Simplify this question

Answer:

x = 6.4

Step-by-step explanation:

Taking the sin ratio of the angle :

Answer:

[tex]2\sqrt{34}[/tex]

Step-by-step explanation:

We can add a line to create a triangle and a rectangle. The triangle will have side lengths 10 and 6. Furthermore, it will be a right triangle, meaning we can apply the Pythagorean Theorem to find x, the hypotenuse.

[tex]6^2 + 10^2 = x^2\\x = \sqrt{6^2 + 10^2}\\ = \sqrt{136} \\= 2\sqrt34}[/tex]

hope this helped! :)

Answer:

X = 5

Step-by-step explanation:

When the line is going vertically down, the x-intercept is always the equation of the line.

Linear equations are typically organized in slope-intercept form:

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

However, for vertical line equations, we write them a little differently:

[tex]x=d[/tex]

We write equations for vertical lines like this because they might not always have a y-intercept.

We're given:

This means that the x-intercept of the line is 5. Plug this into [tex]x=d[/tex]:

[tex]x=d[/tex]

[tex]x=5[/tex]

[tex]x=5[/tex]

The linear function that gives the cost of spending h hours at the park is given by:

C(h) = 2 + mh.

In which m is the hourly rate.

A linear function is modeled by:

y = mx + b

In which:

The fixed rate is the y-intercept, hence, the linear function that gives the cost of spending h hours at the park is given by:

C(h) = 2 + mh.

In which m is the hourly rate.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

The income tax of Mrs Gerung based on the information given in a year will be Rs 142000.

From the information given, the monthly income is s Rs 50,000 and the annual income is equivalent to her 15 month's salary,

The income tax will be:

= 50000 + (450000 × 1%) + (100000 × 10%) + (200000 × 20%) + (125000 × 30%)

= 50000 + 4500 + 10000 + 40000 + 37500

= 142000

Learn more about tax on:

brainly.com/question/25783927

#SPJ1

Answer:

1,800 more

Step-by-step explanation:

12 × 3 = 36 months

$625 × 36 = $22,500

12 × 5 = 60 months

$405 × 60 = $24,300

$24,300 - $22,500 = $1,800

the interest is paid per month, so we first need to convert the years to months. after that we calculate the total amount of money paid over the specified years. and then we subtract the one from the other to get the difference.

Answer:

C) 150

Step-by-step explanation:

A decrease of 50% every two days can be predicted with the formula
x * 0.5^t
x being the start amount
t being time
5 days with periods of 2.5 days, 5 / 2.5 = 2
start amount of 600
600 * 0.5^2
600 * 0.25
150 so C

If the area of the carpet will be 301 square feet. Then the cost of the carpet will be $ 752.5.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.

The owner of a sports complex wants to carpet a hallway connecting two buildings.

The diagram is given below.

The carpet costs $2.50 per square foot.

The area of the carpet will be given by the area of the trapezium.

Area = 1/2 (24 + 28) x 7 + 1/2 (15 + 19) x 7

Area = 0.5 x 52 x 7 + 0.5 x 34 x 7

Area = 182 + 119

Area = 301 square feet

Then the cost of the carpet will be

Cost of carpet = $ 2.5 x 301

Cost of carpet = $752.5

More about the trapezium link is given below.

https://brainly.com/question/22607187

#SPJ1

Check the picture below.

Make sure your calculator is in Degree mode.

Answer:

Area of the paper required =7000 cm²

Step-by-step explanation:

Dimensions of an Aquarium:

Length (l) = 80 cm,

Breadth (b) = 30 cm,

Height (h) = 40 cm

/* According to the problem given,

Area of the paper required =

Area of the base + 2×Area of two side faces + Area of the back side

(Front side should be visible,So, it is not covered )

= lb+2×bh+lh

= 80×30+2×(30×40)+80×40

= 2400+2×1200+3200

= 2400+2400+3200

= 7000 cm²

Therefore,

Area of the paper required =7000 cm²

Step-by-step explanation:

Answer:

-1,0,1/2,1.7

Step-by-step explanation:

Answer:

-1, 0, 1/2, 1.7

Step-by-step explanation:

hope this helps

have a good day

Answer:

35°

Step-by-step explanation:

7π=210°

so I assume you just divide 210° by 6 and that comes out to 35°

I HOPE this helps!

Answer:

Er I think it’s 8 but not sure

Step-by-step explanation:

Answer:

7 ft ×6 ft

Step-by-step explanation:

Area of rectangle= length ×width

Let the length and width of the rectangle be L and W ft respectively.

Form 2 equations using the given information:

LW= 42 -----(1)

L= 3W -11 -----(2)

Substitute (2) into (1):

(3W -11)(W)= 42

Expand:

3W² -11W= 42

3W² -11W -42= 0

[tex]\boxed{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }[/tex]

Applying quadratic formula:

[tex]W= \frac{ - ( - 11)± \sqrt{( - 11) {}^{2} - 4(3)( - 42) } }{2(3)} [/tex]

[tex]W= \frac{ 11± \sqrt{625 } }{6} [/tex]

[tex]W= \frac{ 11± 25}{6} [/tex]

W= 6 or W= [tex] - \frac{7}{3} [/tex] (reject)

Substitute W= 6 into (1):

L(6)= 42

L= 42 ÷6

L= 7

Thus the dimensions of the rectangle is 7 ft ×6 ft.

Answer:

16.97

Step-by-step explanation:

Therefore b= 16.97

The vertex of the function is a maximum and on the interval (-1,0), the function approaches negative infinity as x approaches positive infinity

The function is given as:

f(x)= -2|x+1| + 2

The above function is an absolute value function

An absolute value function is represented as:

y = a|x - h| + k

Where the vertex is:

Vertex = (h, k)

When a is less than 0, then the vertex is at maximum

By comparison, we have:

a = -2

(h,k) = (-1, 2)

-2 is less than 0

Hence, the vertex of the function is a maximum and on the interval (-1,0), the function approaches negative infinity as x approaches positive infinity

Read more about absolute value functions at:

https://brainly.com/question/3381225

#SPJ1

The measurement is closest to height of tree is 8.7

The correct option is (B).

The branch of mathematics concerned with specific functions of angles and their application to calculations.

As the distance between base and tip of tree's shadow is 24 feet

Angle of Elevation is  20 degrees

[tex]tan \theta \; = \frac{P}{B}[/tex]

tan 20 = [tex]\frac{P}{24}[/tex]

0.3639 = [tex]\frac{P}{24}[/tex]

P= 0.3639 *24

P = 8.7336

The measurement is closest to height of tree is 8.7

Learn more about trigonometry here:

https://brainly.com/question/26719838?referrer=searchResults

#SPJ1

Answer:

20 hrs

Step-by-step explanation:

t = third worker

1 / ( 1/20 + 1/15 + 1/t)  = 6

1 = 6/20 + 6/15 + 6/t

3/10 = 6/t

t = 20 hrs    

Answer:

Step-by-step explanation: C. pay off credit debt, emergency fund, retirement

Answer:

Craig must be rich LOL cuz It says its 1/20 of his paycheck each month so u have to multiply by 20

Step-by-step explanation:

720*20 = 14440

Answer: 2/3

Step-by-step explanation:

First, find the probability of rolling an odd number. The odd numbers on a 6-sided die are 1, 3, and 5. This is a probability of 3/6.

Now, find the probability of rolling a 2. There's only one 2 on a die, so the probability is 1/6.

Next, add these together. 3/6 + 1/6 = 4/6. This can be reduced by dividing both the numerator and denominator by 2. This results in a final probability of 2/3.

Answer:

7.2

Step-by-step explanation:

(6)^2 + (4)^2

36 + 16

52

square root of 52 = 7.2

Step-by-step explanation:

[tex] = 2(x + 3) + 3(x - 4)[/tex]

[tex] = 2x + 6 + 3x - 12[/tex]

[tex] = 2x + 3x + 6 - 12[/tex]

[tex] = 5x - 6[/tex]

...

Answer:

y = -4x - 11

Step-by-step explanation:

This equation is in slope-intercept form.

y = mx + b

Slope-intercept form is a fill-in-the-blank shortcut to write an equation of a line. The m is the slope right beside the x (b is the y-intercept, but we don't even need that for this question) Only the first and last answers are in the correct format and only the first one has the right slope. You can also check it by putting (-3,1) into the equation. It checks! Graphing is a good check also.

Answer:

d

Step-by-step explanation:

sin angle (60) would have been equal to 0.5 or a 1/2

and cos angle(60) would have been equal to 0.86 then you'll say square by 3 over 2

Let me know if this answer can work

Best of Luck

Answer:

[tex](f - g)(x) = x^2 + 4x + 3[/tex]

Step-by-step explanation:

[tex]f(x) = 2x^2 - 5g(x) = x^2 - 4x - 8(f - g)(x)=2x^2 -5 - (x^2 -4x-8)[/tex]

[tex]= 2x^2 -5 -x^2 +4x+8[/tex]           ----------> distribute

[tex]= x^2 +4x +3[/tex]  ------------> combine like terms

Therefore, Option B is the correct answer.

Answer:

∠FDE or ∠GDA

Step-by-step explanation:

The adjacent angle refers to the angle which lies right next to an angle, and the sum of the angles is 180, meaning they are supplementary.

Here, in this diagram, there are 2 adjacent angles for ∠FDG :

Exponential functions are known to increase geometrically. An example of exponential function is  p(x) = 500(1.02)^x

Exponential functions are known to increase geometrically. The standard exponential function is given as:

y = ab^x

a is the base

x is the exponent

From the given options, the function written in this form is

p(x) = 500(1.02)^x. Hence an example of exponential function is

p(x) = 500(1.02)^x

Learn more on exponential function here: https://brainly.com/question/12940982

#SPJ1