A park has a 333 meter (\text{m})(m)left parenthesis, start text, m, end text, right parenthesis tall tether ball pole and a 6.8\,\text{m}6.8m6, point, 8, start text, m, end text tall flagpole. The lengths of their shadows are proportional to their heights.
Which of the following could be the lengths of the shadows?
Choose 2 answers:
Choose 2 answers:

(Choice A)
A
Tether ball pole shadow: 1.35\,\text{m}1.35m1, point, 35, start text, m, end text
Flagpole shadow: 3.4\,\text{m}3.4m3, point, 4, start text, m, end text

(Choice B)
B
Tether ball pole shadow: 1.8\,\text{m}1.8m1, point, 8, start text, m, end text
Flagpole shadow: 4.08\,\text{m}4.08m4, point, 08, start text, m, end text

(Choice C)
C
Tether ball pole shadow: 3.75\,\text{m}3.75m3, point, 75, start text, m, end text
Flagpole shadow: 8.35\,\text{m}8.35m8, point, 35, start text, m, end text

(Choice D)
D
Tether ball pole shadow: 0.6\,\text{m}0.6m0, point, 6, start text, m, end text
Flagpole shadow: 1.36\,\text{m}1.36m1, point, 36, start text, m, end text

(Choice E, Checked)
E
Tether ball pole shadow: 2\,\text{m}2m2, start text, m, end text
Flagpole shadow: 4.8\,\text{m}4.8m

Answer:

The percent of change is 20%.

And it is increased by last month.

Step-by-step explanation:

Given:

The ice cream parlor has 30 flavors, but for the last week they have only had 25 flavors.

Now, to find the percent of change.

Flavors ice cream parlor has = 30.

Flavors last week they had = 25.

So, the flavors increased from last week by:

[tex]30-25=5\ flavors.[/tex]

Now, to get the percent of change:

[tex]\frac{5}{25} \times 100[/tex]

[tex]=\frac{500}{25}[/tex]

[tex]=20\%.[/tex]

Thus, the percent of change is 20%.

The flavor is increased by last month.

Therefore, the percent of change is 20%.

And it is increased by last month.

Final answer:

The percent of change is a decrease of 16.67%, calculated by subtracting the new amount of flavors from the original, dividing by the original amount, and multiplying by 100.

Explanation:

To find the percent of change in the number of flavors at the ice cream parlor, we will subtract the original amount of flavors from the new amount, divide that by the original amount, and then multiply by 100. The original amount of flavors was 30, and the new amount is 25. Here is the calculation:

Subtract the new amount from the original amount: 30 - 25 = 5

Divide the change by the original amount: 5 ÷ 30 = 0.1667

Multiply by 100 to get the percent: 0.1667 x 100 = 16.67%

The percent of change is a decrease of 16.67% since the number of flavors went down from 30 to 25.

Answer:

5.5.5.5

= 5^4

=625

Explanation:

5 to the power of 4 is equal to 625

Redefined format 5.5.5.5 as 5 * 5 * 5 * 5, converted to exponential notation as 5^4. The base is 5, exponent is 4, showing multiplication of the base 4 times.

The number 5.5.5.5 that you've provided seems to have a format error considering the extra dots you've used. If by any chance you meant 5 * 5 * 5 * 5, it in exponential notation is 54. '5' is the base and '4' is the exponent, the latter representing the number of times the base is multiplied by itself. In this case 5 is multiplied by itself 4 times.

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Answer:

78.79°

Step-by-step explanation:

A fireman placed a ladder of length 36 feet against a building.

Now, if he placed the ladder 7 feet from the base of the building, then the angle formed between the ladder and the ground will be [tex]\theta[/tex] (Say).

Now, the ladder, the base ground and the building forms a right triangle and the ladder is the hypotenuse of the triangle and [tex]\theta[/tex] is the base angle.

So, [tex]\cos\theta = \frac{\textrm {Base length}}{\textrm {Ladder length}} = \frac{7}{36}[/tex]

⇒ [tex]\theta = \cos^{-1}(\frac{7}{36}) = 78.79^{\circ}[/tex] (Answer)

Answer:

y = 3x

Step-by-step explanation:

The exact equation for the climb would be y = (x-3)^2 + 9, however, a rough line that represents the climb is y = 3x.

Find the slope between (0, 0) and (3, 9) and we get m = 3. Plug it into y-int form and you get the line.

Answer:

y = 3x

I did this test last week and its correct.

Step-by-step explanation:

Answer:

A. {x / x ≠ -2, 3}

Step-by-step explanation:

In the graph, we can find the vertical asymptotes of the given graph is at x = -2 and x = 3.

You can see the vertical line red dotted line in the graph. That is called vertical asymptotes.

The vertical asymptotes cannot be the domain of the functions.

All other integers are domain except x = -2 and x = 3.

Therefore, answer is A. {x / x ≠ -2, 3}

Answer: 17/24

Step-by-step explanation: To write the fraction 34/48 in lowest terms, we divide the numerator and the denominator by the greatest common factor of 34 and 48.

Since the factors of 34 are 1, 2, 17, 34 and the factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48, the greatest common factor of 34 and 48 is 2.

So we divide the numerator and the denominator of 34/48 by 2.

34 divided by 2 is 17 and 48 divided by 2 is 24.

So 34/48 written in lowest terms is 17/24.

Final answer:

The number 13,809 in expanded form is expressed as 10,000 + 3,000 + 800 + 9, which corresponds to option 'D'.

Explanation:

To write the number 13,809 in expanded form, we break the number down into its place values and then write it as a sum of each digit multiplied by its place value. For the number 13,809 this would be:

(1 × 10,000) for the ten-thousands place,

(3 × 1,000) for the thousands place,

(8 × 100) for the hundreds place,

(0 × 10) for the tens place (which is actually 0 and usually omitted in expanded form), and

(9 × 1) for the ones place.

The expression that represents 13,809 in expanded form is therefore 10,000 + 3,000 + 800 + 9, which corresponds to option 'D'.

The cost per can of Diet Coke is cheaper at Wal-Mart than Kroger. Wal-Mart sells a can for approximately $0.287, while Kroger sells a can for approximately $0.3325. Therefore, Wal-Mart is the best buy.

To determine the best buy between Wal-Mart and Kroger, we need to calculate the price per can of Diet Coke for each store.

For Wal-Mart, the case contains 24 cans for $6.88. So, we divide the total cost by the number of cans: $6.88 ÷ 24 = $0.287 per can

For Kroger, the pack contains 12 cans for $3.99. So, again we divide the total cost by the number of cans: $3.99 ÷ 12 = $0.3325 per can

Comparing the two prices, $0.287 per can from Wal-Mart is cheaper than $0.3325 per can from Kroger. Therefore, buying the case of Diet Coke from Wal-Mart is the best buy.

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Wal-Mart offers a better buy for Diet Coke compared to Kroger, with a price of $0.287 per can versus Kroger's $0.3325 per can.

Wal-Mart offers the better buy since the price per can of Diet Coke is cheaper at Wal-Mart ($0.287) compared to Kroger ($0.3325).

Answer:

x=2/15

Step-by-step explanation:

3x=2/5

/3 to both sides

3×/3=2/5/3

x=2/15

Answer:

Toby wants to find the volume of a solid toy soldier.He fills a rectangular container 8 cm long, 6 cm wide,and 10 cm high with water to a depth of 4 cm. Toby totally submerges the toy soldier in the water. The height of the water with the submerged toy soldier is 6.6 cm. Which of the following is closest to the volume, in cubic centimeters, of the toy soldier?

A. 125 B. 156 C. 192 D. 208 E.317

The volume of the toy is 125 cubic cm ,option A is the closest answer.

Step-by-step explanation:

Given:

A rectangular container .

Length of the container =8 cm

Width of the container = 6 cm  

Height of the container when water is filled = [tex](h_1)[/tex] = 4 cm

Height of the container when the toy is submerged = [tex](h_2)[/tex] =6.6 cm

Volume of the toy =  Volume of the container with the toy - Volume of the container (with water)

Volume of the toy = [tex](l\times b\times h_2) - (l\times b\times h_1)[/tex]

                              = [tex](l\times b\times)(h_2-h1)[/tex]

                              = [tex](6\times 8)(6.6-4)[/tex]

                              = [tex]48\times 2.6[/tex]

                              = [tex]124.8[/tex] cubic centimeters.

So,the closest value to the volume of the toy is 125 cubic centimeters.

The closest volume, in cubic centimeters, of the toy soldier is 124.8 cm³.

To find the volume of the toy soldier submerged in water, we can use the following steps:

1. Calculate the initial volume of water in the container: 8 cm x 6 cm x 4 cm = 192 cubic cm.
2. Determine the final volume of water with the toy soldier submerged: 8 cm x 6 cm x 6.6 cm = 316.8 cubic cm.
3. Subtract the initial volume of water from the final volume with the toy soldier submerged: 316.8 cubic cm - 192 cubic cm = 124.8 cubic cm.

Therefore, the closest volume, in cubic centimeters, of the toy soldier is 124.8 cm³.

Answer:

See attachment

Step-by-step explanation:

The given system is :

[tex]y = - x + 5[/tex]

[tex]y = \frac{1}{4}x + 10[/tex]

Let us equate both equations and solve for x.

[tex] - x + 5 = \frac{1}{4}x + 10[/tex]

[tex] - 4x + 20 = x + 40[/tex]

[tex]20 - 40 =x + 4x[/tex]

[tex] - 20 = 5x[/tex]

[tex]x = - 4[/tex]

[tex]y = - - 4 + 5 = 9[/tex]

The the two lines of this system will meet at (-4,9)

The graph is shown in the attachment.

Answer:

[tex]x < 4[/tex]

Step-by-step explanation:

When the circle is open that means it is not equal to and the line is going to the left so it is less than

Answer: x<4

Step-by-step explanation:

Answer:

EVERYSINGLE ANGLE HAS 79 DEGREES

Step-by-step explanation:

Answer:

Step-by-step explanation: your unknown would be BABY IAN GOT TIME TO ANSWER YO QUESTION?!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

Explanation:

Three or more points are collinear if and only if they are on the same line, and, thus they are solutions, of the same equation of the line.

When you know two points through their coordinates you can always find the equation of the line:

You can find the slope, m, of that line by using the slope formula:

And then, you apply the point-slope equation:

Since you know m, x₁, and y₁, your equation is determined.

Once you have your equation, substitute the x and y coordinates with the coordinates of the point C. If, and only if, the equation is satisfied, the point C is on the same line and the three points are collinear.

Answer:

10

11

12

13

14

15

prime numbers:11,13,15

Answer:

Step-by-step explanation:

15,14,13,12,11,10

Answer:

No

Step-by-step explanation:

in order for a slope to be perpendicularit needs to me the opposite recipricol

so to be perpendicular to 3/2 it would be -2/3

Answer:

6-8x

Step-by-step explanation:

-2+3x+8+(-11x)

-2+3x+8-11x

-2+8+3x-11x

6+3x-11x

6-8x

Answer:

Acceleration = -1.25 m/s²

Step-by-step explanation:

Given data:

initial velocity = 5 m/s

Final velocity = 0 m/s since the car stopped

change in time = 4 seconds

Acceleration = change in velocity/change in time

Acceleration = (Final velocity - Initial velocity)/time

Acceleration = (0-5)/4

Acceleration = -5/4

Acceleration = -1.25 m/s²

The acceleration in negative since the car was reducing speed to stop, it can also called deceleration.

It travels 10 m and then stops.

It refers to the study of motion.

Given

Initial speed (u) = 5m/s

Time (t) = 4 sec

We know the equation of motion

[tex]\rm v = u + at\\v^{2}- u^{2} = 2as[/tex]

As final velocity (v) = 0

Then

[tex]v = u +at \\\\0 = 5 + 4a\\\\a= \dfrac{5}{4}[/tex]

then

[tex]\begin{aligned} \rm v^{2}- u^{2} &= 2as \\0^{2} - 5^{2} &= 2*\dfrac{5}{4} *s\\25 &= \dfrac{5}{2}*s \\s &= 10 m\\\end{aligned}[/tex]

Thus, it travels 10 m and then stops.

more about the Kinematic link is given below.

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Answer:

19.2 oz water

Step-by-step explanation:

32 oz times 60%

32

x .6

19.2

Answer:

The answer is 5,650

Step-by-step explanation:

The loan is 5,000 and the interest is 13%

First you have to get the percent to a decimal and then multiply it by the loan which in this case is 5,000

13/100 = 0.13

0.13 x 5000 = 5650

Answer:

8x+30°=110°

8x=80°

x=10°

Step-by-step explanation:

because the angles are vertical => they are equal

Answer:

$1275

Step-by-step explanation:

There is only one unique triangle that can be drawn with a 35° angle and a 45° angle, as the third angle is determined to be 100° to make the sum 180°.

To determine how many different triangles can be constructed with a 35° angle and a 45° angle, we can use the fact that the sum of angles in a triangle is always 180°. Adding the given angles, we get 35° + 45° = 80°. Subtracting this from 180° gives us the third angle, which is 180° - 80° = 100°. Since the sum of the angles is 180° and all angles are determined, there is only one unique triangle that can be drawn with these angle measures

Answer:

11:48 AM

Step-by-step explanation:

Answer:

11:48 am

Step-by-step explanation:

not sure if I did this right but 60-12=48. before noon would be am so it would be 11:48 am

sorry if its wrong qwq

Answer:

Step-by-step explanation:

x=-5

Answer:

It would be A) -5

Step-by-step explanation:

So it could be any number if it’s the x value. So it can’t be C or D

if it passes through (-5,4), then the x would have to be -5

therefore it is A

Answer:

x=2 and y=−2

Step-by-step explanation:

I will solve your system by substitution.

−8x−8y=0;−8x+2y=−20

Step: Solve−8x−8y=0for x:

−8x−8y+8y=0+8y(Add 8y to both sides)

−8x=8y

−8x

−8

=

8y

−8

(Divide both sides by -8)

x=−y

Step: Substitute−yforxin−8x+2y=−20:

−8x+2y=−20

−8(−y)+2y=−20

10y=−20(Simplify both sides of the equation)

10y

10

=

−20

10

(Divide both sides by 10)

y=−2

Step: Substitute−2foryinx=−y:

x=−y

x=−(−2)

x=2(Simplify both sides of the equation)