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2 years ago

1. Determine the variables in the figure below. 20 50

Mathematics

1 answer:

Marina CMI [18]2 years ago

7 0

Answer:

r=8

t=4√29

Step-by-step explanation:

By the altitude leg theorem:

${20}^{2} = 50r$

This implies that:

$r = \frac{20 \times 20}{50}$

We simplify to obtain:

$r = 4 \times 2 = 8$

By the Pythagoras theorem:

${t}^{2} = {20}^{2} + {8}^{2}$

${t}^{2} = 400 + 64$

${t}^{2} = 464$

$t = \sqrt{464}$

$t = 4 \sqrt{29}$

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The value of a new car purchased for $24,950 decreases each year by 12%. How much will the car be worth in 7 years?

arsen [322]

Answers:
After 7 years the car is worth $10,196(,46)

Explanation:
Year 1: $24,950•0,88=21,956
Year 2: $21,956•0,88=19,321(,28)
Year 3: $19,321(,28) •0,88=17,002(,73)
Year 4: $17,002(,73) •0,88=14,962(,40)
Year 5: $14,962(,40) •0,88=13,166(,91)
Year 6: $13,166(,91) •0,88=11,586(,88)
Year 7: $11,586(,88) •0,88=10,196(,46)

5 0

3 years ago

An object is thrown upward from the top of 96-foot building with an initial velocity of 80 feet per second. The height h of the

stiks02 [169]

The function of the object height is an illustration of a projectile motion

The object will never hit the ground

<h3>How to determine when the object hits the ground?</h3>

The function is given as:

h=16t^2+80t+96.

When the object hits the ground, h = 0

So, we have:

16t^2+80t+96 = 0

Divide through by 16

t^2+5t+6 = 0

Expand

t^2 + 3t + 2t + 6 = 0

Factorize

t(t + 3) + 2(t + 3) = 0

Factor out t + 3

(t + 2)(t + 3) = 0

Solve for t

t = -2 or t = -3

The time (t) cannot be negative.

Hence, the object will never hit the ground

Read more about projectile motion at:

brainly.com/question/1130127

5 0

2 years ago

Can someone explain division of polynomials to me please.

kykrilka [37]

Answer: Division of Polynomials is just like the long division that most of us despise but this division is with Variables

Step-by-step explanation:

Example

With whatever equation you have you will

First: set up the division putting the dividend inside the divisor outside and to the left
Second: Ignore everything past the leading terms and just focus on the leading _ of the divisor and the leading _ of the dividend (just like in regular long division.
Thirdly: Take whatever is on top and multiply is by the divisor {What is on the side} carry the result underneath put it exactly below the number from the dividend
Fourth: Multiply the number that is on top by the number that is on the side, carry what is on the side underneath putting it below the other dividend.
Fifth: Do the subtraction
Sixth To subtract change all the signs in the second line, then add down.
Next: Carry down that last term from the dividend
From there you multiply and then add down again and you should be left with the answer....

If this was to many words let me know and I will upload a picture and explain with a real equation.

3 0

2 years ago

If you have 66 data observations in a sample, how many classes (bins) does the sturges' rule recommend for you to construct a fr

Iteru [2.4K]

According to Sturge's rule, number of classes or bins recommended to construct a frequency distribution is k ≈ 7

Sturge's Rule: There are no hard and fast guidelines for the size of a class interval or bin when building a frequency distribution table. However, Sturge's rule offers advice on how many intervals one can make if one is genuinely unable to choose a class width. Sturge's rule advises that the class interval number be for a set of n observations.

Given,

n = 66

We know that,

According to Sturge's rule, the optimal number of class intervals can be determined by using the equation:

$k=1+log_{2} n$

Here, n is equal to 66 and by substituting the value to the equation we get:

$k=1+log_{2} (66)$

k = 7.0444

k ≈ 7

Learn more about Sturge's rule here: brainly.com/question/28184369

#SPJ4

8 0

8 months ago

1.Suppose f(x)=6x^2+2x-7 and g(x)=4x-3.Find the value of f(5)/g(-3)

posledela

Answer:

-10.2

Step-by-step explanation:

f{5} = 6(5^2) + 2(5) - 7

g{-3}= 4(-3)-3

= 6(25) + 10 - 7

-12 - 3

= 150 + 10 - 7

- 15

= 153

-15

= -51

= -10.2

7 0

3 years ago