Use the Pythagorean Theorem to find the missing side
of right triangle RST in simplest radical form.

Answer:

12 ft

Step-by-step explanation:

we know the areas of the 2 top squares.

the area of a square is simply the square of its side length.

=>

81 ft² means side length is 9 ft.

225 ft² means side length is 15 ft.

these are also 2 of the sides of the right triangle.

the third side we get by using Pythagoras :

c² = a² + b²

with c being the side opposite of the 90 degree angle.

so,

225 = 81 + x²

as x is also the third side of the triangle.

=> 144 = x²

x = 12 ft

Answer:

h(2) = 7/4

h(-3) = -2

h(-2) = 11/(-8)

h(-3) - h(-2) = -(5/8)

Step-by-step explanation:

h(x) = (2x^2-x+1) / (3x-2)

h(2) = (2*2^2 - 2 + 1) / (3*2 - 2)

       = (8 - 2 + 1) / (6 - 2)

       = 7/4

h(-3) = {2*(-3)^2 - (-3) + 1} / {3*(-3) - 2}

        = (18 + 3 + 1) / (-9 - 2)

        = 22/(-11)

        = -2

h(-2) = {2*(-2)^2 - (-2) + 1} / {3*(-2) - 2}

        = (8 + 2 + 1) / (-6 - 2)

        = 11/(-8)

h(-3) - h(-2) = (-2) - {11/(-8)}

                  = -(5/8)

Hope this will help. Please give me brainliest.

[tex]h(3) - h( - 2) = - \frac{5}{ 8} \\ \\ [/tex]

[tex]\boxed{h(x) = \frac{2 {x}^{2} - x + 1}{3x - 2}}[/tex]

[tex]h(2) = \frac{2 {(2)}^{2} - (2) + 1}{3(2) - 2} [/tex]

[tex]h(2) = \frac{2 {(4)} - 2 + 1}{6 - 2} [/tex]

[tex]h(2) = \frac{ 8 - 1}{4} [/tex]

[tex]h(2) = \frac{7}{4}[/tex]

[tex]h( - 3) = \frac{2 {( - 3)}^{2} - ( - 3) + 1}{3( - 3) - 2} \\ h( - 3) = \frac{2 (9) + 3 + 1}{ - 9- 2} \\ h( - 3) = \frac{18 + 4}{ - 11} \\ h( - 3) = \frac{22}{ - 11} \\ h(-3) = -2[/tex]

[tex]h( - 2) = \frac{2 {( - 2)}^{2} - ( - 2) + 1}{3( - 2) - 2} \\ h( - 2) = \frac{2 (4) + 2+ 1}{- 6 - 2} \\ h( - 2) = \frac{8 + 3}{- 8} \\ h( - 2) = \frac{11}{- 8} [/tex]

[tex]h(3) - h( - 2) = -2 - \frac{11}{- 8} \\=-2 + \frac{11}{ 8} \\ =- \frac{5}{ 8} [/tex]

Answer:

x=11

Step-by-step explanation:

the question would be to find x

3x + 28 + 5x + 52 + 2x - 10=180 (sum of angles in a triangle is equal to 180⁰)

10x + 70=180

10x=180-70

10x=110

x=110/10

x=11

Answer:

64 outcomes

Step-by-step explanation:

Given the following data;

Number of coins = 6

Number of outcomes for a single coin = 2

A single coin comprises of a head (H) and a tail (T), thus, the number of outcomes for a single coin is two (2).

To find how many possible outcomes we would have from tossing six coins at the same time, we would use the following formula;

[tex] Number \; of \; outcomes = X^{n} [/tex]

Substituting the values, we have;

Number of outcomes = 2⁶

2⁶ = 2 * 2 * 2 * 2 * 2 * 2

2⁶ = 64

Number of outcomes = 64

Therefore, the number of outcomes for a single coin tossed at the same time is equal to sixty four (64). It would have a total of 32 heads (H) and a total of 32 tails (T).

Answer: 24- b 25- c 26- b 27- c

Step-by-step explanation:

Answer:

The one you selected is correct! You can check it by using the four values of m and w given.

Answer:

A = $3,198.17

A = P + I where

P (principal) = $1,600.00

I (interest) = $1,598.17

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 7.72/100

r = 0.0772 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 1,600.00(1 + 0.0772/12)(12)(9)

A = 1,600.00(1 + 0.006433333)(108)

A = $3,198.17

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $1,600.00 at a rate of 7.72% per year compounded 12 times per year over 9 years is $3,198.17.

QUESTION:- Find the value of x.

A. 30

B. 60

C. 90

D. 120

ANSWER:-

ALL ANGLE SUMS HAVE SAME LOGIC OF STRAIGHT LINE ANGLES = 180°

[tex]y + x + y - x = 180[/tex]

[tex]2y = 180 \\ y = 90[/tex]

[tex]2x + y + x = 180[/tex]

[tex]3x + 90 = 180 \\ 3x = 90 \\ x = 30 \degree[/tex]

Answer:

30 degrees

Step-by-step explanation:

2x + y + x = 180

y + x + y - x = 180

3x + y = 180

2y = 180

y = 90

3x + 90 = 180

3x = 90

x = 30

Answer:

A. The graph is a line that goes through the points (9,0) and (0,6).

Step-by-step explanation:

Given

[tex]4x + 6y = 36[/tex]

Required

Select the true options

[tex](a)\ (9,0)\ and\ (0,6)[/tex]

This implies that"

[tex](x_1,y_1)= (9,0)[/tex]

[tex](x_2,y_2)= (0,6)[/tex]

So, we have: [tex](x_1,y_1)= (9,0)[/tex]

[tex]4x + 6y = 36[/tex]

[tex]4 * 9 + 6 * 0 = 36 + 0 = 36[/tex]

So, we have: [tex](x_2,y_2)= (0,6)[/tex]

[tex]4 * 0 + 6 * 6 = 0 + 36 = 36[/tex]

Hence (a) is true.

Answer:

the answer would be a-The graph is a line that goes through the points (9,0) and (0,6).

Step-by-step explanation:

i took the test

Answer:

D. 2^2+1.7^243+40−−−−−√

Step-by-step explanation:

The computation is shown below:

Given that

Sample 1

n_1 = 43

mean  = 18

s_1 = 2

Sample 2

n_2 = 40

mean = 20

s_2 = 1.7

Now the standard error is

[tex]= \sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} } \\\\= \sqrt{\frac{2^2}{43} + \frac{1.7^2}{40} }[/tex]

= 0.4065

Answer:

( 1.  6 )

Step-by-step explanation:

Use the formula:

x = - b/2a

to find the maximum and minimum.

Answer: (1,  6 )

Step-by-step explanation:

This should help:

x = - b/2a

Answer:

07.50086956521739% (round it)

Step-by-step explanation:

Find what percent 43.13 (Number A) is of 575 (Number B). To do this you divide Number A by Number B.

43.13 / 575 = 0.0750086956521739

Move the decimal point two places to the right.

007.50086956521739

Get rid of the zeros.

7.50086956521739

Answer:

07.5%

Step-by-step explanation:

Answer:

4 cookies

Step-by-step explanation:

24 x (1/6) = 24/6 = 4

Answer:

4

Step-by-step explanation:

1/6 can be represented as a percentage 1 divided by 6 = 0.1667...multiply that by 24 and you get 4 with a few decimals that round up to four as you would not want to give them a partial cookie....

[tex] \huge \underline \mathcal{Answer}[/tex]

The given angles forms linear pair, and we know the angles forming linear pair are supplementary,

Therefore,

Angle MHJ + Angle MHL = 180°

Let's solve :

Value of variable m = 10°

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

It is airoplane and ambulance

Answer:

Es el acronimo de la (Contraloría General de la República

Step-by-step explanation:

Espero ayudarte suerte

Significado de SGR. El significado de la sigla SGR es el acrónimo de Sociedades de Garantía Recíproca. El significado de la sigla SGR es el acrónimo de sociedad de garantía recíproca y pertenece a la categoría Europa. El significado de la sigla SGR es el acrónimo de Sociedad de Garantías Recíprocas.

Answer:

1.  27cm3

2.  64cm3

3.   512cm3

4.  ?

Step-by-step explanation:

Answer:

4.2 hours

Step-by-step explanation:

Answer:

(14-9i)+(2+3i) = 16-6i

Step-by-step explanation:

We need to find the equivalent of (14-9i)+(2+3i).

We need to add the two expressions.

(14-9i)+(2+3i) = 14+2 -9i+3i

= 16-6i

Here, the real part is 16

The imaginary part is -6

Hence, the required answer is equal to 16-6i.

Step-by-step explanation:

|6p + 3| > 15

6p = 15 - 3

6p = 12

divide both sides by 6

6p÷6 = 12 ÷ 6

p = 2

hence, p >2 or p < - 3

the inverse of ƒ(x) = x²– 16

[tex] {f}^{ - 1} (x) = \sqrt{x + 16} [/tex]

Answer:

The inverse function should be f

[tex] {f}^{ - 1}( x) = \sqrt{x + 16} [/tex]

this is the correct answer

Answer:

a. 105.84 cm²

b. 136 cm²

Step-by-step explanation:

a. The prism is a cube

Surface area of the cube = 6a²

a = 4.2 cm

Plug in the value

Surface area = 6*4.2²

Surface area = 105.84 cm²

b. The prism is a triangular prism

Surface area of triangular prism = bh + L(s1 + s2 + s3)

b = 6 ft

h = 4 ft

L = 7 ft

s1 = 5 ft

s2 = 5 ft

s3 = 6 ft

Surface area = 6*4 + 7(5 + 5 + 6)

Surface area = 24 +7(16)

Surface area = 24 + 112

Surface area = 136 cm²

Answer:

b

Step-by-step explanation:

Answer:

-4374

Step-by-step explanation:

Given :

a1 = 2 ; r = - 3

The nth term of a geometric series :

A(n) = ar^(n-1)

The 8th term :

A(8) = 2(-3)^(8-1)

A(8) = 2(-3^7)

A(8) = 2(−2187)

A(8) = - 4374

9514 1404 393

Answer:

  (b)  f(x) = log(x) +4

Step-by-step explanation:

The x-intercept of any log function is (1, 0). The graph here has been shifted 4 units up from that, so is a graph of ...

  f(x) = log(x) +4

9514 1404 393

Answer:

  (b) 19.7 ft

Step-by-step explanation:

The perimeter of the figure is the sum of the lengths of the 3 straight sides and half the circumference of a 3-ft circle.

  P = 6 + 3 + 6 + (1/2)(π)(3) = 15 +3/2π ≈ 19.712 . . . feet

The perimeter is about 19.7 feet.

Answer:

cos x° = adjacent ÷ hypotenuse

Step-by-step explanation:

Option (A) cos x° = adjacent ÷ hypotenuse is correct because cos is the ratio of the side adjacent to the angle to the hypotenuse option (A) is correct.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have given trigonometric ratios in the options.

As we know the trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

In the right angle triangle (It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base)

cos is the ratio of the side adjacent to the angle to the hypotenuse

cos x° = adjacent ÷ hypotenuse

tan is the ratio of the side opposite to the angle to the side adjacent to the angle.

tan x° = opposite ÷ adjacent

Thus, option (A) cos x° = adjacent ÷ hypotenuse is correct because cos is the ratio of the side adjacent to the angle to the hypotenuse option (A) is correct.

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ5

Answer:

k=18, general solution does not exist.

Step-by-step explanation:

If f(t)=y=e3t is a solution to the differential equation

d2ydt2−9dydt+ky=0,

then

y = e^(3t)

y' = dy/dt = 3y

y'' = d2ydt2 = 9y

y'' - 9y' + ky = 0

9y - 9(3y) + ky = 0

(9-27+k)y = 0

solve for y

(9-27+k) = 0

k = 18

general solution is when y=e^(3t)=0, or t-> -infinity