What is the length of the missing leg? If necessary, round to the nearest tenth

Answer:

is that 32 / 3 or 3^2/3 ...?

Step-by-step explanation:

if 32/3 and 51/7

then answer will be 1120/17

Answer:

The Answer is C.

Step-by-step explanation:

f(x) = cos x , g(x) = cos(x - π/4)

Equation: f(x) = a * cos (x - h) + k

Since the equation only has h = π/4, it means that it shift right.

Answer:

[tex]\theta = \frac{\pi}{3} , \pi, \frac{5\pi}{ 3}[/tex]

Step-by-step explanation:

we want to solve the following trigonometric equation:

[tex] \displaystyle - 2 { \sin}^{2} (\theta )+ \cos( \theta) + 1 = 0, \: \theta \in [0,2\pi)[/tex]

The first step of solving trigonometric equation is to rewrite the equation in terms of one trigonometric function . With Pythagorean theorem, we know that sin²x=1-cos²x . It will be helpful to rewrite the equation in terms of one trig functions. Therefore, substitute 1-cos²[tex]\theta[/tex] in the place of sin²[tex]\theta[/tex]:

[tex] \displaystyle - 2 (1 - \cos ^{2} ) + \cos( \theta) + 1 = 0, \: \theta \in [0,2\pi)[/tex]

simplify:

[tex] \displaystyle\implies - 2 (1 - \cos ^{2} (\theta) + \cos( \theta) + 1 = 0, \: \theta \in [0,2\pi)\\\implies- 2 + \cos ^{2} (\theta)+ \cos( \theta) + 1 = 0, \: \theta \in [0,2\pi)\\\implies\cos ^{2} (\theta)+ \cos( \theta) -1 = 0 [/tex]

Consider cos² [tex]\theta\implies[/tex] x. Thus,

[tex]2 {x}^{2} + x - 1 = 0[/tex]

solving the quadratic equation yields:

[tex]{x}^{} = \frac{1}{2} \\ x = - 1[/tex]

back-substitute:

[tex] \begin{cases} \cos( \theta) = \dfrac{1}{2} \\ \cos( \theta) = - 1 \end{cases} \theta \in[0,2\pi)[/tex]

take inverse trig in both sides

[tex] \implies \begin{cases} \theta = \dfrac{\pi}{3} + 2n\pi\\\theta= \frac{5\pi}{3} + 2n\pi \\ \theta = \pi + 2n\pi\end{cases} \theta \in[0,2\pi) \\\\\implies\theta= \frac{\pi}{3}+\dfrac{2n\pi}{3},\theta\in [0,2\pi)\\\text{when n=0}\\ \implies \theta = \frac{\pi}{3} \\ \text{when n=1}\\ \theta= \pi\\ \text{when n=2}\\\theta=\frac{5\pi}{ 3} [/tex]

In conclusion,

[tex]\displaystyle\theta = \frac{\pi}{3} , \pi, \frac{5\pi}{ 3}[/tex]

Answer:

h=6

Step-by-step explanation:

To find the volume of a right angle prism-

Find area of cross-section, in this case an isoscles triangle so we know that both of the parallel lines are 3ft

To find the area of the cross-section, do:

3 x 3 = 9

9 ÷ 2 = 4.5 (Area of cross-section)

Since we don't know the length of h, we need do:

27^3 ÷ 4.5 = 6

Therefore 6 is h

Hope I explained it okay:)

Answer:

8x=55+73

8x=128

X=128/8

X=16

Step-by-step explanation:

check:

-73+8(16)=55

-73+128=55

55=55

I hope you understand

Answer:

Richard

Step-by-step explanation:

28 days=4 weeks

40 paintings in 4 weeks

45 paintings in 5 weeks

Richard weekly rate: 40/4=10 paintings per week

Nestor weekly rate: 45/5=9 paintings per week

If richard's rate is 10 while nestor's is 9, richard has a faster rate

Answer:

-2 square root 5

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Solving for x in ΔLMN

Angles in ΔLMN

Solving for y in ΔSTU

Angles in ΔSTU

⇒ Their angles are equal (in ΔLMN and ΔSTU)

⇒ ΔLMN and ΔSTU are similar

Answer:

Scale factor = 4

If you multiply by 4 the two sides of ABCD, you will get the corresponding sides of A’B’C’D’

The theorem state that the products of the lengths of the line segments on each chord are equal. The value of x from the figure is 15.75

The theorem state that the products of the lengths of the line segments on each chord are equal.

According to the given diagram;

9 * 21 = 12 * x

189 = 12x

Divide both sides by 12

12x/12 .= 189/12

x = 189/12

x = 15.75

Hence the value of x from the figure is 15.75

Learn more on Intersecting chord theorem here:https://brainly.com/question/23732231

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Answer:

A, 3/7.

Step-by-step explanation:

There are 7 shapes overall shown. Since there are 3 triangles, we need to do 3/7.

Answer: 3/7

Step-by-step explanation:

Number of triangles / total number of shapes

Answer:

75

Step-by-step explanation:

because the formula of finding the area of a triangle is base times height divided by 2 so thatshow you get the answer, multiply 10by15 and then divide by 2

Answer:

The answer would be 75 ft ^2

Step-by-step explanation:

Step 1. Do 15x10 (which equals 150)
Step 2. Divide by 2 to get the answer of 75
Step 3. Label to get 75 ft ^2

Answer:

  4%

Step-by-step explanation:

The interest earned on the investment is the difference between the end-of-year value and the initial value:

  $83.20 -80 = $3.20 . . . . simple interest per year

__

The interest rate is the ratio of this to the initial investment:

  $3.20/$80.00 = 0.04 = 4% . . . . . simple interest rate per year

Answer: Median is 5

Mean is 7.5

Step-by-step explanation: Median: arrange from smallest to largest and chose the middle number

Mean is the average. Add all the numbers and divide by 8

Answer:

Step-by-step explanation:

Step-by-step explanation:

x² x<1

-x²+4x-1 1<x<3

x-3 x>3

Feel free to ask question in the comments

Answer:

526.4

Step-by-step explanation:

560 - 6%

= 526.4 you will pay for the shirt

Answer:

A to C is [tex]37.51\ ft[/tex]

Step-by-step explanation:

We are given an angle and the base length. Recall:

[tex]tan(x) = \frac{opposite}{adjacent}[/tex]

Add the values:

[tex]tan(15) = \frac{x}{140}[/tex]

Solve for x:

[tex]tan(15) = \frac{x}{140}\\tan(15) * 140 = x\\37.51 = x[/tex]

Answer:

3468 students

Step-by-step explanation:

289 x 12 = 3468

Answer:

Step-by-step explanation:

1 and 4 are adjacent supplementary angles. This will mean that 180-68=112

<4=112 degrees

<3 is the same as 1 which is 68 since they are vertical angles.

<2 is also 112

Answer:

2=112

3= 68

4= 112

Step-by-step explanation:

Each line adds to 180

So subtract 68  and it will give you the opposite side(2)  112

the angle across from it has tha same value so 2 and 4 are the same mesure

Answer:

31.5 in²

Step-by-step explanation:

The area of a triangle is calculated with the following formula:

1/2*b*h (b: base, h: height)

The height of this triangle is given as 9 and base is 7

1/2*7*9 = 31.5 in²

Answer:

31.5 in²

Step-by-step explanation:

Answer:8/25

Step-by-step explanation: 4/25 ×2/1

Answer: hii

Exact form:

8/25

Decimal Form:

0.32

_____________________

Step-by-step explanation:

Simplify the expression.

Hopefully this helps you

- Matthew

Answer:

1.D

2.B

3.F

4.E

5.A

6.C

Answer:

88

Step-by-step explanation:

PE M/D A/S

55/ (9-4) *8

9-4=5

55/5*8

11*8

88

Answer:

Mean 27

Median 9

Mode 12, 2, 64, 0, 48, 4, 6, 80

Step-by-step explanation:

Answer:

n = 6

Rule: Times 3

Step-by-step explanation: