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lara31 [8.8K]
3 years ago
13

Suzi is 1.7 meters tall. At 2:00 pm, Suzi measures her shadow to be 0.3 meters long. At the same time, a nearby tree casts a sha

dow that is 2.4 meters long. How tall is the tree?
Mathematics
1 answer:
Anarel [89]3 years ago
3 0

Answer:

13.6 meter

Step-by-step explanation:

Given that :

Suzi's height, p1 = 1.7 m

Suzi's shadow, p2 = 0.3 m

Tree shadow, t2 = 2.4 m

Tree height, t1 =?

Using the relation :

p1 / p2 = t1 / t2

1.7 / 0.3 = t1 / 2.4

Cross multiply :

1.7 * 2.4 = 0.3 * t1

4.08 = 0.3t1

t1 = 4.08 / 0.3

t1 = 13.6

Height of the tree is 13.6 m

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Molly wrote a computer program that generates two random numbers between one and 10. When she runs it, what is the probability t
Igoryamba

Answer:

Step-by-step explanation:

The accepted values are  2 3 4 5 6   One is not counted. It says between.            

The total number of ways each dice can be thrown is  2 3 4 5 6 7 8 9 Ten is not counted. Same reason.

5/8 * 5/8 = 25/64 = 0.39

3 0
3 years ago
25 × 13 = __________ twenty-fives. 49 × 11 = __________ elevens.
andreyandreev [35.5K]

Answer:

I hope this helps. I don't quite know what you're looking for.

Step-by-step explanation:

25 x 13 = 325

325 divided by 25

= 13 twenty fifths.

49 x 11 = 539

539 divided by 11

= 49 elevenths

8 0
3 years ago
ANSWER SUPER FAST!! Eric practiced the violin and guitar for 8 hours this week. He practiced the piano for 1/4 of that time. How
EleoNora [17]

Answer:

2 hours

Step-by-step explanation:

one fourth of 8 hours is 2 hours. Divide 8 by 4

5 0
4 years ago
Rate of change of rational functions
densk [106]

Answer:

0.635

Step-by-step explanation:

rate~of~change = \dfrac{f(x_2) - f(x1)}{x_2 - x_1}

rate~of~change = \dfrac{f(x_2) - f(x1)}{x_2 - x_1}

x_1 = 0       x_2 = 0.3

f(x) = \dfrac{-7x^3}{x^4 - 1}

f(x_1) = f(0) = \dfrac{-7(0)^3}{(0)^4 - 1}

f(x_1) = \dfrac{0}{-1} = 0

f(x_2) = f(0.3) = \dfrac{-7(0.3)^3}{(0.3)^4 - 1}

f(x_2) = \dfrac{-0.189}{-0.9919} = 0.190543

rate~of~change = \dfrac{0.190543 - 0}{0.3 - 0} = 0.635

5 0
3 years ago
A taxi company manager is trying to decide whether the use of radial tires instead of regular belted tires improves fuel economy
siniylev [52]

Answer:

Step-by-step explanation:

Corresponding gasoline consumption when radial tires is used and gasoline consumption when regular belted tires is used form matched pairs.

The data for the test are the differences between the gasoline consumption when radial tires is used and gasoline consumption when regular belted tires is used.

μd = the gasoline consumption when radial tires is used minus the gasoline consumption when regular belted tires is used.

For the null hypothesis

H0: μd ≥ 0

For the alternative hypothesis

H1: μd < 0

The resulting p-value was .0152.

Since alpha, 0.05 > than the p value, 0.0152, then we would reject the null hypothesis. Therefore, at 5% significance level, we can conclude that the gasoline consumption when regular belted tires is used is higher than the gasoline consumption when radial tires is used.

7 0
3 years ago
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