The side of the clip on a clip board appears to be a right triangle. The
leg lengths are 2 millimeters and 2.1 millimeters and the hypotenuse
is 2.9 millimeters. Is the side of the clip a right triangle?

Answers

Answer 1

Answer:

Yes, it is a right triangle.

Step-by-step explanation:

Answer 2

Answer:

Yes, this is a right triangle.

Step-by-step explanation:

For this, you would use the Pythagorean theorem a^2 + b^2=c^2

Here we have 2^2+2.1^2=2.9^2

So we must check to see if that checks out.  What we find is that both sides are equal to 8.41 which means we have a right triangle.


Related Questions

Are the ratios 3:4 and 4:3 equivalent??

Answers

Answer:

Those ratios are not equivalent

Step-by-step explanation:

3:4 is not the same as 4:3 because 3:4 means 3 out of 4 but 4:3 means 4 out of 3 which means it is more than one while 3:4 is less than one

What is the value of the
expression? 1 7/8 - 6/4

Answers

The correct answer is 3/8

Rewriting our equation with parts separated
1+7/8−6/4

Solving the fraction parts
7/8 - 6/4?

Find the LCD of 7/8 and 6/4 and rewrite to solve with the equivalent fractions.
LCD = 8
7/8−1 2/8=−58
7
8

12
8
=

5
8
Combining the whole and fraction parts
1−5/8=3/8

Help help help ASAP help

Answers

Answer:

(8, -2)

Step-by-step explanation:

While reflection over x-axis, the x-coordinate remains the same  and the y-coordinate changes to it's opposite.

So,

Rx-axis =>  = (8, -2)

Find simple interest

Principal=rs 4000
Time :2
rate of interest :10%​

Answers

Step-by-step explanation:

please mark me as brainlest

Step-by-step explanation:

Simple Interest is calculated using the following formula: SI = P × R × T/100, where P = Principal , T is time and r is interest rate.

So , by the values given

Principal :-rs 4000

Time :-2

rate of interest :- 10%

[tex] \frac{p \times r \times t}{100} [/tex]

[tex] \frac{4000 \times 10 \times 2}{100} [/tex]

[tex] = 800 \: rs[/tex]

How can I find the value of X?​

Answers

Answer:

D

Step-by-step explanation:

Remark

The first thing you must do is notice that <D = <BEA. Mark it that way on your diagram.

The Second thing you need to notice is that <BEA and <A are equal because <A and <D are marked as equal.

So both the large triangle and the small one are isosceles. because 2 of the 3 angles are equal.

Now are you ready for this? That means that BA = 10 because BA is opposite one of the 2 equal angles in the small triangle. So now you are ready to set up a proportion.

Proportion

AB / AC = AE/AD

Givens

AB = 10

AC = 18

AE = 8

AD = x + 8

Solution

Substitute the Givens into the Proportion.

10/18 = 8/(x + 8)                      Cross multiply

10(x + 8) = 8 * 18                     Simplify both sides

10x + 80 = 144                        Subtract 80 from both sides

10x + 80 - 80 = 144 - 80

10x = 64                                   Divide by 10

10x/10 = 64/10

Answer: x = 6.4

You are considering buying a swimming pool and have narrowed the choices to
two-one that is circular and one that is rectangular. The width of the rectangular pool is three times its depth. Its length is 6 feet more than its width. The circular pool has a diameter that is twice the width of the rectangular pool, and it is 2 feet deeper.

16. Find the ratio of the volume of the circular pool to the volume of the rectangular pool.

17. The volume of the rectangular pool is 2592 cubic feet. How many gallons
of water are needed to fill the circular pool if I gallon is approximately 0.134 cubic foot?

Answers

Answer:

245² ft high or something else

Does x/x+11 simplify to 1/11? Why or why not ?

Answers

Answer:

No.

Step-by-step explanation:

Because only x / 11x simplifies to 1 / 11

X and 11 are not the same, therefore you cannot simplify them

A triangular window is above the door to a café. The length of the base of the window is 12 feet, and the height is 10 feet.



What is the area of the window?

Enter your answer in the box.

ft2

Answers

Answer:

60 ft²

Step-by-step explanation:

A = 1/2 × b × h

A = 1/2 × 12ft × 10ft

A = 1/2 × 120 ft

A = 60ft²

Help picture below problem 12

Answers

Answer:

78°

Step-by-step explanation:

Angles on a straight line = 180°

AD is the straight line

Angle BFA = 48

Angle CFD = 54

54 + 48 = 102

180 - 102 = 78

Therefore, Angle BFC = 78°

When rounding to the nearest hunderth, which numbers below will round to 187.55? Select all that apply

A)187.556
B)188.454
C)187.548
D)187.553
E)187.550

Answers

Answer:

C, D, E,

Step-by-step explanation:

All of these will round to 187.55

6 8/10 + 1 7/10 =
please help meee

Answers

Answer:

8.2

Step-by-step explanation:

Hope this helps....

Answer:

The answer is 8 1 / 2

Step-by-step explanation:

See the Image

Option 1 is easier to understand

Find the surface area of the cone. Use 3.14 for it.
The surface area is about in.2.
look at the picture ⬇️⬇️⬇️

Answers

Answer:  1570 square inches

This value is approximate since pi = 3.14 is approximate.

=======================================================

Work Shown:

r = radius = diameter/2 = 20/2 = 10 inches

L = slant height = 40 inches

SA = surface area of the cone

[tex]\text{SA} = \pi*r^2 + \pi*r*L\\\\\text{SA} = \pi*10^2 + \pi*10*40\\\\\text{SA} = \pi*100 + \pi*400\\\\\text{SA} = 100\pi + 400\pi\\\\\text{SA} = (100+400)\pi\\\\\text{SA} = 500\pi \text{ ... exact surface area in terms of pi}\\\\\text{SA} \approx 500*3.14\\\\\text{SA} \approx 1570\\\\[/tex]

The surface area of the cone is approximately 1570 square inches.

We can abbreviate "square inches" into [tex]\text{in}^2[/tex]

If you want to get a more accurate surface area value, then use more decimal digits of pi.

find the e measure of the missing angle. round to 2 decimal places

Answers

Answer:

theta= 1.085

Step-by-step explanation:

Ms. Gardner is thinking of a number
The number is even.
It is not divisible by 6
It is not divisible by 7
it is not greater than 81
It is not less than 64

Answers

Answer:

74

Step-by-step explanation: 74 is not divisible by 6 or 9not nor 7 and it's less than 81 and greater than 64

The sides of a fair number cube are labeled 1, 2, 3, 4, 5, and 6. What is the theoretical probability that the number cube will land with the number 5 facing up?​

Answers

Answer:

Probability that the number cube will land with the number 5 facing up

=5/6

Hope this helps, just used my mind

Step-by-step explanation:

Please mark me brainliest if correct

how many terms of the geometric progression 6,12,24,......must be taken to get a sum of 49146​

Answers

Answer:

13

Step-by-step explanation:

the sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex]

where a is the first term and r the common ratio

here a = 6 , r = [tex]\frac{12}{6}[/tex] = 2 and [tex]S_{n}[/tex] = 49146 , then

[tex]\frac{6(2^{n}-1) }{2-1}[/tex] = 49146

6([tex]2^{n}[/tex] - 1) = 49146 ( divide both sides by 6 )

[tex]2^{n}[/tex] - 1 = 8191 ( add 1 to both sides )

[tex]2^{n}[/tex] = 8192 ( take log of both sides )

log [tex]2^{n}[/tex] = log 8192 , that is

n log 2 = log 8192 ( divide both sides by log 2 )

n = [tex]\frac{log8192}{log2}[/tex] = 13

Given G.P. :-

[tex]\sf 6,12,24,......[/tex][tex]\sf first \: term,a = 6[/tex][tex]\sf Sum,S_n = 49146 [/tex]

Solution:-

[tex]\red{ \underline { \boxed{ \sf{Common \: Ratio,r = \frac{any\:observed\:term}{previous\:term}}}}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf Common \: Ratio,r = \frac{12}{6} [/tex]

[tex]\quad \boxed{\sf {Common \:Ratio,r = 2 }}[/tex]

Now,

[tex]\green{ \underline { \boxed{ \sf{Sum\: of \: G.P. \: to\: n\:term,S_n = \frac{a(r^n-1)}{r-1}}}}}[/tex]

where

a = first termr = common Ration= number of terms

Putting Values -

[tex]\begin{gathered}\\\implies\quad \sf 49146 = \frac{6(2^n-1)}{2-1} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf \frac{\cancel{49146}}{\cancel{6}} = \frac{2^n-1}{1} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 8191= \frac{2^n-1}{1} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 2^n-1 =8191 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 2^n =8191+1 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 2^n =8192 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 2^n =2^{13}\quad(8192= 2^{13}) \\\end{gathered} [/tex]

Comparing powers on both sides-

[tex]\begin{gathered}\\\implies\quad \boxed{\sf{ n = 13}}\\\end{gathered} [/tex]

[tex]\longrightarrow[/tex]Therefore, to get a sum of 49146 , 13 terms of this G.P. should be taken.

A rectangular container that has a length of 30 cm, a width of 20 cm, and a height of 24 cm is filled with water to a depth of 15 cm. When an additional 6.5 liters of water are poured into the container, some water overflows

Answers

Answer:

Step-by-step explanation:

1.1 L

Given:

A rectangular container that has:

   a length of 30 cm,

   a width of 20 cm, and

   a height of 24 cm

It is filled with water to a depth of 15 cm.

When an additional 6.5 L of water are poured into the container, some water overflows.

Question:

How many liters of water overflow the container?

The Process:

Step-1: calculate the volume of rectangular container

The volume of rectangular container is 14,400 cm³, then converted to 14,4 L.

Step-2: calculate the volume of water filled in the container to a depth of 15 cm

The volume of water filled is 9,000³ cm, then converted to 9 L.

Step-3: calculate the volume of water overflow when an additional 6.5 L of water is poured into a container.

The volume of water overflow equals the initial water volume is added to the additional water volume then subtracted by the container volume.

The volume of water overflow =

Thus, the volume of water overflow of the container is 1.1 L.

How could you correctly rewrite the equation 4(10 + 5) = 6 (12 - 2) using the distributive property?

Answers

Answer:

40+20 = 72-12 is the simplified version.

Step-by-step explanation:

Your equations

4(10+5) = 6(12-2)

Multiply 4 by 10 and 5 for the "4(10+5)"
Multiply 6 by 12 and -2 for the "6(12-2)"

40+20 = 72-12 is the simplified version.

If you want to solve/verify:

40+20 = 72-12

60 = 60

The nanswer is correct.

Answer:

40 + 20 = 72 - 12

Step-by-step explanation:

The number outside the parenthesis will be multiplied to both numbers inside the parenthesis, making the equation

(4 * 10) + (4 * 5) = (6 * 12) + (6 * (-2))

simplifying the equation...

40 + 20 = 72 - 12

Lana used the two blocks pictured in the diagram to build a tower. What is the total volume, in cubic inches, of the tower Lana built?

Answers

Answer:

120

Step-by-step explanation: 4x10x2 +2x5x4 =80+40=120 cubic inches

Answer:

Step-by-step explanation:

An archer releases an arrow with an initial velocity of 20 feet per second at a height of 12 feet. The path the arrow takes can be modeled using the function f(x)=−16x^2+20x+12, where f(x) represents the height, in feet, of the arrow and x represents the time the arrow travels in seconds. What is the maximum height, in feet, reached by the arrow? Round your answer to the nearest hundredth if necessary. Do not include units in your answer.

Answers

Answer:

18.25 feet

Step-by-step explanation:

The given function is quadratic.

The maximum of the quadratic function is its vertex.

The x-coordinate is determined by x = - b/(2a)

x = - 20/(-16*2) = 5/8

Apply the x-value and find the value of f:

f(x) = - 16(5/8)² + 20(5/8) + 12 = 18.25 feet

Answer:

18.25

Step-by-step explanation:

we are given a quadratic function

[tex] f(x) = - 16 {x}^{2} + 20x + 12[/tex]

where:

f(x) represents the heightx represents the time

To find the maximum value of f(x) in other words, the maximum height, in feet, reached by the arrow.

Differentiate both sides:

[tex] f'(x) = \dfrac{d}{dx}( - 16 {x}^{2} + 20x + 12)[/tex]

with sum differentiation rule, we acquire:

[tex] \displaystyle f'(x) = \frac{d}{dx}( - 16 {x}^{2} )+ \frac{d}{dx} 20x + \frac{d}{dx} 12[/tex]

recall that,

differentiation of a constant is equal to 0[tex] \dfrac{d}{dx} {x}^{n} = n {x}^{n - 1} [/tex]

utilizing the rules we acquire:

[tex] \displaystyle f'(x) = - 32 {x}^{} + 20 [/tex]

now equate f'(x) to 0:

[tex] \displaystyle - 32 {x}^{} + 20 = 0[/tex]

solving the equation for x yields:

[tex]x _{max}= \dfrac{5}{8} [/tex]

plug in the maximum value of x into the quadratic function:

[tex]f(x )_{max}= - 16 {( \frac{5}{8} )}^{2} + 20( \frac{5}{8} ) + 12[/tex]

simplify:

[tex]f(x )_{max} = 18.25[/tex]

hence,

The maximum height reached by the arrow is 18.25 feet

Complete or justify each step. 2(2h + 2)2(3h + 5) - 12 Distributive Property 4h + 4 < 6h-2 Simplify (combine like terms). 4h+ 4- 6h 6h-2-6h - 2h + 4<-2 simplify-2h<-6 simplify h>3​

Answers

Answer:

7[tex]\geq[/tex][tex]\frac{h}{14}[/tex]

Step-by-step explanation:

Mark brainliest

99 PTS PLS HELP! Data Set 1 has a mean of 152.7 and a MAD of 2.5.

Data Set 2 has a mean of 170.2 and a MAD of 1.7.

What can be concluded about the two distributions?

Select each correct answer.


The means-to-MAD ratio is 10.

The distributions are different.

The distributions are somewhat similar.

The means-to-MAD ratio is 7.

Answers

Answer:

the means to and reroof is 10

the distributions are somewhat similar

Step-by-step explanation:

Find the simple interest on the loan of $2500 for 2 years at 5%.
$
(Simplify your answer. Round to the nearest cent as needed.)

Answers

Answer:

Step-by-step explanation:

simple interest=prt

p=principle amount

r=rate

t=time

here p=$2500

r=5 %=0.05

t=2 years

simple interest=2500×2×0.05=$250

The simple interest on the loan of $2500 for 2 years at 5% is $250

How to determine the value?

The formula for calculating simple interest is expressed as;

I = PRT/100

Such that the parameters of the formula are;

P is the principal amountI is the simple interestR is the interest rateT is the time

Now, substitute the values, we get;

Simple interest = 2500 × 5 × 2/100

Multiply the values

Simple interest =25, 000/100

Simple interest =$250

Learn about simple interest at: https://brainly.com/question/25793394

#SPJ2

A square with diagonals is shown. The distance from one point to the middle point is 3. The length from the center point to another point is 3.
What is the approximate side length of the square?

3.0 units
3.5 units
4.2 units
4.9 units

Answers

Step-by-step explanation:

in a square 2 sides with a diagonal creates a right-angled triangle, with the diagonal being the Hypotenuse (the side opposite of the 90° angle).

the diagonal is 3+3 = 6 units long.

let's call the square side length "s".

then we have via Pythagoras

6² = s² + s² = 2s²

36 = 2s²

18 = s²

s = 4.242640687 ≈ 4.2 units

12.44 = 4x what does x =

Answers


4 * x = 12.44

4/4 * x = 12.44 / 4

x = 3.11

Answer:

x = 3.11

Step-by-step explanation:

To find the value of 'x', divide both sides of the equation by 4

12.44 = 4x

[tex]\dfrac{12.44}{4}=\dfrac{4x}{4}\\\\\\3.11=x[/tex]

In circle D with m∠CDE = 118 m∠CDE=118 and CD=4 units, find the length of arc CE. Round to the nearest hundredth.

Answers

Answer:

  CE ≈ 8.24 units

Step-by-step explanation:

The circumference of a circle is given by the formula ...

  C = 2πr

Your circle has a radius CD of 4 units, so its circumference is ...

  C = 2π(4 units) = 8π units

__

The arc of interest is 118°. The whole circle is 360°, so the length of the arc is 118/360 times the circumference of the circle:

  CE = (118/360)(8π units) ≈ 8.24 units

In the game of​ roulette, a player can place a ​$7 bet on the number 5 and have a 1/38 probability of winning. If the metal ball lands on ​, the player gets to keep the ​$7 paid to play the game and the player is awarded an additional ​$245. ​ Otherwise, the player is awarded nothing and the casino takes the​ player's ​$7. What is the expected value of the game to the​ player? If you played the game 1000​ times, how much would you expect to​ lose? Question content area bottom Part 1 The expected value is ​$ -0.37. the player would expect to lose about ​$

Answers

Answer:

973.68 times

Step-by-step explanation:

Since you would expect to win 1 in 38, the amount of times you will win in 1000 times is 1000 / 38 which is 26.32. therefore you would expect to lose 1000 - 26.32 times which is 973.68

PLEASE HELP WILL GIVE BRAINLIEST

Answers

The answer is 3 4/5 I believe

If Ryan does a job in 10 hours and with the help of Chelsea they can do it together in 5 hours, how long would it take Chelsea to do it alone?

Answers

It would take her 10 hours. If it is double the time for one person to complete the task versus two, you can guess that the other person takes the same amount of time

On the same coordinate plane mark all points (x y) that satisfy the rule y=3x-2 SHOW GRAPH

Answers

Answer:

*View the attached graph*

Step-by-step explanation:

Hope it helps!

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