatedly by itself, raised to the power of the exponent.
3. The exponent tells us how many times the base number or expression should be multiplied by itself. For example, in the expression \(2^3\), the base is 2 and the exponent is 3. This means that 2 should be multiplied by itself three times: 2 * 2 * 2 = 8.
4. The exponent can be a positive whole number, a negative number, zero, or a fraction. Each of these cases has different interpretations:
- Positive exponent: Indicates repeated multiplication. For example, \(2^4\)means 2 multiplied by itself four times.
- Negative exponent: Indicates the reciprocal of the base raised to the positive exponent. For example, \(2^{-3\) means 1 divided by \(2^3\).
- Zero exponent: Always equals 1. For example, \(2^0\) = 1.
- Fractional exponent: Represents a root. For example, \(4^{(1/2)\)represents the square root of 4.
5. Exponents follow certain mathematical properties, such as the product rule \((a^m * a^n = a^{(m+n)})\), the quotient rule \((a^m / a^n = a^{(m-n)})\), and the power rule \(((a^m)^n = a^{(m*n)})\).
Remember to use these rules and definitions to correctly interpret and evaluate expressions involving exponents.
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Random question anybody answer i give brainliest
Answer:
Are you ok
Step-by-step explanation:
brainliest
HELP
H E L P !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
subject?
Step-by-step explanation:
Left on together, the cold and hot water faucets of a certain bathtub take 4 minutes to fill the tub. If it takes the hot water faucet 9 minutes to fill the tub by
itself, how long will it take the cold water faucet to fill the tub on its own?
O
Do not do any rounding.
This query relates to prices. Let's use the rate for a cold tap to represent Rc and hot water to represent Rh.
What is meant by denominator?The lowest number in a fraction, or denominator, in mathematics indicates the number of equal pieces into which an object is divided. It acts as the fraction's divisor. In this case, the denominator is 4, indicating that there are four pieces in total. When a fraction has a denominator, which is always the lowest number, we can refer to it as the fraction's divisor. The quantity into which an object is divided into equal parts is specified.Therefore,
Since R = V/t, where t is the fill-in time, determines the rate at which the volume V tab is filled. The following can be written for both of them:
Rc = V/17
Rh = V/t
Rc + Rh = V/7
where t is the time that we need to find.
V/17 + V/t = V/7
Divide both sides by V to get:
1/17 + 1/t = 1/7
Rearrange:
1/t = 1/7 - 1/17
Bring to common denominator:
1/t = (17 - 7)/(7*17) = 10/119
Take an inverse:
t = 119/10 = 11.9 minutes.
The complete question is?
Left on together, the cold and hot water faucets of a certain bathtub take 7 minutes to fill the tub. If it takes the cold water faucet 17 minutes to fill t?
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Can someone help me on this mess...
Answer:
sas
Step-by-step explanation:
Answer:
one attachment ex picture
The measures of two interior angles of a triangle are 108° and 54°. What is the measure of the third angle?
A. 18°
B. 38°
C. 54°
D. 108°
Answer:
Answer is 18 degree as per the question
Answer: A. 18°
Step-by-step explanation:
Your formula is 108°+54°+X=180°
To find X, add 108° & 54°. The sum is 162°.
Next you need to subtract your sum from 180°.
180°-162°=18°
X=18°
Jonah bought 3 packages of hot dogs and 2 packages of hot dog buns and paid $21.90. He went back and purchased 2 more packages of hot dogs and 5 more packages of hot dog buns and paid $23.40. ASSUMMING THERE WAS NO CHANGE IN THE INDIVIDUAL COST OF EACH ITEM:
What is the cost per package of hot dogs and hot dog buns?
IT IS NOT $7.30 AND $3.65!!!
Answer:
b = $2.40
d = $5.70
Step-by-step explanation:
d = hot dog and b = hot dog buns
Equations:
2d + 5b = $23.40
3d + 2b = $21.90
-------------------------------subtract these two equations
-d + 3b = $1.50
3b - $1.50 = d
Substitute:
3d + 2b = $21.90
3(3b - $1.50) + 2b = $21.90
9b - $4.50 + 2= $21.90
11b = 26.40
b = $2.40
Substitute again but this time with b:
3d + 2b = $21.90
3d + 2($2.40) = $21.90
3d + $4.80 = $21.90
3d = $21.90
d = $5.70
2/5÷3/4 what’s the answer ?
Answer:
8/15
Step-by-step explanation:
dividing fractions you must take the reciprocal of the second fraction and then multiply it by the first fraction leaving us with
2/5 x 4/3=
8/15
Find the derivative of the following function. f(x)=6x^4 −38x+e^3 : f' (x)=__
The derivative of f(x) is:
f'(x) = 24x^3 - 38
To find the derivative of the function f(x) = 6x^4 - 38x + e^3, we differentiate each term separately using the rules of differentiation.
The derivative of 6x^4 with respect to x is:
f'(x) = 4 * 6x^3 = 24x^3
The derivative of -38x with respect to x is:
f'(x) = -38
The derivative of e^3 with respect to x is:
f'(x) = 0
Putting it all together, the derivative of f(x) is:
f'(x) = 24x^3 - 38
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MARK YOU BRAINLIST It takes Pervis 20 minutes to ride his bicycle 1.5 miles to school each day. How far can Pervis ride in one hour if he continues to travel at this speed?
A. 4.5 miles
B. 7.50 miles
C. 0.4 miles
D. 5.625 miles
Answer:
4.5 miles
Step-by-step explanation:
so basically 1 hour equals 60 minutes so we divide 60 by 20 because he can ride 1.5 miles in 20 minutes. so 60/20 is 3 and now all we do is multiply 1.5 by 3 which gives us 4.5.
PLEASE HELP ME ASAP!
Answer:
B
Step-by-step explanation:
because its collecting the data, asking the 6th graders how they get to school
Mr. Hart asked students to find the volume of the triangular prism below. Which student wrote the correct expression for the value of B, the area of the base?
Answer:
Omar
Step-by-step explanation:
Given
See attachment for prism
Required
Whose expression is correct
The base of the attached prism is a triangle that has the following dimension.
\(Base =7cm\)
\(Height = 24cm\)
So, the area is:
\(Area = \frac{1}{2} * Base * Height\)
\(Area = \frac{1}{2} * 7 * 24\)
Comparing the expressions of Omar and Kari, we can conclude that Omar is correct