What is the perimeter of this trapezoid?

Answer:

x=12.124

y=14

Step-by-step explanation:

tan(30)= 7/x

x= 7/tan(30)

sin(30)= 7/y

y= 7/sin(30)

Answer:

$2961.41

Step-by-step explanation:

Base rate for a state workers compensation insurance = $5,12 per $100 paid in wages

Scott park payroll for march = $5784 ( inclusive of insurance payment )

Determine the monthly premium for insurance

$5.12 = $100

First; calculate how many $100 are in $5784

 = 5784 / 100 = 578.4

Hence the monthly premium for workers compensation insurance

= $5.12 * 578.4

= $2961.41

Answer:

x = 25°

Step-by-step explanation:

The secant- secant angle is half the difference of the intercepted arcs, that is

x = [tex]\frac{1}{2}[/tex] (80 - 30)° = 0.5 × 50° = 25°

Answer:

x = 25°

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

Let line to be found be Line 2

Given:

Line 1

x - 5y = 15

x - 15 = 5y

Therefore slope = 1/5

Line 2

Point = (-5,7)

Slope = 1/5

Therefore: 7 = (1*-5)/5 + c

=> 7 = -1 + c

=> c = 8

Answer:

x=0,-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

see you have to add something that equalles 0 so any questions like this you put a negitive infront of the 7.

Answer:

Perimeter = (16z - 2)

Step-by-step explanation:

Perimeter of a polygon = sum of the lengths of all sides of the polygon

Sum of all sides of the trapezoid = (z + 5) + (8z - 10) + (4z + 9) + (3z - 6)

By adding like terms,

Perimeter of the trapezoid = ( z + 8z + 4z + 3z) + (5 - 10 + 9 - 6)

                                            = 16z - 2

Therefore, expression representing the perimeter of the trapezoid will be,

(16z - 2)

613 Step-by-step explanation:

Answer: Annalise says that Philip will earn $320 more at First Bank than at GrandBank.

Step-by-step explanation:

Formula for Simple interest = Principal × Rate × Time

At GrandBank, the simple Interest will be:

= $2000 × 6% × 8

= $2000 × 0.06 × 8

= $960

At First Bank, the Simple interest will be:

= $2000 × 8% × 8

= $2000 × 0.08 × 8

= $1280

Based on the above, Philip will earn ($1280 - $960) = $320 more at First Bank.

Answer:

Area = 2x^4  + x^3 - 15x^2 + 8x + 24

Step-by-step explanation:

A = (x + 3)(2x^3 - 5x^2 + 8)

A = 2x^4 - 5x^3 + 8x + 6x^3 - 15x^2 +24

combine like terms:

Area = 2x^4  + x^3 - 15x^2 + 8x + 24

Answer:

0..99

Step-by-step explanation:

Answer:

D) [tex]6+2\sqrt{6}[/tex]

Step-by-step explanation:

[tex]2\sqrt{3} *(\sqrt{2} +\sqrt{3} )\\\\6+2\sqrt{6}[/tex]

Answer:

The radian measure of 30° is [tex]\frac{\pi}{6}[/tex] radians.

Step-by-step explanation:

A complete revolution equals 360°, that is, 2π radians. If the given angle is 30°, then the value of the radian measure is calculated by the following simple rule of three:

[tex]x = \frac{30^{\circ}}{360^{\circ}}\times 2\pi[/tex]

[tex]x = \frac{\pi}{6}\,rad[/tex]

The radian measure of 30° is [tex]\frac{\pi}{6}[/tex] radians.

Answer:

x = 23 degress

Step-by-step explanation:

(x + 2) + 65 = 90

x + 2 = 25

x = 23 degress

Answer:

(x-2)*(x-9)

Step-by-step explanation:

hope this helps!!

Answer:

2.26

Step-by-step explanation:

To round our answer to nearest hundredth, we will round our answer to 2 digits after decimal. We can see that thousandth value is less than 5 that is 3, so will keep last digit 6 as: Therefore, the decimal value of our given fraction is approximately 2.26 to the nearest hundredth.

Answer:

51.0feet

Step-by-step explanation:

To get the length of the given diagonal, we will use pythagoras theorem as shown;

First we need to get the diagonal of the  base;

d² = 40²+30²

d² = 1600+900

d² = 2500

d = √2500

d = 50ft

The diagonal of the base is 50ft

Get the required diagonal

Let the required diagonal be x

x² = 10²+50²

x² = 100+2500

x² = 2600

x = √2600

x = 50.99feet

Hence the distance of the red line is 51.0feet to the nearest tenth

Answer:

A≈24.65in²

Step-by-step explanation:

A=πr2

C=2πr

Solving forA

A=C2

4π=17.62

4·π≈24.64992in²

Happy Friday!

Answer:

18.044

Step-by-step explanation:

hope it helps you good day if I'm wrong tell me right away I'll try it out again.

The measure of  ∠B   is 31.6 .

Trigonometric ratios are the ratios of the length of sides of a triangle.

These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.

The basic trigonometric ratios formulas are given below,

sin θ = Perpendicular/Hypotenuse

cos θ = Base/Hypotenuse

tan θ = Perpendicular/Base

sec θ = Hypotenuse/Base

cosec θ = Hypotenuse/Perpendicular

cot θ = Base/Perpendicular

According to the question

In right angle triangle ACB

Base BC= 22.9

Perpendicular AC = 14.1

now , using trigonometric ratio

tan ∠B  = [tex]\frac{AC}{BC}[/tex]

tan ∠B  = [tex]\frac{14.1}{22.9}[/tex]

∠B  = [tex]tan^{-1} 0.615[/tex]

∠B  = 31.6

Hence, The measure of  ∠B   is 31.6 .

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Answer:

M=t/x

Step-by-step explanation:

I love these math problems! Do u have more? I really need something 2 do

The cost of bill is,

⇒ $24

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

A 15% tip on a restaurant bill is $3.60.

Now,

Let the cost of bill is, $x

Hence, We can formulate;

⇒ 15% of x = 3.60

⇒ 15x/100 = 3.60

⇒ 15x = 360

⇒ x = 360 / 15

⇒ x = 24

Thus, The cost of bill is, $24

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Answer:

so far i think 9 but that's all I know for how

Step-by-step explanation:

image them turning into triangles

Answer:

19.5°

Step-by-step explanation:

IN EFG the measure of G=90 DG=21 feet and EF=63 feet find the measure of E to the nearest degree.​

We solve the question using Sine rule

= a/sin A = b/sin B

= 21/sin E = 63/sin 90

Cross Multiply

Sin E × 63 = 21 × sin 90

sin E = 21 × sin 90/63

E = arc sin( 21 × sin 90/63)

E = 19.47122°

Approximately = 19.5°

Answer:

its -2

Step-by-step explanation:

like my answer and gimme brainliest please

Answer:

A.

Step-by-step explanation:

The slope increases from left to right.

Answer: Positive Slope

Step-by-step explanation:

If it’s from left to right in an upwards direction, it’s positive, if it’s left to right in a downwards directio, it’s negative

Given:

The given vector is:

[tex]v=9i-6j[/tex]

To find:

The unit vector in the direction of the given vector.

Solution:

If a vector is [tex]v=ai+bj[/tex], then the unit vector in the direction of the this vector is

[tex]\hat v=\dfrac{v}{|v|}[/tex]

Where, [tex]|v|=\sqrt{a^2+b^2[/tex]

We have,

[tex]v=9i-6j[/tex]

Here, [tex]a=9[/tex] and [tex]b=-6[/tex]. So,

[tex]|v|=\sqrt{9^2+(-6)^2}[/tex]

[tex]|v|=\sqrt{81+36}[/tex]

[tex]|v|=\sqrt{117}[/tex]

[tex]|v|=3\sqrt{13}[/tex]

Now, the unit vector in the direction of the given vector is:

[tex]\hat v=\dfrac{9i-6j}{3\sqrt{13}}[/tex]

[tex]\hat v=\dfrac{9i}{3\sqrt{13}}-\dfrac{6j}{3\sqrt{13}}[/tex]

[tex]\hat v=\dfrac{3}{\sqrt{13}}i-\dfrac{2}{\sqrt{13}}j[/tex]

Therefore, the required unit vector is [tex]\hat v=\dfrac{3}{\sqrt{13}}i-\dfrac{2}{\sqrt{13}}j[/tex].