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Phoenix [80]
3 years ago
8

Brian's kite is flying above a field at the end of a 68m string.If the angle of elevation to the kite measures 70 degrees,how hi

gh is the kite above Brian's head?

Mathematics
1 answer:
Dvinal [7]3 years ago
4 0

Answer:

h = 63.92\ m

Step-by-step explanation:

Given:

Angle of elevation = 70°

Length of string = 68 m

We need to find the height of the kite.

Solution:

Requirement figure attached in file.

Where:

BC = 68 m

AC = h (Height of the kite)

∠ABC = 70°

Using Cosine rule to find the height of the kite.

AC = BC\times sin(70)

h = 68\times 0.94

h = 63.92\ m

Therefore, height of the kite from Brian's head h = 63.92\ m.

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Bella and Heather put some money into their money boxes every week. The amount of money (y), in dollars, in their money boxes af
Hatshy [7]

Answer:

\boxed{ \text{B. 10 weeks, \$310 }}\\

Step-by-step explanation:

We have two conditions:

\begin{array}{lrcll}(1) & y & = & 25x + 60 & \\(2) & y & = & 30x + 10 & \\ & 25x + 60 & = & 30 x + 10 & \text {Set (1) = (2)} \\ & 50 & = & 5x & \text{Subtracted 25x from each side} \\& x & = & 10 &\text{Divided each side by 5} \\\end{array}\\$ $\\\boxed{ \textbf{The number of weeks is }x = 10}\\

   

    Bella: y = 25x + 60 = 25(10) + 60 = 250 + 60 = 310  

Heather: y = 30x + 10  = 30(10) +  10 = 300 + 10  = 310

7 0
3 years ago
Find the distance between the two points rounding to the nearest tenth (if necessary).
leonid [27]

Answer:

\boxed {\boxed {\sf d\approx 4.2}}

Step-by-step explanation:

The formula for distance is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Where (x₁, y) and (x₂, y₂) are the points.

We are given (-6, 6) and (-3, 3). If we match the value and its corresponding variable, we see that:

  • x₁= -6
  • y₁ = 6
  • x₂ = -3
  • y₂ = 3

Substitute the values into the formula.

d= \sqrt{ (-3 - -6)^2+(3-6)^2

Solve inside the parentheses.

  • -3 --6 = -3+6 = 3
  • 3-6 = -3

d= \sqrt{(3)^2+ (-3)^2

Solve the exponents.

  • (3)²= 3*3= 9
  • (-3)²= -3*-3 =9

d= \sqrt{9+9

Add.

d= \sqrt18

d= 4.24264069

Round to the nearest tenth. The 4 in the hundredth place tells us to leave the 2 in the tenth place.

d \approx 4.2

The distance between the two points is apprximately <u>4.2</u>

4 0
3 years ago
What fraction is equal to 6? 1/6, 6/6, 6/1, 6/10, or 6/60
inna [77]

Answer:

6/10

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the area of this composite figure?
snow_lady [41]

Answer:

D.) 100 feet squared

Step-by-step explanation:

10 X 6=60

10 X 4=40

60+40=100

4 0
3 years ago
Read 2 more answers
2)
RUDIKE [14]

Option B) (x + 3)^2 − 5 is the correct answer

Step-by-step explanation:

Given expression is:

x^2+6x+4

We will solve eah expression in the options to chek which is equivalent to given expression

So,

<u>A) (x + 3)^2 + 5</u>

(x + 3)^2 + 5 = x^2+6x+9+5 \\= x^2+6x+14

NOT equivalent

<u>B) (x + 3)^2 − 5</u>

(x + 3)^2 − 5 = x^2+6x+9-5\\= x^2+6x+4

Equivalent

Hence,

Option B) (x + 3)^2 − 5 is the correct answer

Keywords: Equivalent expressions, polynomials

Learn more about polynomials at:

  • brainly.com/question/2116906
  • brainly.com/question/2131336

#LearnwithBrainly

5 0
4 years ago
Read 2 more answers
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