Compare the ratios using the models.

Rectangle JKLM is shown.

ad-work [718]

Answer:

B

Step-by-step explanation:

We can use the Pythagorean theorem to solve this.

(13)^2 = (8)^2+x^2

169 = 64 + x^2

x^2 = 105

x is approximately 10.2, so B

6 0

3 years ago

Denzel wants to work out the density of a block of wood the block of wood is in the shape of the cuboid

marishachu [46]

Answer:

$Density = 1.094g/cm^3$

Step-by-step explanation:

Given

$Length = 17.7cm$

$Width = 8.3cm$

$Height = 13.0cm$

$Mass = 2090g$

See attachment

Required

Determine the density of the wood

First, we calculate the volume of the wood.

$Volume = Length * Width * Height$

Substitute values for Length, Width and Height

$Volume = 17.7cm * 8.3cm * 13.0cm$

$Volume = 1909.83cm^3$

The density is:

$Density = \frac{Mass}{Volume}$

$Density = \frac{2090g}{1909.83cm^3}$

$Density = 1.094g/cm^3$ --- approximated

5 0

3 years ago

$1500 is invested at a rate of 3% compounded monthly. Write a compound interest function to model this situation. Then find the

Marianna [84]

Answer:

Equation: $F=1500(1.0025)^{12t}$

The balance after 5 years is: $1742.43

Step-by-step explanation:

This is a compound growth problem . THe formula is:

$F=P(1+\frac{r}{n})^{nt}$

Where

F is future amount

P is present amount

r is rate of interest, annually

n is the number of compounding per year

t is the time in years

Given:

P = 1500

r = 0.03

n = 12 (compounded monthly means 12 times a year)

The compound interest formula modelled by the variables is:

$F=1500(1+\frac{0.03}{12})^{12t}\\F=1500(1.0025)^{12t}$

Now, we want balance after 5 years, so t = 5, substituting, we get:

$F=1500(1.0025)^{12t}\\F=1500(1.0025)^{12*5}\\F=1500(1.0025)^{60}\\F=1742.43$

The balance after 5 years is: $1742.43

3 0

3 years ago

HELP PLEASE someone its importent

elena-s [515]

Answer:

Step-by-step explanation:

Expression on the board :

$12.2x + 50.6 y + 3(1.4x - 2.6y)\\\\= 12.2x + 50.6y + 4.2x - 7.8y\\\\= 16.4x + 42.8y$

Expression by the student :

Expression 1 :

$4 ( 4.1x + 10.7 y ) \\\\= ( 4 \times 4.1x ) + ( 4 \times 10.7 y)\\\\= 16.4x + 42.8y\\\\$

The expression 1 is equivalent to the expression on the board. Because the coefficients of x and y are same on both.

Expression 2 :

$2 ( 6.1x + 25.3 y + 2.1x -3.9y)\\\\= 2 ( 8.2x + 21.4y)\\\\=( 2 \times 8.2x ) + (2 \times 21.4y)\\\\= 16.4x + 42.8y$

The expression 2 is also equivalent to the expression on the board. Because the coefficients of x and y are the same.

5 0

3 years ago

Find the value of x of exterior angle

Nikitich [7]

Answer:

all of these are congents

Step-by-step explanation:

Each coner

6 0

2 years ago