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3 years ago

if traveled a distance of 643 feet how many kilometers did the ball travel? round to the nearest hundredth?

Mathematics

1 answer:

Makovka662 [10]3 years ago

6 0

0.20km is the answer.

Explanation: 1ft = 30.48cm

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X=-6+y.x-3y=28. Iii fcugyvycuc

Leto [7]

Answer:

(-6+y)-3y=28

-2y-6=28

-2y=34

y=-17

Then,

x=-6-17

x=-23

Step-by-step explanation:

8 0

3 years ago

Jake built a skateboard ramp, if the distance of the ramp is 10 ft. The ramp rises a

ikadub [295]

Answer:

Angle made by ramp with ground is ≈ $19.29^{\circ}$

Step-by-step explanation:

Diagram of given scenario is shown below.

Given that,

Horizontal Distance of Skateboard ramp is $10$ ft.

Height of Skateboard ramp is $3.5$ ft.

From figure,

It is forming a Right angle triangle $\triangle ABC$ .

In $\triangle ABC$ , $AB=3.5$ and $BC=10$ .

Clearly see that we need to find measure of angle $\angle C$ .

Using Trigonometric ratio:

$Tan(\theta)= \frac{Perpendicular}{Base}$

So, $Tan(\angle C) = \frac{AB}{BC} =\frac{3.5}{10} =0.35$

Then $\angle C=Tan^{-1} (3.5)=19.290046^{\circ}$

Therefore, Angle made by ramp with ground is ≈ $19.29^{\circ}$

8 0

3 years ago

Find the prime factorization of 30

sattari [20]

Let us start dividing 30 by small prime numbers in increasing order .

the smallest prime number we use is 2

Let's divide 30 by 2 quotient is 15

so we get : 30 = 2* 15

15 is not a prime number , it can be factorized further .

now we start dividing 15

2 can not divide 15 so we move to next prime number that is 3

can 3 divide 15? yes .

we get a quotient 5

so 30 is now : 2* 15 = 2* 3*5

now we have to work on 5 but 5 is a prime number so we stop here .

the prime factorization of 30 is : 2* 3* 5

Answer : 2 *3*5

5 0

3 years ago

Read 2 more answers

A college job placement office collected data about students’ GPAs and the salaries they earned in their first jobs after gradua

frez [133]

Answer:

X is the GPA

Y is the Salary

Standard deviation of X is 0.4

Standard deviation of Y is 8500

E(X)=2.9

E(Y)=47200

We are given that The correlation between the two variables was r = 0.72

a) $y = a+bx$

$b = \frac{\sum(x_i-\bar{x})(y_i-\bar{y})}{\sum(x_i-\bar{x})^2} = \frac{r \times \sqrt{var(X) \times Var(Y)}}{Var(X)} = \frac{0.72 \times \sqrt{0.4^2 \times 8500^2}}{0.4^2} = 15300$

$a=y-bx = 47200-(15300 \times 29) = 2830$

So, slope = 15300

Intercept = 2830

So, equation : $y = 2830+15300x$

b) Your brother just graduated from that college with a GPA of 3.30. He tells you that based on this model the residual for his pay is -$1880. What salary is he earning?

$y = 2830+15300 \times 3.3 = 53320$

Observed salary = Residual + predicted = -1860+53320 = 51440

c)) What proportion of the variation in salaries is explained by variation in GPA?

The proportion of the variation in salaries is explained by variation in GPA = $r^2 = (0.72)^2 =0.5184$

8 0

2 years ago

Ellie ordered boxes of short envelopes and boxes of long

Naily [24]

1200 I hope this helps

8 0

2 years ago