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1 year ago

Multiple choice. A square floor mat has a side length of 22 m.

Mathematics

2 answers:

Usimov [2.4K]1 year ago

6 0

Answer:

Step-by-step explanation:

.........................

8_murik_8 [283]1 year ago

6 0

Answer:

Step-by-step explanation:I think the answer might be C. because they have asked for the area and the formulae is side multiply by side.

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What is Five thousand, three hundred one and ninety-six thousandths

dezoksy [38]

Answer:

500030196000

Step-by-step explanation:

Five thousand = 5000

Three hundred one = 301

Ninety-six thousandths = 96000

In numbers:

500030196000

Hope this helps.

8 0

3 years ago

Twenty students from a soccer team want to attend a match. The ticket price is $25 for each student, and the transportation and

azamat

Answer:

525 jerseys

Step-by-step explanation:

you multiply the 25$ and $500 ($25 x 20)+($500 x 20) by the number of students, and then add them together. after that, you multiply it by the $20 ($10,500/$20 = 525) for the jerseys to get 525 jerseys

5 0

2 years ago

2(11r + 7) + 1 = 1/4 (88r+60) show the steps please i need this asap

disa [49]

2(11r + 7) + 1 = 1/4 (88r+60)
22r + 14 + 1 = 22r + 15 ---------------------->distributive property
simplify
22r + 15 = 22r + 15
0 = 0
answer: infinite solutions

3 0

2 years ago

What is the equation of the line graphed below? (3,-1) A. y=1/3x B. y=x C. y=-3x D. y=- 1/3x

Rzqust [24]

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The correct option is A.

<h3>What is the equation of a line?</h3>

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is constant.

The graph of the question is mentioned below.

If we look the function given below then it can be observed that the given graph is linear. Also, the line passes through (0,0) and (3,1).

The slope of the line is,

Slope, m = (1-0)/(3-0) = 1/3

The y-intercept of the line is at the origin. Thus, the equation can be written as,

y = (1/3)x + 0

y = (1/3)x

Hence, the correct option is A.

Learn more about Equation of Line:

brainly.com/question/21511618

#SPJ1

5 0

1 year ago

The equation r(t) = sin(4t)i + cos(4t)j, 0t≥0 describes the motion of a particle moving along the unit circle. Answer the follo

lorasvet [3.4K]

Answer:

a) Particle has a constant speed of 4, b) Velocity and acceleration vector are orthogonal to each other, c) Clockwise, d) False, the particle begin at the point (0,1).

Step-by-step explanation:

a) Let is find first the velocity vector by differentiation:

$\vec v = \frac{dr_{x}}{dt} i + \frac {dr_{y}}{dt} j$

$\vec v = 4\cdot \cos 4t\, i - 4 \cdot \sin 4t \,j$

$\vec v = 4 \cdot (\cos 4t \, i - \sin 4t\,j)$

Where the resultant vector is the product of a unit vector and magnitude of the velocity vector (speed). Velocity vector has a constant speed only if magnitude of unit vector is constant in time. That is:

$\|\vec u \| = 1$

Then,

$\| \vec u \| = \sqrt{\cos^{2} 4t + \sin^{2}4t }$

$\| \vec u \| = \sqrt{1}$

$\|\vec u \| = 1$

Hence, the particle has a constant speed of 4.

b) The acceleration vector is obtained by deriving the velocity vector.

$\vec a = \frac{dv_{x}}{dt} i + \frac {dv_{y}}{dt} j$

$\vec a = 16\cdot (-\sin 4t \,i -\cos 4t \,j)$

Velocity and acceleration are orthogonal to each other only if $\vec v \bullet \vec a = 0$ . Then,

$\vec v \bullet \vec a = 64 \cdot (\cos 4t)\cdot (-\sin 4t) + 64 \cdot (-\sin 4t) \cdot (-\cos 4t)$

$\vec v \bullet \vec a = -64\cdot \sin 4t\cdot \cos 4t + 64 \cdot \sin 4t \cdot \cos 4t$

$\vec v \bullet \vec a = 0$

Which demonstrates the orthogonality between velocity and acceleration vectors.

c) The particle is rotating clockwise as right-hand rule is applied to model vectors in 2 and 3 dimensions, which are associated with positive angles for position vector. That is: $t \geq 0$

And cosine decrease and sine increase inasmuch as t becomes bigger.

d) Let evaluate the vector in $t = 0$ .

$r(0) = \sin (4\cdot 0) \,i + \cos (4\cdot 0)\,j$

$r(0) = 0\,i + 1 \,j$

False, the particle begin at the point (0,1).

7 0

2 years ago