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3 years ago

Pls help me with this

Mathematics

1 answer:

kvasek [131]3 years ago

7 0

Answer:

1st one is positive

2nd one is negative

3rd one is negative

4th one is positive

Step-by-step explanation:

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Multiply:<br><br> (-4 + i)(-1 + 5i)

Olegator [25]

Answer:

$( - 4 + i) ( - 1 + 5i) \\ = 4 - 20i - 1i + 5 {i}^{2} \\ = 4 - ( -21i )+ 5i {}^{2}$

3 0

4 years ago

Find the area of each shaded segment in nearest tenth.

shepuryov [24]

Answer:

Denote the center of circle as O, the 2 endpoints of shaded segment as AB, then we have:

section OAB area = pi x radius^2 x (120/360) = pi x 6^2 x (1/3) = 37.7 (cm2)

Considering triangle OAB, we have OA = OB = radius, angle AOB = 120 deg. Denote OH as the height of triangle. H lies on AB.

=> Applying cosine and sine theorem in right triangle AHO:

OH = OA x cos 60 = 6 x (1/2) = 3 (cm)

AH = OA x sin 60 = 6 x (sqrt3)/2 = 5.2 (cm)

=> triangle AOB area:

A = triangle AOH area x 2

= AH x OH x (1/2) x 2 = 3 x 5.2 x (1/2) x 2 = 15.6 (cm2)

=> shaded segment area = section OAB area - triangle AOB

= 37.7 - 15.6 = ~21.1 (cm2)

Hope this helps!

7 0

3 years ago

Which figure shows the correct dimensions of a 7/10-scale drawing of the given figure?

Ray Of Light [21]

Answer:

Option D.

Step-by-step explanation:

The give figure is a triangle having hypotenuse h = 40 in.

Now we have to select the scaled figure having dimensions with a scale factor of $\frac{7}{10}$

For option A.

Ratio of hypotenuse of both the triangles = $\frac{7}{40}$ $\neq \frac{7}{10}$

Therefore,this option is not correct

For option B.

Ratio of both the hypotenuse = $\frac{4}{40}=\frac{1}{10}\neq \frac{7}{10}$

So, option is not correct.

For option C.

Ratio of hypotenuse = $\frac{5.7}{40}\neq \frac{7}{10}$

Therefore, option is not the correct option.

For option D.

Ratio of hypotenuse = $\frac{28}{40}=\frac{7}{10}$

Therefore, option D is the correct option.

4 0

3 years ago

Find the perimeter of the shaded region

Bond [772]

Answer:

13 u²

Step-by-step explanation:

8 0

3 years ago

The number of decimal places in the product will be sum of the factor"s decimal place.So the product will have 1,2,3 or 4 decima

vampirchik [111]

Answer:

$0.47 \to 2\ digits$

$3.2 \to 1\ digit$

$Product \to 3\ digits$

Step-by-step explanation:

Given

$0.47 * 3.2 =$

See comment for complete question

Required

The number of decimal places

To do this, we simply calculate the number of digits after the decimal points

$0.47 \to 2\ digits$

$3.2 \to 1\ digit$

The product is the sum of the digits above 2 + 1 = 3

Hence:

$Product \to 3\ digits$

6 0

3 years ago