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4 years ago

The figure below shows a rectangle with a diagonal drawn.

Mathematics

1 answer:

Kipish [7]4 years ago

3 0

Answer:

Option B. sin(s) = cos(u)

Step-by-step explanation:

The rest of the question is the attached figure.

Complementary angles - two angles that add to 90 degrees.

The sine of one of them will be equal to the cosine of other angle.

For the attached figure:

The set all complementary angles are:

angle s and angle t
angle u and angle v
angle s and angle u
angle t and angle v

We will check the options:

A. sin(t) = sin(u) ⇒(wrong) because t and u are not complementary angles

B. sin(s) = cos(u) ⇒ (True) ⇒ s and u are complementary angles and sine of one of them will be equal to the cosine of other angle.

C. cos(s) = sin(v) ⇒(wrong) because t and u are not complementary angles

D. cos(t) = cos(v) ⇒(wrong) because t and v are complementary angles but sine of one of them should be equal to the cosine of other angle.

The answer is option B. sin(s) = cos(u)

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What would be the area of a regular polygon with a perimeter of 20 feet and an apothem of 3 feet

Rama09 [41]

$\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap~~ \begin{cases} a=apothem\\ p=perimeter\\[-0.5em] \hrulefill\\ a= 3\\ p=20 \end{cases}\implies A=\cfrac{1}{2}(3)(20)\implies A=30$

7 0

4 years ago

Team D's car went the same distance on each of its trials. Team C's car went exactly 1 cm farther in each trial than Team D's ca

mezya [45]

Answer:

180 cm

Step-by-step explanation:

Number of trials per team = 3

Distance per trial for team D's car is the same for each trial, let distance = x

Distance per trial for team C's car is 1cm farther than team D's distance and the same for each trial, hence, distance = x + 1 per trial

Total distance traveled by C = 543 cm

This means :

(x + 1) + (x + 1) + (x + 1) = 543

3x + 3 = 543

3x = 543 - 3

3x = 540

x = 540 / 3

x = 180

Hence, distance traveled per trial for team D's car = x = 180 cm

8 0

3 years ago

What is the C of a circle that has a radius of 4.5

Jlenok [28]

Step-by-step explanation:

$C = 2\pi \: r \\ = 2 \times 3.14 \times 4.5 \\ = 3.14 \times 9 \\ =28.26 \: units$

5 0

3 years ago

PLEASE HELP IF YOUR GOOD AT ALGEBRA

LUCKY_DIMON [66]

9514 1404 393

Answer:

lower left

Step-by-step explanation:

We notice that the answer choices have only the first equation changed. The equivalent of the first equation must have the same ratios of coefficients.

x-coefficient : y-coefficient : constant

= 2 : 1 : -15 . . . . . in the given equation

2 : -2 : 30 = 1 : -1 : 15 . . . upper left — not the same

-4 : -2 : -15 = 4 : 2 : 15 . . . upper right — not the same

-4 : -2 : 30 = 2 : 1 : -15 . . . lower left — same as the given equation

-4 : 1 : 30 = 4 : -1 : -30 . . . lower right — not the same

5 0

3 years ago

Jasmine's credit card has a $2,000 balance that she carried over from last month. assuming her credit card charges an 18 percent

NikAS [45]

Using simple interest, it is found that her interest charge this month will be of $30.

<h3>Simple Interest</h3>

Simple interest is used when there is a single compounding per time period.

The amount of interest after t years in is modeled by:

I(t) = Prt

In which:

P is the initial amount.

r is the interest rate, as a decimal.

In this problem, considering the time in years, the parameters are:

$P = 2000, r = 0.18, t = \frac{1}{12}$

Hence:

$I(t) = 2000 \times 0.18 \times \frac{1}{12} = 30$

Her interest charge this month will be of $30.

More can be learned about simple interest at brainly.com/question/25296782

4 0

3 years ago