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3 years ago

Alex and 3 other friends each ate 3/8 of pizza. How much pizza did Alex and his friends eat in all?

Mathematics

1 answer:

Lady_Fox [76]3 years ago

3 0

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To solve y and x, I am adding a picture

Viktor [21]

Answer:

$x =\sqrt 5$

$y = \sqrt{5$

Step-by-step explanation:

Given

The attached triangle

Required

Solve for x

Considering angle 45 degrees, we have:

$\cos(45) = \frac{y}{\sqrt{10}}$ --- cosine formula i.e. adj/hyp

Solve for y

$y = \sqrt{10} * \cos(45)$

In radical form, we have:

$y = \sqrt{10} * \frac{1}{\sqrt 2}$

$y = \sqrt{10/2}$

$y = \sqrt{5$

To solve for x, we make use of Pythagoras theorem

$x^2 + y^2 = (\sqrt{10})^2$

$x^2 + y^2 =10$

Substitute for y

$x^2 + (\sqrt 5)^2 =10$

$x^2 + 5 =10$

Collect like terms

$x^2 =10-5$

$x^2= 5$

Solve for x

$x =\sqrt 5$

4 0

3 years ago

alvin and simon raced a distance of 2.9 x 10^2 kilometers. they need to race 7 times that distance in kilometer. how far must th

dimaraw [331]

The distance in kilometers in scientific notation $2.03 \times 10^3 km$

<h3>Scale factors</h3>

Scale factors are values or constants multiplied with a variable

If Alvin and Simon raced a distance of $2.9 \times 10^2$ kilometers and they need to race 7 times that distance in a kilometer, the distance traveled will be:

Distance travelled = $7(2.9 \times 10^2)$
Distance travelled = $2.03 \times 10^3 km$

Hence the distance in kilometers in scientific notation $2.03 \times 10^3 km$

Learn more on distance here: brainly.com/question/23848540

8 0

3 years ago

Hey,can you help me please i very need help..

Brut [27]

Answer:

4.71cm

Step-by-step explanation:

5 0

3 years ago

There are 3 quarters, 5 dimes, and 2 nickels, in a jar. P(dime then dime without replacement)?

Roman55 [17]

Can yu give more explanation

3 0

3 years ago

Which expression represents this word phrase? eight less than the quotient of x and 3 x−83 8−x3 x3−8 3x−8

lozanna [386]

Quotient is basically the answer produced when dividing two numbers.

For example, the quotient of 6 and 3 is 2 because when I divide 6 by 3, I get 2.

Eight less than the quotient of x and 3 = $\frac{x}{3} - 8$

3 0

3 years ago

Read 2 more answers