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3 years ago

The hypotenuse of a 45°-45°-90° triangle measures 4 cm. What is the length of one leg of the triangle?

Mathematics

1 answer:

Vlad [161]3 years ago

6 0

multiply 4 by the cos(45)

4 x cos(45) = 2sqrt(2) approximately 2.828cm

so depending how you are supposed to answer, either 2 sqrt(2) or approximately 2.83 cm

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A bag contains blue marbles and red marbles, 58 in total. The number of blue marbles is 4 more than 5 times the number of red ma

tatiyna

Answer:

49 blue marbles

Step-by-step explanation:

From the question we are given;

Total number of marbles = 58
Blue marbles are 4 more than 5 times the red marbles

We need to determine the number of blue marbles;

Assuming the number of red marbles is x

Then, blue marbles will be 5x + 4

Therefore;

x + 5x + 4 = 58

6x + 4 = 58

6x = 54

x = 9

5x + 4 = 5(9) + 4 = 49

Therefore, the red marbles are 9 while the blue marbles are 49

Hence there are 49 blue marbles

3 0

3 years ago

Which expression is the product of (x + 4i)(x − 4i)(x + 4)?

Sophie [7]

Answer= x³+4x²+16x+64

Expand the following:(x + 4 i) (x - 4 i) (x + 4)
(x - 4 i) (x + 4) = (x) (x) + (x) (4) + (-4 i) (x) + (-4 i) (4) = x^2 + 4 x - 4 i x - 16 i = -16 i + (4 - 4 i) x + x^2:
-16 i + (-4 i + 4) x + x^2 (4 i + x)
| | | | x | + | 4 i
| | x^2 | + | (4 - 4 i) x | - | 16 i
| | | | (-16 i) x | + | 64
| | (4 - 4 i) x^2 | + | (16 + 16 i) x | + | 0
x^3 | + | (4 i) x^2 | + | 0 | + | 0
x^3 | + | 4 x^2 | + | 16 x | + | 64:
Answer: x^3 + 4 x^2 + 16 x + 64

7 0

3 years ago

Read 2 more answers

Mrs. Isabelle is making paper and plastic foam animals for her first-grade class. She is calculating the amount of wasted materi

PSYCHO15rus [73]

We are given square with side length l. The largest circle that we can cut from that square has diameter equal to that side. This circle is called inscribed circle.

When cutting circle from square paper we will be left with some extra paper. Area of that extra paper can be calculated using formula:
area_of_extra_paper = area_of_square - area_of_circle

Now we can insert formulas:
$A = l^{2} - ( \frac{l}{2} )^{2} * \pi \\ A=l^{2} - \frac{l^{2}}{4} * \pi \\ A=l^{2} (1- \frac{ \pi }{4} )$

This is area of extra paper when we cut one circle. When we cut multiple circles we have:
$A=N*l^{2} (1- \frac{ \pi }{4} )$
Where:
N = number of circles
This formula is roughly:
$A=0.785*N*l^{2}$

6 0

3 years ago

Look at each equation. Is the equation linear? Select Yes or No.

ivanzaharov [21]

Answer: where’s the image? so i can see the equations

Explanation:

6 0

3 years ago

If the perimeter of a square is 20, find the length of a diagonal. Round your answer to the nearest tenth.

valentinak56 [21]

Since a square is equal on all 4 sides, that means each side would be 5, because 20/4=5

so using the Pythagorean thrm (which we can use since a square has all 90 degree angles)

a=5 b=5 c=?

5^2+5^2=c^2
25+25=c^2
50=c^2 *square root both sides*
c= 7.07

So the answer would be 7.1

4 0

3 years ago

Read 2 more answers