An equilateral triangle with side length 9 cm is shown in the diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.

Answer:

The volume of rectangular prism = [tex]13\frac{1}{8}[/tex]

Step-by-step explanation:

Given - The length breadth height is given as [tex]1\frac{1}{2}[/tex] , [tex]3\frac{1}{2}[/tex] , [tex]2\frac{1}{2}[/tex] respectively

To find - What is the volume of prism.

Proof -

We know that ,

The volume of rectangular prism = Length × Breadth × Height

                                                       = [tex]\frac{3}{2}[/tex] × [tex]\frac{7}{2}[/tex] × [tex]\frac{5}{2}[/tex]

                                                       = [tex]\frac{105}{8}[/tex]

                                                       = [tex]13\frac{1}{8}[/tex]

⇒The volume of rectangular prism = [tex]13\frac{1}{8}[/tex]

Answer:

Step-by-step explanation:

2w+11=109

2w=98

w=49°

Answer:7^8/7^2, (7^2)^3

Step-by-step explanation:

Answer:

I think you're talking about mixed numbers

Step-by-step explanation:

Step-by-step explanation:

a=5*-4*-3

a=-2

hope this helps

Answer: 14

Step-by-step explanation: 3 to the second is 3 twice EX. 3x3=9, 9+5=14

Answer: x= −5 /2 + 1 /2 √37 or x= −5 /2 + −1 /2 √37

Step-by-step explanation:

Step 1: Subtract 3 from both sides.

x2+5x−3=3−3

x2+5x−3=0

For this equation: a=1, b=5, c=-3

1x2+5x+−3=0

Step 2: Use quadratic formula with a=1, b=5, c=-3.

x= −b±√b2−4ac /2a

x=

−(5)±√(5)2−4(1)(−3) /2(1)

x= −5±√37 /2

x= −5 /2 + 1 /2 √37 or x= −5 /2 + −1 /2 √37

Answer:

∠TAC = 70.53°

Step-by-step explanation:

ABCD is a square: AC = √AB²+BC² = √72

AM = 1/2 AC = √72 / 2 = 3 √2

tan ∠TAC = TM / AM = 12 / 3 √2 = 2.8284

∠TAC = 70.53°

Answer:

− 3 ( 2 + 5 )

Step-by-step explanation

Simplifica  

Distribuye

− 3 ( 2 + 5 ) − 6 2 − 1 5

Solución

− 6 2 − 1 5

Answer:

z-4

Step-by-step explanation:

z(5z²-80) ÷ 5z(z+4) = z-4

Step-by-step explanation:

Given: z(5z²-80) ÷ 5z(z+4)

Calculation:

First we factor numerator z(5z²-80)

Take out 5 from 5z²-80 and we get 5z(z²-16)

Now we factor 16 = 4²

5z(z²-4²)

Using formula, (a²- b²)=(a+b)(a-b)

5z(z²- 4²)⇒5z(z+4)(z-4)

Simplified fraction

5z(z+4)(z-4) ÷ 5z(z+4)

Cancel like factor from numerator and denominator

⇒ z-4

Thus, z(5z²-80) ÷ 5z(z+4) = z-4

By evaluating the function in x = 0, we will see that the y-intercept is (0, 3), so the correct option is C.

The y-intercept of a function g(x) is given by evaluating the function in x = 0.

So the y-intercept of g(x) is:

y = g(0).

In this case, we have:

g(x) = 2f(x) + 1

The y-intercept will be:

g(0) = 2*f(0) + 1

By looking at the graph, we can see that f(0) = 1, replacing that above we get:

g(0) = 2*1 + 1 = 3

Then the y-intercept is the point (0, 3), meaning that the correct option is C.

If you want to learn more about y-intercepts, you can read:

https://brainly.com/question/20896994

Answer: x =10

Step-by-step explanation:

I'm sorry if its not right

Answer:

oh i can't see the picture!!!

Step-by-step explanation:

Answer:

The correct answer is

b) DEF=QRS

Answer:

Step-by-step explanation:

A. (b - 10)(b + 10) = 180

[tex]b^{2}[/tex]-100 = 180

[tex]b^{2}[/tex]= 280

b = [tex]\sqrt{280}[/tex]

b = 2[tex]\sqrt{70}[/tex]

Your A is correct.

B. 2[tex]\sqrt{70}[/tex] - 10 = c

c = 6.733200531 = 6.73  Try rounding to 3 significant figures.

C. 2[tex]\sqrt{70}[/tex] + 10 = d

d = 26.73320053 = 26.7

You are correct in all 3 answers. Perhaps you should try rounding to 3 significant figures for your c and d values.

I hope this helps!! ^-^

Answer:

I'm pretty sure the answer is letter B or letter C

Step-by-step explanation:

C. the balloon starts at a height of 0 ft and rises at a rate of 100 ft. Brainly

Answer:

107cm

Step-by-step explanation:

The the answer is 107 because you have to add up all of the numbers.

Answer:

v = 9

Step-by-step explanation:

6v - 4 = 50

6v = 54

v = 9

Answer:

m<a = m<c since those two angles are vertical angles.

m<a + m<b = 90⁰ since, if you look closely m<a and m<b forms a 90⁰ angle that means it is equal to 90⁰.

Hope this helps and I would appreciate if you give me the brainlist or not thank you :) !!

Answer:

$28,576

Step-by-step explanation:

$76 (amount that each member pays) * 376 (total members) = $28,576 (amount that will be received in dues)

I hope this helps :)

Answer:

y = 5/6 x - 6.667

Step-by-step explanation:

Remark

Your first step is to get the slope of the line on the grid.

The second step is to use slope of the first line that you get and use the point to get the answer.

Slope

A: (1,3)

B: (7,8)

Slope = (y2 - y1)/(x2 - x1)

y2 = 8

y1 = 3

x2 = 7

x1 = 1

Slope = (8 - 3)/(7 - 1)

slope = 5/6

The line so far is y = 5/6 x + b

Use the slope and the given point to get the new line.

y = 5/6 x + b

x = 2

y = -5

-5 = 5/6 2 + b

-5 = 10/6 + b

- 5 - 10/6 = b

- 5 - 1.666 = b

- 6.666 = b

Answer

y = 5/6 x - 6.667

Answer:8,-2

Step-by-step explanation:

Delta math

Step-by-step explanation:

1/6 divided by 3=1/2.

I think this is the answer

Answer:

x = 2700 y=2900

Step-by-step explanation:

x+y = 5600

5/100 x + 9/100 y = 396

x+y=5600

5x+9y=39600

5x+5y = 28000

5x+9y=39600

-4y = -11600

y= 2900

x = 5600-2900 = 2700

Answer:

25.12 or 25.13

Step-by-step explanation:

It says not to round so i’m not sure which one is the correct answer

(sorry (-.-“))

Answer:

25.12

Step-by-step explanation:

8 * 3.14 = 25.12

if you make a graph and add the coordinates on the graph you can use that find out how it creates a ratio of 1:2