18. A tree casts a 76ft shadow when the sun is at a 41° angle of depression. Find the height of the tree.
Round to the tenths place.

Answer:

[tex]KL=45.6[/tex]

Step-by-step explanation:

Property of a Rectangle: Opposite sides are equal.

This means:

[tex]KL = JM \text{ where JM = 45.6}[/tex]

[tex]KL = 45.6[/tex]

Answer:

d) 190,172,154

Step-by-step explanation:

208-18=190

190-18=172

172-18=154

Answer:

X=1, Y=0

Step-by-step explanation:

Solve for X and Y using a2 +b2 = c2

The coordinates of point A is: (-2, 5)

The equation of line L, in slope-intercept form, is: y = 1/2x + 2

In slope-intercept form, the equation of a straight line is given as, y = mx + b, where:

The coordinates of point A is: (-2, 5)

Slope (m) of line L = 2/4 = 1/2.

y-intercept (b) = 2

The equation of line L will be:

y = 1/2x + 2.

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Answer:

1) 1/2or 50%
2) 38/50 or 76%
3) 38/60 or 63%
4) not sure tbh

Step-by-step explanation:

Answer:

(x + 3)^2 + (y - 3)^2 = 5^2

Step-by-step explanation:

They're not really much to show work. Looking at the graph we need to find the origin which is (h  ,k), and the radius.

(h , k) = (-3 , 3)

The radius is r = 5 because counting it from origin to the edge.

Plug that into the formula equation: (x - h)^2 + (y - k)^2 = r^2

(x - (-3))^2 + (y - 3)^2 = 5^2

(x + 3)^2 + (y - 3)^2 = 5^2

Answer:

they are exacly the same

Step-by-step explanation:

I think 7/2 im not definate

Answer:

The answer 7|3+6 is irrational because the sum of a rational number and irrational number is an irrational number.

Answer:

97°

Step-by-step explanation:

Please see attached

Answer:

about 98 dollars to cover the whole room in carpet  

Step-by-step explanation:

The Carpet costs $8.30 per square foot, so 812  ÷ 8.30 = 97 with remainder. Therefore 98 as a rounded total ✅

The number of green watches that were sold is 78

The given parameters are:

The number of watches can be represented as

Gold + Green + Blue + Red = 234

Substitute Blue = Green

Gold + Green + Green + Red = 234

Gold + 2 * Green + Red = 234

Substitute Red = 2 * Gold

Gold + 2 * Green + 2 * Gold = 234

Evaluate the like terms

2 * Green + 3 * Gold = 234

Make Gold the subject in Green = 3* Gold

Gold = Green/3

Substitute Gold = Green/3 in 2 * Green + 3 * Gold = 234

2 * Green + 3 * Green/3 = 234

Evaluate the product

2 * Green + Green = 234

Evaluate the sum

3 * Green = 234

Divide both sides by 3

Green = 78

Hence, The number of green watches that were sold is 78

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Answer:

5 x 5+3/5= 25+3/5=28/5÷8/3

28/5 x8/3= 224/15 =14.93

Answer:

  90°; 55°; 35°; 110°; 70°

Step-by-step explanation:

A rectangle has corner angles that are 90°. When the corner angle is divided into two parts, the total of the parts is 90°.

Each of the triangles is isosceles. The figure is symmetrical about its center.

An exterior angle to a triangle is equal to the sum of the remote interior angles.

__

∠SRT = 90° . . . . a corner angle

∠STR = 55° . . . . symmetrical to the given angle

∠QRS = 180° -55° -90° = 35° . . . . sum of angles in ΔQRS is 180°

∠QPT = 2×55° = 110° . . . . exterior angle to ΔQPS; ∠QSP =∠SQP

∠TPR = 180° -110° = 70° . . . . forms a linear pair with ∠QPT

_____

There are numerous ways to figure any or all of these angles. They come down to the fundamentals: angles in a triangle total 180°; angles that form a line total 180°; corner angles of a rectangle are 90°. Base angles of an isosceles triangle are congruent.

The exterior angle rule derives from the sum of angles in a triangle and on a line both being 180°.

Answer:

Correct answer is B. -3 • 5 = - 15

Answer:

g(-2) = 0

g(4) = -4

Step-by-step explanation:

The outputs of each inequality are the numbers directly next to the parentheses. If an "x" value lies within a particular inequality, the values of the function are the corresponding output.

Remember, the "greater than or equal to" sign (≤) indicates that the "x" value can be equal to the number on the left. The "greater than" symbol (<) indicates that the number to the right cannot satisfy the inequality.

x = -2 lies within the inequality -2 ≤ x < 4. All "x" values that fall within this range are g(x) = 0. Therefore, g(-2) = 0.

x = 4 lies within the inequality 4 ≤ x < 10. All "x" values that fall within this range are g(x) = -4. Therefore, g(4) = -4.

Answer:

Dependent Event

Step-by-step explanation:

Dependent Events: Two events are dependent when the outcome of the first event influences the outcome of the second event. The probability of two dependent events is the product of the probability of X and the probability of Y AFTER X occurs.

The interpretations of the function values are: the cost of buying 0, 10 and 67.5 gallons of paint would be 0, 28.5 and 73.9, respectively

The equation of the function is given as:

f(x) = 9√x

When x = 0, 10 and 67.5, we have:

f(0) = 9√0 = 0

f(10) = 9√10 = 28.5

f(67.5) = 9√67.5 = 73.9

Hence, the interpretations of the function values are:

The cost of buying 0, 10 and 67.5 gallons of paint would be 0, 28.5 and 73.9, respectively

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Answer:

If you are rounding to the nearest tens the smallest number is 45. If you are rounding to the nearest whole number, the smallest number is 49.5

Answer:

49 and 51

Hope it helps

Answer:

133.3 <-- goes on forever

I think the rest are in decimal form.

Answer:

2/9

Step-by-step explanation:

i just took a test with this exact question, and the answer was 2/9

youre welcome future learners ;)

Answer:

Volume of a cone = (1/3) πr³

r = radius = d/2 = 2/2 = 1 ft

Volume = (1/3) * π * 1³

volume = 1.04 cubic ft

The length of the windshield wiper to the nearest inch is 24 inches

The formula for calculating the area of a sector is given as:

A = r²β/2

r is the length of the wiper

β is the subtended angle

Given the following

A = 500.3 square in

β = 98 degrees = 98pi/180 = 49pi/90

Substitute

500.3 =  r²49pi/180
500.3 = 153.86r²/180

153.86r² = 90054
r² = 585.298

r = 24.19

Hence the length of the windshield wiper to the nearest inch is 24 inches

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Answer:

8 cm

Step-by-step explanation:

To find the length of the rectangle's base, form 2 equations using the given information.

Perimeter of rectangle= 2(height +base)

Let the lengths of the height and base of the rectangle be h and b cm respectively.

Perimeter= 80

2(h +b)= 80

h +b= 80 ÷2

h +b= 40 -----(1)

h= 4b -----(2)

Let's solve by substitution!

Substitute (2) into (1):

4b +b= 40

5b= 40

b= 40 ÷5

b= 8

Thus, the length of its base is 8 cm.

Answer:

62°

Step-by-step explanation:

We use the fact that the ratio of the sides of the triangle to the angles opposite them is given by the Law of Sines:

"In any triangle, the ratio of a side length to the sine of its opposite angle

is the same for all three sides"

[tex]\frac{a}{sinA} = \frac{b}{sinb} =\frac{c}{sinC}[/tex]

where A is the is the angle opposite side a, B the angle opposite to side b, C is the angle opposite to side c

For the given triangle we get
44/sin90 = 39/sin?

sin90 is 1 so we get 44/1 = 39/sin?

or cross-multiplying,

sin? = 39/44 = 0.886363..

? = sin⁻¹ (0.886363) = 62.42° ≈ 62° answer

Answer:

? ≈ 62°

Step-by-step explanation:

using the sine ratio in the right triangle

sin? = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{39}{44}[/tex] , then

? = [tex]sin^{-1}[/tex] ( [tex]\frac{39}{44}[/tex] ) ≈ 62° ( to the nearest degree )

9x²+3x-1=0

D=b²-4ac

= 3²-4×9×-1

=9+36

=45

x1= (-b+VD)/2a

= (-3+V45)/2×9

= (-3+3V5)/18

=(-1+V5)/6

x2=(-b-VD)/2a

=(-3-3V5)/18

=(-1-V5)/6

Answer: 26

Step-by-step explanation: the pattern is +2, +3, +4, +5. +6, +7

6+2 = 8

8+3 = 11

11+4 = 15

15+5 = 20

20+6 = 26

26+7 = 33

Answer:

26

Step-by-step explanation:

In this, the addition of numbers is starting from 2 and continue. Such as 6+2=8,then 8+3=11. Similarly the addition of numbers is continuing

Addition:

Increased by, greater than, more than, sum

Subtraction:

Decreased by, decrease, less than, difference

Multiplication:

Times, equal groups, __ times as many, product

Division:

Quotient, divided by, goes into, split equally