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4 years ago

Cody was

Mathematics

1 answer:

frutty [35]4 years ago

5 0

On the first day of school last year, Cody was 148.5 cm tall.

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A package of books weigh 72 ounces. What is the weight of the package in pounds

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I got you the answer is
4.5 pounds

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3 years ago

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A winery is supplied with crushed grapes once a week. If its weekly volume of sales in thousands of gallons is a random variable

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4 years ago

Solve for X then find the measure of DEF. Write your answers in decimal form.

Fittoniya [83]

Answer:

Since EF bisects ∠DEF, we know that EF splits ∠DEF in 2 halves from the word 'bisects', which can be written as 'bi- sects' , where bi means 2 and sects means sections

Hence, ∠DEG = ∠GEF --------------(1)

We are given the measure of these angles:

∠DEG = 3x - 4

∠GEF = x + 13

Now, replacing the values in (1):

3x - 4 = x + 13

2x = 17

x = 17/2

Now, finding the measure of ∠DEF:

∠DEF = ∠DEG + ∠GEF

∠DEF = 3x - 4 + x + 13

∠DEF = (51 / 2) - 4 + (17/2) + 13 (x = 17/2)

∠DEF = 34 - 4 + 13

∠DEF = 43°

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4 years ago

Please help me. I've been trying to solve it for about 30 minutes, just this one question. The function f(x)=2^x and g(x)=f(x+k)

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G(x) would be exponential. Additionally, the exponential is shifted down 5.

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4 years ago

The lateral surface area of a cube is 324 cm ² . Find its volume and total surface area

AfilCa [17]

Step-by-step explanation:

<h2><u>Given :</u></h2><h2 />

Lateral Surface Area of Cube = 324 cm²

$\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}}\end{gathered}$

Volume of the Cube = ?

Total Surface Area of the Cube = ?

$\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}}\end{gathered}$

<h2><u>Solution :</u></h2>

<u>~ Formula U</u><u>s</u><u>e</u><u>d</u><u> :</u>

Lateral Surface Area :

${\red{\dashrightarrow}} \: \: {\underline{\boxed{\purple{\sf{ Lateral \: Surface \: Area {\small_{(Cube)}} = 4 a² }}}}}$

Volume :

$\large{\red{\dashrightarrow}} \: \: {\underline{\boxed{\purple{\sf{ Volume{\small_{(Cube)}} = a³ }}}}}$

Total Surface Area :

$\large{\red{\dashrightarrow}} \: \: {\underline{\boxed{ \red{\sf{ Total \: Surface \: Area {\small_{(Cube)}} = 6a² }}}}}$

$\begin{gathered} \\ {\qquad{\rule{150pt}{1pt}}}\end{gathered}$

<u>~ Calculating the Side :</u>

$\\{\longmapsto{\qquad{\sf{ \cancel\dfrac{324}{4} = a² }}}}$

${\longmapsto{\qquad{\sf{ LSA = 4a² }}}} \\ \\$

${\longmapsto{\qquad{\sf{ 324 }}}}$

$\longmapsto{\qquad{\sf{ 81 = a²}}}$

${\longmapsto{\qquad{\sf{ \sqrt{81} = a }}}} \\ \\$

${\qquad{\textsf{ Side of the Cube = {\pink{\sf{ 9 \: cm}}}}}}$

$\begin{gathered} \\ {\qquad{\rule{150pt}{1pt}}}\end{gathered}$

<u>~ Calculating the</u><u> </u><u> Volume :</u>

$\begin{gathered}{ \red{\longmapsto{\qquad{\sf{ Volume = a³ }}}}} \\ \\ \ { \pink{\longmapsto{\qquad{\sf{ Volume = 9³ }}}} }\\ \\ \ { \green{\longmapsto{\qquad{\sf{ Volume = 9 \times 9 \times 9 }}}}} \\ \\ \ { \purple{\qquad{\textsf{ Volume of the Cube = {\green{\sf{ \boxed{\longmapsto \sf729 \: cm³ }}}}}}}}\end{gathered}$

<u>~ Calculating the</u><u> Total Surface Area :</u>

${\longmapsto{\qquad{\sf{ TSA = 6a² }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ TSA = 6 \times 9² }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ TSA = 6 \times 9 \times 9 }}}}$

${\longmapsto{\qquad{\sf{ TSA = 6 \times 81 }}}} \\ \\ \ {\qquad{\textsf{ Total Surface Area of the Cube = {\red{\sf{ 486 \: cm² }}}}}}$

<h2><u>Therefore :</u></h2>

❝ Volume of the Cube is 729 cm³ and it's Total Surface Area is 486 cm² .❞

$\begin{gathered} \\ {\pink{\underline{\rule{75pt}{9pt}}}}{\blue{\underline{\rule{75pt}{9pt}}}}{\color{cyan}{\underline{\rule{75pt}{9pt}}}}\end{gathered}$

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3 years ago

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