For the right triangles below, find the exact values of the side lengths h and b. If necessary, write your responses in simplified radical
The required measure of the h and b in the given triangles are 8/√2 and 7√3/2 respectively.
Two right triangles are given, with dimension illustrations in the figure,
We have t determine the value of unknowns h and b.
To find h we can apply trigonometric ratios here:
sin45 = h/8
8* 1/√2 = h
h = 8/√2
Similarly,
sin60 = b / 7
b = 7√3/2
Thus, the required measure of the h and b in the given triangles are 8/√2 and 7√3/2 respectively.
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find the measure of the missing side in the right triangle
Answer:
\(12.2\text{ ft}\)
Step-by-step explanation:
In any right triangles, the Pythagorean Theorem states that the sum of the squares of both legs is equal to the hypotenuse squared (\(a^2+b^2=c^2\), where \(c\) is the hypotenuse, or longest side).
In this case, the length we're solving for is the hypotenuse of the triangle and the two legs of the triangle are 7 and 10. Therefore, we have:
\(7^2+10^2=c^2,\\49+100=c^2,\\c^2=149,\\c=\sqrt{149},\\c\approx \boxed{12.2\text{ ft}}\)
How do you find the diameter
Answer:
2x radius I believe
Tell me if im wrong and I will remove this
What are Even number?
Even numbers are 2,4,6,8,10 :) ✨
Answer:
Any number that can be exactly divided by 2 is called as an even number. Even numbers always end up with the last digit as 0, 2, 4, 6 or 8. Some examples of even numbers are 2, 4, 6, 8, 10, 12, 14, 16.
how many cards must be selected from a standard deck of 52 cards to guarantee that at least three cards of the same (matching) suit are chosen
Answer:
Step-by-step explanation:
17
A number decreased by 14 is -46. Find the number.
Answer:
-60
Step-by-step explanation:
-46-14=-60
Answer:
-46-14=-60
Step-by-step explanation:
Two sailboats had a race. Sailboat A traveled 40 feet every 5 seconds, and sailboat B traveled 56 feet every 8 seconds. Which sailboat won the race, and how fast was it going?
Sailboat A won the race, and it was going 7 feet per second.
Sailboat A won the race, and it was going 8 feet per second.
Sailboat B won the race, and it was going 7 feet per second.
Sailboat B won the race, and it was going 8 feet per second.
Answer:
Sailboat A won the race, and it was going 8 feet per second.
Step-by-step explanation:
Sailboat A was traveling at 40 feet per every 5 seconds, so, to find how many feet it was going per second, we would do 40 feet/5 seconds, which is 8 feet.
Sailboat B was traveling at 56 feet per every 8 seconds, so we use the same method. 56 feet/8 seconds is 7 feet.
So, Sailboat A won because it was going faster! :)
Sean collect information about the number of hours is 26 classmates exercise last weekend shine claimed that his classmates exercise an average of seven hours last weekend is his claim Valid
Answer:
Step-by-step explanation:the claim is not valid
What’s the ordered pair if you question is 3y=2(2)-9?Do I divide it after to get the value of only one y. I’m confused.
Points at 50
Answer:
The ordered pair for the equation 3y=2(2)-9 is (x, -5/3).
Step-by-step explanation:
To find the ordered pair, you will first need to solve the equation for y. To do this, you can start by simplifying the right side of the equation:
3y = 2(2) - 9
3y = 4 - 9
3y = -5
Next, you will divide both sides of the equation by 3 to solve for y:
y = -5/3
So the value of y is -5/3.
The ordered pair is a set of coordinates on a coordinate plane, representing a point on the plane. It is usually represented by (x, y) where x is the value of x-coordinate and y is the value of y-coordinate. In this case, since you only have one variable, you don't have the value of x, so it would be (x, -5/3)
Please note that the above solution is based on the given equation, if you have any other information such as the context of the question or any other variables in the equation, it would be helpful to include that information in your question so I can help you better.
Each week you collect 20 cards. Your friend collects 12 cards each week. How many cards does your friend have if you have 240 cards?
If you have 240 cards and collect 20 cards per week, you have 96 cards after 8 weeks and your freind have 240 cards in 7.5 weeks.
First, we need to find the total number of cards collected per week by both you and your friend
Total cards collected per week = your cards + friend's cards
Total cards collected per week = 20 + 12
Total cards collected per week = 32
Now, we can find the number of weeks it would take for your friend to collect 240 cards
240 cards ÷ 32 cards per week = 7.5 weeks
Since we cannot have a fractional number of cards, we need to round up to the nearest whole number of weeks. Therefore, it would take your friend 8 weeks to collect 240 cards.
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The product of a number and -8 gives eight times the sum of that number and 36. Find that number
Answer:
-18
Step-by-step explanation:
Let x be our number. First we have to write our equation.
The product of a number and -8 is represented as -8x (-8 multiplied by x). Remember that 'product' signifies multiplication.
The result is eight times the sum of x and 36. This is represented as 8(x + 36). We add x and 36 first because 8 has been multiplied by the sum of those two numbers.
So our equation is:
-8x = 8(x + 36)
We can now solve for x. First, expand the bracket.
-8x = 8x + 288
Next, subtract 8x from both sides. This will give us only one term containing x, which will make it easier to solve.
-8x - 8x = 8x + 288 - 8x
-16x = 288
Divide both sides by -16
x = -18
Are the ratio 1 is to 2 is to 3 equivalent?
the ratio 1 is to 2 is equivalent to 3: 6
What is an equivalent ratios?
A ratio compares two quantities named as antecedent and consequent, by the means of division. For example, when we cook food, then each ingredient has to be added in a ratio. Thus, we can say, a ratio is used to express one quantity as a fraction of another quantity.
Two ratios are equivalent to each other if one of them can be expressed as the multiple of the other. Hence, to get the equivalent ratio of another ratio, we have to multiply the two quantities (antecedent and consequent) by the same number.
Given ratios are 2:1 and 3:1
we can write it as 2/1 and 3/1.
The lcm of 2 and 3 is 6.
Multiply denominator of both ratio with 6, we get
2/6 and 3/6 And we can see both the ratios are not equal.
Hence, there are not equivalent ratios.
4:1 and 8:3 are equivalent ratios -----> is false, because 4:1 is equivalent to 8:2
11:2 and 2:11 are equivalent ratios------> is false (because, are reciprocal ratios, not equivalent ratios)
3:1 and 9:3 are equivalent ratios ------> is true
because 3:1 multiply both sides by 3 -----> 3*3:1*3=9:3
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To increase usability in a spreadsheet, use comments, descriptive labels and?
To increase usability in a spreadsheet, you can use comments, descriptive labels, and data validation.
To increase usability in a spreadsheet, you can utilize the following techniques:
1. Comments: Comments allow you to add explanatory notes or instructions within cells. They can provide additional context or clarify the purpose of certain data or formulas. Users can view comments by hovering over the respective cell, making it helpful for collaboration and documentation.
2. Descriptive Labels: Instead of relying solely on cell references or generic labels, use descriptive labels that clearly indicate the purpose of each column, row, or range of cells. This approach enhances readability and makes it easier for users to understand the data and navigate through the spreadsheet.
3. Data Validation: Implement data validation rules to ensure the accuracy and integrity of the data entered into the spreadsheet. Data validation allows you to define constraints or conditions for input, such as numeric ranges, predefined lists, or specific text formats. It helps prevent errors and assists users in entering valid data.
4. Formatting: Properly formatting the cells, columns, and rows can greatly enhance usability. Use consistent formatting for similar types of data, apply color schemes or conditional formatting to highlight important information or trends, and adjust the column widths and row heights to optimize readability.
5. Sheet Organization: Organize the spreadsheet by using multiple sheets if needed. Group related information on separate sheets, and provide clear sheet names that reflect the content or purpose of each sheet. This helps users locate and navigate to specific sections or data within the spreadsheet.
6. Clear Instructions or Documentation: Provide clear instructions or documentation either within the spreadsheet or as separate documentation. Explain the purpose of the spreadsheet, any specific procedures or workflows, and how to interpret the data or use any embedded formulas or macros. This helps users understand the spreadsheet's functionality and ensures consistent usage.
7. Error Handling: Implement error handling mechanisms to provide informative error messages or alerts when users input incorrect or incompatible data. Clear error messages guide users in correcting their input and reduce frustration when dealing with potential errors.
By incorporating comments, descriptive labels, data validation, formatting, sheet organization, clear instructions/documentation, and error handling, you can significantly enhance the usability of your spreadsheet and make it more user-friendly for both yourself and others who interact with it.
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a person borrowed $7,500 at 12% nominal interest compounded quarterly. What is the total amount to be paid at the end of 10 -year period? a. $697,882.5 b. $3,578 c. $2.299.5 d. $24,465
The total amount to be paid at the end of the 10-year period is $24,465. The correct answer is option d. To calculate the total amount to be paid, we need to consider the compounded interest on the borrowed amount.
The nominal interest rate of 12% compounded quarterly means that interest is added to the principal four times a year. Using the formula for compound interest, we can calculate the future value of the loan. The formula is given as:
Future Value = Principal * (1 + (Nominal Interest Rate / Number of Compounding Periods))^Number of Compounding Periods * Number of Years
In this case, the principal is $7,500, the nominal interest rate is 12% (or 0.12), the number of compounding periods per year is 4 (quarterly), and the number of years is 10.
Plugging in these values into the formula, we get:
Future Value = $7,500 * (1 + (0.12 / 4))^(4 * 10) = $24,465
Therefore, the total amount to be paid at the end of the 10-year period is $24,465. The correct answer is option d.
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what is the value of the expression
1/2(12÷3)3/5
Answer:
= 6/5 or 1 1/5 or 1.20
Step-by-step explanation:
= 1/2(12÷3)3/5
= 1/2 (4) 3/5
= 2 x 3/5
= 6/5
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Frank can mow lawns at a constant rate of 65 lawns per hour. How many lawns can Frank mow in 50 hours
Answer:
3250
Step-by-step explanation:
50 x 65 = 3250
Two opposite angles of a parallelogram are 3x+4 and 5x-2 find measure of all angles of parallelogram
Answer:
=The opposite angles of a parallelogram are equal
=(3x+4)
=(5x-2)
=-2x=-6
=x=6+2
=x=3=
1st angle=3x+4=13
3rd angle=5x-2=13
=sum of adjacent side of angle is 180°
=Let the adjacent (2nd angle ) be y=
y+13°=180°
=y=180°-13°
=y=167°=
2nd angle=4th angle
=2nd angle=167°
=4th angle=167°
Step-by-step explanation:
This might be confusing, but I hope it helps <3
Candice won the lottery for 30000 dollars.However 20% of her money has to go to the state for taxes.How much money will she receive after paying taxes?
Answer:
She will receive $24,000 after paying taxes
Step-by-step explanation:
This question can be solved using a rule of three.
20% of her money has to go to the state for taxes. So she will receive 100-20 = 80%. $30000 is 100% = 1. How much is 80% = 0.8?
$30000 - 1
$x - 0.8
x = 30000*0.8
x = 24000
She will receive $24,000 after paying taxes
I dont understand please help Which expression is equivalent to 8-(6r+2) A -6r+6 B 2r+2 C 6r+10 D -6r+10
Answer:
-6r+6
Step-by-step explanation:
Given data
We are given the expression
8-(6r+2)
let us expand it by opening the bracket
=8-6r-2
collect like terms
=8-2-6r
=6-6r
rearrange
=-6r+6
Hence option A is correct
Translate the phrase into an algebraic expression.
The product of 6 and c
Answer:
c x 6 = x
Product judy basically means multiplication.
PLS HELP
Lisa needs at least 870 gigabytes of storage to take pictures and videos on her upcoming vacation. She checks and finds that she has 200 gigabytes available on her phone. She plans on buying additional memory cards to get the rest of the storage she needs. Lisa is going to use memory cards that each hold 256 gigabytes.
Let C represent the number of memory cards that Lisa buys.
Which inequality describes this scenario?
The inequality that describes this scenario would be; A. 200 + 256C ≥ 870.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions. If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality.
Given that lisa checks and finds that she has 200 gigabytes available on her phone. It is going to use memory cards that each hold 256 gigabytes.
Let consider that C represent the number of memory cards that Lisa buys.
Then the inequality ;
200 + 256C ≥ 870
Hence, The inequality that describes this scenario would be; A. 200 + 256C ≥ 870.
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A dilation with a scale factor of 4 makes the scale copy...
Answer:
16
Step-by-step explanation:
Answer:
25 times
Step-by-step explanation:
Scale factor is the ratio of dimensions of the image and the preimage.
Scale factor =
Since area of a figure is the square of dimensions.
Area = Length × Width
Therefore, area scale factor will be the ratio of square of the dimensions of image and preimage.
Area scale factor =
= (Scale factor)²
= 4²
= 16
Therefore, area of the image will be 16 times the area of the preimage.
Can someone help me?????
 what is 65% of 31 
Answer: 20.15
Step-by-step explanation:
First, make the percentage into an actual number. So divide 65 by 100 (because percent is based off of 100) which gives you 0.65. Then multiply 0.65 by 31 which gives you 20.15. Have a good day ;)
what the value of 4 in 0.487
Answer:
It is its tenth value
Step-by-step explanation:
The 4 in .487 is the tenths value
Write the equation of the line passing through the point (6,-9) that is perpendicular to the line y=1/2x+11.
The line that is perpendicular to the equation of a line given is y = -2x + 3
What is the equation of a perpendicular line?The equation of a perpendicular line can be found using the slope of the line first and then applying the points through which the line passes through.
For the given question, the equation of the line is y = 1/2x + 11 and the point is (6, -9).
To find an equation of a line;
Identify the slope.Identify the point.Substitute the values into the point-slope form, y − y₁ = m ( x − x₁) . y − y₁ = m (x − x₁) .Write the equation in slope-intercept formThe equation of the line can be modified into y - y₁ = m(x - x₁)
substituting the values into the equation above gives y = -2x + 3
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Line G has a slope of 7/5. Line H is parallel to line G. What is the slope of line H? Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Since line G has a slope of 7/5 and line H is parallel to line G, the slope of line H is 7/5.
What are parallel lines?In Mathematics, parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.
In Geometry, two (2) lines are parallel under the following conditions:
m₁ = m₂
This ultimately implies that, the slope of these two lines are equal and the same:
Slope of line G = Slope of line H
7/5 = 7/5
In conclusion, we can reasonably infer and logically deduce that the slope of line H is equal to 7/5.
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In a study of speed dating, female subjects were asked to rate the attractiveness of their male dates, and a sample of the results is listed below (1 equals=not attractive; 10 equals=extremely attractive). find the range, variance, and standard deviation for the given sample data. can the results be used to describe the variation among attractiveness ratings for the population of adult males
Answer:
hello the data is missing but it is included in the explanation below
missing data = 9, 6, 2, 1, 2, 5, 5, 1, 2, 6, 8, 10, 6, 6, 1, 5, 1, 3, 4, 4, 4, 5, 10, 9, 1, 6
Answer :
A) range = 9 , variance = 8.3015, standard deviation = 2.8812
B) The results cannot be a representative of the variation of attractiveness among the population of adult males
Step-by-step explanation:
A ) calculate the Range, variance and standard deviation
The given data = 9, 6, 2, 1, 2, 5, 5, 1, 2, 6, 8, 10, 6, 6, 1, 5, 1, 3, 4, 4, 4, 5, 10, 9, 1, 6
i) Range = difference between largest and smallest values
= 10 -1 = 9
ii) variance = summation of ; (xi − x)^2/n-1
= 207.5385/26−1 ≈ 8.3015
iii) standard deviation = \(\sqrt{variance}\)
= \(\sqrt{8.3015}\) = 2.8812
B) The results cannot be a representative of the variation of attractiveness among the population of adult males
Does anyone have an answer to this problem?
n² + 5n = -4
can you help me solve this question
Answer: Coordinates: (1,3) length RS: 3 length RT: 2 ST: 3.6
Step-by-step explanation:
a^2+b^2=c^2
3^2+2^2=c^2
9+4=c^2
13=c^2
3.6=c