Ask question

Ask question

All categories

13 days ago

12

Kari is flying a kite. She releases 50 feet of string. What is the approximate difference in the height of the kite when the str

ing makes a 25o angle with the ground and when the string makes a 45o angle with the ground? Round to the nearest tenth.

You might be interested in

Which classification best represents a triangle with side lengths 6 cm, 10 cm, and 12 cm? acute, because 62 + 102 < 122 acute

lawyer [12517]

The Pythagorean theorem asserts that
the sum of the squares of the two shorter sides (legs) of a right triangle equals the square of the longest side.

A related principle from this theorem is useful to address this issue:
If the total of the squares of the shorter sides of a triangle surpasses the square of the longest side, the angle in question is acute...... (case 1)
On the other hand, if the total of the squares of the shorter sides is less than that of the longest side, the triangle is obtuse......(case 2)

In this case
6^2+10^2 = 36+100=136 <12^2=144
Thus, this is case 2, indicating that the triangle is obtuse.

7 0

3 months ago

Read 2 more answers

Helen drove from the restaurant to the toy store, which

Svet_ta [12734]

Response:

4.3

Detailed explanation:

4.3

6 0

3 months ago

Alma is estimating the proportion of students in her school district who, in the past month, read at least 1 book. From a random

zzz [12365]

Answer:

0.64 ± 0.1117 or

$0.64\pm 1.645*\sqrt{\frac{0.64*(0.36)}{50}}$

Step-by-step explanation:

Sample size (n) = 50

Z-score for a 90% confidence level (z) = 1.645

Proportion of students who read at least one book (p):

$p=\frac{32}{50}=0.64$

The confidence interval is calculated as:

$p\pm z*\sqrt{\frac{p*(1-p)}{n} }$

By applying the provided information:

$0.64\pm 1.645*\sqrt{\frac{0.64*(1-0.64)}{50}}\\ 0.64\pm 0.1117$

The confidence interval results in 0.64 ± 0.1117

5 0

4 months ago

Gabi wants to drive to and from the airport. She finds two companies near her that offer short-term car rental service at differ

Inessa [12570]

Answer:

The cost difference per mile between the two companies is $0.12.

Step-by-step explanation:

Gabi formulates the equation $0.22m+7.20=0.1m+8.40$ to determine after how many miles, denoted as m, the charges of both companies will be equal.

The first company levies $c_1=0.22m+7.20$ for m miles traveled.

The second company's charge for the same m miles is $c_2=0.1m+8.40$ .

In these equations, the figures 7.20 and 8.40 signify the initial fees the companies impose.

The values 0.22 and 0.1 represent the respective costs per mile.

As such, the disparity in per-mile charges amounts to $0.22-0.1=0.12$ .

An alternative method to tackle this problem is by calculating the per-mile rate for each company:

1. Cost per mile for the first company

$c_1(0)=0.22\cdot 0+7.20=7.20\\ \\c_1(1)=0.22\cdot 1+7.20=7.42\\ \\c_1(1)-c_1(0)-7.42-7.20=0.22$

2. Cost per mile for the second company

$c_2(0)=0.1\cdot 0+8.40=8.40\\ \\c_2(1)=0.1\cdot 1+8.40=8.50\\ \\c_2(1)-c_2(0)=8.50-8.40=0.1$

3. The difference:

$0.22-0.1=0.12$

6 0

3 months ago