A circular garden is 20 feet across; a gardener wants to cover it with sod. If each sod piece is two square feet, how much sod will be needed?

Answer:

80°+65°+2x+3x=360°(sum of quadrilateral is 360)

145°+5x=360°

5x=360°-145°

5X=215°

X=215°/5°

X=43°

The required value is [tex]x=43[/tex]

Given angles are,

[tex]80^{\circ}, 65^{\circ}, 2x,3x[/tex]

As we know the sum of all angles in the quadrilateral is [tex]360^{\circ}[/tex].

Then we have the relation,

[tex]80+65+2x+3x=360\\\\145+5x=360\\5x=360-145\\5x=215\\x=43[/tex]

So, the value of the x is 43.

Find out more information about the topic:https://brainly.com/question/8565742

Answer:

permiter 68ft

area 204ft²

Step-by-step explanation:

25ft+26ft+17ft=68ft

1/2×17ft×24ft=204ft²

I hope it's help

[tex]3\sqrt{x^2}[/tex][tex]=3x[/tex]

[tex]\sqrt[3]{x^2}[/tex][tex]=x^\frac{2}3}[/tex]

I do not know which one you mean but still one of them is still your answer. :)

Answer:

y = 7

x = 24

Step-by-step explanation:

When two triangles are similar, the ratio of their corresponding sides are equal

For the bigger triangle we have a total 48; so for the smaller we have x

For the bigger, we have 14, so for the smaller, we have y

Mathematically;

25/x = 50/48

x * 50 = 25 * 48

x = (25 * 48)/50

x = 24

For y;

25/y = 50/14

y = (25 * 14)/50

y = 7

Answer:

Step-by-step explanation:

The slope of a line that passes through two given points: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The equation of the line that passes through given point with a slope of m:  

y - y₁ = m(x - x₁)

Line A:

 [tex]m=\dfrac{-1-5}{3-(-1)}=\dfrac{-6}4=-\dfrac32[/tex]

[tex]y-5=-\frac32(x+1)\\\\y=-\frac32(x+1)+5[/tex]

Line B:

 [tex]m=\dfrac{-1-2}{6-7}=\dfrac{-3}{-1}=3[/tex]

[tex]y-2=3(x-7)\\\\y=3(x-7)+2[/tex]

Point of intersect means the same coordinates x and y.

So:

       [tex]3(x-7)+2=-\frac32(x+1)+5\\\\3x-21+2=-\frac32x-\frac32+5\\\\3x-19=-\frac32x+\frac72\\\\6x-38=3x+7\\\\6x+3x=7+38\\\\9x=45\\\\x=5\\\\y=3(5-7)+2=3(-2)+2=-4[/tex]

Answer:

Frx8txutxitxigxtix7fv7t8citcti

Answer:

(10,6)

Step-by-step explanation:

1. Rearrange

x-y=4

y=x-4

y-8=-2

y=6

2. Graph

Answer:

22.5 cm

Step-by-step explanation:

P=2(6.75)+2(4.5)

P=13.5+9

Answer:

when the dot's go left to right going upwards

Step-by-step explanation:

Answer:

10/10

Step-by-step explanation:

Ez..........................................................

Answer:C Because there the same sides

Answer:

16/100*40

32/2

lol so simple

gg

Answer:

7.5

35.2

1.5

20

Step-by-step explanation:

1. vertical angles are equal

(2x+17)=(4x+2)

15= 2x

x= 7.5

2. adjacent angles equal 180

(2m+8)+(3m-4)= 180

5m+4= 180

5m= 176

m= 35.2

3. (30s+5)=(20s+20)

10s= 15

s=1.5

4. 4p+5p=180

9p=180

p=20

sorry that took so long.  I was babysitting lol

Answer:

9

Step-by-step explanation:

If PQ || to BC

Then by BASIC PROPORTIONALITY THEOREM:

[tex] \frac{8}{40} = \frac{x}{45} \\ \\ \frac{1}{5} = \frac{x}{45} \\ \\ x = \frac{45}{5} \\ \\ x = 9[/tex]

Answer:

8 yards

Step-by-step explanation:

/\

/ \

/ \

----------

/ and \ = 8

_ = 10

Answer:

x=10 , x=13

Steps:

5.

4x+5x=180-90

9x=90

x=90/9

x=10

6.

(3x+7)+(2x+3)=180-105

5x+10=75

5x=65

x=65/5

x=13

Step-by-step explanation:

☯ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T\: I \: O \: N}}}} : [/tex]

✰ [tex] \underline{ \underline{ \large{ \text{For \: Question \: Number \: 5}}}} : [/tex]

[tex] \large{ \tt{90 \degree + 4x \degree + 5x \degree = 180 \degree}}[/tex] [ Sum of angle in a triangle ]

⤑ [tex] \large{ \tt{90 \degree + 9x \degree = 180 \degree}}[/tex]

⤑ [tex] \large{ \tt{9x \degree = 180 \degree - 90 \degree}}[/tex]

⤑ [tex] \large{ \tt{9x \degree = 90 \degree}}[/tex]

⤑ [tex] \large{ \tt{ \frac{9x}{9} = \frac{90}{9} \degree}}[/tex]

⤑ [tex] \boxed{ \large{ \tt{x = 10 \degree}}}[/tex]

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

✰ [tex] \underline{ \underline{ \text{For \: Question \: Number \: 6}}} : [/tex]

[tex] \large{ \tt{75 \degree = 3x \degree + 7 \degree + 2x \degree + 3 \degree}}[/tex] [ Exterior angle is equal to the sum of two non-adjacent interior angles ]

⟶ [tex] \large{ \tt{75 \degree = 5x \degree + 10 \degree}}[/tex]

⟶ [tex] \large{ \tt{5x \degree \: + 10 \degree = 75 \degree}}[/tex]

⟶ [tex] \large{ \tt{5x \degree = 75 \degree - 10 \degree}}[/tex]

⟶ [tex] \large{ \tt{5x \degree = 65 \degree}}[/tex]

⟶ [tex] \large{ \tt{ \frac{5x}{5} = \frac{65}{5} \degree}}[/tex]

⟶ [tex] \boxed{\large{ \tt{x = 13 \degree}}}[/tex]

Hope I helped ! ✧

Have a wonderful day / night ! ♪

Let me know if you have any questions regarding my answer!

[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ♕

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

Yes you are correct

The peak is at 5

Step-by-step explanation:

Answer:

8 percent

Step-by-step explanation:

2.4/30 = 0.08 or 8%

Answer:

7.) c

8.) 5.9

9.) 8.78

10.) 8.778

if im wrong let me know

Step-by-step explanation:

Answer:

They only intersect once. (Correct letter is B)

Step-by-step explanation:

Slope Intercept Form:

2x - 4y = 3

-2x        -2x

________

-4y = -2x + 3

Switch the signs of all of the numerals since you cannot have a negative 'y' value.

4y = 2x - 3

----   ---------

4         4

y= 1/2x - 3/4

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

7y - 5x = 8

    +5x  +5x

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

7y = 5x + 8

----   ---------

7        7

y= 5/7x + 1 1/7

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

After graphing the lines, you then can see that the lines only ever intersect once.

Based on the test scores of the students, Cindy's z-score on the science test is 2.2

We start by calculating the mean of the scores using:

Mean =Sum/Count

So, we have:

Mean = (75 + 80 + 90 + 100 + 75 + 85 + 80 + 80 + 90 + 85)/10

Mean = 84

Using a statistical calculator, the standard deviation is:

Standard deviation = 7.35

The z-score is then calculated using:

z = (x - mean)/standard deviation

Cindy's score is 100.

So, we have:

z = (100 - 84)/7.35

Evaluate

z = 2.2

Hence, Cindy's z-score on the science test is 2.2

Read more about z-scores at:

https://brainly.com/question/25638875

#SPJ2

Answer:

the answer is A

Step-by-step explanation:

78 is acute angle because it is less than 90 degrees. A is an acute angle so thats the answer

Answer:

1 2/3

Step-by-step explanation:

7 1/2x2/9

The required number of tiles will be 34 covering the length of the entryway.

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

We have been given that the tiles are each 2/9 feet long, and the entryway is 7 1/2 feet long.

We have to determine the number of tiles will he need to buy in order to cover the length of the entryway.

According to the given question, the required solution would be as:

So the number of tiles covering the length of the entryway will be

⇒ 7 1/2 ÷ (2/9)

⇒ 15/2 ÷ (2/9)

⇒ 15/2 / (2/9)

Reciprocal the term in the denominator

⇒ (15/2) x (9/2)

Apply the multiplication operation,

⇒ 135/4

Apply the division operation,

⇒ 34

Thus, the required number of tiles will be 34 covering the length of the entryway.

Learn more about Multiplication operations here:

brainly.com/question/25834626

#SPJ5

Answer:

y=2x-5

Step-by-step explanation:

The slope is how you move so you could also call it m

The y intercept is where you begin so you could call it b

So every time you need to find the equation or which one is like the slope just remember m=move b= begin

y=mx+b

Answer:

probably C

Step-by-step explanation:

The question can be written as:

8 * 1.032^n = 140 000, this can be rearranged to

140 000/8 = 17500 = 1.032^n

now we need to find n, we could do this manually with a calculator, but an easier method is to use [tex]\log_x(y)[/tex]

example of log

2^3 = 8

log2 (8) = 3

log1.032 (17500) = 310.17

Answer:

0

Step-by-step explanation:

Answer:

Step-by-step explanation: