In ΔDEF, the measure of ∠F=90°, ED = 65, DF = 33, and FE = 56. What ratio represents the cosine of ∠D?

Answer:

5( 4w -3)

Step-by-step explanation:

just pulled out a 5

Answer:

[tex]\huge\boxed{\sf 5(4w-3)}[/tex]

Step-by-step explanation:

[tex]\sf 20w-15\\\\Highest\ Common\ Factor= 5\\\\Take \ 5 \ common\\\\5(4w-3)\\\\This \ is \ the \ required\ factorized \ form\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

m(slope)=2/5

Step-by-step explanation:

y2-y1/x2-x1

Answer: Coordinate plane, x, negative 2 to 2 by 1, y, negative 10

Step-by-step explanation: don't know just trying to help

Given:

The volume of the rectangular prism is

[tex]V=4x^3+5x^2-32x-33[/tex]

Two dimensions are (x+1) and (x+3).

To find:

The missing dimension.

Solution:

We know that, volume of a rectangular prism is

[tex]V=length\times breadth\times height[/tex]

It means, volume of a rectangular prism is the product of all dimensions.

We have,

[tex]V=4x^3+5x^2-32x-33[/tex]

Splitting the middle terms, we get

[tex]V=4x^3+4x^2+x^2+x-33x-33[/tex]

[tex]V=4x^2(x+1)+x(x+1)-33(x+1)[/tex]

[tex]V=(x+1)(4x^2+x-33)[/tex]

Splitting the middle term, we get

[tex]V=(x+1)(4x^2+12x-11x-33)[/tex]

[tex]V=(x+1)(4x(x+3)-11(x+3))[/tex]

[tex]V=(x+1)(x+3)(4x-11)[/tex]

So, the three dimensions of the rectangular prism are (x+1), (x+3) and (4x-11).

Therefore, the missing dimension is (4x-11).

Answer:

Answer:

The answer is C

Step-by-step explanation:

n^3+4n = 4n+5

n^3+4n + 4n+5

n^3+8n+5

Answer:

first one

Step-by-step explanation:

first one 10/10

2nd ome 9.6/10

I like the first one better

Answer:

2 one is my favorite

Step-by-step explanation:

1 , 9

2, 10

3, 8

4, 5

5, 1

Answer:

football

Step-by-step explanation:

also known as soccer

Answer:

Where is the question?

Answer:

A. Covering the entire box is the surface area, which is 664 in.

Step-by-step explanation:

I did the test myself. Have a great day/night! Good luck with the rest of your test! <3

Answer:

8b + 40

Step-by-step explanation:

8( b + 5 )

8×b + 8×5

8b+40

Answer:

x- intercept = 2, y- intercept = - [tex]\frac{8}{7}[/tex]

Step-by-step explanation:

To find the x- intercept, let y = 0 in the equation and solve for x

4x - 7(0) = 8 , that is

4x = 8 ( divide both sides by 2 )

x = 2 ← x- intercept

To find the y- intercept , let x = 0 in the equation and solve for y

4(0) - 7y = 8, that is

- 7y = 8 ( divide both sides by - 7 )

y = - [tex]\frac{8}{7}[/tex] ← y- intercept

Answer:

The correct option is;

5.89°

Step-by-step explanation:

The speed with which the plane flies = 350 mph

The direction of flight of the plane = N 40° E

The speed with which the wind blows = 40 mph

The direction in which the wind blows = S 70° E

Therefore, we have;

The resolution of the components of the motion of the plane, given as follows;

[tex]S_{Plane}[/tex] = 350 × sin(40°)·i + 350 × cos(40°)·j

The resolution of the components of the motion of the wind, given as follows;

[tex]S_{Wind}[/tex] = 40 × sin(70°)·i - 40 × cos(70°)·j

The resultant motion of the plane is given as follows;

[tex]R_{Plane}[/tex] = 262.563·i + 254.435·j

The direction of motion of the plane = tan⁻¹(262.563/254.435) ≈ N 45.9° E

Therefore, the plane's drift = Plane's Track - Plane's Heading  = N 45.9° E - N 40° E ≈ 5.9° ≈ 5.89°

Therefore, the correct option is 5.89°.

Answer:

5.89

Step-by-step explanation:

so u don't have to look at that long one lol.

Answer:

x-1=y

Step-by-step explanation:

Is this what you need?

Answer:

The answer is 14

Step-by-step explanation:

The taxi driver charges $4 per mile so you multiply that by 3 miles because that is what your trying to find. So you get 12 and from their you have to add the $2 fee thus leading to an answer of 14.

Answer: 83.52 calories

Step-by-step explanation:

first candy bar=116 calories

second candy bar= has 28% less calories

to find out the answer we will 28/100=0.28

116x0.28=32.48 calories(less)

116-32.48=83.52 calories for the second candy bar

Answer:

14

Step-by-step explanation:

f(x)=x^2+3x-5

f(3)=(3)^2+3(3)-5

f(3)=9+9-5

f(3)=14

Answer

F(3)=13

Step-by-step explanation:

Answer:

$15973.4

Step-by-step explanation:

The formula for depreciation is:

a(1 - r)^t

a = Initial value =$36,000

r = depreciation rate = 15% = 0.15

t = time in years = 5 years

The depreciation value = $36000 × (1 - 0.15)⁵

= 36000(0.85)⁵

= $15973.39125

Approximately = $15973.4

The value of the boat is $15,973 after 5 years.

Given that,

According to the scenario, computation of the given data are as follows,

Value of boat = [tex]A (1 - r )^{t}[/tex]

By putting the value, we get

Value = [tex]36,000(1 - 0.15)^{5}[/tex]

= [tex]36,000(0.85)^{5}[/tex]

= 36,000 [tex]\times[/tex] 0.4437053125

= $15,973.4  or $15,973

Learn more: https://brainly.com/question/4557688

Answer:

Answer:

The answer is 4. 68

Step-by-step explanation:

since equal sides of triangle,it has equal angle at the base of triangle.So, the two angles of triangle at base is 56. The sum of angles in a triangle is 180.Therefore,56+56+x=180

x=180-112

x=68

Answer:

Step-by-step explanation:

111/6 = 37/2

4 1/3 = 13/3

Answer:

Substitute the given value into the function and evaluate.

2 x 3 + 7 x 2 − 4 x − 15

Step-by-Step Process

Answer:

SLOPE IS -3

Step-by-step explanation:

4-7 over 0-(-1)

Answer:

15/4- 4 1/3

15/4-13/3

45/12-52/12

-7/12

Step-by-step explanation:

Answer:

You are not dumb

Step-by-step explanation:

15/4 - 4 1/3 make the 4 1/3 a improper fraction

15/4 - 13/3  find common denominator of 12

45/12-52/12  since 4 goes into 12 3 times, times the top by 3 to get 45. The second one-3 goes into 12 4 times, so times the top by 4 to get 52.

45/12-52/12= 45-52= -7 put the -7 over the 12

-7/12 that is your answer

Answer:

where is the spinner?

Step-by-step explanation:

Answer:

[tex]f(6) = f(-6)[/tex] --- True

[tex]f(6)=2 * f(3)[/tex] --- False

Step-by-step explanation:

Given

[tex]f(x) = \frac{x^2}{3} - 2[/tex]

Solving (a): f(6) = f(-6)

First, we solve for f(6) by substituting 6 for x in [tex]f(x) = \frac{x^2}{3} - 2[/tex]

[tex]f(6) = \frac{6^2}{3} - 2[/tex]

[tex]f(6) = \frac{36}{3} - 2[/tex]

[tex]f(6) = 12 - 2[/tex]

[tex]f(6) = 10[/tex]

Next, we solve for f(-6) by substituting -6 for x in [tex]f(x) = \frac{x^2}{3} - 2[/tex]

[tex]f(-6) = \frac{-6^2}{3} - 2[/tex]

[tex]f(-6) = \frac{36}{3} - 2[/tex]

[tex]f(-6) = 12 - 2[/tex]

[tex]f(-6) = 10[/tex]

We have that:

[tex]f(6) = f(-6) = 10[/tex]

Hence, the statement is true

Solving (b): [tex]f(6)=2 * f(3)[/tex]

We have that:

[tex]f(6) = 10[/tex]

Next, we solve for f(3) by substituting 3 for x in [tex]f(x) = \frac{x^2}{3} - 2[/tex]

[tex]f(3) = \frac{3^2}{3} - 2[/tex]

[tex]f(3) = \frac{9}{3} - 2[/tex]

[tex]f(3) = 3 - 2[/tex]

[tex]f(3) = 1[/tex]

[tex]2 * f(3) = 2 * 1[/tex]

[tex]2 * f(3) = 2[/tex]

So:

[tex]f(6)=2 * f(3)[/tex]

[tex]10 \neq 2[/tex]

Hence, the statement is false

Answer:

I believe it would be the first option

Answer:

B

Step-by-step explanation:

sope intercept form: (y=mx+b)

m = slope

m = 1/3 (slope of parallel lines are the same)

10 = 1/3(6)+b

10 = 2+b

b = 8

write with slope and b

y = 1/3x+8

The answer is B

Answer:

Step-by-step explanation:

811.98*7.5%= 60.898

811.98+60.898= 872.787 round to $872.79

Answer:

$872.88

Step-by-step explanation:

811.98 x 7.5%= 811.98 x 0.075

811.98 x 0.075= 60.90

811.98+60.90= 872.88

9514 1404 393

Answer:

  C, D

Step-by-step explanation:

It can work to see what sequence each defines:

  A) -8, -1, 6, ...

  B) -15, -8, -1, ...

  C) -22, -15, -8, ...

  D) -22, -15, -8, ...  .  .  .  .  matches C

  E) -29, -22, -15, ...

The two that define the same sequence are ...

  C) f(x) = 7x -29

  D) a1 = -22, a(n+1) = an +7