All categories

3 years ago

Triangle PQR is a right triangle. If RQ = 8, what is PQ?

Mathematics

1 answer:

juin [17]3 years ago

3 0

Tan30°=RQ/8

RQ=8 tan 30°

RQ=8 / 3

RQ= 8 / 3 / 3

HYPOTENUSE = 8

PQ=4

You might be interested in

Can anyone help with this probelm???

patriot [66]

We need to look at 2 similar triangles

1) big one: legs - a,b, and hypotenuse - c

2)small one: legs - h,s, and hypotenuse - b.

Corresponding sides:

hypotenuse - c and hypotenuse - b,

big leg - b and big leg - s,

small leg - a, and small leg h.

?(/b(big leg, big triangle)= b(hypotenuse, small triangle )/s (big leg, small triangle)

? should be hypotenuse of the big triangle, c.

Answer is second one c.

8 0

3 years ago

Find the highest common factor of 20 and 28

Vlad [161]

20: 1,2,4,5,10,20
28: 1,2,4,7,14,28

4 0

3 years ago

Read 2 more answers

Simplify the expression to a + bi form: (9+7i)(6 + i)

Scorpion4ik [409]

$(9 + 7i)(6 + i) \\ = 54 + 9i + 42i + 7 {i}^{2} \\ = 54 + 51i - 7 \\ = 47 + 51i$

I hope I helped you^_^

6 0

3 years ago

Read 2 more answers

The sum of two polynomials is 8d5 – 3c3d2 + 5c2d3 – 4cd4 + 9. If one addend is 2d5 – c3d2 + 8cd4 + 1, what is the other addend?

MatroZZZ [7]

Answer:

a. $x = 6d^5 - 2c^3d^2 + 5c^2d^3 - 12cd^4 + 8$

Step-by-step explanation:

Given that

$8d^5 + 3c^3d62 + 5c^2d^3 - 4cd^4 + 9$

Now

if one is added i.e.

$2d^5 - c^3d^2 + 8cd^4 + 1$

Now let us assume the other polynomial be x

So,

$8d^5 + 3c^3d62 + 5c^2d^3 - 4cd^4 + 9 = x + (2d^5 - c^3d^2 + 8cd^4 + 1)\\\\x = 8d^5 + 3c^3d62 + 5c^2d^3 - 4cd^4 + 9 - (2d^5 - c^3d^2 + 8cd^4 + 1)\\\\$

$x = (8d^5 - 2d^5) + (-3c^3d^2 + c^3d^2) + 5c^2d^3+ (-4cd^4-8cd^4) + (9-1)\\\\x = 6d^5 - 2c^3d^2 + 5c^2d^3 - 12cd^4 + 8$

8 0

3 years ago

Read 2 more answers

A small pizza at Little Italy pizzeria costs $9.25, and each topping is an additional $0.50. So the cost of ordering a pizza can

Vera_Pavlovna [14]

Answer:

Graph the equation is shown below.

Step-by-step explanation:

The linear equation representing the relation between cost of ordering a pizza and the number of additional toppings is:

$y=0.50x+9.25$

Here,

y = cost of the pizza

x = number of toppings

The graph of the linear equation is shown below.

Consider the point (2, 10.25).

When x = 2 compute the value of y as follows:

$y=0.50x+9.25\\=(0.50\times 2)+9.25\\=10.25$

The point (2, 10.25) satisfies the equation.

Again consider a point (18, 18.25).

When x = 18 compute the value of y as follows:

$y=0.50x+9.25\\=(0.50\times 18)+9.25\\=18.25$

The point (18, 18.25) satisfies the equation.

The two points are also plotted on the graph.

6 0

4 years ago