Tara standing 20 feet from a tree and the angle of elevation is 72°. About how tall is the tree?

Answer:

b = [tex]\frac{V}{dt}[/tex]

Step-by-step explanation:

Divide both sides by dt, so it cancels out.

[tex]\frac{V}{dt} = \frac{bdt}{dt}[/tex]

[tex]\frac{V}{dt} = b[/tex]

Answer:

cos θ = -5/13

Step-by-step explanation:

when in quadrant II with sin θ = 12/13

The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of cos(0) is 5/13.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite the 90° angle.

Given the value of Sin(0) is (12/13). Therefore, the perpendicular is 12, while the hypotenuse is 13. Therefore, the base will be,

13² = 12² + Base²

Base = 5

The value of Cos(0) will be,

Cos(0) = 5/13

Hence, the value of cos(0) is 5/13.

Learn more about Trigonometric functions:

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Answer:

2x - 5 < 23

2x < 28

x < 14

Step-by-step explanation:

Petra gives Ian the clue below to help him guess a number.When the number (x) is doubled and the product is reduced by five, the final result is less than 23.Which inequality correctly represents this clue?

Answer:

2x - 5 < 23

Step-by-step explanation:

2x - 5 < 23

2x < 28

x < 14

Answer:

63 pounds

Step-by-step explanation:

Given data

Quantity of meat= 18 pounds

TIme taken= 2 hours

Rate= Quantity/Time taken

Rate= 18/2

Rate= 9 pounds per hour

Now time= 7 hours

Rate= 9 pounds per hour

Quantity= Rate*Time

Quantity= 9*7

Quantity= 63 pounds

Answer:

4200

Step-by-step explanation:

Just add them all together

Hope this is the answer you were looking for

Answer:

z = 77

y = 103

Step-by-step explanation:

The angle where 103 and z meet is supplementary, which means it is 180. Since we know one side is 103, we just have to subtract this value from 180 to find the other side, 77.

The total angle measure of a trapezoid is 360. Since we have all the values now except for one, we can simply add them all together: 95 + 77 + 85 = 257. Then, subtract this number, 257, from 360, to get the final angle measure as 103.

Hope this helped.

Answer:

1,850

Step-by-step explanation:

600+.05(25000)=1,850

Answer:

44

Step-by-step explanation:

Split up the one complex shapes into two rectangles. Find the area of each rectangle and add them together.

Answer:

44 square meters

Step-by-step explanation:

split the figure into 2 easy shapes

the first shape 8*4 32

the second shape is 6*2 12

add 32 and 12

44

this is a bad explanation lol

Answer:

Step-by-step explanation:

cot(theta) = cos(theta)/sin(theta)

sec(theta) = 1/ cos(theta)

sin(theta) * (cos(theta) ) / sin(theta) ) * 1/cos(theta)

The sin(theta)s and the cos(theta)s are on opposite sides of the division sign. So you are left with a bunch of ones.

The identity is proved.

Answer:

See below for explanation

Step-by-step explanation:

sinθcotθsecθ

sinθ(cosθ/sinθ)(1/cosθ)

sinθ(cosθ/sinθcosθ)

sinθ(1/sinθ)

sinθ/sinθ

1

Therefore, the identity is proven.

Answer:

I believe it would be 192 milligrams.

Step-by-step explanation:

They said the amount of sodium is equal to the amount of ounces meaning it would be 6ounce:96milligrams. In this case, doubling 6 would be 12, resulting in doubling 96 as well. I'm not 100% sure, this problem contains an unnecessary amount of information for a simple concept.

12 ounces smoothies has 192 milligrams sodium

Given : 6 ounces smoothies have 96 milligrams of sodium

So, per ounce of smoothie consists 96 / 6 = 16 milligrams of sodium

To find : milligrams of sodium in 12 ounces of smoothies

According to sodium per unit smoothie, 12 ounces smoothie consist 12 x 16 = 192 milligrams sodium.

Also : Doubling 6 ounces smoothies to 12 ounces, we get 192 milligrams of sodium by doubling 96 milligrams.

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The circumference of a circle is equal to C=2πr

From the question, we have 615.44.

Assume that pi is equal to 3.14

Substitute and solve for r

615.44= 2(3.14)r

r= 615.44/ 6.28

r=98.4704

r=98

Therefore, the radius is about 98 units.

To check:

C=2πr

C=2 x 3.14 x 98

C=6.28 x98

C=615.44

Answer:

X= -20

Step-by-step explanation:

Answer:

Southern

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

B,E

Step-by-step explanation:

(5,0) (5=x, 0=y)

A is false because y = 0

B is true because x=5

c is false because y = 0

D is false because again y = 0

E is true because 5,0 is on the x axis

- Gage Millar, Algebra 2 tutor

Answer:

a. ΔABC is an isosceles triangle

b. ΔABC is a right triangle

c. The perimeter of ΔABC is approximately 10.8

Step-by-step explanation:

The given vertices of the polygon, are;

A(1, 4), B(4, 5), C(5, 2)

By observation of the differences of the coordinates of the given points, the points are non-linear, as the rate of increase in the y-values, for a given increase in the x-value, is not constant

The length of segments of the triangle ΔABC are found using the formula for finding the distance, 'd', between points given their coordinates, (x₁, y₁), (x₂, y₂), as follows;

[tex]d = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

The length of segment, [tex]\overline {AB}[/tex] = √((5 - 4)² + (4 - 1)²) = √10

The length of segment, [tex]\overline {AC}[/tex] = √((2 - 4)² + (5 - 1)²) = √20

The length of segment, [tex]\overline {BC}[/tex] = √((2 - 5)² + (5 - 4)² = √10

The length of segment, [tex]\overline {AB}[/tex] = The length of segment, [tex]\overline {BC}[/tex], therefore, ΔABC is an isosceles triangle by definition of an isosceles triangle which is a triangle that have two sides of equal length

ΔABC is an isosceles triangle

b. According to Pythagoras' theorem, the sum of the squares of the two shorter sides (the legs) of a right triangle = The square of the length of the longest side

In if triangle ΔABC is a right triangle, we should have;

[tex]\overline {AB}[/tex]² + [tex]\overline {BC}[/tex]² = [tex]\overline {AC}[/tex]²

Checking gives;

(√10)² + (√10)² = 10 + 10 = 20 = (√20)²

Whereby [tex]\overline {AB}[/tex]² (= (√10)²) + [tex]\overline {BC}[/tex]² (= (√10)²) = (√20)² = [tex]\overline {AC}[/tex]², ΔABC is a right triangle

ΔABC is a right triangle

c. The perimeter of ΔABC = The length of segment, [tex]\overline {AB}[/tex] + The length of segment, [tex]\overline {AC}[/tex] + The length of segment, [tex]\overline {BC}[/tex]

∴ The perimeter of ΔABC = √10 + √10 + √20 ≈ 10.7966912753

By rounding off to the nearest tenth, the perimeter of ΔABC ≈ 10.8.

Answer:

The distributive property.

Step-by-step explanation:

Step-by-step explanation:

Consider LHS

[tex] \cos(x) + \sin(x) \tan(x) = \sec(x) [/tex]

Apply quotient identies

[tex] \cos(x) + \sin(x) \times \frac{ \sin(x) }{ \cos(x) } = \sec(x) [/tex]

Multiply the fraction and sine.

[tex] \cos(x) + \frac{ \sin {}^{2} (x) }{ \cos(x) } = \sec(x) [/tex]

Make cos x a fraction with cos x as it denominator.

[tex] \cos(x) \times \cos(x) = \cos {}^{2} (x) [/tex]

so

[tex] \frac{ \cos {}^{2} (x) }{ \cos(x) } + \frac{ \sin {}^{2} (x) }{ \cos(x) } = \sec(x) [/tex]

Pythagorean Identity tells us sin squared and cos squared equals 1 so

[tex] \frac{1}{ \cos(x) } = \sec(x) [/tex]

Apply reciprocal identity.

[tex] \sec(x) = \sec(x) [/tex]

Answer: a=0 hope that helps sorry i don't have time to explain bye !

Step-by-step explanation:

Answer:

Hello! answer: 6

Step-by-step explanation:

2 × 3 = 6 12 - 6 = 6 therefore the answer is 6 hope that helps!

Answer:

6

Step-by-step explanation:

Answer:

0.35

Step-by-step explanation:

j.g susghe yo s9ss9sssisjwus

Answer: D) 385.2

What you give me in the comments 1,540.7......789.4.....1,155.5.....385. I think that was the choice for me to put what kind of answer you want!

Step-by-step explanation: Hope this help :D

Answer:

The number of sunny days this year = 0.75x

where,  x is the sunny days in last years.

Step-by-step explanation:

Given - This year there was 25% fewer sunny days than last year.

To find - What is the number of sunny days this year?

Proof -

Let us assume that,

The total number of sunny days last year = x

Given that,

This year there was 25% fewer sunny days than last year.

i.e this year total sunny days = 100 - 25 = 75 %

So,

we get

If there were x sunny days last year,

Then,

This year Total sunny days = 0.75x

Answer:

Option 3: [tex] - \frac{2}{3} [/tex]

Step-by-step explanation:

[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]

☆ (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate

Using the formula above,

slope

[tex] = \frac{6 - 4}{ - 2 - 1} [/tex]

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

Answer:

C. -2/3

Step-by-step explanation:

The slope formula is (y2-y1)/(x2-x1)

That is (4-6)/(1--2)

So -2/3

Answer:

19

Step-by-step explanation:

1 centimeter is 10 millimeters

190 / 10 = 19

Answer:

⏩12°

Step-by-step explanation:

4x + 7° + 35° = 90° {being complementary angles }

4x + 42° = 90°

4x = 90° - 42°

4x = 48°

x = 48° / 4

x = 12°

Hope it will help :)❤

Step-by-step explanation:

35°+4x+7°=90°

or,42°+4x=90°

or,4x=90°/42°

or,x=2.14/4

or,x=0.53

hope this helps

Answer:

22.5 cm²

Step-by-step explanation:

La fórmula para el volumen de un prisma con una base hexagonal = Área de la base × Altura

De la pregunta anterior

Área de la base =?

Altura = 3 cm

Volumen = 67.5 cm³

Área de la base = Volumen ÷ Altura

Área de la base = 67.5 cm³ ÷ 3cm

= 22.5 cm²

Por lo tanto, el área si es base = 22.5 cm²

Answer:

24

Step-by-step explanation:

41-17=24

First, you should take 30% of the original price, which would be 600. (You should be able to use a standard calculator for this). Next, since the price increases by 30%, just put 600+30% and your answer should be 780.

PS I just tried this problem on my calculator, so I don't know if I did it right, but it makes sense to me. I also searched it up and it also says it's 780, so I'm guessing it's correct. The way I showed you is easier though.

Answer

[tex]surface \ area = 2( lb + bh+hl) = 2(6 + 12 + 8) =2*26 = 52cm^2[/tex]

Answer:

52 cm^2.

Step-by-step explanation:

SA = 2 (2*3 + 3*4 * 2*4)

= 2 * 26

= 52 cm^2.