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2 years ago

Solve similar triangles (advanced)

Mathematics

1 answer:

Eddi Din [679]2 years ago

3 0

Triangles ABC and ADE are similar, meaning that
AB/BC=AD/DE
6/5=(6+x)/14
84/5=6+x
X=10.8
So x=10.8

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Showing work what does 9-6÷3 equal

sashaice [31]

9-(6/3)=9-2=7
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3 0

3 years ago

What is the surface area in centimeters of a cube with a side lengths of 1/8 centimeters

ipn [44]

Answer:

1/8 cm = 0.125 cm = 1.25 mm

6 * (1.25 mm)^2 = 9.375 mm^2

4 0

3 years ago

Read 2 more answers

On the 1st January 2014 Carol invested some money in a bank account.

Ghella [55]

Answer:

$\large \boxed{\text{\pounds 23 360.00}}$

Step-by-step explanation:

The formula for the accrued amount from compound interest is

$A = P \left(1 + \dfrac{r}{n}\right)^{nt}$

1. Amount in account on 1 Jan 2015

(a) Data:

a = £23 517.60

r = 2.5 %

n = 1

t = 1 yr

(b) Calculations:

r = 0.025

$\begin{array}{rcl}23517.60 & = & P\left (1 + \dfrac{r}{n}\right)^{nt}\\\\& = & P\left (1 + \dfrac{0.025}{1}\right)^{1\times1}\\\\& = & P (1 + 0.025)\\ & = & 1.025 P\\P & = & \dfrac{23517.60 }{1.025} \\\\& = & 22 944.00 \\\end{array}$

The amount that gathered interest was £22 944.00 but, before the interest started accruing, Carol had withdrawn £1000 from the account.

She must have had £23 944 in her account on 1 Jan 2015.

(2) Amount originally invested

(a) Data

A = £23 944.00

$\begin{array}{rcl}23 944.00 & = & 1.025 P\\P & = & \dfrac{23 944.00 }{1.025} \\\\& = & \mathbf{23 360.00} \\\end{array}\\\text{Carol originally invested $\large \boxed{\textbf{\pounds23 360.00}}$ in her account.}$

3. Summary

1 Jan 2014 P = £23 360.00

1 Jan 2015 A = 23 944.00

Withdrawal = <u> -1 000.00 </u>

P = 22 944.00

1 Jan 2016 A = £23 517.60

5 0

3 years ago

Decide if each number on the list is a perfect cube

katrin2010 [14]

Answer:

Only D,F, and G are perfect cubes.

Step-by-step explanation:

A) Technically not a perfect cube.

B) Not a perfect cube

C) Not a perfect cube

D) Yes. 3*3=9

E) Not a perfect cube

F) Yes. 8*8=64

G) Yes. 10*10=100

H) Not a perfect cube

7 0

3 years ago

The table shows transactions from five different bank accounts. Fill in the missing numbers.(IMAGE ATTACHED)

DerKrebs [107]

Answer:

-175

Step-by-step explanation:

512-432=80

52+12=64

75+-100=-175

7 0

3 years ago