two vertical poles of heights 12 inches and 22 inches are separated by a horizontal distance of 24 inches. what will be the distance between the tops of these poles?

Answers

Answer 1

Answer: 26 in.

Step-by-step explanation:

Given

Heights of Poles are [tex]12\ in., 22\ in.[/tex]

distance between them is [tex]x=24\ in.[/tex]

the difference in heights of the pole is [tex]y=22-12=10\ in.[/tex]

From the figure, using Pythagoras theorem, distance L is given by  

[tex]\Rightarrow L^2=y^2+x^2\\\Rightarrow L^2=10^2+24^2\\\Rightarrow L^2=100+576=676\\\Rightarrow L=\sqrt{676}=26\ in.[/tex]

The distance between tops is 26 in.

Two Vertical Poles Of Heights 12 Inches And 22 Inches Are Separated By A Horizontal Distance Of 24 Inches.

Related Questions

Mrs.Patrick bought a package of 15 expo markers. 20% of them were blue the other's were black. How many expo markers were blue? ​

Answers

Answer:

3 blue expo markers

Step-by-step explanation:

15(0.2)=3

In order for a rhombus to be proven using either its sides or angels, it must first be proven to be a

Answers

Answer:

It must be proven to be a quadrilateral

Step-by-step explanation:

The question is straightforward, and it requires a direct answer.

A rhombus has four sides and as such it means it is a type of quadrilateral.

So, before a shape is proven to be a rhombus, it has to first be proven to be a quadrilateral.

ducks and pigs are in a barn. There a total of 20 animals with 56 legs all together. How many of each animal are in the barn?

Answers

Answer:

Ducks- 8

Pigs- 12

Step-by-step explanation:

56 divided by 8 is 12 and 12 plus 8 is 20.

Given f(x) = 4x - 1 and g(x) = x2, choose
the expression for (fºg)(x).
Click on the correct answer.

Answers

Step-by-step explanation:

step 1. f°g(x) = f(x^2)

step 2. f(x^2) = 4(x^2) - 1

step 3. answer: 4x^2 - 1

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. y=38(1.108)^x

Answers

Step-by-step explanation:

We are given this function:

y=8700* (1.04)^{4}y=8700∗(1.04)

4

8700 is the initial amount.

1.04 shows the change of original amount. This is decimal form of percentage. We need to transform it into regular percentage.

1.04 * 100% = 104%

Now we observe this number. If it is greater than 100% we have growth, if it is lower than 100% it is decay, and if it is equal to 100% than there is no change.

In our case this number is greater than 100% so we have growth. To determine the percentage rate we must substract 100% as it represents the original amount.

104% - 100% = 4%

This would be our solution if we don't have an exponent.

We have exponent so first step is to calculate the number and then we repeat the steps from above.

1.04^{4} = 1,169858561.04

4

=1,16985856

1,16985856 * 100% ≈ 116,99%

116.99% - 100% = 16.99%

So, final solution is growth of 16.99%

We are given this function:

y=8700* (1.04)^{4}y=8700∗(1.04)

4

8700 is the initial amount.

1.04 shows the change of original amount. This is decimal form of percentage. We need to transform it into regular percentage.

1.04 * 100% = 104%

Now we observe this number. If it is greater than 100% we have growth, if it is lower than 100% it is decay, and if it is equal to 100% than there is no change.

In our case this number is greater than 100% so we have growth. To determine the percentage rate we must substract 100% as it represents the original amount.

104% - 100% = 4

This would be our solution if we don't have an exponent.

We have exponent so first step is to calculate the number and then we repeat the steps from above.

1.04^{4} = 1,169858561.04

4

=1,16985856

1,16985856 * 100% ≈ 116,99%

116.99% - 100% = 16.99%

So, final solution is growth of 16.99%

How do you decide where to shade an inequality whose boundary does not go through the origin?

Answers

Answer:

Step-by-step explanation:

basically, you have to look at the inequality. it is the same all around. so if the inequality has less than or equal too, or greater than or equal too, you need to have a thick solid line representing your function. if it is just less than or greater than, use a dotted line. to determine whether the shading goes above or below, you look at the in equality. greater than is above, and less than is below

Adult tickets to a basketball game cost $5. Student ticket cost $1. A total of 2,814 was collected on the sale of 1,150 ticket. How many of each type of ticket were sold?

Answers

Answer:

Adult: 333 tickets, Student: 1664 tickets

The perimeter of a regular hexagon is 78 cm .What will be the length of each side?

Answers

Answer:

13 cm

Step-by-step explanation:

78/6=13

Answer:

13cm

Step-by-step explanation:

regular means the sides are equala hexagon has 6sides78/6=13

If twice a number is 10, what is that number?​

Answers

Answer:

2x = 10

x = 10 / 2

therefore, x can be 5

Step-by-step explanation:

check

2*5 = 10

BRAINLIEST ARMYYY

If the measure of arc RT = 80 degrees and the measure of arc US = 40 degrees, what is the m<2?

Answers

80+40=120
360-120=240
240/2=120
So answer is 120

Having good study habits will help you learn more.


TrueFalse

Answers

Answer:

Ture

Step-by-step explanation:

I have experience and i answered this question before

Answer:

True.

Step-by-step explanation:

Studying helps implant the knowledge into your brain, allowing you to remember it, and succeed in that subject of knowledge, thus having good study habits will help you learn more!

A football field measures at 100 yards with 2 end zones. There are 2 end zones. Each end-zone is 10 yards long. What is the total length of the football field in feet?

Answers

Answer:

360 feet.

Step-by-step explanation:

If there are 2 end zones each measuring 10 yards long then that means that both together measure 20 yards long. We add this to the 100 yards of the field and we get a total length of 120 yards. Now we can simply turn this into feet, we know that ...

1 yard = 3 feet

120 yards = x feet

120 * 3 = x

360 feet = x

Finally, we can see that the length of the football field is 360 feet.

A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 620 babies were​ born, and 341 of them were girls. Use the sample data to construct a 99​% confidence interval estimate of the percentage of girls born. Based on the​ result, does the method appear to be​ effective?

Answers

Answer:

Based on the confidence interval, the method appears to not bring expected results

Step-by-step explanation:

The given parameters are;

The number of babies in the study, n = 620 babies

The number of girls in the study sample = 341 girls

The proportion of girls in the study sample, [tex]\hat p[/tex] = 341/620 = 0.55

At 99% confidence level, we have the critical z = 2.576;

The confidence interval is given by the following formula;

[tex]CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p} \cdot (1-\hat{p})}{n}}[/tex]

Plugging in the values of the variables, we get;

[tex]CI=0.55\pm 2.576\times \sqrt{\dfrac{0.55 \times (1-0.55)}{620}} \approx 0.55 \ \pm 5.14680 \times 10^{-2}[/tex]

Therefore, 0.498532 < p < 0.601468

Based on the result of the confidence interval, we can be 99% sure that the true mean is between 0.498532 and 0.601468, therefore, given that the range includes a true mean of 0.5 or 50% probability of conceiving a girl, which is the percentage predicted by genetics, the method appears ineffective

Mister mayor has asked that you pass a geometry quiz before you begin building. He wants you to make sure you are qualified before you begin building his city.

Answers

Answer:

what do you need help with tho lol

Step-by-step explanation:

In 2007, the value of a house was £119,995 From 2007 to 2018, house prices decreased by 9.4%. How much has the value of the house decreased by?

Answers

Answer: £11,279.53

Step-by-step explanation:

Given

In 2007, the price of the house was £119,995

Price decreases by 9.4%

[tex]\Rightarrow \text{Current Price}=\text{Old Price}-9.4\%\text{Old Price}\\\Rightarrow 119,995-9.4\%\ \text{of}\ 119,995\\\Rightarrow 119,995(1-0.094)=119,995\times 0.906\\\Rightarrow 108,715.47[/tex]

Price decreased by 119,995-108,715.47=£11,279.53

Find the volume of a right circular cone that has a height of 4.4 in and a base with a diameter of 3.3 in. Round your answer to the nearest tenth of a cubic inch.

Answers

Answer:

12.5 in squared 3

Step-by-step explanation:

Answer:

12.5!

Step-by-step explanation:

Given a roll of nickels. The diameter of one nickel is 0.835 inches, and the thickness is 0.077 inches. Find the surface area of a roll of $2 in nickels. Round to the nearest tenth.
PLS RESPOND ASAP I NEED THE ANSWER PLSSSS

Answers

Answer:

124.8 Inches

Step-By-Step

1/2 0.835 Inches = 0.4175

r = 0.4175

h = 0.077

A=2πrh+2πr^2

A=2π(0.4175)(0.077)+2π(0.4175^2)

A = 3.12

Nickel = 5 Cents

$2 = 200 Cents

200 / 5 = 40

(3.12)(40) = 124.8 In

Answer:

The answer is 0.8 in^2

Step-by-step explanation:

Data

diameter = 0.835 in

thickness = 0.077in

Roll of $ 2.00

Procedure

1.- Find the total number of nickels

# of nickels = 2/ 0.05

# of nickels = 40

2.- Calculate the Circumference

C = 2*pi*r

r = 0.077/2

r = 0.0385

C = 2*3.14*0.0385

C = 0.242 in

3.- Calculate the area of the thickness

Area = 0.242* 0.077*40

Area = 0.745 in^2

4.- Calculate the area of the base and the top

Area = 2*pi*r^2

Area = 2*3.14*(0.0382)^2

Area = 0.0093 in^2

5.- Calculate the total area of the roll

Total area = Area of the thickness + Area of the base and top

Total area = 0.745 + 0.0093

Total area = 0.7543 in^2 This is the result

Rounding to the nearest tenth = 0.8 in^2

Factor completely:

x³ - 9x

Answers

Answer:

x(x+3)(x-3)

Step-by-step explanation:

Factor out common term x

=x(x^2-9)

Factor x^2-9;

(x+3)(x-3)

=x(x+3)(x-3)

Answer:

x(x + 3)(x - 3)

Step-by-step explanation:

What we're given is a difference of squares multiplied by x.  If we start by factoring x out, we can simply expand the binomial:

x³ - 9x

= x(x² - 9)

= x(x + 3)(x - 3)

Any time you see an expression in the format a² - b², that is called a difference of squares, and can always be expanded out to (a + b)(a - b).  In this case, a is x, and b is 3.

Just number 14 pleaseee

Answers

9514 1404 393

Answer:

  Step 2 is where the error lies.

  The solution is x > 6

Step-by-step explanation:

The rules for solving inequalities are substantially similar to the rules for solving equations. If you perform the same operation on both sides of the comparison, the value of the variable does not change. (The exception is when that operation is an "order-reversing" operation. See comment below.)

Kahal's steps would be expected to be the same ones you would use:

  Step 1: 4x -4 > 20 . . . given

  Step 2: 4x > 24 . . . add 4 to both sides

  Step 3: x > 6 . . . . . divide by 4

We note that our Step 2 is different from Kahal's Step 2. In Step 2 is where his mistake was made. He added 4 to one side and subtracted 4 from the other side.

__

Exception (order-reversing operations)

The operation you will usually run across in high-school algebra that will reverse ordering is multiplication (or division) by a negative number. Consider, for example, ...

  1 < 2

  -1 > -2 . . . . . both sides of the inequality multiplied (or divided) by -1

Notice that the order has been reversed: the larger magnitude number is now "less than".

Which applies the power of a product rule to simplify (50) ?
(50) 3 - 56
(51) 3 = 3(57) - 154
(50 ° - 5373 = 1251
(50) 3 - 5 t = 1251

Answers

The answer is d. Thx ;)

What is another way to write x2.x4?

Answers

Answer:

If x2.x4 and x2= 2x, x4=4x, while . means multiplication. therefore it can be written as 2x × 4x

if the simple interest on 2000 for 4 years is 4000 then what is the interest rate

Answers

Answer:

Principal = Rs 2000

Time = 4 years

Interest = Rs 400

Now, Interest= Principal×Rate×Time/100

400= 2000×R×4/100

R= 400×100/2000×4

Step-by-step explanation:

Hope it is helpful....

A map is shown.

How far is Sandra's house from Johnny's house?

Answers

Answer:

1681 miles

By Pythagoras theoram

Jim Tree sells trees. The mean length of the trees purchased was 68 inches with a standard deviation of 10 inches. Jim wants to know what percent of his sales were more than 84 inches tall. He can use the standard normal distribution to help him.

Answers

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Given value:

[tex]\to X = 84\\\\\to \mu = 68\\\\\to \sigma= 10\\\\[/tex]

Using formula:

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

    [tex]= \frac{84-68}{10}\\\\ = \frac{16}{10}\\\\=1.6[/tex]

Calculating the percent of the sales which is less than or equal to 84 inches:

[tex]\to P(Z \leq 1.6)=0.9452[/tex]

                      [tex]= 0.9452 \times 100\\\\ =94.52\% \approx 95.5\%[/tex]

Calculating the remaining value [tex]100-94.5=5.5\%[/tex] were more than 84 inches.

What is 69.37 minus 1.93

Answers

Answer:

the answer is 67.44 hope it helps smile

help with this too!!

Answers

Answer:

a

Step-by-step explanation:

*
What is the slope and y-intercept of y=-3x+7?

Answers

Answer:

The slope is -3 and the y-intercept is (0, 7)

Step-by-step explanation:

In the slope-intercept form (y=mx+b), m is the slope and b is the y-intercept. -3 is substituted for m and 7 is substituted for b in your equation.

A rectangle has vertices located at (–4, 4), (2, 4), (2, –4) and (–4, –4). What is the length of a diagonal of the rectangle?

Answers

Answer:

A diagonal of this rectangle has length 10.

Step-by-step explanation:

The vertices (-4, 4) and (-4, -4) have the same x-coordinate (-4) and different y-coordinates (4 and -4).  These two points are the endpoints of a vertical side of the rectangle which has length 4 - (-4) = 8.

Similarly, the vertices (2, -4) and (-4, -4) have the same y-coordinate (-4) but different x-coordinates (2 and -4).  To find the horizontal dimension of the rectangle, we calculate 2 - (-4), which comes out to 6.

Thus, the width of the rectangle is 6 and the length is 8.

Using the Pythagorean Theorem, we find the length of a diagonal as follows:

d = √(6^2 + 8^2) = √(36 + 64) = √100 = 10.

A diagonal of this rectangle has length 10.

14.875/1.5 step by step

Answers

Answer:

9.916...

Step-by-step explanation: (The "6" is repeating)

Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.

This gives us a mixed number-fraction: 9 and 11/12.

If we then turn this into a simplified fraction, then it becomes 119/12. Turn that into a decimal by dividing the numerator by the denominator.

This gives us our answer of 9.916...!!! Hope that helps!

8) Anthony wants to earn at least $41,000 this year. So far, he has earned $34,000. How much
more does Anthony need to earn to meet his goal?
Inequality:
Solution:

Answers

Ansswer:

7,000

Step-by-step explanation:

41,000 - 34,000 = 7,000

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