In right A ABC, B is a right angle and sin _ C= x.
sin A=
V1 – *2
22
Ох,
O2 - 1
+1

Answer:

20 < L < 24

Step-by-step explanation:

We know that in any given triangle, the length of two sides is always greater than the length of the third side.

Since the sail is a triangle having length of one side as 22 feet and the length of another side as 2 feet, and let L be the length of the third side.

It follows from our triangle rule of sides above that

22 + 2 > L  (1)

22 + L > 2   (2)and

L + 2 > 22   (3)

It follows that from (1)

22 + 2 > L  

⇒  24 > L (4)

It follows that from (2)

22 + L > 2

⇒ L > 2 - 22

⇒ L > - 44  (5) and

It follows that from (3)

L + 2 > 22

⇒ L > 22 - 2

⇒ L > 20  (6)

Since from (5) and (6),

L > -44 and L > 20

and 20 > -44 ⇒ L > 20

⇒ 20 < L (7)

From (4) 24 > L ⇒ L < 24 (8)

Combining (7) and (8), we have

20 < L < 24

So, the possible range of values of the third side are 20 < L < 24

Answer:

  r = K * q / V

Step-by-step explanation:

V =  K * q / r

[tex] \Huge \underline {\mathcal {{{\color{orange}{108 \degree}}}}} [/tex]

Option ( A ) is the correct answer.

Answer:

3

Step-by-step explanation:

Given the polynomial : p(x)=1−2x2−3x3+4x

Rearranging : p(x) = -3x³ - 2x² + 4x + 1

Looking at the polynomial Given, we can see that it is a univariate polynomial, that is it has only one variable which is x. Thus for polynomials of this sort, the order of the polynomial is the highest exponent occurring in the polynomial equation. Therefore, the order of the polynomial above is 3, because the highest power of the function is 3.

This means that those with 4 as their highest exponent are of order 4 and those with highest exponent as 2 are of order 2.

Answer:

at x = 11

0 =-4.5X +49.5

x = 49.5/4.5

x = 11

Step-by-step explanation:

x1 y1  x2 y2

1 45  3 36

(Y2-Y1) (36)-(45)=   -9  ΔY -9

(X2-X1) (3)-(1)=    2  ΔX 2

slope= -4  1/2    

B= 49  1/2    

Y =-4.5X +49.5    

Step-by-step explanation:

-5x - 4y= -117x + 3y = 18

-5x +117x = 3y + 4y = 18

112x = 7y = 18

Answer:

31 square units

Step-by-step explanation:

See the picture below.

Each full or almost full square was counted first. There are 24 of them.

Then parts of squares of counted together to add to 1 square. They are color coded in the figure below. After adding them all up, the total was 31.

The area of the irregular shape is,

⇒ 27.5 square units

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The irregular shape is very similar to a trapezium with coordinates are,

(-3,3), (2, 2), (2, -2) and (-3, -4).

Now, We know that;

Area of a trapezium is,

⇒ [(a + b)/2] × h

where, a and b refer to the two parallel sides and h is the distance between them.

Hence,  From the above coordinates:

a = 7 length units,

b = 4 length units and

h = 5 length units.

Therefore, We get;

The approximate area = [(7 + 4)/2]5

                                   = 27.5 square units

Thus, The area of the irregular shape is,

⇒ 27.5 square units

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ7

Answer:

[tex]8x^{4}[/tex]

3n-10

(a÷5)+12

Step-by-step explanation:

Numbers listed as in the picture.

70) 8 * [tex]x^{4}[/tex]= [tex]8x^{4}[/tex]

71) 3 * n -10= 3n-10

72) 12+ a/5= (a÷5)-12

Answer:

Mean = 30516.67

Standard deviation, s = 3996.55

P(x < 27000) = 0.0011518

Step-by-step explanation:

Given the data:

28500 35500 32600 36000 34000 25700 27500 29000 24600 31500 34500 26800

Mean, xbar = Σx / n = 366200 /12 = 30516.67

Standard deviation, s = [√Σ(x - xbar) / n-1]

Using calculator, s = 3996.55

The ZSCORE = (x - mean) / s/√n

Zscore = (27000 - 30516.67) / (3996.55/√12)

Zscore = - 3516.67 / 1153.7046

Zscore = - 3.048

P(x < 27000) = P(Z < - 3.049) = 0.0011518

Answer:

[tex]4.\\\text{E. }x=5, x=-6,\\\\5.\\\text{A. }x=7, x=-3\\\\\text{18.}\\\text{D. No mistakes.}[/tex]

Step-by-step explanation:

For [tex]a=|b|[/tex], there are two cases:

[tex]\begin{cases}a=b,\\a=-b\end{cases}[/tex]

Question 4:

Given [tex]5|2x+1|=55[/tex],

Divide both sides by 5:

[tex]|2x+1|=11[/tex]

Divide into two cases and solve:

[tex]\begin{cases}2x+1=11,2x=10, x=\boxed{5}\\-(2x+1)=11,2x+1=-11, 2x=-12, x=\boxed{-6}\end{cases}[/tex]

Therefore, the solutions to this equation are [tex]\boxed{\text{E. }x=5, x=-6}[/tex].

Question 5:

Given [tex]\frac{1}{2}|4x-8|-7=3[/tex],

Add 7 to both sides:

[tex]\frac{1}{2}|4x-8|=10[/tex]

Multiply both sides by 2:

[tex]|4x-8|=20[/tex]

Divide into two cases and solve:

[tex]\begin{cases}4x-8=20,4x=28, x=\boxed{7}\\-(4x-8)=20, 4x-8=-20, 4x=-12, x=\boxed{-3}\end{cases}[/tex]

Therefore, the solutions to this equation are [tex]\boxed{\text{A. }x=7, x=-3}[/tex]

Question 18:

There are no mistakes in the solution shown. The answer properly isolates the term with absolute value with no algebraic mistakes. Following that, the answer divides the equation into both absolute value cases and solves algebraically correctly. Therefore, the correct answer is [tex]\boxed{\text{D. No mistakes.}}[/tex]

Answer:

-1

Step-by-step explanation:

Increasing the x-value by one results in the y-value decreasing by 1. Therefore, the average rate of change is -1.

Answer: -1

Step-by-step explanation: ;)

Answer:

B For each x increase of 1, the y increases by a common factor of 3

Step-by-step explanation:

so it means that y is adding 3 every time x adds 1

Answer:D

The last one explanation of that graphic line is correct answer.

we have to find the value of the x°=<GHC

In the triangle BDH,

<D=31°

<B=47°

we know that,

Sum of three angle of a triangle is 180°

According to the question,

<D+<B+<BHD=180°

31°+47°+<BHD=180°

78°+<BHD=180°

<BHD=180°-78°

<BHD=102°

But,

<GHC and <BHD forms a straight line

so,

<GHC+<BHD=180°

102°+x=180°

x=180°-102°

x=78°

Therefore,

The value of x is 78°

Step-by-step explanation:

HELIUM: To fill air balloon

ARGON: Used for filling incandescent metal filament electric bulbs

Answer:

Hello,

3

Step-by-step explanation:

Let say x the whole number not null to find.

[tex]x+\dfrac{1}{x} =\dfrac{10}{3} \\\\\\\dfrac{x^2+1}{x} =\dfrac{10}{3} (reducing\ to\ the\ same\ denominator)\\\\3x^2+3=10x\ (cross\ products)\\\\\\3x^2-10x+3=0\ (passing\ all\ terms\ in\ the\ first\ member)\\\\\Delta=10^2-4*3*3=64=8^2\\\\x=\dfrac{10-8}{6} =\dfrac{2}{6}= \dfrac{1}{3} \ not \ a \ whole\ number\\\\x=\dfrac{10+8}{6} =3\\\\[/tex]

Answer:

92

Step-by-step explanation:

= 3200 ÷ 35

= 91.43

round up to nearest whole number

= 92 km

Answer:

Numbers greater than or equal to 0.

Step-by-step explanation:

The domain of this function is {x∈R | x≥0}, meaning that x can be anything greater than or equal to 0.

Answer:

x = 17/4

Step-by-step explanation:

Let x = the number

8x-14 = 4x+3

Subtract 4x from each side

8x -14-4x = 4x+3-4x

4x-14 = 3

Add 14 to each side

4x-14+14 = 3+14

4x = 17

Divide by 4

4x/4 = 17/4

x = 17/4

Answer:

divide both sides by -9.

because of the negative sign of this multiplication factor the inequality changes from "greater than" to "less than".

x < -3

that is the solution to this inequality.

Answer:

119.95 years

Step-by-step explanation:

The general equation is given by:

[tex]P = A*(1 + \frac{r}{n} )^{n*t}[/tex]

Where:

A is the initial amount, we know that the first deposit is of $150, then:

A = $150

t is the variable, in this case, is the number of years.

n =  number of times that the interest is compounded in one unit of t, because the interest is compounded monthly, we have n = 12.

r = interest rate in decimal form.

r = 2.5%/100% = 0.025

Replacing these in our equation, we get that:

[tex]P = 150*(1 + \frac{0.025}{12} )^{12*t}[/tex]

Now we want to find the time such that his savings, P, are equal to $3000.

Then we need to solve the equation:

[tex]P = 150*(1 + \frac{0.025}{12} )^{12*t} = 3000[/tex]

[tex](1 + \frac{0.025}{12} )^{12*t} = 3000/150 = 20\\[/tex]

Now, remember that:

Ln(a^x) = x*ln(a)

So if we apply the natural logarithm to bot sides, we get:

[tex]Ln((1 + \frac{0.025}{12} )^{12*t}) = Ln( 20)\\\\(12*t)*Ln(1 + \frac{0.025}{12}) = Ln(20)\\\\t = \frac{Ln(20)}{12*Ln(1 + \frac{0.025}{12})} = 119.95[/tex]

So after 119.95 years you will have the $3000.

Answer:

What was the average temperature change per hour -3 degrees per hour​

Step-by-step explanation:

Take the temperature drop and divide by the time

-13 1/5 ÷ 4 2/5

Change to improper fractions

-(13 *5+1)/5 ÷ (4*5+2)/5

-66/5 ÷22/5

Copy dot flip

-66/5 * 5/22

Rewrite

-66/22 * 5/5

-3 degrees per hour

Since we are looking for a drop

3 degrees per hour

Answer: I divided 16.75 by 5

Step-by-step explanation:

For every 1 gallon hes using 3.35

So 22 x 3.35 is 73.70 so hell need 70 cent more

Answer:

y = 4x-3

Step-by-step explanation:

First we need to determine the slope

Using two points on the line (0,-3)  (1,1)

Using the slope formula

m = (y2-y1) /(x2-x1)

   = (1- -3)/(1-0)

 (1+3)/  (1-0)

  4

We know the y intercept, -3

y = mx+b where m is the slope and b is the y intercept

y = 4x-3

Answer:

Solutions given:

Velocity ratio V.R =5

effort =500N

efficiency =80%

magnitude of load=?

mechanical advantage [M.A ]

we have

efficiency =M.A/V.R*100%

80=M.A./5*100

80/100*5=M.A

M.A.=4

again

we have

M.A =load/effort

4=load/500

load=500*4

load=2000N

Answer:

look at the png below

Step-by-step explanation:

Answer:

Step-by-step explanation:

If AD is an altitude, then by definition it drops from the vertex angle (the top angle) and meets the base at a right angle, which measures 90 degrees. That means that 17x + 73 is a right angle:

17x + 73 = 90 and

17x = 17 so

x = 1

Answer:

x=5

Step-by-step explanation:

The sides have to be equal length

3x+4 = 5x-6

Subtract 3x from each side

3x+4-3x = 5x-6-3x

4 = 2x-6

Add 6 to each side

4+6 = 2x-6+6

10 = 2x

Divide by 2

10/2 =2x/2

5 =x

Two parallel sides is 3x + 4 = 5x - 6

[tex]\bf \large \longrightarrow \: \: 3x \: + \: 4 \: = \: 5 x \: - \: 6[/tex]

[tex]\bf \large \longrightarrow \: \:6 \: + \: 4 \: = \: 5x \: - \: 3x[/tex]

[tex]\bf \large \longrightarrow \: \:10 \: = \: 2x[/tex]

[tex]\bf \large \longrightarrow \: \: \frac{10}{2} \: = \: x \\ [/tex]

[tex]\bf \large \longrightarrow \: \: \cancel\frac{10}{2} \: \large \: ^{5} \: = \: x \\ [/tex]

[tex]\bf \large \longrightarrow \: \:x \: = \: 5[/tex]

Option ( B ) is the correct answer.

Answer:

4

Step-by-step explanation:

8-2x=5(x-4)

8-2x=5x-20

28=7x

x=4

Answer: x=4

given equation: 8 - 2x= 5(x-4)

STEP 1: distribute the 5 with ONLY the parenthesis which is (x-4)

so it will be 5x-20 (-20 because 5 x -4= -20)

Now the equation is 8 - 2x= 5x - 20

STEP 2: ADD 20 on both SIDES

8+20= 28

New equation: 28 - 2x= 5x

STEP 3: ADD 2x on both sides 2x+5x= 7x

STEP 4: Now divide 28 by 7

28/7= 4

Therefor x= 4