Charlie is flying a kite one afternoon and steps on the end of the string to have his
hands free to take a picture. The string is 135 feet long and forms a 68-degree angle
with the ground. How high is his kite at this time? Round to the nearest foot, and
enter the number only.

Answer:

∠BEA = ∠CED = 104° (vertical angles)

∠ABE and ∠CBE are complimentary angles, i.e. ∠ABE + ∠CBE = 90°

∠BEA and ∠AED are supplementary angles. 104 + 76 = 180

Step-by-step explanation:

Vertical angles are opposite angles formed by the intersection of two lines. Vertical angles are congruent to each other.

Complementary angles are angle whose sum add up to 90° while supplementary angles are angles whose sum add up to 180°

Two angles are adjacent if they are placed side by side and share the same vertex.

∠BEA = ∠CED = 104° (vertical angles)

∠ABE and ∠CBE are complimentary angles, i.e. ∠ABE + ∠CBE = 90°

∠BEC and ∠CED are not vertical angles

∠BEA and ∠AED are supplementary angles. 104 + 76 = 180

∠BEA and ∠AED are not adjacent angles

Answers: A B D

Step-by-step explanation:

I did the quiz

Answer:

m∠B = 75.5°

Step-by-step explanation:

Since AC = 6, then AB = 6 and BC = 15-6-6 = 3

The altitude from A bisects side BC.  Let the point of intersection of the altitude and BC be point D.  Then BD = 1.5

Cos B = 1.5/6

m∠B = arcccos (1.5/6)

m∠B = 75.5°

Answer:

Eric is correct

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

[tex]1)\ P_1 = 11 + 8 + 5 = 24\ units[/tex]

[tex]2)\ 2x + 4 + y +z = 48[/tex]

[tex]3)\ \frac{48}{24} = 2 => 2x+4 = 2*8[/tex]

[tex]4)\ 2x+4 = 2*8 => 2x + 4 = 16 => 2x = 12 => x = 6[/tex]

Answer:

6

Step-by-step explanation:

[tex] \triangle CDE \sim \triangle FGH[/tex]

[tex] \frac{P(\triangle CDE) }{P(\triangle FGH)} =\frac{CD}{GH} [/tex]

(Area of similar triangle theorem)

[tex] \frac{11+8+5}{48} =\frac{8}{2x +4} [/tex]

[tex] \frac{24}{48} =\frac{8}{2x +4} [/tex]

[tex] \frac{1}{2} =\frac{8}{2x +4} [/tex]

[tex] 2x + 4 = 2\times 8[/tex]

[tex] 2x + 4 =16[/tex]

[tex] 2x =16-4[/tex]

[tex] 2x =12[/tex]

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

[tex] x = 6 [/tex]

Answer:

Explanation:

Volume of a right cylinder = area of the base × height

V = πr² × h

r = d/2

r = 34/2 = 17 m

V = π × 17² × 27

V = 24513.85 m³

Answer:

36 m

Step-by-step explanation:

Pythagorean Theorem:

a² + b² = c²

27 = b

45 = c

So let's solve

a² + 27² = 45²

a² + 729 = 2025

a² = 1296

√1296 = a

= 36

units = m

36 units

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

x < 3 or x < 2

Step-by-step explanation:

|2x-5|<1

Using compound Inequality

(2x - 5) <± 1

Hence,

a) 2x - 5 < -1

2x < -1 + 5

2x < 4

x < 4/2

x < 2

b) 2x - 5 < +1

2x < 1 + 5

2x < 6

x < 6/2

x < 3

Therefore, x < 3 or x < 2

Answer:

D. 118 + s = 764

Step-by-step explanation:

To find the total number of students in all the other grades, if we only know the total number of students in the school and the number of kids in 3rd grade, we need to subtract the kids in 3rd grade from the entire school. This leaves us with 646.

s = 646

Hope it helped!

Answer:

Step-by-step explanation:

The given quadratic must be rewritten in standard form before anything else is done:  -2x^2 + 8x - 8 = 0.  The coefficients of the x terms are {-2, 8, -8}.

The discriminant b^2 - 4ac is therefore (8)^2 - 4(-2)(-8), or  64 -  64, or 0.

A zero discriminant points to two real, equal solutions.

Answer:

35 Miles

Step-by-step explanation:

Mark me brainliest.

210 minus 70 = 140

140 divided by 4 = 35

35 is your answer.

Three statements that always hold true are,

negative + negative = negative.

positive + positive = positive.

negative - positive = negative.

Odd + Odd = Even.

Odd + Even = Even + Odd = )dd.

Even + Even = Even.

Odd × Odd = Even.

Even × Even = Even.

Odd × Even = Even × Odd = Odd.

Odd ÷ Odd = Even.

Even ÷ Odd = Even Or Odd.

Odd ÷ Even = Fraction/Decimal.

The true statement about positive and negative numbers are,

negative + negative = negative.

positive + positive = positive.

negative - positive = negative.

learn more about negative and positive numbers here :

https://brainly.com/question/17865861

#SPJ2

Answer:

g-86=15

g= 15+86=101

e-27=45

e=45+27=72

6f+15+45=180

6f=180-60

6f=120

f=20

d=6f

d=120

Answer:

1/8 + 1/2 = 5/8

Step-by-step explanation:

Total number of beads = 8

Number of green beads = 4

Number of yellow beads = 1

Fraction of green beads :

Number of green / total number of bead = 4 / 8 = 1/2

Fraction of yellow beads :

Number of yellow / total number of bead = 1 / 8

Number of green or yellow bead :

1/8 + 1/2 = (1 + 4) / 8 = 5/8

Answer:

I think its the last one

Step-by-step explanation:

Answer:

106

Step-by-step explanation:

The pattern is +8.  66 is the last number given which is the 5th number. So we need to have five numbers. we can do 8*5=40 and add 40 to 66. Your answer is 106.

Answer:

2880

Step-by-step explanation:

10 x 8 x 6 x 12 = 5760/2 = 2880

Answer:

22x^2+21x+10

brainliest?

Step-by-step explanation:

Answer:

The 4the bubble

Step-by-step explanation:

It is pretty much combining like terms. 22x² is alone since there is no other variable that has an x², so it will be left alone. However, there is 14x and -7x, they both have an x, so that makes them like terms. Combine those and you get 14x minus 7x which is 7x. The number 10 has no other like term to combine with so it can be left alone as well, so just put them all together in the end (simplify). Which would be 22x² + 7x + 10

Answer:

vertex = (3, 1 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is calculate as

x = - [tex]\frac{b}{2a}[/tex]

y = x² - 6x + 10 ← is in standard form

with a = 1, b = - 6 , then

x = - [tex]\frac{-6}{2}[/tex] = 3

Substitute x = 3 into the equation for corresponding y- coordinate

y = 3² - 6(3) + 10 = 9 - 18 + 10 = 1

vertex = (3, 1 )

Answer: Second option (-2.8, -2.6)

Step-by-step explanation:

The solution to both equations would be the intersection of the lines.

Answer:

b

Step-by-step explanation:

Answer:

3 groups will have 5 members with a class leader, but only one will have 6 members and a class leader

Step-by-step explanation:

Volume = 119975.2 meters3

Answer:

B, C, D

Step-by-step explanation:

9x4=36 Yes

12x3=36 Yes

6x6=36 Yes

9x9=81 No

8x4=32 No

Answer:

x = 8

Simplified

3x = 8 + 8/3x

Step-by-step explanation:

4(2/3x + 2) = 3x

8/3x + 8 = 3x

8/3x - 8/3x + 8 = 3x - 8/3x

8 = x

Answer: ( -2, -1

Step-by-step explanation:

Answer:

P = 25.6 feet

Step-by-step explanation:

Given that,

Rectangle A and B have the same Area.

The area of a rectangle is given by :

A = lb

[tex]l_Ab_A=l_Bb_B[/tex]

We have,

[tex]l_A=7\ m, b_A=4\ m, b_B=10\ m[/tex]

So,

[tex]l_B=\dfrac{l_Ab_A}{l_B}\\\\l_B=\dfrac{7\times 4}{10}\\\\l_B=2.8\ m[/tex]

The perimeter of rectangle B,

[tex]P=2(l_B+b_B)\\\\=2(2.8+10)\\\\=25.6\ ft[/tex]

So, the perimeter of rectangle B is equal to 25.6 feet.