A light post sits at the end of my driveway. Given that the angle of depression from a squirrel on top
of the light to the start of my driveway is 3 1° and the height of the post is 10.5 feet, how long is my driveway?

Answer:

130

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

130.4

Answer: n=6

Step-by-step explanation:

To solve this proportion, you solve this as you would any proportion. You would have to first cross multiply.

[tex]\frac{1}{5}(15)=\frac{1}{2}n[/tex]

[tex]3=\frac{1}2}n[/tex]                  [multiply both sides by 2]

[tex]n=6[/tex]

Answer:

A. A = (3w - 5) * w

B. 2 feet squared

Explanation:

A. The length is 5 less than 3 times the width. To write the rule for this, you’d subtract 5 from 3 times the width (3w - 5). The area is the length times the width so the rule would be:

A = (3w - 5) * w

——————————

B. Plug in 2 for w using the given rule.

A = (3[2] - 5) * (2)

Distribute

(6 - 5) * 2

Subtract 5 from 6

1 * 2 = 2

The answer is 2 feet squared since this is area.

the answer is 2. see attached for step-by-step instructions. hope that helps!

Answer:

Step-by-step explanation:

subtract 3 from each

8-3≤3-5z-3<12-3

or 5≤-5z<9

divide by 5

5/5 ≤ -5z/5<9/5

or 1≤-z<1.8

multiply by -1

-1 ≥z>-1.8

or -1.8≤z<-1

Answer:

  -1 ≥ z > -1.8

Step-by-step explanation:

Maybe you want to find the solution set.

__

Subtract 3 from the inequality:

  5 ≤ -5z < 9

Divide by -5:

  -1 ≥ z > -1.8

_____

Personally, I like to write these with the inequality symbols pointing to the left. That way, the elements of the expression are in number-line order.

  -1.8 < z ≤ -1

Answer:

ryan  had a head start of 10 meters.

Step-by-step explanation:

Answer:

A) Ryan

B) 10

Step-by-step explanation:

Answer:

D. the last one with dots on -3 and 3

Step-by-step explanation:

-2|x| = -6

divide each side by -2

|x| = 3

x = -3 or 3

Hey there! :)

Answer:

a) 32 sticks.

b) 5n + 2 sticks.

Step-by-step explanation:

Solve this by finding the pattern.

Pattern # 1 = 7 sticks.

Pattern #2 = 12 sticks

Pattern #3 = 17 sticks.

We can see an increase of 5 sticks within each. We can use this to write an equation:

f(n) = 7 + 5(n-1)

***Where n is the term number

You can simplify the equation to become:

f(n) = 7 + 5n - 5

f(n) = 5n + 2.

Use this equation to solve for pattern # 6:

f(6) = 7 + 5(n-1)

f(6) = 7 + 5(5)

f(6) = 7 + 25

f(6) = 32.

Answer:

147.3°

Step-by-step explanation:

Step 1: Find the sum of all interior angles

180(n - 2)

n = 11

180(11 - 2)

180(9)

1620°

Step 2: Find 1 angle

1620/11 = 147.273°

Answer:

144 or 140

Step-by-step explanation:

If you meant round to the nearest ten it would be 140

Answer:

solution,

[tex] {x}^{3} = 64 \\ or \: x = \sqrt[3]{64} \\ or \: x = \sqrt[3]{4 \times 4 \times 4} \\ x = 4[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

x=4

Step-by-step explanation:

x^3=64

it means same number multiply by it self three times to get 64

to find x you need to use cubic root because it is to the power 3

∛x^3=∛64

∛x*x*x=∛4*4*4 or ∛4^3

x= 4

Answer:

[tex]\frac{17}{13}[/tex]

Step-by-step explanation:

Given

tan x = [tex]\frac{5}{12}[/tex] = [tex]\frac{opposite}{adjacent}[/tex]

5 and 12 are the legs of a 5- 12- 13 right triangle with hypotenuse 13, thus

sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{5}{13}[/tex]

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{12}{13}[/tex]

Thus

sin x + cos x = [tex]\frac{5}{13}[/tex] + [tex]\frac{12}{13}[/tex] = [tex]\frac{17}{13}[/tex]

The place value of 2 in 425.3 is tens of 20.

The value a digit in a number represents based on where it is in the number is known as place value. The place value of 7, for instance, is 700 or 7 hundred.

Given digit:

425.3

Write the number as shown below,

425.3 = 400 + 20 + 5 + 0.3

As you can see, the 2 is attached to the tens place,

Therefore, the place value of 2 in 425.3 is tens of 20.

To know more about place value:

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Answer:

1/3

Step-by-step explanation:

y=MX+b

y=-2/9x+1/3

b=y-intercept

Answer:

  no

Step-by-step explanation:

The product of -2 and 1 is -2, which is not less than -2. Blaine's conjecture fails if the positive integer is 1.

Answer:

696 large bags of flour were packed.

Step-by-step explanation:

Let large bags of flour be 'y'

Let small bags of flour be 'x'. That is x=2040 (according to the question)

[tex](3 \times x) + (5 \times y) = 9600[/tex]

[tex](3 \times 2040) + ( 5 \times y) = 9600[/tex]

[tex](6120) + (5 \times x) = 9600[/tex]

[tex](5 \times x) = 9600 - 6120[/tex]

[tex](5 \times x) = 3480[/tex]

[tex]x = 3480 \div 5[/tex]

[tex]x = 696[/tex]

HOPE IT HELPS

#PEACE

Answer:

-65536

Step-by-step explanation:

-1*4^8

Answer:

-65536

Step-by-step explanation:

Answer:

Hey there!

Total marbles= 5+2+3=10

Green marbles= 3

3/10=30%

Hope this helps :)

Answer:

The answer is option A.

∆BDC is a right angled triangle

Angles in a triangle add up to 180°

That's

z + 35 + 90 = 180°

z = 180 - 35 - 90

z = 55°

Alternate angles are equal

Angle DBC = Angle BDA

That's

35 = 7y

Divide both sides by 7

y = 5

y = 5 z = 55

Hope this helps you

Answer:

1) (-1,4)

2) (3,-2)

3) (4,1)

4) (3,0)

Step-by-step explanation:

Half the distance between the different coordinates, ignoring the coordinates that are the same between both points.  (1,0) and (5,0) become (3,0) because 5-1=4 and 4/2 = 2 and 1+2=3.

Hope this helps <3

Answer:

Step-by-step explanation:

Answer:

6 chapters per hour

Step-by-step explanation:

36 chapters divided by 6 hours equals 6 chapters per hour.

Answer:

6

Step-by-step explanation:

36 devide by 6=6

Answer:

salt & vinegar : ready salted : cheese and onion

2                               3                      2

Step-by-step explanation:

salt & vinegar : ready salted : cheese and onion

6                               9                      6

Divide each by 3

salt & vinegar : ready salted : cheese and onion

6 /3                           9/3                      6/3

2                                    3                         2

Answer:

2:3:2

Step-by-step explanation:

Salt and Vinegar:  6

Ready Salted:  9

Cheese and Onion: 6

Put numbers in for the corresponding type:

Salt and Vinegar : Ready Salted : Cheese and Onion

6:9:6

All numbers share a common factor of 3.

Divide all the numbers by 3 to find simplest form.

2:3:2

Step-by-step explanation:

2.(a) uniform speed = distance/ time

= ( 9×16) / 9

= 16 m/s

(b) 19-10 = 9s

(c) 16×9 = 144m

(d) rate of change of speed

= (v-u)/ t

= ( 7-16)/ 6

= -3/2 m/s²

3.(a) uniform speed = distance/ time

= ( 12×20 ) / 12

= 20 m/s

(b) 22-10 = 12s

(c) (12×20) + 1/2(20+60)(18)

= 240+720

= 960m

(d) acceleration

= (v-u)/ t

= ( 60-20 ) / 18

= 20/9 m/² or 2.22 m/s²

Answer:

No more than 8.8 lb

Step-by-step explanation:

21.2 + w ≤ 30

Subtract 21.2 from each side

w ≤ 8.8

Lorrie can add no more than 8.8 lb.

Answer:

no more then 8.8

Step-by-step explanation:

tell me if i am right or wrong plz

Answer:

290 m³

Step-by-step explanation:

Volume of the composite figure can be calculated by using the formula for volume of a rectangular prism to calculate, separately, the volume of the top prism, then volume of the prism beneath, before summing both volumes together.

Volume of rectangular prism = width (w) × height (h) × length (l)

==>The prism on top has:

l = 3m

w = 8-3 = 5m

h = 6m

Volume (V1) = 3*5*6 = 90m³

==>The prism beneath has:

l = 8m

w = 5m

h = 5m

Volume (V2) = 8*5*5 = 200m³

Volume of the composite figure = V1 + V2 = 90+200 = 290 m³

Answer:

√3 * 5 = 5√3 cm

Step-by-step explanation:

→ ABCDEFGH is a cube.

→ CF = Diagonal of cube.

→ CH = Diagonal of Base Face BCDH.

→ Let the side of Each cube = a.

Than,

in Right ∆CFH, By Pythagoras Theoram, we have,

→ CH² + FH² = CF² --------- Equation (1)

and, Similarly, in Right ∆CDH ,

→ CD² + DH² = CH² ------- Equation (2).

Putting Value of Equation (2) in Equation (1), we get,

→ (CD² + DH²) + FH² = CF²

→ a² + a² + a² = CF²

→ CF² = 3a²

→ CF = √3a .

Hence, we can say That Diagonal of a cube is √3 times of its sides.

__________________

Given:-

Side of cube = 5cm.

So,

→ Diagonal of cube = √3 * 5 = 5√3 cm. (Ans.)

Answer:

Option (4)

Step-by-step explanation:

Given table in the picture is,

x              y              1st difference

0            -7                     -  

1             -2               -2 - (-7) = 5

2             3                3 - (-2) = 5

3             8                8 - (3) = 5

4             13               13 - 8 = 5

5             18               18 - 13 = 5

There is a common difference of 5 between every consecutive numbers.

Therefore, this table represents a linear function.

Option (4) will be the answer.

The type of function represented in the table is linear.

Given the table in the picture is,

x              y             1st difference

0            -7                     -  

1             -2               -2 - (-7) = 5

2             3                3 - (-2) = 5

3             8                8 - (3) = 5

4             13               13 - 8 = 5

5             18               18 - 13 = 5

There is a common difference of 5 between every consecutive number.

The term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

Therefore, this table represents a linear function.

Option (4) will be the answer.

To learn more about the linear function visit:

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Answer:

I can't see the answer choices, so I'll do my best to explain.

Step-by-step explanation:

Linear growth is growth where the growth is the same in each step. This means the line is straight, or linear. An example would be y = x or y = 6x +1. As long as there is no exponent on the variable or it is not in the bottom of a fraction, it should be linear.

Answer:

ACD

Step-by-step explanation:

Hey there! :)

Answer:

2nd choice.

Step-by-step explanation:

Given:

630 = 42f.

Divide both sides by 42 to solve for f:

630/42 = 42f/42

f = $15.

This equation is not an inequality, so a line would not be graphed on the number-line. The proper way to show a single solution would be with a point. Therefore:

The second choice is correct. The number line has a single point at f = 15.

Answer: 8x + 6a

Step-by-step explanation: Combine your "x" terms and your "a" terms.

So 3x + 5x is 8x and 2a + 4a is 6a.

So the answer is 8x + 6a.

Answer:

m∠x = 63

m∠y = 45

m∠z = 72

Answer:

m∠x = 63

m∠y = 45

m∠z = 72

Step-by-step explanation:

plato