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antiseptic1488 [7]

3 years ago

5

Four friends participated in a speed-typing contest. Who has the slowest typing speed? Georgie: 320 words in 8 minutes Tara: 403

words in 10 minutes Frank: 474 words in 12 minutes Lupe: 567 words in 14 minutes

1 answer:

dsp733 years ago

4 0

Frank has the lowest typing speed, at only 39.5 words per minute.

Tara has 40.3 wpm
Georgie has 40 wpm
Lupe had 40.5 wpm

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I gotta have this until 3:30pm please help-

Alecsey [184]

Answer:

They are, because similarity means that the ratio of the sides are equal and they are proportionate.

Step-by-step explanation:

If you look at the graph, you can count 2 units from the smaller diamond/rhombus to the other diamond/rhombus. If you count the amount of units on each side, you will find that they are not equal, however they should be proportional if you calculate the angles of 90°.

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3 years ago

if a pool is 20,000 gallons and when the hose is placed in the pool to start filling up there are already 5000 gallons in there.

qaws [65]

Answer:

12 hours

Step-by-step explanation:

4 0

2 years ago

A point P(x,y) is shown on the unit circle corresponding to a real number t. Find the values of the trigonometric functions at t

Ivan

Answer:

sin t = $\frac{3}{5}$

cos t = $-\frac{4}{5}$

tan t = $-\frac{3}{4}$

csc t = $\frac{5}{3}$

sec t = $-\frac{5}{4}$

cot t = $-\frac{4}{3}$

Step-by-step explanation:

In the unit circle:

x-coordinate of a point on the circle represents cosine the angle between the + ve part of x-axis and the terminal side which joins the center of the circle and this point
y-coordinate of a point on the circle represents sine the angle between + ve part of x-axis and the terminal side which joins the center of the circle and this point

In the attached figure

∵ t represents the angle between + ve part of x-axis

and the terminal side drawn from the center of the circle to

point P

∴ The coordinates of point P are (cos t , sin t)

∵ The coordinates of P are ( $-\frac{4}{5}$ , $\frac{3}{5}$ )

∴ sin t = $\frac{3}{5}$

∴ cos t = $-\frac{4}{5}$

∵ tan t = $\frac{sin(t)}{cos(t)}$

- Substitute the values of sin t and cos t

∴ tan t = $\frac{\frac{3}{5}}{-\frac{4}{5}}$

- Multiply up and down by 5 to simplify the fraction

∴ tan t = $-\frac{3}{4}$

∵ csc t = $\frac{1}{sin(t)}$

- Reciprocal the value of sin t

∴ csc t = $\frac{5}{3}$

∵ sec t = $\frac{1}{cos(t)}$

- Reciprocal the value of cos t

∴ sec t = $-\frac{5}{4}$

∵ cot t = $\frac{1}{tan(t)}$

- Reciprocal the value of tan t

∴ cot t = $-\frac{4}{3}$

3 0

4 years ago

find the value of k for which the following system of equations has a unique solutions 1 . kx +2y= 5 , 3x+y=1

lana66690 [7]

Answer:

If you choose any value for k other than 6, that will be give you the one solution.

If k=6, you have no solutions because the lines will be parallel.

Step-by-step explanation:

We are going to put each of this in y=mx+b where m is the slope and b is the y-intercept.

kx+2y=5

Subtract kx on both sides:

2y=-kx+5

Divide both sides by 2:

y=(-k/2)x+(5/2)

The slope is -k/2 and the y-intercept is 5/2

3x+y=1

Subtract 3x on both sides:

y=-3x+1

The slope is -3 and the y-intercept is 1.

We want the system to have one solution so we want the slopes to be difference.

So we don't want (-k/2)=(-3).

Multiply both sides by -2: k=6.

We won't want k to be 6.

3 0

3 years ago

One lunch table can hold 10 students. There are 60 students in 3rd grade. How many lunch tables are needed so that every student

Sladkaya [172]

Answer:

6 lunch tables

Step-by-step explanation:

Since one lunch table can hold 10 students and 60 students are needed to hold,

60 ÷ 10 = 6 lunch tables

5 0

3 years ago

Read 2 more answers