use the image to answer the question.
A landscaper is building a triangular garden behind a house. The lot is bounded on one side by the house
that is 30 ft. long and on another side by a fence that is 50 ft. long. If the fence makes a 25° angle with the
house, how long is the third side of the garden? Round your answer to the nearest foot.

a. 26 ft.
b. 46 ft.
c. 69 ft.
d. 78 ft.

Answer:

a) 12:45 am

b) 7:30 pm

c) 20:15

d) 0:00

Step-by-step explanation:

a) We know that the 24-hour clock has no "am" or "pm" because in a day, there are 24 hours, so "pm" would simply be more than 12 hours.

The 12th hour marks noon, which is "12:00 pm" in 12-hour times. Anything after that would start from 1 and would be marked with a pm.

So 12:45 in 12-hour format would be 12:45 pm because it's passed the noon-mark, which is the 12th hour. Anything after noon would be marked with a "pm."

b) Same thing here: 19:30 has also passed the noon mark, the 12th hour. It would be marked with a "pm."

But there is no "19 'o clock" in 12-hour format (hence the 12-hour 12 hours). So to find that, we know that it has already passed noon. We can subtract to find how many hours it has passed noon:

19 - 12 = 7

So it's the 7th hour.

So it would be 7:30 pm.

c) Because there is no "am" or "pm" in the 24-hour clock, we have to see how many hours past noon it has been.

8:15 pm means it has passed noon by 8 hours and 15 minutes. So we add this to the noon mark (first 12 hours of the day).

12 + 8 = 20

This is our hours. We can attach it to the minutes: 20:15.

d) Midnight in 12-hour terms would be 12:00 am. It would be officially the next day, and it's a reset button.

If it were Saturday today, and it's 11:59 pm, it's still Saturday. But once that clock turns 12:00 pm, it's Sunday.

This means that no time has passed during Sunday yet—it just reset.

So it would be 0:00 because no time has passed officially on Sunday yet.

Answer:

y=13 degrees

Step-by-step explanation:

This is an isosceles triangle, we know this because NO and NM are equal.

In an isosceles triangle, the base angles are congruent. In this case, they are angle NOM and angle NMO.

We also know that the sum of the interior angles of a triangle are equal to 180.

With this information, we can make an equation by gathering all the interior angles:

8y+2(3y-1)=180

Solve for y.

8y+6y-2=180

14y-2=180

14y=182

y=13

Answer:

Step-by-step explanation:

Yes

Answer:

yes because for every pound it is $3

Step-by-step explanation:

i know this because 1 times 3 is 3 and 3 times 3 is 9 and 7 times 3 is 21 and 10 times 3 is 30

Answer:

1

Step-by-step explanation:

The y-intercept in the equation is 1 because the equation uses the format y=mx+b. The b in y=mx+b represents the y-intercept So, in this equation the y-intercept is 1 because b=1.

Answer:

42 square units

Step-by-step explanation:

Each square on the grid is 2 units by 2 units.

Bases: OC = 10; SK = 4

Height: OS = 6

area = (b1 + b2)h/2

area = (10 + 4)(6)/2

area = 42

Answer: 42 square units

Answer:

The area of trapezoid is 42 square unit.

Step-by-step explanation:

According to the question

A trapezoid which is consist of many square shapes and each grid square equals 2 units . We need to find the area of trapezoid.

To calculate the area of trapezoid we have given :-

Finding the area of trapezoid :-

Area of trapezoid = ½ × ( 4 + 10 ) × 6

Area of trapezoid = ½ × 14 × 6

Area of trapezoid = ½ × 84

Area of trapezoid = 42

Hence,

The area of trapezoid is 42 square unit.

Answer:  -7

Step-by-step explanation:

In order to find rate of change, we use two points (0,70) and (3,49).

rate of change = (y2 - y1)/ (x2 - x1)

                         = (49 - 70) / (3 - 0)

                         = -21/3

                         = -7

Answer:

5) No

The actual distance between the drone and the fossil is [tex]32\dfrac{3}{4}[/tex] ft

Step-by-step explanation:

3) A. -2/9

(2/3 - 5/6)/3/4 = (-1/6)/(3/4) = (-1/6) × (4/3) = -2/9

4) d. [tex]0.\overline {90}[/tex]

10/11 = 0.9090909...

∴ 10/11 = [tex]0.\overline {90}[/tex]

5) The height of the drone is flying above the ground = [tex]25\dfrac{1}{2}[/tex] ft.

The location of the fossil below the ground = [tex]7\dfrac{1}{4}[/tex] ft.

Taking the ground level as the origin on a number line, we have;

The location of the drone relative to the ground =  + [tex]25\dfrac{1}{2}[/tex] ft. (The positive sign for a point above the origin)

The location of the fossil relative to the ground = [tex]-7\dfrac{1}{4}[/tex] ft. (The negative sign for a point below the origin)

Therefore;

The distance between the drone and the fossil = The difference between the location of the drone and the fossil

The distance between the drone and the fossil = [tex]25\dfrac{1}{2} - \left(-7\dfrac{1}{4} \right)[/tex]

[tex]25\dfrac{1}{2} - \left(-7\dfrac{1}{4} \right) = 25\dfrac{1}{2} + 7\dfrac{1}{4} = 32\dfrac{3}{4}[/tex]

The distance between the drone and the fossil = [tex]32\dfrac{3}{4}[/tex] ft.

Therefore;

The distance between the drone and the fossil > 32 ft.

Answer:

c.126

Step-by-step explanation:

180-54=126

Answer:

(Disclaimer: all digits in the answers are in the measuring unit degrees)

1) 15

2) 16

3) 46

4) 59.

Step-by-step explanation:

The first one is said to add up to 89, so you have to do 89 subtract 44 and 30 as they are told. That = 15

The second one is a right angle, meaning it adds up to 90. You do 90 - 74 as that is the value told. That = 16

Angles on a straight line = 180 so you have to do 180 - 134 as that is the value told. This = 46

This is 54 as opposing angles on two lines are =. That means this = 59 too.

Answer:

hi sh Sheet sh I monorailg Jericho improve Odom Ybor

Answer: -7

Because if y is -7 then the equation would be 4 - 7 = -3 which is true :)

Answer:

-1/2

Step-by-step explanation:

The point slope form of equation of a line is expressed as;

[tex]y - y_{0} = m(x-x_0)[/tex]

m is the slope

(x₀, y₀) is the point on the line

Given

(x₀, y₀) = (1, 2)

Given the equation 3y = 2x - 4

Rewrite the equation

y = 2/3x - 4/3

mx = 2/3x

m = 2/3

The slope is 2/3

Substitute the slope and the point into the formula above

[tex]y -y_0 =m(x-x_0)\\y - 2 = 2/3(x - 1)\\3(y-2) = 2(x-1)\\3y - 6 = 2x - 2\\Swap\\2x - 2 = 3y - 6\\2x - 3y = -6 + 2\\2x - 3y = -4\\x - 3/2 y = -4/2\\x - 3/2 y= -2[/tex]

Compare the expression to x+(m+2)y=n−5

m + 2 = -3/2

m = -3/2 - 2

m = -7/2

Similarly

n - 5 = -2

n = -2 + 5

n = 3

m + n = -7/2 + 3

m + n = -1/2

hence the sum of m and n is -1/2

Answer:

I think you are I'm not 100%

Answer:

13qt

Step-by-step explanation:

your totally correct.

Answer:I believe D

Step-by-step explanation: Hope you get it right

Answer:

11 and 26

Step-by-step explanation:

x+x-15=37

x+x-15+15=37+15

x+x=52

2x=52

2x÷2=52÷2

x=26

26+26-15=37

37=37

Answer:

A vertical line

Answer:

The next term will be -5.

Step-by-step explanation:

This is actually an AP with a = 11 and common difference d = -4.

Therefore next term will be -1 - 4 = -5

Answer:

Step-by-step explanation:

The numbers in this sequence come by subtracting 4 so

11, 7, 3, - 1, - 5, - 9, - 13

Answer:

m∠R = 123°

m∠S = 91°

Step-by-step explanation:

The measure of an inscribed angle is 1/2 the measure of the intercepted arc

m of arc QRS = 2 m∠P = 2(57) = 114

Now m of arc SPQ = 360 - 114 = 246

So, m∠R = 1/2(246) = 123

m of arc RSP = 2 m∠Q = 2(89) = 178

m of arc PQR = 360 - 178 = 182

m∠S = 1/2(182) = 91

Answer:

i am unsure

Step-by-step explanation:

I HEART POINTS

Answer:

Inequality Form:

h > 6

Interval Notation:

( 6 , ∞ )

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

d. 9

Step-by-step explanation:

i friken used all my attempts guessing on this and got it wrong all times so 9 is the last answer

Answer:

KISS THEY BESTFRIEND AND THEY BOTH WANNA CUDDLE

Step-by-step explanation:

Answer:

expressing how you feel even if it comes off wrong because sometimes we understand this based off of a boys actions for example say he gets an attitude because your talking to everyone except him at a party and he came there with you well you have to understand that it could come off as awkward because he standing around looking lonely because your not admiring his presence when he's there with you and 9 times out of 10 your his girl friend

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

x = 24

Step-by-step explanation:

x = .4(60)

x = 24

40% of 60 can be found by converting 40% to a decimal and multiplying it by 60.

40% = 0.4

60x0.4=2.4

Now move the decimal point right one.

So x is 24.

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hope it helps