NEED HELP ASAP PLEASE!!!!A symmetrical canyon is 4850 feet deep. A River runs through the canyon at its deepest point. the angle of depression from each side of the canyon to the river is 60. Round to the nearest tenth. Whats the Distance across the canyon? whats the Length of the canyon wall from the edge to the river? Is it more or less than a mile across the canyon?

Answer:

[tex]6[/tex]

[tex]16[/tex]

Step-by-step explanation:

[tex] \frac{x}{12} + \frac{y}{3} = 2[/tex]

[tex] \frac{y}{3 } = 2 - \frac{x}{12} [/tex]

[tex]y = 3( 2 - \frac{x}{12} )[/tex]

[tex]y = 6 - \frac{x}{4} [/tex]

[tex]y = - \frac{x}{4} + 6[/tex]

[tex] {x}^{2} - 8x + c[/tex]

[tex] {x}^{2} + c - 18[/tex]

To find the c value ,

[tex]c = ( \frac{b}{2} {)}^{2} [/tex]

divide the coefficient of x by 2 and square the result.

[tex]( - 1 \times 4 {)}^{2} [/tex]

[tex]( - 4 {)}^{2} [/tex]

[tex]16[/tex]

Answer:

Area = 96 square cm

Step-by-step explanation:

Area of the figure = (2 x Area of triangles) + Area of square

[tex]Area \ of \ triangle = \frac{1}{2} \times base \ height = \frac{1}{2} \times 8\times 4 = 16cm^2\\\\Area \ of \ square = side \times side = 8 \times 8 = 64cm^2[/tex]

Therefore, [tex]Area \ of \ the\ figure = (2 \times 16) + 64 = 32 + 64 = 96cm^2[/tex]

Answer:

0.25 and 25% are equivalent

Step-by-step explanation:

Answer: B & D

Step-by-step explanation:

Answer:

77 dogs

33 cats

Step-by-step explanation:

7+3 = 10

110 ÷ 10 = 11

11 x 7 = 77

11 x 3 = 33

Answer:

24.

Step-by-step explanation:

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

The factors of 120 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Then the greatest common factor is 24.

Answer:

Step-by-step explanation:

A=bh A=7*8 A=56units^2

Answer:

34

Step-by-step explanation:

i think its 34

Given:

In triangle UVW, X is the midpoint of UV and Y is the midpoint of VW.

[tex]m\angle XYV=7x+21[/tex]

[tex]m\angle UWY=91-7x[/tex]

To find:

The measure of angle XYV.

Solution:

Since X is the midpoint of UV and Y is the midpoint of VW, therefore XY is the mid-segment of the triangle UVW and parallel to the base of the triangle, i.e., UW.

If a transversal line intersect two parallel lines, then the corresponding angles are congruent and their measures are equal.

[tex]\angle XYV \cong \angle UWY[/tex]         [Corresponding angle]

[tex]m\angle XYV=m\angle UWY[/tex]

[tex]7x+21=91-7x[/tex]

We need to solve this equation for x.

[tex]7x+7x=91-21[/tex]

[tex]14x=70[/tex]

[tex]x=\dfrac{70}{14}[/tex]

[tex]x=5[/tex]

Now,

[tex]m\angle XYV=7x+21[/tex]

[tex]m\angle XYV=7(5)+21[/tex]

[tex]m\angle XYV=35+21[/tex]

[tex]m\angle XYV=56[/tex]

Therefore, the measure of angle XYV is 56 degrees.

Answer:

17 no for side c

take 37 degree as reference angle

using sine rule

sin 37 =p/h

0.60=6/c

0.60c=6

c=6/0.c0

c=10

for side d

using pythagors theorem

H^2=P^2+B^2

(10)^2=(6)^2+B^2

100=36+B^2

100-36=B^2

64=B^2

[tex]\sqrt{64}[/tex]=B

8=B

Step-by-step explanation:

Answer:

About 13.45 miles ( rounded )

Step-by-step explanation:

You would use the pythagorean theorem to solve this. ([tex]a^{2}[/tex]+ [tex]b^{2}[/tex] = [tex]c^{2}[/tex])

[tex]a^{2}[/tex] would be one length of that triangle, we'll use 9.

[tex]b^{2}[/tex] would be the other length of that triangle, we'll use 10.

So, now you have to square both of them.

[tex]9^{2}[/tex] = 81 ( 9 x 9 )  [tex]10^{2}[/tex] = 100 ( 10 x 10 )

Which you will get 81 and 100. Then you add those two numbers together.

100 + 81 = 181

Now that you have 181, you have to square root 181.

[tex]\sqrt{181}[/tex]

With that you should get 13.45 miles. (rounded)

Answer:

[tex]there \: are \: 8 \: values \\ = \frac{8}{17} \times 100\% \\ = 47\%[/tex]

Answer:

past participle

Step-by-step explanation:

all of the other ones are correct

Answer:

[tex]speed = \frac{Distance}{time}[/tex]

York Canal

Distance = 5miles

Time = 15 minutes

[tex]speed = \frac{5}{15} = \frac{1}{3} miles\ per \ minute[/tex]

Stover Lake

Same speed  , S = 1/3 miles per minute

Time = 30minute

[tex]Distance = speed \times time = \frac{1}{3}\times 30 = 10 miles[/tex]

[tex]Distance_{York} = 5 miles\\\\Distance_{Stover} = 10 miles\\\\[/tex]

Clearly, Distance travelled in York in half the distance travelled in Stover

option. 3

Answer:

11/15

Step-by-step explanation:

P('Y' or 'R') = 5/15 + 6/15 which is 11/15

Answer:

A

Step-by-step explanation:

theres 3 ( x³, -3x, 3)

Answer:

A) x² - 3x + 3

Step-by-step explanation:

A trinomial is an algebraic expression consisting of three terms, which usually include a quadratic variable, a coefficient multiplied by a variable, and an integer.

In other words, a trinomial is a polynomial consisting of three monomials.

Answer:

[tex]f = \frac{720}{11}[/tex]

Step-by-step explanation:

Given

[tex]f\ \alpha\ \frac{\sqrt T}{L}[/tex] --- The variation

[tex]f = 60; T = 121; L = 12[/tex]

Required

Find f, when T =81; L = 9

We have:

[tex]f\ \alpha\ \frac{\sqrt T}{L}[/tex]

Express as equation

[tex]f = k\frac{\sqrt T}{L}[/tex]

Make k the subject

[tex]k = \frac{fL}{\sqrt T}[/tex]

When [tex]f = 60; T = 121; L = 12[/tex]

[tex]k = \frac{60 * 12}{\sqrt {121}}[/tex]

[tex]k = \frac{60 * 12}{11}[/tex]

[tex]k = \frac{720}{11}[/tex]

To solve for f, when T =81; L = 9

We have:

[tex]f = k\frac{\sqrt T}{L}[/tex]

[tex]f = \frac{720}{11} * \frac{\sqrt{81}}{9}[/tex]

[tex]f = \frac{720}{11} * \frac{9}{9}[/tex]

[tex]f = \frac{720}{11} * 1[/tex]

[tex]f = \frac{720}{11}[/tex]

Answer:

I believe it would be B. SAS

Step-by-step explanation:

You have two sides and one angle that are congruent in both

Answer:

let first equation be  y=x^2-14x+23

second equation be y=-3x+5

now substitute the vale of y in equation second

y=-3x+5

x^2-14x+23=-3x+5

x^2-14x+3x=5-23

x^2-11x=-18

x^2-11x+18=0

x^2-(9+2)x+18=0

x^2-9x-2x+18=0

x(x-9)-2(x-9)=0

(x-2)(x-9)=0

either x-2=0                                        Or, x-9=0

x-2=0

x=0+2

x=2

x-9=0

x=0+9

x=9

therefore x=2,9

Step-by-step explanation:

-

Answer:

(2, - 1 ) and (9, - 22 )

Step-by-step explanation:

Given the 2 equations

y = x² - 14x + 23 → (1)

y = - 3x + 5 → (2)

Substitute y = x² - 14x + 23 into (2)

x² - 14x + 23 = - 3x + 5 ( subtract - 3x + 5 from both sides )

x² - 11x + 18 = 0 ← in standard form

(x - 2)(x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 9 = 0 ⇒ x = 9

Substitute these values into (2) for corresponding values of y

x = 2 : y = - 3(2) + 5 = - 6 + 5 = - 1 ⇒ (2, - 1 )

x = 9 : y = - 3(9) + 5 = - 27 + 5 = - 22 ⇒ (9, - 22 )

Answer:

3/10

Step-by-step explanation:

From the question, we have the total number of sampled students as 30

9 students said 7 was their favorite

So the experimental probability that we have 7 picked as the favorite number will be the number of respondents who chose 7 as their favorite divided by the total number of respondents

We have this as;

9/30 = 3/10

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

copy the above onto your computer for future reference

sin(g) = 420/427

tan(z) = 77/420

cos(z) = 420/427

sin(m) = 427/427

part (E)   the sin of any right angle will be  1   :)

Answer:

Solution given:

Sin G=opposite/hypotenuse=420/427

TanZ=Opposite/adjacent=77/420

CosZ=adjacent/hypotenuse=420/427

Sin M=opposite/hypotenuse=427/427=1

Answer:

y=-5x-9

Step-by-step explanation:

Answer:

3x + 10y

Step-by-step explanation:

Calculate: (6x*3)+(3y*2)-(5x*3)+(2y*2) = 18x + 6y - 15x + 4y

Collect Like Terms: 18x + 6y - 15x + 4y = 3x +10y

Solution: 3x + 10y

Answer:

1

Step-by-step explanation:

2m + 4 = 6

2m = 6 - 4

2m = 2

m = 1

the answer is one.. ....

Decimal form is 3.96811878

Answer:

5.8

Step-by-step explanation:

Answer:

[tex]13194.7\ mm^2[/tex]

Step-by-step explanation:

The total surface area of a cone is given by:

Surface area = [tex]\pi r(r+\sqrt{h^2+r^2} )[/tex]

where r is the radius of the cone, h is the height of the cone, l is the length of the cone = [tex]\sqrt{h^2+r^2}[/tex]

Given that h = 136 mm, r = 60 mm /2 = 30 mm, l = 140 mm. Also the top of the cone is not included in the surface area, hence the surface area becomes:

[tex]Surface \ area=\pi r(\sqrt{h^2+r^2} )=\pi rl\\\\Surface \ area=\pi (30\ mm)(140\ mm)=13194.7\ mm^2[/tex]