In right angled triangle (not drawn to scale) measurment (in cm) of two sides are indicated in figure Find value of x in case. (pic is attached on which figure is drawn)

Answer:

1

Step-by-step explanation:

-8 + 10 + (-3) - (-2)

=> -8 + 10 - 3 + 2

=> 12 - 11

=> 1

Answer:

Step-by-step explanation:

[tex]-8+10+\left(-3\right)-\left(-2\right)\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:\\\\-8+10=2\\\\=2+\left(-3\right)-\left(-2\right)\\\\\mathrm{Apply\:rule\:}+\left(-a\right)\:=\:-a\\\\+\left(-3\right)=-3\\\\=2-3-\left(-2\right)\\\\2-3=-1\\\\=-1-\left(-2\right)\\\\=-1+2\\\\=1[/tex]

Answer:

Hey there!

3x-5+2x+2+3x+5

3x+2x+3x-5+2+5

8x+2=90

8x=88

x=11

Let me know if this helps :)

Step-by-step explanation:

Hey, there!!

Let's simply work with it,

MA is perpendicular to AT.

To find: angle HAT.

Now,

angle HAT + (2x + 2)° + (3x + 5)° = 90° { As MA perpendicular to AT. }

Now,

Replace angle HAT by (3x - 5)°.

(3x-5)° + (2x+2)° + (3x+5)° = 90°

Open brackets,

3x - 5° + 2x + 2° + 3x + 5° = 90°

Add like terms.

8x + 2°= 90°

8x = 90°-2°

[tex]x = \frac{88°}{8} [/tex]

x= 11°.

Now, finding the value of angle HAT.

(3x-5)° = 3×11°-5°

Therefore, angle HAT is 28°.

Hope it helps...

Answer:

58 feet

Step-by-step explanation:

Find the difference by subtracting 23 from 81.

81 - 23

= 58 feet

Answer:

2 real roots

Step-by-step explanation:

If the discriminant is >0 then the equation has 2 real roots

If the discriminant is =0 then the equation has 1 real roots

If the discriminant is <0 then the equation has 2 complex roots

since the discriminant is 4, it has 2 real roots

Answer:

It will have 2 real roots

Step-by-step explanation:

4>0 :)

Answer:

is repeating rational

Answer:

If you meant the area was 255 in²:

Perimeter is [tex]4\sqrt{255}[/tex], or around 63.89 in.

If you meant that the area was 225 in²:

Perimeter is 60 in

Step-by-step explanation:

If you meant the area was 255 in²:

If we have a square with an area of 255 in², then it's side length will be [tex]\sqrt{255}[/tex] inches long, since the area of a square is [tex]l^2[/tex], where l is the length.

Since [tex]\sqrt{255}[/tex] doesn't return a rational number, we'll leave it as [tex]\sqrt{255}[/tex].

Now that we know the side length, the perimeter of a square is represented as [tex]4l[/tex], where l is the length.

We know the length is [tex]\sqrt{255}[/tex], so we can multiply this by 4.

[tex]4\sqrt{255}[/tex]. This is the simplest it gets.

If you meant the area was 225 in²:

Following the same concept as again:

Length: [tex]\sqrt{225} = 15[/tex]

Perimeter: [tex]4\cdot15=60[/tex] in

Hope this helped!

Answer:

P = 63.87 in

Step-by-step explanation:

area of a square window = 255 in²

find perimeter of the window.

A = s²

255 = s²

s = 15.97 in.

perimeter = 4 * s

P = 4 (15.97)

P = 63.87 in

Answer:

The independent variable = The volume of water in the aquarium

The dependent variable = The time it will take to drain the aquarium

Step-by-step explanation:

The independent variable, as indicated in the name is the variable that is not influenced by other variables but can predetermine its own self and it is not altered by the other variables being analysed

Therefore, the independent variable is the water in the 200 gallon aquarium

The dependent variable, is the tested or measured variable and is dependent on the independent variable, which is the time it takes to drain the 200 gallon aquarium.

Answer:

3

Step-by-step explanation:

3x=9

3(3)=9

3/3=0=9/3=3

answer=3

Answer:

Option (A)

Step-by-step explanation:

One side of the given triangle is a diameter of the semicircle given.

Measure of the diameter = 10 units

Total area of the semicircle = [tex]\frac{1}{2}\pi (r^{2})[/tex]

                                              = [tex]\frac{1}{2}\pi (5)^2[/tex]

                                              = 39.27 square units

Area of the right triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

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

                                         = 24 square units

Area of the shaded region = Area of the semicircle - Area of the right triangle

                                            = 39.27 - 24

                                            = 15.27 square units

                                            ≈ 15 square units

Therefore, option (A) will be the answer.

Answer:

8(20 + 6)

8(20) +8(6)

208

Step-by-step explanation:

Got it right EDGE 2021

The value of 8(26) after using the distributive property will be 208.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

As per the given, 8(26)

8(26) = 8(20 + 6)

By using the distributive property of multiplication,

8(26) = 8 × 20 + 8 × 6

⇒ 160 + 48

⇒ 208

Hence "The value of 8(26) after using the distributive property will be 208".

For more about the number system,

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Answer:

See below

Step-by-step explanation:

(a) Remember that the median of any data set is represented by the " middle line " of the box plot. The median of Brand X would be 13, and the median of Brand Y would be 16.

(b) The median of each respective box plot is not in range of their respective boxes. Therefore Brand X has a much smaller time span that Brand Y. This proves that one would favor Brand Y over Brand X.

Answer: 0.786

Step-by-step explanation:

Here i would assume that:

Sector R and Sector Q do not have any sections in common.

Then, the probability that the spinner does not land on Q or R, is equal to the probability where the spinner does not land in a specified section of:

38° + 39° = 77°.

Now, the total section off the spinner is 360°.

If we remove those 77°, we have a section of:

360° - 77° = 283°

So we have 283° where the spinner CAN land on.

Then the probability that the spinner does NOT land on R or Q is equal to the quotient between the section of the spinner that is not R or Q, and the total section of the spinner"

P = 283/360 = 0.786

So the probability is 0.786

Answer:

$6.36

Step-by-step explanation:

this is a system of equations problem. There are two main methods for this type of problem: elimination and substitution(I used both here). A-croissants, B-coffee.

The cost of an order of 1 croissant is $2.3 and 1 cup of coffee is $4.05.

We need to form the system of equations for the given statement.

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Let the cost of croissants be x and the cost of cups of coffee be y.

6 croissants and 3 cups of coffee costs $25.95

6x+3y=25.95-----(1)

1 croissant and 6 cups of coffee cost $26.70

x+6y=26.70-----(2)

(6x+3y)6=25.95×6

⇒36x+18y=155.7-----(3)

(x+6y)3=26.70×3

⇒3x+18y=80.1-----(4)

Subtract (4) from (3).

That is, 36x+18y-(3x+18y)=155.7-80.1

⇒33x=75.6

⇒x=2.3

Substitute x=2.3 in equation (1).

That is, 6(2.3)+3y=25.95

⇒3y=12.15

⇒y=4.05

Therefore, the cost of an order of 1 croissant is $2.3 and 1 cup of coffee is $4.05.

To learn more about the system of equations visit:

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Answer: systemic

Step-by-step explanation:

Answer:  10 yards

Step-by-step explanation:

Covert 30  feet into yards to find how many yards he should buy.

[tex]\frac{30}{3} = \frac{x}{1}[/tex]     Solve by cross product

3x = 30  

x = 10  

Answer:

Hey there!

To solve this problem, we must first find the total amount of time it takes for you to get ready in the morning!

20 minutes for shower + 15 minutes to eat + 10 minutes to walk.

This is a total of 20+15+10 or 45 minutes.

For our answer, we have that you should wake up 45 minutes before 11:15, which is 10:30 AM.

Let me know if this helps :)

Answer:

10:30 am

Step-by-step explanation:

I hope this helps!

Answer:

  T(6,0)

Step-by-step explanation:

Reflection across two parallel lines results in translation by double the distance between them. Assuming this means ...

  Rp(Rq(∆ABC))

the translation is to the right by 6 units.

_____

The attached figure shows the reflections we understand to be indicated by the notation (Rp ∘ Rq) (ΔABC).

Answer:

above

Step-by-step explanation:

Answer:

b.  $1215.00

Step-by-step explanation:

The area of the room can be figured any of several ways. One easy way is to figure the area of the enclosing 8 ft by 12 ft rectangle, then subtract area of the 3 ft by 5 ft cutout at upper left.

  A = (8 ft)(12 ft) - (3 ft)(5 ft) = (96 -15) ft^2 = 81 ft^2

At a cost of $15 for each square foot, the installed flooring will cost ...

  ($15 /ft^2)(81 ft^2) = $(15·81) = $1215

Answer:

To make sure that you get a straight line to bisect the line segment

Step-by-step explanation:

Answer:

The last option.

Step-by-step explanation:

You get a straight line that passes through the midpoint.

Answer:

11,793.6

Step-by-step explanation:

Hello! :)

Answer:

[tex]\huge\boxed{3\frac{1}{2}}[/tex]

[tex]\frac{7}{2}[/tex] as a mixed number:

Divide 2 from 7 and find the remainder:

7 ÷ 2 = 3 R 1.

An improper fraction in mixed form has the quotient as the coefficient, and the remainder over the fraction. Therefore:

[tex]\frac{7}{2} = 3\frac{1}{2}[/tex]

Answer:

[tex]3\frac{1}{2}[/tex]

Step-by-step explanation:

Step 1: Define mixed fraction

A mixed fraction is a number with a whole number and a fraction together

Step 2: Find mixed fraction

Ask how many time can 2 completely fit into 7 without leaving anything left over, 2 fits in 7 3 times because 2 x 3 = 6 and 7 - 6 is 1.  We put 3 in front of the fraction and we keep the 1 left over in the numerator of the fraction with 2 as the denominator to get [tex]3\frac{1}{2}[/tex]

Answer:

D

Step-by-step explanation:

Prime factorize 60

[tex]\sqrt{60}=\sqrt{2*2*3*5}=2\sqrt{3*5}=2\sqrt{15}[/tex]

Step-by-step explanation:

[tex]density = \frac{mass}{volume} \\ volume = \frac{mass}{density} \\ changing \: 1.8 {gcm}^{ - 3} to \: {kgm}^{ - 3} \\ multiply \: by \: 1000 \\ = 1800 {kgm}^{ - 3} \\ volume = \frac{3.1}{1800} \\ = 0.00172 {m}^{ 3} [/tex]

The volume of 3.1 kg of concentrated sulfuric acid is 1722.22 [tex]cm^{3}[/tex].

Here's the solution:

The density of concentrated sulfuric acid is 1.8 g/[tex]cm^{3}[/tex]. This means that 1.8 grams of concentrated sulfuric acid will occupy 1 cubic centimeter of space.

If we have 3.1 kg of concentrated sulfuric acid, then we have 3100 grams of concentrated sulfuric acid.

The volume of this amount of concentrated sulfuric acid will be:

volume = mass / density

volume = 3100 g / 1.8 g/[tex]cm^{3}[/tex]

volume = 1722.22 [tex]cm^{3}[/tex]

Therefore, the volume of 3.1 kg of concentrated sulfuric acid is 1722.2[tex]cm^{3}[/tex]

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Answer:

More milk does she need = 1 / 2 jug

Step-by-step explanation:

Given:

Recipe call milk = 3/4 jug

Stacy had = 1/4 jug

Find:

More milk does she need

Computation:

More milk does she need = 3/4 - 1/4

More milk does she need = (3 - 1) / 4

More milk does she need = 2 / 4

More milk does she need = 1 / 2 jug

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

The upper-left coordinates on a rectangle are (−5,6) and the upper-right coordinates are (−2,6). The rectangle has a perimeter of 16units. Draw the rectangle on the coordinate plane below.

If the coordinates of the top of the triangle (breadth) is  (−5,6) and  (−2,6), we can calculate the breadth of the rectangle by taking the difference between the two points using the formula:

D = √(y₂-y₁)²+(x₂-x₁)²

Given x₁ = -5, y₁= 6, x₂ = -2 and y₂ = 6

D = √(6-6)²+(-2-(-5))²

D = √0²+3²

D = √9

D = 3 units

Breadth = 3 units

Given the Perimeter to be 16 units and the formula for calculating the perimeter of rectangle t be P = 2(L+B), we can get the length of the rectangle.

16 = 2(3+L)

16 = 6+2L

16-6 = 2L

2L = 10

L = 10/2

L = 5 units.

Hence the length of the rectangle is 5 units and the breadth is 3 units. Find the diagram in the attachment.

Answer:

This other person is correct! I checked =)

Step-by-step explanation:

Answer:

15 km

Step-by-step explanation:

3 cm on the map = 5 km

3 x 3 = 9 cm

5 x 3 = 15 km

So, 9 cm on the map = 15 km

Answer:

D. 15 km

Step-by-step explanation:

Answer:

The measures are 108 deg and 72 deg.

Step-by-step explanation:

The larger angle has measure x.

The smaller angle has measure (2/3)x.

They are supplementary, so the sum of their measures is 180 degrees.

x + (2/3)x = 180

(3/3)x + (2/3)x = 180

(5/3)x = 180

(3/5) * (5/3)x = (3/5) * 180

x = 108

(2/3)x = 2/3 * 108 = 72

Answer: The measures are 108 deg and 72 deg.

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Recall that absolute value is the positive of a real number so

|-5| = 5

This added to 2 gives 7

Answer:

B.) 20

Step-by-step explanation:

We know the midpoint of half of the segment, which is 5. You can use this to find the length of half, after which you can find the entire length by multiplying by 2:

[tex]RN+NS=RS\\5+5=10\\HR+RS=HS\\10+10=20[/tex]

The length of HS is 20.