In a right triangle, the sides that form the right angle are the legs; the longest side (opposite the right angle) is the hypotenuse. Some textbooks say that when two right triangles have congruent pairs of legs, the right triangles are congruent by the reason LL. In our work, LL is just a special case of one of the postulates in this section. Which postulate is that

Answer:

0.2376, 2.376, 23.76, 237.6

Step-by-step explanation:

Answer:

Volume of a cone = ⅓volume of a cylinder

A nurse read the incorrect unit of measurement and gave a patient 100 mg of the tablet.

The patient at risk and she should inform the doctor immediately.

Unitary method is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Given

Prescription requires 10 mg of tablet.

A nurse read the incorrect unit of measurement and gave a patient .1 g of the tablet.

We know

1 g = 1000 mg

0.1 g = [tex]x[/tex]

⇒ [tex]x[/tex] × 1 = 0.1 × 1000

⇒ [tex]x[/tex] = 100 mg

10 mg < 100 mg

By using unitary method we can say that

A nurse read the incorrect unit of measurement and gave a patient 100 mg of the tablet.

The patient at risk and she should inform the doctor immediately.

Learn more about unitary method here

https://brainly.com/question/22056199

#SPJ2

Given:

The function is:

[tex]f(x)=x^2[/tex]

This function is stretched by a factor of 9 to g(x).

To find:

The equation of function function g(x).

Solution:

The vertical stretch is defined as:

[tex]g(x)=kf(x)[/tex]           ...(i)

If [tex]0<k<1[/tex], then the function f(x) compressed vertically by factor k.

If [tex]k>1[/tex], then the function f(x) stretched vertically by factor k.

The given function f(x) is stretched by a factor of 9 to g(x).  So the value of k is 9.

Substituting [tex]k=9[/tex] in (i), we get

[tex]g(x)=9f(x)[/tex]

[tex]g(x)=9x^2[/tex]            [tex][\because f(x)=x^2][/tex]

Therefore, the required function is [tex]g(x)=9x^2[/tex].

Answer:

2:17 am

Step-by-step explanation:

3 hours after 10:46 would be 1:46

1:46 plus 31 minutes is 1:77 but there are only 60 minutes in an hour so 1:77 is 17 minutes after 2:00, or 2:17 am

Answer:

tax is 11.50 tax and price is 147

Step-by-step explanation:

you would do 135.50 times 8.25% to find the tax which is estimated to $11.50 if you wanted to find the tax and the price you do $135.50 plus $11.50 which is $147

Answer:

x = 4

x = 3

x = 10

x = 3

x = 16

x = 35

Step-by-step explanation:

[tex]\frac{x}{5} :\frac{8}{10}[/tex]

x · 10 = 5 · 8

10x = 40

10x ÷ 10 = 40 ÷ 10

x = 4

[tex]\frac{8}{12} :\frac{2}{x}[/tex]

x · 8 = 12 · 2

8x = 24

8x ÷ 8 = 24 ÷ 8

x = 3

[tex]\frac{15}{3} :\frac{x}{2}[/tex]

x · 3 = 15 · 2

3x = 30

3x ÷ 3 = 30 ÷ 3

x = 10

[tex]\frac{x}{6}:\frac{6}{12}[/tex]

x · 12 = 6 · 6

12x = 36

12x ÷ 12 = 36 ÷ 12

x = 3

[tex]\frac{x}{8} :\frac{4}{2}[/tex]

x · 2 = 8 · 4

2x = 32

2x ÷ 2 = 32 ÷ 2

x = 16

[tex]\frac{10}{2} :\frac{x}{7}[/tex]

x · 2 = 10 · 7

2x = 70

2x ÷ 2 = 70 ÷ 2

x = 35

Answer: 12x^ 3 + 22x^ 2 +26x + 9

Answer:

Option A , should not be rejected

Step-by-step explanation:

From the question we are told that:

Sample 1 [tex]n=25[/tex]

Standard deviation 1 [tex]\sigma_1=30[/tex]

Sample 2 [tex]n=16[/tex]

Standard deviation 2 [tex]\sigma_2=20[/tex]

Level of  confidence [tex]\alpha=95\%=>0.95[/tex]

Generally The Hypothesis are given as

 [tex]H_0:\sigma_1^2=\sigma_1^2[/tex]

 [tex]H_1:\sigma_1^2\neq \sigma_1^2[/tex]

Generally the equation for test Statistics is mathematically given by

 [tex]T=\frac{\sigma_1^2}{\sigma_2^2}[/tex]

 [tex]T=\frac{30^2}{20^2}[/tex]

 [tex]T=2.25[/tex]

Therefore

Critical Value

 [tex]X=(\alpha,df_1)[/tex]

 [tex]X'=(\alpha,df_2)[/tex]

Where

 [tex]df=n-1[/tex]

Therefore

 [tex]X=(0.95,24)[/tex]

 [tex]X'=(0.95,15)[/tex]

From Table

 [tex]T_{Critical}=T_x,T_{x'}[/tex]

 [tex]T_{Critical}=0.41,2.701[/tex]

Therefore

 [tex]T_x<T<T_{x'}[/tex]

Hence,We fail to reject the Null Hypothesis [tex]H_0[/tex]

Option A , should not be rejected

Answer:

-104/41

Step-by-step explanation:

f(8) = -13

g(8) = 41/8

f/g(8) = -13/1 / 41/8 = -(13×8) / (41×1) = -104 / 41

f/g(x) = (3-2x) / (1/x + 5) = (3-2x)/1 / ((1+5x)/x) =

= x×(3-2x) / (1+5x) = (3x - 2x²) / (1 + 5x)

for x=8 this gives the same result.

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Length of each side of the square (s) = 8 cm

Area of the square (a) = ?

[tex]a = s {}^{2} \\ a = 8 {}^{2} \\ a = 8 \times 8 \\ a = 64 \: \: cm {}^{2} [/tex]

✐ Area of the square is 64 square centimetres.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

-9 Degrees is warmer because that number is bigger than -12.

Step-by-step explanation:

Answer:

-9 is warmer

Step-by-step explanation:

Since this negative we want to get closer to zero to be warmer

-12 means you owe 12

-9 means you owe 9

The more you owe means  is further away from zero

-12 < -9 <0

Answer:

[tex]Apple \to 4[/tex]

[tex]Banana \to 4[/tex]

[tex]Cherry \to 5[/tex]

Step-by-step explanation:

Given

[tex]A \to Apple[/tex]

[tex]B \to Banana[/tex]

[tex]C \to Cherry[/tex]

From the rows, the equation is:

[tex]B + 2A =12[/tex] --- (1)

[tex]2B + C = 13[/tex] --- (2)

[tex]A + 2C = 14[/tex] --- (3)

Make A the subject in: [tex]A + 2C = 14[/tex]

[tex]A = 14 -2C[/tex]

Substitute [tex]A = 14 -2C[/tex] in [tex]B + 2A =12[/tex]

[tex]B + 2(14 - 2C ) = 12[/tex]

[tex]B + 28 - 4C = 12[/tex]

Make B the subject

[tex]B = 4C - 28 +12[/tex]

[tex]B = 4C -16[/tex]

Substitute [tex]B = 4C -16[/tex] in [tex]2B + C = 13[/tex]

[tex]2(4C - 16) + C = 13[/tex]

[tex]8C - 32 + C = 13[/tex]

Collect like terms

[tex]8C + C = 13+32[/tex]

[tex]9C = 45[/tex]

Divide by 9

[tex]C = 5[/tex]

Recall that:

[tex]B = 4C -16[/tex]

[tex]B =4*5-16[/tex]

[tex]B =20-16[/tex]

[tex]B =4[/tex]

Recall that:

[tex]A = 14 -2C[/tex]

[tex]A= 14 -2*5[/tex]

[tex]A= 14 -10[/tex]

[tex]A =4[/tex]

Hence:

[tex]Apple \to 4[/tex]

[tex]Banana \to 4[/tex]

[tex]Cherry \to 5[/tex]

Answer:

27 -c

Step-by-step explanation:

less than means it comes after

27 -c

Answer:

27 - c

Step-by-step explanation:

If something is less by a number then it is that number minus whatever it is less by, thus 27 - c.

Answer:

3

Step-by-step explanation:

The absolute value of a number is that number's distance from 0.

Therefore, |-3| = 3.

Answer:

the absolute value is the non-negative value of a real number without regard for its sign. so the absoulute value of -3  is 3 you just change the negative sign to a positive.

Step-by-step explanation:

3 is the answer

Answer:

2nd option

y > 6 and y < 2

Step-by-step explanation:

as the value of y can not be greater than 6 and less than 2 at the same time, the 2 inequalities have no common solutions

theefore no solution

Answer:

B. NO

Step-by-step explanation:

Figure B can only be a scale copy of Figure A if the ratio of their corresponding side lengths are equal.

Let's find out:

9/3 = 3

7.3/2.2 ≈ 3.3

Thus:

9/3 ≠ 7.3/2.2

Since the ratio of their corresponding side lengths are not equal, therefore Figure B is not a scale copy of Figure A.

The answer is NO.

Answer:

y-15=3x balakaksnzujsbhzbskndh

Answer:

x = - 6 , y = - 3

Step-by-step explanation:

y - 15 = 3x  => y = 3x + 15 ------- ( 1 )

-2x + 5y = - 3 --------- ( 2 )

Substitute ( 1 ) in ( 2 ) :

-2x + 5 ( 3x + 15) = - 3

-2x + 15x + 75 = - 3

 13x = - 3 - 75

 13x = - 78

   x = - 6

Substitute x in ( 1 ) :

         y = 3x + 15

            = 3 ( - 6 ) + 15

            = - 18 + 15

          y  = - 3

Answer: 134.0

Step-by-step explanation: Formula for volume of a cone: pi*r^2 h /3

Plug in the height, h, radius, r, and pi, 3.14:

(3.14) * (4^2) * (8/3)

V = 134.0 inches cubed

Hope this helped.

Answer:hbwufvj6y

Step-by-step explanation:

Answer:

0.180144 < p < 0.339856

Step-by-step explanation:

According to the Question,

⇒ standard error of the sample is square root(0.26 * (1-0.26) / 200) = 0.031

⇒alpha(a) = 1 - 99/100 = 0.01

⇒critical probability(p*) = 1 - a/2 = 0.995

⇒assuming a normal distribution, look for the z-score associated with 0.995 cumulative probability , z-score = 2.576

⇒margin of error(ME) = 2.576 * 0.031 = 0.079856

0.180144 < p < 0.339856

Answer:

[tex]\sqrt{(y2-y1)^{2} +(x2-x1)^{2} }[/tex]

[tex]\sqrt{9+36}[/tex]

[tex]\sqrt{45}[/tex]

Step-by-step explanation:

Answer:

P(10) = 26237[1 + 0.024]^10

Step-by-step explanation:

From the information given :

Initial population, P0 = 26, 237

Annual growth rate, r = 2.4%

Number of Years, n = 10

The general exponential growth relation is give as :

P(x) = P0(1 + r)^n

Where ;

P(x) = population after x years

P0 = Initial population

r = growth rate

n = number of years

P(10) = 26237[1 + 0.024]^10

Answer:

2:3

16:24

400:600

Step-by-step explanation:

divide 2 and you get 2:3

multiply 4 and get 16:24

multiply 100 and get 400:600

Answer:

A

Step-by-step explanation:

[tex]\sqrt{(x+4)^2} = 2\\(x+4)^2 = 4\\[/tex]

x + 4 = ± 2

x = -2

x = -6

Answer:

B. The x variable appears in the denominator.

Step-by-step explanation:

Given

[tex]\frac{5}{x} - y = 1[/tex]

Required

What makes it not linear

First, make y the subject

[tex]y = \frac{5}{x}+1[/tex]

A linear equation is represented as:

[tex]y = mx + b[/tex]

Notice that the exponent of x in the general form is: 1

This means that x has to appear as a numerator

In [tex]y = \frac{5}{x}+1[/tex], the exponent of x is -1

This means that x has to appear as a denominator

Hence, (b) is true

Answer:

a = 138

Step-by-step explanation:

Angle a is a supplementary angle to 42 and forms 180

a = 180 - 42