Answer:
B for both
Step-by-step explanation:
hope this helps :D ^^
Anna and Veronica are on the opposite sides of a tower of 160 meters height. They measure the angle of elevation of the top of the tower as 40° and 55° respectively. Find the distance between the two friends.
Answer: The distance between the girls is 362.8 meters.
Step-by-step explanation:
So we have two triangle rectangles that have a cathetus in common, with a length of 160 meters.
The adjacent angle to this cathetus is 40° for Anna, then the opposite cathetus (the distance between Anna and the tower) can be obtained with the relationship:
Tan(A) = opposite cath/adjacent cath.
Tan(40°) = X/160m
Tan(40°)*160m = 134.3 m
Now, we can do the same thing for Veronica, but in this case the angle adjacent to the tower is 55°
So we have:
Tan(55°) = X/160m
Tan(55°)*160m = X = 228.5 m
And we know that the girls are in opposite sides of the tower, so the distance between the girls is equal to the sum of the distance between each girl and the tower, then the distance between the girls is:
Dist = 228.5m + 134.3m = 362.8m
Draw a number line diagram and write an expression to represent this situation: “On Tuesday at lunchtime, it was 29^∘C. By sunset, the temperature had dropped to 16^∘C.”
Answer:
not you cheating Maddison (its kaliya)
Step-by-step explanation:
but the answer is the temperature dropped 15.6 degrees from the high that day which was 8 degrees
so the sum is: 8-15.6= -7.6
And that means the low temperature on Tuesday night was - 7.6 degrees
The number line representation of this situation is illustrated in the image.
What is a number line?A number line is a one-dimensional horizontal line where we can represent any real number. The origin of the number line is represented by zero left to it are all negative real numbers and right to it are all positive real numbers.
Given, On Tuesday at lunchtime, it was 29^∘C. By sunset, the temperature had dropped to 16^∘C.
The number line representation of this situation is illustrated in the image.
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A band marches in the African American Day Parade in New York City. The band marches 800 meters every 15 minutes. At this rate, how many kilometers does the band march in 1 hour?
The band will march 3.2 kilometers at the same rate.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given that,
800 meters for every 15 minutes
800 meters ⇔ 15 minutes
Multiply 4 by both sides
3200 meters ⇔ 60 minutes
Now,
60 minutes = 1 hour
And,
Since 1000 meter = 1 kilometer ⇒ 3200 meter = 3.2 kilometer.
So,
1 hour ⇔ 3.2-kilometer.
Hence "The band will march 3.2 kilometers at the same rate".
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Can someone please help me match the any quality with his graph
From the given figure we can see a vertical line intersected the x-axis at point (2, 0)
Since the equation of the vertical line that passes through the point (a, b) is
\(x=a\)Where a is the x-coordinate of any point on the line
Then the equation of the given line that passes through the point (2, 0) is
\(x=2\)Since the line is solid and the shading area is right the line, then
The sign of inequality should be >=
Then the inequality that represented the line is
\(x\ge2\)Ellen has 25 hair clips seven of them are blue and the rest are purple what percent of the hair clips were blue
it takes 8 blocks with a side lengths of one fourths meter to fill a rectangular The rectangular prism has a volume of either one eights one fourths half or one
cubic meter.
The volume of the rectangular prism is 8 cubic meters when it takes 8 blocks with a side lengths of one fourths meter to fill a rectangular prism.
If it takes 8 blocks with a side length of one fourths meter to fill a rectangular prism, we can assume that the volume of each block is:
\((1/4)^3 = 1/64m^3\)
To find the volume of the rectangular prism, we need to know its dimensions. We can express its volume as one of the given options:
One eights cubic meters: This means the volume is 1/8 cubic meters. We can find the number of blocks needed to fill this volume by dividing the total volume by the volume of each block:
(1/8) ÷ (1/64) = 8 blocks
This doesn't match the given information, since we were told that it takes 8 blocks to fill the prism, not that the volume of the prism is 8 times the volume of a block.
One fourths cubic meters: This means the volume is 1/4 cubic meters. We can find the number of blocks needed to fill this volume in the same way:
(1/4) ÷ (1/64) = 16 blocks
This also doesn't match the given information.
Half cubic meters: This means the volume is 1/2 cubic meters. We can find the number of blocks needed to fill this volume:
(1/2) ÷ (1/64) = 32 blocks
Since it takes 8 blocks to fill the prism, this option doesn't match either.
One cubic meter: This means the volume is 1 cubic meter. We can find the number of blocks needed to fill this volume:
1 ÷ (1/64) = 64 blocks
This matches the given information, since it takes 8 blocks to fill the prism, which means there are 8 layers of 8 blocks each. Therefore, the dimensions of the prism are:
length = 8 × (1/4) = 2 meters
width = 8 × (1/4) = 2 meters
height = 8 × (1/4) = 2 meters
So the volume of the rectangular prism is:
volume = length × width × height = 2 × 2 × 2 = 8 cubic meters.
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3. On a circle of un-specified radius \( r \), an angle of \( 3.8 \) radians subtends a sector with area \( 47.5 \) square feet. What is the value of \( r \) ? You must write down the work leading to
The value of \( r \) is approximately 12.56 feet.
To find the value of \( r \), we can use the formula for the area of a sector of a circle. The formula is given by:
\[ \text{Area of sector} = \frac{\text{angle}}{2\pi} \times \pi r^2 \]
In this case, the angle is given as \( 3.8 \) radians, and the area of the sector is given as \( 47.5 \) square feet. We can substitute these values into the formula and solve for \( r \).
\[ 47.5 = \frac{3.8}{2\pi} \times \pi r^2 \]
First, we simplify the equation by canceling out the common factors of \( \pi \).
\[ 47.5 = \frac{3.8}{2} \times r^2 \]
Next, we can multiply both sides of the equation by \( \frac{2}{3.8} \) to isolate \( r^2 \).
\[ r^2 = \frac{47.5 \times 2}{3.8} \]
Simplifying further:
\[ r^2 = \frac{95}{3.8} \]
Finally, we can take the square root of both sides to solve for \( r \).
\[ r = \sqrt{\frac{95}{3.8}} \]
Using a calculator, we find that \( r \) is approximately 6.28 feet.
Therefore, the value of \( r \) is approximately 12.56 feet.
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Find the area of the rectangle.
The area of the rectangle is the length times the width.
Now let's convert all these fractions into improper fractions to make it easier to multiply
\(4\frac{3}{4} =\frac{19}{4} \\1\frac{1}{6} =\frac{7}{6}\)
Now let's multiply them for the area = \(\frac{19}{4} *\frac{7}{6} =\frac{133}{24} =5\frac{13}{24}\) square feet.
Hope that helped!
Graph the points:
(-1, -2); (0 -1), (1, 0)
• What is the fourth point?
HELP PLZZ I'm abouta fail this grade and I cant
Answer:
(2,1)
Step-by-step explanation:
bro if im wrong blame me-- but yeah
Which products are greater than 256? Choose all that apply. A. 18? 256 B. 256? 256 C. 256? 158 D. 56? 256 E. 65? 256
Answer:
Answer : All of them (question is unclear)
Step-by-step explanation:
I agree with the earlier answer, this needs to be worded differently. All of these numbers are equal to or greater than 256, but there is no product. I would suggest editing your question to make it more clear. Thank you.
andy has 15 coins made up of quarters and half dollars, and their total value is $5.00 how many quarters does he have
Andy has 15 coins made up of quarters and half dollars, and their total value is $5.00.
He has 10 quarters and 5 half dollars.
To find this answer, we can set up the following equation: 0.25Q + 0.50H = 5.00, where Q represents the number of quarters and H represents the number of half dollars. Solving for Q, we get Q = 10. Therefore, Andy has 10 quarters and 5 half dollars.
To solve this equation, we can use algebra to isolate the variable Q. We can start by subtracting 0.50H from both sides, giving us 0.25Q = 5.00 - 0.50H.
Next, we can divide both sides by 0.25, giving us Q = (5.00 - 0.50H) / 0.25. Therefore, we can substitute the values for 5.00 and 0.50H and solve for Q, giving us Q = 10.
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Find the area of triangle XYZ if length XY equals 7 and length XZ equals 4.3. You also
know that angle Y equals 79°.
Answer:
A ≈ 14.8 units²
Step-by-step explanation:
the area (A) of the triangle is calculated as
A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )
where x is the side opposite ∠ X and z the side opposite ∠ Z
here y = XZ = 4.3 and z = XY = 7 , then
A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°
= 15.05 × sin79°
≈ 14.8 units² ( to 1 decimal place )
The shape has which of the following coordinates
Step-by-step explanation:
1a. ( 3, -4)
1b. ( 8, -2)
1c. ( 10, -10)
hope it helps!
suppose that all people can be classified as either right-eye dominant or left-eye dominant. that is to say, right-eye dominant people see better with their right eye, and left-eye dominant people see better with their left eye. suppose that 78% of a population are right-eye dominant and that 61% of them are male. of those who are left-eye dominant, 53% are male. what percent of this population are left-eye dominant?
22% of the population is left-eye dominant.
To find the percentage of the population that is left-eye dominant, we need to subtract the percentage of right-eye dominant individuals from 100%.
Given that 78% of the population is right-eye dominant, the percentage of left-eye dominant individuals can be calculated as:
Left-eye dominant percentage = 100% - Right-eye dominant percentage
Left-eye dominant percentage = 100% - 78%
Left-eye dominant percentage = 22%
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The bar graph shows the number of customers at a nail salon each day for one week. What percent of the customers came on Friday or Saturday? Round your answer to the nearest hundredth of a percent. * I NEED ANSWER*
Answer:
Friday = 11.43%Saturday = 17.14%Friday & Saturday = 28.57%Step-by-step explanation:
Total number of customers
⇒ 15 + 5 + 10 + 14 + 8 + 12 + 6 = 70
Percentage of customers who came on Friday
\(\begin{aligned}\implies \sf Percentage & = \sf \dfrac{Friday\:customers}{Total\:number\:of\:customers} \times 100\\\\& = \sf \dfrac{8}{70} \times 100\\\\& = \sf 11.43\%\:\:(nearest\:hundredth)\end{aligned}\)
Percentage of customers who came on Saturday
\(\begin{aligned}\implies \sf Percentage & = \sf \dfrac{Saturday\:customers}{Total\:number\:of\:customers} \times 100\\\\& = \sf \dfrac{12}{70} \times 100\\\\& = \sf 17.14\%\:\:(nearest\:hundredth)\end{aligned}\)
Percentage of customers who came on Friday and Saturday
\(\begin{aligned}\implies \sf Percentage & = \sf \dfrac{Fri\:and\:Sat\:customers}{Total\:number\:of\:customers} \times 100\\\\& = \sf \dfrac{8+12}{70} \times 100\\\\& = \sf 28.57\%\:\:(nearest\:hundredth)\end{aligned}\)
28.57 is the answer, and its rounded to the nearest hundredth
an individual is hosting a cookout for a kick ball team. the individual wants to have 3 hot dogs for each guest, and 10 extra hot dogs in case some teammates bring friends. which variable is dependent?
The dependent variable in this case would be the total number of hot dogs needed for the cookout.
What is variable in math?In mathematics, a variable is a symbol, usually a letter, used to represent a quantity in an equation or in a mathematical expression. It can be thought of as a placeholder that can take on different values in a given equation or expression. Variables are essential for mathematics because they allow us to explore different scenarios and solve problems.
This is dependent on the number of guests attending, which is the independent variable. Depending on how many people show up, the individual will need to adjust the amount of hot dogs to accommodate the guests.
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“The mode of a data set is one of the values in the data set.” This statement is ____________.
PRETEST: The Number System
What is the fractional equivalent of the repeating decimal 0.2?
0339
off
O
O
6/N
27
5 of 13 QUESTIONS
SUBMIT
The fractional equivalent of the repeating decimal 0.2 is 2/9
How to determine the fractional equivalent of the repeating decimalFrom the question, we have the following parameters that can be used in our computation:
Repeating decimal = 0.2
Represent properly
So, we have
Repeating decimal = 0.2222
Express as fraction
So, we have
Fraction = 2/(10 - n)
In this case
n = 1
So, we have
Fraction = 2/(10 - 1)
Evaluate
Fraction = 2/9
Hence, the fractional equivalent is 2/9
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Solve the system of equations.
7x−3y=20
y=5x−4
x=
y=
Answer:
Step-by-step explanation:
substitute the value of y in the first equation.
7x-3(5x-4)=20
7x-15x+12=20
-8x=20-12
x=8/-8
x= -1
then you substitute the value of x on the y equation to find y
y=5×-1 -4
y= -5-4
y= -9
Answer:
x = -1, and y = -9
Step-by-step explanation:
This is done by solving one of the two equations for x or y, then substituting it in place of that variable in the other equation.
Since y is already clearly defined in the second equation let's go with that:
\(Given\ 7x - 3y = 20,\ and\ y = 5x - 4\)
\(7x - 3(5x - 4) = 20\)
\(7x - 15x + 12 = 20\)
\(7x - 15x = 20 - 12\)
\(-8x = 8\)
\(x = -1\)
Now we can replace x in the equation for y with -1:
\(y = 5(-1) - 4\)
\(y = -5 - 4\)
\(y = -9\)
To make sure our answers are correct, let's substitute them into the original equations:
\((-9) = 5(-1) - 4\\-9 = -5 - 4\\-9 = -9\)
Good, let's test the other equation
\(7(-1) - 3(-9) = 20\\-7 - (-27) = 20\\-7 + 27 = 20\\20 = 20\)
So we know that our answer is correct.
please help me thankyou lol
Answer:
Yes, they are congruent
Step-by-step explanation:
They are congruent because they both have same length sides
Are the ratios 4:3 and 9:12 equivalent? Justify your answer.
Answer:
No
Step-by-step explanation:
Ratios are usually written as A:C::B:D, A matches to B as C matches to D
So the ratio 4:3::9:12, you multiply 4 by 2.25 to get 9,
but if you multiply 3 by 2.25, you get 6.75, which is not 12
-Chetan K
The statement says that you’ve triggered the penalty apr so that it has now increased to 28. 99%. What action triggered this?.
The statement says that you've triggered the Penalty APR so that it has now increased to 28.99%. What action triggered this? You failed to pay the minimum payment by the due date.
You failed to make the minimum payment by the due date. This is an action that can result in a message that "you've triggered the Penalty APR so that it has now climbed to 28.99%."
A charge APR is a charge that can be applied if you don't pay your bills on time. It may be set up so that future transactions may be subject to a penalty APR that is higher than the card's standard rate.
If the minimum payment was not made by the due date, Penalty APR would be applied.
But if the card also has a penalty APR and you trigger it, you will likely lose that promotional offer. Federal consumer protections that limit penalty APRs don't apply to small-business credit cards. That means issuers can be more punitive, such as applying penalty APRs sooner than 60 days after not making payments.
Therefore,
The statement says that you've triggered the Penalty APR so that it has now increased to 28.99%. What action triggered this? You failed to pay the minimum payment by the due date.
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2-simplifica
1)x²-5x-16
x+2=
2)6an²-3b²n²
b4-4ab²+4a²=
3)4x²-4xy+y²
5y-10x
4)n+1-n³-n²
n³-n-2n²+2=
5)17x³y4z6
34x7y8z10=
6)12a²b³
60a³b5x6=
1. x² - 5x - 16 can be written as (x - 8)(x + 2).
2. 6an² - 3b²n² = n²(6a - 3b²).
3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².
4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).
5. 17x³y⁴z⁶ = (x²y²z³)².
6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.
Let's simplify the given expressions:
Simplifying x² - 5x - 16:
To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.
Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).
Simplifying 6an² - 3b²n²:
To simplify this expression, we can factor out the common term n² from both terms:
6an² - 3b²n² = n²(6a - 3b²).
Simplifying 4x² - 4xy + y²:
This expression represents a perfect square trinomial, which can be factored as (2x - y)².
Simplifying n + 1 - n³ - n²:
Rearranging the terms, we have -n³ - n² + n + 1.
Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).
Simplifying 17x³y⁴z⁶:
To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:
17x³y⁴z⁶ = (x²y²z³)².
Simplifying 12a²b³:
To simplify this expression, we can multiply the exponents of a and b with the given expression:
12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.
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1. Det. the discharge of a rectangular 2) flume 3m wide. 1.5m deep on ure ne 0.013. slope of as 0.0025. Find also the boundary shear stress. Solution:
Given data:Width of flume (B) = 3 mDepth of flume (D) = 1.5 mChezy’s constant (C) = 0.013Slope of the bed (S) = 0.0025We know that,Q = (1/C) * A * R^(2/3) * S^(1/2)
Where,Q = Discharge of rectangular flumeA = Area of cross-sectionR = Hydraulic radiusS = Slope of the bedCalculation:Area of cross-section, A = B * D = 3 * 1.5 = 4.5 m²Wetted perimeter, P = B + 2 * D = 3 + 2 * 1.5 = 6 mHydraulic radius,
R = A / P = 4.5 / 6 = 0.75 mSubstituting the given values,Q = (1 / 0.013) * 4.5 * 0.75^(2/3) * 0.0025^(1/2)Q = 0.796 m³/sBoundary shear stress, τo = ρ * g * R * Sρ = Density of water = 1000 kg/m³g = Acceleration due to gravity = 9.81 m/s²Substituting the given values,τo = 1000 * 9.81 * 0.75 * 0.0025τo = 18.23 N/m²
The discharge of a rectangular flume 3 m wide and 1.5 m deep on a slope of 0.0025 is 0.796 m³/s and the boundary shear stress is 18.23 N/m².
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find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths. b. multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving real world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning.
A) the area of a rectangle with side lengths of 6 and 4 units is:Area = length × widthArea = 6 units × 4 unitsArea = 24 square units. B) we can use rectangular areas to help us solve mathematical problems.
a) Let's consider a rectangle with side lengths of 6 and 4 units. We can find the area of the rectangle by tiling it. To do this, we can divide the rectangle into unit squares, which means 24 squares altogether.
This shows that the area of the rectangle is 24 square units.We can also use multiplication to find the area of the rectangle. The area of a rectangle is found by multiplying the length by the width.
Therefore, the area of a rectangle with side lengths of 6 and 4 units is:Area = length × widthArea = 6 units × 4 unitsArea = 24 square units
Therefore, we see that both the tiling method and the multiplication method give the same answer.
b) When solving real-world and mathematical problems that involve rectangles, we often need to find their areas. To do this, we can multiply the length and width of the rectangle.
For example, consider a rectangle with a length of 7 feet and a width of 5 feet. To find the area of this rectangle, we can multiply 7 by 5. Therefore, the area of the rectangle is:Area = length × widthArea = 7 feet × 5 feetArea = 35 square feetWe can also represent whole-number products as rectangular areas in mathematical reasoning.
For example, if we know that the area of a rectangle is 20 square units and one side length is 4 units, we can use this information to find the other side length. We can reason that if the area is 20 square units and one side length is 4 units, the other side length must be 5 units, since 4 × 5 = 20.
Therefore, we can use rectangular areas to help us solve mathematical problems.
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What is the value of M ( there is not any multiple-choice answers)
Answer:
sum of anngles of triangle=180
a+b+c=180
55+70+m=180
125+m=180
m=180-125
m=55
Step-by-step explanation:
please make me brainiest if it helped you
find three consecutive integers, the sum of whose squares is 65 more than three times the square of the smallest.
The three consecutive integers are 10, 11, and 12.
To find three consecutive integers, the sum of whose squares is 65 more than three times the square of the smallest, follow these steps:
1. Let the smallest integer be x. Then, the other two consecutive integers are x + 1 and x + 2.
2. The sum of their squares is x^2 + (x + 1)^2 + (x + 2)^2.
3. The given condition is that this sum is 65 more than three times the square of the smallest integer: x^2 + (x + 1)^2 + (x + 2)^2 = 3x^2 + 65.
4. Simplify the equation:
x^2 + (x^2 + 2x + 1) + (x^2 + 4x + 4) = 3x^2 + 65
5. Combine like terms:
3x^2 + 6x + 5 = 3x^2 + 65
6. Subtract 3x^2 from both sides to eliminate the x^2 terms:
6x + 5 = 65
7. Subtract 5 from both sides:
6x = 60
8. Divide by 6:
x = 10
So, the three consecutive integers are 10, 11, and 12.
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What is the equation for the line of best fit for the following data? Round the
slope and y-intercept of the line to three decimal places.
OA. y=0.904x + 1.797
X
2
5
y
2
9
7 20
12
19
16 30
Answer:
y=1.797 x + 0.904
Step-by-step explanation:
y=1.797 x + 0.904
You could use line of best fit (least squares).
You can plot the provided equations & points, too.
B and C cannot be options; they have a negative slope. Just looking at the points, as x increases, y increases, so the slope is positive.
D most closely fits the data and would be the answer using least squares method.
Can someone answer this asap #needhelp thanks
Answer:i think it is 7/3
Step-by-step explanation:
What is the frequency of the sinusoidal graph?
Answer:
equal to 1
Step-by-step explanation:
I believe this is the answer. Also I see that ur new. Well welcome to Brainly.