Find the distance from A to C.

Find The Distance From A To C.

Answers

Answer 1

Answer:

√74

Step-by-step explanation:

a^2 + b^2 = c^2

7^2 + 5^2 = c^2

49 + 25 = c^2

74 = c^2

√74 = √c^2


Related Questions

An initial deposit of $5325 was made into an account that compounds interest semi-annually. No other deposits were made. At the end of 13 years, the balance in the account had doubled. Find the interest rate on this account.

Answers

Answer: R = 5.404% per year

Formula: Where: r = n[(A/P)^1/nt - 1]

which statement best describes the function below?

f(x)=2x^2-3x+1

A.It is a one-to-one function.
B.It fails the vertical line function.
C.It is a many-to-one function.
D.It is not a function.

Answers

it is a parabola, there are two x values (symmetrical across the line x=-b/2a)for the same y value, so it is a many-to-one function. 

f(x)=2x^2-3x+1

the graph of the function is attached with the answer

As we can see that equation is quadratic and its graph is a parabola facing upward.

As we can see it passes the Vertical line test

As it passes the Vertical line test , So it is a function

And two values of x has one value of y

So it is a many to one function.


1.66666666667 rounded to the tenth

Answers

Hey there! :D

The tenth place is where the first 6 is, so:

1.666666666667= 

1.7 because 6>5

I hope this helps!
~kaikers
To round a number to the tenth, any number greater than or equal to 5 will round up and anything less than 5 round down.
So, the number after the tenths place is a 6 which is greater than 5, so you would round up.
So, your answer would be 1.7

Let d represent the number of degrees in one angle of a regular polygon, and n represent the number of sides of the polygon to tessellate. which equation can be used to determine if the polygon will tessellate? 360° · n = d 360° · d = n 360° ÷ d = n n + d = 360° brainly

Answers

To determine if a polygon can tessellate, you must see if the measure of an interior angle will evenly divide into 360.  Thus the formula you're looking for is 360/d.

Answer:

360°/d = kn.

Step-by-step explanation:

To know if a regular polygon can tessellate, we divide 360 by the interior angle of the polygon and the result needs to be an integer, but not in all cases you get the number of sides of the polygon, you get a multiple of the number of sides. So, none of the options are correct, the correct would be

360/d = kn, where k is an integer.

△BQH∼△SFN
What is FN ?


Answers

17/18.2=.934 x/18=.934 18*.934 = 16.812
Or 16.81 or 16.8 simplified

Answer:

23.4 in

Step-by-step explanation:

The only side of SFN we know the measurement of is FS, which is 18.2.  We see from the similarity statement that FS corresponds to QB, which is 14.  This gives us the ratio

14/18.2.

From the similarity statement, we see that FN corresponds to QH; this gives us the ratio

18/x

Together this gives us the proportion

14/18.2 = 18/x

Cross multiplying gives us

14(x) = 18.2(18)

14x = 327.6

Divide each side by 14:

14x/14 = 327.6/14

x = 23.4

The base of an isosceles triangle is 70 centimeters long. The altitude from the vertex angle to the base is 75 centimeters long. Find, to the nearest whole degree, the measure of the base angles of this triangle.

Answers

Constructing a triangle for the given data, we get the triangle as shown in the image below. Since the triangle is an isosceles triangle, the two legs AC and BC will be equal in length. Since the length of the sides is equal, the opposite angles will also be equal. So the base angles for the triangle are equal.

We get two similar right angled triangles ADC and BDC. For triangle ADC, AD = 35cm, DC = 75cm. Tangent of angle DAC can be written as:

[tex]tan(DAC)= \frac{CD}{DA} \\ \\ tan(DAC)= \frac{75}{35}= \frac{15}{7} [/tex]

Angle DAC is equal to tangent inverse of 15/7 which equals 65 degrees, rounded of to nearest whole degree.

Angle DBC = DAC = 65 degrees

Thus the base angles for the given isosceles triangle will be 65 degrees each, rounded of to nearest whole degree. 


which pair of ratios form a true proportion

a) 1/2=6/10
b) 6/8=5/20
c) 3/5=6/10
d) 3/9=7/80

Answers

Hey there! 

I'd say your answer would most likely be Option C

Because you can multiply the [tex] \frac{3}{5} [/tex] by [tex]2[/tex] (numerator and denominator by [tex]2[/tex] ) to get the fraction [tex] \frac{6}{10} [/tex]

[tex] \frac{3(2)}{5(2)} = 2(3) = 6 = 5(2)= 10 = \frac{6}{10} [/tex]

Good luck on your assignment and enjoy your day! 

~[tex]LoveYourselfFirst:)[/tex]

A cylindrical container holding sugar has a height of 15 inches and a diameter of 4 inches. Which of the following is the closest to the volume of the sugar container?

A.
707 cubic inches
B.
94 cubic inches
C.
754 cubic inches
D.
188 cubic inches

Answers

v=(h)(pi)(r^2)
say pi=3.14
h=15
d/2=r=4/2=2

so
v=(15)(3.14)(2)^2
v=(15)(3.14)(4)
v=(60)(3.14)
v=188.4


so answer is D

Using the formula V = πr²h, the volume of the cylinder is calculated as 188.4954 cubic inches, which can be rounded to 188 cubic inches, corresponding to answer choice D.

To calculate the volume of the cylindrical container holding sugar, we can use the formula for the volume of a cylinder, which is V = πr²h. Here, π is a constant (approximately 3.14159), r is the radius of the cylinder, and h is the height of the cylinder.

The diameter of the container is given as 4 inches, so the radius (r) is half of the diameter, which is 2 inches. The height (h) is given as 15 inches. Plugging these values into the volume formula, we get:

V = π(2 inches)²(15 inches)
= π(4 square inches)(15 inches)
= 60π cubic inches

Using 3.14159 as the value for π, the volume calculates to:

V = 60 * 3.14159 cubic inches = 188.4954 cubic inches

So, the closest estimate to the volume of the sugar container would be 188 cubic inches, which corresponds to answer choice D.

8j -k+148j−k+148, j, minus, k, plus, 14 when j=0.25j=0.25j, equals, 0, point, 25 and k=1k=1

Answers

It looks like you want to evaluate
.. 8j -k +14
for (j, k) = (0.25, 1).

Put the numbers where the letters are. If you cannot do the math, let your calculator do it.
.. 8*0.25 -1 +14
.. = 2 -1 +14
.. = 1 +14
.. = 15

The value of the expression is 15 at (j, k) = (0.25, 1).

Answer:

15. It was right for me, not sure for anyone else

Step-by-step explanation:

6 cards are drawn from a standard deck without replacement how many different 6 card hands are possible if the drawing is done without replacement

Answers

=52*51*50*49*48*47 divided by 1*2*3*4*5*6

14658134400 / 720

20358520

A theater charges $25 for adults and $15 for children. When the price of a child's ticket increases to $18 next year,the cost for a dance club to attend the theater will increase from $450 to $480. Write and solve a system of equations to find how many adults are in the dance club.

Answers

Given:
tickets for adults - 25
tickets for kids - 15
initial cost - 450
increase in tickets for kids to - 18
cost after increase - 480

let x be number of adults and y be number of kids

25x + 15y = 450
25x + 18y = 480

subtraction:

25x + 15y = 450
-25x - 18y = -480
 0      - 3y = - 30
         y = -30/-3
         y = 10

There are 10 kids.

25x + 15y = 450
25x + 15(10) = 450
25x + 150 = 450
25x = 450 - 150
25x = 300
x = 300/25
x = 12

There are 12 adults.

All in all there are 12 adults and 10 kids.

to check:
25x + 15y = 450
25(12) + 15(10) = 450
300 + 150 = 450
450 = 450

25x + 18y = 480
25(12) + 18(10) = 480
300 + 180 = 480
480 = 480

What is the exact value of the trigonometric expression in simplest form? 2 cos(3π/4)−4 sin(7π/6)

Answers

2−√2 This is the answer I found. I am doing this for something else as well.

What is the exact value of the trigonometric expression in simplest form? 2 cos(3π/4)−4 sin(7π/6)

[tex] 2 cos(\frac{3\pi}{4})-4sin(\frac{7\pi}{6}) [/tex]

Let us find the value of cos([tex] \frac{3\pi}{4} [/tex]) and [tex] sin(\frac{7\pi}{6} ) [/tex]

[tex] cos(\frac{3\pi}{4} )=cos(\pi -\frac{\pi}{4} ) [/tex]

The angle [tex] \pi -\frac{\pi}{4} [/tex] lies in second quadrant.

So, [tex] cos(\frac{3\pi}{4} )=-cos(\frac{\pi}{4} ) =-\frac{1}{\sqrt{2}} [/tex]

[tex] So, cos(\frac{3\pi}{4} )=-\frac{1}{\sqrt{2}} [/tex]

Now, Let us find the value of [tex] sin(\frac{7\pi}{6} ) [/tex]

[tex] sin(\frac{7\pi}{6} ) =sin(\pi +\frac{\pi}{6} )=-sin(\frac{\pi}{6} ) =\frac{-1}{2} [/tex]

[tex] sin(\frac{7\pi}{6} ) =\frac{-1}{2} [/tex]

[tex] 2 cos(\frac{3\pi}{4})-4sin(\frac{7\pi}{6}) [/tex]=2*[tex] \frac{-1}{\sqrt{2}} [/tex]-4*[tex] \frac{-1}{2} [/tex]

=[tex] \frac{-2}{\sqrt{2}} +\frac{4}{2} [/tex]

=[tex] \frac{-2\sqrt{2}}{2} +\frac{4}{2} [/tex]

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

=[tex] -\sqrt{2} +2 [/tex]

=[tex] 2-\sqrt{2} [/tex]

[tex] 2 cos(\frac{3\pi}{4})-4sin(\frac{7\pi}{6})=2-\sqrt{2} [/tex]

Sue wakes up at 7:45
a.m. and jogs for 40 minutes. she then spends 45 minutes dressing for school before she catches the bus. at what time does sue get on the bus?

Answers

7:45 plus 40 mins = 8:25
8:25 plus 45 mins = 9:10
She catches it at 9:10

the length of a rectangular prism is 4 feet, and the width is 3 feet. The volume of the prism is 9 cubic feet. In inches, what is the height of the prism?
A) 6 inches
B) 8 inches
C) 9 inches
D) 10 inches

Answers

The formula for volume of a rectangular prism is V = lwh.  Plugging in what we have:
9 = 4(3)(h)
9 = 12h
Now we cancel the 12 by dividing:
9/12 = 12h/12
3/4 = h
However, this is in feet.  We must convert to inches:
3/4 (12) = 3/4(12/1) = 36/4 = 9 inches.

Answer:

C 9 inches

Step-by-step explanation:

Express 8.12 as a mixed number.

Answers

8.12 as a mixed number is 203/25
Hey there!

Let's keep our goal in mind. A mixed number is a whole number and a fraction together. SInce we already have our whole number, 8, we need to make .12 a fraction.

If we look at .12, we see that that 12 is in the hundredths place. When you go to whole numbers, you have tens, hundreds, and so on. When you go to fractions, it goes tenths, hundredths and so on.

That means that since the 12 is in the hundredths, it's 12 hundredths, or 12/100. 

That means our mixed number is 8 12/100


Hope this helps

When a standard six sided die is rolled, what is the probability of getting a 9?

Answers

It's not possible a standard die only has the numbers 1-6

How do you make 3ln2+2ln4 a single logarithm?

Answers

3ln 2 = ln 2³ = ln 8
2ln 4 = ln 4² = ln 16
Sum means it is a product:
ln (8 × 16) = ln 128

Or ln (2³×4²)

You can do on this way 
3ln2 + 2ln4 = ln 2^3 + ln 4^2 = ln 8 + ln 16 = ln 128
 

Given that f(x) = x2 − 3x + 3 and g(x) = the quantity of x minus one, over four , solve for f(g(x)) when x = 5. (1 point)

Answers

First we write both functions:
 f (x) = x ^ 2 - 3x + 3
 g (x) = ((x-1) / (4))
 We now make the composition of functions:
 f (g (x)) = ((x-1) / (4)) ^ 2 - 3 (((x-1) / (4))) + 3
 We now evaluate for x = 5:
 f (g (5)) = ((5-1) / (4)) ^ 2 - 3 (((5-1) / (4))) + 3
 f (g (5)) = 1
 Answer:
 f (g (5)) = 1

Answer:

The answer is 1

Step-by-step explanation:

A triangle has an area of 30 cm². The base and height are scaled by a factor of 4.

What is the area of the resulting triangle?



Enter your answer in the box.

Answers

let
b--------------> the base of triangle
h--------------> the height of triangle
Area A1=b*h/2--------------- > 30 cm²

if the base and height are scaled by a factor of 4
we have that
b=4b
h=4h
A2=(4b)*(4h)/2--------> 16(b*h/2)=16A1
A2=16A1---------> 16*30=480 cm²

the area of resulting triangle is 480 cm² (16 times the original area)

Answer:

480cm². Verified by correct test results.

Which set does not contain –3?

Answers

A real number is any number that is rational, including integers and natural numbers. A rational number is any number that can be written as a ratio or isn't a square root of a number. An integer is any whole number (not including fractions) that exists, negative or positive. A whole number is the same as an integer except it only includes positive numbers. 
Since a set of whole numbers wouldn't be able to include any negative numbers, your answer would be your fourth option. 
Hope this helped you out! :-)

the set of all whole numbers

If BE is parallel to CD, the. The value of x is:

A. 10

B. 6

C. 9

Answers

Corresponding sides have the same ratio, so
  x/15 = 12/(12+8) = 3/5
  x = 15*3/5
  x = 9

Which stem-and-leaf plot represents the data 80, 81, 91, 92, 66, 55, 54, 30, 55, 79, 78?

Answers

Convert the given data into ascending order.
30,54,55,55,66,78,79,80,81,91,92
Here the minimum value is 30 and maximum is 92.
Total counts=11
Now plot the data.

Stem | Leaf
3       |  0
5       | 4 5 5
6       | 6
7       | 8 9 
8       | 0 1
9       | 1 2

This is the required stem leaf plot.

Answer:The answer is below Hope this help and tthanjs for answer please like and vote excellent thanks and have a good day.

Step-by-step explanation

  3      0

  4  

   5      455

    6     6

    7     89  

    8  01      9   12

Write an numerical expression to show the product of the difference of 12 and 4 and the sum of 3 and 2.

Answers

Answer: (12 - 4)(3 + 2)

Product ⇒ Multiplication
Difference ⇒ Subtraction
Sum ⇒ Addition

Four years ago, Tom’s age was 3/4 of the age he will be in 6 years. How old is he now?

Answers

22 years old I believe

Find the retail price of a backpack that has a wholesale price of $25 and is marked up 40%. Multiply $25 and 40% in decimal form to find the markup amount. 25(0.40) = $10 Add the wholesale price to the markup amount. What is the selling price? $10 $15 $35 $65

Answers

$35 is your answer, just do 25(0.40) which gives you 10 so add that to your original 25+10=35

Answer:

35   35          35             35

Step-by-step explanation:

it 35

Noah was asked to find the median of the following numbers.


115, 109, 117, 136, 127, 131


Noah’s work is shown below.


109, 115, 117, 127, 131, 136


mc006-1.jpg


What error, if any, did Noah make?


A)He forgot to put the numbers in order first.


B)He crossed off the high/low number pairs incorrectly.


C)He left out a number when putting the numbers in order.


D)He did not make any error.

Answers

D. Noah didn't make any error.

1. he makes the numbers in order
2. he didn't cross off the high/low number pairs incorrectly
3. he didn't leave out a number

A baker used the equation y = kx to find how many cupcakes he needs to fill 22 identical boxes. He found that he would need 176 cupcakes. How many cupcakes fit into each box?

Answers

8 cupcakes. 176/22 = 8.

PLEASE HELP!!
is it right??

Answers

You did good, it IS correct.

You want to draw an enlargement of a design that is printed on a card that is 4 in. by 5 in. You will be drawing this design on a piece of paper that is 8one half in. by 11 in. What are the dimensions of the largest complete enlargement you can make?

Answers

Answer:

The dimensions are

[tex]8\frac{1}{2}\ in[/tex]  

[tex]10\frac{5}{8}\ in[/tex]

Step-by-step explanation:

we know that

If two figures are similar, then the scale factor is the ratio of its corresponding sides

step 1

Divide [tex]8\frac{1}{2}[/tex] by [tex]4[/tex]

[tex]8\frac{1}{2}=\frac{8*2+1}{2}=\frac{17}{2}\ in[/tex]

so

[tex]\frac{17}{2}/4=2.125[/tex]

step 2

Divide [tex]11[/tex] by [tex]5[/tex]

so

[tex]\frac{11}{5}=2.2[/tex]

step 3

Find the largest complete enlargement

The scale factor is the smaller of the two previous values

so

The scale factor is [tex]2.125[/tex]

The dimensions are

[tex]4*2.125=8.5=8\frac{1}{2}\ in[/tex]  

[tex]5*2.125=10.625=10\frac{5}{8}\ in[/tex]

Answer:

8 1/2 in. by 10 5/8 in.

Step-by-step explanation:

Tell whether x and y show direct variation 5y=x

Answers

I believe x and y in the equation show a direct variation
Direct variation is the relationship between variables such that increase in one variable causes an increase in the other variable and vicevarsa.
In this case, y is directly proportional to x where 5 is a constant
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