A survey crew has laid out similar triangles to find the distance across a
small lake.
creen
1-02....
240 ft
30 ft
creen SI
1-02...5.1
40 ft
30 ft
240 ft
creen Sho
-02...55.1
What is x, the distance across the lake?

Answer:

35 OR 35.1666666667

Step-by-step explanation:

Answer:

the answer rounded to the nearest hundredth is 35.17

Step-by-step explanation:

Answer:

The company will pay $43 project fee and $24 an hour.

Step-by-step explanation:

25 + 10h +18 + 14h

= 25+ 18 + 10h + 14h

=43 + 24h

Answer:

i think its a but im not sure

Answer:

I believe communist just because or there influences in world war I and world war II they were on the communist side and part of the USSR at the time

Answer:

It is actually -1.

Step-by-step explanation:

((-3) / 5) + ((-2) / 5) her problem should be set up like this. She just plain out did -3/5+-2/5 and that is not what your supposed to do.

pls mark me brainliest

Answer:

-5/5= -1

Step-by-step explanation:

-3/5 + -2/5 = -5/5

when u have to add 2 minus values it shuld not be subtracted by each other but added instead and put the (-) sign infront of the final value as given above.

Answer:

17.9140127389 FT²

Step-by-step explanation:

Circumference is found using the formula 2πr.

15=2πr

r=15/(2*3.14)

r=2.38853503185

Area is found using the formula πr²

A= πr²

=3.14( 2.38853503185²)

=17.9140127389

Answer:

278

Step-by-step explanation:

139x2=278

Answer:

4,400

Step-by-step explanation:

Answer:

ecb and acb

Step-by-step explanation:

Answer:

0.19 = 19/100

19/100 = 19%

Step-by-step explanation:

take 0.19 x 100 = 19

that's where u get 19% and 19 over 100 from.

Answer:

0.19 = 19/100 = 19%

Step-by-step explanation:

1. Start with 0.19 (the given)

2. Read it out loud "19 hundredths"

3. Write down 19 out of 100 because that's what you said in the last step (if it were "0.3" you would write "3/10" because you read it as "three tenths"

4. Check if you can simplify. In this case you cannont

5. If the fraction is out of 100 (which in this case it is) simply write the numerator as the percent "19" is the numerator and it IS out of 100. You would write 19%

Answer:

[tex] x = 6\sqrt{2}[/tex]

Step-by-step explanation:

Reference angle = 45°

Adjacent side = 6

Hypotenuse = x

Applying trigonometric ratio, we have:

[tex] cos(45) = \frac{6}{x} [/tex]

Multiply both sides by x

[tex] x*cos(45) = 6 [/tex]

Divide both sides by cos(45)

[tex] x = \frac{6}{cos(45)} [/tex]

[tex] x = \frac{6}{\frac{\sqrt{2}}{2} [/tex] (cos 45 = √2/2)

[tex] x = \frac{6}*{\frac{2}{\sqrt{2}} [/tex]

[tex] x = \frac{12}{\sqrt{2}} [/tex]

Rationalize

[tex] x = \frac{12*\sqrt{2}}{\sqrt{2}*\sqrt{2} [/tex]

[tex] x = \frac{12*\sqrt{2}}{2} [/tex]

[tex] x = \frac{6*\sqrt{2}}{1} [/tex]

[tex] x = 6\sqrt{2}[/tex]

Answer:

Leena walked 5/7 miles with her friend

Step-by-step explanation:

7/7 = 1

7 +4 =11

Answer:

5/7

Step-by-step explanation:

Answer:

18.33

Step-by-step explanation:

600 -50 ÷ 30

550 ÷30 = 18.333

Answer:

x=1.7320508075688772 or x=−1.7320508075688772

Step-by-step explanation:

(x2−3)(x2+12)=0

x4+9x2−36=0

(x2−3)(x2+12)=0

x2−3=0 or x2+12=0

x=1.7320508075688772 or x=−1.7320508075688772

Answer:

FV= $2,041.29

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $1,500

Number of periods (n)= 7 years

Interest rate (i)= 4.5% = 0.045

To calculate the future value, we need to use the following formula:

FV= PV*(1+i)^n

FV= 1,500*(1.045^7)

FV= $2,041.29

Answer:

a.)Point C will be either (4.82, 7.41) or ( -4.82, 2.59)

b.) -x² + 2x + 6y - y² - 5= 0  , 8y - 4x = 11

Step-by-step explanation:

As given A(2,1,3) and B(0,5,0)

a.)

We have to find C  in the xy-plane

⇒ C is of the form (x, y, 0)    ( Because in xy plane , z coordinate is zero)

Now, given AB and BC are the legs of the right triangle .

AB = (0, 5, 0) - (2, 1, 3) = ( -2, 4, -3)

BC = (x, y, 0) - (0, 5, 0) = ( x, y-5, 0)

As AB and BC are legs of triangle

⇒AB is perpendicular to BC

⇒(AB).(BC) = 0

⇒( -2, 4, -3).( x, y-5, 0) = 0

⇒ -2x + 4(y-5) -0 = 0

⇒ -2x + 4y- 20 = 0

⇒ -x + 2y- 10 = 0

⇒ 2y = 10 + x

⇒ y = 5 + [tex]\frac{x}{2}[/tex]         ......(1)

As ABC is making an isosceles right triangle

It means two sides of the triangle are equal

Now,

|AB| = √(-2)² + (4)² + (-3)² = √4+16+9 = √29

|BC| = √(x)² + (y-5)² + 0² = √(x)² + (y-5)²

Now,

AS AB = BC

⇒|AB| = |BC|

⇒|AB|² = |BC|²

⇒29 = (x)² + (y-5)²

⇒29 = (x)² + (5 + [tex]\frac{x}{2}[/tex] -5)²

⇒29 = (x)² + ( [tex]\frac{x}{2}[/tex] )²

⇒29 = x²( 1 + [tex]\frac{1}{4}[/tex] ) = x²(  [tex]\frac{5}{4}[/tex] )

⇒ x² = [tex]\frac{116}{5}[/tex] = 23.2

⇒ x = 4.82 , -4.82

⇒y = 7.41 , 2.59

so, Point C will be either (4.82, 7.41) or ( -4.82, 2.59)

b.)

As given AB is the hypotenuse of the right triangle

S, AC and CB will perpendicular to each other

Now,

AC = (x, y, 0) - ( 2, 1, 3) = ( x-2, y-1, -3)

CB = (0, 5, 0) - (x, y, 0) = (-x, 5-y, 0)

As, AC and CB is perpendicular

⇒(AC).(CB) = 0

⇒( x-2, y-1, -3).(-x, 5-y, 0) = 0

⇒(x-2)(-x) + (y-1)(5-y) - 0 = 0

⇒-x² + 2x + 5y - y² - 5 + y = 0

⇒-x² + 2x + 6y - y² - 5= 0    ..........(2)

As ABC is making an isosceles right triangle

It means two sides of the triangle are equal

Now,

|AC| = √(x-2)² + (y-1)² + (0-3)² = √(x-2)² + (y-1)² + 9

|BC| = √(x)² + (y-5)² + 0² = √(x)² + (y-5)²

Now,

AS AC = BC

⇒|AC| = |BC|

⇒|AC|² = |BC|²

⇒(x-2)² + (y-1)² + 9  = (x)² + (y-5)²

⇒x² + 4 - 4x + y² + 1 - 2y + 9 = x² + y² + 25 - 10y

⇒ 4 - 4x + 1 - 2y + 9 = 25 - 10y

⇒14 - 4x - 2y  = 25 - 10y

⇒10y - 2y - 4x = 25 - 14

⇒8y - 4x = 11            ........(3)

Now, we have 2 equations

-x² + 2x + 6y - y² - 5= 0  , 8y - 4x = 11

Solve these equations to find x, y

Answer:

x = (3, 4)

(I'm assuming the missing sign in the picture is a negative (-))

Answer:

x={3, 4}

Step-by-step explanation:

that may answer po

Answer:

Step-by-step explanation:

x=2

a=1.25

m=3.75

tell me if u need any steps

Answer:

A.) [tex]2x^2 + 13x - 7[/tex]

B.) [tex]3x^2 - 11x - 20[/tex]

C.) [tex]y^2 + 13y + 36[/tex]

D.) [tex]b^2 - 15b + 36[/tex]

Step-by-step explanation:

For all of these you want to multiply the first thingy (Ex. x) in the first parenthesis by the first in the second parenthesis (Ex. 2x) plus the first one in the first (Ex. x) times the second one in the second (Ex. -1) plus the second one in the first one (Ex. 7) times the first one in the second parenthesis (Ex. 2x)  plus the second one in the first parenthesis (Ex. 7) times the second one in the second (Ex. -1)

A.) (x + 7)(2x - 1) = (2x * x) + (-1 * x) + (7 * 2x) + (7 * -1) = 2x^2 -x + 14x - 7 = 2x^2 + 13x - 7

B.) (3x + 4)(x - 5) = (3x * x) + (3x * -5) + (4 * x) + (4 * -5) = 3x^2 - 15x + 4x - 20 = 3x^2 - 11x - 20

C.) (y + 9) (y + 4) = (y * y) + (4 * y) + (9 * y) + (9 * 4) = y^2 + 4y + 9y + 36 = y^2 + 13y + 36

D.) (b - 12)(b - 3) = (b * b) + (b * -3) + (-12 * b) + (-12 * -3) = b^2 - 3b - 12b + 36 = b^2 - 15b + 36

Answer:

[tex]P(A \cup B) =0.45[/tex]

Step-by-step explanation:

From the question we are told that

Consumers seen the soap [tex]P_A=40\% =0.40[/tex]

Consumers used the soap [tex]P_B=20\% =0.2[/tex]

Consumers seen/tried the soap [tex]P_x=15\% =0.15[/tex]

Generally the probability that consumers have seen and tried the soap is

[tex]P(A \cup B=P(A)+P(B)-P(A \cap B[/tex]

[tex]P(A \cup B=0.4+0.2-0.15[/tex]

[tex]P(A \cup B) =0.45[/tex]