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joja [24]
3 years ago
6

The rectangular prism is to be sliced perpendicular to the shaded face and is to pass through point B, parallel to the front fac

e. What will the dimensions of the rectangular cross section be?
Mathematics
1 answer:
kodGreya [7K]3 years ago
4 0

The dimensions of the rectangular cross section will be<u> 10 centimeters by 18 centimeters</u>

<u></u>

Step-by-step explanation:

As ,we know

<u>The rectangular cross section is parallel to the front face</u>

Which clearly states that

The dimensions of the rectangular  cross section is congruent with the dimensions of the front face

Lets assume that  dimensions of the front face are 10 centimeters by 18 centimeters

<u>Then ,The dimensions of the cross section will also be  10 centimeters by 18 centimeters</u>

<u></u>

<u>Hence we can say that the</u> dimensions of the rectangular cross section will be<u> 10 centimeters by 18 centimeters</u>

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Which triangles in the diagram are congruent?
lesya [120]

Answer:

triangle 1 and triangle 3.

Step-by-step explanation:

Given : Four triangle .

To find : Which triangles in the diagram are congruent.

Solution :

By Congruent rule Side angle side : In triangle 1 and triangle 3 are congruent by side angle side .

Therefore, triangle 1 and triangle 3.

7 0
3 years ago
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Which coins have a diameter with 5 in the hundredths place 0.750 0.835 or 0.955
Natalka [10]
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5 0
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If $12000 is invested in an account in which the interest earned is continuously compounded at a rate of 2.5%
vladimir1956 [14]

Complete Question

If $12000 is invested in an account in which the interest earned is continuously compounded at a rate of 2.5% for 3 years

Answer:

$ 12,934.61

Step-by-step explanation:

The formula for Compound Interest Compounded continuously is given as:

A = Pe^rt

A = Amount after t years

r = Interest rate = 2.5%

t = Time after t years = 3

P = Principal = Initial amount invested = $12,000

First, convert R percent to r a decimal

r = R/100

r = 2.5%/100

r = 0.025 per year,

Then, solve our equation for A

A = Pe^rt

A = 12,000 × e^(0.025 × 3)

A = $ 12,934.61

The total amount from compound interest on an original principal of $12,000.00 at a rate of 2.5% per year compounded continuously over 3 years is $ 12,934.61.

7 0
2 years ago
Pls help (kinda easy)
3241004551 [841]

Answer:

f(x)=(2x+1)(2x-1).

Step-by-step explanation:

We want to convert the function into the form that let's us easily find the x-intercept, and it would be for the form (ax+b)(cx+d) because then we can find the x-intercept in the following manner:

(ax+b)(cx+d)=0

x=-b/a

x=-d/c

We factor our function f(x)=4x^2-1 and get

\boxed{f(x)=(2x+1)(2x-1)}

Now this form let's us easily find the x-intercepts:

x=-1/2

x=1/2

and so we pick the second choice: f(x)=(2x+1)(2x-1).

5 0
3 years ago
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Dominic is deciding if he should become a member of his local ice rink. The $144 annual membership fee at the ice rink includes
Alenkasestr [34]

Answer:

1. members = $ 160 , non members = $ 80

2. members = $ 168 , non members = $ 120

Step-by-step explanation:

For members

Annual membership = $ 144

rent per visit charges = $ 4

For Non members

parking charges = $ 5

admission charges = $ 11

rent per visit = $ 4

(1) for 4 visits

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So, non member ship is better.    

(2) for 6 visits

Members pay = $ 144 + 6 x $ 4 = $ 168

Non members pay = 6 x $ 11 + 6 x $ 5 + 6 x $ 4 = $ 120

So, non member ship is better.    

6 0
3 years ago
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