Find the area of the shape.
5 ft
2 ft
3 ft
10 ft
The area of the composite shape is
square feet

Answer: 25

Step-by-step explanation: The number that is added to both sides is the number that is needed to create a perfect square trinomial.

The question is, what is that number?

Well, it comes from a formula. The number that is added to both sides always comes from half the coefficient of the middle term squared.

So half of -10 squared or -5 squared which is 25.

So 25 is added to both sides.

Answer:

Step-by-step explanation:

Given angles are central angles and the measure of central angles are equal to the measure of the ark they see so the measure of arc BD is equal to angle <A and A is equal to 360 - 150 - 97 (since the sum of these angles equal to 360)

ark BD = 113 and the measure of arc DCB

150 + 97 = 113

Answer:-2

Step-by-step explanation:

Answer:

Equation = y=3x+12

Slope is 3

Step-by-step explanation:

Answer:

a=5 days, 3 hours

b= 3 people

Answer:

The cost of the car is $ RS 308,000.

Step-by-step explanation:

Given that the value of a car is deprecting at the rate of 12%, to find the correct value of car when cost of car was $ RS350,000 last year, the following mathematical calculation must be performed:

100 - 12 = 88

88/100 = 0.88

350,000 x 0.88 = X

308,000 = X

Therefore, the cost of the car is $ RS 308,000.

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

Explanation:

g(x) is the inverse of f(x), which tells us that g undoes everything f(x) does.

If we input x = -6 then f(x) outputs 1

g(x) then reverses this to say that g(1) = -6. The inputs and outputs swap roles.

Moving to row 2, we see that f(-3) = 2 which reverses to g(2) = -3

We'll replace the g(2) with -3 to go from

f( g(2) )

to

f( -3 )

-3 isn't the answer, but I wanted to put it in bold to show how the replacement is happening.

From the table, we see that f(-3) = 2 which is the final answer

In other words, f(g(2)) = 2

------------------------------

Side note:

We can say that f(g(x)) = x for any number x in the domain of g(x).

As another example, g(3) = 5 and f(g(3)) = f(5) = 3.

The same works the other way around meaning that g(f(x)) = x.

4.208 + 2.482= 6.69 so rounding that would be 7                                      

4.208 + 2.482 = 6.69

When we round it to the nearest, it becomes 7.

Hope it helps you..

Answer:

because as distance goes up so does distance

Answer:

as distance goes up so does the distance

Step-by-step explanation:

I hope this is help full to you

Answer:

tan(θ) = 12/5

Step-by-step explanation:

According to Pythagoras,

sin(θ) = Opposite / Hypotenuse

tan(θ) = Opposite / Adjacent

(Hypotenuse)^2 = (Opposite)^2 + (Adjacent)^2

or, (Adjacent)^2 = (Hypotenuse)^2 - (Opposite)^2

or, (Adjacent)^2 = 13^2 - 12^2

or, (Adjacent)^2 = 169 - 144

or, (Adjacent)^2 = 25

or, Adjacent = 5

So, tan(θ) = 12/5

Hope this will help. Please mark me brainliest.

Answer:

5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

[tex]\frac{(x+2)(x+3)^2(x-3)}{(x-4)^2(x+4)}[/tex]

Step-by-step explanation:

i'm going to assume what you have looks like

[tex]\frac{x^2-9}{\frac{x^2-16}{\frac{x^2+5x+6}{x-4}}}[/tex]

Let's start by factoring everything

x²-9= (x+3)(x-3)

x²-16= (x+4)(x-4)

x²+5x+6=(x+3)(x+2)

x-4= x-4

which means what we have looks like

[tex]\frac{(x+3)(x-3)}{\frac{(x+4)(x-4)}{\frac{(x+3)(x+2)}{x-4}}}=\frac{(x+3)(x-3)}{(x+4)(x-4)}\div\frac{x-4}{(x+3)(x+2)}=\frac{(x+3)(x-3)}{(x+4)(x-4)}*\frac{(x+3)(x+2)}{x-4}=\frac{(x+3)^2(x-3)(x+2)}{(x+4)(x-4)^2}[/tex]

And I think that's as simplified as it can get

Answer:

I don't see the triangular prism.

Step-by-step explanation:

here is the problem if you want to help them

Answer:

4.4

Step-by-step explanation:

x / 4 = 11 / 10

x = ( 4 x 11 ) / 10

= 44 / 10

x = 4.4

Answer:

5

Step-by-step explanation:

To measure scale factors, you have to measure how much units apart each triangle is, and apply the same length to x on figure A.

Here is the equation I used:

10-4=6

11-6=5

Both triangles are 6 units in difference.

Answer:

S.S.S

Step-by-step explanation:

When three sides of a triangle are respectively equal to three corresponding sides of another triangle, they are said to be congruent .

hope it is helpful to you

Answer:

(1,0) (0,-3)

Step-by-step explanation:

x then y a baby crawls before it walks.

Answer:

25 red marbles

Given:

θ is an angle in standard position.

Its terminal side passes through the point (6,1).

To find:

The exact value of secθ in simplest radical form.

Solution:

If θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of secθ is:

[tex]\sec\theta =\dfrac{Hypotenuse}{Base}[/tex]

[tex]\sec\theta =\dfrac{\sqrt{x^2+y^2}}{x}[/tex]

It is given that θ is an angle in standard position and its terminal side passes through the point (6,1), then the exact value of secθ is:

[tex]\sec\theta =\dfrac{\sqrt{6^2+1^2}}{6}[/tex]

[tex]\sec\theta =\dfrac{\sqrt{36+1}}{6}[/tex]

[tex]\sec\theta =\dfrac{\sqrt{37}}{6}[/tex]

Therefore, the exact value of secθ is [tex]\dfrac{\sqrt{37}}{6}[/tex].

Answer:

1. Grassland

2. grass

3. Temperate grassland

4. prairies

5. steppe

6. tropical grassland

7. savanna

8. intermountain grassland

9. mixed prairie

10. tallgrass prairie

Step-by-step explanation:

Answer:

243

Step-by-step explanation:

formula is

Un = ar^n-1

U7 = ar^7-1

U7 =ar^6

U7 =1/3 ×3^6

where a=1/3 and r= 3

U=243

Answer: 105

Step-by-step explanation:

Given

The ratio of men to women working for a company is 4:7

There are total of 165 employees

Suppose, there is  4x men and 7x women such that the ratio remains constant

[tex]\therefore 4x+7x=165\\\Rightarrow 11x=165\\\Rightarrow x=15[/tex]

[tex]\text{Men= }4\times 15=60\\\text{Women= }7\times 15=105[/tex]

Answer:

A (-1)

Step-by-step explanation:

If you look on number line -1 is more left (smaller).

Answer:

-1

Step-by-step explanation:

-1 is the smallest because 0 and 3 is bigger than -1 because it is a negative number and -1/2 is -0.5 which is bigger than -1. So answer is -1

Answer:

x = 146

Step-by-step explanation:

The exterior angle of the triangle is equal to the sum of the opposite interior angles

x = 48+98

x = 146

Answer:

The sum of all the angles in a triangle is 180 degrees,

We know the measures of two angles, 48 and 98

if we add those and then subtract their sum from 180, we can find the third angle which will help us find the exterior angle x

48+98=146

180-146 = 34

now, we have to do 180-34 to find the measure of x.

why? any straight line is 180 degrees.

180-34 = 146

x = 146

hope this is correct and it helps you.

Answer:

A. csc 0 = -5/4 or B. cos 0 = 3/5

Answer:

B or A

Step-by-step explanation:

sec(theta) = 1/cos(theta)

cos(theta) = adjacent side / hypotenuse.

The csc(theta), the sin(theta) and the tan(theta) in quad 4 are all minus

Since the cos(theta) is positive in quad 4, B is going to be the answer.

The value for sin(theta) should be sin(theta) = - 4/5 not 2/5

Tan(theta) = - 4/3

Note: 4 is found by using the Pythagorean Theorem because the trigonometric functions are all defined by the sides of a right triangle.

a^2 + b^2 = c^2

a = the adjacent side = 3

b = the opposite side = b

c = the hypotenuse = 5

3^2 + b^2 = 5^2

9 + b^2 = 25

b^2 = 16

b = 4

Answer:

your answer to this question is C.

Answer:

creo que es 96%

Step-by-step explanation: sume todo los chiles excepto los chiles rojos y luego con la suma de todos los chiles los reste con los chiles rojos.

Answer:

1/6

Explanation:

This is because if you were to take up the entire wall with these same proportions, you would need six colors.

Answer:

It would be a negative linear association if not then nonlinear association.

Step-by-step explanation:

Answer:

65 seats

Step-by-step explanation:

1. Approach

To answer this question, one has to find the rate at which seats are added to each row. Then one must find the number of seats in the first row. Using this information, one can form an equation to find out how many seats are in any given row when given the row number. Finally, one can substitute (20) into the equation to find out how many seats are in the row (20).

2.Find the rate at which seats are added

One is given the row number and the corresponding number of seats in the row. This information is presented in the formate ([tex]x,y[/tex]), as the following is,

(3, 31), (6, 37)

Where (x) is the row number and (y) is the number of seats.

To find the rate at which seats are added, one must solve for the rate of change. This can be done using the following formula,

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute in the given information and solve for the rate of change,

[tex]\frac{37-31}{6-3}[/tex]

Simplify,

[tex]\frac{37-31}{6-3}\\=\frac{6}{3}\\=2[/tex]

Seats are added at a rate of (2) seats per row.

3. Find the equation

The easiest way to write the equation of this situation is to use the equation of a line is in the slope-intercept form. This form is as follows,

[tex]y=mx+b[/tex]

Where (m) is the slope of the line and (b) is the (y-intercept). As one found in (step (2)) the slope of the line is (2). Substitute this into the equation,

[tex]y=2x+b[/tex]

One is given that (3, 31) is a part of this scenario, substitute this point into the equation and solve for the unknown,

[tex](31)=2(3)+b[/tex]

Simplify,

[tex]31 = 6+b[/tex]

Inverse operations,

[tex]31=6+b\\25=b[/tex]

Substitute this into the equation to complete the equation,

[tex]y=2x+25[/tex]

4.Find how many seats are in the row (20)

Now that one has the equation to find the number of seats where (x) represents the row number and (y) represents the number of seats. Substitute in the row number (20) to solve to find the number of seats in the row.

[tex]y=2x+25[/tex]

[tex]y=2(20)+25[/tex]

Simplify,

[tex]y=2(20)+25\\y=40+25\\y=65[/tex]