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1 year ago

1,A ladder with nine rungs is to be built, with the bottom rung 24cm. wide and the top rung

Mathematics

1 answer:

Zepler [3.9K]1 year ago

3 0

Answer:

bottom rung 24cm. wide and the top rung

18cm. wide. If the length of the rungs decreases uniformly from bottom to top, how long

should each of the seven intermediate rungs be?

3,Find the first term of the sequence 10, 5, 2.5, 1.25, . . . which is less than 0.0001.

3,In an arithmetic sequence, if the p

th term is q and the q

th term is p, find the (p + q)

th term.

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Giuliana has 22 quarters and dollar coins worth a total of $10.75. Which equation can be used to find d, the number of dollar co

vovangra [49]

Answer:

Option (3). 0.25(22 - d) + d = 10.75

Step-by-step explanation:

Total number of coins Giuliana has = 22

Let the number dollar coins Giuliana has = d

Number of quarters with Giuliana = (22 - d)

Value of dollar coins and quarters = $10.75

So the equation will be,

Number of dollars coins × $1 + Number of quarters × $0.25 = $10.75

d + 0.25 × (22 - d) = 10.75

Therefore, to determine the number of dollars with Giuliana equation will be used,

d + 0.25(22 - d) = 10.75

Option (3) will be the answer.

4 0

2 years ago

Read 2 more answers

francesca wants to give one of her photographs to a friend as a gift. help her choose the photograph and determine the style and

emmainna [20.7K]

It's a photo of a bridge & it's 3x5" (inches)

3 0

2 years ago

During a wind storm, two guy wires supporting a tree are under tension. One guy wire is inclined at an angle of 35 degrees and u

lesya [120]

Resultant Vector: 554 N in the angle 80 degrees with the horizontal.

First, we must put each given in Polar form:
1. 500 N in the angle of 35 degrees with the horizontal
2. 400 N in the angle of 140 degrees with the horizontal in the same direction of the first guy wire (counterclockwise direction)

Then, add up the two polar forms, and it would give 553.59 in the angle of 79.26 with horizontal- counterclockwise direction. As estimated, 554 N in the direction of 80 degrees North of East.

5 0

1 year ago

QUICK! 75 POINTS !!Select all that are part of the solution set of csc(x) > 1 and over 0 ≤ x ≤ 2π.

Vladimir79 [104]

Answer:

$\frac{\pi}{4}$

$\frac{5\pi}{6}$

Step-by-step explanation:

The answer uses the unit circle and that sine and cosecant are reciprocals.

The first choice doesn't even fit the criteria that $x$ is between $0$ and $2\pi$ (inclusive of both endpoints) because of the $x=\frac{-7\pi}{6}$ .

Let's check the second choice.

$\csc(\frac{\pi}{4})=\frac{2}{\sqrt{2}} \text{ since } \sin(\frac{\pi}{4})=\frac{\sqrt{2}}{2}$ .

$\csc(\frac{\pi}{4})>1 \text{ since } \frac{2}{\sqrt{2}}>1$

$\csc(\frac{\pi}{2})=1 \text{ since } \sin(\frac{\pi}{2})=1$ which means $\csc(\frac{\pi}{2})=1$ which is not greater than 1.

So we can eliminate second choice.

Let's look at the third.

$\csc(\frac{5\pi}{6})=2 \text{ since } \sin(\frac{5\pi}{6})=\frac{1}{2}$ which means $\csc(\frac{5\pi}{6})>1$ .

$\csc(\pi)$ isn't defined because $\sin(\pi)=0$ .

So we are eliminating 3rd choice now.

Let's look at the fourth choice.

$\csc(\frac{7\pi}{6})=-2 \text{ since } \sin(\frac{7\pi}{6})=\frac{-1}{2}$ which means $\csc(\frac{7\pi}{6})$ and not greater than 1.

I was looking at the rows as if they were choices.

Let me break up my choices.

So we said $x=-\frac{7\pi}{6}$ doesn't work because it is not included in the inequality $0\le x \le 2\pi$ .

How about $x=0$ ? This leads to $\csc(0)$ which doesn't exist because $\sin(0)=0$ .

So neither of the first two choices on the first row.

Let's look at the second row again.

We said $\frac{\pi}{4}$ worked but not $\frac{\pi}{2}$

Let's look at the choices on the third row.

We said $\frac{5\pi}{6}$ worked but not $x=\pi$

Let's look at at the last choice.

We said it gave something less than 1 so this choice doesn't work.

6 0

1 year ago

Read 2 more answers

25 9 start fraction, 9, divided by, 25, end fraction of Polly's co-workers prefer tea over coffee. What percent of Polly's co-

MrRa [10]

Answer: $36\%$

Step-by-step explanation:

<h3> The complete exercise is: " $\frac{9}{25}$ of Polly's co-workers prefer tea over coffee. 25 What percent of Polly's co-workers prefer tea over coffee".</h3>

In order to solve this exercise, you need to follow the steps shown below:

<em>Step 1:</em> Divide the numerator 9 of the fraction by the denominator 25. Then:

$9\div25=0.36$

<em>Step 2: </em>To calculate the percent of Polly's co-workers that prefer tea over coffee, you must multiply the quotient obtained before (this is $0.36$ ) by 100.

Therefore, you get the following result:

$Percent=(0.36)(100)\\\\Percent=36\%$

Then, you can conclude that 36% of Polly's co-workers prefer tea over coffee.

8 0

1 year ago