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3 years ago

What’s the correct explanation for this question?

Mathematics

1 answer:

Nady [450]3 years ago

7 0

Step-by-step explanation:

=> The volume of a triangular pyramid can be found using the formula V = 1/3AH where A = area of the triangle base, and H = height of the pyramid

=> The volume of a cone can be found by V = 1/3(Ab)(H) where Ab is base area and H is the height of the cone

The difference between both is that is it's base. A cone has a polygonal base while a pyramid has a tetragonal base

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April worked 1 1/2 times as long on her math project as did Carl. Debbie worked 1 1/4 times as long as Sonia. Richard worked 1 3

vlada-n [284]

Answer:

Student Hours worked

April. $7\frac{7}{8} \ hrs$

Debbie. $8\frac{1}{8}\ hrs$

Richard. $7\frac{19}{24}\ hrs$

Step-by-step explanation:

Some data's were missing so we have attached the complete information in the attachment.

Given:

Number of Hours Carl worked on Math project = $5\frac{1}{4}\ hrs$

$5\frac{1}{4}\ hrs$ can be Rewritten as $\frac{21}{4}\ hrs$

Number of Hours Carl worked on Math project = $\frac{21}{4}\ hrs$

Number of Hours Sonia worked on Math project = $6\frac{1}{2}\ hrs$

$6\frac{1}{2}\ hrs$ can be rewritten as $\frac{13}{2}\ hrs$

Number of Hours Sonia worked on Math project = $\frac{13}{2}\ hrs$

Number of Hours Tony worked on Math project = $5\frac{2}{3}\ hrs$

$5\frac{2}{3}\ hrs$ can be rewritten as $\frac{17}{3}\ hrs.$

Number of Hours Tony worked on Math project = $\frac{17}{3}\ hrs.$

Now Given:

April worked $1\frac{1}{2}$ times as long on her math project as did Carl.

$1\frac{1}{2}$ can be Rewritten as $\frac{3}{2}$

Number of Hours April worked on math project = $\frac{3}{2}$ $\times$ Number of Hours Carl worked on Math project

Number of Hours April worked on math project = $\frac{3}{2}\times \frac{21}{4} = \frac{63}{8}\ hrs \ \ Or \ \ 7\frac{7}{8} \ hrs$

Also Given:

Debbie worked $1\frac{1}{4}$ times as long as Sonia.

$1\frac{1}{4}$ can be Rewritten as $\frac{5}{4}$ .

Number of Hours Debbie worked on math project = $\frac{5}{4}$ $\times$ Number of Hours Sonia worked on Math project

Number of Hours Debbie worked on math project = $\frac{5}{4}\times \frac{13}{2}= \frac{65}{8}\ hrs \ \ Or \ \ 8\frac{1}{8}\ hrs$

Also Given:

Richard worked $1\frac{3}{8}$ times as long as tony.

$1\frac{3}{8}$ can be Rewritten as $\frac{11}{8}$

Number of Hours Richard worked on math project = $\frac{11}{8}$ $\times$ Number of Hours Tony worked on Math project

Number of Hours Debbie worked on math project = $\frac{11}{8}\times \frac{17}{3}= \frac{187}{24}\ hrs \ \ Or \ \ 7\frac{19}{24}\ hrs$

Hence We will match each student with number of hours she worked.

Student Hours worked

April. $7\frac{7}{8} \ hrs$

Debbie. $8\frac{1}{8}\ hrs$

Richard. $7\frac{19}{24}\ hrs$

5 0

3 years ago

Read 2 more answers

Barbie is thinking of a number 20 less than one-third of the number is 72 find barbie's number

ExtremeBDS [4]

Let x = Barbie's number
1/3 x -20 = 72
1/3 x = 92
x = 92*3=276

4 0

3 years ago

Which of the following equations, where ddd is distance in miles and ttt is time in hours, represents a speed that is less than

Alexandra [31]

Answer:

Step-by-step explanation:

this helps

7 0

3 years ago

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Find the volume of the rectangular

Kobotan [32]

Answer:

Hope this will help you

Step-by-step explanation:

$volume \: of \: rectangular \: prism = l \times b \times h \\ = 0.6 ft\times 0.8 ft\times 3.8ft \\ = 1.824 {ft}^{3}$

4 0

2 years ago

Please help me asappp (will give brainiest!)

ryzh [129]

Answer:

TanФ=-1.793

Step-by-step explanation:

$Sin^{2} (A) + Cos^{2} (A) = 1$

$Sin(A)=\sqrt{1-Cos^{2} (A)}$

$Tan(A) = \frac{Sin(A)}{Cos(A)}$

$Tan(A) =\frac{\sqrt{1-Cos^{2}(A) } }{Cos(A)} \\Tan(A) =\frac{\sqrt{1-(-.487)^{2} } }{-.487}=-1.793433202$

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3 years ago