A mirror is in the shape of an isosceles right triangle and has a hypotenuse length of seven times the square root of two. What is the length of one of the legs?

square root of two.

3.5
seven times the square root of two.

7

Answers

Answer 1

The length of one of the legs  of an isosceles right triangle and has a hypotenuse length of seven times the square root of two is 7 units.

What is an Isosceles triangle?

Isosceles triangles are triangles that has two of it sides equal to each other. The base angles of an isosceles triangle are equal.

The  isosceles triangle is also a right angle triangle. The hypotenuse is the longest side of a right angle triangle.

Therefore,

hypotenuse = 7(√2)

let the length of the other legs = x

Therefore, using Pythagoras theorem

c² = a² + b²

(7(√2))² = x² + x²

49 × 2 = 2x²

98 = 2x²

x² = 98 / 2

x = √49

x = 7 units

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Related Questions

please help if you are good at maths
on the image.

Answers

Answer:

x=74

Step-by-step explanation:

if angle ABE = 148. then, angle EBC = 32

and for angle ECB an BEC,

180-32 = 148

148/2 = 74

so, angle ECB and angle BEC  = 74

we know, angle BCE and angle CEF are equal because they are alternate angles

so, x = 74

Evaluate the expression for m = -3.

-4|5 + m|

Type the correct answer in the box. Use numerals instead of words.

Answers

Answer:

The answer is -8

-4 l5 +(-3)l

-4 (2) = -8

Answer: Correct answer is  -8

Step-by-step explanation:

Substitute the given value of m into the expression:

-4|5 + (-3)|.

Then evaluate using the order of operations:

-4|5 + (-3)|

= -4|2|

= -4(2)

= -8

Edmentum Answer

2/5n+ 3/6+ 1/8n
what does it equal

Answers

Answer:

[tex]\frac{21}{40}n[/tex] + [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The important part to understand about this problem is that you need to find a common denominator. You can ONLY add two fractions if they have the same denominator. A way to change the denominator of a fraction is to multiply the numerator and denominator of the fraction by the same number.

So, You want to make the 2/5n and 1/8n to have the same denominator so you can add them. An easy rule of thumb is multiply the one of the fraction by the other fraction's denominator, so in this problem:

[tex]\frac{2 * 8}{5*8} n[/tex] and [tex]\frac{1*5}{8*5}n[/tex]

this comes out as

16/40n and 5/40n

NOW, they have the same denominator and you can add the numerators together to make it one happy fraction

[tex]\frac{16}{40} + \frac{5}{40} = \frac{16+5}{40} = \frac{21}{40}[/tex]

Then, for the 3/6, you can simplify this fraction into:

1/2

This is because if you divide the top and bottom of the fraction by 3 like so:

[tex]\frac{3/3}{6/3}[/tex] (Always make sure you do the same for the top as you do to the bottom)

This comes out as

[tex]\frac{1}{2}[/tex]

Then for the full equation:

[tex]\frac{21}{40} n + \frac{1}{2}[/tex]

Select the expression that represents the following problem: A glass hols 1/4 liter of liquid. How many glasses of liquid are in 5 liters​

Answers

1 glass..........1/4 liter

n glass.......... 5 liters

n = 1 x 5 : 1/4

n = 5 x 4

so there are 20 glasses

If 12 workers can dig a tunnel in 100 days, how long will it take 20 workers to dig the tunnel

Answers

Answer:

60 days.

Step-by-step explanation:

This is  a proportion question. You compare two ratios. Unfortunately it is an inverse ratio.

12 = k/100                   Multiply both sides by 100

1200 = k

20 = k/x                       Multiply both sides by x

20x = k

20x = 1200                 Divide by 20

20x/20 = 1200/20

x = 60 days.  

An inverse proportion works by making a constant k. The  constant k makes the days shorter when the number of people increases. You should expect that. More people , less time.

531x22 long mutipulcation

Answers

Answer:

11,682 the answer is that hope you get a A!

531

×22

+1062

+1062  

=11682

Therefore:

531 × 22 = 11,682

What is m ZLMN?
OA) 40°
OB)
B) 60°
OC) 75°
OD) 80°

Answers

Answer:

A

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

100° is an exterior angle of Δ MLN , then

∠ LMN + 60° = 100° ( subtract 60° from both sides )

∠ LMN = 40°

Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (1,8) and perpendicular to 3x + 5y = 1

Answers

Step-by-step explanation:

a) 2y = 3x + 4

b) given the perpendicular

3x + 5y = 1

5y = 1 - 3x

y = 1/5 - 3x/5

m¹ = -3/5

perpendicular

m¹m² = -1

-3m²/5 = -1

m² = 5/3

so (1,8)

x¹ = 1 y¹ = 8

m² = (y - y¹)/(x - x¹)

5/3 = (y - 8)/(x - 1)

5x - 5 = 3y - 24

3y - 5x + 5 - 24 = 0

3y = 19 + 5x

^^^^^^^^^^^^^^^^^^^^^^

Math tangent of a circle Also sorry my sister got a hold of it
ASAP!!!

Answers

Imagine we drew a line from the centre (2,0) to the point (0,4).

Essentially the line we drew from the centre to that point on the circle is perpendicular to the tangent line slope-wise.

The slope of that line from the centre to the point is -2 based on the slope's equation or formula.

  slope = [tex]\frac{y2-y1}{x2-x1}=\frac{4-0}{0-2} =-2[/tex]

Therefore the tangent equation's slope is 1/2 since any perpendicular line's slope is the negative reciprocal of the original line's slope.

By using the point-slope form, we must have the point on the tangent plane (0,4) and the slope we found which is 1/2.

 [tex]y - 4 = \frac{1}{2}(x-0)\\ y= \frac{1}{2}x + 4[/tex]

Hope that helps!

A flat-bottomed ice cream waffle cup is shaped like a 72 mm tall cone with a 42 mm diameter opening at the top, but with the bottom 24 mm of the cone replaced by a flat waffle bottom with a 14 mm diameter. to the nearest square millimeter, what area of waffle does the cone have?

a.) 4002
b.)4398
c.)4552
d.)4157

Answers

The area of waffle in the cone is the amount of space covered by the waffle

The cone has 5630 square millimeter of waffle

How to determine the surface area?

The surface area of a cone is calculated using:

A = πr * (r+[tex]\sqrt{[/tex](h^2 + r^2))

For the complete 72 mm tall cone, we have:

Height (h) = 72 mm

Radius (r) = 42 mm/2 = 21 mm

So, the surface area is:

A = πr * (r+[tex]\sqrt{[/tex](h^2 + r^2))

A = 3.142 * 21 * (21+[tex]\sqrt{[/tex](72^2 + 21^2))

Evaluate

A = 3.142 * 21 * (21+75)

A = 6334.272

When the cone is cut at the top, we have:

Height (h) = 24 mm

Radius (r) = 14 mm/2 = 7 mm

So, the surface area is:

A = πr * (r+[tex]\sqrt{[/tex](h^2 + r^2))

A = 3.142 * 7 * (7+[tex]\sqrt{[/tex](24^2 + 7^2))

Evaluate

A = 3.142 * 7 * (7 + 25)

A = 703.808

Calculate the difference (d) between the areas

d = 6334.272 - 2.5*703.808

Evaluate

d = 5630.464

Approximate

d = 5630

Hence, the cone has 5630 square millimeter of waffle

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A kite is inscribed in a square with a side length of 9 units. What is the area of the kite? 27. 5 square units 36. 0 square units 40. 5 square units 45. 0 square units.

Answers

45. 0 square units.

The area of the kite is 40.5 unit square.

The side of the kite inscribed in square is 9

We have to find the area of the kite

What is the formula for the area of the kite?

The area of a kite is,

[tex]A = (d_1d_2) / 2[/tex]

Where [tex]d_1[/tex] and [tex]d_2[/tex] are the diagonals of the kite.

The kite is inscribed in the square, and the sides of the square are 9 units, the diagonals of the kite are both 9 units.

Therefore we get,

[tex]d_1 = 9 units[/tex]

[tex]d_2 = 9 units[/tex]

[tex]A = (9units \times 9units) / 2[/tex]

[tex]A = 81units^2 / 2[/tex]

[tex]A = 40.5 units^2[/tex]

So the third option is correct .

Therefore ,The area of the kite is 40.5 unit square.

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parts of an algebraic expression separated by plus or minus signs are

Answers

Answer:  called tthe term of an algebraic expression.

Step-by-step explanation: We know an algebraic expression is a collection or combination of constant and variables of one or more terms, which are separated by the fundamental operations (+, –, × and ÷).Some of the examples of algebraic expression are 7b + 5m, 5x + 3y + 10, 5x/y + 3, x + y + z, etc.Terms of an algebraic expression:Each part of an algebraic expression which are separated by plus sign (+) or minus sign (-) is called the term of an algebraic expression. It’s important to remember that the division sign (÷) or multiplication sign (×) does not separate the terms of an algebraic expression.

Examples of algebraic expressions and their terms:

(i)  x + 10

We observe that the number of terms used in the expression x + 10 is 2. The terms are x and 10.

(ii)  5m + 2n - 7

We observe that the number of terms used in the expression 5m + 2n – 7 is 3. The terms are 5m, 2n and 7.

(iii)  3a/b

We observe that the number of term used in the expression 3a/b is 1. The term is 3a/b.

(iv) 3xy + 7xz + 2yz - 6

We observe that the number of terms used in the expression 3xy + 7xz + 2yz - 6 is 4. The terms are 3xy, 7xz, 2yz and 6.

)  2abc + 1

We observe that the number of terms used in the expression 2abc + 1 is 2. The terms are 2abc and 1.

Therefore, the algebraic expressions are either simple or compound.

(i) Simple algebraic expressions consist of one term.

(ii) Compound algebraic expressions consist of two or more terms.

What is the area of rectangle PQRS? ​

Answers

The area of a rectangle is l*w. We have the length as 4.5 in and we can find the width by doing 3+2+4.5 = 9.5 in.

Then, we multiply them. 4.5*9.5 = 42.75 inches²

Can anyone help?! Its for geometry. Please show your work and the answer for x

Answers

I’m not sure if the answer is correct but what I did was 9 times 1 is 9 so what then I did was 9 divided by 88=9.79

=
O FRACTIONS
Fraction multiplication
Multiply. Write your answer as a fraction in simplest form.
3 6
Х
4 5
OL
Х
?

Answers

Answer:

Perhaps 2/5, if I understand your question.

Step-by-step explanation:

i don't understand the format of your question:

"3 6

Х

4 5

OL

Х

?"

Is this meant to be (3/6)*(4/5)  ??

If so:

(3/6)*(4/5) = (12/30)

(12/30) = 6/15

6/1`5 = 2/5

Please Help this is due soon

The table below represents an exponential function.

table represents an exponential function.
What is the interval between neighboring
x-values shown in the table?
1
What is the ratio between neighboring y-values?
4
What is the equation for this pattern?
y = _^x

I only need the last one answered

Answers

Answer:

[tex]y = {4}^{x} [/tex]

is the answer

What is the area Of the desk

Answers

Answer:

28 ft²

Step-by-step explanation:

area of the desk = (5×4) + (4×2) = 20 + 8 = 28 ft²

Answer:

28

Step-by-step explanation:

5 times 4 = 20

4 times 2= 8

20 plus 8=28

100 BRAINLY POINTS!!!

Each point on the scatter plot below represents the number of hours a student studied for a test and the
student's test scores.

Which equation is the closest approximation to the line of best fit?

A. y = -10x + 92

B. y = 6x + 59

C. y = 10x + 45

D. y = 15x + 30

PLEASE HURRY CUH

EXPLAIN YOUR ANSWER
SHOW YOUR WORK

Answers

Let's take 1 of x axis from plot (It has three values in y so much useful)

#A

y=-10x+92=-10+92=82

#B

y=6x+59=6+59=65

#C

y=10x+45=10+45=55

#D

y=15x+30=15+30=45

A and D are out of radar .Now we need to find most approx between B and C

Go to 2 now.(Same 3 values)

#B

y=12+59=71

#C

y=20+45=65

65 lies between 60 and 70 ,most approximately equal .

Option C is correct

Answer:

C [tex]y=10x+45[/tex]

Step-by-step explanation:

Line of best fit (trendline) : a line through a scatter plot of data points that best expresses the relationship between those points.

All the given options for the line of best fit are linear equations.

Therefore, we can add the line of best fit to the graph (see attached), remembering to have roughly the same number of points above and below the line.

Linear equation:  [tex]y=mx+b[/tex]

(where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept)

From inspection of the line of best fit, we can see that the y-intercept (where x = 0) is approximately 45.  So this suggests that option C is the solution.

We can also see that the line of best fit appears to be the same distance from points (3, 75) and (4, 85).  So we can use the slope formula with these points to give a rough estimate of the slope of the line of best fit:

[tex]\sf{slope=\dfrac{y_2-y_1}{x_2-x_1}}=\dfrac{85-75}{4-3}=10[/tex]

Therefore, this concurs that C is the solution and that the closet approximation to the line of best fit is [tex]y=10x+45[/tex]

wich one' is the right answer need help

Answers

Answer:

C

Step-by-step explanation:

because density equal all the rest

HAPPY BIRTHDAY!
You have decided to give your best friend a bag of red
and green marbles for his birthday. Your friend likes
green marbles better than red ones, so the bag has
twice as many green marbles as red. The label on the
bag says it contains a total of 84 marbles.
How many green marbles are in the bag? Write a
system of equations for this problem. Then solve the
problem using any method you like. Be sure to check
your solution

Answers

Answer:

56

Step-by-step explanation:

(84÷3) · 2 = x

28 · 2 = 56

Hope that helps!

In ΔVWX, x = 110 inches, v = 700 inches and ∠W=9°. Find ∠X, to the nearest degree.

Answers

The value of ∠X in triangle VWX ( ΔVWX) to the nearest degree is 2 degrees.

The angle X can be found using the cosine rule.

Cosine rule

w² = x² + v² - 2xv cos W

w² = 110² + 700² - 2 × 110 × 700 cos 9°

w² = 12100 + 490000 - 154000 cos 9°

w² = 502100 - 154000 × 0.98768834059

w² = 502100 - 152104.004452

w = √349995.995548

w = 591.604593921

w = 591.60 inches

Using sine rule, let's find ∠X

Sine rule

110 / sin X = 591.60 / sin 9°

Therefore,

110 sin 9 = 591.60 sin X

sin X = 110 sin 9 / 591.60

sin X = 110 × 0.15643446504 / 591.60

sin X = 17.2077911544 / 591.60

X= sin⁻¹ 0.02908686807

∠X = 1.66678986656

∠X = 2 degrees

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what is the area of this triangle?

Answers

Area of triangle =1/2*b*h
=(1*5*6)/2
=15cm^2

PLEASE HELP QUICK !!!!

For each of the following functions, list the excluded values from the
domain:
f (x) =
g(x) =
2-3
22 9
h(x) = V16 – 22

Answers

Answer:

fx is 4, gx is 3, hx is anything greater than, not equal to, 4.

Hope this helps!

is it adjacent or vertical


find the value of X

Answers

Answer:

Adjacent, x = 60°

Step-by-step explanation:

Adjacent angles are pairs of angles next to each other. Vertical angles make an x shape, are across from each other, and have the same measure. These are adjacent angles.

This is a 90° angles, which is signified by the little red box. To solve for x, make an equation by adding the two angles together and set them equal to 90.

x - 30 + x = 90

2x - 30 = 90

2x - 30 + 30 = 90 + 30

2x = 120

2x/2 = 120/2

x = 60°

Here, the angles and (x - 30)° both are complementary angles, so they will add upto 90°, thus we can obtain a equation as ;

[tex]{:\implies \quad \sf x^{\circ}+(x-30)^{\circ}=90^{\circ}}[/tex]

[tex]{:\implies \quad \sf 2x^{\circ}-30^{\circ}=90^{\circ}}[/tex]

[tex]{:\implies \quad \sf 2x^{\circ}=120^{\circ}}[/tex]

[tex]{:\implies \quad \sf x^{\circ}=\dfrac{120^{\circ}}{2}=\bf \boxed{60^{\circ}}}[/tex]

Hence, the required value of x is 60

NEED ANSWERS QUICKLY! CORRECT ONE GETS BRAINLIEST
Write a mixed number between 5 and 6, and then write its reciprocal.

Answers

Answer: 11/2

Reciprocal: 2/11

Step-by-step explanation: 11/2 is 5.5 (between 5 and 6) the reciprocal or 11/2 is 2/11

Find the 10th term of the following geometric sequence 6,24,96,384,…

Answers

Answer:

1572864

Step-by-step explanation:

the nth term of a geoemtric series can be calculated using the following rule : [tex]a_n=a_1(r)^n^-^1[/tex]

where an = nth term, a1 = first term , r = common ratio and n = term position.

here, the first term is 6, the common ratio is 4 and the term position is 10 ( because we want to find the 10th term )

so a1 = 6 , r = 4 and n = 10

using these values we plug them into the rule

recall rule : [tex]a_n=a_1(r)^n^-^1[/tex]

==> plug in a1 = 6 , r = 4 and n - 10

[tex]a_1_0=6(4)^1^0^-^1[/tex]

==> subtract 10 and 1

[tex]a_1_0=6(4)^9[/tex]

==> simplify exponent

[tex]a_1_0=6(262144)[/tex]

==> simplify multiplication

[tex]a_1_0=1572864[/tex]

and we are done!

Note:

the common ration was found by dividing the first term by the next term

Bananas cost $0.48 per pound. If you spent $1.84, how many pounds of bananas did you
purchase?

Answers

Answer:

3 pounds of bananas

Step-by-step explanation:

1.84 ÷ 0.48 = 3.8333etc

since you can't buy 4 pounds with the money you have its 3 pounds of bananas

Given the polar coordinates (4,-pi/3) which of the following rectangular coordinate pairs represents the same point?

a) (-2,2sqrt3)
b) (2,-2sqrt3)
c) (2sqrt3,-2)
d) (2sqrt3, 2)

Answers

The rectangular point that represents (4, - pi/3) is the one in option b: (2, -2√3).

How to change the coordinates?

For a point (x, y), the polar coordinates are:

R = √(x^2 + y^2)θ = atan(y/x).

Then we must have:

R = 4 =  √(x^2 + y^2)

Notice that for all the given points we have the radius equal to 4, so the only part that we care is the angle one:

-pi/3 = Atan(y/x)

tan(-pi/3) = y/x = -1.73

So, y and x must have different signs, and because the angle is negative, we will say that the y-component must be negative.

So the correct option will be b: (2, -2√3)

y/x = -2*√3/2 = √3 = -1.73

If you want to learn more about polar coordinates, you can read:

https://brainly.com/question/14965899

Answer: Quiz answer Unit 4 lesson 6

all answers are right

Step-by-step explanation:

1.) Given the polar coordinates (4,-pi3)which of the following rectangular coordinate pairs represents the same point?

Answer is B: (2,-2sqrt3)

2.) Given the rectangular coordinates (-5 5) which of the following polar coordinate pairs in, radians, represent the same points?

the correct option is D. (5√2,3π4)

3.)Rewrite in rectangular form: r=8 sin theta -2 cos theta.

Answer:

The equation in rectangular form is:

4.)Rewrite in polar form: x^2+y^2-6y-8=0

the  Answer is B. r^2=6r sin 0+8

5.)The graph of r=-9 cos theta has which of the following characteristics?

Answer:

"circle; diameter of 9; center at (-4.5,0)"

6.)Which conic section is represented by the polar equation r=1/4-6 cos theta?

Answer:

Option 2 - Hyperbola

7.)Identify the horizontal and vertical intercepts of the limaçon represented by the equation r=7+3 cos theta ?

Answer:

vertical intercepts: (7, pi/2) and (-7, pi/2)

horizontal intercepts: (10,0) and (-4,0)

8.) Classify the limaçon represented by the equation r=1/2-1/2 sin theta.

A. Cardioid

9.)Write the equation for the graph of the rose curve.

answer C: r=9 sin 4 theta

10.) Write the equation for the graph of the lemniscate.

answer D: r^2=-49 sin 2theta

(pls don't report for me not explain it took a lot of time typing this and im just trying to help people have less stress on their shoulders :p )

What is 2+2 I think it’s still 2 but I am not sure yet

Answers

Answer:

it actually equals 5

Step-by-step explanation:

the reason it equals 5, is because there are 5 variables in there, so because of the addition sign, it becomes 1+1+1+1+1=5. you cannot prove me wrong.

Answer:

the correct answer is 4

Step-by-step explanation:

2 + 2 = 4

hope this helps

have an awesome day -TJ :)

Jonah's lunch cost $27.50, he paid $1.65 sales tax. What is the percent of sales tax?

Answers

Answer:

6%

Step-by-step explanation:

To get sales tax, you multiply the percentage of sell tax to the total price. In this case, we were looking for the percent of sell tax so we needed to divide the total amount into the amount he payed in sells tax. You will get the decimal value so you will have to multiply it by 100 to get the percent.

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