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4 years ago

a basketball cort is a rectangle with dimensions 29m by 16m. what is the length of a diagonalm to the nearest metre

1 answer:

8 0

To find diagonal we need to look at the right triangle with legs 29 m and 16 m, a hypotenuse of this triangle is a diagonal of the rectangle.

c² =29² + 16²= 1097 m²

c=√(1097) ≈ 33 m

Answer: 33 m.

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If Sin0=3/5, then cos0=? <br> Apex

alexandr1967 [171]

Answer:

4/5

Step-by-step explanation:

I believe you meant sin Ф = 3/5, since sin 0 = 0 (zero).

sin Ф = 3/5 = (opposite side) / (hypotenuse).

cos Ф = (adjacent side) / (hypotenuse)

Use the Pythagorean Theorem to find the length of the adjacent side:

(adj)² + (opp)² = (hyp)² becomes (adj)² = 5² - 3² = 25 - 9 = 16.

Then (adj) = +√16 = +4

and so cos Ф = (adj) / (hyp) = 4/5

3 0

3 years ago

The length of a rectangle is represented by 2x + 4, and its width is represented by 3x + 1. the perimeter of the rectangle is 25

defon

Formula to find perimeter
2(l + w) = perimeter

Input the algebra to the formula, and you'll find x
2(2x + 4 + 3x + 1) = 25
2(5x + 5) = 25
10x + 10 = 25
10x = 15
x = 1.5

3 0

3 years ago

Triangle ABC is an isosceles triangle in which side

Shkiper50 [21]

Answer:

Option B.

Step-by-step explanation:

Consider the below figure attached with this question.

It is given that triangle ABC is an isosceles triangle.

From the below figure it is clear that the vertices of triangle are A(-2,-4), B(2,-1) and C(3,-4).

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using this formula, we get

$AB=\sqrt{(2-(-2))^2+(-1-(-4))^2}=\sqrt{16+9}=5$

$BC=\sqrt{(3-2)^2+(-4-(-1))^2}=\sqrt{1+9}=\sqrt{10}$

$AC=\sqrt{(3-(-2))^2+(-4-(-4))^2}=\sqrt{25}=5$

Now,

Perimeter of triangle ABC = AB + BC + AC

$=5+\sqrt{10}+5$

$=10+\sqrt{10}$

So, perimeter of triangle ABC is $10+\sqrt{10}$ units.

Therefore, the correct option is B.

4 0

3 years ago

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The product shown is a difference of squares. What is the missing constant term in the second factor?

34kurt

Difference of two squares is of the form (a + b)(a - b) or vice-versa. Here, a = -5x and b = 3.
(-5x - 3)(-5x + 3)
Answer: 3

7 0

3 years ago

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(3a-3/4)*1/3 if a= 3/8 <br> PLS HELP!!

Lina20 [59]

Answer:

1/8

Step-by-step explanation:

Substitute a = 3/8 into the equation.

$(3*\frac{3}{8} - \frac{3}{4} ) * \frac{1}{3} = (\frac{9}{8} - \frac{6}{8}) * \frac{1}{3}$

$=\frac{3}{8} * \frac{1}{3} = \frac{1}{8}$

4 0

3 years ago

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