All categories

3 years ago

The following equation is given.

Mathematics

1 answer:

SashulF [63]3 years ago

7 0

5x² - 9x + 45 = 0

Δ = b² - 4.a.c

Δ = (-9)² - 4 . 5 . 45

Δ = 81 - 4. 5 . 45

Δ = -819

There's no real root.

You might be interested in

(-----×1/4)÷6×3/9 I need the step to this problem so that I explain to my grandson how he he gets the answer

lesya692 [45]

Answer:

-----×1/72

Step-by-step explanation:

The order of operations says do these operations in order left to right. Please note that ÷ means the same as / unless you define it otherwise in your problem statement.

If you intend the ÷ symbol to be used to indicate everything to its left is divided by everything to its right, it is appropriate to use parentheses for that grouping, as in ...

(-----×1/4)÷(6×3/9) = (-----×1/4)÷2 = -----×1/8

_____

Here, we're going to evaluate what you have written according to the usual rules as described above.

(-----×1/4)÷6×3/9 = -----×1/24×3/9 = -----×(3/24)/9

= -----×1/8/9

= -----×1/72

_____

Comment on the arithmetic

Fractions are multiplied and divided in the usual way:

a/b×c = (a×c)/b

a/b/c = (a/b) × (1/c) = a/(b×c)

___

Comment on fractions and parentheses

Please note that parentheses are required on any numerator or denominator that consists of anything other than a single number or variable. (The exception is the case where the numerator is a product, because a·b/c = (a·b)/c with or without the parentheses.)

6 0

3 years ago

A lampshade has a height of 12cm and upper and lower diameters of 10cm and 20cm A)what area of material is required to cover tha

netineya [11]

Answer:

$(a)\ Area = 195\pi$

$(b)\ Volume = 700\pi$

Step-by-step explanation:

Given

$h = 12$

$d_1 = 10$ --- lower diameter

$d_2 = 20$ --- upper diameter

Solving (a): The curved surface area

This is calculated as:

$Area = \pi l(r_1 + r_2)$

Where

$r_1 = 0.5 * d_1 = 0.5 * 10 = 5$ --- lower radius

$r_2 = 0.5 * d_2 = 0.5 * 20 = 10$ --- upper radius

And

$l = \sqrt{h^2 + (r_1 - r_2)^2$ ---- l represents the slant height of the frustrum

$l = \sqrt{12^2 + (5 - 10)^2$

$l = \sqrt{12^2 + (-5)^2$

$l = \sqrt{144 + 25$

$l = \sqrt{169$

$l = 13$

So, we have:

$Area = \pi l(r_1 + r_2)$

$Area = \pi * 13(5 + 10)$

$Area = \pi * 13(15)$

$Area = 195\pi$

Solving (b): The volume

This is calculated as:

$Volume = \frac{1}{3}\pi * h * (r_1^2 + r_2^2 + (r_1 * r_2))$

This gives:

$Volume = \frac{1}{3}\pi * 12 * (5^2 + 10^2 + (5 * 10))$

$Volume = \frac{1}{3}\pi * 12 * (25 + 100 + (50))$

$Volume = \frac{1}{3}\pi * 12 * (175)$

$Volume = \pi *4 * 175$

$Volume = 700\pi$

6 0

3 years ago

How can I solve this question???

eduard

Answer:

144°

Step-by-step explanation:

step 1

Find the measure of the central angle of the regular pentagon

Divide 360 degrees by 5 (the number of sides)

$360\°/5=72\°$

Let

c----> the center of the pentagon

we know that

m∠ECA=72°

m∠ACB=72°

therefore

m∠ECB=m∠ECA+m∠ACB

substitute the values

m∠ECB=72°+72°=144°

The measure of angle ECB is equal to the degrees that the pentagon rotate

5 0

3 years ago

The preimeter of the rectangle is 154 feet.The length of the rectangle is 55 feet.What is the width of the rectangle.

Alja [10]

Answer:

Step-by-step explanation:

The preimeter is adding all sides together. I took 154-55 twice sense we have four sides of a rectangle and two are lengths. after that i got 44. I then just remembered we had two sides left so divided that by 2 and got 22

7 0

3 years ago

A small pouch contains 8 black marbles, 5 white marbles, and 12 red marbles. What is the probability of picking a red then a bla

Alina [70]

Answer:

8/600

Step-by-step explanation:

4 0

3 years ago