All categories

2 years ago

Do Now-Find the size of a flat-screen tv given the length and

Mathematics

2 answers:

nika2105 [10]2 years ago

7 0

500 area
90 perimeter

zimovet [89]2 years ago

4 0

"Size" is ambiguous, so I'm giving you two answers.

When you hear that a TV is 40 inches, the length from one corner to the opposite corner diagonally is 40 inches. To solve, we use formula for hypotenuse, a^2 + b^2 = c^2.

20^2 + 25^2 = 32.02^2.

If that is what they mean by size, your answer is 32.02. However, size could refer to the area of the screen, which is calculated by length * width.

20 * 25 = 500

The answer in this case is 500.

You might be interested in

What is the volume of the prism

Sergeeva-Olga [200]

Answer:

Area of the base = 24 cm²

Height of the prism = 5 cm

Volume of the prism = 120 cm³

4 0

2 years ago

Graph the function. Label the vertex and axis of symmetry. g(x)=4x^2-48x+7

alina1380 [7]

Vertex: (3,-65) axis of Symmetry: x = 3

4 0

2 years ago

Find a polynomial function f(x) of degree 3 with real coefficients that satisfies the following conditions.

frosja888 [35]

Answer:

The polynomial will be $f(x) = \frac{4}{9}x(x - 2)^{2}$ .

Step-by-step explanation:

The three degree polynomial function f(x) has zeros at x = 0 and at x = 4 having multiplicity 2.

Therefore, (x - 0) and (x - 4)² will be factors of the polynomial f(x).

Hence, the polynomial will be f(x) = Ax(x - 4)² .............. (1), where A is any constant that we have to evaluate.

Now, given that f(5) = 20

So, from the equation (1) we have

20 = A(5)(5 - 2)²

⇒ $A = \frac{4}{9}$

Therefore, the polynomial will be $f(x) = \frac{4}{9}x(x - 2)^{2}$ (Answer)

4 0

3 years ago

Find the value of x. 3x(5+2)=16

Iteru [2.4K]

Answer:

16/21

Step-by-step explanation:

We are given the equation 3x(5 + 2) = 16.

By order of operations, let's add the two numbers in the parentheses first:

3x(5 + 2) = 16

3x(7) = 16

Now, we must multiply 3x by 7:

3x * 7 = 16

21x = 16

Divide both sides by 21:

x = 16/21

The answer is thus 16/21.

<em>~ an aesthetics lover</em>

8 0

3 years ago

Read 2 more answers

In triangle ΔABC, ∠C is a right angle and CD is the height to

Zina [86]

Answer:

$m\angle CDB=90\\m\angle CBD=90-\alpha\\m\angle BCD=\alpha\\\\m\angle CDA=90\\m\angle CAD=\alpha\\m\angle ACD=90-\alpha$

Step-by-step explanation:

The triangles are drawn below.

CD is perpendicular to AB as CD is height to AB.

Therefore, angles $m\angle CDB=m\angle CDA=90$ °

So, triangles ΔCBD and ΔCAD are right angled triangles.

Now, from the right angled triangle ΔABC,

$m\angle A+m\angle B =90\\\alpha+m\angle B=90\\m\angle B=90-\alpha$

From ΔCBD,

$m\angle CBD$ is same as $m\angle B$ .

So, $m\angle CBD=90-\alpha$

$m\angle BCD+m\angle BDC =90\\m\angle BCD+90-\alpha=90\\m\angle BCD=\alpha$

Now, from ΔCAD,

$m\angle CAD$ is same as $m\angle A$

So, $m\angle CAD=\alpha$

$m\angle CAD+m\angle ACD =90\\\alpha+m\angle ACD=90\\m\angle ACD=90-\alpha$

Hence, the unknown angles of both the triangles are:

$m\angle CDB=90\\m\angle CBD=90-\alpha\\m\angle BCD=\alpha\\\\m\angle CDA=90\\m\angle CAD=\alpha\\m\angle ACD=90-\alpha$

5 0

2 years ago