Find the missing side lengths. Answers are in simplest radical form with the denominator rationalized

Find The Missing Side Lengths. Answers Are In Simplest Radical Form With The Denominator Rationalized

Answers

Answer 1

Answer:

Option B.

Step-by-step explanation:

The given triangle is a right angle triangle.

In a right angle triangle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

In the given triangle,

[tex]\tan (45^{\circ})=\dfrac{v}{7}[/tex]

[tex]1=\dfrac{v}{7}[/tex]

[tex]7=v[/tex]

Using Pythagoras theorem, we get

[tex]hypotenuse^2=Perpendicular^2+Base^2[/tex]

[tex]u^2=v^2+7^2[/tex]

[tex]u^2=7^2+7^2[/tex]

[tex]u^2=2(7^2)[/tex]

Taking square root on both sides, we get

[tex]u=\sqrt{2(7^2)}[/tex]

[tex]u=7\sqrt{2}[/tex]

Therefore, the correct option is B.


Related Questions

What method can be used to write the equation of a line in slope-intercept form given two points? Find the slope using the formula , and then substitute one point and the slope into the equation to find the y-intercept. Find the slope using the formula , and then substitute one point and the slope into the equation to find the y-intercept. Find the y-intercept using the formula , and then substitute one point and the y-intercept into the equation to find the slope. Find the y-intercept using the formula , and then substitute one point and the y-intercept into the equation to find the slope.\

Answers

I'm sorry it took this lobg

How many different "words" can be made from the given words by re-arranging the letters? DIGIT KINDNESS MATHEMATICIAN

Answers

Kindness- skinned, sinned, kissed, skeins, skies, sides, kind, kinds, end 86 words

Digit- dig, it 8

Mathematician- titanic, intact, manic, cat, math, … 346

Answer:

digit: 60

kindness: 10080

mathematician: 129729600

Step-by-step explanation:

sorry if this isn't right, and sorry I don't have an explanation but this worked for me.

What is the common ratio of the following sequence?
-5, -20, -80,-
0-4
0 1
NI
04
NEYT OLIESTION

Answers

Answer:

4

Step-by-step explanation:

Given

-5, -20, -80, .....

Required

Determine the common ratio

The common ratio of a sequence is determined by dividing a term by its immediate previous term;

Let the term be represented with [tex]T_1, T_2, T_3[/tex] and the common ratio with r

From the analysis above;

[tex]r = \frac{T_2}{T_1}\ or\ r = \frac{T_3}{T_2}[/tex]

Substitute -5 for [tex]T_1[/tex]; -20 for [tex]T_2[/tex]; -80 for [tex]T_3[/tex]

[tex]r = \frac{-20}{-5}\ or\ r = \frac{-80}{-20}[/tex]

[tex]r = 4\ or\ r = 4[/tex]

Both values of r are the same;

Hence, the common ratio of the sequence is 4

True or false? The illustration below is an example of a regular tessellation.​

Answers

Answer:

B.) False

Step-by-step explanation:

A regular tessellation is a pattern made by repeating a regular polygon. But in this image, it is a demiregular tessellations. Demiregular tessellations are a set of tessellations made from 2 or more regular polygon faces.

Hope this helps you out! : )

The given illustration is not example of a regular tessellation due to overlapping of polygons which is option(B) false.

What is regular tessellation?

A regular tessellation is defined as consist of a repeating pattern of one or more regular polygon. There are a few qualifications for a pattern to be a tessellation. These include:

Regular polygon cannot overlap.

Regular polygon cannot have space between them.

The patterns are created by rotating, translating, or reflecting the shapes.

Hence, the given illustration is not example of a regular tessellation due to overlapping of polygons.

Learn more about regular tessellation here:

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Solve for x.....................

Answers

Answer:

15

Step-by-step explanation:

In order to find the the value of x, first we need to calculate the length of the perpendicular dropped from the right angle to the hypotenuse of the given triangle.

Therefore, by geometric mean property, we have:

[tex]l(perpendicular) \\ = \sqrt{9 \times (25 - 9)} \\ = \sqrt{9 \times 16} \\ = \sqrt{144} \\ l(perpendicular) = 12 \: units \\ \\ Now \: by \: Pythagoras \: Theorem:\\ {x}^{2} = {9}^{2} + {12}^{2} \\ {x}^{2} = 81 + 144 \\ {x}^{2} = 225 \\ x = \sqrt{225} \\ x = 15[/tex]

The answer that’s you are looking for for this problem is 15

An apple that was 4 meters off the ground was blown off a tree. The angle between the final position of the apple and the original
position of the apple was 35
4 m
35
Note: picture not drawn to scale
Which equation can be used to find the horizontal distance, r, that the apple was displaced?

Answers

we also need the vertical distance between the original spot and the ground to solve this,

Answer:

tan 35° = \frac{4m}{r}

Step-by-step explanation:

Tan is the length of the opposite leg over the length of the adjacent length and for angle 35 4 was the length of the opposite leg and r was the length of the adjacent leg

I need number 5 done can someone help me please I need it done ASAP

Answers

Answer: B

Step-by-step explanation:

(4/3) x 3.14 x 3.7^3

Plug into a calculator

212.067

Brainliest would be appericiated!

The Grade 8 students held a graduation dance.
Four out of 7 students attended.
There are 112 Grade 8 students.
How many students attended the dance?
**In the blank ONLY write the number, no words/sentences, for example if the
answer is 4 students are going in the blank type: 4

Answers

Answer:

64

Step-by-step explanation:

4/7

16x7= 112

4x16=64

64 as in 69 if you know what i mean

To convert a fraction into a decimal number, divide the denominator by the numerator. TrueFalse

Answers

oof I'm wrong he's right I thought is said do idea numerator by denominator sowwy

Answer:

false; you divide the NUMERATOR by the denominator.

Find the Missing Side Lengths
the Leave your answers as radicals in simplest form.​

Answers

Answer:

x = √3

y = 1

Step-by-step explanation:

The side x, the hypotenuse 2 and the 60 degree angle are related as follows:

                                 x

sin 60 degrees = ----------

                                  2

                                               

and so side x is equal to  2 sin 60 degrees, or 2( (√3)/2), or √3.

By the Pythagorean Theorem, x^2 + y^2 = 2^2, or

                                                     3   + y^2 = 4, and so

                                                              y^2 = 1

so side y has length 1

x = √3

y = 1

What property do rectangles and parallelograms always share? 4 right angles 4 sides of equal length 2 pairs of parallel sides 2 acute angles (1 answer choice)

Answers

Answer:

A property that rectangles and parallelograms always share is that they both have two pairs of parallel sides.

Step-by-step explanation:

A rectangle is a shape that has two pairs of parallel sides and has 4 right angles.

A parallelogram is a shape that has two pairs of parallel sides and has 2 pairs of congruent sides.

The only thing these shapes have in common is that they both have two pairs of parallel sides.

Answer:

C: 2 pairs of parallel side

Step-by-step explanation:

I got it correct in a quiz I did that had this question.

From the figure, if y = 400 then find the value of x .

Answers

Answer:

70°

Solution,

y=40°

now,

[tex]2x + y = 180( \: sum \: of \: angle \: in \: straight \: line) \\ or \: 2x + 40 = 180 \\ or \: 2x = 180 - 40 \\ or \: 2x = 140 \\ or \: x = \frac{140}{2} \\ x = 70 \: degree[/tex]

Hope this helps...

Good luck on your assignment...

i think its 70°
y=40
180 (angles in a straight line)
180-40=140
140 / 2
=70

solve this systems of linear equations.separate the x- and y-values with a comma 18x+7y=-89 9x-9y=18

Answers

Answer:

Step-by-step explanation:

18x+7y=-89   equation1

9x-9y=18       equation2

multiplying equation 2 by 2

2(9x-9y=18)    18x-18y=36   equation 3

subtacting equation 1 and 3

18x-18x+7y+18y=-89-36

25y=125

y=5

putting the values of y in equation1

18x+7(5)=-89

18x+35=-89

18x=-89-35

18x=-124

x=-6.8

Suppose a cube is given.
How many different segments can be formed by connecting the vertices of the cube?

Answers

Answer:

I believe it is 12

I'm not 100% sure but if its right let me know

Sry if its not :/

PLS ANSWER NOW i'm desperate

Answers

Answer:

1.6 < x < 9.6

Step-by-step explanation:

The smallest the third side can be is greater than the difference of the other two sides

x > 5.6 -4

x > 1.6

The largest the third side can be is  less than the sum of the other two sides

x < 5.6 +4

x < 9.6

1.6 < x < 9.6

Use the interactive to graph the line with a y-intercept of –2 and slope of –1/3.

What is the x-intercept of the line?

–6
–3
3
6

Answers

According to your answer choices the x intercept of the line is -6

Answer:

-6

Step-by-step explanation:

Which rule describes the composition of
transformations that maps
ABC to A'B'C"?​

Answers

i think it’s transfiguration :)

Answer:

translation

Step-by-step explanation:

Consider the line - 8x-5y = -7.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?

Answers

Answer:

See below

Step-by-step explanation:

First, you need to find the slope of the given line.  You can do this by rearranging the equation so that it is  in slope-intercept form (y = mx + b).

-8x - 5y = -7

-5y = 8x - 7

y = -8/5x + 7/5

The slope of this line is -8/5.  

The slope of a line that is perpendicular will be the negative reciprocal.  You have to change the sign, and basically flip the numerator upside down.  The slope of the perpendicular line will be 5/8

-8/5 = 8/5 = 5/8

The slope of a line that is parallel will be equal.  This means that the slope will be -8/5.

Given O O below, the arcs GĦ and JK must be congruent.
G
#
A. True
70"
B. False
125
K
SUBM

Answers

Answer:

False.

Step-by-step explanation:

Just look at them. They aren't even similar.

A circle is a curve sketched out by a point moving in a plane. The given statement "Given circle O below, the arcs GH and JK must be congruent." is false.

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

For the given two arcs in the circle, the given statement "Given circle O below, the arcs GH and JK must be congruent." is false. This is because the  measure of the central angle of the both arcs is not equal. Therefore, it can be concluded that the length of the two arcs is not equal.

Hence, the given statement is false.

Learn more about Circle:

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One of the sides of a parallelogram has a length of 5 in. Can the lengths of the diagonals be: 4 in and 3 in?

Answers

Answer:

No

Step-by-step explanation:

Lines L and M are parallel.
4
3
5
L
2
1/6
38° 7.
- M
Find : m24
Enter the number that
belongs in the green box.
?]
Enter

Answers

Answer:

38°

solution,

<2=38°( being corresponding angles)

<4=<2( being vertically opposite angles)

=38°

About corresponding angles:

Please look the first one picture.

There,

<b is an exterior and <d is an interior angle lying to the same side of transversal and they are not adjacent to each other.They are called corresponding angle.A pair of corresponding angles made by a transversal with parallel lines is always equal.

About vertically opposite angles

please look the second one picture.

there,

<AOC and <BOD are formed by intersected line segments and they lie to the opposite side of common vertex.They are called vertically opposite angles.<AOD and <BOC are another pairs of vertically opposite angles.Vertically opposite angles are always equal.

<AOC=<BOD

<AOD=<BOC

Hope this helps...

Good luck on your assignment..

Which graph is defined by f(x)=x^2+5|x|+6

Answers

Answer: C

Step-by-step explanation:

You are given a graph which is defined by f(x)=x^2+5|x|+6

Where the intercept of the graph is 6

Since the equation of the graph has a modulus 5|x|. Which can be span to the negative x component and positive x component, the root of the quadratic function will both be at negative x component and positive x component.

Which are 2 and 3 or -2 and -3

Option C is therefore the best graph for the answer to the question.

What is the value of X in the equation..[tex]\frac{8}{5}x+5=-19[/tex]
PLS SHOW WORK!

Answers

Answer:

8/5x + 5 = -19

8/5x = -24 (Subtract 5)

x = -15 (Multiply by 5/8)

30 POINTS!!! Heather is collecting dimes. She saves one dime on the first day, two dimes on second day, and three dimes on third day. If this pattern continues, hom much money will heather have saved at the end of 30 days? Please Explain!

Answers

Answer:

hope dis help ;_;

Step-by-step explanation:

It's easy to see the manual solution: 1(.1) + 2(.1) + 3(.1) +......+ 30(.1).

But nobody wants to do that repetitive computation. If we factor out the (.1),

we see (.1) * (1+2+3+4...+30). Still somewhat repetitive, but not bad for just 30.

We really need a formula for big numbers though. The short cut for adding a series

of numbers is to find the average of the first and last numbers and multiply by how

many there are in the list:

(first + last)(the quantity of numbers) / 2 = (1 + 30)(30) / 2 = 465

465(.1) = $46.50

The money that Heather will save at the end of 30 days will be 465.

What is arithmetic progression?

Arithmetic progression is a sequence of numbers with a common difference. It is given by,

aₙ = a₁ + (n - 1)d

Where,

aₙ  = the nᵗʰ term in the sequence

d = common difference

a₁ = first term

Now,

We have,

Heather saves one dime on the first day, two dimes on the second day, and three dimes on the third day and continues for 30 days.

So,

Money saved on the first day = 1

And,

Money save on 30 day = 30  

So,

Using the sum of Arithmetic progression formula,

Sₙ = n/2 [ a + l ]

where,

n = 30

a = first term = 1

l = last term = 30

Now,

Sₙ = n/2 [ a + l ]

Sₙ = 30/2 [ 1 + 30]

Sₙ =15 × 31

Sₙ = 465

So, money saved at the end of 30 days = 465

Hence we can say that the money that Heather will save at the end of 30 days will be 465.

To learn more about arithmetic progression click here,

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Question 22 on this pictured math sheet please. Have a great day!

Answers

Answer:

The required graph is shown below.

Step-by-step explanation:

The given equation is

[tex]4x-3y=12[/tex]

To draw the graph we need at least two points which satisfy the given equation.

At x=0,

[tex]4(0)-3y=12[/tex]

[tex]-3y=12[/tex]

[tex]y=\dfrac{12}{-3}[/tex]

[tex]y=-4[/tex]

At y=0,

[tex]4x-3(0)=12[/tex]

[tex]4x=12[/tex]

[tex]x=3[/tex]

So, (0,-4) and (3,0) are two solutions of the given equation. Plot these two points on the coordinate plane and connect them by a straight line.

The required graph is shown below.

3^x+x³=17
solve for x​

Answers

Answer:

Hello!

~~~~~~~~~~~~~~~

3^x+x³=17

=  x = 2

Step-by-step explanation: Graph each side of the equation. The solution is the x - value of the point of intersection.

Hope this helped you! Brainliest would be nice! ❤︎

which solution can be used to fill in both blanks in the table

Answers

Answer:

(5, 2)

Step-by-step explanation:

As 8x = 40

x = 40÷8

x = 5

This is the first solution

Then 4x + 4y = 28

We know that x = 5 as above

So let's substitute it:

4x + 4y = 28

(4 × 5) + 4y = 28

20 + 4y = 28

Let's get the 20 to other side

20 - 20 + 4y = 28 - 20

4y = 8

y = 8 ÷ 4

y = 2

Hence we get these two solutions

(5,2)

:-)

Pls help guys: Find the perimeter of rectangles which measure: 9m x 12.6m.and also I need help with this so: complete the table of measurements of triangles. Base. 12cm. 12cm. 30.5cm. Height. 15cm. 32cm Area. 60cm2 72cm2. 112.5cm2 122cm2 160cm2 Fill in the blanks pls and also tell me why it is. I will mark brainliest if you help me for real

Answers

Answer:

1.  perim is 43.2

2. where are the blanks? dont see any

Step-by-step explanation:

A point a is graphed at (0,5). Complete the coordinates of a shape that can be rotated around the y axis to create a cylinder provide an explanation for your answer to receive full credit.

Answers

Answer:

The coordinates of the shape (rectangle), that can be rotated around the y axis to create a cylinder are;

A = (0, 5)

B = (2, 5)

C = (2, 0)

D = (0, 0)

Step-by-step explanation:

A shape that can be rotated around the y axis to create a cylinder is a rectangle ABCD

Given that the rectangle is to be rotated about the y-axis to form a cylinder, the vertical sides of the rectangle are to be parallel to the y-axis such that the x coordinates at the top and bottom will be equal in the opposite vertical segments as follows;

The complete coordinates of the rectangle, ABCD that can be rotated around the y axis to create a cylinder are therefore presented as follows

A = (0, 5)

B = (2, 5)

C = (2, 0)

D = (0, 0).

If f(x) = -15x + 3, then f^-1(x) =

Answers

Answer:

f^-1(x) is - (x -3)/15

Step-by-step explanation:

f(x) = -15x + 3

To find f^-1(x) equate f(x) to y

That's

y = f(x)

Which is

y = -15x + 3

Next interchange the terms x becomes y and y becomes x

That's

x = - 15y + 3

Make y the subject

We have

-15y = x - 3

Divide both sides by - 15

We get

y = x-3/-15

y = - x - 3/15

Therefore f^-1(x) is - (x -3)/15

Hope this helps you

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