Need help finding the missing length to the attached triangle.

Answer:

5/8

Step-by-step explanation:

The value of the expression is 8/15

An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation.

Given an expression, (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/225)

The expression is in the form of (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/n²)

We know, (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/n²) = (n+1)/2n

Here, n = 15.

So, (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/225) = (15+1)/(2.15) = 16/30

= 8/15

Hence, The value of the expression is 8/15

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Answer:

Harry earns 26 and Hamish earns 20

Step-by-step explanation:

The computation of the amount earned by each one of them is shown below:

Let us assume the hairy be Y

And, the Hamish be M

It is given that Harry earns a dollar i.e more than 5/4

And, it is $2 less than  7/5

So, the equation would be

y = 1.25m + 1  ...........................(i)

And,

y= 1.4m -2  .............................(ii)

Now equal both the equations

1.25m + 1 = 1.4m - 2

3 = 0.15m

So, m = 20

Now put the values of m in any of the above equation to find out the value of Y

Y = 1.25m + 1

= 1.25 (20) + 1

= 26

Answer:

-47

Step-by-step explanation:

Step 1: Factor GCF

-6(x² - 6x - 36) = 0

Step 2: Divide by -6 on both sides

x² - 6x - 36 = 0

Step 3: Isolate x's

x² - 6x = 36

Step 4: Complete the Square

x² - 6x + 9 = 36 + 9

(x - 3)² = 45

Step 5: Move everything to one side

(x - 3)² - 45 = 0

So, a = 1, b = -3, c = -45

1 - 3 - 45 = -47

=======================================================

Work Shown:

5 digits = 1 second

50 digits = 10 seconds (multiply both sides by 10)

At the end of 10 seconds, he has written 50 digits.

The first 9 digits (1 through 9) are single digits. After writing them, Steve has 50-9 = 41 digits left.

41/2 = 20 remainder 1. So this means that he wrote 20 additional two-digit numbers after that 1 through 9 block of single digit numbers. Those two-digit numbers are 10 through 29. The last digit he writes is 3

So the last two digits he wrote was 9 and 3

Add them up get 9+3 = 12

Answer:

12.

Step-by-step explanation:

If he writes 5 digits a second, then in 10 seconds he will write 50 digits:

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3

9 + 3 = 12

Hope this help!

To prove that Triangles PQR and TSR are similar triangles, the following are the complete two-column proof stating the statements with their reasons:

S1: QR is perpendicular to PT

R1: Given

S2: <QRP and <SRT are right angles

R2: Definition of perpendicular

S3: <QPR = <STR

R3: Given

S4: <QRP = <SRT

R4: All right angles are congruent

S5: Triangle PQR is similar to triangle TSR

R5: AA Similarity Theorem

Therefore, to prove that Triangles PQR and TSR are similar triangles, the following are the complete two-column proof statimg the statements with their reasons:

S1: QR is perpendicular to PT

R1: Given

S2: <QRP and <SRT are right angles

R2: Definition of perpendicular

S3: <QPR = <STR

R3: Given

S4: <QRP = <SRT

R4: All right angles are congruent

S5: Triangle PQR is similar to triangle TSR

R5: AA Similarity Theorem

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Answer:

Step-by-step explanation:

Answer:

y= 0.74x

0.74 (1500) = 1,110 euros

Step-by-step explanation:

Hi, to answer this question we have to write an equation with the information given:

Since: 1 US dollar = 0.74 Euros

To convert x US dollars to Euros we have to multiply it by 0.74:

y= 0.74x

Where:

y = value in EUROS

x = value in US dollars

For 1500:

y = 0.74 (1500) = 1,110 euros

Feel free to ask for more if needed or if you did not understand something.

Answer:x − 3 y = − 36

Step-by-step explanation:

Answer: The initial form is called slope intercept form// and the equation in standard form is 3y=37

Step-by-step explanation:

standard form = ax+by=c so you basically just have to take that and put it into the formula

Hope this helps

Answer: 7.65 ft3

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a triangular prism = base area x height

Since:

Area of a triangle (base) = side length x height  

Replacing with the values given:

A= (2 x 1.7 )/2 = 1.7 ft2

Back with the volume formula:

V = base area x height

Replacing with the values given:

V=1.7 x 4.5 =7.65 ft3

Answer:

The answer that you are looking for is basically y = 7/6x + any number besides 4.

Step-by-step explanation:

So, two parallel lines are two lines that will never intersect. To have that, both of the lines have to have the same exact slope. But they cannot have the same y-intercept because that would change it from parallel to infinite solutions.

I hope that I helped.

Answer:

y = 7/6x + any number but not 4

ERROR

Answer:

60°

Step-by-step explanation:

DISCLAIMER:

the triangle is the pic is for representation purposes only.

Or in other words, we don't know what kind of a triangle is given so I just randomly draw an Acute triangle.

Anyway, if you have any questions about the way I solved it, don't hesitate to ask :)

Answer:

For the first question, there is a 39% chance for only boys and a 61% chance for only girls. For the second one it is, about 136 groups.

Step-by-step explanation:

100: 224 = 61:x → 61/100 = x/224

100x = 13664

x = 136.64 → 136 groups (You can't round up if you don't have enough people)

Hope this helped!

Answer: 39% chance for only boys and a 61% chance for only girls. For the second one it is, about 136 groups.

Step-by-step explanation:

:) The other answer is correct too! But just for clarification! :)

Answer:

sin(theta) = a / c csc(theta) = 1 / sin(theta) = c / a

cos(theta) = b / c sec(theta) = 1 / cos(theta) = c / b

tan(theta) = sin(theta) / cos(theta) = a / b cot(theta) = 1/ tan(theta) = b / a

Step-by-step explanation:

Answer:

sin(theta) = a / c csc(theta) = 1 / sin(theta) = c / a

cos(theta) = b / c sec(theta) = 1 / cos(theta) = c / b

tan(theta) = sin(theta) / cos(theta) = a / b cot(theta) = 1/ tan(theta) = b / a

Answer:

Domain: all real numbers

Range: all real numbers

Step-by-step explanation:

There is no restriction on the variable x, so the domain is all reals.

Similarly, the range is all reals as the graph of this function is a line that is neither vertical nor horizontal.

Answer:

[Distance to the Horizon]^2 =Height of the skydiver x Diameter of the Earth

D^2 = 1.4 x 7918

D^2 = 11,085.2

D = Sqrt(11,085.2)

D = ~ 105.28628......miles - Distance to Horizon.

Step-by-step explanation:

Answer:

284.4 I took the test ;)

Answer:

26 <t+2

Step-by-step explanation:

The volume has to be louder than 26 so the inequaltiy sign should be an x is greater than sign and the intervals increase by 2 so you can add 2 to each x.

Hope this helps!

Answer:

-2a+b

Step-by-step explanation:

Answer:

solution,

[tex](a + 2b) - (3a + b) \\ = a + 2b - 3a - b[/tex]

Collect like terms

[tex] = a - 3a + 2b - b \\ [/tex]

Simplify:

[tex] - 2a + b[/tex]

Hope this helps..

good luck on your assignment....

Answer:

I think that her taking the skateboard is 4 times as fast as her walking.

Step-by-step explanation:

I got this because she traveled twice as long and twice as fast on the skateboard, so if you multiply it together, there u have it.

Answer:

1 to 4 (1:4)

Step-by-step explanation:

every 1 mile to every 4 miles

car A 1 mile to car B 4 miles

Answer:

whats the question?

Step-by-step explanation:

Answer:

g= 4

Step-by-step explanation:

first, you want to subtract 36 from both sides of the equation to get rid of that and the plus sign, and get 6g by itself so that would be -6g=-24. then, you want to divide -6 from both sides, so you get g=4 as your answer. and I promise you that it's not so hard once you get the hang of it.

Answer:

G=4

Hint: Isolate terms with G to the left hand side

Subtract 36 from both sides:

(36-36) -6g = 12-36

Hint: Look for the difference of 2 identical terms.

-6g = -24

Divide by -6 on both sides:

-6g/-6 = -24/-6

g = 4

Hope this helps!

I don't even understand why math is a thing lol

Answer:

12x^3 -28x^2 -21x +30

Step-by-step explanation:

1) Distribute!

(6x-5)(2x^2-3x-6) = 12x^3 -18x^2 - 36x -10x^2 +15x+30

2) Combine like terms!

12x^3 -18x^2 - 36x -10x^2 +15x+30 = 12x^3 -28x^2 -21x +30

Answer is:

12x^3 -28x^2 -21x +30

Hope it helps!!

Hey there! :)

Answer:

A. 108 ft².

Step-by-step explanation:

Find the area of each face using the dimensions 4, 3 and 6. Remember, there are 6 total faces with 3 sets of congruent faces. The faces are rectangular, so the formula A = l × w will be used to solve for the area of each:

2(4 ·3) = 2(12) = 24 ft²

2(4· 6) = 2(24) = 48 ft²

2(3 · 6) = 2(18) = 36ft².

Add up the areas of the faces:

24 + 48 + 36 = 108 ft².

Answer:

A) 108 sq ft

Step-by-step explanation:

SA = PH + 2LW

P = 2(L + W)

SA = 2(L + W)H + 2LW

SA = 2(4 ft + 3 ft)(6 ft) + 2(4 ft)(3 ft)

SA = 108 sq ft

Answer:

k = 2

Step-by-step explanation:

Given the equations:

g(x) = 3x² + 8x + k

f(x) = 2x - 1

At the intersection point:

g(x) = f(x)

3x² + 8x + k = 2x - 1

3x² + 6x + (k+1) = 0

If there is only one intersection point, the discriminant must be equal to zero:

b² - 4(a)(c) = 0

6² - 4(3)(k+1) = 0

36 - 12(k+1) = 0

36 - 12k - 12 = 0

24 = 12k

24/12 = k

2 = k

Answer:

6 units down

Step-by-step explanation:

Transformation is the movement of a point from its original position to a new position. If an object is transformed, all the point making the object is also transformed. There are four different transformations: Reflection, dilation, translation and rotation.

If y = f(x), y = f(x) + k is a translation k units up if k > 0 and is a translation k units down if k < 0

Given that the parent function is an absolute value represented by:

y = |x|

Therefore comparing y = |xl - 6 with y = f(x) + k, k < 0, therefore this is a translation of 6 units down

Answer: 9πcm²

Step-by-step explanation: area of the square= 36cm²

Therefore, the area of one side= √area = √36 = 6cms

Since the circle is touching the sides of the square, the side of the square = the diameter of the circle

Therefore the radius of the circle= side/2 = 3cm

The formula for the ares of the circle is πr²

π*3*3 = 9πcm²

Answer:

....................trapezium

Answer:

trapezoid or trapezium

Step-by-step explanation:

Answer:

answer is 45 if helped please give 5 star

Answer:

D

Step-by-step explanation:

Replace by the coordinates

3*3 -1>1

Answer:

D. (3,1)

Step-by-step explanation:

Plug the X and Y values into the expression y<3x-4

Substitute 3 for X and 1 for Y and simplify

y < 3x - 4

1 < 3(3) - 4

1< 9 - 4

1< 5

In this case 1 is less than 5, that is a correct statement, so your answer is C.

Answer:

Step-by-step explanation:

1+2 cos α

[tex]=1+2(2 cos^{2} \frac{\alpha }{2} -1)\\=1+4 ~cos^2\frac{\alpha }{2} -2\\=4 ~cos^2\frac{\alpha }{2} -1\\=(2cos \frac{\alpha }{2} +1)(2 cos \frac{\alpha }{2} -1)[/tex]

Answer:

15...?

Step-by-step explanation: Sorry if I got this incorrect...

Alex 15 arrows hit a target in all.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

Alex's first 10 all hit the target and earned him 20 more.

Now he has 20 and has used 10.

His next 5 hit the target and earned him 10 more.

He now has 25 (20–5+10) and has used 15.

All of the remaining 25 miss the target.

Alex had used a total of 40 arrows (25+15) and has hit the target 15 times.

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