The hypotenuse of a right triangle is 37 mm. One leg of the right triangle is 12 mm. What is the length of the other leg?

Answers

Answer 1
Use the pythagorean theorem:
[tex]a^2+b^2=c^2[/tex]
[tex]12^2+b^2=37^2[/tex]
[tex]144+b^2=1369[/tex]
[tex]b^2=1225[/tex]
[tex] \sqrt{b^2} = \sqrt{1225} [/tex]
[tex]b=35[/tex]
Your answer is 35mm.
Answer 2

Answer:

35 they are right

Step-by-step explanation:


Related Questions

Dan bought a truck for $29,800. The value of the truck depreciated at a constant rate per year. The table below shows the value of the truck after the first and second years: Year 1 2 Value (in dollars) 26,522 23,604.58 Which function best represents the value of the truck after t years?

A.F(T)=29,800(0.89)^t
B.F(T)=26,522(0.89)^t
C.F(T)=29,800(0.11)^t
D.F(T)=26,522(0.11)^t

Answers

23604.58/26522=r^2/r

r=0.89

F(t)=29800(0.89)^t

Answer:

A

Step-by-step explanation:

did the test

PLEASE HELP WITH THESE TWO IM VWRY CONFUSED AND SIPER DUMD !!

Answers

Pretty sure 27 is be because it equals like 83.4444444 not one hundred perct sure but I think that's it.
I'm pretty sure its A) 50 like what you said Alyssa.
 I was not sure it was correct only

Donald eats 6 per minute so if you multiply it by 50 it will be 300. 500 - 300 = 200 burgers.

Wendy eats 4 per minute so if you multiply it by 50 it is 200. So 400 - 200 is 200 burgers. 


I don't get how to do it i have tried but I can't I think that it might be 20 i think

Answers

Close! You forgot to square the 20!

1. A package weighs 2.6 pounds. How much do 8 of some sized packages weigh?

It takes Maxine 0.3 hours to make a pat holder. How many pat holders can she make in 4.5 hours

3. A box of garss seed weighs 0.62 pounds. HOw much does a box containing 0.75times as grass seeds weigh?

4. A collection of nickels is worth 18.60$. how many nickels are in this collection?

5. Mrs.Anderson bought party flavors for the 24 studentsin ther class. Each flavor costs
$2.27. How much did all the party flavors cost.

6. Each prize for a carnival booth costs $0.32. How many prizes can you buy with $96?

7. Bob has a pack of 24 pencils, each pencil weighs 0.9 grams. How much does the pack of pencils weigh?




Answers

Question 1: 20.8 pounds. You simply multiply the numbers.
Question 2: 15 pat holders. You divide 4.5 by .3.
Question 3: 1.085 pounds. You multiply .62 by 1.75 (the one being a representation of the .62).
Question 4: 372 nickles. You divide 18.60 by .05.
Question 5: $54.48. You multiply 24 by 2.27.
Question 6: 300 prizes. You will just divide 96 by .32.
Question 7: 21.6 grams. You can simply multiply 24 by .9 to yield this answer.

Hope this helped! If you need anything else just let me know!

Which statement is true for the equation 4x − 4x − 5 = −5?

It has no solution.
It has one solution.
It has two solutions.
It has infinitely many solutions.

Answers

4x-4x-5=-5  combine like terms on left side

-5=-5

The above is true for all values of x, thus there are infinitely many solutions.
4x - 4x -5 = -5
0 - 5 = -5
0 = 0
The equation has infinitely many solutions.

The sum of the first natural number and 0 is 1, the sum of the first two natural numbers and 0 is 3, the sum of the first three natural numbers and 0 is 6, and the sum of the first four natural numbers and 0 is 10. Which explicit formula generates the sum of the first n natural numbers and 0?

A) n(n+1)/2
B) 2n-1
C) n(n+4)/4
D) 3n-2

Answers

The answer is A, it works with every number mentioned in the question.
The answer to your question is A) n(n + 1)/2

hope this helped and please vote me brainiest

Madison collage conducted a three-day orientation for incoming freshmen. Each day, an average of 110 students attend the morning session and an average of 160 students attend the afternoon session. write an expression that could be used to determine the total number of incoming freshmen who attended the orientation.

Answers

3(110+160) 3 days each say has 110+160 students

Travis traveled 320 miles in 5 hours. What is his unit rate of speed in miles per hour? _____ miles per hour

Answers

The answer to your incredible question would be 69. if you divide 320 by 5 you will get 64. Since it is 5 hours you have to add 5 to that number so you get 69.

The unit rate of speed in miles per hour is 64 miles per hour if Travis traveled 320 miles in 5 hours.

What is the distance?

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

We have:

Travis traveled 320 miles in 5 hours.

The distance d = 320 miles

Time is taken t = 5 hours

As we know, the change in values of a dependent variable with respect to the independent variables.

The unit rate of speed in miles per hour = 320/5

The unit rate of speed in miles per hour = 64 miles per hour

Thus, the unit rate of speed in miles per hour is 64 miles per hour if Travis traveled 320 miles in 5 hours.

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Identify the equation of the line that has a y-intercept of 7 and is parallel to the graph of y = 5x - 3

Answers

If the lines are parallel, then that means they have the same slope of 5x. The y intercept would by 7 instead of -3. 
Your equation would be y=5x + 7

what is 12/20 as a percent?

Answers

Divide 12 by 20 to get 0.6.
0.6 as a percent is 60%.

Answer:

60%

Step-by-step explanation:

Suppose that (x1, y1) and (x2, y2) are two points on a linear function. Write the formula to find the function’s rate of change for the interval [x1, x2].

Answers

This is just the slope.
(y2 - y1)/(x2 - x1)

Final answer:

The rate of change for a linear function on the interval [x1, x2] is the slope of the line m, calculated by dividing the difference in y-values by the difference in x-values: m = (y2 - y1) / (x2 - x1).

Explanation:

To find the rate of change of a linear function for the interval [x1, x2], we need to calculate the slope of the line connecting the points (x1, y1) and (x2, y2). This is done using the formula:

m = (y2 - y1) / (x2 - x1)

where m represents the slope, which is the ratio between the change in y-values (rise) and the change in x-values (run). When graphing the function, if you plotted these two points, you'd be able to draw a straight line between them, and by finding the slope, you determine how steep the line is. The slope, or rate of change, indicates how much y increases or decreases for each unit increase in x. This rate of change is constant along the entire length of a straight line.

Assume that the sales of a certain appliance dealer are approximated by a linear function. Suppose that sales were $14,500 in 1982 and $65,500 in 1987. Let x = 0 represent 1982. Find the equation giving yearly sales S

Answers

A linear function has the form : f(x)=ax+b

we are given that 

f(0)=a*0+b=b is $14,500.

so the sales in the first year were $14,500.

f(1) gives the sales in the second year     (year 83)
f(2) gives the sales in the third year          (year 84)
.
.
f(5) gives the sales in the sixths year        (year 87)


the slope of the line, a, is given by : 

[tex] \frac{f(5)-f(0)}{5-0}= \frac{65,500-14,500}{5}= 10,200[/tex]

thus,

S=ax+b=10,200x+14,500


Answer: S=10,200x+14,500  

Final answer:

To articulate the linear equation for yearly sales S, we calculate the slope from the two provided data points and use the slope-intercept form, ultimately deriving the equation S = 10200x + 14500.

Explanation:

To find the equation giving yearly sales S, we can use the two data points: sales were $14,500 in 1982 and $65,500 in 1987. With x = 0 representing 1982, the two points are (0, 14500) and (5, 65500). We can calculate the slope (m) using the formula m = (y2 - y1) / (x2 - x1), which is the change in sales over the change in time.

So, m = (65500 - 14500) / (5 - 0) = 51000 / 5 = 10200. This means the sales are increasing at a rate of $10,200 per year.

Now, we can use the slope and one point to write the linear equation in the slope-intercept form, which is Y = mx + b, where b is the y-intercept. Since when x = 0, Y = 14500, we know that b = 14500. Therefore, our final equation for yearly sales S is S = 10200x + 14500.

What is the ratio of the circumferences for two circles with areas 6π m and 150π m?

Answers

The ratio of the circumferences equals the ratio of the radii.

 so we need to find their radii


 first circle's radius:
pir^2 = 6pi
r = √6


 second circle's radius:
pir^2 = 150pi
r = √150


 Their ratio is
√6 : √150 =
√6 : √6√25 =
√6 : 5√6 =
1 : 5

The ratio of the circumferences of two circles with areas of 6π m² and 150π m² is 5:1.

To find the ratio of the circumferences of two circles given their areas, we first recall the formula for the area of a circle, A = πr², where A is the area and r is the radius. Knowing the area, we can solve for the radius of each circle. The areas given are 6π m² and 150π m².

To find the radius for the first circle, we set up the equation:

6π = πr²

We solve for r, yielding:

r = √6.

Similarly, for the second circle:

150π = πr²

This gives us:

r = √150.

Next, we use the formula for the circumference C = 2πr. We calculate the circumferences of the circles using their respective radii:

First circle's circumference: C1 = 2π(√6)

Second circle's circumference: C2 = 2π(√150)

Finally, to find the ratio of the circumferences, we divide C2 by C1 and simplify:

Ratio = C2÷C1 = (2π(√150))÷(2π(√6)) = √(150÷6) = √25 = 5.

Therefore, the ratio of the circumferences of the two circles is 5:1.

The Lions won 35 out of 40 games this season what fraction of the games played did the Lions won? Write your answer in a simplest form

Answers

35/40 = 7/8
 so 7/8 lions won 
7 out of 8 games they played they won because 35÷ 5 = 7  and 40 ÷ 5 = 8

Myles can ride his bike 24 miles in 6 hours. How many miles can he travel in 1 hour? (Unit rate)

How many miles can Myles travel in 5 hours?

Answers

Myles can travel 20 miles in 5 hours. The unit rate for this problem is 4 miles every hour

3 hours worked for$12;9 hours worked for $36

Answers

if you want to figure out how much for 1 hour, the answer is $4 per hour
Final answer:

This answer explains the concept of Labor Economics and Wages by calculating the hourly rate from given total pay and total hours worked.

Explanation:

The subject of this question involves Labor Economics and Wages.

In this scenario, the wage for working 3 hours is $12, while for working 9 hours, the pay is $36. To determine the hourly rate, we can use the formula: Hourly Rate = Total Pay / Total Hours Worked. Applying this formula, we find the hourly rate to be $4 per hour.

Example:

3 hours worked for $12 -> Hourly rate = $12 / 3 hours = $4 per hour9 hours worked for $36 -> Hourly rate = $36 / 9 hours = $4 per hour

A pre-image point is rotated 90° clockwise. If the pre-image point had the coordinates (3, -5), what are the coordinates of its image point?


(-5, -3)

(5, 3)

(-3, 5)

(-3, -5)

Answers

(-5,-3). First one! First one! Need 20 characters lol

Answer:

(-5,-3)

Step-by-step explanation:

show six
ways to add 2,3,4

Answers

2 + 3 + 4
2 + 4 + 3
4 + 3 + 2
4 + 2 + 3
3 + 4 + 2
3 + 2 + 4

Answer and Explanation:

Given : Numbers 2,3,4.

To find : Show six ways to add the numbers?

Solution :

As there are three numbers so arrangement of these numbers are as follow by changing there positions,

[tex]2+3+4=9[/tex]

[tex]2+4+3=9[/tex]

[tex]3+2+4=9[/tex]

[tex]3+4+2=9[/tex]

[tex]4+2+3=9[/tex]

[tex]4+3+2=9[/tex]

Above are the ways.

Avani went to the grocery store and bought home a cardboard box that was covered with a sealed top Two end face of the box are squares The area of the face on either end is 64 square inches what is the length of the side of a square face? Plz help me plz

Answers

I think its probably 8 for the length and width because its a square that is equal to 64 inches

the state fair is a popular field trip destination. This year the señior class at High school A and the señior class at High school B both planned trips there the señior class A rented and filled 8 vans and 8 buses with 240 students. High school B rented and filled 4 vans and 1 bus with 54 students. every van had the same number of students in it as did the buses. find the number of students in each van and each bus

Answers

8v + 8b = 240
4v + b = 54....multiply by -2
-------------------
8v + 8b = 240
-8v - 2b = - 108 (result of multiplying by -2)
------------------add
6b = 132
b = 132/6
b = 22 <== buses hold 22 students

4v + b = 54
4v + 22 = 54
4v = 54 - 22
4v = 32
v = 32/4
v = 8 <== vans hold 8 students

Answer:

The number of student in each van is 8. The number of student in each bus is 22.

Step-by-step explanation:

Consider the provided information.

Let the number of student in each van is x.

The number of student in each bus is y.

School A rented and filled 8 vans and 8 buses with 240 students.

This can be written as:

[tex]8x+8y=240[/tex]......(1)

School B rented and filled 4 vans and 1 bus with 54 students.

[tex]4x+y=54[/tex]

[tex]y=54-4x[/tex]......(2)

Substitute the value of y in equation (1).

[tex]8x+8(54-4x)=240[/tex]

[tex]8x+432-32x=240[/tex]

[tex]8x-32x=240-432[/tex]

[tex]24x=192[/tex]

[tex]x=8[/tex]

Thus, the number of student in each van is 8.

Substitute the value of x in equation (2).

[tex]y=54-4(8)[/tex]

[tex]y=54-32[/tex]

[tex]y=22[/tex]

Thus, the number of student in each bus is 22.

A pizza is cut into six unequal slices (each cut starts at the center). The largest slice measures 90 degrees

If Larry eats the slices in order from the largest to the smallest, then the number of degrees spanned by a slice decreases at a constant rate. (So the second slice is smaller than the first by a certain number of degrees, then the third slice is smaller than the second slice by that same number of degrees, and so on.)

What is the degree measure of the fifth slice Larry eats?

Answers

Let the common difference between 2 consecutive pizzas be x.

The pizza is cut into slices of

90°, 90°-x, 90°-x-x, 90°-x-x-x, 90°-x-x-x-x, 90°-x-x-x-x-x, 

that is

90°, 90°-x, 90°-2x, 90°-3x, 90°-4x, 90°-5x

the sum of these angles is 360°, so:

90°+90°-x+90°-2x+90°-3x+90°-4x+90°-5x=360°

90°*6-15x=360°

540°-360°=15x

180°=15x

x=12°

The degree measure of the fifth slice is 90°-4x=90°-4*12=90°-48=42°


Answer: 42°

If a four-sided figure has four congruent sides, then it has four right angles. Prove this wrong

Answers

A rhombus is a shape with four congruent sides but its angles are not congruent.

a metallurgist has an alloy with 10% titanium and an alloy with 20% titanium. he needs 100 grams of an alloy with 17% titanium. how much of each alloy should be mixed to attain the 100 grams of alloy with 17% titanium?

Answers

Let us say that:

x = mass of 10% titanium alloy required

y = mass of 20% titanium alloy required

To solve this problem, we set-up two mass balances or equations.

Overall mass balance:    x + y = 100

                                                x = 100 – y                           ---> 1

Titanium mass balance: 0.10 x + 0.20 y = 0.17 (100)

                                                0.10 x + 0.20 y = 17           ---> 2

Now we combine equations 1 and 2:

0.10 (100 – y) + 0.20 y = 17

10 – 0.10 y + 0.20 y = 17

0.10 y = 7

y = 70 g

 

Calculating for x using equation 1:

x = 100 – y

x = 100 – 70

x = 30 g


Answer:

x = 30 g of 10% titanium alloy required

y = 70 g of 20% titanium alloy required

A football player took forward and backward steps of equal length during the play.After taking 14 steps total , he was back at his starting position. How many steps did the football player take in the forward and backward directions? A.6steps forward and 8 backward B.7 forward 7 backward C.8 forward and 6 backward D.5 forward and 9 backward. I believe its B not sure

Answers

Pretty sure its B. too, but this seems unnaturally easy.

Answer:

7

Step-by-step explanation:

-7 + 7 = 0

7 steps forward 7 step backward

Which is true? A 10.59 > 10.60 B 10.590 = 10.59 C 10.43 < 10.24 D 9.0005 = 9.0050

Answers

B is correct because the zero in 10.590 doesn't change the value of the number and 10.590 is equal to 10.59.

Hope this helps!

A) 10.59 > 10.60: True, because 10.59 is greater than 10.60.

B) 10.590 = 10.59: True, as they have the same value.

C) 10.43 < 10.24: False, as 10.43 is greater than 10.24.

D) 9.0005 = 9.0050: False, as they are not equal.

Use the concept of mathematical expression defined as:

Using operations like addition, subtraction, multiplication, and division, a mathematical expression is defined as a group of numerical variables and functions.

A) 10.59 > 10.60: This statement is true.

In decimal numbers, the higher the number, the greater its value.

Since 10.59 is greater than 10.60 (because 59 is greater than 60), this statement holds true.

B) 10.590 = 10.59: This statement is also true.

When two decimal numbers have the same digits after the decimal point, they are considered equal.

In this case, 10.590 and 10.59 have the same value.

C) 10.43 < 10.24: This statement is false.

Similar to the first option, the higher the number, the greater its value.

In this case, 10.43 is greater than 10.24,

So the statement is not true.

D) 9.0005 = 9.0050: This statement is also false.

Although the numbers are very close, they are not equal.

When comparing decimal numbers, each digit after the decimal point matters.

In this case, the numbers differ after the fourth decimal place, making them unequal.

Hence, the given expressions:

A) 10.59 > 10.60: True,

B) 10.590 = 10.59: True,

C) 10.43 < 10.24: False,

D) 9.0005 = 9.0050: False.

To learn more about the mathematical expression visit:

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The land ares of Florida is 1×100,000+3×10,000+9×1,000+8×100+5×10+2×1 square kilometers. Write in standard form and word form

Answers

139,851 square kilometers. one hundred thirty nine thousand, eight hundred fifty two.

I need help please!!

Answers

I'll do 1 and 8, and you should then be able to do 2 and 9!

For 1, we can multiply these separately  - 3*4*9=108 and 5+7+2=13 (exponent multiplication is adding them!), so we have 108b^13

For 8, we can again add the exponents up to get (5/7)^8

If the area of the following figure is 46 square centimeters, what is the height of the trapezoid?

Bottom: 15 cm
Top: 8 cm

Dotted line with a box right before the curve from the top. Which is H.


4 cm
2 cm
5.75 cm
3.1 cm

Answers

Trapezoid is a four-sided figure with unequal bases. Only two of its sides are parallel. Its area is calculated through the equation,
                           A = MH
where A is area, M is median, and H is height. 

Median is calculated by the getting the average of the bases.
                        M = 0.5(b₁ + b₂)
Substituting the given,
                        M = 0.5(15 cm + 8 cm) = 11.5 cm

The equation for the value of H,

                          H = A/M
                          H = 46 cm²/(11.5 cm) = 4 cm

ANSWER: 4 cm

Answer:

4cm

Step-by-step explanation:

Area= 1/2(b1 +b2)(h)

46 = 1/2(8+15)(h)

46 = 1/2(23)(h)

46/11.5=11.5h/11.5

4 = h

HELP
Kendra rides her bike to school each day. It takes her 10 minutes to ride 30 blocks. What unit rate expresses the speed of Kendra's bike ride?
2 blocks per minute
3 blocks per minute
4 blocks per minute
10 blocks per minute

Answers

The answer is 3 blocks per minute, because 30 divided 10 = 3.

Answer:

3 blocks.

Step-by-step explanation:

The answer is 3 blocks

Meredith lives 24 blocks from her friends house. she travels 1 block per minute. What if she travels 2 blocks per minute? how many blocks would it take her to get to her friends house?

Answers

12 you have to do 24 divided by 2

Answer:

12 block

Step-by-step explanation:

We are given that Meredith lives 24 blocks from her friends house if she travels 1 block per minute .

We have to find the number of blocks if she travel 2 blocks per minute .

In order to find the number of blocks from Meredith friend house

we will divide 24 by 2

Therefore, if she travels 2 block per minute then she travel

[tex]\frac{24}{2}=[/tex]12 block

Hence, Meredith lives 12 block from her friends house if she travel 2 block per minute .

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