4 (2a+3b)(5x+y)

How many factors make up this product ?

Answers

Answer 1
Answer: 5 i would think since each have different letters

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Answer the question. 20 points-4/13 + 5/26

Evaluate sinA for the triangle shown

Answers

The value of sinA in the triangle is 0.6. Then the correct option is A.

What is trigonometry?

Trigonometry is the branch of mathematics that set up a relationship between the sides and angle of the right-angle triangles.

In the given triangle base is 8 and the perpendicular is 6 units. To calculate sinA we need hypotenuse and then use the Pythagorean theorem.

H² = P² + B²

H² = 6² + 8²

H² = 36 + 64

H² = 100

H = 10

The angle sinA is the ratio of perpendicular and hypotenuse.

sinA = P / H

sinA = 6 / 10

sinA = 0.6

Hence, the correct answer is option A.

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Answer:

0.6

Step-by-step explanation:

A right prism has a base that is an equilateral triangle. The height of the prism is equal to the height of the base. If the volume of the prism is 81, what are the lengths of the sides of the base?

Answers

Answer:

Lengths of the sides (there are 3 sides in an equilateral triangle) of the base of prism is5.72cm each.

Step-by-step explanation:

As the base of triangular prism is equilateral:

∴ Area of base = (√ 3 / 4)× (side)²

According to question:

height of prism = height (side) of base

Volume of prism = 81 cm³,

Volume of prism = Area of base x height

⇒  81 cm³ = (√ 3 / 4)× (side)² × height       ∵ side = height

⇒   81 cm³ = (√ 3 / 4)× (side)³

⇒  81 × (4/√3) cm³ = side³    

⇒  ∛(81 × (4/√3) cm = side

⇒  side = 5.72cm

(14 POINTSS+ BRAINLIESTT)How are food and oxygen made during the process of photosynthesis?

Answers

Answer:

Chlorophyll can make food the plant can use from carbon dioxide, water, nutrients, and energy from sunlight. This process is called photosynthesis. During the process of photosynthesis, plants release oxygen into the air. People and animals need oxygen to breathe

Step-by-step explanation:

Step-by-step explanation:

Through the process of photosynthesis. Carbon Dioxide and water enter the plant, and Glucose, energy (ATP), and oxygen are produced. The equation is:

6CO2+6H2O--------->C6H12O6 + 6O2

hope this helps :)

Use the work shown below to write the equation for a line that has a slope of and passes through (15, –2). y = mx + b What is the equation of the line in slope-intercept form?

Answers

Answer:

D

Step-by-step explanation:

y = -2/5x+4

Hope I helped all you have to do is subsitute the values for m and b!

Answer:

y = -2

Step-by-step explanation:

You would use the Point-SlopeFormulasince we are given a point:

y - y₁ = m(x - x₁)

y + 2 = 0

y = -2

Because there was no rateofchange[slope] given, it was automatically assumed to be a zero slope, which is a horizontal line.

I am joyous to assist you anytime.

On the moon, the distance d (in feet) that an object falls intime t (in seconds) is modeled by the function d(t) = 8/3 t
Suppose an astronaut on the moon drops a tool. How long
does it take the tool to fall 4 feet?

Answers

Answer:

3/2

Step-by-step explanation:

If d = feet and the question is how long it takes if a tool falls down 4 feet then plug that in the equation, which is 4 = 8/3 t

Then bring the 3 to the other side by multiplying which is 8x = 12

Lastly it is 12/8, simplified to 3/2

Final answer:

The astronaut's tool would take 1.5 seconds to fall 4 feet on the moon when using the given function d(t) = 8/3 t.

Explanation:

To find the time it takes the tool to fall 4 feet on the moon, we would need to set the distance d equal to 4 in the given mathematical expression and solve for t. So we would use the given function d(t) = 8/3 t.

  1. Set d(t) equal to 4: 4 = 8/3 t
  2. Solve for t by multiplying both sides with the reciprocal of 8/3 which is 3/8: t = 4 * 3/8
  3. Simplify to find: t = 1.5 seconds

So the astronaut's tool would take 1.5 seconds to fall 4 feet on the moon.

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12
x

8
y
=
24
6
x

y
=
21

Answers

Answer: x=4

              y=3

Step-by-step explanation:

12x-8y=24

6x-y=21

---------------------

y=6x-21

12x-8(6x-21)=24

12x-48x+168=24

-36x=-144

x=144/36

x=4

y=24-21

y=3