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3 years ago

Question 1 of 10

Mathematics

2 answers:

AveGali [126]3 years ago

8 0

Answer:

Option C

(4x + 5)(4x +5)

Step-by-step explanation:

Step 1: Write the expression

$16x^{2} + 40x + 25$

Step 2: Choose to integers that when you add you get 40 and when multiplied you get 400

The integers are +20 and +20

Step 2: Split 40x into + 20x nd + 20 x

Therefore

$16x^{2} + 40x + 25 = 16x^{2} + 20x + 20x + 25$

$16x^{2} + 20x + 20x + 25 = 4x(4x + 5) + 5(4x + 5)\\(4x + 5)(4x + 5)$

yulyashka [42]3 years ago

5 0

the answer is C

C. (4x + 5)(4x + 5)

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Read 2 more answers

The part of a cylindrical soup can that is covered by the label is 8.5 cm tall and has a diameter of 6.5 cm. What is the area of

julia-pushkina [17]

Answer:

$180.4~cm^2$

Step-by-step explanation:

<u>Surface Area</u>

The surface area of a cylinder of height h and radius r is given by:

$A=2\pi rh$

It only covers the lateral side of the cylinder. If both the top and the bottom sides are to be included, then:

$A=2\pi rh+2\pi r^2$

The label will cover only the lateral side of the soup can that has a height of h=8.5 cm and a diameter of 6.5 cm. We need to calculate the radius which is half of the diameter r=6.5 cm / 2 = 3.25 cm.

Now we calculate the side area of the can:

$A=2\pi (3.25)(8.5)$

$A=173.6~cm^2$

We need to add the 0.8 cm overlap to the total area already calculated. This overlap has 0.8 cm of width and 8.5 cm of height, so this overlap area is:

$A_o= 0.8*8.5=6.8~cm^2$

The total area of the label is:

$A=173.6~cm^2+6.8~cm^2=180.4~cm^2$

The area of the label is $\mathbf{180.4~cm^2}$

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3 years ago

A right triangle has one angle that measures 69º. What is the measure of the other acute<br> angle?

gavmur [86]

Answer:

21°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

subtract the sum of the 2 given angles from 180 for the other angle

other angle = 180° - (90 + 69)° = 180° - 159° = 21°

6 0

3 years ago

Plz help me I have been stuck on this for soo long plzz! Well mark brainliest ONLY if u are correct!

algol13

Answer:

Exact Form:

85/24

Decimal Form:

3.5416

Mixed Number Form:

3 13/24

Step-by-step explanation:

hope it helped and good luck

8 0

3 years ago