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3 years ago

What is the value of x?

Mathematics

1 answer:

Svetllana [295]3 years ago

3 0

Answer:

x = 4

Step-by-step explanation:

ΔTRQ is an isosceles right triangle, so if we find the value of RT then the value of 'x' will be the same

We can find RT by creating a proportion based on the ratio of sides in a 30-60-90° triangle which, respectively, is 1 : $\sqrt{3}$ : 2

2 $\sqrt{3}$ /RT = $\sqrt{3}$ /2

cross-multiply:

$\sqrt{3}$ · RT = 4 $\sqrt{3}$

RT = 4

Therefore, x = 4

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Write the recursive formula and the explicit formula for the sequence {-15,-7,1,9, 17,...}. Show all work.

Natali5045456 [20]

Answer:

8n-23

Step-by-step explanation:

a=-15 and d=8

so nth term=-15+(n-1)8

=8n-23

6 0

3 years ago

Chloe wants to wrap a present in a box for sarah. The top and bottom of the box is 8in by 3in, the sides are both 3in by 2in and

timama [110]

Answer:

92 sq. inches

Step-by-step explanation:

Total paper required = total surface area

Surface area of a cuboid = 2[(l×b) + (l×h) + (b×h)],

Where 'l' is the length, 'b' is the breadth and 'h' is the height

For the box, total surface area = 2[(8×3) + (3×2) + (8×2)]

=2[24 + 6 + 16]

=2[46]

= 92 sq. inches

6 0

3 years ago

Read 2 more answers

Emily read 24 fiction books and 2 nonfiction books. What is the ratio of the number of fiction books she read to the total numbe

Tems11 [23]

The ratio of number of fiction books to total number of books that she read 12:13.

Given :

Emily reads 24 friction books and 2 nonfiction books.

Number of fiction books she read =24

Number of nofiction boos she read = 2

Total number of books = 26

To Find :

What is the ratio of the number of fiction books she read to the total number of books that she read ?

Solution :

Total number of books that she read=24+2=26

number of fiction books she read=24

Thus ratio of number of fiction books to total number of books that she read

⇒ $\frac{24}{26}$

⇒ $\frac{12}{13}$

⇒ 12: 13

Hence ratio of number of fiction books to total number of books that she read 12 : 13

To know more about total number of books visit :

brainly.com/question/1179123

#SPJ1

4 0

1 year ago

Solve the equation. Check your solutions. |4b+4|=|2b+8|

anzhelika [568]

Answer:

Explanation:

|4b + 4| = |2b + 8|

Solve absolute value

|4b + 4| = |2b + 8|

Either 4b + 4 = 2b + 8 or 4b + 4 = −(2b + 8)

4b + 4 = 2b + 8 (Possibility 1)

4b + 4 − 2b = 2b + 8 − 2b (Subtract 2b from both sides)

2b + 4 = 8

2b + 4 − 4 = 8 − 4 (Subtract 4 from both sides)

2b = 4

2b / 2 = 4 / 2 (Divide both sides by 2)

b = 2

4b + 4 = −(2b + 8) (Possibility 2)

4b + 4 = −2b − 8 (Simplify both sides of the equation)

4b + 4 + 2b = −2b − 8 + 2b (Add 2b to both sides)

6b + 4 = −8

6b + 4 − 4 = −8 − 4 (Subtract 4 from both sides)

6b = −12

6b / 6 = -12 / 6 (Divide both sides by 6)

b = -2

6 0

3 years ago

If r = 4 units and x = 13 units, then what is the volume of the cylinder

irina [24]

Im going to go with the volume being 653.45 because v = pie r squared h = pie times 4 squared times 13 which equals 653.45... hope its correct !

6 0

3 years ago