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Answer:

a

Step-by-step explanation:

b

The equation can be solved to find the height of the lamppost 'h' is

D. tan52° = h/18

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

From the given information we have a reference angle of 52° opposite to it is the height(h) of the pole and a shadow which is the adjacent side is 18 feet.

We know, tan = opposite/adjacent.

Therefore, tan52° = h.18.

learn more about trig ratios here :

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Answer:

Look below.

Step-by-step explanation:

1. 3000

2. 5000

3. 6000

4. 7000

Starting from left to right.

Answer:

yess it is by the benefactor

Step-by-step explanation:

Answer:

77 ft.

Step-by-step explanation:

7*8+7*3=77

Answer:

[tex]x = 0 \: \text{or} \: x = - 4.[/tex]

Step-by-step explanation:

[tex]6 {x}^{2} + 24x = 0 \\ \text{then} \: 6x(x + 4) = 0 \\ \text{hence} \: x = 0 \: \text{or} \: x + 4 = 0 \\\text{therefore} \: x = 0 \: \text{or} \: x = - 4.[/tex]

Answer:

F'

Your answer is correct

Step-by-step explanation:

The image most of the time we will put ' prime on it to let the other know that this is the image

Answer:

d) Acute

Step-by-step explanation:

if all three angle measures are less than 90 degrees, the triangle is acute

Answer:

8:12

Step-by-step explanation:

you have 20 music downloads and you already told me that eight are country so you use 20 to minus eight and you get the number of hip-hop then you do the ratio which is 20 minus 8 is 12 ratio from country to hip hop is 8:12

Answer:

, hope u understand and happy

Answer:

Oral traditions are things that have been passed down from generations, such as folktales, pieces of art, stories, and more

Step-by-step explanation:

3/4m(4m+16n) + m/n open the bracket of equation,

3/4m(4m+16n) + m/n = 3+ 12n/m + m/n

now multiply and devide by mn on RHS,

3/4m(4m+16n) + m/n = (3mn+12n²+m²)/mn

Answer:

x = 21

Step-by-step explanation:

For a pentagon, n = 5.

Each angle measures:

(n - 2)180/5 = (5 - 2)(180)/5 = 108

5x + 3 = 108

5x = 105

x = 21

Answer:

B. x = 2

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

check by substituting each given value of x into the function

x = 0 ⇒ y =  × 0² = 0

hence (0, 0) is correct

x = 2 ⇒ y =  × 4 = 3

hence (2, 4 ) is incorrect

x = 3 ⇒ y =  × 9 = 6  

hence (3, 6 ) is correct

x = 5 ⇒ y =  × 25 = 18  

hence (5, 18 ) is correct

Answer:

[tex]31\:\text{square units}[/tex]

Step-by-step explanation:

We can break the composite figure into two triangles and two trapezoids. The area of a triangle is given by [tex]A=\frac{1}{2}bh[/tex] and the area of a trapezoid is given by [tex]A=\frac{b_1+b_2}{2}\cdot h[/tex] (average of the bases multiplied by the height).

Area of first triangle (larger triangle to the figure's left): [tex]\frac{1}{2}\cdot 4\cdot 4=8[/tex]

Area of second triangle (smaller triangle to the figure's right ): [tex]\frac{1}{2}\cdot 2\cdot 5=5[/tex]

Area of first trapezoid (smaller trapezoid directly underneath second triangle and adjacent to both triangles): [tex]4\cdot 2 =8[/tex]

Area of first triangle (larger triangle to the figure's left): [tex]5\cdot 2=10[/tex]

Thus, the area of the entire figure is:

[tex]8+5+8+10=\boxed{31\:\mathrm{units^2}}[/tex]

Answer:

true.

Step-by-step explanation:

hope this helps, i looked it up :)

Answer:

x+x-20 = 180-90

2x-20 = 90

2x. =90+20

2x. =110

x. =55

y+55. =90

y. =90-55

y. =35

Answer:

27.5cm^2

Step-by-step explanation:

you can cut the triangle to make two right triangles

so 11 is the height and the width is 2.5 since your cutting the triangle in half

so 11x2.5=27.5 since its a right triangle you have to divide by two 27.5/2=13.75

that's the answer for one of the triangles now multiply it by two since you need the two right triangle to make the other triangle so the answer is 27.5

Answer:

187.5 ft²

Step-by-step explanation:

15 x 15 = 225

1/2(5 x 15) = 37.5

225 - 37.5 = 187.5

Answer:

the area is 187.5

Step-by-step explanation:

First we must split this figure into two, now we have a triangle on top of a rectangle (we know this is a rectangle because the length is longer than the width)

to find the area of a rectangle we must use the equation l*w=A so

15*10=150

Now that we have the area of the rectangle we must find the area of the triangle

We can see one side is longer, this shows us that the triangle is 5 units tall and 15 units long

the formula to find the area of a right triangle is ab/2=A

5*15/2=A

75/2=A

37.5=A

now we have both areas we add them together

37.5+150=187.5

187.5 is your answer

Answer:

45

Step-by-step explanation:

6a 6b

2 : 3

30 : x

30×3

2

=45

126 yards

Step-by-step explanation:

Nine times fourteen is one hundred and twenty six

Answer:

[tex]A=107 square\ unit[/tex]

Step-by-step explanation:

From the question we are told that:

 [tex]\angle MNP= 48m[/tex]

 [tex]\angle MN=16 unit[/tex]

Generally the equation for Area of a sector A is mathematically given by

 [tex]A=\frac{\theta}{360}*\pi*r^2[/tex]

 [tex]A=\frac{48}{360}*3.14*16^2[/tex]

 [tex]A=107.18 square\ unit[/tex]

 [tex]A=107 square\ unit[/tex]

Answer:

10.4

Step-by-step explanation:

Area of sector=central angle/360(area)

=46/360(π5^2)

=10.04

Selling price = 8600 + Profit

Selling price = 8600 + ( 8600 × 20/100 )

Selling price = 8600 + ( 86 × 20 )

Selling price = 8600 + 1720

Selling price = Rs 10,320

Answer:

i, 1.875 ft

ii. Since the volume of water is the same when resting on either the smallest or largest face, we we equate the expression for their volume and solve for the depth of water when the closed rectangular box is resting on its largest face.

Step-by-step explanation:

i. How deep will the water be if the box is resting on its largest face?

Since the smallest face is 5 feet by 3 feet (since they are the smallest dimensions), the volume of the 5 feet deep water is V = Ah where A = area of smallest face and h = depth of water.

V = Ah = 5 ft × 3 ft × 5 ft = 75 ft³

This is also the volume of the water when it is resting on its largest face.

Since the dimensions of the largest face are 8 feet by 5 feet (since they are the largest dimensions), then V = A'h' where A' = area of largest face and h' = depth of water when rectangular box is resting on its largest face

So, h' = V/A'

= 75 ft³/ (8 ft × 5 ft)

= 15/8 ft

= 1.875 ft

ii, Explain your reasoning.

Since the volume of the water in the closed rectangular box is always the same, which ever side we turn it to, its volume V = area of face × height. If we write this expression for both the smallest and largest face and equate them, we solve for the depth of the water when it is resting on its largest face, since, we already know the depth of water when it is resting on its smallest face.

[tex]5x + 3y = 25 \\ 5x = 25 - 3y \\ x = \frac{25 - 3y}{5} \\ x = \frac{25}{5} - \frac{3y}{5} \\ x = 5 - \frac{3y}{5} \\ 3x + 4y = 26 \\ 3 (5 - \frac{3y}{5} ) + 4y = 26 \\ 15 + \frac{11y}{5} = 26 \\ \frac{11y}{5} = 26 - 15 \\ \frac{11y}{5} = 11 \\ \frac{5}{11} \times \frac{11y}{5} = 11 \times \frac{5}{11} \\ y = 5 \\ x = 5 - \frac{3y}{5} \\ x = 5 - \frac{3(5)}{5} \\ x = 2[/tex]

(x,y)—> (2,5)

Step-by-step explanation:

TPC and DPC are supplementary angles so

DPC=180-123=57°

Answer:

m arc BDT = 270°

Step-by-step explanation:

m arc BDT = 360° -90° = 270°

________________

Answer:

Step-by-step explanation:

www.564bdyjkthl

Answer:

Step-by-step explanation:

take 45 degree as reference angle

using sin rule

sin 45 =opposite /hypotenuse

1/[tex]\sqrt{2}[/tex]=24/k(do cross multiplication)

24[tex]\sqrt{2}[/tex]=k

Answer:

12.5 inches is the correct answer.

Step-by-step explanation:

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