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3 years ago

Here is how Lydia found the product 4/5 x 10. Use the model given to show that Lydia’s answer is correct.

Mathematics

1 answer:

Soloha48 [4]3 years ago

4 0

- $\frac{10}{1}$ Answer:

lydia's answer is correct.

Step-by-step explanation

4/5 X 10=8 because

$\frac{4}{5}$ X $\frac{10}{1}$ -->we do the denominator first so 5 x 1 = 5 so now it's

$\frac{4}{5}$ $\frac{10}{5}$ so 4 X 10= 2 x 5(we replace 10 with that ) over 5 and the you will be left with 4 x 2 over 5 that is because 5 and 5 canceled out so

now you're left with this 4 x 2 = 8 so 8 is you final answer without the fraction :) hope this helps

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3 years ago

sin alpha = 7/25, alpha lies in quadrant ii, and cos beta = 2/5, beta lies in quadrant i. find cos(alpha-beta).

Ilia_Sergeevich [38]

Answer:

Therefore $\cos(\alpha-\beta)=\frac{48+7\sqrt{25}}{125}$

Step-by-step explanation:

Given values are

$\sin \alpha=\frac{7}{25}$

$\cos \beta=\frac{2}{5}$

$\sin^2x+\cos^2=1$

$\cos \alpha=\sqrt{1-\sin^2\alpha}$

$\cos \alpha=\sqrt{1-(\frac{7}{25})^2}$

$\cos \alpha=\sqrt{1-\frac{49}{625}}$

$\cos \alpha=\sqrt{\frac{576}{625}}$

$\cos \alpha=\frac{24}{25}$

$\sin \beta=\sqrt{1-\cos^2\beta}$

$\sin \beta=\sqrt{1-(\frac{2}{5})^2}$

$\sin \beta=\sqrt{1-\frac{4}{25}}$

$\sin \beta=\frac{\sqrt{21}}{5}$

$\cos(\alpha-\beta)=\cos\alpha\cos\beta+\sin\alpha\sin\beta$

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7 0

3 years ago

Hello all!

jasenka [17]

Answer:

sat: 28:63

sun:32:72

Step-by-step explanation:

thats is.

6 0

3 years ago

Read 2 more answers

Round cake has a diameter of 30 cm . Angela places the cake on a circular cake board with a diameter 5 cm longer than that of th

Sav [38]

Answer:

circumference of the cake board = 109.9 cm

Step-by-step explanation:

diameter of cake = 30cm

diameter of cake board = 5cm longer than 30cm = 5 + 30 = 35cm

radius cake board = diameter ÷ 2 = 35 ÷ 2 = 17.5 cm

radius of cake board = 17.5 cm

circumference of a circle = 2 × π × r (where π = 3.14)

circumference of a circle = 2 × 3.14 × 17.5 = 109.9 cm

Therefore the circumference of the cake board = 109.9 cm

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3 years ago

Ralph Chase plans to sell a piece of property for $155000. He

Mrrafil [7]

Ralph chase invested $85000 at an interest of 10% and $70000 at an interest of 8%

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Let a represent the amount invested at interest of 10% and b represent the amount invested at 8%, hence:

a + b = 155000 (1)

Also:

0.1a + 0.08b = 14100 (2)

From both equations:

a = 85000, b = 70000

Ralph chase invested $85000 at an interest of 10% and $70000 at an interest of 8%

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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2 years ago