What is the area of and the perimeter of this triangle?



A= 33 square yards; P= 40 yards


A= 40 square yards; P= 33 yards


A= 80 square yards; P= 33 yards


A= 25 square yards; P= 28 yards

Answer:

d° = 62°

e° = 90°

f° = 27°

g° = 27°

h° = 118°

j° = 62°

k° = 63°

Step-by-step explanation:

The relationship between the given angles are;

k° = 63° (Vertically opposite angles)

63° + f° = 90° (Given complementary angles)

∴ f° = 90° - 63° = 27°

f° = 27°

g° = f° (Vertically opposite angles)

∴ g° = f° = 27°

g° = 27°

e° + 63° + f° = 180° (The sum of angles on a straight equals 180°)

∴ e° = 180° - (63° + r°) = 180° - (63° + 27°) = 90°

e° = 90°

h° = 118° (Vertically opposite angles)

118° + d° = 180° (The sum of angles on a straight equals 180°)

∴ d° = 180° - 118° = 62°

d° = 62°

j° = d° (Vertically opposite angles)

∴ j° = d° = 62°

j° = 62°

Answer:

d = 9

Step-by-step explanation:

Given

1 = [tex]\frac{1}{3}[/tex] d - 2 ( multiply through by 3 to clear the fraction )

3 = d - 6 ( add 6 to both sides )

9 = d

Answer:

d=9

Step-by-step explanation:

First we can do same to both side by adding 2 to both sides:

1=1/3d-2

+2     +2

--------------

3 = 1/3d

Then to get the d on its own, we multiply each side by 3

3=1/3d

*3    *3

---------

9=d

Our final answer is 9

Answer:

Angle 1 is 57 degrees

Angle 3 is 57 degrees

Angle 4 is 123 degrees

Step-by-step explanation:

Cause a straight line is 180 degrees and if angle 2 is 123 degress then angle 3 is 57 degrees and i got that by Subtracting 180-123 =57

Then for angles one you do the same maththat you do for finding angle 3

Then for angles 4 subtract 180-57=123

Answer:

Answer: B

Step-by-step explanation:

does not show up on graph

Answer:

Step-by-step explanation:

The center is at (2,-7). The radius is 2.

(x-2)² + (y+7)² = 2²

Answer:

it'll be B

Step-by-step explanation:

ive took the test turned out i got it right

Answer:

21.65 feets

Step-by-step explanation:

First we obtain the angle of elevation :

Using Pythagoras rule :

Cosθ = adjacent / hypotenus

Cos θ = 30 / 37

θ = cos^-1(30/37)

θ = 35.82°

Hence, height of flagpole :

Sin θ = opposite / hypotenus

Sin θ = x / 37

Sin(35.82) = x / 37

0.5853083 * 37 = x

x = 21.65 feets

Height of flagpole = 21.65 feets

Answer:

$7

Step-by-step explanation:

Let a be the price of the adult ticket and s be the price of the student ticket

That means that:

2a+3s=39

and

a+2s=23

Using elimination

-2(a+2s=23)

-2a-4s=-46

-2a-4s=-46

2a+3s=39

Eliminate a:

-s = -7 ; s = 7

I probably made this so much more complicated than it should be but...

Answer:

If he has no other expenses, 5

Step-by-step explanation:

4200/960

five, if you round up

4.375

Answer:

80 ounces is heavier by 8 ounces or half a pound

Step-by-step explanation:

1 pound = 16 ounces

4.5*16= 72 ounces

Answer: Multiplication

Step-by-step explanation: The M in PEMDAS stands for Multiplication

Answer:

17

Step-by-step explanation:

Remark

In this formation, the chords cut each other so that

Equation

(3x - 1) * 3 = 12*(x -2)        Remove the brackets.

Solution

9x - 3 = 12x - 24                       Add 24 to both sides.

9x - 3 + 24 = 12x - 24 + 24      Combine

9x + 21 = 12x                            Subtract 9x from both sides

9x - 9x +21 = 12x - 9x

21 = 3x                                     Divide by 3

21/2 = 3x/3              

7 = x

Find QR

QR = 12 + x - 2

QR = 10 + 7

QR = 17

Simple interest , I, is calculated by multiplying the principal, P, by the rate,r, by the time, t, in years:

I = P * r * t

Here, P = $600

r = 0.05 (decimal value for 5%)

t = 2 years

Part a)

The interest earned will be:

I = P * r * t

I = 600 * 0.05 * 2

I = $60  

Part b)  

The balance in the account will be $600 plus the interest earned or:

$600 + 60 = $660

Answer:

$60 interest

Step-by-step explanation:

divide 5 by 100 = 0.05

multiply 0.05 by 600 = 30

then multiply 30 by the number of years (2) 30×2= 60

60 dollars interest

I think

Answer: m=20

Step-by-step explanation:

Answer:

25/6 = 4 with a remainder of 1

Answer:

the answer is

25÷6=4.1 because it is

Answer:

5

Step-by-step explanation:

the slopes will be the same if they are parallel

reagrange the equation to find the gradient

5x-y = -9

y= 5x+9

gradient = 5

Answer: vertical

Step-by-step explanation:

Answer: its A

Step-by-step explanation:

Answer:

(-2)(100) or 10^2 is 100

Step-by-step explanation:

(x -2)(x+100) =x

Additional roots of polynomial function P(x) with rational coefficients are (2i) and (- √10).

" If z = a +bi be the given complex number, then its conjugate is represented by [tex]\bar{z}[/tex] = a -bi , where  real parts remain same only imaginary part  get changed with opposite sign."

Theorem used

Conjugate Root theorem

Complex conjugate root theorem states that if P(x) is a polynomial in one variable with real coefficient , for P(x) if one root is a + bi  with real numbers a and b then its conjugate that is a - bi is also another additional root of P(x).

According to the question,

Two given roots of polynomial function with rational coefficients are -2i and √10.

As per Conjugate root theorem,

Here one root is 0 - 2i then other root is its conjugate 0 + 2i

Also one root is 0 + √10 then another root is 0 - √10.

Therefore, two additional roots are 2i and -√10.

Hence, additional roots of polynomial function P(x) with rational coefficients are (2i) and   (- √10).

Learn more about conjugate of complex number here

https://brainly.com/question/18392150

#SPJ2

Answer:

120 Degrees

Step-by-step explanation:

Considering all the angles will be 60 degrees, we know that the exterior angles must also be 120 degrees.

Simple as that.

Answer:

6

Step-by-step explanation:

Hope this helps

Answer:

6.2

Step-by-step explanation:

Divide 11.78 by 1.9. Then you will get 6.2.

Your welcome in advanced.

-YourAverage10YearOld

Answer:

f(x) = 165 * x + 3

Answer:

because since the question is 639 / 6

we immediately know that 600 / 6 is 100

639 / 6 = 106.5

Answer:

You just need a little conversion to get the answer.

[tex]\frac{639}{6}=\frac{600}{6}+\frac{39}{6}\\ = 100+\frac{39}{6} >100[/tex]

Answer:

the answer would be 36

Step-by-step explanation:

hoped I helped:)

Answer:

Hey mate....

Step-by-step explanation:

This is your answer....

= 4×7+2

= 28+2

= 30

Hope it helps you....

Mark me as the brainliest....

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Answer:

(0,320) and (4,0)

Step-by-step explanation:

The question has missing details. So, I've added the complete question as an attachment.

From the question, we understand that:

Justine started when Michael was 320 yards from the top.

This coordinate can be represented as (0,320)

0 represents the time Justine started and 320 represents the number of yards left.

Every minute, Justine covers 80 yards.

This implies that:

At 1 minute, Justine will have: (320 - 80) yards left

At 2 minutes, Justine will have: (320 - 80 - 80) yards left

At 3 minutes, Justine will have: (320 - 80 - 80 - 80) yards left

At n minutes, Justine will have (320 - 80n) yards left

So, possible coordinates are:

[tex](x_1,y_1) = (0,320)[/tex]

[tex](x_2,y_2) = (1,320-80*1) = (1,240)[/tex]

[tex](x_3,y_3) = (2,320-80*2) = (2,160)[/tex]

[tex](x_3,y_3) = (3,320-80*3) = (3,80)[/tex]

[tex](x_4,y_4) = (4,320-80*4) = (4,0)[/tex]

Answer:

Select any two pairs of values from the given table. But, for simplicity, it’s a good idea to select coordinates with integer values. So, two points that represent Justine’s function for the yards left to hike in terms of the hours she’s spent hiking are (1, 270) and (2, 150).

Step-by-step explanation:

Sample Answer

Answer:

a b c

plz give branliest

Step-by-step explanation:

Answer:

the first answer choice and the 3rd one down.