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madam [21]
3 years ago
5

A kite is flying 20 ft off the ground. Its line is pulled taut and casts a 15 ft - shadow. Find the length of the line. If neces

sary, round your answer to the nearest tenth.
Mathematics
1 answer:
Kryger [21]3 years ago
6 0

Answer:

The answer to your question is 25 ft

Step-by-step explanation:

Data

height = 20 ft

leg = 15 ft

length of the line = ?

To solve this problem use the Pythagorean theorem.

Height = short leg = b

leg = long leg = a

length of the line = hypotenuse = c

- Substitution

         c² = (20)² + (15)²

-Simplification

         c² = 400 + 225

         c² = 625

-Result

         c = \sqrt{625}

         c = 25 ft

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Suppose you want to get a loan for $ 5 , 000 at an interest rate of 5.3 % for 2 years to be paid back in 24 monthly installments
swat32

Answer:

monthly payment =  $56.445

Step-by-step explanation:

given data

loan = $5000

interest rate r = 5.3 % = 0.053

time  t = 2 year = 24 months

solution

we will use here amount of the monthly payments formula that is

monthly payment = principal × \frac{r}{1+(1-r)^{-t}}      ................1

put here value and we get

monthly payment = 5000 × \frac{0.053}{1+(1-0.053)^{-24}}\\

monthly payment =  $56.445

4 0
3 years ago
Pls if u don’t know the answer don’t answer it for points I need real help
PilotLPTM [1.2K]

Answer:

b and c

Step-by-step explanation:

8 0
3 years ago
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Luis bought two pieces of wax to make candles. One piece weighed 3.49 kg, and the other weighed 4.71 kg. If wax costs $1.80 per
EleoNora [17]

(3.49+4.71)1.80=cost

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8 0
3 years ago
Need help with this
stira [4]

Answer: 5,356 is the right asnwer

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6 0
3 years ago
Which of the following is the equation for the graph shown?a. x^2/144+y^2/95=1b. x^2/144-y^2/95=1c. x^2/95+y^2/144=1d. x^2/95-y^
Andrews [41]

e follSOLUTION

Given the question in the image, the following are the solution steps to answer the question

STEP 1: Write the general equation of an ellipse

\frac{\mleft(x-h\mright)^2}{a^2}+\frac{(y-h)^2}{b^2^{}}=1

STEP 2: Identify the parameters

the length of the major axis is 2a

the length of the minor axis is 2b

\begin{gathered} 2a=24,a=\frac{24}{2}=12 \\ 2b=20,b=\frac{20}{2}=10 \end{gathered}

STEP 3: Get the equation of the ellipse

\begin{gathered} By\text{ substitution,} \\ \frac{(x-h)^2}{a^2}+\frac{(y-h)^2}{b^2}=1 \\ \frac{(x-0)^2}{12^2}+\frac{(y-0)^2}{10^2}=1=\frac{x^2}{144}+\frac{y^2}{100}=1 \end{gathered}

STEP 4: Pick the nearest equation from the options,

Hence, the equation of the ellipse in the image is given as:

\frac{x^2}{144}+\frac{y^2}{95}=1

OPTION A

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