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3 years ago

Matt has $3 left in his pocket. He spent $6

Mathematics

1 answer:

Verizon [17]3 years ago

6 0

Answer:

$26.

Step-by-step explanation:

Let's say that Matt started out with x dollars.

x - 6 - 7 - 10 = 3

x - 13 - 10 = 3

x -23 = 3

x = 26

He had $26 at the beginning of the day.

Hope this helps!

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What is the volume of a rectangular prism with the dimensions: base 3 1 2 cm, height 1 1 2 cm, and length 5 1 2 cm?

jenyasd209 [6]

Answer:

The volume of a rectangular prism is $28\frac{7}{8}\ cm^{3}$

Step-by-step explanation:

we know that

The volume of the rectangular prism is equal to

$V=BHL$

Convert the given dimensions to an improper fractions

$B=3\frac{1}{2}\ cm=\frac{3*2+1}{2}=\frac{7}{2}\ cm$

$H=1\frac{1}{2}\ cm=\frac{1*2+1}{2}=\frac{3}{2}\ cm$

$L=5\frac{1}{2}\ cm=\frac{5*2+1}{2}=\frac{11}{2}\ cm$

substitute in the formula

$V=(\frac{7}{2})(\frac{3}{2})(\frac{11}{2})=\frac{231}{8}\ cm^{3}$

Convert to mixed number

$\frac{231}{8}=\frac{224}{8}+\frac{7}{8}=28\frac{7}{8}\ cm^{3}$

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3 years ago

What type of triangle is this?

olga nikolaevna [1]

This is a equilateral triangle because all the sides are equal.

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3 years ago

You are attending a college night. There is a different school in each classroom. Of the schools in attendance 30% had a sports

elixir [45]

Answer:

0.10

Step-by-step explanation:

Technically it's 0.12 but I only say this because they rounded by from 58 to 60 in their question

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3 years ago

Luisa recorded her dog’s weight, in kilograms, each week for 9 wk.

svp [43]

<span>In order to find the median weight we must arrange the given values in an ascending order and take the middle one. Doing so lets us see that the dog's median weight was 4.8 kg.</span>

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3 years ago

Convert the polar coordinates (-3, -60°) to Cartesian coordinates.

notsponge [240]

Answer:

(1.5,-2.6)

Step-by-step explanation:

Given the polar coordinates (-3,60°).

Let our Cartesian coordinates be (x,y)

#We know that when converting the rectangular coordinates (x,y) to polar (r,θ), then:

$r=\sqrt{x^2+y^2}\\\\\therefore r^2=x^2+y^2\\\\\theta=tan^{-1}(y/x)\\\therefore tan \theta=y/x$

#Using the illustration above, we can express our polar coordinates as:

$-3=\sqrt{x^2+y^2}\\\\-60\textdegree=tan^{-1}(y/x}$

#Solve simultaneously to solve for x and y:

$(-3)^2=x^2+y^2\ \ \ \ \ \ \ \ \ \ i\\\\tan(-0\texdegree)=y/x\ \ \ \ \ \ \ \ ...ii\\\\y=x\ tan(-60\textdegree)\ \ \ \ \ \ \ ...iii\\\\\#substitute\ y \ in\ i\\\\(-3)^2=x^2+(x \ tan (-60\textdegree))^2\\\\9=x^2+3x^2\\\\x=\sqrt{9/4}=1.5\\\\y=1.5\ tan(-60\textdegree)=-2.5981\approx-2.6$

Hence, the Cartesian coordinates are (1.5,-2.6)

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3 years ago