How much longer is the hypotenuse

How Much Longer Is The Hypotenuse

Answers

Answer 1

x= sqrt(6^2 +8^2)

sqrt ( 100)

x=10

10-6 = 4

it is 4 feet longer than the shortest leg

Answer 2
AB² = 6² + 8² = 36 + 64 = 100
AB = √100 = 10 ft

Shorter leg is AC=6 ft

AB - AC = 10 - 6 = 4 ft

The hypotenuse is 4 ft longer than the shorter leg.

Related Questions

The maximum height of a vehicle that can safely pass under a bridge is 12 feet 5 inches. A truck measures 162 inches in height. Which best explaims whether or not the truck can pass safely under the bridge?

Answers

1 foot = 12 inches. If you multiply 12 by 12 and then add 5, you get 149. 149 is less than 162 so it will be able to fit!

A student runs 100 meters in 11 seconds. What is the speed of the student?

speed = distance over time; 1 mile = 1609 meters

9.1 miles per hour
16 miles per hour
20.3 miles per hour
24 miles per hour

Answers

100m= 0.621371 miles

11 seconds = 0.0030556 hours

 s=d/t

0.0621371miles/0.0030556hours = 20.3355miles/hours

round off to 20.3 miles per hour


A standard showerhead in Nathan's house dispenses 11 gallons of water per minute. Nathan changed this showerhead to an energy-saving one. The equation shows the amount of water dispensed, y, as a function of the number of minutes, x, for the new showerhead. y = 3x How much water does Nathan save each day with the change in showerheads if he uses the shower for 8 minutes each day? 8 gallons 24 gallons 33 gallons 64 gallons

Answers

The new shower head dispenses 3 gallons of water per minute, as shown in the equation y = 3x.

So, 3 x 8 = 24.

Then, to find out how much he saves each day, you would find how much he used before,

11 x 8 = 88

Next we want to see how much Nathan saved, so we subtract the total,

88 - 24 = 64

Nathan saved 64 gallons.

Answer: 64 gallons

hope it helps XD :))

Which expression is equivalent to 2(9 + 7)?

Answers

The right answer is, 18+14.

The answer is A, 18+14 because 2x 9= 18 and 7x2=14

PLEASE HELP!!! 40 points!!! 1) A school puts on a play. The play costs $1,200.00 in expenses. The students charge $4.00 for tickets. There will be 1 performance of the play in an audiotorium that seats 500 people. What is the domain of the function that shows the profit as a function of the number of tickets sold? A)The domain is all real numbers from negative 1,200 to positive 2,000. B) The domain is all integers from negative 1,200 to positive 2,00. C) The domain is all integers from 0 to 500. D) The domain is all real numbers from 0 to 500.

Answers

Since it costs 1200, we subtract 1200 from the start. In addition, the money totaled is 4*x, where x is the amount of tickets sold. Since there are a minimum of 0 tickets able to be sold and a maximum of 500 tickets since there are 500 seats, the answer is D

I know the answer but my meme dealer needs points

Answers

I ain't the meme dealer but whatev

GCF can be found by grouping the 2 numbers and finding the common group of factors

so factor them
36=2*2*3*3
84=2*2*3*7

the common factors are 2*2*3=12

the GCF is 12

Answer: 12 (C)

Step-by-step explanation: Im a "Meme Dealer" but not yours.

What is the LCD of 1/6 and 5/12 and 11/18

Answers

Finding the Lowest Common Denominator of: [tex] \frac{1}{6} ; \frac{5}{12} ; \frac{11}{18} [/tex]

Here's to find out how it was our LCD:  [tex] \frac{1}{6} = \frac{6}{36} [/tex]
                                                          [tex] \frac{5}{12} = \frac{15}{36} [/tex]
                                                           [tex] \frac{11}{16} = \frac{22}{36} [/tex]
To  find the fraction on the right side we had to multiply (and somewhat divide to get the answer)

So, therefore the Lowest Common Denominator of this question would most likely be: [tex]36[/tex]

Good Luck! 

What is 0.77 estimated

Answers

The answer would be .80 or it may be 1
Most likely 1
 
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A student attempted to generate an equivalent expression using the distributive property, as shown below: 4(x + 2) = x + 8 What was the mistake made?

Answers

The distributive property states that a(b+c)=ab+ac.
In this situation, 4(x+2)= 4*x+ 4*2.
While the student multiplied 4*2 to get 8, the student did not multiply 4*x to get 4x.

4(x + 2) = 4(x) + 4(2)
= 4x + 8

mistake that a student forgot to multiply 4 on the first variable and it's supposed to be 4x + 8, not x + 8

There are 150 marigold plants in a back yard. Each month, the number of marigold plants decreases by 15%. There are 125 sunflower plants in the back yard. Each month, 8 sunflower plants are removed. Part A: Write functions to represent the number of marigold plants and the number of sunflower plants in the back yard throughout the months. (4 points) Part B: How many marigold plants are in the back yard after 3 months? How many sunflower plants are in the back yard after the same number of months? (2 points) Part C: After approximately how many months is the number of marigold plants and the number of sunflower plants the same? Justify your answer mathematically. (4 points)

Answers

Let us first assign variables. We say that:

X = number of marigold plants

Y = number of sunflower plants

n = number of months

We can see that in the given problem, X is decreasing by a percentage, this means that we have to set-up a geometric equation while for Y the decrease is linear so we set-up an arithmetic equation.

 

Part A.

For marigold plants X, a geometric sequence has a general form of:

X = Xo * (1 + r)^n

where r = -15% = -0.15   (negative since it is decreasing)

Xo = the initial amount of marigold plants = 150

X = 150 * (1 – 0.15)^n

X = 150 (0.85)^n

 

For the sunflower plants Y, an arithmetic sequence has a general form of:

Y = Yo + d * n

where d = -8 and Yo = 125

Y = 125 – 8 n

 

Part B. For n = 3

 

X = 150 (0.85)^3 = 92.12 = 92

 

Y = 125 – 8 (3) = 101

 

Part C. From Part B we see that the two values are very far from each other when n = 3, therefore they must be similar when n < 3. So we try n = 2

 

X = 150 (0.85)^2 = 108.38 = 108

 

Y = 125 – 8 (2) = 109

 

Therefore the two plants have approximately similar amount after 2 months.

 

What is the smallest value in the stem and leaf plot below?
STEM | LEAVES
0 | 2 3 3 7
1 | 0 0 7
3 | 4 4 5 5

Key: 3 | 5 means 35
A:2
B: 20
C: 35
D: 2337

Answers

Listing the data from the Stem and Leaves table as raw data we have:

02, 03, 03, 07, 10, 10, 17, 34, 34, 35, 35

Hence the smallest value is 02 = 2

Answer: A

Final answer:

The smallest value in the provided stem-and-leaf plot is 2, corresponding to the lowest stem of 0 with the lowest leaf of 2.

Explanation:

The student's question is asking for the smallest value displayed in a provided stem-and-leaf plot. The stem-and-leaf plot shows numbers divided into stems (tens place) and leaves (ones place), which tells us unique values in the dataset. In this case,

STEM | LEAVES
0         | 2 3 3 7
1         | 0 0 7
3         | 4 4 5 5

According to the provided key, which states that '3 | 5' means '35', we can see that the smallest stem is '0' and the smallest leaf in the '0' stem row is '2', combining these gives us the smallest value in the plot. Therefore, the smallest value in the stem and leaf plot is 2, which corresponds to option A: 2.

Which situation will have the greatest number of possible outcomes? A. The number of 5-digit zip codes, where the digits cannot be repeated. B. The number of 5-digit zip codes, where the digits increase. C. The number of 5-digit zip codes, where the digits can be repeated. D. The number of 5-digit zip codes, where the digits are the same.

Answers

It would be C, with C you have approximately 100,000 combinations. You had 10 with D 0-9. I would think you have 6 combinations with B not completely sure. And A is approximately 30,240 combinations
A.
10 digits
so there are 10*9*8*7*6 or 30240 combinations

B.
ok, the highest one would be
56789
the lowest is
01234
this is interesting, but it is definitely less that the first option because 54321 is not an option

C.
can be repeated
that is 10⁵ or 100,000 differnt combos

D.
same?
only 10
00000
11111
22222
33333
44444
etc, you get it



so the most one would be C

Use a special right triangle to write cos 30

Answers

cos 30= s√3(FRACTION)2s=3√(FRACTION)2

Plz help where it says :write

Answers

Susan is correct but you don't have to put it like that you can put it in your own words and what grade are you in

Order least to greatest

0, -14,13,-12,-16,17

-16,-14,13,-12,0,17
-12,0,13,-14,-16,17
-12,-14,-16,-,13,17
0,12,13,-14,-16,17

Which is the farthest to the right on a number line

-15
-1
0
1

Find -5

-5
5
1/5
-1/5

Answers

Least to greatest:

-16,-14,13,-12,0,17

Farthest right on a number line:

1

Find -5

-5 (not exactly sure what this question is asking)

The correct order from least to greatest is -16, -14, -12, 0, 13, 17. The number farthest to the right on the number line is 1, and 'finding -5' means locating the number -5 on a number line.

The question involves ordering numbers from least to greatest and finding the position of a number on a number line. To order numbers from least to greatest, you look for the smallest or most negative number and move towards the largest or most positive number. When placed on a number line, negative numbers are to the left of zero, and positive numbers are to the right of zero. Therefore, the correct order from least to greatest is -16, -14, -12, 0, 13, 17.

Moreover, the number farthest to the right on a number line from the options given is 1 because it is the greatest number listed and is positioned to the right of all the other numbers.

Finally, to 'find -5', it simply means to locate the number -5 on the number line. It is negative, so it will be to the left of zero.

How can you express (16 + 40) as a multiple of a sum of whole numbers with no common factor?

Answers

Answer: 8 X (2+5)

Step-by-step explanation:

Solve 8x 2 - 2x - 1 = 0

{-1/4, 1/2}
{-1/2, 1/4}
{1/2}

Answers

8x^2 - 2x - 1 = 0
(2x - 1)(4x + 1) = 0
2x - 1 = 0; x = 1/2
4x + 1 = 0;x = -1/4

answer
{-1/4, 1/2}

Help me please!! Thanks you

Answers

height = sqrt (26^2 - 10^)

10^2 = 100

26^2 = 676

 sqrt ( 676-100)=

sqrt(576) = 24

 height is 24 ft

Answer please will give lots of pointsssssss

Answers

the secure hike has more identical times so it is more consistent,

 so answer would be :

 the range of play time is less consistent for the X-treamline, but it plays longer

Which function is undefined when x= pi/2 radians
cos x
cot x
csc x
tan x

Answers

The Cot x is undefined because it is equal to (Sin x)/(Cos x) and at pi/2, Cosine = 0.

Answer:

Option 4 that is tan x will be undefined at x=pi/2 radians

Step-by-step explanation:

[tex]\frac{\pi}{2}radians=90^{\circ}[/tex]

In case 1:

We have cos x

[tex]\text{Cos x has value 0 at x}=\frac{\pi}{2}radians[/tex]

Therefore the function is defined hence, option 1 is discarded.

In case 2:

We have cot x and

[tex]cot x=\frac{cos x}{sin x}[/tex]

Since, [tex]\text{cos x at x}=\frac{\pi}{2}\text{radians is 0}[/tex]

And [tex]\text{sin x at x}=\frac{\pi}{2}\text{radians is 1}[/tex]

Hence,[tex]cot x=\frac{0}{1}=0[/tex]

Hence, defined and Option 2 is discarded.

In case 3:

We have csc x and

[tex]csc x=\frac{1}{sin x}[/tex]

Since, [tex]\text{sin x at x}=\frac{\pi}{2}\text{radians is 1}[/tex]

Hence,[tex]csc x=\frac{1}{1}=1[/tex]

Hence, defined and Option 3 is discarded.

In case 4:

We have tan x and

[tex]tan x=\frac{sin x}{cos x}[/tex]

Since, [tex]\text{cos x at x}=\frac{\pi}{2}\text{radians is 0}[/tex]

And [tex]\text{sin x at x}=\frac{\pi}{2}\text{radians is 1}[/tex]

Hence,[tex]tan x=\frac{1}{0}=\infty[/tex]

Hence, undefined and Option 4 is correct.

What is the center of a circle given by the equation (x-3)2+(y-9)2=16

Answers

The answer is : y = - 1x + 28


how I did it


(x-3)2+(y-9)2=16


1x - 3 times 2 + 1y -9 times 2 = 16


1x - 6 + 1y -18 =16
      +6        +6

1x + 1y -12 = 16
             +12    +12

1x + 1y = 28
 -1x                -1x

1y = -1x + 28
/1       /1      /1

y = - 1x + 28 or y = - x + 28

find the quotient -7 divided by 14/3

Answers

-1/6 is your answer i know so Hope this helps

What is 5xy cubed? To better rephrase it, what is 5xy to the power of 3?

Answers

(5xy)^3
5^3=125
x^3=x^3
y^3=y^3
Put it all together.
Final Answer: 125x^3y^3
(5xy)³
= (5)³(x)³(y)³
= 125x³y³

What are the like terms of 8c - 12 - 5c +4

Answers

The like terms here are the two constants, 4 and -12

The other like terms are the multiples of the variable c, 8c and -5c

What is the domain of the function f (x)=x^2+1

Answers

Alright, so since anything can be squared, the domain is (-inf, inf)

how do you solve the function 5x-4=-2(3x+2)

Answers

5x-4=-2(3x+2)
5x-4= -6x-4
5x+6x= -4+4
11x=0
X=0/11
5x - 4 = -2 (3x + 2)
Expand the bracket
5x - 4 = -6x - 4
11x = 0
x = 0/11 = 0

Hope it helped!

A substance with a density of 1.0 gram per cubic centimeter has a mass of 1.0 kilogram if its volume is 100 cubic centimeters. True or false ? Please answer with explanation

Answers

False!!! 
There are 1000 grams in a kilogram. The density is 1 gram / 1 cubic centimeter. So, the density could also be 1000 grams / 1000 cubic centimeters. That is the same as 1 kilogram / 1000 cubic centimeters

Leon lives in North Dakota, which has a sales tax of 5%. He just bought a home theater system whose full price was $450, but after sending in a rebate form, he later received a check in the mail for $75. What was the total amount that Leon ended up paying after receiving the rebate? A. $397.50 B. $472.50 C. $393.75 D. $375.00

Answers

Answer:

$397.50

Step-by-step explanation:

$450×5%=22.5 (Tax)

$450+22.5=$472 (Full Price of Item)

$472-$75=$397.5 (With Rebate)

final answer=$397.5

what is sine times secant

Answers

Sin time secant = sin(x)*1/cos(x) = tan(x)!!

A parachutist descends 64 feet in 4 seconds. Express the rate of the​ parachutist's change in height as a unit rate.

The unit rate of the parachutist's change in height is __ feet per second.

Answers

To find you answer, divide 64 by 4
Final answer:

To find the unit rate of the parachutist's change in height, we divide the total distance descended (64 feet) by the total time (4 seconds). This yields a unit rate of 16 feet per second.

Explanation:

In order to calculate the unit rate of this parachutist's descent, we need to set up a fraction with the total distance descended over the overall time. In this case, the parachutist descends 64 feet in 4 seconds.

We then solve for the unit rate by dividing the distance descended (64 feet) by the time it took to descend (4 seconds). So, the calculation would be 64 ÷ 4 = 16.

So, the unit rate of the parachutist's change in height is 16 feet per second.

Learn more about Unit Rate here:

https://brainly.com/question/22607023

#SPJ2

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