Ask question

Ask question

All categories

2 years ago

13

O is the centre of the circle, EF is a tangent, angle BCE=28 degrees, angle ACD=31 degrees.

1 answer:

Yuki888 [10]2 years ago

4 0

Answer:

a. 28˚

b. 76˚

c. 104˚

d. 56˚

Step-by-step explanation

a. because angle between tangent and chord is equal to the angle(s) in alternate segment.

b. because angles in triangles add up to 180˚, 180-28=152 and because isosceles triangle, 152/2=76˚

c. because angles in triangles add up to 180˚ and opposite angles in a cyclic quadrilateral add up to 180˚, 31+76=107, 180-107=73, 73-28=45, angles in triangle so 180-(31+45)=104˚

d. 28*2=56˚ because angles at circumference are half angles at centre

You might be interested in

5x + 3 - 2x<br> 3<br> Need answer soon

Greeley [361]

21 po nag calculator lang ako

7 0

2 years ago

Inia borrowed $1000 from a bank. The bank charged a 10% interest. How much interest would Inia pay to the bank? A. $1100 B. $900

lisabon 2012 [21]

Answer:

An $100 interest.

Step-by-step explanation:

10% of $1000 is $100.

In total, she'd have to pay $1100.

Just a cheerful teen willing to help,

wishing you a splendiferous day,

stay salty...

8 0

2 years ago

A right rectangular prism's edge lengths are 4 1 2 inches, 4 inches, and 3 inches. How many unit cubes with edge lengths of 1 3

fgiga [73]

Question:

A right rectangular prism's edge lengths are $4\frac{1}{2}$ inches, 4 inches, and 3 inches. How many unit cubes with edge lengths of $\frac{1}{3}$ inch can fit inside the prism?

Answer:

1458 cubes with edge lengths of $\frac{1}{3}$ inch can fit inside the prism.

Step-by-step explanation:

Given:

Dimensions of the rectangular prism = $4\frac{1}{2}$ inches, 4 inches, and 3 inches

length of Edge of the cube = $\frac{1}{3}$

To Find:

Number of unit cubes that can fit inside the prism =?

Solution:

Step 1: Finding the volume of the right rectangular prism

Volume of the right Rectangular prism is = $w\times h\times l$

where

w = width of theright Rectangular prism

h = height of the right Rectangular prism

l = lenght of the right Rectangular prism

Substituting the values ,

Volume of the right Rectangular prism is = $4\frac{1}{2}\times4\times 3$

Volume of the right Rectangular prism is = $\frac{9}{2}\times4\times 3$

Volume of the right Rectangular prism is = $4.5\times4\times 3$

Volume of the right Rectangular prism is = 54 $inch^3$

Step 2: Finding the volume of the cube

Volume of the cube = $(edge)^3$

Substituting the values,

Volume of the cube = $( \frac{1}{3})^3$

Volume of the cube = $( \frac{1}{27})$

Step 3: Find the number of cube that can fit in the cube.

Number of cubes = $\frac{\text{volume of the right Rectangular prism}}{\text{Volume of the cube}}$

Number of cubes = $\frac{54}{\frac{1}{27}}$

Number of cubes = $54\times27$

Number of cubes = 1458 cubes

7 0

2 years ago

Explain why the numerical expression 3 less than 16 is written as 16 - 3 and not 3 - 16

harkovskaia [24]

Well logically thinking 16 could not be less than 3!, That is not a reliable answer but more of an opinion!

7 0

3 years ago

Read 2 more answers

Solve the system by substitution.<br> y = -7x+ 3<br> y = -8x

QveST [7]

Answer:

x = -3, y = 24

Step-by-step explanation:

y=−7x+3;y=−8x

Step: Solve y=−7x+3 for y:

y=−7x+3

Step: Substitute−7x+3 for y in y=−8x:

y=−8x

−7x+3=−8x

−7x+3+8x=−8x+8x(Add 8x to both sides)

x+3=0

x+3+−3=0+−3(Add -3 to both sides)

x=−3

Step: Substitute−3 for x in y=−7x+3:

y=−7x+3

y=(−7)(−3)+3

y=24(Simplify both sides of the equation)

7 0

2 years ago

Read 2 more answers