Write a decimal that is 1\10 of 0.9

Find the value if the following expression for the given value of variable. 6t^2 for t = 3

maw [93]

This means it’s 6(3)^2. The PEMDAS process will help in this situation. Since exponents (E) come before multiplication (M), you would raise 3 to the 2nd power first. 3^2 is the same as 3 times 3, which equals 9. Now, you can multiple 6 by 9, which would result with 54. 54 is your answer!

4 0

3 years ago

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A certain triangle has a 30 degree angle and a 60 degree angle. Which of the following must be a true statement about the triang

12345 [234]

we know that

If the triangle has a $30$ degree angle and a $60$ degree angle, then the third angle is a $90$ degree angle

so

is a right triangle

$Sin(30\°)=Cos(60\°)=\frac{1}{2}$

$Cos(30\°)=Sin(60\°)=\frac{\sqrt{3}}{2}$

Statements

A. The second-longest side is twice as long as the shortest side.

we know that

the ratio between the second-longest side and the shortest side is

$\frac{\sqrt{3}}{1}$

therefore

the statement A is False

B. The longest side is twice as long as the shortest side

we know that

the ratio between the longest side and the shortest side is

$\frac{2}{1}$

therefore

the statement B is True

C. Two sides of the triangle have the same length

The statement C is False, because is not an isosceles triangle (45-90-45)

D. The longest side is square root 3 times as long as the shorted side

we know that

the ratio between the longest side and the shortest side is

$\frac{2}{1}$

The longest side is twice as long as the shortest side

therefore

The statement case D is False

the answer is the option

B. The longest side is twice as long as the shortest side

5 0

3 years ago

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Emily had 30 cookies to bring to school for her birthday. Three students wanted two cookies each. Then, a new student came to th

Masteriza [31]

Answer: 23

Step-by-step explanation:

Step 1. 30-6=24

Step 2. 24-3=21

Step 3. 21+2=23

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3 years ago

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The diameter of a circle is 6inches . What is the circumference

Sergeu [11.5K]

18.84956 hope that helps

8 0

3 years ago

The perimeter of a rhombus is 180 cm and one of its diagonals is 72 cm. Find the length of the other diagonal and area of the rh

rewona [7]

Hi there! :)

Answer:

Length of the second diagonal: 54 cm

Area of the rhombus: 1,944 cm²

Step-by-step explanation:

1) To find the value of the second diagonal, you first need to know some important properties of rhombuses:

Since the perimeter is 180, and by definition a rhombus has four congruent sides (of equal length), each side length of the rhombus is equal to 45.

The diagonals of rhombuses also form four right triangles, with hypotenuses equal to the side length of the rhombus and legs equal to half the lengths of the diagonals. In this case one hypotenuse would be equal to 45 and one leg would be equal to 36 (72 ÷ 2 = 36).

We can therefore use the Pythagorean Theorem to solve for one-half of the unknown diagonal:

c² = a² + b² → Where "c" is the hypotenus & "a" and "b" are the two other sides.

45² = 36² + b² → Where "b" is the half of the unknown diagonal.

We can now solve this equation for "b":

45² = 36² + b²

45² = 2,025

36² = 1,296

2,025 = 1,296 + b²

Subtract "1,296" from each side of the equation → 2,025 - 1,296 = 729

729 = b²

Square root on each side of the equation → √729 = 27

27 = b

Since "b" represents half of the unknown diagonal, we need to multiply by 2 to find the full length of the diagonal:

27 × 2 = 54 ⇒ Length of the other diagonal.

2) To find the area of the rhombus, you need to multiply the length of the 2 diagonals and divide the answer by 2:

(72 × 54) ÷ 2 = A

Multiply "72" & "54" together → 72 × 54 = 3,888

3,888 ÷ 2 = A

1,944 = A

There you go! I really hope this helped, if there's anything just let me know! :)

3 0

3 years ago