Find the area of the figure.
14 m
5 m
16 m

Answer:

C

Step-by-step explanation:

equations for each:

A)  y - x = 25

B)  y = 25x

C)  x = 25y

D)  y = 25 + x

By applying Pythagoras theorem,we get

(hypotenuse)^2=(base)^2+(perpendicular)^2

=>(h)^2=(7)^2+(4)^2

=>(h)^2=49+16

=>(h)^2=65

=>h=√65

Therefore, option B is correct,i.e.,√65

Answer:

Square root of 65 units

Step-by-step explanation:

This is the correct answer

Given:

The vertices of the rectangle ABCD are A(0,1), B(2,4), C(6,0), D(4,-3).

To find:

The area of the rectangle.

Solution:

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, we get

[tex]AB=\sqrt{(2-0)^2+(4-1)^2}[/tex]

[tex]AB=\sqrt{(2)^2+(3)^2}[/tex]

[tex]AB=\sqrt{4+9}[/tex]

[tex]AB=\sqrt{13}[/tex]

Similarly,

[tex]BC=\sqrt{(6-2)^2+(0-4)^2}[/tex]

[tex]BC=\sqrt{(4)^2+(-4)^2}[/tex]

[tex]BC=\sqrt{16+16}[/tex]

[tex]BC=\sqrt{32}[/tex]

[tex]BC=4\sqrt{2}[/tex]

Now, the length of the rectangle is [tex]AB=\sqrt{13}[/tex] and the width of the rectangle is [tex]BC=4\sqrt{2}[/tex]. So, the area of the rectangle is:

[tex]A=length \times width[/tex]

[tex]A=\sqrt{13}\times 4\sqrt{2}[/tex]

[tex]A=4\sqrt{26}[/tex]

[tex]A\approx 20[/tex]

Therefore, the area of the rectangle is 20 square units.

Answer:

x = 35

Step-by-step explanation:

The secant- secant angle x is half the difference of the intercepted arcs

The 4 arcs in the circle sum to 360° then

PQ = 360 - (104 + 104 + 111) = 360 - 319 = 41 , then

x = [tex]\frac{1}{2}[/tex] (RS - PQ) = [tex]\frac{1}{2}[/tex] (111 - 41) = 0.5 × 70 = 35

Answer:

$41,875

Extra

a. $17,250 [($780,000 – $90,000) ÷ 40]

b. $366,000 [$780,000 – ($17,250 × 24 yrs.)]

c. $29,600 [($366,000 – $70,000) ÷ 10 yrs.]

Step-by-step explanation:

Step 1: Determine the cost of the asset

[tex]1,800,000[/tex]

Step 2: Subtract the estimated salvage value of the asset from the cost of the asset to get the total depreciable amount

[tex]1,800,000 - 125,000[/tex]

Step 3: Determine the useful life of the asset

[tex]40[/tex]

Step 4: Divide the sum of step (2) by the number arrived at in step (3) to get the annual depreciation amount

[tex]$41,875[/tex]

Answer:

22

Step-by-step explanation:

First write an expression to represent the situation.

$1,300,000 ≤ $475,000 + $37,500a

This expression works because the least amount of money that can make to remain profitable is 1,300,000. They already have 475,000 of that and every a (number of ads sold) is $37,500

Using this equation, solve for a.

1300000 ≤ 475000 + 37500a

First, subtract 475000 from both sides.

825000 ≤ 37500a

Then divide both sides of the equation by 37500 to isolate a.

22 ≤ a

22 is less than or equal to a. So they must sell at least 22 ads to remain profitable.

Answer:

24

Step-by-step explanation:

6 / 1 / 4 =

6 x 4 =

24

Answer:

6 divided by 1/4 is 24

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

The parallel lines divide the sides of the triangle in proportion, that is

[tex]\frac{20-8}{x}[/tex] = [tex]\frac{8}{6}[/tex]

[tex]\frac{12}{x}[/tex] = [tex]\frac{8}{6}[/tex] ( cross- multiply )

8x = 72 ( divide both sides by 8 )

x = 9

Answer:

I just need points sorry love But the answer is A.

Step-by-step explanation:

Answer:

The number is -3.

Step-by-step explanation:

Set up an equation:

Variable n = number

12 + 7n = n - 6

Assuming the question is solve for n, isolate the variable:

Subtract n from both sides:

12 + 6n = -6

Subtract 12 from both sides:

6n = -18

Divide by 6 on both sides:

n = -3

Check your work:

12 + 7(-3) = -3 - 6

12 - 21 = -3 - 6

-9 = -9

Correct

12/13

sin = opposite / hypotenuse

Answer:

Team A: 25 players

Team B: 24 players

Step-by-step explanation:

Team A:

to find the total # of players of the team we need to set up a fraction. 5 out out of an unknown number of players is equal to 1/5, so we set it up as:

[tex]\frac{5}{x} = \frac{1}{5}[/tex]

then we cross multiply to get

x*1 = 5*5

x=25 players

Team B

similarly to Team A

[tex]\frac{3}{x} = \frac{1}{8}[/tex]

cross multiply to get

x*1=3*8

x= 24 players

Answer:

Y = 60 because a equallateral triangle is always 60˚ I don't know x though

Answer:

Dimitri's will have 3547.8 more than Briana

Step-by-step explanation:

but If your asking how much more she will have she won't but if you have to put something out -3547.8 hope this helps

Step-by-step explanation:

djifvodp09govovkvcicodsodoss

Answer:

is b

Step-by-step explanation:

Answer:

A translation because it can map one angle onto another since dilation preserve angle measures of triangles.

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

Answer: 50%

Step-by-step explanation: there are 3 even numbers and 6 numbers total so 3/6 is 50%

Answer:

Step-by-step explanation:

Area of the figure is a sum of area of rectangle 4 cm × 7 cm and trapezoid with bases of 19 cm i 7 cm and altitude of 8 cm.

Therefore:

[tex]A=7\cdot4+\dfrac{7+19}2\cdot8=28+26\cdot4=132[/tex]

Answer:

-1 and 6 are x intercepts, -4 is y-intercept, -8 is vertex and -2 is axis of symmetry

Answer:

anddddd i just realized i answered the question wrong, the guy above me is correct. good luck.

Answer:

B. corresponding angles are congruent

Answer:

52

Step-by-step explanation:

The general arithmetic sequence formula for this case is

a(n) = -4 + d(n - 1).

Thus, a(15) = -4 + 4(14) = 52

Answer:

The 15th term = 52

Step-by-step explanation:

a₁ = -4

d = 4

n = 15

a₁₅ = The value of the 15th term, (this is what we have to find out)

We know that formula of an arithmetic series is:

aₙ = a₁ + d(n - 1)

Now we can substitute the given values in:

a₁₅ = -4 + 4(15 - 1)

a₁₅ = -4 + 4(14)

a₁₅ = -4 + 56

a₁₅ = 52

So the 15th term = 52

Hope this helps!

Answer:

170

Step-by-step explanation:

8x2 is 16 plus 1 is 17 times 10 is 170. PEMDAS

Answer:

Answer is 628 cm^3

Step-by-step explanation:

using base area lets find radius

base area=pie*(r)^2

78.50=3.14*r^2

78.50/3.14=r^2

25=r^2

5=r

now using lateral area lets find height

lateral area=2*pie*r*h

251.20=2*3.14*5*h

251.20=31.4*h

251.20/31.4=h

8=h

volume of cylinder=pie*(r)^2*h

=3.14*(5)^2*8

3.14*25*8

=628 cm^3

Answer:

Adrien Agreste!

Step-by-step explanation:

But she does have hidden feelings for Cat Noir. She even said that maybe she'd see him differently if Adrien didn't exist.

Answer:

Step-by-step explanation: