i need help with this problem. please?!?

Answer:

20 ft

Step-by-step explanation:

Given;

Length of flagpole shadow = 30 ft

Sign post height = 4 ft

Length of sign post shadow = 6 ft

Since the two objects are close to each other (the same location)

The height and shadow length of the two objects follows the same ratio, just like similar triangles;

Using the Ratio or similar triangles Formula;

height of flagpole/flagpole shadow length = height of sign post/ sign post shadow length

Substituting the values;

h/30 = 4/6

h = 4/6 × 30 = 20 ft

Flagpole height = 20 ft

Answer:

Step-by-step explanation:

X^2 + 7x + 7x + 49 = x*(x+7) + 7*(x+7) = (x+7)(x+7) = (x+7)^2

Answer:

The simplest form should be (x + 7)^2 (squared)

Step-by-step explanation:

This is a Perfect Square Trinomial. If the A and C values are both perfect squares then you can take the square root of them and that would become the factored version. Hope this helps! Please mark Brainliest! :)

Answer:

4x^2−4x+7

Step-by-step explanation:

Let's simplify step-by-step.

4x^2−10x+9+6x−2

=4x^2+−10x+9+6x+−2

Combine Like Terms:

=4x^2+−10x+9+6x+−2

=(4x^2)+(−10x+6x)+(9+−2)

=4x^2+−4x+7

Answer:

=4x^2−4x+7

Answer:

A

Step-by-step explanation:

Answer:

where is the picture so i can help you

Answer:

12x+14

Step-by-step explanation:

5x+5(2x+2)+7

5x+7x+7+7

12x+7+7

12x+14

Answer:

55.71 ft.

Step-by-step explanation:

hope this helps have a good day!

Answer:

57.62% probability that the proportion of people who will order coffee with their meal is within 2% of the population mean.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, we have that [tex]\mu = p, s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question:

[tex]p = 0.9, n = 144[/tex]

So

[tex]\mu = 0.9, s = \sqrt{\frac{0.9*0.1}{144}} = 0.025[/tex]

What is the probability that the proportion of people who will order coffee with their meal is within 2% of the population mean?

This is the pvalue of Z when X = 0.9 + 0.02 = 0.92 subtracted by the pvalue of Z when X = 0.9 - 0.02 = 0.88. So

X = 0.92

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.92 - 0.9}{0.025}[/tex]

[tex]Z = 0.8[/tex]

[tex]Z = 0.8[/tex] has a pvalue of 0.7881

X = 0.88

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.88 - 0.9}{0.025}[/tex]

[tex]Z = -0.8[/tex]

[tex]Z = -0.8[/tex] has a pvalue of 0.2119

0.7881 - 0.2119 = 0.5762

57.62% probability that the proportion of people who will order coffee with their meal is within 2% of the population mean.

The formula for the area of a circle is A = pi x (radius^2).

We need the radius of the circle in order to use the formula. The radius is equal to 1/2 of the diameter of the circle. The radius goes from the center to one side of the circle, whereas the diameter touches two sides of the circle and goes through the center.

radius = 6 / 2 = 3 units

Remember that a semi-circle is equal to 1/2 of a full circle. So we need to find the area of the whole circle and divide it by 2.

A = pi x 3^2

A = 9pi

A = 4.5pi = 14.13 units^2

Hope this helps! :)

Look at the attached picture

Hope it will be helpful to you..

Good luck for your test...(◕ᴗ◕✿)

Answer:

C) x2 + 8x – 65 = 0

Step-by-step explanation:

just took it :)

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

7/12

no. of not prime number/ total no. of number

Answer:

B) x=16

Step-by-step explanation:

The 3 is the base, the expression in the parenthesis is the argument and the 4 is the exponent

We also know that [tex]base^{exponent}[/tex] = argument

so therefore the new equation is [tex]3^{4}[/tex] = 5x+1

3 to the fourth power is 81

so 81=5x+1

then solve algebraically

Answer:

3cm

Step-by-step explanation:

Answer:

The answer is 540π cm³ or 1700 cm³.

Step-by-step explanation:

Given that the volume og cylinder is V = π×r²×h where r represents radius and h is height. The diameter is 12 cm so the radius is 6 cm. Then you have to substitute it into the formula :

V = π × r² × h

Let r = 6 cm,

Let h = 15 cm,

V = π × 6² × 15

= π × 36 × 15

= 540π cm³

= 1700 cm³ (3s.f)

Answer:

Round to 2 decimal places

0.607 => 0.61

Hope this helps!

:)

Answer:

(5-6)/(1+1)= -1/2

y - 6 = -1/2(x + 1)

y - 6 = (-1/2)x - 1/2

y - 12/2 = -1/2x - 1/2

y = -1/2x + 11/2

Answer:

That means that the roller coaster can be 800 feet or taller

which means greater than or equal to

r≥800

Step-by-step explanation:

Answer:

y is greater than or equal to 800 feet

Step-by-step explanation:

It says it is at least 800 feet, so it has to be higher than 800

Answer: 97

Step-by-step explanation:

This can be translated to:

The Grandfather, Don José, is a old man, but is not over 100 years old.

Last year his age was a multiple of 8, and next year will be a multiple of 7.

Find the age of Don José.

Ok, if the age of Don José is X, we have that:

X is a number of two digits.

X + 1 is a multiple of 7

X - 1 is a multiple of 8.

ok, the multiples of 7 are:

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98

the multiples of 8 are:

8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96

Now we must find any two numbers (one for each set) that are distanced by 2 units (because the difference between X + 1 and X - 1 is: (X + 1) - (X - 1) = 2)

We also must have that the larger number comes from the set of the multiples of 7, and the smaller number comes from the set of multiples of 8, the numbers are:

98, is multiple of 7 and this is X + 1

96 is multiple of 8 and this is X - 1

then X = 97,

Answer:

6

Step-by-step explanation:

In order to get r by itself, you would want to multiply both sides by 6 to cancel out the denominator. From this, you get r=5.

Hope this helps :)

Answer:

1. Area of rectangular rug is [tex]110 ft^{2}[/tex]

2. Area of triangular room is [tex]330ft^{2}[/tex]

Step-by-step explanation:

This problem bothers on the mensuration of flat shapes, rectangle and triangle.

step one

let us start by solving for the area of the rectangular rug

given data

Area A =  ?

Length l =  11 ft

Width w=  10 ft

we know that the area of a rectangle is expressed as

[tex]Area=Length * Width[/tex]

substituting our given data we have

[tex]Area= 11*10\\Area= 110 ft^{2}[/tex]

step two

let us  solve for the area of the triangular room

given data

Area A =  ?

base b =  30 ft

height  h=  22 ft

we know that the area of a triangle is expressed as

[tex]Area= \frac{1}{2} *base* height\\[/tex]

substituting our given data we have

[tex]Area= \frac{1}{2} * 30* 22\\Area=\frac{660}{2} \\Area= 330 ft^{2}[/tex]

Answer:

5 x 10 to the 6th power is 5,000,000

5 x 10 to the 4th power is 50,000

5,000,000 / 50,000 = 100

it is 100 times larger

Step-by-step explanation:

Answer:

[tex]log 9! = a-1[/tex]

Step-by-step explanation:

[tex](log10! = a) = (10^{a} = 10!)\\\\\\10! = 10 * 9 * 8 * 7 ...\\\\10^a = 10 * 9 * 8 * 7 ...\\\\10^a = 10 * 9!\\\\\frac{10^a}{10^1} = 9!\\\\10^{a-1} = 9!\\\\log9! = a-1[/tex]

The expression for log 9! in terms of a is [tex]log9! = a - 1[/tex].

Given that,

Based on the above information, the calculation is as follows:

[tex](log10! = a) = (10^{a} = 10!)\\\\10! = 10\times 9\times 8\times 7\\\\10^{a} = = 10\times 9\times 8\times 7\\\\10^{a} = 10\times 9!\\\\\frac{10^{a}}{10^{1}} = 9!\\\\10^{a - 1} = 9!\\\\log9! = a - 1[/tex]

Learn more: brainly.com/question/16911495

Answer:

15/2 = 7.5

Step-by-step explanation:

The slope is found by

m = (y2-y1)/(x2-x1)

    = (65-80)/(7-5)

    = -15/-2

   = 7.5

Answer:

-15/2

Step-by-step explanation:

Answer:

None of input and output table work for the rule.

Step-by-step explanation:

Start with the numbers given at A, B,C.

According to the rule you need to multiply by 666 to get the output.

A 000 * 666 = 0 (=NOT the output)

B 111 * 666 = 73926 (=NOT the output)

C 222 * 666 = 147852 (=NOT the output)

None of input and output table work for the rule.

Answer:

c

Step-by-step explanation:

khan academy

Answer:

45

Step-by-step explanation:

Answer:

45

Step-by-step explanation

Juan has just completed a 15 kilometer race in 20 minutes.  What was his average speed in kilometers per hour?

Solution

First, 15 kilometers is a distance, so

       d  =  15

Next, we are given 20 minutes and we are asked to present the speed in kilometers per hour rather than kilometers per minute.  We need to convert 20 minutes to hours.  Since there are 60 minutes per hour, we divide by 60 to find out how many hours it took

t  =  20 minutes / 60 minutes per hour =  1/3 hours

Now we can use the d=rt equation:

15  =  (r)(1/3)

If we multiply both sides

(3)(5)  =  (r)(1/3)(3)  or  r  =  45

Juan's average speed was 45 kilometers per hour.

Answer:

The amount of frozen fruit used to make smoothies is equal to the total number of frozen fruits minus the remainder of fruits after making smoothies.

Step-by-step explanation:

Let

Total number of frozen fruits = F

Let the amount of frozen fruits used for making smoothies = S

The remaining frozen fruits = R

Then

F - S = R

To get the amount of frozen fruits used to make smoothies, we make S the subject of the formula.

-S = R - F

S = F - R

That is, the amount of frozen fruit used to make smoothies is equal to the total number of frozen fruits minus the remainder of fruits after making smoothies.

Answer:

x=4

Step-by-step explanation:

4(3x+5)=6(x+8)-x

Distribute

12x +20 = 6x +48 -x

Combine like terms

12x+20 = 5x+48

Subtract 5x from each side

12x-5x +20 = 5x-5x+48

7x +20 = 48

Subtract 20 from each side

7x+20-20 = 48-20

7x = 28

Divide each side by 7

7x/7 = 28/7

x = 4

Answer:

(x-3)^2 = 4

Step-by-step explanation:

2 (x-3)^2 + 6 = 14

Subtract 6 from each side

2 (x-3)^2  = 8

Divide each side by 2

2/2 (x-3)^2 + 6 = 8/2

(x-3)^2 = 4

Answer:

10.5

Step-by-step explanation:

since square root of 110 is 10.4880

then we round off to the nearest hundreth

it'll be 10.5