4. You sketch a right triangle that has a
hypotenuse of 12 centimeters, and one leg
that is 7 centimeters. How many centimeters
Is the other leg?

Answers

Answer 1

Answer:

√95 cm

Step-by-step explanation:

To solve, you need to use the pythagorean theorem, or a^2 + b^2 = c^2

The hypotenuse is the c and let one leg be b. You can write:

a^2 + 7^2 = 12^2

a^2 + 49 = 144

Now, you need to solve for a:

a^2 = 144 - 49

a^2 = 95

a = √95 cm, or about 9.75cm


Related Questions

Mr. Valenzuela’s new bottle of shampoo contains 60 ounces of shampoo. He uses One-fourth ounce of shampoo each time he washes his hair. Which equation can be used to find x, the number of washes after which 24 ounces will remain in the bottle?

Answers

1/4(24)= 6 60-6= 54 the answer is 54 ounces of shampoo left

Answer:

60 - 1/4x = 24

Step-by-step explanation:

What is the Lowest Common Denominator between 3/5 and x/x+2

Answers

Answer:

Step-by-step explanation:

Denominators are 5 and ( x+2)

As there is no common factors, to find the lowest common denominator multiply them

LCD = 5*(x +2)

Which ordered pair is generated from the equation shown below?

y = 3x + 2

O A) (3, 11)
OB) (3,9)
OC) (5, 15)
OD (2,4)

Answers

Answer:

A

Step-by-step explanation:

let's try A. 3(3)+2=9+2=11

11=11

So A is right

A 3(3)+2=9+2=1
11=11
Answer = A

HELP QUICK
An architect designs a rectangular flower garden such that the width is exactly​ two-thirds of the length. If 280 feet of antique picket fencing are to be used to enclose the​ garden, find the dimensions of the garden. The length of the garden is ? feet.

Answers

Answer:

84ft

Step-by-step explanation:

w = 2/3(L)

if 280 feet of fencing can enclose the garden,therefore the perimeter is 280 feet

perimeter = 2L + 2W

but W=2/3(L)

therefore, perimeter = 2L + 2(2/3L)

P= 2L + 4/3(L)

P= 10/3(L)

but P= 280

therefore 280= 10/3(L)

L = (3×280)÷10

L= 84 feet

What is one way to compare fractions with unlike denominators? include an example to support your reasoning

Answers

Answer:

Compare two fractions with different numerators and different denominators (e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2). Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions (e.g., by using a visual fraction model).

Step-by-step explanation:

hope this helps

A baker bought 7,500 grams of flour for $19.20. How much did each kilogram of flour cost

Answers

Answer:

7,5 kg = 19,20.  

Step-by-step explanation:

19,20/7,5

= 2,56 $

(2,56 * 7,5 =19,20)

five less than 2 times a number is equal to the sum of the number and 3. What is the number?

Answers

Answer:

Value of Number = 8

Step-by-step explanation:

Consider the equation below;

[tex]If x - " A Number " -\\( 2 * x ) - 5 = x + 3,\\[/tex]

Now using this equation let us solve for x;

[tex]( 2 * x ) - 5 = x + 3 - Take ( 2 * x ) - 2x,\\2x - 5 = x + 3 - Add 5 on Either Side,\\2x = x + 8 - Subtract x From Either Side,\\\\x = 8, ( Solution )\\\\Conclusion ; x = 8[/tex]

Knowing this, we can say;

[tex]Value of Number = 8,\\if x - Value of Number ( Given ),\\\\Solution ; Value of Number = 8[/tex]

The value of unknown number x will be 8.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We have been given a statement as;

"five less than 2 times a number is equal to the sum of the number and 3"

Let the unknown number be x.

So, from the given statement,

2x- 5 = x + 3

Subtract x on both sides;

2x- 5 = x + 3

2x- 5 -x = x + 3 - x

x - 5 = 3

Add 5 on both sides;

x - 5 = 3

x = 8

Therefore, the value of unknown number x will be 8.

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Solve for xxx. 2x^2 - 12x + 18 = 02x 2 −12x+18=02, x, squared, minus, 12, x, plus, 18, equals, 0 x = {}x=x, equals

Answers

Answer:

x = 3 and x = 3

Step-by-step explanation:

The given equation is

2x² - 12x + 18 = 0

Divide both sides by 2:

x² - 6x + 9 = 0

We need two numbers that will add up to -6 and their product is 9.

The two numbers are -3 and -3.

=> x² - 3x - 3x + 9 = 0

x(x - 3) - 3(x - 3) = 0

(x - 3)(x - 3) = 0

x = 3 and x = 3

Identify the coordinates of the vertex of f(x) = (x – 3)2 + 14, and identify whether it's an absolute minimum or absolute maximum.

Which is correct:
A) (–3, 14), absolute maximum
B) (3, 14), absolute minimum
C) (3, 14), absolute maximum
D) (–3, 14), absolute minimum

Answers

Answer:

The answer is option B.

Hope this helps.

Answer:

B

Step-by-step explanation:

Which of the following exponential functions represents the graph below?

Answers

Answer:

the graph corresponds to function "D"  [tex]f(x)=3\,(\frac{1}{5} )^x[/tex]

Step-by-step explanation:

Since the graph shown corresponds to an exponential "decay" (the function decreases as we move from left to right), the base of the exponent has to be a number smaller than 1 (one). So we examine the only two options that give such (options C and D which have fractions as the base - 1/3 and 1/5 respectively)

From there, we analyze which of the two functions satisfies the crossing of the y-axis at (0,3) which is clearly shown in the graph:

We study both:

function C at x = 0 gives:

[tex]f(x)= 5\,(\frac{1}{3})^x\\f(0)=5\,(\frac{1}{3})^0 \\f(0)=5\,(1)\\f(0)=5[/tex]

while function D at x = 0 gives:

[tex]f(x)= 3\,(\frac{1}{5})^x\\f(0)=3\,(\frac{1}{5})^0 \\f(0)=3\,(1)\\f(0)=3[/tex]

Therefore, the graph corresponds to function "D"

A correct option is an option (d)

From the given graph the function is increasing, therefore the base of the exponent must be greater than 1

And the best suited is the first, as it passes through the point,

y = 3

If you substitute x = 0 in the function result you have to give,

y = 3 and intersect the y-axis at that point

So, the required function is [tex]f(x)=3\times (\frac{1}{5} )^x[/tex]

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Adam is taking out a $197,000 mortgage. His bank offers him an APR of 4.45%. He wants to compare monthly payments on a 15- and 30- year mortgage. What is the difference in the two monthly payments.

a) 509.68

b) 365.75

c) 402.58

d) 231.87

Answers

The answer would be A. 509.68

Help, What is the answer?

Answers

Answer:

probably jay z albulm 4:44

Step-by-step explanation:

Help me please I don’t understand

Answers

Answer:

14/11

Step-by-step explanation:

A rational number times a rational number is rational

A rational number is written as a/b

14/11 * 1/2 = 7/11

This is rational

10. Solve for y in the equation -y + 9 = 23.
A.y=-14
B.y = 14
O C. y = 32
D.y=-32

Answers

It is A because you have to divide by a negative one

Answer:

A. y = -14

Step-by-step explanation:

Subtract 9 from its self and from 23 in order to isolate -y

-y + 9 = 23

- 9 -9

0 14

-y is now Isolated.

-y = 14

Generally, when you have a letter representing a number by itself such as -y, it is indicated that therecis always a 1, example -y = -1y, x = 1x, however 3y does not equal 13y or 31y. 3y already has a number in front of it so therefore, there is no need to include the number 1 in front of y.

Because -y is the same as -1y, that is a multiplation representation. -y is the same as -1 x y so the next step is to isolate y from -1. In order to do that, you will need to divide -1 by 1 and 14 by 1. (Remember, (-) (-) = + and (-) (+) = - and (+) (+) = +.)

-y = 14

-1 -1

y = -14

Let θ be an angle in quadrant IV such that sinθ=-3/4. Find the exact values of secθ and cotθ.

Answers

cos2(θ) + sin2(θ) = 1

sec(θ) = 1/cos(θ)

cot(θ) = cos(x)/sin(θ)

 

sin(θ) = -3/4

 

cos2(θ) + sin2(θ) = 1

cos2(θ) = 1 - sin2(θ)

cos2(θ) = 1 - 9/16 = 7/16

cos(θ) = ±√(7/16) = √7/16  (cosine is positive in Q IV)

 

sec(θ) = 1/cos(θ) = 4/√7

 

cot(θ) = cos(θ)/sin(θ) = (4/√7)/(-3/4) = -16√7/21

The exact values of secθ = 4/√7 and cotθ = -16√7/21

What is Trigonometric functions?

Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.

Given that,

sinθ = -3/4

∵sin²(θ) +cos²(θ) = 1

∴cos²(θ) = 1 - sin²(θ)

cos(θ) = √(1 - sin²(θ))

cos²(θ) = √(1 - 9/16 )

cos(θ) = ±√(7/16) = √7/4  (cosine is positive in quadrant IV )

sec(θ) = 1/cos(θ) = 4/√7

∵cot(θ) = cos(θ)/sin(θ)

∴cot(θ)= (4/√7)/(-3/4)

cot(θ) = -16√7/21

The exact values of secθ = 4/√7 and cotθ = -16√7/21

Learn more about Trigonometric functions

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In what form is the following linear equation written?
v-3={(x - 1)
O A. Standard
O B. Point-slope
O C. Rise-run
O D. Slope-intercept

Answers

Answer:

B

Step-by-step explanation:

Point slope is in the form

(y - y1) = m(x - x1)

where x1 and y1 are the coordinate of any point on the line, and m is the slope

The others do not work

Answer:

B.

Step-by-step explanation:

This is the point-slope form:

y - y1 = m(x - 1)      where m = the slope.

Looks like you have a typo in  your equation.

Five sixth-grade classes collected canned food for the local food bank. Each class collected a different number of cans. Use the following clues to determine how many cans were collected in each class.

The five classes that collected cans include two classes with totals in the three hundreds, two classes with totals in the four hundreds, and one class with a total in the five hundreds.
The smallest total was 308 cans.
The range of the total cans collected was 262.
The median number of cans collected was 421.
The total of the two classes in the three hundreds was 706.
The total number of cans collected from all the classes was 2,130 cans.


List the classes from least to greatest.

Answers

Answer:

308, 398, 421, 433, 570

Step-by-step explanation:

To start we know the smallest is 308 cans, so that is the first class.

Next, it says the range is 262. The range is maximum minus the minimum. Since we know the minimum(308), that means 308 + 262 = 570 and 570 is the maximum or the class with most collected cans.

Then, it says the median or the middle number is 421, the middle number in a class is 3. So, the third class collected a total of 421 cans.

After that, it says the two classes in the three hundred, or the first and second class, has a total of 706 cans. So, if we do 706 - 308 we get the second class. Which collected 398 cans.

Finally, it says the total all the class collected is 2130. So, if we add all the values we have know and subtract it from the total of all the class we get the missing class or the fourth class. So, 308 + 398 + 421 + 570 = 1697, and 2130 -1697 = 433. Which the fourth class.

Least to greatest:

308

398

421

433

570

3 over 2 divided by 8 over 3

Answers

Answer:

Step-by-step explanation:

3/2/8/3

=9/16

Answer:

9/16

Step-by-step explanation:

3/2  ÷  8/3

Here, we are trying to divide fractions.

When dividing fractions, you can flip the second fraction, and multiply the fractions together.

Hence, our new expression would be:

3/2*3/8

We can multiply the numerators together and the denominators together.

3*3/2*8

9/16

A gardener has a cylindrical planter that has a diameter of 16 inches and is 2 feet deep. What is the approximate number of cubic feet of potting soil that he will need to fill the planter?
2.79 ft3
6.28 ft3
16.75 ft3
401.92 ft3

Answers

The answer is 16.75 ft3

He will require 2.79 cubic feet of potting soil to fill the planter, which is a rough estimate.

What is the Volume of the Cylinder?

The product of a cylinder's base area and height provides the formula for calculating the cylinder's volume. A cylinder's volume is equal to πr²h cubic units.

Given, A gardener has a cylindrical planter that has a diameter of 16 inches and is 2 feet deep.

From the general formula of volume of cylinder =  πr²h cubic units

in our case

r = 16 / 2 = 8 inches

Since 1 feet = 12 inches

r = = 8/12 feet = 2/3 feet

h = 2 feet

The volume of platter = π * 2/3 * 2/3 *2

The volume of the platter = 2.79 ft³

Therefore, the approximate number of cubic feet of potting soil that he will need to fill the planter is 2.79 ft³.

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PLEASE HELP WILL GIVE BRAINLIEST

Ralph can lay down a floor tile in 5 seconds. Bob can lay down a floor tile in 4 seconds. If both boys work together, how many seconds would it take them to install 450 floor tiles?

Answers

Answer:

1000 seconds

Step-by-step explanation:

You can start by finding the unit rate for each of them to lay down a tile. That is, how many tiles they can lay down in one second. Ralph can lay one down in 1/5 of a second, while Bob takes 1/4. 1/5+1/4=4/20+5/20=9/20 of a tile per second. Dividing 450 by 9/20, you get 1000 seconds. Hope this helps!

What is the range of the function represented by the graph? A. 1 ≤ y ≤ 6 B. all real numbers C. y ≥ 1 D. y ≤ 1

Answers

Answer:

C!

Step-by-step explanation:

So, it's actually very simple!

If you don't know, the domain of a function is the set of x-values that make the equation true. The range, which we are trying to find, is the set of f(x), or y values that are possible.

Now, notice how in the graph, y-values don't go below 1. So there is our limit. There is nothing else limiting the y-values the other way, so its basically a single equality.

y=1 is included in the function, of course, as it goes on y=1.

So, it's [tex]y\geq 1[/tex]

Hope this helps!

Answer:

C

Step-by-step explanation:

the guy above me is right because i got a 100% on my test.

What is the length of the hypotenuse of the triangles


Square of 94cm

Square of 161cm

17cm

23cm

Answers

Answer:

To find the Hypotenuse the Pythagoras theorem is used

h² = a² + b²

h = hypotenuse

a = 15cm

b = 8cm

h = ?

h² = 15² + 8²

h = √225 + 64

h = √289

h = 17cm

The Hypotenuse is 17cm

Hope this helps.

1. Two people share £350 in the ratio 1:6.
Calculate each share.
£..........£​

Answers

______________________________

Let the shares be X and 6x

X+6x=350

or,7x=350

or,X=350/7

X=50

Replacing value,

6x=6*50=300

So one person gets $ 50

Another person gets$300

Hope it helps

Good luck on your assignment

___________________________

Answer:

1/7 x 350 = £ 50

6/7 x 350 = £ 300

Do I always simplify a question before doing the operations? For example, do I always simplify a fraction before doing the operations?
For example for this question:
(8-4√2) /2 + ( 6+4√2)/ 2

I had to simplify the fraction by factoring, cancelling and then do the operation or I got it wrong.

Answers

Answer:

see below

Step-by-step explanation:

it will be easier to do calculations later if you simplify first

in this case you did the best and shortest way

you could rewrite

(8-4√2) /2 + ( 6+4√2)/ 2 as

4-2[tex]\sqrt{2}[/tex]  + 3 + 2[tex]\sqrt{2}[/tex] and then 7 + 4[tex]\sqrt2[/tex]

What's the common difference of the following arithmetic sequence?
11, 17, 23, 29, 35, 41

A) 6
B) 5
C) 7
D) 8

Answers

Answer:

Step-by-step explanation:

6

Take the higher number and subtract the next lower value. It will tell you the difference.

17-11=6

Answer:

A) 6

Step-by-step explanation:

11+6=1717+6=2323+6=2929+6=3535+6=41

Level 1
R.18 Identify equivalent linear expressions II KAR
Select the expressions that are equivalent to -7(75 + 1).
75-7
7(-75 + 1)
-7(-5 + 8 + 1)
-7s - 49

Answers

The answer is -7 u welcome

What is the length of L

Answers

Answer:

Assuming the height is still 1 your answer would be 700

Step-by-step explanation:

which linear inequality is represented by the graph?​

Answers

Answer:

B. y ≥ 1/3 x - 1  

Step-by-step explanation:

y =  mx + b

b = - 1,

m = rise/ run = 1/3

y = 1/3 x - 1  is equation of the line.

Shading is over the line, so

y ≥ 1/3 x - 1  

The answer to this question is B.

Can someone please help me?

Answers

Idk try Socratic it’s low key
I’m dumb so I have no idea

the lunch lady has 5 pounds of lasagna. If she makes 1/4-pound servings using this amount of lasagna, how many servings can she make?

Answers

Answer:

20 servings

Step-by-step explanation:

Four quarters per pound

5(4)=20

Answer:

she can make 20 servings

Step-by-step explanation:

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The main reason is the destruction of the areas (like Asbury Woodlands) that it uses for its natural breeding grounds. Bachman's warblers prefer thickly wooded swamps and wet thickets in heavy, full-grown forests where they can build their nests and feed on insects.This does not mean that we cannot build a community theater. A similar situation recently arose in Cape Pristo, North Carolina. Nobel Hotels canceled its plans to build a high-rise structure when it became known that the roseate tern, another endangered bird, was living in the suggested location. Nobel Hotels put up a new building several miles down the beach from the original location, and the roseate tern kept its habitat.Our community has forever prided itself on caring for our natural surroundings. The city council has promised that the proposed theater will be "highly tasteful" and that the structure will "complement the spirit of our town."The city council's honorable concern for the endangered Bachman's warbler would smooth the feathers of many voters. With their help and the support of our townspeople, future generations will appreciate the beauty of this little bird.Sincerely,Redmond HarrisA.) The author offers additional information to the readers by comparing the community theater to the Nobel Hotels.B.) The author restates his claim that the building plan would destroy the breeding ground for the Bachman's warbler.C.) The author suggests that a better solution would be to build a Nobel Hotel as did Cape Pristo, North Carolina.D.) The author uses an example to point out how an alternative could satisfy both sides of the argument. 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It increased the political influence of corporations.D. It brought an end to the Progressive Era. Triangle TRS is rotated about point X, resulting in triangle BAC. Triangle T R S is rotated about point X to form triangle B A C. The lengths of sides T R and A B are congruent, the lengths of sides A C and R S are congruent, and the lengths of sides T S and B C are congruent. If AB = 10 ft, AC = 14 ft, and BC = 20 ft, what is RS? 10 ft 14 ft 20 ft 24 ft The stock solution of hydrochloric acid is 12.0M HCI. If the teacher starts with 130 ml of this concentrated acid, what volume of 3.0M HCI can be prepared? Why do you think that states dropped voting requirements for white men in the Early Republic? Why did those same states add new restrictions on women and African American men? sarah wants to open up her own coffee shop. It costs her $3 to make each cup of coffee, plus she has to pay a $24 renter's fee for her shop. She sells the coffee for $5 per cup. 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