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katrin2010 [14]
2 years 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.
Mathematics
2 answers:
nirvana33 [79]2 years ago
5 0
Sinα=h/L  where h=height, L=string length...

h=Lsinα  so

h(25°)=50sin25≈21.1ft

h(45°)=50sin45≈35.4ft
Vika [28.1K]2 years ago
4 0

Answer: 14.2 feet.

<3 hope you do well

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Keith_Richards [23]

Answer:

w⁴+5w³+17w²+24w +18

Step-by-step explanation:

Area of a rectangle = length * width

Given

Length  = w²+3w+9

width = w²+2w+2

Area of the rectangle = (w²+3w+9)(w²+2w+2)

Area of the rectangle = w²(w²) + 2w(w²) + 2w² + 3w(w²) + 3w(2w) + 2(3w)+9w²+9(2w)+9(2)

Area of the rectangle = w^4+2w^3+2w²+3w^3+6w^2+6w+9w²+18w+18

Collect the like terms;

Area of the rectangle = w^4+2w^3+3w^3+2w²+6w²+9w²+6w+18w+18

Area of the rectangle = w⁴+5w³+17w²+24w +18

Hence the area of the entire triangle is w⁴+5w³+17w²+24w +18

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2 years ago
Jessie bought 4 balls of wool to knit sweaters for her children, and 5 balls of wool for herself. Then she spent $9.45 on knitti
Ilia_Sergeevich [38]

Step-by-step explanation:

first your going to break down your total then since you have nine balls of yarn you going to take out the 9.45

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Complete the steps for solving 7 = –2x2 + 10x. Factor out of the variable terms. inside the parentheses and on the left side of
Mamont248 [21]

we have

7=-2x^{2} +10x

Factor the leading coefficient

7=-2(x^{2} -5x)

Complete the square. Remember to balance the equation by adding the same constants to each side

7-12.50=-2(x^{2} -5x+2.5^{2})

-5.50=-2(x^{2} -5x+2.5^{2})

Divide both sides by -2

2.75=(x^{2} -5x+2.5^{2})

Rewrite as perfect squares

2.75=(x-2.5)^{2}

Taking the square roots of both sides (square root property of equality)

x-2.5=(+/-)\sqrt{2.75}

Remember that

\sqrt{2.75}=\sqrt{\frac{11}{4}}= \frac{\sqrt{11}}{2}

x-2.5=(+/-)\frac{\sqrt{11}}{2}

x=2.5(+/-)\frac{\sqrt{11}}{2}

x=2.5+\frac{\sqrt{11}}{2}=\frac{5+\sqrt{11}}{2}

x=2.5-\frac{\sqrt{11}}{2}=\frac{5-\sqrt{11}}{2}

<u>the answer is</u>

The solutions are

x=\frac{5+\sqrt{11}}{2}

x=\frac{5-\sqrt{11}}{2}


5 0
2 years ago
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Express the null hypothesis and the alternative hypothesis in symbolic form. The owner of a football team claims that the averag
34kurt

Answer:

H0: μ ≤ 68,800

H1: μ > 68,800

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (H1) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

For the case above;

The Null hypothesis is that the average attendance at games is less than or equal to 68,800.

H0: μ ≤ 68,800

The alternative hypothesis is that the average attendance at games is over 68,800.

H1: μ > 68,800

6 0
2 years ago
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