Find the value of x in the triangle shown below.

The height on the wall a 15-foot ladder will reach if it is placed 3. 5 feet from the base of a wall is 14.6 feet.

Using Pythagoras theorem,

c² = a² + b²

where

c = hypotenuse

a and b are the other two legs

The ladder length represent the hypotenuse sides

The distance of the ladder to the base of the wall is one of the leg.

The height on the wall the 15 ft ladder reach is the other leg

Therefore,

a² = 15² - 3.5²

a² = 225 - 12.25

a = √212.75

a = 14.5859521458

a ≈ 14.6 feet

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Answer:

C

Step-by-step explanation:

just took the test trust cuties

1. You can solve a system of equations using graphs when there are no decimals or fractions in the equations. This can allow you to almost precisely plot a graph, and determine the values of the variables.

2. You can use the substitution method when one (or both) of the equations is already solved for one of the variables.

3. Elimination is best used when the equations are written in the form Ax + B = C, and also when the coefficients are values not equal to 1.

Answer:

4

Step-by-step explanation:

6 - 2 = 4

Answer:

4

Step-by-step explanation:

Ciara is not my friend but she's my sister

Answer:

first blank : 6

second blank : 5

Step-by-step explanation:

Answer:

The distance between these 2 points is 13.

Step-by-step explanation:

Picture the 2 points on a graph as a right triangle, where the hypotenuse of that right triangle is the distance between the points. It is very easy to find the length of the legs of that triangle, and you can use those legs to calculate the length of the hypotenuse.

First, find the vertical distance, or the distance between the y-coordinates. Either just look at a graph and count, or subtract them.

[tex]-6-6=-12[/tex]

Distance is an absolute value from 0, so -12 is the same as 12.

Next, find the horizontal distance between the x-coordinates.

[tex]1--4=5[/tex]

Now, we have the length of the legs, 5 and 12. Use the pythagorean theorem to find the length of the hypotenuse:

[tex]a^2+b^2=c^2\\5^2+12^2=c^2\\25+144=c^2\\c^2=169\\c=\sqrt{169}\\c=13[/tex]

The distance between these 2 points is 13.

Answer:

  x = 100

Step-by-step explanation:

The larger area is ...

  A = LW

  A = (300+x)(200+x) = x^2 +500x +60,000

The smaller area is ...

  A = (200)(300) = 60,000

We want the larger area to be double the smaller area, so ...

  x^2 +500x +60,000 = 2(60,000)

  x^2 +500x = 60,000 . . . . . . . . . . . . subtract 60,000

  x^2 +500x + 62500 = 122500 . . . add 250^2 to complete the square

  (x +250)^2 = 350^2

We're interested in the positive solution, so we can take the positive square root to find it:

  x +250 = 350

  x = 100 . . . . . . . . . subtract 250

_____

The graph shows the quadratic in the form x^2 +500x -60,000. That is, we're looking for zeros (x-intercepts) of the function.

Answer:

 448 2/3

Step-by-step explanation:

To find miles in 1 hour (the unit rate), divide miles by hours.

  (1346 mi)/(3 h) = 448 2/3 mi/h

The unit rate is 448 2/3 miles per hour.

[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]

Here we've been given,

The standard formula for unit rate is given by,

[tex]:\implies\sf{Unit \: rate = \frac{miles}{hours} } \\ \\ :\implies\sf{Unit \: rate = \frac{1346 \: miles}{3 \: hours} } \\ \\ :\implies\sf{Unit \: rate = 448 \frac{2}{3} \: \frac{miles}{hour} }[/tex]

Answer:

A)

Step-by-step explanation:

3x-2y=5

2y=3x-5

y=3/2x-5/2

y = 3/2x + -5/2

hope this helps!

Step-by-step explanation:

A

the answers are already right in picture. we only need to count.

maybe the problem is understanding a cube ? when it says here "the edge of each cube is 1 1/2 in long", then it means that every side length of a cube is the same (length, width, height). it is the principle of a 2-dimensional square in 3 dimensions.

and "prism" is simply another word for "box".

so, we see that there are 5 cubes fitting along the length of the prism.

so, the length of the prism is

5× 1 1/2 in = 5× 3/2 = 15/2 = 7 1/2 in.

3 cubes are the width of the prism.

so, the width of the prism is

3× 1 1/2 in = 3× 3/2 = 9/2 = 4 1/2 in.

B

we know the height of the prism is 3/4 ft.

1 ft = 12 in

3/4 ft = 3/4 × 12 = (3×12)/4 = 36/4 = 9 in

how many layers of cubes fit into 9 in ?

well, that is what we use division for :

9 ÷ 1 1/2

this is the same as

9 / 3/2 = (9/1) / (3/2)

to divide by a fraction is the same as to multiply with the upside-down fraction. therefore :

(9/1) × (2/3) = (9×2) / (1×3) = 18/3 = 6

so, 6 layers of the cubes fit into the prism.

Answer:

20%

Step-by-step explanation:

100%-80%=20%

....... .

Answer:

3 8/15

Step-by-step explanation:

2 1/5 + 1 1/3 = 3 8/15

Answer:

w = 5, x = 7, y = 6, z = 12

Step-by-step explanation:

Evaluate each row by solving the corresponding equation, that is

row 1

4w = 20 ( divide both sides by 4 )

w = 5

row 2

2w + 2x = 24 ( substitute w = 5 )

2(5) + 2x = 24

10 + 2x = 24 ( subtract 10 from both sides )

2x = 14 ( divide both sides by 2 )

x = 7

row 3

w + 2x + y = 25 , that is

5 + 2(7) + y = 25

5 + 14 + y = 25

19 + y = 25 ( subtract 19 from both sides )

y = 6

row 4

w + x + y + z = 30 , that is

5 + 7 + 6 + z = 30

18 + z = 30 ( subtract 18 from both sides )

z = 12

Answer:

Step-by-step explanation:

The answer is 38 miles

Answer:

62.5 %

Step-by-step explanation:

you have to subtract 32-12, which equals 20

then divide 20 by the original amount (20/32)

20/32= .625, then you have to multiply to get the final answer...hope this helped!

Step-by-step explanation:The second way of approximating a square root is to use a calculator. Most calculators have a radical sign on them. To find the square root of a number, we enter the radical sign, then the value and press enter. This will give us a decimal approximation of the square root.

Answer:uh 2 divide 1.19 and add 12 i think

Step-by-step explanation:

The fraction 8/3 of the chocolate bars would each of you get.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

You have 4/3 chocolate bars.

You want to give 1/2 of the chocolate bars to your friend.

To find the fraction of the chocolate bars would each of you get:

Use division operation,

4/3 ÷ 1/2

Rearranging to multiplication term,

4/3 x 2/1

= 8/3

Therefore, 8/3  fraction of the chocolate bars would each of you get.

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Answer:

Option C) 5/8 is correct.

For explanation, Refer to the attachment.

[tex]\Large\textsf{Hope \: It \: Helped}[/tex]

Answer:

C

Step-by-step explanation:

Substitute the values for v and w into the expression.

[tex]\frac{1}{2}[/tex] + ([tex]\frac{3}{4}[/tex] - [tex]\frac{5}{8}[/tex] )

= [tex]\frac{1}{2}[/tex] + ([tex]\frac{6}{8}[/tex] - [tex]\frac{5}{8}[/tex] )

= [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{8}[/tex]

= [tex]\frac{4}{8}[/tex] + [tex]\frac{1}{8}[/tex]

= [tex]\frac{5}{8}[/tex] → C

Answer:

Sorry

Step-by-step explanation:

Answer:

you want me to round it I will edit it and show you

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

The proportion is solved and the number of muffins is M = 16

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the value of A is

The ratio of cookies to muffins made at The Berry Bakery is 3 : 4

Now , the number of cookies is = 12

So , the proportion is

3 / 4 = 12 / M

Multiply by M on both sides , we get

( 3/4 )M = 12

Divide by 3/4 on both sides , we get

M = 16 muffins

Hence , the number of muffins is 16

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Answer:

C, 11

Step-by-step explanation:

Answer:

21.8

Step-by-step explanation:

Answer:

-8-60p

Step-by-step explanation:

Step-by-step explanation:

there are some things missing or have been mistyped.

I assume the following basic expression :

(2 - 4(5p + 1))×2 - 4(5p + 1)

4 - 8(5p + 1) - 20p - 4

-8(5p + 1) - 20p

-40p - 8 - 20p

-60p - 8

Answer:

yes, you can graph parametric equations there. (It's called Desmos, by the way, not “Demos.”) Click on the triple-bar symbol at the top left, which takes you to a drop-down menu. Scroll down that menu until you see the entries for parametric equations. Hope this helps!

Step-by-step explanation:

pls say thx

Using the normal distribution, it is found that the area of the shaded region is of 0.7823.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

In this problem:

The shaded region is the region to the left of 64.2, hence it's area is the p-value of Z when X = 64.2.

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

[tex]Z = \frac{64.2 - 59}{6.7}[/tex]

[tex]Z = 0.7761[/tex]

[tex]Z = 0.7761[/tex] has a p-value of 0.7823.

The area of the shaded region is of 0.7823.

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Answer:

26isthemedian

Step-by-step explanation: