Evaluate Equation
Please help!!

Answer:

x = 2 sqrt(3)/3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 60 = 1 /x

x sin 60 =1

x = 1 /sin 60

x = 1 / sqrt(3)/2

x = 2 sqrt(3)/3

Answer:A(1,-5)

B(6,-8)

Step-by-step explanation:

Answer:

In terms of x, the smaller integer is (x - 1)/2

Step-by-step explanation:

Two consecutive positive integers can be written as:

n and (n + 1)

Where n is an integer and:

n > 0.

notice that the smaller of the two integers is n.

We know that the sum of these two integers is equal to x, then:

n + (n + 1) = x

we can rewrite this as:

2n + 1 = x

solving this for n (the smaller of the two integers) we get:

2n = x - 1

n = (x - 1)/2

In terms of x, the smaller integer is (x - 1)/2

Answer: ∠TRS and ∠VRW  (Choice B)

========================================================

Explanation:

Ignore ray RU. I would redraw the entire thing without ray RU as part of the picture. See below.

Notice how lines TW and SV intersect to form an X shape.

The angles TRS and VRW shown in red are opposite one another, so we consider them to be vertical angles. Vertical angles are always congruent.

Answer:

B ∠TRS and ∠VRW

Step-by-step explanation:

Answer:

The speed of Sara is 78.4 km/h.

Step- by-step explanation:

Manuel and Sara travel a certain distance, and the times they use are in the ratio 21/15. Manuel's speed is 56km / h. What is Sara's speed?

Let the distance is d.

speed of Manuel = 56 km/h

time taken by Manuel = 21 t

time taken by Sara =  15 t

Let the speed of Sara is v.

Distance = speed x time

For Manuel:

d = 56 x 21 t ..... (1)

For Sara:

d = v x 15 t ..... (2)

From (1) and (2)

56 x 21 t = v x 15 t

v = 78.4 km/h

Answer:

sdfghjkl

Step-by-step explanation:

Step-by-step explanation:

where the model step by step explanation

Answer:

A. 15s < 200

Step-by-step explanation:

Which inequality represents how many pairs of shorts, s, the coach can buy?

A. 15s < 200

B.15s > 200

C. 15s <(with line under)200

D 15s >(with line under)200

Let

s = cost of eat short

Number of students (Short) = 15

Less than (<)

The inequality:

Number of short * cost of each short < $200

15 * s < 200

15s < 200

s < 200/15

s < $13.333333333333

Answer:A. 15s < 200

Step-by-step explanation:A. 15s < 200

Answer:

y = 3/4x +7/2

Step-by-step explanation:

slope of line = difference of 2nd x value - 1st x value/ 2nd y value - 1st y value

x difference /y difference = 3/4 = slope

y = 3/4x

to find y-intercept, add a variable

y = 3/4x + B

then add the first x and y value point numbers into equation

0 = 3/4(4) + B

-3 = B

put back B into equation.

y = 3/4x - 3 which is the linear path the biker is going

now you can use another variable to find the new bike path

y = 3/4x + A

plug in the x value 2 and y value 5 from (2,5)

5 = 3/2 + A

A = 7/2

there-fore the new line which is parallel to the old line is:

y = 3/4x +7/2

Answer:

- 2 / 7

Step-by-step explanation:

Let,

x1 = 7

x2 = 14

y1 = 2

y2 = 0

Formula : -

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

Slope

= ( 0 - 2 ) / ( 14 - 7 )

= - 2 / 7

[tex]slope \\ = \frac{Δy}{Δx} \\ = \frac{(4 - 2)}{(0 - 7)} \\ = \frac{2}{ - 7} \\ \\ so \: the \: slope \: is \: \frac{2}{ - 7}.[/tex]

This is the answer.

Hope it helps!!

Answer:

Step-by-step explanation:

Increasing the side length by 5 is represented as s + 5. To get the area of a square we multiply side times side: [tex](s+5)^2=s^2+10s+25[/tex]

The area of a square is s². If we are increasing this area s² by 895, then to represent this we have s² + 895.

Put that together into an equation:

[tex]s^2+10s+25=s^2+895[/tex] and simplify to

10s = 870 so

s = 87

Let's check that. The area before the addition to the side is 87*87 = 7569; the area after the addition of 5 cm is 92*92 = 8464. The difference is

8464 - 7569 = 895 so we did good!

Answer:

it would be line to zero slope that's all I can do for u pal maybe..

Answer:

A = 16 units²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

The right triangle on the left is a 3- 4- 5 ( Pythagorean triple )

Then b = 4 and h = 4 , so

A = 4 × 4 = 16 units²

Answer:

37

Step-by-step explanation:

Given :

Sample size, n = 128

Mean, μ = 18

Standard deviation, σ = 5.4

Number of people who lost atleast 15 pounds :

The Zscore = (x - μ) / (σ)

Zscore = (15 - 18) / 5.4

Zscore = - 3 / 5.4

Zscore = - 0.5555

P(Z < - 0.555) = 0.28945

Number of people who lost atleast 15 pounds :

0.28945 * 128 = 37.0496

= 37 people

Answer:

B

Step-by-step explanation:

[tex]d \: = \frac{h}{24} [/tex]

[tex]h \: = 24d[/tex]

Answer:

Answer

Step-by-step explanation:

21+3+6

= 30

Ratio of parents = 21

10% of 30 = 30/10

                = 3

21 is __% of 30

= 21/30 * 100

= 0.7 * 100

= 70%

Answer:

Option C(66.0)

Step-by-step explanation:

C = 2πr

C=Circumference

π=3.14(pi)

r=radius

C=2x3.14x10.5

3.14x10.5=32.97

32.97x2=65.94

65.94 rounded to nearest tenth is 65.9, so basically 66.0.

Answer:

1/4/3÷5/9

1/4/3÷9/5

1/4/3/5

Answer:

(x-4y)(x-3y) ÷(x+8y)(x-8y)×(x+8y)÷3(x-3y)

=3(x-4y)÷(x-8y)

Answer:

y = 4

Step-by-step explanation:

[tex]\frac{sin(90)}{4\sqrt{2} } = \frac{sin(45)}{y}[/tex]

Answer:

y = 4

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{4\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

y × [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

y = 4

Answer:

-10 -2d+7=8-10-3d

-2d + 7 =8 -3d

-2d + 7 =3d = 8

-2d + 3d = 8-7

d=8-7

d=1

Answer:

[tex]d = 1[/tex]

Step-by-step explanation:

Step 1:  Combine like terms

[tex]d - 10 - 2d + 7 = 8 + d - 10 - 3d[/tex]

[tex](d - 2d) + (-10 + 7) = (8 - 10) + (d - 3d)[/tex]

[tex](-d) + (-3) = (-2) + (-2d)[/tex]

Step 2:  Add 2d to both sides

[tex]-d + 2d - 3 = -2 - 2d + 2d[/tex]

[tex]d - 3 = -2[/tex]

Step 3:  Add 3 to both sides

[tex]d - 3 + 3 = -2 + 3[/tex]

[tex]d = 1[/tex]

Answer:  [tex]d = 1[/tex]

i think by x2 you meant x²

(-3x² + 2x + 1) + (-8x² + 3x + 2)

-11x² + 5x + 3

Answer:

12

Step-by-step explanation:

The altitude divides the hypotenuse into parts using this proportion

6/n = n / 18                Cross multiply

n^2 = 6 * 18

n^2 = 108

n = sqrt(108)

n = sqrt(4 * 9 * 3)

n = 2*3 *sqrt(3)

n = 6*sqrt(3)

Now use Pythagoras to get m. m is the hypotenuse of the small triangle on the left

m^2 = n^2 + 6^2

m^2 = 6^2 *sqrt(3)^2 + 36

m^2 = 36*3 + 36

m^2 = 108 + 36

m^2 = 144

m = sqrt(144)

m = 12

Answer:

10.61

Step-by-step explanation:

Answer:

Area= Base x height

Area= 7 x 12 inch

Area= [tex]84inch^{2}[/tex]

Brainliest please

Answer:

Step-by-step explanation:

x is the geometric mean because it is a part of both the small triangle on the left (with base 81) and the whole triangle (with base 225). Setting up the geometric means formula:

[tex]\frac{81}{x}=\frac{x}{225}[/tex] and cross multiply to get

[tex]x^2 =18225[/tex] so

x = [tex]\sqrt{18225}[/tex] and

x = 135

Answer:

Step-by-step explanation:

Let the number of apples given to his friends = x

To represent the number of apples Johnny has, subtract the apples given to his friends from 14

Number of apples with Johnny = 14 - x

Answer:

[tex]5 \sqrt{2} [/tex]

If die is rolled two times, find the probably of getting "1'twice.

[tex] {1}\{36} [/tex]

Feel fre e too ask me

Please understand it

#BrainliestBunch