Bill is planning a right triangular garden. He marked two perpendicular sides that measure 24 and 25 feet. What is the length of the other side?

Answers

Answer 1
right triangles always add up to 90° 24+25=49
90-49=41
so the other side is 41°
Answer 2

To find the length of the hypotenuse in Bill's right triangular garden, the Pythagorean theorem is used with the sides measuring 24 and 25 feet. The calculation shows that the hypotenuse is 35 feet.

Bill is planning a right triangular garden with two perpendicular sides measuring 24 and 25 feet. To find the length of the other side, which is the hypotenuse, we can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).

The formula is expressed as:

c2 = a2 + b2

Plugging in the values provided:

c2 = 242 + 252

c2 = 576 + 625

c2 = 1201

To find the length of the hypotenuse, we take the square root of 1201:

c = [tex]\\(sqrt{1201}\\[/tex]

Since 1201 is a perfect square, c = 35

Therefore, the length of the hypotenuse of the garden is 35 feet.


Related Questions

A cone ___ has a square base
never
always
sometimes

Answers

Answer:

Never

Step-by-step explanation:

Cuz cone has a round base

Answer:

never - a cone has a circular base

Step-by-step explanation:

solve for r
r/16 ≥8
a)r≥2
b)r≤128
c)r≤2
d)r≥128​

Answers

The solution to the inequality [tex]\frac{r}{16}\geq 8[/tex] is r≥128.

Step-by-step explanation:

Given inequality is;

[tex]\frac{r}{16}\geq 8[/tex]

We will solve the inequality for r.

Therefore;

Multiplying both sides by 16

[tex]\frac{r}{16}*16\geq 8*16\\x\geq 128[/tex]

Therefore;

The solution to the inequality [tex]\frac{r}{16}\geq 8[/tex] is r≥128.

Analyze the diagram below and complete the instructions that follow.
Find cos (0)

Please select the best answer from the choices provided

A. DF/DF
B. DF/EF
C. EF/DF
D. DE/DF

Answers

The value of the trigonometric equation is cos θ = EF/DF

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be represented as ΔDEF

Now , the sides of the triangle are

The hypotenuse of triangle is DF

where the measure of ∠DEF = 90°

Now , from the trigonometric relations , we get

cos θ = adjacent / hypotenuse

cos θ = EF/DF

Hence , the trigonometric relation is cos θ = EF/DF

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Here is a diagram and its corresponding equation. Find the solution to the equation.

Answers

Answer: The answer would be x=5/3

Step-by-step explanation:

First you would subtract 11 from both sides, cancelling out the 11 on the left while making 21-11=10. Your equation at this point would be 6x=10. Now you would divide by 6 on both sides making the answer x=5/3.

The value of x is 5/3.

What is an equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given is an equation, 6x+11 = 21

Solving for x,

6x+11 = 21

6x = 10

x = 5/3

Hence, the value of x is 5/3.

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What is the geometric mean of 5 and 18?

Answers

Answer:

[tex]\sqrt{90} =9.48683298051[/tex]

Step-by-step explanation:

First, mulitply the numbers

[tex]5*18=90[/tex]

Square root the last result

[tex]\sqrt{90} = 9.48683298051[/tex]

Stephanie is taking out a loan in the amount of $15,000. Her choices for the loan are a 4-year loan at
3% simple interest and a 5-year loan at 5% simple interest. What is the difference in the amount of interest
Stephanie would have to pay for each of these two loans?
$1,950
$3,750
$4,550
$1,800

Answers

Answer:

$1950

Step-by-step explanation:

Simple interest amount payable is given by

A=P(1+rt) where p is principal amount, A is final amount paid, t is time and r is rate of interest. For the first case

A=15000(1+0.03*4)=$16800

For second case

A=15000(1+0.05*5)=$18750

Difference will be 18750-16800=$1950

How yo use the distributive property to multiply 5×180

Answers

Answer:

900

Step-by-step explanation:

5 * 180

(5 * 100) + (5 * 80) + (5 * 0)

500 + 400 + 0

900

Answer:  900


I could use help with this asap

Answers

Answer:

Step-by-step explanation:

An ipad is worth R1200, excluding 15% VAT. What is the selling price of the ipad including VAT

Answers

Answer:

R1,380

Step-by-step explanation:

The price of the iPad without VAT is R1200

We calculate 15% to get;

[tex] = \frac{15}{100} \times 1200[/tex]

[tex] = 180[/tex]

Now the selling price of the iPad including VAT

[tex]1200 + 180[/tex]

[tex] = 1380[/tex]

Therefore, the selling price of the ipad including VAT is R1380

To find the selling price of the iPad including 15% VAT, calculate 15% of R1200, which is R180, and add it to the base price, leading to a total of R1380.

The selling price of an iPad including VAT can be calculated by first determining what 15% of the base price is, and then adding it to the base price. The base price is R1200.

To calculate 15% VAT:

Convert 15% to a decimal by dividing by 100: 15% / 100 = 0.15.

Multiply the base price by this decimal to get the VAT amount: R1200  imes 0.15 = R180.

Add the VAT to the base price to find the total selling price: R1200 + R180 = R1380.

Therefore, including 15% VAT, the selling price of the iPad is R1380.

write the repeating decimal as a mixed number; 4.1111...

Answers

Answer:

Step-by-step explanation:

Is 7/8x proportional or non proportional

Answers

Non proportional I think

Answer: it is proportional

Step-by-step explanation:

This is my answer because 7/8x can be written in the form y=mx+b. What does this mean?

Well, y=mx+b is slope intercept form, where m is the slope and b is the y intercept , or where the line first crosses the y axis. you can write 7/8x in slope intercept form as:

y= 7/8x+0

Also, you can see that the y intercept is 0, which means the line passes through the origin, or the point 0,0 on the coordinate plane. Therefore it must be proportional because every line that passes through 0,0 (the "origin") is proportional.

I think the other person is wrong..he/she didnt explain their reasoning..

Earn $23
Spend $2.46 and $$7.96
Save $10
Share ?

Answers

Answer:

12.58

Step-by-step explanation:

Answer:

3.42

Step-by-step explanation:

OWN

23-20.42=3.42

GET RID OF

2.46+7.96=10.42

+10(save)

20.42

Question 40 and it about adding and subtracting polynomials

Answers

Answer:

39x-7

Step-by-step explanation:

The perimeter is all the sides added together so

9x + 8x - 2 + 5x + 1 + 17x - 6

Since you can't solve it you just want to simplify the equation, add the like terms together

9x+8x+5x+17x = 39x

-2+1-6 = -7

Your equation is 39x-7

Zoe visits a departmental store to pick a can of salted mixed nuts. A 15.25 oz can of
mixed nuts is priced at $7.93 and the offer on a 25 oz can is $11.75. Assist Zoe pick up
the better deal.

Answers

Answer:15.25oz can

Step-by-step explanation:

jalen jogged 10 miles due north, then turned due west and jogged 5 more miles. How msny miles is jalen from his starting point?

Answers

Answer:

Jalen is 11.18 miles from his starting point.

Step-by-step explanation:

Given:

Jalen jogged 10 miles due north, then turned due west and jogged 5 more miles.

Now, to find miles Jalen jogged from his starting point.

So, below is the figure attached to describe the scene.

Now, to get the distance of Jalen jogged from his starting point we use pythagoras theorem:

[tex]AB^2+BC^2=AC^2\\\\10^2+5^2=AC^2\\\\100+25=AC^2\\\\125=AC^2[/tex]

Using square root on both sides we get:

[tex]11.18=AC\\\\AC=11.18\ miles.[/tex]

Therefore, Jalen is 11.18 miles from his starting point.

Answer:

11.18 miles

Step-by-step explanation:

Find the amount of interest owed for a $1,895 loan for 4 years at a 7.9% interest rate.

Answers

Answer: The amount of interest owed is $598.82.

Step-by-step explanation: 7.9% of $1,895 is 149.705. So, 149.705 x 4 years would be $598.82 for 4 years.

Final answer:

The total interest owed on a $1,895 loan at a 7.9% interest rate over 4 years is calculated using the formula for simple interest, resulting in a total interest amount of $598.43.

Explanation:

To find the amount of interest owed on a $1,895 loan for 4 years at a 7.9% interest rate, you can use the formula for calculating simple interest, which is Interest = Principal × Rate × Time. The principal (P) is $1,895, the rate (r) is 7.9% or 0.079 when expressed as a decimal, and the time (t) is 4 years.

So the calculation would be:
Interest = $1,895 × 0.079 × 4

Let's perform the calculation:

Interest = $1,895 × 0.079 × 4 = $598.43

The total interest owed on the loan after 4 years would be $598.43.

Which type of graph would be best used for showing the percentage of students in each grade level at a middle school

Answers

Answer:

A pie graph would be a good graph to use

8x-4y=16 8x+4y=16 What does x= what does y=

Answers

Answer:

x = 2      y=0

Step-by-step explanation:

We can solve using elimination method

8x - 4y  = 16 __________(1)

8x + 4y  =16 ___________(2)

Subtract equation (2) from equation (1)

-8y  =  0

Divide both-side of the equation by -8

-8y/-8  =   0/-8

y = 0

Substitute y=0 into equation (1)

8x - 4y  = 16

8x - 4(0)  = 16

8x  = 16

Divide both-side of the equation by 8

8x/8  = 16/8

(On the left-hand side of the equation, 8 at the numerator will cancel-out 8 at the denominator leaving us with just x while on the right-hand side of the equation  16 will be divided by 8)

x = 16/8

x = 2

Therefore x = 2 and y=0

6K2 - 10k + 50
How to factor

Answers

Answer:

there are no real solutions

Step-by-step explanation:

The discriminant is (-10)² - 4*6*50 is below zero, hence there are no solutions.

A tennis resort has 1,200 guests. If
65% of the guests play doubles and
singles, how many guests will play
both games?

Answers

Answer:

780 people

Step-by-step explanation:

65% of 1,200 is 780

Answer:

780

Step-by-step explanation:

To find the % of something simply convert 65% to a decimal > .65 then 1,200*.65=780

Directions: Consider a 2-kg bowling ball sits on top of a building that is 40 meters tall. It falls to the ground. Think about the amounts of potential and kinetic energy the bowling ball has:

What is the kinetic energy of the ball as it is half way through the fall?

Answers

Answer:

392 Joules

Step-by-step explanation:

Shaquira is baking cookies to put in packages for a fundraiser. Shaquira has made 86 chocolate chip cookies and 42 sugar cookies.
Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies.
What is the greatest number of identical packages that Shaquira can make?

Answers

Answer: 64 packagesStep by step explanation:

To solve this question, first you would add 86 to 42 which gets you 128. Then, you should divide 128 by 2 which gets you to 64, which is the greatest number of packages you can sell.

Answer:

the REAL answer would be 2

Step-by-step explanation:

What are two different ways of
factoring -5x - 15? Select all
that apply.

Answers

You can factor it by taking out the five, since it is a common factor of 5 and 15 (for example: 5(-x - 3) ), you can remove the negative value ( -1(5x+15) ), or your can remove the negative and the 5 (-5(x+3) ).

Two possible factorizations for the given sum are:

-5x - 15 = 1*(5x + 15)

-5x - 15 = 5*(-x - 3)

How to factorize an expression?

For a given sum like the one we have:

a + b

A factorization is something like:

a + b = k*(j + l), where k is a common factor between a and b.

In this case, our sum is: -5x - 15

One possible factorization is if we take the negative sign as the common factor we get:

-5x - 15 = 1*(5x + 15)

Another possible factorization is if we take 5 as the common factor:

-5x - 15 = 5*(-x - 3)

If you want to learn more about factorization, you can read:

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Carl claims that for some centers of dilation of a line, the line will remain

unchanged. He is tasked to prove his claim using the line y = 5x - 10 and a dilation

with a scale factor of 2. Which center of dilation could be used to support Carl's

claim?

A. (0,0)

B. (-5, 35)

C. (1, -5)

D. (2, 20)

Answers

Answer:

Option C.

Step-by-step explanation:

Dilation of a line:

If center of dilation lies on the line, then the line remains same.

If center of dilation does not lies on the line, then the dilated line is parallel to the original time.

The given equation of line is

[tex]y=5x-10[/tex]

The line will remain same if center of dilation lies on this line.

For x=0,

[tex]y=5(0)-10=-10\neq 10[/tex]

It means (0,0) does not lies on given line.

For x=-5,

[tex]y=5(-5)-10=-35\neq 35[/tex]

It means (-5,35) does not lies on given line.

For x=1,

[tex]y=5(1)-10=-5[/tex]

It means (1,-5) lies on given line.

For x=2,

[tex]y=5(2)-10=0\neq 20[/tex]

It means (2,20) does not lies on given line.

Center of dilation (1,-5) could be used to support Carl's claim.

Therefore, the correct option is C.

Rory has 3 pounds of ground beef to make meatballs. He uses 3/8 pound per meatball to make 7 meatballs. How many 1/8-pound meatballs can rory make with the remaining beef

Answers

Final answer:

Rory can make 3 additional 1/8-pound meatballs with the remaining 3/8 pounds of beef after making 7 meatballs that use 3/8 pound each.

Explanation:

Rory has initially 3 pounds of ground beef. Since he uses 3/8 pound per meatball to make 7 meatballs, we first need to calculate the total beef used for 7 meatballs by multiplying 7 (the number of meatballs) by 3/8 pound (the amount of beef per meatball).

7 meatballs × 3/8 pound/meatball = 21/8 pounds

Now, to find out the remaining beef, subtract the beef used from the total beef available:

3 pounds - 21/8 pounds = 24/8 pounds - 21/8 pounds = 3/8 pounds remaining.

With the remaining 3/8 pounds of beef, Rory wishes to make 1/8-pound meatballs. To find out how many 1/8-pound meatballs he can make, we divide the remaining beef by 1/8 pound:

3/8 pounds ÷ 1/8 pound/meatball = 3 meatballs.

Rory can make 3 additional meatballs, each weighing 1/8 pound, with the remaining beef.

Find the value of x. The angle measures of a right triangle are
30°
2x°
3x°​

Answers

Answer:

30

Step-by-step explanation:

Exterior angle equals sum of opposite interior angles

3x = 2x + 30

3x - 2x = 30

x = 30

Answer:

x=30

Step-by-step explanation:

all interior angles in a triangle must equal 180 degrees

2x+30+90=180

2x+120=180

2x=60

x=30

you can check by substituting 30:

2(30)+30+90

60+30+90=180

another way to do this:

3x is an exterior angle

however it is a supplementary one as well

that means tht

3x+90=180

3x=90

x=30

you get the same answer either way

HOPE THIS HELPS!

Write two expressions where the solution is 30

Answers

Answer:

(15+0)2

Step-by-step explanation:

(60/4)*2
Answer : 30

An employee’s new salary is $26.355 after getting a 5% raise. What was the salary before the increase pay?

Answers

Answer:

$25.03725

Step-by-step explanation:

Step 1:  Multiply both sides by %5 to get the raise

26.355 * %5 is same as 26.355 * 0.05

$1.31775 is the raise

Step 2:  Subtract the raise from the new salary

26.355 - 1.31775

25.03725

Answer:  $25.03725

Round to the nearest hundredth.

27.8 = 1.55y

y≈0.06

y≈17.94

y=26.25

y=29.35

Answers

The answer would be y=17.94

The correct answer is y = 17.94.

To solve the equation 27.8 = 1.55y for y, we first divide both sides of the equation by 1.55 to isolate y:

[tex]\[ y = \frac{27.8}{1.55} \][/tex]

 Now, we perform the division:

[tex]\[ y \approx 17.935483871 \][/tex]

 When rounding to the nearest hundredth, we look at the third decimal place. If it is 5 or more, we round up. If it is less than 5, we round down. In this case, the third decimal place is 5, so we round up:

[tex]\[ y \approx 17.94 \][/tex]

 Therefore, the solution to the equation, rounded to the nearest hundredth, is y = 17.94.

Solve the system using elimination.
3x + 16y = 3
3x - 16y = 3
The solution is a
(Type an ordered pair.)

Answers

The solution is (1,0)

Explanation:

The two equations are [tex]3x+16y=3[/tex] and [tex]3x-16y=3[/tex]

We need to solve the equation using elimination method.

Adding the two equations, we get,

[tex]3x+16y=3\\3x-16y=3\\-------\\6x=6[/tex]

[tex]x=1[/tex]

Thus, the value of x is 1

Substituting [tex]x=1[/tex] in the equation [tex]3x+16y=3[/tex] , we get,

[tex]3(1)+16y=3[/tex]

Simplifying, we get,

[tex]16y=3-3[/tex]

[tex]16y=0[/tex]

   [tex]y=0[/tex]

Thus, the value of y is 0.

The solution is (1,0)

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