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2 years ago

Need help really bad please and thank you!

Mathematics

2 answers:

victus00 [196]2 years ago

8 0

Answer:30.9 cm

Step-by-step explanation: =X/35

X= 35 cos 28'

X= 30. 90cm

width 06

Rectangle = 30.9cm

VLD [36.1K]2 years ago

5 0

Answer:

Step-by-step explanation:

The side opposite the given width of x is also x.

So you have to relate 3 facts.

The angle

The adjacent side

The hypotenuse.

Formula

Cos(28) = x / 35

Solution

Cos(28) = x / 35 Multiply both sides by 35

35 cos(28) = 35 * x / 35 Cancel

35 cos(28) = x Multiply

30.90 = x

Rounded, it is 30.9

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Factor the trinomial!! PLEASE HELP and if possible please explain how to do this!!

Nikitich [7]

Answer:

d. a = 39

Step-by-step explanation:

Question:

for which value of "a" will the trinomial be factorizable.

x^2+ax-40

For the expression to have integer factors, a = sum of the pairs of factors of -40.

-40 has following pairs of factors

{(1,-40), (2,-20, (4,-10), (5,-8), (8, -5), (10,-4), (20,-2), (40,-1) }

meaning that the possible values of a are

+/- 39, +/- 18, +/- 6, +/- 3

out of which only +39 appears on answer d. a=39

4 0

3 years ago

Type the correct answer in the box. Rewrite the quadratic equation in the form y = a(x − h)2 + k. y=5x^2-30x+95

S_A_V [24]

Answer:

y = 5(x - 3)^2 + 50

Step-by-step explanation:

The problem wants you to rewrite the quadratic equation in the vertex form y = a(x - h)^2 + k

You are given a quadratic equation in standard form (ax^2 + bx = c).

To convert from standard form to vertex form, there are two ways but I will show you the easier(?) way.

Use the formula x = -b/2a to find the x-value (h) of the vertex. Note that the vertex in "vertex form" is (h, k) which is virtually the same as (x, y).

In y = 5x^2 - 30x + 95, a = 5, b = -30, and c = 95. Substitute a and b into the formula -b/2a.

-(-30) / 2(5)

Two negative make a positive, so -(-30) becomes 30 and 2 times 5 is 10. Now we have:

30/10 which simplifies down to 3.

The x (h) value of the vertex is 3. To find the y-value, substitute 3 into the original standard form equation.

y = 5(3)^2 - 30(3) + 95
= 5(9) - (90) + 95
45 - 90 + 95
50

The y (k) value of the vertex is 50. Now we have: (h, k) ⇒ (3, 50).

Substitute the values for h and k into the vertex form.

y = a(x - 3)^2 + 50

We still need the a-value, and this is easy to find. You take the a value from the original standard for equation (remember: <u>a</u>x^2 + bx + c)

So our a-value is 5. Now we can substitute this value into the vertex form and complete the question.

y = 5(x - 3)^2 + 50

6 0

3 years ago

? A mug can hold 13.46 oz of coffee without overflowing. The radius of the mug is 3 cm. Given that 1 cm3 equals 0.034 oz, what i

Elan Coil [88]

Answer:

14 cm

Step-by-step explanation:

Given:

A mug can hold 13.46 oz of coffee.

The radius of the mug is 3 cm.

Given that 1 $cm^{3}$ equals 0.034 oz.

Question asked:

What is the height of the mug to the nearest centimeter ?

Solution:

Given that 1 $cm^{3}$ equals 0.034 oz.

By unitary method:

0.034 oz = 1 $cm^{3}$

1 oz = $\frac{1}{0.034}$

13.46 oz = $\frac{1}{0.034}\times13.46 =395.88 \ cm^{3}$

A mug can hold 13.46 oz of coffee means volume of cylinder is given which is 395.88 $cm^{3}$ . Now we can find the height of the mug by using volume of cylinder formula:

volume of cylinder = $\pi r^{2} h$