A fire hydrant 2.5 feet high casts a 5 foot shadow. How tall is a street light that casts a 26 foot shadow at the same time?

Answer:

[tex] \sqrt{ {(- 9 - 8)}^{2} + {(8 + 6)}^{2} } [/tex]

[tex]\sqrt{ {(- 17)}^{2} + {(14)}^{2} } [/tex]

[tex] \sqrt{289 + 196} [/tex]

[tex] \sqrt{485} [/tex]

[tex]22.02[/tex] units

A difference of squares must be a binomial, so we want two terms. This rules out the third and fourth options.

If we look at the first two, we must check that both terms are perfect squares.

Look at the first one: [tex]4x^2[/tex] is a perfect square (it's [tex](2x)^2[/tex]), but [tex]10y^2[/tex] is not a perfect square, because 10 is not a perfect square.

On the other hand, if we look at the second option, [tex]16y^4[/tex] is the square of [tex]4y^2[/tex], and [tex]x^2[/tex] is clearly the square of [tex]x[/tex]. So, this is the difference of two squares.

The value of  a = 7.93 or left as the fraction 111/14.

The question asks us to solve an algebraic equation for a single variable, specifically, solving 111 = 14a. This involves isolating the variable on one side of the equation to find its value. To do this, we divide both sides of the equation by 14, the coefficient of a.

Dividing both sides by 14, we get a = 111 / 14.

Thus, a = 7.928571429. However, for simplicity, we could round this to a = 7.93 or left as 111/14.

Answer:

see explanation

Step-by-step explanation:

Given

(x - 2)² + 9 = 0 ( subtract 9 from both sides )

(x - 2)² = - 9  ( take the square root of both sides )

x - 2 = ± [tex]\sqrt{-9}[/tex]

[tex]\sqrt{-9}[/tex] yields no real solutions

There is no real number when multiplied by itself gives - 9

In fact the solutions to [tex]\sqrt{-9}[/tex] are said to be imaginary, that is ± 3i

where i = [tex]\sqrt{-1}[/tex]

If interested investigate further.

Answer:

[tex]ratio=\frac{1}{3}[/tex]

Step-by-step explanation:

step 1

Find the volume of the cone

The volume of the cone is equal to

[tex]V_c=\frac{1}{3}Bh[/tex]

where

B is the area of the circular base

h is the height of the cone

step 2

Find the volume of the prism

The volume of the cone is equal to

[tex]V_p=Bh[/tex]

where

B is the area of the base of the prism

h is the height of the prism

step 3

Find the ratio of the volume of the cone to the volume oft the prism

[tex]ratio=\frac{V_c}{V_p}[/tex]

substitute the values

[tex]ratio=\frac{\frac{1}{3}Bh}{Bh}[/tex]

simplify

[tex]ratio=\frac{1}{3}[/tex]

Answer:

It's option B on plato

Step-by-step explanation:

Final answer:

The powers of 3 that fall within the range of 3 through 1,000 are 3, 9, 27, 81, 243, and 729.

Explanation:

To find all the powers of 3 that are in the range 3 through 1,000, we need to calculate successive powers of 3 until the result exceeds 1,000. These calculations give us 31=3, 32=9, 33=27, 34=81, 35=243, 36=729, and 37=2187. However, since 2187 is greater than 1,000, we exclude it from our list. Therefore, the powers of 3 that fall within the specified range are 3, 9, 27, 81, 243, and 729.

Answer:

  b) 105°

  d) 130°

Step-by-step explanation:

An external angle has the same measure as the sum of the remote internal angles.

b) ? = 25° +80° = 105°

d) ? = 35° +95° = 130°

_____

This should be fairly obvious if you consider that the adjacent internal angle together with the external angle totals 180°, and the adjacent internal angle together with the other two internal angles totals 180°.

If the two "remote" angles are A and B, and the adjacent internal angle is C, then we have in symbols ...

  A + B + C = 180° = ? + C

If we subtract C, then we find ...

  A + B = ? . . . . . . the fact we used above

Answer:

112 students

Step-by-step explanation:

Let T be the total number of students in the band.

From the question,

We were told that 37.5% of the total owns their individual instruments and this amount to 42 students

The total number of students can calculated for as follows:

37.5% x T = 42

37.5/100 x T = 42

Cross multiply to express in linear form

37.5 x T = 100 x 42

Divide both side by 37.5

T = (100 x 42) /37.5

T = 112

Therefore, there are 112 students in the band

Answer:

He will save $15.00

Step-by-step explanation:

You multiply $2.25 by 20 days and that is equal to 45

So $45.00 - $30.00 that would be $15.00

If Joe buys a one-day pass for each of the 20 days he goes to the swimming pool this month, it will cost him $45.00. However, if he buys a monthly pass for $30.00, he will spend less money. Joe can save $15.00 by buying a monthly pass instead of a one-day pass each day.

The subject of this question is mathematics as it involves arithmetic calculations to compare the cost of two possible options.

If Joe goes to the swimming pool 20 different days this month and buys a one-day pass for $2.25 every day, it would cost him 20 * $2.25 which equals to $45.00.

However, if Joe buys the monthly pass for $30.00, he would spend less money compared to buying a one-day pass every day. To find out how much Joe will save by buying the monthly pass, subtract the cost of the monthly pass from the total cost of buying one-day passes for 20 days. Therefore, $45.00 - $30.00 equals to $15.00.

So, Joe will save $15.00 by buying the monthly pass instead of a one-day pass each day he goes to the swimming pool.

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Answer:

For my calculation I got 11.75. Hope this helps can I please get brainliest thanks.

Answer:

11.75

Step-by-step explanation:

The multiplication must be done before the addition:

1/2x1.5+11 => (1/2)(1.5)  +  11, or

                        0.75 + 11  = 11.75

Speed of the first car is 30 mph and that of the second car is 20 mph.

Step-by-step explanation:

Time = Distance/Speed

        = 60/x - 10 ------ (1)

Time = 90/x ------- (2)

⇒ 60/x - 10 = 90/x

⇒ 60x = 90(x-10)

⇒ 2x = 3(x - 10)

⇒ 2x = 3x - 30

⇒ -x = -30

∴ x = 30 mph

⇒ x - 10 = 30 - 10 = 20 mph

Answer:

Step-by-step explanation:

Figure out what each fraction is equivalent their decimal. Then you plot it based on the decimal

2 7/8 is 2.9 so you go past the 2 and go 9 points and plot it

1 1/4 is 1.3  so you go past the 1 and plot 3 points further

Answer:

2.875 and 1.25

Step-by-step explanation:

2 7/8= 2.875

1 1/4= 1.25

Jake can eat 2 boxes of cereal in a month as per the given conditions.

Rate of change is defined as the change in value with rest to the time is called rate of change.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Jake eats 1/4 of a. box of cereal in 1/8 of a month.
The number of boxes of cereal jake can eat in a month is given as,
=  1/4 / [1 / 8]
= 8 / 4
= 2  cereal boxes

Thus, jake can eat 2 boxes if cereal in a month as per the given conditions.

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Answer:

A: Associative

Step-by-step explanation:

Answer:

10.166666666667

Step-by-step explanation:

Answer:

(add up all the number and divide it by 6, cause there are about 6 numbers in the list)

58 + 38 + 54 + 48 + 26 + 36 = 260 ÷ 6 = 43.3

(subtract the mean {43.3} with the same listed numbers)

43.3 - 58 = 14.7

43.3 - 38 = 5.3

43.3 - 54 = 10.7

43.3 - 48 = 4.7

43.3 - 26 = 17.3

43.3 - 36 = 7.3

(add up all the difference and divide it with 6 again)

14.7 + 5.3 + 10.7 + 4.7 + 17.3 + 7.3 = 60 ÷ 6 = 10

so our MAD (mean absolute deviation) would be 10!

~hope this helps, have a good day/afternoon/nigh~

Final answer:

The probability that Kara's next roll is either a 3 or a 6 is 1/3.

Explanation:

The question asks about the probability of rolling either a 3 or a 6 on a six-sided die based on previous rolls. The previous rolls are as follows: 1, 3, 3, 4, 6, 2, 2, 5, 3, 4. It is important to understand that each roll of a die is an independent event, meaning the outcome of one roll does not affect the outcomes of any other rolls.

Therefore, the results of Kara's previous rolls do not impact the probability of future rolls.

To determine the probability of rolling either a 3 or a 6, we consider that a six-sided die has six equally likely outcomes.

The probability of rolling a specific number, like a 3 or a 6, is therefore 1/6.

Since these are two separate outcomes, we add their individual probabilities to determine the probability of rolling either a 3 or a 6:

Probability of rolling a 3 = 1/6
Probability of rolling a 6 = 1/6
Total probability of either a 3 or 6 = 1/6 + 1/6 = 2/6 or 1/3.

Thus, the probability that Kara's next roll is either a 3 or a 6 is 1/3.

Answer:

below only shows up once

Step-by-step explanation:

mark: tally:  frequency:

61  I           I

67   I               I

81       I               I

83         I            I

87          I           I

88             I         I

89             I         I

90         I              I

98       I            I

100              I         I

Question

The following table shows the number of goals that the Texas Sharpshooters scored in each of their 8 hockey  games this season.

Based on this data, what is a reasonable estimate of the probability that the Texas Sharpshooters score exactly  1 goal next hockey game?

3, 4,  1, 4, 1, 1, 2, 1

Answer:

The probability that the Texas Sharpshooters score exactly  1 goal next hockey game is 0.5

Step-by-step explanation:

The topic in question is Experimental probability;

Experimental probabilities deal with the probability of an event happening based on past experiments.

Given

Number of observation, n = 8

To calculate an estimate of the probability that the Texas Sharpshooters score exactly  1 goal next hockey game, we need to count the total occurrence of 1 in the given data

Let p = total occurrence of 1

p = 4

The probability is then calculated as [tex]\frac{p}{n}[/tex]

by substitution;

Probability = [tex]\frac{4}{8}[/tex]

Probability = 0.5

Hence, The probability that the Texas Sharpshooters score exactly  1 goal next hockey game is 0.5

Answer:

6

Step-by-step explanation:

40*15%=6

a and b: decreasing

b and c: constant

c and d: decreasing

d and e: increasing

Answer:

a and b: decreasing

b and c: constant

c and d: decreasing

d and e: increasing

Step-by-step explanation:

Answer:

dilation

Step-by-step explanation:

whenever the shape is dilated, or scaled by a factor of any number, the shape will change size and will become similar rather than congruent. congruent shapes have the same dimensions as the parent or original shape.

answer:

dilation

Step-by-step explanation:

whenever the shape is dilated, or scaled by a factor of any number, the shape will change size and will become similar rather than congruent. congruent shapes have the same dimensions as the parent or original shape.so it dilation so ez

Answer:

1296

Step-by-step explanation:

Note there is a common ratio between consecutive terms of y, that is

36 ÷ 6 = 216 ÷ 36 = 6

Thus to find a term, multiply the previous term by 6

216 × 6 = 1296

Answer:x>-4

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Answer: x>-4

Step-by-step explanation: I took the test.

Ahonswer:

Step-by-step explanation:

Answer:

green:14.28

red: 14.28

yellow: 28.56

blue: 28.56

purple:14.28

good luck! sorry if this isnt the right answer, i tried!!!

Step-by-step explanation:

1. Expand

- 3 - 4m = 28m - 28 - 7m

2. Simplify 28m - 28 - 7m to 21m - 28

- 3 - 4m = 21m - 28

3. Add 4m to both sides

- 3 = 21m - 28 + 4m

4. Simplify 21m - 28 + 4m to 25m - 28

-3 = 25m - 28

5. Add 28 to both sides

- 3 + 28 = 25m

6. Simplify - 3 + 28 to 25

25 = 25m

7. Divide both sides by 25

1 = m

8. Switch sides

m = 1

Step-by-step explanation:

Numbers that cannot be written as a simple fraction are Irrational (i.e not rational) numbers.

Some examples are :

π = 3.14159...........

or

√2 = 1.41421.............

or

e = 2.718218...........

1.

Choice A is not exponential growth or decay because the cost will go up by the same amount ($2) each time. Choices B and C are exponential, but they aren't growth functions. Rather, they are decay functions. A disease spreads exponentially because one person infects two, and then each of those two people infect two others (making 4 additional people infected), and so on.

===============================

2.

Assuming the treatment works and it is effective, then the cancer cells will go away over time. One example would be that the population is cut in half each time. Choice A is not an answer because the balance will go down the same amount each time. This is assuming the bus company does not change its prices. Choices B and D are eliminated because they represent growth.

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3.

I'm unable to answer this because the table is missing.

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4.

If the y values increase or decrease by the same amount, as x increases by some set amount, then you have a linear function. For example, if x increases by 1 pairs up with y increasing by 4, then the slope is 4/1 = 4 and we have a linear function.

--------

On the other hand, if x increases by 1 couples with the y values multiplying by some set amount, then you have an exponential function.

Example:

Each time x increases by 1, y is multiplied by 5.

Answer:

-4

Step-by-step explanation:

-4t+15=-1

Subtract 15 on both sides:

-4t=-16

Divide -4 on both sides:

t=-4