The average yearly rainfall in Lakeview is 21.55 inches. What is the total amount of rainfall in inches in Lakeview in 5.75 years? A 1,239.125 B 12.39125 C 123.9125 D 27.3

Answer:

Angles: 40.9°, 99.05°, 40.05°

Step-by-step explanation:

Triangles

When we are given the lengths of the 3 sides of a triangle, we can easily compute all the internal angles by using the cosine's law or formula. Being x,y and z the sides of a triangle, and \alpha, \beta , \gamma the three opposite angles respectively, then

[tex]x^2=y^2+z^2-2yzcos\alpha[/tex]

[tex]y^2=x^2+z^2-2xzcos\beta[/tex]

[tex]z^2=x^2+y^2-2xycos\gamma[/tex]

We have x=5.9, y=8.9, z=5.8, then from

[tex]x^2=y^2+z^2-2yzcos\alpha[/tex]

We solve for [tex]\alpha[/tex]

[tex]\displaystyle cos\alpha=\frac{y^2+z^2-x^2}{2yz}[/tex]

[tex]\displaystyle cos\alpha=\frac{8.9^2+5.8^2-5.9^2}{2\times 8.9\times 5.8}[/tex]

[tex]cos \alpha=0.756[/tex]

[tex]\alpha=40.9 ^o[/tex]

Similarly

[tex]\displaystyle cos\beta=\frac{x^2+z^2-y^2}{2xz}[/tex]

[tex]\displaystyle cos\beta=\frac{5.9^2+5.8^2-8.9^2}{2\times 5.9\times 5.8}[/tex]

[tex]cos\beta=-0.157[/tex]

[tex]\beta=99.05^o[/tex]

Finally

[tex]\displaystyle cos\gamma=\frac{5.9^2+8.9^2-5.8^2}{2\times 5.9\times 8.9}[/tex]

[tex]cos\gamma=0.765[/tex]

[tex]\gamma=40.05^o[/tex]

Answer:

Answer is D

Step-by-step explanation:

Answer:

(sqrt(5))/4

Step-by-step explanation:

Simplify the following:

sqrt(5/16)

sqrt(5/16) = (sqrt(5))/(sqrt(16)):

(sqrt(5))/(sqrt(16))

sqrt(16) = sqrt(2^4) = 2^2:

(sqrt(5))/(2^2)

2^2 = 4:

Answer: (sqrt(5))/4

Answer:

14.14 in3

Step-by-step explanation:

Answer:

No, it's not

Step-by-step explanation:

Lets simplify the two fractions to the lowest term

for 5/20 we'll divide the numerator and denominator by 5 (the HCF of the two)

it then becomes 1/4

For 4/12 we'll divide the numerator and denominator by 4 (the HCF of the two)

it then becomes 1/3

1/4 = 0.25

1/3 = 0.33

therefore 5/20 is not equal to 4/12

Answer:

55m+63

Step-by-step explanation:

6m+7(7m+9)

6m+49m+63

55m+63

Answer: You're given one leg. Because you know both legs are equal, you know the length of both the legs.

Step-by-step explanation:

You're given the hypotenuse. Divide the hypotenuse by the square root of 2 to find the legs (which are equal).

The sum of the interior angles of the polygon shown is 540 degrees

Solution:

The sum of the measures of the interior angles of a polygon with n sides is:

[tex]Sum = (n -2) \times 180[/tex]

From given figure in question,

Number of sides in polygon = 5 ( which is a pentagon )

Therefore,

n = 5

Thus the sum of measures of interior angles is:

[tex]Sum = (5-2) \times 180\\\\Sum = 3 \times 180\\\\Sum = 540[/tex]

Thus the sum of the interior angles of the polygon shown is 540 degrees

It will take them 6 hours to travel 300 miles. How I got my answer: 160 divided by 3.2 = 50 miles per hour, 300 divided by 50 = 6 hours. Hope I could help! :D

Answer:

t = 6hrs

Step-by-step explanation:

Speed = distance/time

Speed at 160miles in 3.2hrs will be = 160/3.2= 50

At the constant speed of 50, time taken to travel 300miles

Is speed = distance / time

50 =300/t

Cross multiply

50t =300

Divide both sides by 50

t = 300/50

t = 6hrs

Answer:

The correct option is the last option d.) y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot

Step-by-step explanation:

the given equation is [tex]5y + 4 =(x+3)^{2} + \frac{1}{2}[/tex]

Therefore we can write [tex]5y\hspace{0.1cm} = (x+3)^{2} + \frac{1}{2} - 4 \hspace{0.3cm} \Rightarrow \hspace{0.2cm} 5y = (x+3)^{2} - \frac{7}{2} \hspace{0.3cm} \Rightarrow \hspace{0.3cm} y = \frac{(x+3)^{2}}{5} - \frac{7}{10}[/tex]

To find the inverse of the above function let us replace x with y and y with x.

Therefore we get

[tex]x = \frac{(y+3)^{2}}{5} - \frac{7}{10}[/tex]

Now we write the above equation with only y on the Left hand side and we will obtain the inverse of the given function

[tex]y = \pm \sqrt{5 (x + \frac{7}{10} )} \hspace{0.1cm} - \hspace{0.1cm} 3 \hspace{0.1cm} \Rightarrow\hspace{0.1cm} y = \pm \sqrt{5x + \frac{7}{2} } - \hspace{0.1cm} 3 \hspace{0.1cm}[/tex]

Therefore the correct option is the last option d.) y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot , [tex]y = \pm \sqrt{5x + \frac{7}{2} } - \hspace{0.1cm} 3 \hspace{0.1cm}[/tex]

Answer:

y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot

Step-by-step explanation:

Kara walks A. 3 2/5 miles

Step-by-step explanation:

Step 1; We must calculate how much 2/5 miles is. 2/5 miles equals 0.40 miles. Kara walks this distance times 8 1/2. 8 1/2 times equals 8.5 times. So the distance she walked is the number of loops walked × distance of each loop.

Total distance walked = Number of loops walked × distance of each loop

                                      = 8.5 loops × 0.20 miles = 3.4 miles

Step 2; In order to check which option this is, we must know what values all the given options are equal to

A. 3 2/5 miles equals 3 miles + 2/5 miles = 3 + 0.20 = 3.20 miles.

B 4/85 miles equals 0.047 miles which is lesser than one loops distance.

C. 8 9/10 miles equals 8 miles + 9/10 miles = 8 + 0.90 = 8.90 miles

D. 21 1/4 miles equals 21 miles + 1/4 miles = 21 + 0.25 = 21.25 miles.

So the answer is option A.

Answer:

  The area is multiplied by 9.

Step-by-step explanation:

The original square has an area of ...

  A = (4 in)² = 16 in²

The larger square has an area of ...

  A = (3·4 in)² = (3²)(4²) in² = 9·16 in² . . . . . 9 times the original area

The area is multiplied by the square of the scale factor: 9.

Answer:

1655

Step-by-step explanation:

Note the common difference d between consecutive terms of the sequence

d = - 1 - (- 4) = 2 - (- 1) = 5 - 2 = 8 - 5 = 3

This indicates the sequence is arithmetic with sum to n terms

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

Here a₁ = - 4, d = 3 and n = 90, thus

[tex]S_{90}[/tex] = [tex]\frac{90}{2}[/tex] [ (2 × - 4) + (89 × 3) ] = 45(- 8 + 267) = 45 × 259 = 1655

Answer:D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ratio=3:4

so,the pair of adjacent sides are 3x,4x

Pythagorean theorem,

[tex](3x)^{2}+(4x)^{2}=20^{2}\\9x^{2}+16x^{2}=400\\\\25x^{2}=400\\\\x^{2}=\frac{400}{25}\\\\ x^{2}=16\\\\x=\sqrt{16}\\\\x=4\\\\length=4x=4*4=16cm\\\\breadth=3x=3*4=12cm\\\\Perimeter=2*(l+b)\\\\=2*(16+12)=2*28\\\\=56cm[/tex]

Answer:

m<B=m<K=100

m<A=m<J=133

m<L=m<C=41

m<M=m<D=86

Step-by-step explanation:

Since [tex]ABCD\cong JKLM[/tex], the corresponding angles are congruent.

This implies that:

[tex]m\angle A=133=m\angle J[/tex]

m<L=41=m<C

m<M=86=m<D

The sum of angles in a quadrilateral is 360 degrees.

m<B+133+41+86=360

m<B+260=360

m<B=360-260

m<B=m<K=100

Answer:

srry that was my lil bro

Step-by-step explanation:

Answer:

0.

Step-by-step explanation:

Using the laws of logarithms:

log81/8 + 2log2/3 - 3log 3/2 + log 3/4​

= log 81/8 + log (2/3)^2 - log (3/2)^3 + log 3/4

= log 81/8 + log 4/9 - log 27/8 + log 3/4

= log 81/8 + log 4/9 - (log 27/8 - log 3/4)

= log (81/8 *  4/9) - log (27/8 * 4/3)

= log 9/2 - log 9/2

= 0.

Answer:

W= -2

Step-by-step explanation:

Simply the expression: 9(w – 4) – 7w = 5(3w – 2)

First step: 9w -36-7w = 15w-10

Second step: 2w-36=15w-10

Third step:-36+10=15w-2w

Fourth step:-26=13w

Fifth step: w=[tex]\frac{-26}{13}[/tex]

Six step: w=-2

Answer:

-2=w

Step-by-step explanation:

9(w-4) - 7w= 5(3w-2)

9w-36-7w= 15w - 10

2w-36=15w-10

- 2w      -2w

-36=13w-10

+10         +10

-26= 13w

-2=w

Answer:

The whole of a fraction

Answer:

it represents the whole fraction

Step-by-step explanation:

because a fraction is one number, like a decimal but stacked kindA

PLEASE MARK BRAINLIEST IF THIS HELPED

Answer:

A on E2020 (x = -5, x = 2, y = 3)

Step-by-step explanation:

By looking at the equation, we know that the horizontal asymptote can be found by using [tex]y=\frac{a}{b}[/tex], where [tex]a[/tex] and [tex]b[/tex] are the leading coefficients of the variables in the numerator and denominator.

In the equation, [tex]a=3[/tex] and [tex]b=1[/tex]. So, the horizontal asymptote is 3, meaning [tex]y=3[/tex].

To find the vertical asymptotes, we must simplify the denominator by factoring. We will then get [tex](x+5)(x-2)[/tex] in the denominator. So, [tex]x=-5[/tex] and [tex]x=2[/tex].

Therefore, the answer is option A.

Answer:

A Edge 2021

I got 100%

Answer:

[tex]Equation\ of\ line:\ y=\frac{1}{2}x-10[/tex]

Step-by-step explanation:

[tex]Let\ the\ required\ equation\ is\ y=mx+c\\\\where\ m\ is\ the\ slope\ of\ the\ equation\ and\ c\ is\ y-intercept\\\\It\ is\ parallel\ to\ the\ equation\ y=\frac{1}{2}x+3\\\\Hence\ slope\ of\ these\ two\ lines\ will\ be\ same.\\\\Slope\ of\ y=\frac{1}{2}x+3\ is\ \frac{1}{2}\\\\Hence\ slope\ of\ y=mx+c\ is\ \frac{1}{2}\Rightarrow m=\frac{1}{2}\\\\Equation:y=\frac{1}{2}x+c\\\\Line\ passes\ through\ (10,-5).\ Hence\ this\ point\ satisfies\ the\ equation\ of\ line.\\\\-5=\frac{1}{2}\times 10+c[/tex]

[tex]-5=-5+c\\\\c=-10[/tex]

[tex]Equation\ of\ line:\ y=\frac{1}{2}x-10[/tex]

Answer:

Step-by-step explanation:

Just multiply the first equation by -1 and then add them together to find x. Should look something like

-2x - y = -7

5x + y = 9

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

3x + 0 = 2

x = 2/3

Now back substitute using either equation to find y. I'll use the first:

2(2/3) + y = 7

4/3 + y = 7

y = 7 - 4/3 = 21/3 - 4/3 = 17/3

Answer:

x=2/3

y=17/3

Answer:

x=-9/4, y=-27/4. (-9/4, -27/4).

Step-by-step explanation:

y=7x+9

2y+2x=-18

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

simplify 2y+2x=-18 into y+x=-9

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

7x+9+x=-9

8x+9=-9

8x=-9-9

8x=-18

x=-18/8

simplify

x=-9/4

y=7(-9/4)+9=-63/4+9=-27/4

Answer:

[tex]E(p)=51,450p+346,920[/tex]

Step-by-step explanation:

The function

[tex]m(p) = 175p + 1,180[/tex]

gives the mass of the car as a function of the number of passengers in it.

And the function

[tex]E(m) = 9.8m*h[/tex]

gives the potential energy of the car as a function of the car's mass.

Now if the height of the ramp is 30 meters, we have

[tex]E(m) =9.8m*(30)[/tex]

[tex]E(m) =294m[/tex]

And to find the potential energy as a function of the number of passengers, we just substitute [tex]m(p)[/tex] into [tex]E(m)[/tex] to get:

[tex]E(m(p))=294(175p+1180)[/tex]

[tex]\boxed{ E(p)=51,450p+346,920}[/tex]

which gives the potential energy as a function of the number of passengers.

Answer:

its A on edge2021

Step-by-step explanation:

Answer:

A(x1,y1) and B(x2,y2)

Step-by-step explanation:

you take two points your start and your stop and put them into the equations and solve

The width of the rectangle is 9 cm.

The length of the rectangle is 34 cm.

Step-by-step explanation:

step 1 :

Let width of the rectangle be 'x'

The length of the rectangle = 7 + 3x

step 2 :

Perimeter of the rectangle = 2 (length + width)

⇒ 86 = 2 (7 + 3x + x)

⇒ 86 = 2 (7 + 4x)

⇒ 86 = 14 + 8x

⇒ 72 = 8x

x = 72/8

x = 9

∴ The width of the rectangle is 9 cm

step 3 :

The length of the rectangle = 7 + 3x

                                              = 7 + 3(9)

                                              = 7+27 = 34 cm

Answer:

the area of a circle is [tex]\pi[/tex]rsqr

32 x 32 =1024[tex]\pi[/tex]

Step-by-step explanation:

Answer:

A= 1024 x^{2}

Step-by-step explanation:

Answer: 224 students own a school sweatshirt.

Step-by-step explanation:

40% of 560 means 60% do not have one

0.60 is 60% as a decimal

560 x 0.60 = 336 students without a sweatshirt

560 - 336 = 224

Answer:

Step-by-step explanation:

I would be happy to answer them but I do not see the 3 questions.

Answer:

x-6

Step-by-step explanation:

Answer:

x - 30

Step-by-step explanation:

[tex]3(x - 6) + (4x + 12) - 6x \\ 3x - 18 + 4x + 12 - 6x \\ 3x + 4x - 6x - 18 - 12 \\ x - 30[/tex]

Answer:

Step-by-step explanation:

to convert degree to radians multiply with π/180

therefore -15° =-(15 ×π/180) = -π/12

Yo sup??

To convert any given angle into radian, just multiply it with π/180

therefore

-15° =-(15 *π/180)

=-π/12

You can also solve this question by applying unitary method.

Hope this helps.