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4 years ago

I need help please.

Mathematics

1 answer:

skelet666 [1.2K]4 years ago

5 0

Answer:

Step-by-step explanation:

(x²-6x-3)(7x²-4x+7)= ?

Multiply each term of 2nd bracket with the 1st bracket:

=7x²(x²-6x-3) -4x(x²-6x-3) +7(x²-6x-3)

=7x^4-42x^3-21x^2-4x^3+24x^2+12x+7x^2-42x-21

Now solve the like terms:

=7x^4-46x^3+10x^2-30x-21

Therefore the answer is (x²-6x-3)(7x²-4x+7)=7x^4-46x^3+10x^2-30x-21 ....

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The diagrams shows a 3cm x 5cm x 4cm cuboid.

Vera_Pavlovna [14]

Answer:

a) 5.83 cm

b) 34.45°

Step-by-step explanation:

a) From Pythagoras theorem of right triangles, given right triangle ABC:

AB² + BC² = AC²

Therefore:

AC² = 5² + 3²

AC² = 25 + 9 = 34

AC = √34

AC = 5.83 cm

b) From triangle ACD, AC = 5.83 cm, AD = 4 cm and ∠A = 90°.

From Pythagoras theorem of right triangles, given right triangle ACD:

AD² + AC² = DC²

Therefore:

DC² = 5.83² + 4²

DC² = 34 + 16 = 50

DC = √50

DC = 7.07 cm

Let ∠ACD be x. Therefore using sine rule:

$\frac{4}{sin(x)}=\frac{7.07}{sin(90)} \\ sin(x)=\frac{4*sin(90))}{7.07}=0.5657\\ x=sin^{-1}(0.5657)\\x=34.45^o$

6 0

3 years ago

Trisha knit a total of 8 centimeters of scarf over 4 nights. How many nights will Trisha have to spend knitting in order to knit

Gnom [1K]

Answer: 6

Step-by-step explanation:

You would divide the number by the other number to get the awnser

6 0

3 years ago

Read 2 more answers

the endpoints of the diameter of a circle are (−6, 6) and (6, −2), what is the standard form equation of the circle?

miss Akunina [59]

The equation of a circle in standard form is

$(x - h)^2 + (y - k)^2 = r^2$

where (h, k) is the center of the circle, and r is the radius if the circle.

We need to find the radius and center of the circle.
We are given a diameter, so to find the center, we need the midpoint of the diameter.

M = ((-6 + 6)/2, (6 + (-2))/2) = (0, 2)
The center is (0, 2).

To find the radius, we find the length of the given diameter and divided by 2.

$d = \sqrt{(-6 - 6)^2 + (6 - (-2))^2)}$

$d = \sqrt{144 + 64}$

$d = \sqrt{208}$

$r = \dfrac{d}{2} = \dfrac{\sqrt{208}}{2} = \dfrac{\sqrt{208}}{\sqrt{4}} = \sqrt{52}$

$(x - 0)^2 + (y - 2)^2 = (\sqrt{52})^2$

$x^2 + (y - 2)^2 = 52$

7 0

3 years ago

What is the volume of a cylinder with a radius of 9 inches and a height of 2 inches? Use 3.14 for pi. Round your answer to the n

Luden [163]

561.75 is your answer i hope i helped you get it right

7 0

3 years ago

The ratio of jumps to falls for ice skater Rhonda is 4 falls to every 15 jumps. At this rate, how many times will she not fall i

Inessa05 [86]

<u>Answer:</u>

Rhonda will not fall 264 times in 360 jumps.

<u>Solution:</u>

Given, The ratio of jumps to falls for ice skater Rhonda is 4 falls to every 15 jumps.

We have to find At this rate, how many times will she not fall in 360 jumps.

Now,

For 15 jumps → 4 falls

For 360 jumps → n falls

Now apply Chris cross method,

$15 \times n=360 \times 4 \rightarrow n=\frac{360 \times 4}{15}=24 \times 4=96$

So, she falls 96 times in 360 jumps.

Then, number of times she will not fall = 360 jumps – 96 falls = 264 times.

Hence, Rhonda will not fall 264 times in 360 jumps.

8 0

3 years ago