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3 years ago

What is the diameter of circle C?

Mathematics

1 answer:

Ganezh [65]3 years ago

5 0

Answer:

$d=2\sqrt{34}$

Step-by-step explanation:

Applying Pythagoras theorem on right angle triangle

$radius=r=\sqrt{(3)^2+(5)^2}$

$r=\sqrt{34}$

Diameter=2 x radius

$d=2r=2\sqrt{34}$

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Steve earns $9.45 less than twice the amount Bill earns. Steve earns $152.55. How much does Bill earn? Write an equation, Use x

Anna11 [10]

Equation
2x-9.45=152.55
x=81

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3 years ago

You withdraw 260$ from your bank account in 5 trips to the ATM. what is the average change in your account balance for each trip

N76 [4]

To find the average over 5 times, we have to divide the total by 5. Therefore, 260/5 = 52 = the average change in your account balance each trips. 260 = amount of money you withdraw, 5 = number of trips made by the ATM. We need to divide due to that if something is spread out equally 5 times, what you get in one time clearly won't be all of it

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3 years ago

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

URGENT WILL MARK BRAINLIEST

allochka39001 [22]

Explanation:

Draw altitude AD to segment BC such that point D is on BC. This creates right triangles ADB and ADC.

Hypotenuses AB and AC are given as congruent. Leg AD in each triangle is congruent to itself by the reflexive property of congruence.

Then the triangles ADB and ADC are congruent by the HL congruence theorem.

Angles B and C are corresponding parts of congruent triangles, so are congruent by CPCTC.

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3 years ago

I need help someone please

jolli1 [7]

Answer: Product of powers
---
The product of powers rules basically says that two powers, let's call them $a^{m}$ and $a^{n}$ , with the same base (a) multiplied together equals $a^{m+n}$ .

In your problem you can see that $a^{2}$ and $a^{3}$ are being multiplied together and the exponents are being added, which is what the "product of powers" law says.

3 0

4 years ago