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[tex]{\huge{\underbrace{\bf{\pink{Answer}}}}}[/tex]

Length of missing leg = 12 km

Using Pythagoras theorem

a² = 15² - 9²

a = √ 225 - 49

a = √144

a = 12 km

HOPE IT HELPS..

(Hypotenuse)² = (Base)²+ (Perpendicular)²

Taking, Hypotenuse As H

Base As B

Perpendicular As P

_________________________

H²= B²+ P²

[tex]15 {}^{2} = 9 {}^{2} + p {}^{2} \\ \\ p {}^{2} = 15 {}^{2} + 9 {}^{2} \\ \\ p {}^{2} = 225 - 81 \\ \\p {}^{2} = 144 \\ \\ p = \sqrt{144} \\ \\ p = 12[/tex]

Answer:

-36

Step-by-step explanation:

See image below:)

Answer:

x = -36

Step-by-step explanation:

subtract 'x' from each side to get:

-18 = 2x + 54

subtract 54 from each side to get:

-72 = 2x

x = -72/2

x = -36

Answer:

4in

Step-by-step explanation:

The width of the rectangle is

36:9=4

Answer:

[tex]\frac{17262}{5825}[/tex]

Step-by-step explanation:

A ratio is another way of expressing a fractional value. One can express a ratio as a fraction. This problem asks one to find the ratio of (A) to (B). Set this up as a fraction, then substitute the given values in and simplify,

[tex]\frac{A}{B}[/tex]

The following information is given.

[tex]A=51786\\B=17475[/tex]

Substitute these values into the problem,

[tex]=\frac{51786}{17475}[/tex]

Both numbers are divisible by (3), thus reduce the ratio,

[tex]=\frac{17262}{5825}[/tex]

Since they have no other factors in common, the final answer is the following,

[tex]=\frac{17262}{5825}[/tex]

Answer:

Step-by-step explanation:

17

Answer: The missing angle is 32 degrees.

Step-by-step explanation: All the degrees in a triangle sum up to 180 degrees. Add the two known angles and subtract the sum from 180

Hope this helps! :)

Answer:

1. n= 20 /13

2. n=10

3. n=35

4. n=9

That's all I could do, I got tired of typing lol

Step-by-step explanation:

1.  4/n=13/5 we cross multiply, (4)*(5)=13*n, 20=13n Flip the equation.  13n=20, divide 13 on both sides, 13n/13=20/13, n= 20 /13

2. 9/6= 15/n, we cross multiply 9*n=(15)*(6), 9n=90, Divide both sides by 9. 9n/9=90/9 n=10

3. 28/4=n/5 Cross-multiply, (28)*(5)=n*(4), 140=4n Flip the equation.4n=140 Divide both sides by 4. 4n/4=140/4 n=35

4. n/6=6/4 we cross multiply,n*(4)=(6)*(6), 4n=36, Divide both sides by 4 4n/4=36/4.  n=9

Answer:

18 GIRLS

Step-by-step explanation:

1. Lets write a fraction (4 boys/12 girls)

[tex]\frac{4 \\boys}{12 \\ \\girls}[/tex]

2. Now lets plug the value in

[tex]\frac{6 \\boys}{x girls}[/tex]

3. In the original equation, the amount of girls is 3 times the amount of boys

4. multiply 6 and 3 = 18

5. 18 girls

Answer:

18 <3

Step-by-step explanation:

Answer:

parallelogram. rectangle,

Step-by-step explanation:

Answer:

A parallelogram.

Step-by-step explanation:

Answer:

-x

Step-by-step explanation:

3x-4x= -x

The answer is minus x

hopes it helps

Answer:

-1x

Step-by-step explanation:

3x from &4x

= -4x-3x (minus minus =plus)

= 1x

The decimal cannot be rounded. It is already rounded to the nearest hundredth.

Answer:

Graphs W and Z

Step-by-step explanation:

Graph of a radical function with even index appears only on one side of the x-axis, while graph of the radical function with odd index appears on both the sides of the x-axis.

Index of the given graphs,

Graph W → Odd index

Graph X → Even index

Graph Y → Even index

Graph W → Odd index

Therefore, graphs W and Z show the radical functions with odd index.

Answer:

The answer is W and Z,  I don't know why people rated it badly.  I just took the practice and got it correct.

Step-by-step explanation:

Answer:

x = 100

Step-by-step explanation:

180-57 would equal 123 which means 123 = x +23 and you can simplify this equation by moving 23 over to 123 and subtracting them leaving x = 100

123 = x+ 23

-23 + 123 = x

100 = x

x = 100

sorry, i'm really bad at explaining

180 degree angles when added

180-57 (for known angle)= 123

x+23=123<- we need to take off the all known angles to get x

123-123=100

x=100 is the answer

Answer:

| PQ | = [tex]\sqrt{29}[/tex]

Step-by-step explanation:

Given

PQ = ai + bj + ck , then

| PQ | = [tex]\sqrt{a^2+b^2+c^2}[/tex]

Here PQ = 4i + 3j + 2k , then

| PQ | = [tex]\sqrt{4^2+3^2+2^2}[/tex] = [tex]\sqrt{16+9+4}[/tex] = [tex]\sqrt{29}[/tex]

Answer

1• 2/5÷7/8

if there is a division sign in between two fractions what u have to do is multiply and, the fraction at the right need to change

=2/5×8/7

=16/35

=0•457

2• 3/4÷6/5

3• 3/5÷7/8

=3/5×8/7

=24/35

=0•6857

4• 3/4÷5/6

=3/4×6/5

=18/20

=0•9

Answer:

(x + 7)^2 + (y + 3)^2 = 4

Step-by-step explanation:

The standard equation of a circle is:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center and r is the radius. We can substitute the information given to obtain:

(x + 7)^2 + (y + 3)^2 = 4

Answer:

y = 3

y = 2

y = 1

y = 0

Step-by-step explanation:

Given expression;

y = (-x/3) + 2

Find:

Computation:

Value of y, if x = -3

y = (-x/3) + 2

y = (3/3) + 2

y = 3

Value of y, if x = 0

y = (-x/3) + 2

y = (-0/3) + 2

y = 2

Value of y, if x = 3

y = (-x/3) + 2

y = (-3/3) + 2

y = 1

Value of y, if x = 6

y = (-x/3) + 2

y = (-6/3) + 2

y = 0

Answer:

33/55

Step-by-step explanation:

Total applicants, n(T) = 350

Female applicants, n(F) = 158

Female and Graduate applicants, n(FnG) = 66

Graduates, n(G) = 110

Probability of female Given that applicant has graduate degree; this is a conditional probability problem;

Recall :

P(A given B) = P(A|B) = P(AnB) / P(B)

Therefore ;

P(F|G) = P(FnG) / P(G) = 66 / 110 = 33/55

Answer:

23.31 pounds of food per day

Step-by-step explanation:

1 mcal = 1000 kcal

0.0333 mcal = x

0.0333 * 1000 = 33.3 kcal of food per kg

A horse which weighs 665 kg ; will this need :

(33.3 *665) = 22144.5 kcal of food per day

Kcal per pound of food purchased = 950 kcal

1 pound = 950 kcal

x pound = 22144.5 kcal

950x = 22144.5

x = 22144.5 / 950

x = 23.31 pounds of food

Step-by-step explanation:

Let X be the number of guilty defendants in Japan

Let y be the number in the US

we have n = 4

p = 0.95

a.) prob of trials in Japan

p(x=4)

= 0.95⁴

= 0.8145

prob of trials in US

p(X=4)

= 0.60⁴

= 0.1296

B. expected number in Japan

E(X) = n*p

= 4*0.95

= 3.8

we find the variance

= n*p(1-p)

= 4*0.95(1-0.95)

= 0.19

standard deviation for japan

= √0.19

= 0.4359

expected number for US

E(X) = n*p

= 4*0.60

= 2.4

we find the variance

= n*p(1-p)

= 4*0.60(1-0.6)

= 0.96

standard deviation for US

= √0.96

= 0.979

c. 2*4 = 8

Answer:

-10, -1

Step-by-step explanation:

See Image below:)

Answer:

Option B. A = (5/6)^-⅛

Step-by-step explanation:

From the question given above, we obtained:

(5/6)ˣ = A¯⁸ˣ

We can obtain the value of A as follow:

(5/6)ˣ = A¯⁸ˣ

Cancel x from both side

5/6 = A¯⁸

Recall:

M¯ⁿ = 1/Mⁿ

A¯⁸ = 1/A⁸

Thus,

5/6 = 1/A⁸

Cross multiply

5 × A⁸ = 6

Divide both side by 5

A⁸ = 6/5

Take the 8th root of both sides

A = ⁸√(6/5)

Recall

ⁿ√M = M^1/n

Thus,

⁸√(6/5) = (6/5)^⅛

Therefore,

A = (6/5)^⅛

Recall:

(A/B)ⁿ = (B/A)¯ⁿ

(6/5)^⅛ = (5/6)^-⅛

Therefore,

A = (5/6)^-⅛

Answer:

16 slices

Step-by-step explanation:

Given :

Number of pizzas ordered = 4

Number of slices per pizza = 4

If 4 pizzas are each sliced into 4 parts ; the we have :

Pizza 1 = 4 slices

Pizza 2 = 4 slices

Pizza 3 = 4 slices

Pizza 4 = 4 slices

Total slices = (4 +4 +4 +4) = 16 slices

[tex]{ \bf{ \underbrace{Given :}}}[/tex]

Radius of the circle = 7 in.

[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]

The area of the circle.

[tex]{ \bf{ \underbrace{Solution :}}}[/tex]

[tex]\sf\orange{The\:area \:of\:the\:circle\:is\:154\:in².}[/tex]

A. 154 inches squared. ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

We know that,

[tex]\sf\purple{Area\:of\:a\:circle \:=\:πr²}[/tex]

[tex] = \frac{22}{7} \times 7 \times 7 \: {in}^{2} \\ \\ = 22 \times 7 \: {in}^{2} \\ \\ = 154 \: {in}^{2} [/tex]

[tex]\boxed{Therefore,\:the\:area\:of\:the\:circle\:is\:154\:in².}[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer:

7. 190

8. C

9. A

10. ~66% (not sure about this one though)

Step-by-step explanation:

Answer:

[tex](b\circ a)(x)=3x-3[/tex] ; the domain is all real numbers

Step-by-step explanation:

[tex]a(x) = 3x+1[/tex]

[tex]b(x)=x-4[/tex]

[tex](b\circ a)(x)=b(a(x))=b(3x+1)=(3x+1)-4=3x+1-4=3x-3[/tex]

Therefore, the domain of the composite function is all real numbers.

9514 1404 393

Answer:

  x = 5

Step-by-step explanation:

The two triangles are similar by the ASA theorem. The ratio of long side to short side in each right triangle is the same:

  x/3 = 7.5/4.5

  x = 3(7.5/4.5) . . . . multiply by 3

  x = 5

Answer:

Z-value is what we called the number of standard deviations from the mean.  62% is 8% one standard deviation to the left, or a Z-value of -1.  94 is 24% to the right of the mean, or 3 standard deviations for a z-value of three.  You can look on a Z-table to find the area between -1 and 3, which is .840 or 84%

Step-by-step explanation:

Please mark me as brainlist

The domain is all possible x values, specified for that function.