Josh was asked to solve the equation 15x-19=4x+11 His first step resulted in the equation 15x=4x=30 Describe what Josh did in his first step.

Answer:

The answer is 36. Say 42 + 42 is 84. Since one of the number is 6 more than the other, add 6 the first 42 and subtract 6 from the other number which will be 48 + 36 = 84. So the smaller of the two is 36.

Step-by-step explanation:

Answer:

Sine of C=?

Among the given options which is the correct one.

Step-by-step explanation:

Consider a right-angle triangle ABC.

[tex]angle B=90^{0}[/tex]

In a right angle triangle, one angle [tex]90^{o}[/tex].

The sum of all the angles is [tex]180^{o}[/tex].

[tex]angle A +angle B+angleC=180^{0}angleA+90^{0} +angle C=180^{0}\\angleA+angleC=180^{0} -90^{0} \\angleA+angleC=90^{0} \\angleA=90^{0} -angle C[/tex]

Consider the trigonometric ratios and use the traingle ABC.

[tex]SinC=\frac{AB}{AC}[/tex]

[tex]CosA=\frac{AB}{AC}[/tex]

[tex]angleA=angle(90-C)\\Hence,\\SinC=Cos(90-C)[/tex]

Answer:

OptionF).[tex]Sine of C=Cos(90^{0} -C)[/tex]

Answer:

Two Complementary

Step-by-step explanation:

Answer:

T he pattern shows that the number of hours of daylight per day is higher in the summer and lower in the winter. This pattern is caused by the tilt of Earth's axis. At some points in Earth's orbit around the Sun, the tilt causes one hemisphere to lean toward the Sun while the other one is tilted away.

Step-by-step explanation:

Answer:

Option "D" is the correct answer to the following question.

Step-by-step explanation:

Given:

Length of painting = 25 inch

Height of painting = 16 inch

Width of frame = w inch

Find:

Area of Picture with frame

Computation:

New length of painting = 25 + w + w

New length of painting = 25 + 2w inch

New height of painting = 16 + w + w

New height of painting = 16 + 2w

Area = l x b

So,

Area of Picture with frame = [25 + 2w][16 + 2w]

Area of Picture with frame = 400 + 50w + 32w + 4w²

Area of Picture with frame = 4w² + 82w + 400

Answer:

y + 16 = -1(x + 3)²

Step-by-step explanation:

Looking at the graph, parabola vertex opens upwards with x intercepts as -5 and -1.

Thus, the line of symmetry will be;

x = (-5 + (-1))/2 = -3

Looking at the graph we can see that the vertex when traced to the x - coordinate will be 3 which is same with what we got.

Now, the general form of the equation will be;

y - h = a(x - k)²

where (k,h) is the vertex coordinate

Thus, k = -3

So;

y - h = a(x - (-3))²

>> y - h = a(x² + 6x + 9) =

>> y = ax² + 6ax + 9a + h

When, x = 0

y = 9a + h

From the graph, we can see that the y-intercept is y = -25

Thus;

9a + h = -25

From the graph, h which is the y-coordinate of the vertex = -16

Thus;

9a - 16 = - 25

9a = -25 + 16

9a = -9

a = -9/9

a = -1

Thus, the equation is;

y - (-16) = -1(x - (-3))²

>> y + 16 = -1(x + 3)²

Answer:

Step-by-step explanation:

Hope this helps u!!

Answer:

x = 5

Step-by-step explanation:

within this triangle are two congruent right triangles with height of 4 and base of 3 (half of 6)

use the Pythagorean Theorem to find 'x':

3² + 4² = x²

9 + 16 = x²

x² = 25

x = √25

x = 5

Answer:

50

Step-by-step explanation:

90-30=60

x + 10 = 60

-10

x = 60-10

x = 50

Answer

132 degrees

Step-by-step explanation:

Strategy: Find angle DEB and using that fact that DEB + DEF is 180 degrees to find angle DEF

The sum of the four angles of any quadrilateral is 360 degrees.

Since three angles are given, we can use that to find the fourth.

360-(147+93+72)=size of angle DEB. Solving, you get angle DEB is 48.

Also, knowing that segment BF is a straight line, it means that angle DEB + angle DEF is equal to a straight angle (180 degrees).

DEB+DEF=180

48+DEF=180

DEF=180-48=132 degrees.

Thus, angle DEF is equal to 132 degrees.

Answer:

Step-by-step explanation:

Answer:

Cost Price = $1800

Step-by-step explanation:

Let cost price (CP) be x

Selling price(SP) = 1998

Profit = Selling price - cost price = 1998 - x

  [tex]profit \% = \frac{SP - CP}{CP}[/tex]

       [tex]\frac{11}{100} = \frac{1998-x}{x}[/tex]

     [tex]0.11 = \frac{1998}{x} - 1\\\\1 + 0.11 = \frac{1988}{x}\\\\1.11 = \frac{1998}{x}\\\\x = \frac{1998}{1.11} = 1800[/tex]

Answer:

$34.56

Step-by-step explanation:

First, find the discount price.

20% of 40

20/100 x 40= $8

Deduct the discount from the original price.

40 - 8 = $32

This is the discount price.

Now, find 8% (tax) of the price.

8/100 x 32 = $2.56

Add it to the price.

32 + 2.56 = $34.56

Hope this helps!

Answer:

Hello! answer: 432

Step-by-step explanation:

12 × 8 = 96

12 × 8 = 96

12 × 6 = 72

12 × 6 = 72

8 × 6 = 48

8 × 6 = 48

Then you add them all up so...

96 + 96 + 72 + 72 + 48 + 48 = 432 therefore the surface area is 432 hope that helps!

Answer:

The correct answer is C:

40π units²

Step-by-step explanation:

Just took it on edg

Answer:

can you send a picture of the  drop down menus, i cant see the option choices so i cant help

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

90/6

10x6=60

90-60=30

6x5=30

30-30=0

10+5=15

Answer:

32 $

Step-by-step explanation:

Answer:

B. ∠EYL and ∠AYS

D. ∠SYL and ∠EYA

Step-by-step explanation:

A vertical angles are the pair of angles on the opposite sides of intersecting lines

In the given figure, the pair of intersecting lines are;

Line AYL and line SYE

The vertical angles formed by the lines [tex]\overline{AYL}[/tex] and [tex]\overline {SYE}[/tex] are;

From East to West (left to right direction) angles ∠EYL and ∠AYS

From the direction of 'H' ∠SYL and ∠EYA

Therefore, the correct options are;

B. ∠EYL and ∠AYS and D. ∠SYL and ∠EYA.

Answer:

Answer:

the following is a proper fraction

4/5

Answer:

4/5 is correct answer as numerator is smaller than denominator

Answer:

Er you just multiply by 9.

Step-by-step explanation:

1*9 = 9

3*9=27

1*9=9

27*9=243

The answer:

x: 9

y: 81, 3

x*3

y/3

Answer:

Use a calculator for this like desmos graphing

Step-by-step explanation:

Answer:

B(x, y) = (-2, -2)

Step-by-step explanation:

Given: AB: AC (m₁: m₂) = 1 : 2, A (x₁, y₁) = (-5, 2) and B(x₂, y₂) = (4, -10)

To find: Coordinates of B (x, y)

Using section formula:

Therefore Coordinates of B (x, y) is (-2, -2).

Step-by-step explanation:

Answer:

C.) x = -45/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

-8x = 90

Step 2: Solve for x

Answer:

y = 3x + 1.

Step-by-step explanation:

The slope is 3 and the y-intercept is at y = 1.

Answer:

y = 3x + b

Step-by-step explanation:

Essentially the question is asking us to find the equation of the line in slope intercept form

Slope intercept form: y = mx + b

Where m = slope and y = y intercept

First let's find the slope

Slope = change in y over change in x

Looking at the line as y goes up 3 x goes up 1

hence slope (m) = 3/1 or just 3

Now let's find the y intercept

The y intercept is equal to the y value of the point where the line passes the y axis

The line passes the y axis at ( 0 , 1 ) and the y value of that point is 1

Hence, y intercept (.b ) = 1

Finally we substitute 3 for m and 1.for b in y = mx + b to get the equation of the line

We get y = 3x + 1.

Answer:

Yep

Step-by-step explanation:

You're correct, Well done!

Answer:

Yes that is correct!

Step-by-step explanation:

(38 x 25)/100 = $9.50

38 - 9.50 = $28.50

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Explanation:

y = 5 because the long leg is exactly sqrt(3) times that of the short leg.

The short leg is always opposite the 30 degree angle.

The hypotenuse x is twice that of y, so x = 2y = 2*5 = 10

All of these rules only apply to 30-60-90 triangles. You can use trig ratios as an alternative route.