what is 1 over 2 multiplied by 1 over 5?

Rule: If x is the leg of a 45-45-90 triangle, then x*sqrt(2) is the hypotenuse.

We can prove this by showing that x^2+x^2 = (x*sqrt(2))^2 is an identity. It's from the pythagorean theorem a^2+b^2 = c^2.

Put another way, if we know that a = x and b = x are the two congruent legs, then x^2+x^2 = c^2 leads to c = x*sqrt(2). This triangle is known as an isosceles right triangle.

So if 4*sqrt(2) is the hypotenuse, we match that up with the template x*sqrt(2) and see that x = 4 must be the case.

Answer: 303

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

So we have 12 1/2 - (-4 1/2)

6-(-2)

6+2

8

[tex] \sf12 \frac{1}{2} - ( - 4 \frac{1}{2} ) = \boxed{ ? }[/tex]

[tex] \sf: \implies \sf12 \frac{1}{2} - ( - 4 \frac{1}{2} ) = \boxed{ ? }[/tex]

Firstly, converting mixed fractions to improper fractions, We get,

[tex] \sf: \implies \frac{25}{2} - ( - \frac{9}{2} ) = \boxed?[/tex]

Now, solving the parentheses, We get,

[tex] \sf: \implies \frac{25}{2} + \frac{9}{2} = \boxed ?[/tex]

Since, We have like terms, We will directly add up the two fractions, We get,

[tex] \sf: \implies \frac{25 + 9}{2} = \boxed?[/tex]

Calculating further, We get,

[tex] \sf: \implies \frac{34}{2} = \boxed?[/tex]

Bringing the fraction to it's lowest terms, We get,

[tex] \sf: \implies \frac{ \cancel{34} \: \: \tiny{7}}{ \cancel2} = \boxed7[/tex]

[tex] \sf :\implies \sf12 \frac{1}{2} - ( - 4 \frac{1}{2} ) = \red{ \boxed{ \bf7 }}[/tex]

Answer:

x = 16

Step-by-step explanation:

*A triangle's interior angles always add up to 180 degrees*

1. The square on the left-hand side means 90 degrees

2. To find the degrees on the 150 degrees side we need to subtract 180 from 150  as the line it's on equals 180 degrees

180 -151 = 29

3. Now we know 3 out of the two angles, so if we add them up and subtract them from 180 degrees we will have the 3rd angle

29 +90 = 119

180 - 119 = 61

4. Now we can put that in with the equation

4x + 3 = 61

5. Solve

4x - 3 = 61

    + 3   +3

4x = 64

/4     /4

x = 16

Answer:

x and y =   5√2.

Step-by-step explanation:

This is a 45:45:90 triangle so length of x = length of y.

In this triangle the ratio of the sides is 1:1:√2

Finding length of x and y:

1/√2 = x/10

√2x = 10

x = 10/√2

=  10√2/2

=  5√2.

Answer:

X would be equal to 37 degrees

Step-by-step explanation:

Answer:

x=37

Step-by-step explanation:

118+25+x= 180

143 + x = 180

= 37

check answer by 25+118+37=180

Answer:

The answer would be 17

Step-by-step explanation:

The answer would be 17 because if you add 12 plus 5 That would be your answer

Answer:

( Hint)

Step-by-step explanation:

55-5= 5x>-25-5

50= 5x>-30

10=x>-6

Answer:

Yea you correct, you answer is right

Answer:

p because variables are shown by letters not numbers

Hope this helped:)

Step-by-step explanation:

Answer:

The answer is r^10s^6/r-5s^9= r^10/r-^5 = r^15

Step-by-step explanation:

the answer is r^15

Answer: 384

Step-by-step explanation: 10% also equals 0.1 so, 3840*0.1 = 384.

Answer:

$3840

Step-by-step explanation:

10%= x/10 and the x is equal to 3840. 3840/10=384 now that I know what %10 of 3840 I can take off the discount price onto the original price,                 3840-384=3456. So 3456 is the final price after including the 10% discount.

Answer:

Long part= 45

Short part= 25

Step-by-step explanation:

Let the short part of the stick be x

Let the long part be x+20

The total length of the stick is 70cm

x + (x+20)= 70

x+x+20= 70

2x+20= 70

2x= 70-20

2x= 50

x= 50/2

= 25

Longer part length= 20+25

= 45

The short part is 25

Step-by-step explanation:

I=?

P= $4500

R=8%=0.08

T=1 year

8%*0.01= 0.08

I=(4500)(0.08)(1)

(4500)(0.08)=360

360*1=360

The interest after one year is $360

Answer:

I believe the answer is 58.1 degrees

Step-by-step explanation:

acrsin 45/53=58.1

45/53 is the sin of P

Answer:

11.70

Step-by-step explanation:

d=√((16-5)^2+(14-10)^2)=11.7046999...

Answer:

G = 50

Step-by-step explanation:

50 is the initial after-cost, right?

answer is : The function formula will be

Since we have given that

Charges per each magical broom he makes for his customers = 125 gold pieces

Charges of one time fees = 50 gold pieces

Let the number of magical brooms he makes be 'x'.

Let the total number of gold pieces be 'G'.

According to question, it becomes

Step-by-step explanation:Since we have given that

Charges per each magical broom he makes for his customers = 125 gold pieces

Charges of one time fees = 50 gold pieces

Let the number of magical brooms he makes be 'x'.

Let the total number of gold pieces be 'G'.

According to question, it becomes

Since we have given that

Charges per each magical broom he makes for his customers = 125 gold pieces

Charges of one time fees = 50 gold pieces

Let the number of magical brooms he makes be 'x'.

Let the total number of gold pieces be 'G'.

According to question, it becomes

Answer:

The scale is 1:200

Step-by-step explanation:

On the plan we have the drawing as 6 cm

In real representation, we have the distance as 12 m

Firstly we have to convert to same unit

In this case, we use the cm for convenience

Mathematically, 100 cm is 1 m

Thus, 12 m

will be 12 * 100 = 1,200 cm

So, we have the ratio as;

6 cm : 1,200 cm

and that is 1:200 (since 6/1200 = 1/200 and in ratio form, we have that as 1:200)

Answer:

13cm

Step-by-step explanation:

Let the given lengths be the opposte amd adjacent sides of a right triangle'

The missing side will be the hypotenuse

Using the pythagoras theorem;

hyp^2  = 5² + 12²

hyp² = 25 + 144

hyp² = 169

hyp =√169

hyp = 13cm

Hence the missing one is 13cm

Answer:

339.29

Step-by-step explanation:

Use formula for cylinder: [tex]V=\pi r^2h[/tex].

Note: I rounded to the nearest hundreth.

Answer:

35.2 ; 4.75

Step-by-step explanation:

Given that :

Mean age, μ = 35.2 years

Standard deviation, σ = 9.5 years

The mean of the sampling distribution will be equal to the population mean, μ, this is according to the central limit theorem.

The standard deviation of the sampling distribution, is given by : σ/√n

n = sample size = 4

SD of sampling distribution = 9.5/√4 = 9.5 / 2 = 4.75

Answer:

1

Step-by-step explanation:

m/8n > 4/8(1/2) ( since its 1/2 all u need to do is change the fraction to whole number which is 1/2 = 0.5)

The given will become 4/4 then simplest form is 1

Answer:

There are 1766 chipmunks in the population

Step-by-step explanation:

Number of individuals increasing per year = 265

Rate of increase = 0.15

Rate of increase = increase in number of individuals in a given population /total population

Substituting the given values, we get -

0.15 = (265/total population)

Total population = 265/0.15 = 1766

Answer: s (greater than or equal to) 44.5

Step-by-step explanation:

current # of knives = 214

knives per set = 12

knives needed = 748

# of sets = s

knives per set x (times) # of sets + current # of knives (greater than or equal to) knives needed

12s + 214 (greater than or equal to) 748

SOLVE:

12s + 214 (greater than or equal to) 748

-214 -214

12s (greater than or equal to) 534 you need to divide both sides by 12

s (greater than or equal to) 44.5

Answer:

110

Step-by-step explanation:

5/6 of 132 is 110

Step-by-step explanation:

y = -4x + 17

=> (4,1)

x=4 --> y = -4(4)+17=-16+17=1

(4,1) matched

=> (2,9)

x=2 --> y=-4(2)+17=-8+17=9

(2,9) matched

Answer:

The answer is -2 ≥ 20

Step-by-step explanation:

You add -4 and 2

Answer:

The distance between them is 5km

Step-by-step explanation:

Given

[tex]Car\ A =4km[/tex]

[tex]Car\ B =3km[/tex]

Required

Distance between them

The scenario can be represented with the attached image

The distance between them is then calculated using Pythagoras theorem

[tex]d^2 = 4^2 +3^2[/tex]

[tex]d^2 = 16 +9[/tex]

[tex]d^2 = 25[/tex]

Take square roots of both sides

[tex]d = \sqrt{25[/tex]

[tex]d = 5[/tex]

Answer:

5/8 + 3/4= 11/8

-2/3-5/6 =-3/2

Since the second is dividing the first

11/8 ÷ -3/2

Flipping; Then change the bottom to the top(Do this to the second fraction)

11/8 x -2/3

=-11/12.