Fill in the blanks of the sentence.

Answer:

a < c < b

Step-by-step explanation:

The sum of the interior angles of a triangle is 180°

Therefore, the measure of the missing angle (opposite side c) is:

180° - 69° - 54° = 57°

Relationship between sides and interior angles of any triangle:

Therefore, from inspection of the triangle:

So the side lengths in increasing order are:

a < c < b

Rest angle:-

Note that smaller side has smaller opposite angle

Hence the order is

Answer:

B.f(x)=4/2(x+1/2-3

Answer:

If I did the math right you should get this answer: x<=1

Step-by-step explanation:

5x<=-3x+8

5x+3x<=-3~x+8+3x

8x<=-3x+8+3x

8x<=-3x+3x+8

8x<=8

5x²-2x+16=4x²+6x

5x²-2x+16-4x²-6x=0

x²-8x+16=0

D= b²-4ac

= (-8)²-4×1×16

=0

x=-b/2a

= 8/2

=4

-> B

Answer:

4! I figured it would be more than just one answer but it’s only 4

Step-by-step explanation:

The length of guy wire needed to make an angle of 30° with the ground is 310 feet. The angle between the end of the shadow and the vertical side of the building is 23°

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

a) Let l represent the length of the guy wire.

sin(30) = (170 - 15) / l

l = 310 feet

b) Let Ф represent the angle, hence:

tanФ = 100/230

Ф = 23°

The length of guy wire needed to make an angle of 30° with the ground is 310 feet. The angle between the end of the shadow and the vertical side of the building is 23°

Find out more on trigonometric ratio at: https://brainly.com/question/24349828

The perimeter of the room is 624 inches.

We need 657 tiles to cover the floor.

We need to add 66 extra tiles to account for the overage due to grout and waste.

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

Length = 10 ft 9in

Width = 15ft 3 in

a.

Perimeter = 2 (Length + Width)

Length = 10 ft 9 in = (10 x 12) + 9 = 129 in.

Width = 15 ft. 3 in. = (15 x 12) + 3 = 183 in

Perimeter.

= 2(129 + 183)

= 624 in.

b.

Area = Length x Width

Area = 129 in. x 183 in

Area == 23,607 in²

Each tile covers an area of 6 in. x 6 in

Area of tiles = 36 in²

So,

The number of tiles required.

= Area ÷ Tile area

= 23,607 in² ÷ 36 in²

≈ 656.3 tiles.

c.

10% of 657

= 10/100 x 657  

= 0.1 x 657

= 65.7

= 66

Thus,

The perimeter of the room is 624 inches.

We need 657 tiles to cover the floor.

We need to add 66 extra tiles to account for the overage due to grout and waste.

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ2

Answer:

y = -5x + 9.

Step-by-step explanation:

Lets look for the relation between x and y.

Try the first one:

When x = -2, y = -(-2) + 10 = 12  

In the table y = 1 so its not this one.

Number 2:

x = -2, y = 10(-2) + 1  = -18 - Not thios one

Number 3:

When x = -2, y = -10(-2)  - 9 = 11

Not this one

Number 4:

y = -5(-2) - 9 = 1

This is the one.

Check again with x = 0:

When x = 0, y = -5(0) - 9 = -9.

Answer:

Step-by-step explanation:

You got 91% of the questions right out of 175. In math words, this is saying that:

[tex]\frac{91}{100}*175=x[/tex]

[tex]x=159.25[/tex]

So, you got 175 - 159 = 15.75 questions wrong. The decimal could be from getting only part of a question wrong. So you got partial credit for one question

Answer: 15

Step-by-step explanation:

160/175

=0.914285714285 or 0.91

175-160

=15

...And there you go

The statement that determines if an expression has its value between 0 and 1 is the IF conditional statement

To find if the value of an expression is between 0 and 1, we make use of an IF conditional statement

Assume the programming language is Python, and the expression is represented by the variable x.

The statement that determines the range of the expression is:

if x >= 0 and x <= 1

Read more about if conditional statement at:

https://brainly.com/question/11073037

#SPJ1

Answer:

Hello! Here are your answers for Part A:

4(x + 6) - 11 = 25 is a multi-step equation.

-1/2(2/3a - 4) = 1/2a - 7 is an equation with rational coefficients.

y - 23 = 8 is a one-step equation.

-3m - 2 = -17 is a two-step equation.

For Part B:

Find the common denominator -

x/2 - 7 = 4

x/2 + 2(-7)/2 = 4

Combine the fractions with the common denominator -

x/2 + 2(-7)/2 = 4

x + 2(-7)/2 = 4

Multiply the numbers -

x + 2(-7)/2 = 4

x - 14/2 = 4

Multiply all terms by the same value to eliminate fraction denominators -

x - 14/2 = 4

2 * x - 14/2 = 2 * 4

Cancel multiplied terms that are in the denominator -

2 * x - 14/2 = 2 * 4

x - 14 = 2 * 4

Multiply the numbers -

x - 14 = 2 * 4

x - 14 = 8

Add 14 to both sides -

x - 14 = 8

x - 14 + 14 = 8 + 14

Simplify -

x - 14 + 14 = 8 + 14

x = 8 + 14

x = 22

The solution to this equation is 22. 6 is NOT a solution.

Hope this helps! Have a great day.

Simplify both sides to compare:

6^2 - 2^2 = 36-4 = 32

4(6+2) = 4 x 8 = 32

they are equal to each other.

Answer: B. =

Answer:

7

Step-by-step explanation:

To evaluate an expression given a valeu means to substitute the value in. So :

1/2(2)^4 - 1/4(2)²

First we do powers since we follow BODMAS/BIDMAS :

1/2(16) - 1/4(4)

Now we do multiplication:

8 - 1

Now we do the only step left of simplification through subtraction:

8 - 1 = 7

Hope this helped and brainliest please

The value of (1/2)x⁴ - (1/4)x² when x = 2 is 7.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is (1/2)x⁴ - (1/4)x².

We have to calculate the value of the expression when x = 2.

Substitute x = 2 in the expression.

(1/2)x⁴ - (1/4)x² = (1/2) (2)⁴ - (1/4) (2)²

                       = (1/2) × 16 - (1/4) × 4

                       = 16/2 - 4/4

                       = 8 - 1

                       = 7

Hence the value of the expression when x = 2 is 7.

To solve more problems on Expressions, click :

https://brainly.com/question/13949113

#SPJ2

Answer:

Bottom left & bottom right

Step-by-step explanation:

Bottom left & bottom right are only being moved in x-axis (i direction) & y-axis (j direction)

Top left uses translation and rotation

To right uses reflection

Answer:

C. 3x^2 -6

Step-by-step explanation:

f(x) = 2x^2 +1

g(x) = x^2 -7

(f+g)(x) is simply the sum of the above functions.

(f+g)(x) = 2x^2 +1 + x^2 -7 = 3x^2 -6

4\5 divided by 3\7

4/5 ÷ 3/7

4 = dividend numerator

5 = dividend denominator

3 = divisor numerator

7 = divisor denominator

To make it a fraction form answer, you multiply the dividend numerator by the divisor denominator to make a new numerator.

you multiply the dividend denominator by the divisor numerator to make a new denominator:

4 × 7/ 5 × 3

= 28/15

Thus, the answer to 4/5 divided by 3/7 in fraction form is 28/15.

Answer:

betwen year 5 and 6

Step-by-step explanation:

th prize will drop betwen 5 and 6 years.

i think its the correct answer

To find the surface area:

  ⇒ let's define what makes up the surface area of a cylinder

      ⇒ it is made up of two circles as its bases and its side is a long

          rectangular piece curved around

Area of Two Circles

⇒ Area of Circle Formula = [tex]\pi r^{2}[/tex]

     ⇒ Area of Two Circle Formula = [tex]2\pi r^{2}[/tex]

         ⇒ since r: is length of radius --> 0.75 cm (radius is half of diameter)

             ⇒ Area of Two circles:  [tex]2\pi (0.75)^{2} =3.5343[/tex]

Area of Rectangular piece curved around to form Cylinder

  ⇒ length: circumference of a circle ⇒ [tex]2\pi r[/tex]

       ⇒ width: height of the cylinder ⇒ 5cm

          ⇒ Area of Rectangular piece: [tex]2*\pi *0.75*5=[/tex] 23.5169

Total Area = 27.0512 = 8.6257[tex]\pi[/tex] square centimeters ⇒ Choice (B)

Hope that helps!

Answer:

56.25

Step-by-step explanation:

i just did the test

Answer:

Step-by-step explanation:

(a). sin2x + sinx = 0  ( 0 ≤ x ≤ 2π )

sin2x = 2sinx(cosx)

2 ( sin x )( cos x ) + sin x = 0

sin x ( 2 cos x + 1 ) = 0

sin x = 0 ⇒ x = 0 , [tex]\pi[/tex] , [tex]2\pi[/tex]

2 cos x = - 1

cos x = [tex]-\frac{1}{2}[/tex]  ⇒ x = [tex]\frac{2\pi }{3}[/tex] , [tex]\frac{4\pi }{3}[/tex]

x ∈ { 0 , [tex]\frac{2\pi }{3}[/tex] , [tex]\pi[/tex] , [tex]\frac{4\pi }{3}[/tex] , [tex]2\pi[/tex] }  

(b). sin 2x - 2 cos x = 0 ( 0 ≤ x ≤ 2π )

2 cos x ( sin x - 1 ) = 0

cos x = 0 ⇒ x = [tex]\frac{\pi }{2}[/tex] , [tex]\frac{3\pi }{2}[/tex]

sin x = 1 ⇒ x = [tex]\frac{\pi }{2}[/tex] , [tex]\frac{3\pi }{2}[/tex]

x ∈ {  [tex]\frac{\pi }{2}[/tex] , [tex]\frac{3\pi }{2}[/tex] }  

>.

hope it helps...!!!!!!

Answer:

1.5 litres

Step-by-step explanation:

1/2 of the punch in a 3 litre bottle is found by dividing 3 by 2, splitting it in half. 3÷2=1.5, or 1 and a half litres

Answer:

6 hours and 30 minutes my dude

Answer:

V = 2 144.66058485063 m³

Step-by-step explanation:

Formula : ( volume V of a sphere of radius r )

[tex]V\ =\ \frac{4}{3} \times \pi \times r^{3}[/tex]

Therefore

[tex]V\ =\ \frac{4}{3} \times \pi \times 8^{3}[/tex]

[tex]V\ =\ \frac{4}{3} \times \pi \times 512[/tex]

⇒ V = 2 144.66058485063 m³ (use a calculator)