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3 years ago

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Mathematics

2 answers:

Law Incorporation [45]3 years ago

6 0

False; the ratio of similarity between these triangles is 1/4 because if you multiply 40 by 1/4 you get 10.

postnew [5]3 years ago

6 0

Hey there! :)

2 side lengths are given. The sides are congruent.

Smaller side = 10
Larger side = 40

10 ÷ 40 = 1/4

Answer ⇒ False

Hope this helps :)

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A particle is moving on a straight line in such a way that its velocity v is given by v ( t ) = 2 t + 1 for 0 ≤ t ≤ 5 where t is

Lady_Fox [76]

Answer:

The total distance traveled by the particle is S = 30.

Step-by-step explanation:

Given that velocity,

v(t) = 2t + 1

To find the total distance travel, we integrate the velocity function, v(t), to obtain the distance function s(t), and evaluate the resulting distance at the interval given. That is at t = 0 to t = 5.

Integrating v(t) with respect to t, we have

s(t) = t² + t + C.

At t = 5

s(5) = 5² + 5 + C

= 25 + 5 + C

= 30 + C

At t = 0

S(0) = 0 + 0 + C

= C

The required distance is now

S(5) - S(0)

= 30 + C - C

= 30.

8 0

3 years ago

Read 2 more answers

Hey guys stuck on three questions, can you help out a bit? Thanks!

alexandr1967 [171]

Answer:

Step-by-step explanation:

Because the numbers do not comply with the like 11+6+18+21= no answer and multiplying them all didn't matter either so its none of the above

7 0

3 years ago

Aaron wants to mulch his garden. His garden is x^2+18x+81 ft^2 One bag of mulch covers x^2-81 ft^2 . Divide the expressions and

blsea [12.9K]

Answer:

Step-by-step explanation:

Given

Garden: $x^2+18x+81$

One Bag: $x^2 - 81$

Requires

Determine the number of bags to cover the whole garden

This is calculated as thus;

$Bags = \frac{x^2+18x+81}{x^2 - 81}$

Expand the numerator

$Bags = \frac{x^2+9x+9x+81}{x^2 - 81}$

$Bags = \frac{x(x+9)+9(x+9)}{x^2 - 81}$

$Bags = \frac{(x+9)(x+9)}{x^2 - 81}$

Express 81 as 9²

$Bags = \frac{(x+9)(x+9)}{x^2 - 9\²}$

Evaluate as difference of two squares

$Bags = \frac{(x+9)(x+9)}{(x - 9)(x+9)}$

$Bags = \frac{(x+9)}{(x - 9)}$

Hence, the number of bags is $Bags = \frac{(x+9)}{(x - 9)}$

3 0

3 years ago

(a) What was Jennifer’s gross pay for the year?

alukav5142 [94]

Answer:

Part a: From column 1 of the attached Wage and Tax statement, the gross pay is $34854.

Part b: From column 17 of the attached Wage and Tax statement, she paid $1762.39 in state income tax.

Part c: It should be $2160.95 instead of $2164.44

Part d: It should be $505.38 instead of $467.68

Part e: FICA Tax is $2665.38

Part f: She owes the difference $16.52 to the Federal Tax.

Step-by-step explanation:

As data was missing from the question, the complete question is found online and is attached herewith.

Part a:

From column 1 of the attached Wage and Tax statement, the gross pay is $34854.

Part b:

From column 17 of the attached Wage and Tax statement, she paid $1762.39 in state income tax.

Part c:

For 2012, Social Security Tax is given as 6.2% of the gross pay so

Item 4 should then be

6.2% x Gross Income

6.2% x 34854

.062 * 34854 = 2160.95

It should be $2160.95 instead of $2164.44

Part d

For 2012, Medicare Tax is given as 1.45% of the gross pay so

Item 6 should then be

1.45% x Gross Income

1.45% x 34854

.0145 * 34854 = 505.38

It should be $505.38 instead of $467.68

Part e

FICA tax is given as sum of Social security tax and Medicare taxes. This is given as

FICA Tax=Social Security Tax+Medicare Tax

FICA Tax=$2160+$505.38

FICA Tax=$2665.38

FICA Tax is $2665.38

Part f

From the attached table, with $32104 as the taxable income, as the head of household she owes $4199 in Federal tax.

From the attached wages and tax statement in column 2, she paid $4182.48. Thus she owes the difference $16.52 to the Federal Tax.

5 0

4 years ago

Logarithims pls help

NemiM [27]

The logarithm : $log_{12} (7^{16} )$ ÷ $log_{12} (7^4)$ = 4.

<h3>What is logarithm?</h3>

Logarithm, the exponent or electricity to which a base should be raised to yield a given number.
Expressed mathematically, x is the logarithm of n to the bottom b if b^x = n, wherein case one writes x = log_b n.
Logarithms are described because the answers to exponential equations and so are nearly beneficial in any scenario in which one wishes to remedy such equations (together with locating how lengthy it's going to take for a populace to double or for a financial institution stability to attain a given fee with compound interest).
A logarithm is the electricity to which a number of should be raised so that it will get a few different number.
For example, the bottom ten logarithm of a hundred is 2, due to the fact ten raised to the electricity of is a hundred: log(100) = 2.

To learn more about logarithm from the given link:

brainly.com/question/28346542

#SPJ13

7 0

2 years ago