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3 years ago

The length of a rectangle is 2 feet less

Mathematics

1 answer:

max2010maxim [7]3 years ago

4 0

The length I think is 15 and the width I think is 19

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What is the congruence method you will use to show that the triangles are congruent?

kozerog [31]

The answer would be SSS or Side-Side-Side.

4 0

2 years ago

Read 2 more answers

Given: sinθ = -3/5, θ is a third quadrant angle, and tan φ = -7/24, φ is a second-quadrant angle; find cos(θ + φ])

Natali [406]

Answer:

First option: cos(θ + φ) = -117/125

Step-by-step explanation:

Recall that cos(θ + φ) = cos(θ)cos(φ) - sin(θ)sin(φ)

If sin(θ) = -3/5 in Quadrant III, then cos(θ) = -4/5.

Since tan(φ) = sin(φ)/cos(φ), then sin(φ) = -7/25 and cos(φ) = 24/25 in Quadrant II.

Therefore:

cos(θ + φ) = cos(θ)cos(φ) - sin(θ)sin(φ)

cos(θ + φ) = (-4/5)(24/25) - (-3/5)(-7/25)

cos(θ + φ) = (-96/125) - (21/125)

cos(θ + φ) = -96/125 - 21/125

cos(θ + φ) = -117/125

8 0

1 year ago

Which polynomial function has a leading coefficient of 1 and roots 21 and 31 with multiplicity 1?

schepotkina [342]

Answer:

Which i think is the first one, there may just be a typing error.

Step-by-step explanation:

A polynomial of order n has the following format:

$f(x) = a(x - x_{0})(x - x_{1})...(x - x_{n-1})$

In which a is the leading coefficient, $x_{0}, x_{1},..., x_{n-1}$ are the roots.

If a root appears m times, they are said to have multiplicity m.

Leading coefficient of 1 and roots 21 and 31 with multiplicity 1

$f(x) = 1(x - 21)(x - 31)$

So the correct answer is:

$f(x) = 1(x - 21)(x - 31)$

Which i think is the first one, there may just be a typing error.

8 0

2 years ago

What is the surface area of this square pyramid

JulsSmile [24]

Answer:

Surface area of square pyramid shown in picture:

A = area of 4 triangles + area of square

= 4 x 4 x 3 x (1/2) + 3 x 3

= 33 (ft)

=> Option 4 (last one) is correct

Hope this helps!

3 0

2 years ago

_2. You have a part-time job 4 days per week, 5 hours per day. How many hours will you work in two weeks?

marta [7]

Answer:

C) 40

Step-by-step explanation:

For every one day your work is 5 hours.

1 day = 5 hours

Set up a proportion so it would be:

$\frac{1 day}{5 hours} = \frac{4 days}{x hours}$

4 days x 5 hours = 20 hours/week

So now you know you know you work 20 hours/week, then multiply by 2 since they're asking how many hours will you work in two weeks:

20 hours x 2 weeks = 40 hours in two weeks

6 0

2 years ago