Unit 8 right triangles and trigonometry homework 5

[tex] \sf \: c = 3 \\ \sf \: d = 4 \\ \\ \sf \: 5cd \: = \: ?\\ \\ \sf \:5 cd \hookrightarrow \\ \sf = 5 \times (3) \times (4) \\ \sf = 5 \times 12 \\ = \underline{ \bf \: 60}[/tex]

-> Just substitute the values given for variables c & d in the equation 5cd & you'll get the answer.

Answer:

x = 6

Step-by-step explanation:

Since GH bisects LM at K , then

LK = [tex]\frac{1}{2}[/tex] LM , that is

5x + 2 = [tex]\frac{1}{2}[/tex] × 64 = 32 ( subtract 2 from both sides )

5x = 30 ( divide both sides by 5 )

x = 6

The value of x is 6.

Here,

GH bisects LM at K.

LK = 5x+2 and LM = 64

We have to find the value of x.

What is Bisection in line?

Bisecting a line is cutting a line exactly in half. It may also be referred to as constructing a perpendicular bisector as the line you are drawing will be at a right angle to the original line.

Now,

GH bisects LM at K.

LK + KM = LM

2 LK = LM

2 ( 5x + 2 ) = 64

5x + 2 = 32

5x = 30

x = 6

Hence, The value of x is 6.

Learn more about the Bisection of line visit:

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Answer:

I think it is -24t+20 if you want to simplify

Step-by-step explanation:

Answer:

-24t + 20

Step-by-step explanation:

First, remove the parentheses

Then, multiply 6 by 5

Then expand 3(2t+4) - 30t + 8

Finally simplify 6t + 12 - 30t + 8

-24t + 20

Hope this helps!

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Work Shown:

4x^3 - 4

4(x^3 - 1)

4(x - 1)(x^2 + x + 1)

In the last step, I used the difference of cubes factoring formula which is

a^3 - b^3 = (a - b)(a^2 + ab + b^2)

the answer to this question is the slope is 43

Answer:

Therefore, the slope is 3/4

Step-by-step explanation:

An x -intercept is the value of x when y=0 , so an x-intercept of 4 can be written as a coordinate on the graph as (4,0)

Likewise, an

y -intercept is the value of y when x=0 , so an y -intercept of −3can be written as a coordinate on the graph as (0,-3)

Now we have two points(4,0) (0,-3)

To find the slope given two points, we use the formula

rise÷run , or y2−y1÷x2−x1 .

Plug in the given points into the formula

-3-0/0-4

-3/-4

3/4

Therefore, the slope is 3/4

Hope this helps!

Answer:

here you go! with step by step so you can do it next time

Answer:

-7/8

Step-by-step explanation:

cross multiply first then expand the equations when you cross multiply it will be

(3x+3)(x+4)=(3x+2)(x-1)

3x(x+4)+3(x+4)=3x(x-1)+2(x-1)

3x²+12x+3x+12=3x²-3x+2x-2

3x²+15x+12=3x²-x-2

3x²-3x²+15x+x=-2-12

16x/16=-14/16

x=-14/16

simplified to

-7/8

I hope this helps

Answer: X = 86 gallons

Step-by-step explanation:

X-27=59

X=59+27

Answer:

7 sqrt(2) = c

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

7^2 + 7^2 = x^2

49+49 = c^2

98 = c^2

Taking the square root of each side

sqrt(98) = sqrt(c^2)

sqrt(49*2) = c

7 sqrt(2) = c

Step-by-step explanation:

GIVEN =

d= 49cm

[tex]\pi = \frac{22}{7} [/tex]

To find = Circumference of a circle

SOLUTION =

CIRCUMFERENCE OF THE CIRCLE = πd

[tex] \frac{22}{7} \times 49[/tex]

= 22 × 7

154cm

the circumference of the given circle is 154cm

Answer:

Step-by-step explanation:

5) diameter = d = 49 cm

Circumference = πd

                         [tex]= \frac{22}{7}*49\\\\= 22 *7\\\\= 154 \ cm[/tex]

6) d = 20 mm

Circumference = π* 20

                         = 20π mm

Answer:

∠ L ≈ 52°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cosL = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{LM}{LN}[/tex] = [tex]\frac{8}{13}[/tex] , then

∡ L = [tex]cos^{-1}[/tex] ([tex]\frac{8}{13}[/tex] ) ≈ 52° ( to the nearest degree )

Answer:

sqrt(3) /3

Step-by-step explanation:

1 / sqrt(3)

Multiply the top and bottom by sqrt(3)

1/ sqrt(3) * sqrt(3)/ sqrt(3)

sqrt(3) /  sqrt(3)*sqrt(3)

sqrt(3) /3

Answer:

[tex] = { \sf{ \frac{1}{ \sqrt{3} } }} \\ \\ { \sf{ = \frac{1}{ \sqrt{3} } . \frac{ \sqrt{3} }{ \sqrt{3} } }} \\ \\ = { \sf{ \frac{ \sqrt{3} }{ {( \sqrt{3}) }^{2} } = \frac{ \sqrt{3} }{3} }} [/tex]

Answer:

k=3/2 or 1 1/2

Step-by-step explanation:

Answer  3/2

Step-by-step explanation:

Answer:

They got 3.00 back

Step-by-step explanation:

Since they both bought a book it means you have to double the price of one book.

3.50+3.50=7.00

Then since you are looking for the difference of 10.00 you would subtract it.

10.00-7.00=3.00

Answer:

? ≈ 28°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin? = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{19}{41}[/tex] , then

? = [tex]sin^{-1}[/tex] ([tex]\frac{19}{41}[/tex] ) ≈ 28° ( to the nearest degree )

Answer:

All of them: A, B, and C

Step-by-step explanation:

Answer:

A, B, and C

Step-by-step explanation:

Recall the exponent property [tex](a^b)^c=a^{(b\cdot c)[/tex].

Therefore,

[tex](v^{-1})^{1/9}=(v^{1/9})^-1=v^{-1/9}[/tex]

In addition, fraction exponents can be written as radicals such that:

[tex]a^{b/c}=\sqrt[c]{a^b}[/tex]

Thus, [tex](\sqrt[9]{v})^{-1}=(v^{1/9})^{-1}=(v^{-1})^{1/9}[/tex].

Therefore, answer choices A, B, and C are correct.

We know

[tex]\boxed{\sf cos\theta=\dfrac{B}{H}}[/tex]

[tex]\\ \sf\longmapsto cos\theta=\dfrac{8}{16}[/tex]

[tex]\\ \sf\longmapsto cos\theta=\dfrac{1}{2}[/tex]

[tex]\\ \sf\longmapsto cos\theta=cos60[/tex]

[tex]\\ \sf\longmapsto \theta=60[/tex]

Answer:

363

Step-by-step explanation:

Formula for area of a circle

A = πr^2

Where r = radius

The circle has a given radius of 11

To find the area of the circle we simply substitute r in the formula with the value of the radius (11)

( Also note that the question says to use 3 for π )

A = πr^2

π = 3

r = 11

Substitute values in formula

A = (3)(11)^2

11^2 = 121

A = 121(3)

121(3) = 363

A = 363

Answer:

Since this function is definable for all real values of x,

Domain(f(x)) = R = (-∞,∞)

Step-by-step explanation:

Now,

Let 4x-8=y

4x = y+8

x = (y+8)/4

Since x is definable for all real values of y,

Range(f(x)) = R = (-∞,∞)

Answer:

[tex]{ \sf{( \sec \theta - \csc \theta)(1 + \tan \theta + \cot \theta) }} \\ = { \sf{( \sec \theta + \tan \theta \sec \theta + \cot \theta \sec \theta) - ( \csc \theta - \csc \theta \tan \theta - \csc \theta \cot \theta)}} \\ = { \sf{( \sec \theta + \sec \theta \tan \theta + \csc \theta) - ( \csc \theta - \sec \theta - \csc \theta \cot \theta)}} \\ = { \sf{ \sec \theta \tan \theta + \csc \theta \cot \theta }} \\ { \bf{hence \: proved}}[/tex]

Answer:

3/1 times 1/4, 3/2 times 1/2, 9/8 times 2/3

Answer:

1/2 & 3/2

Step-by-step explanation:

1/2 X 3/2 = 3/4

To get this answer, you need to think of two numbers which we can multiply to get 3 and two numbers which we can multiply to get 4.

Answer from Gauthmath

Answer:

B

Step-by-step explanation:

You need a number that when multiplied by itself 3 times gives you 512. So the length and width of the bottom layer must be 8 by 8 which is 64.

The layers are 8 cm high, so that's the third number you multiply together.

Volume = 8*8*8 = 64

But the answer you want is 8*8 which is 64

Answer:

x = 53.4

Step-by-step explanation:

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

tan theta = opp/ adj

tan 51 = 66/x

x tan 51 = 66

x = 66/ tan 51

x=53.44574

Rounding to the nearest tenth

x = 53.4

Answer:

Look down below

Step-by-step explanation:

A.)Net capitalized cost=146,000-3000= $143,000

Net capitalized cost = 143,000

B.)Money factor=8.4/100 over 24=0.084/24=0.0035

Money Factor= 0.0035

C.)Average monthly finance charge= (143,000+75,000)x 0.0035= 218,000 x 0.0035=$763

Average Monthly Finance Charge= $763

D.)Average monthly depreciation= 143,000-75000/5 x 12=68000/60=$1133.33

Average monthly deprecation= $1133.33

E.)monthly lease payment=1133.33/5= $226.66

Monthly lease payment= $226.66

Answer:

HOPE IT HELP YOU . Plz tell me if it is write or wrong .

Answer:

abe = ebc

Step-by-step explanation:

bcos both the seperate angels have the same degree

Answer:

(x,y+4)

Step-by-step explanation:

This shows a translation of 4 units up, so the y coordinate increases by 4. Please mark brainliest as I need 1 more to move up. It would be much appreciated.

Answer:B

Step-by-step explanation:

Answer:

the inequality is 0<x<4

Step-by-step explanation:

(0,4)

Answer:

Step-by-step explanation:

In the equation y = mx + b, which is the form Ingrid's equation is in, the m stands for the rate of change. If the water level is decreasing, the rate at which it is decreasing is what goes in for m. The "b" of that equation indicates the starting height of the water, which is 170. The equation should be:

y = -4x + 170, negative because the water is decreasing.

Answer:

x = 126

Step-by-step explanation:

The angles are complementary which means they sum to 180

x+54 =180

x = 180-54

x = 126