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gladu [14]
3 years ago
14

The area of triangle ABC is 1.89 square feet. The measure of side c is ______.

Mathematics
1 answer:
Feliz [49]3 years ago
7 0

we are given

Area is 1.89

A=40

b=2.8

now, we can use area formula

A=\frac{1}{2} c*b*sin(A)

1.89=\frac{1}{2} *c*2.8*sin(40)

now, we can solve for c

we will get

c=2.10023.............Answer

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Find the equation of the tangent line to the curve 4x3+2y2−11=4xy−x at the point (−1,2).
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Hello : let : y = f(x)     so : y' = f'(x)
calculate : f'(x)  and : f'(-1)  given f(-1) = 2

by derivate : <span>4x3+2y2−11=4xy−x
12x² +4yy' = 4y +4xy' - 1
4yy' - 4xy' = - 12x² +4y -1 
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if x = -1   y = 2 subsct in : (*)
y' (4(2)-4(-1)) = 4(2)-12(-1)² - 1
2y' = - 9 
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</span>of the tangent line to the curve <span>at the point (−1,2) is : 
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5 0
3 years ago
What happens when the a value gets smaller<br>​
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When the value of a slope of a line gets smaller, the line on a graph gets flatter.

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HELP ME WITH THIS EQUATION! 11 = y – 6 *
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Answer:

Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
The figure is made up of a cylinder, a cone, and a half sphere. The radius of the half sphere is 3 inches. What is the volume of
Irina18 [472]

Answer:

The volume of the composite figure is 84π ≅ 263.89 inches³

Step-by-step explanation

- The composite figure consists of :

# Half sphere with radius 3 inches

# Cylinder with radius 3 inches and height 6 inches

# Cone with radius 3 inches and height 4 inches

- The volume of the sphere is 4/3 π r³

∴ The volume of the half sphere = 1/2 × 4/3 π r³ = 2/3 π r³

- The volume of the cylinder is π r² h

- The volume of the cone is 1/3 π r² h

* Now lets solve the problem

- The volume of the half sphere

∵ The radius of the half sphere = 3 inches

∵ The volume of it = 2/3 π r³

∴ The volume = 2/3 × π × (3)³ = 18π inches³

- The volume of the cylinder

∵ The radius of the cylinder = 3 inches

∵ The height of the cylinder = 6 inches

∵ The volume of it = π r² h

∴ Its volume = π × (3)² × 6 = 54π inches³

- The volume of the cone

∵ The radius of the cone = 3 inches

∵ The height of the cone = 4 inches

∵ The volume of it = 1/3 π r² h

∴ Its volume = 1/3 π × (3)² × 4 = 12π inches³

- Add all the volumes to find the volume of the composite figure

∴ The volume = 18π + 54π + 12π = 84π = 263.89 inches³

* The volume of the composite figure is 84π ≅ 263.89 inches³

6 0
3 years ago
If a cone and sphere have the same radius and the same height, what is the relationship among the volumes of the two shapes?
Korvikt [17]

Answer:

the volume of the sphere will be 4 times the volume of the cone;

Step-by-step explanation:

<u>The question is on volume comparison</u>

Volume of a sphere=4/3 \pi×r³

Volume of a cone= \pi/3×r²h

where r is the radius and h is the height

<u>Apply the condition</u>

If r=h=1 unit

Then volume of sphere will be= 4/3 × \pi×1³ = 4/3\pi

And volume of the cone will be= \pi/3 ×1²×1 =\pi/3

We can see the volume of the sphere will be 4 times the volume of the cone;

4/3\pi = 4×\pi/3

3 0
4 years ago
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