When the value of t is 60, the value of c is 90 . Explain what this means using the problem context.

Little help!!!!!

Answer:

The length of the line segment is 10 units.

Step-by-step explanation:

Let us call the given two points: (x₁, y₁) = (2, -3) and (x₂, y₂) = (8, 5).

The distance between two points, d = [tex]$ \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} } $[/tex]

Here, [tex]$ (x_1, y_1) = (2, -3) $[/tex] and

[tex]$ (x_2, y_2) = (8, 5) $[/tex]

Therefore, distance, d = [tex]$ \sqrt{(8 - 2)^2 + (5 - (-3))^2 $[/tex]

[tex]$ = \sqrt{6^2 + 8^2} $[/tex]

[tex]$ = \sqrt{36 + 64} $[/tex]

[tex]$ = \sqrt{100} $[/tex]

= 10 units.

Hence, the answer.

Answer:

D (2,-2)

Step-by-step explanation:

Answer:

The simplified fraction form of 15% is 320

Step-by-step explanation:

x + 2x + 3x = 180°

6x = 180°

Therefore, x = 30°

2 x = 60°

3x = 90°

Hence, it is a right angled triangle.

Answer:

The triangle is right

Step-by-step explanation:

x+2x+3x=180

6x=180

x=30

30-60-90

The largest angle is 90 degrees which means that the triangle is right. (def of right triangle)

The correct answer is [tex]$\sqrt{3}$[/tex]. Hence the correct option is d.

To find the value of [tex]$\tan 60^\circ$[/tex] using the unit circle, follow these steps:

Draw the unit circle, which is a circle with a radius of 1 unit centered at the origin (0,0) on the Cartesian coordinate plane.

Identify the point on the unit circle corresponding to [tex]$60^\circ$[/tex]. This point is located in the first quadrant and makes an angle of [tex]$60^\circ$[/tex]with the positive x-axis.

Since the unit circle has a radius of 1, the coordinates of the point corresponding to 60 are:

[tex]$x$-coordinate: $\cos(60^\circ) = \frac{1}{2}$\\$y$-coordinate: $\sin(60^\circ) = \frac{\sqrt{3}}{2}$[/tex]

Now, we'll use the definition of tangent to find [tex]$\tan(60^\circ)$[/tex]:

[tex]$\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}$\\Substitute the values of $\sin(60^\circ)$ and $\cos(60^\circ)$ into the formula:$\tan(60^\circ) = \frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}$[/tex]

Simplify the expression:

[tex]$\tan(60^\circ) = \left(\frac{\sqrt{3}}{2}\right) \cdot \left(\frac{2}{1}\right)$$\tan(60^\circ) = \sqrt{3}$[/tex]

So, the correct answer is [tex]$\sqrt{3}$[/tex]. Hence the correct option is d.

Complete question:

Use the unit circle to find tan 60°.

a. square root 3/3

c. 2 square root 3/3

b. square root 3/2

d. square root 3

Answer:

7900/100*80 = 6320

Step-by-step explanation:

In a crowd of 7,900, there are 1,580 children, representing 20% of the total population.

To find out how many children are in a crowd of 7,900 when the proportion is 20%, you can use the following steps:

1. Calculate the proportion (20%) as a decimal: 20% = 0.20.

2. Multiply the crowd size (7,900) by the proportion (0.20) to find the number of children:

Children = 7,900 * 0.20 = 1,580.

So, in a crowd of 7,900, there are 1,580 children.

This calculation is based on the assumption that the 20% proportion represents the fraction of the crowd that consists of children. If you have additional information about the crowd's composition or the nature of the 20%, such as whether it includes adults or other groups, the calculation may differ.

For such more questions on population

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Answer:

c

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

A number "n" is subtracted from 21

Solution:

Given that, we have to write the given expression as verbal sentence

Given expression is:

21 - n

Here, "minus sign" means subtraction

n is a unknown number

Therefore, we can say,

A number "n" is subtracted from 21

In another we can say,

21 is reduced by a number "n"

Thus given expression is translated into verbal expression

Answer:

-3

explanation:

3/4 times negative 4 = -3

Answer:

-3

Explanation:

.75 * -4 = -3

Find it by multiplying 40 by 1/5.

1/5 is the same thing as .2, by the way. You can use whichever one, whichever one is easiest for you.

1/5(40)=

1 * 40=   40

5 * 1=      5

40 divided by 5 is 8.

The answer is 8. One fifth of the class is 8 students.

Hope this helps!

Answer:

Step-by-step explanation:

Domain = {-9,5,6,-4,3}

Range= {3,1,9,7,2}

Domain is x value and range is y value

The domain and range of the function {(-9,3), (5,1), (6,9),(-4,7),(3,2)} is -9,5,6,-4,3 and 3,1,9,7,2.

The domain of a function is the values of variable that is entered in a function.

The range of the function is the value that is coming out from solving a function.

We are given the function {(-9,3),(5,1),(6,9),(-4,7),(3,2)}.

Domain of the function is the first element that is -9,5,6,-4,3. and the range of the function is the second element that is 3,1,9,7,2.

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Answer:

1 hour rate = 180 - 5 hour rate = 900

Step-by-step explanation:

To make the whole equation easy divide the number of people by the time.  

75 / 25 = 3

Now the number of people can be adjusted to any amount of time.  

For the hour rate multiply the number of people per minute by 60.

3 x 60 = 180

For the five hour rate use the same exact equation but multiply the 60 by 5 first.

3 ( 60 x 5 ) = 900

Hope this helped.

Answer:

Kiki has 0.03 cents more than Jordan.

Step-by-step explanation:

so first add 2.48 and 1.69= 4.17

Kiki's amount of money= $4.17

Add 3.05 and 1.09= 4.14

Jordan's amount of money= $4.14

subtract 4.17-4.14=0.03

After adding up the amounts for both Kiki and Jordan, it is determined that Kiki has more money by $0.03.

To find out who has more money, Kiki or Jordan, we need to add up the amounts that each person has in their respective locations and then compare the totals. First, let's calculate Kiki's total amount:

Adding these two amounts gives Kiki a total of $4.17.

Now let's calculate Jordan's total amount:

Adding these two amounts gives Jordan a total of $4.14.

By comparing the two totals, we see that Kiki has more money than Jordan. The difference in their amounts is $4.17 (Kiki's total) - $4.14 (Jordan's total) = $0.03. Therefore, Kiki has three cents more than Jordan.

In a complete sentence: Kiki has more money than Jordan by three cents.

Answer:

y = 10

Step-by-step explanation:

y = 4(3) - 2

y = 12 - 2

y = 10

Answer:

10

Step-by-step explanation:

plug the 3 in and multiply it by the 4. subtract the 2 and thats it!

Answer:

Susan has saved 20 Dollars so far

Answer:

1) adult ticket: $14, child ticket: $9

Step-by-step explanation:

Answer:

The money each boy had after buying his ticket is $2.50.

Step-by-step explanation:

Given:

Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money and spent $7.50 on a ticket.

Now, to find the money each boy had after buying his ticket.

Let the money each boy had after buying his ticket be [tex]x.[/tex]

Total number of boys = 4.

Total money they had = $40.

Money each boy spent = $7.50.

Now, to write an equation:

[tex]4(x+7.50)=40[/tex]

Now, to solve the equation for getting the money each boy had after buying his ticket:

[tex]4(x+7.50)=40[/tex]

[tex]4x+30=40[/tex]

Subtracting both sides by 30 we get:

[tex]4x=10[/tex]

Dividing both sides by 4 we get:

[tex]x=\$2.50.[/tex]

Therefore, the money each boy had after buying his ticket is $2.50.

Answer:

The second option, 0.3 is the probability.

Answer:

yes,in fact he can do it in just 4 minutes.

Step-by-step explanation:

number of words he can text per hour=1500

number of words he can text in a minute=1500÷60 (since there are 60 minutes in an hour,we are dividing 1500 by 60 to get the answer in minutes)

=25 words per minute

number of minutes he has=5.

now, we have to multiply the number of words he can type in a minute by the number of minutes he has,so 25×5=125.

he can type 125 words in 5 minutes.

Sao can text 25 words in a minute. Therefore, Sao can text a total of 125 words in 5 minutes. Thus, 85 words can be texted comfortably within this timeframe.

In this situation, we first need to determine how many words Sao can type in one minute. Since he can type 1500 words per hour, and there are 60 minutes in an hour, by dividing 1500 by 60, we determine that Sao can type 25 words per minute. Now, given that Sao has 5 minutes to type the message and he can type 25 words per minute, in 5 minutes, he should be able to type 125 words - 5 (minutes) * 25 (words). This means that if Sao has a message with 85 words, yes, he can complete the text in 5 minutes as 85 is less than 125.

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Answer:

all work is pictured and shown

answer is b

Answer:

{x | x ≤ 2}

Step-by-step explanation:

Answer:

64[tex]x^{6}[/tex] + 144[tex]x^{4}[/tex] + 108x² + 27

Step-by-step explanation:

Using the formula for volume, V = s³, then

V = (4x² + 3)³

This may be expanded as

(4x² + 3)(4x² + 3)(4x² + 3) ← expand the first 2 factors using FOIL

= (16[tex]x^{4}[/tex] + 24x² + 9)(4x² + 3) ← distribute by 4x² and 3

= 64[tex]x^{6}[/tex] +96[tex]x^{4}[/tex] + 36x² + 48[tex]x^{4}[/tex] + 72x² + 27 ← collect like terms

= 64[tex]x^{6}[/tex] + 144[tex]x^{4}[/tex] + 108x² + 27

Answer:

[tex]64x^{6}[/tex] + [tex]144x^{4}[/tex] + [tex]108x^{2}[/tex] + 27

Step-by-step explanation:

Answer:

0.76

Step-by-step explanation:

Answer:

.76

Step-by-step explanation:

Just add them

Answer: A

Step-by-step explanation: Acute and isosicles

Answer:

The answer is A. Hope I helped you! ;)))

Step-by-step explanation:

The triangle is acute and is isosceles.

Answer:

a or b

Step-by-step explanation:

Final answer:

The constant of variation k is found by substituting the given values into the direct variation equation t = k√s and solving for k, leading to the result k = 32.

Explanation:

We are given that t varies directly as the square root of s, which can be represented as t = k√s, where k is the constant of variation. To find k, we use the provided values: t=64 when s=4. Substituting these values into the equation gives us:

64 = k√4

Since the square root of 4 is 2, we get:

64 = 2k

Dividing both sides by 2, we find that k = 32, which is the constant of variation.

Step-by-step explanation:

Let r be the radius of the circle

The area of a circle is  A = pi * r^2

We know the area is 49 pi

pi r^2=49 pi

r^2=49 pi/pi

r^2=49

r=sqrt 49

r=7

The circumference of the circle is calculated as

C = 2pi*r

C = 2 *pi *(7)

C = 14*pi   cm

pi=22/7

C=14*22/7=2.22=44 inches

so,C =44 inches

Answer:

f(x) = x + 3  , if -3 ≤ x < -1

f(x) = 5       , if -1 ≤ x ≤ 1

Answer:

10.15 dollars is the answer...

Answer:

Step-by-step explanation:

To solve the question, apply BODMAS approach. that is solve the brackets, division, multiplication first before the addition and subtraction.

step 1: take the first bracket (4/7 + 8)

[tex]\frac{4}{7} + 8[/tex] is the same as (4/7)+ (8/1). The LCM is 7. multiply each term by the LCM and divide by the denominator.

[tex]\frac{4}{7} + 8[/tex] =  [tex]\frac{(4X1) + (8X7)}{7}[/tex] = [tex]\frac{4+56}{7}[/tex] = [tex]\frac{60}{7}[/tex]

step 2: consider the second bracket (3-(-4))

there is a sign multiplication in the terms. minus (-) x minus (-) = plus (+)

therefore the second bracket (3-(-4)) =  3 + 4 = 7

step 3: multiply both brackets.

(4/7 + 8) x (3-(-4)) = [tex]\frac{60}{7} X 7[/tex] = 60

The answer is 60

Answer:

2/3 as a decimal is 0.6 recurring

Step-by-step explanation:

See above

Answer:

3.01 is a decimal and 2/3 as a decimal is .666666666666666666 it keeps going on

Step-by-step explanation: