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dezoksy [38]
3 years ago
9

Find the height, round to the nearest hundredthArea is 72units squared ​

Mathematics
1 answer:
salantis [7]3 years ago
4 0

Answer:

\large\boxed{h=10\dfrac{2}{7}}

Step-by-step explanation:

The formula of an area of a triangle:

A=\dfrac{bh}{2}

We ahve b = 14 and A = 72. Substitute:

72=\dfrac{14h}{2}             <em>multiply both sides by 2</em>

144=14h          <em>divide both sides by 14</em>

h=\dfrac{144}{14}\\\\h=\dfrac{144:2}{14:2}\\\\h=\dfrac{72}{7}\\\\h=10\dfrac{2}{7}

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A cube with sides 5 inches, and a pyramid with base edges 5 inches. What is the height, so that the volume of the cube and the p
Ostrovityanka [42]

<u>1</u><u>5</u><u> </u><u>inches</u> is the height of the pyramid

Step-by-step explanation:

The volume of a cube is a³

Given <em>a</em> = 5 inches

→ Volume = a³

= 5³

= 5×5×5

= <u>125 in²</u>

The volume of a pyramid is \frac{1}{3} {a}^{2}h

Given a = 5 inches , h = height of pyramid

=  >  \frac{1}{3} {a}^{2} h

=  >  \frac{1}{3}(5)^{2}h

=  >  \frac{1}{3} \times 25 \times h

=  >  \frac{25}{3}h

then,

125 =  \frac{25h}{3}

=  > 25h = 125 \times 3

=  > 25h = 375

=  > h =  \frac{375}{25}

=  > h = 15

Hence, the height of pyramid is <u>1</u><u>5</u><u> </u><u>inches</u>

7 0
2 years ago
Antonia bought a set of dishes, a towel, and a candle at a housewares store. The set of dishes cost $35.02, the towel cost $21.4
vekshin1

Answer:

Antonia saved $5.39

Step-by-step explanation:

Candle:

$9.59 - $0.50 (coupon) = $9.09

Towel:

$21.43 - $2.75 (coupon) = $18.68

Dishes:

$21.43 x 10% = 2.143

$21.43 - $2.143 = $19.287, rounded to the nearest cent and it’s $19.29.

Calculate the amount of money saved by adding 0.50 + 2.75 + 2.143, which is 5.393. Round to the nearest cent and it will be $5.39.

4 0
2 years ago
Account A and Account B both have a principal of $2,000 and an annual interest rate of 2%. No additional deposits or withdrawals
GuDViN [60]

Answer:

Account B earns more interest.

After 20 years, account B will have earned $171.89 more.

Step-by-step explanation:

Let's calculate the total for each account.

Account A:

Account A earns simple interest. We know that the principal value is $2000 and the interest rate is 2% or 0.02. We can use the simple interest formula:

A=P(1+rt)

Where A is the future value, P is the principal, r is the rate, and t is the time in years.

So, let's substitute 2000 for P, 0.02 for r, and 20 for t. This yields:

A=2000(1+0.02(20))

Multiply and add:

A=2000(1+0.4)=2000(1.4)

Multiply. So, the total amount of money in Account A after 20 years is:

A=\$2800

Since we initially deposited $2000 and our total is now $2800, this means that we earned an interest of 2800-2000=\$ 800

Account B:

Account B earns compound interest. Like Account A, Account B has a principal value of $2000 and the interest rate is 2% or 0.02. We also know that it's compounded annually, so once per year. We can use the compound interest formula:

B=P(1+\frac{r}{n}})^{nt}

Where B is the future value, P is the principal, r is the rate, n is the times compounded per year, and t is the time in years.

So, let's substitute 2000 for P, 0.02 for r, n for 1 (since it's compounded annually), and t for 20. This yields:

B=2000(1+\frac{0.02}{1})^{(1)(20)}

Simplify this to acquire:

B=2000(1.02)^{20}

Evaluate. Use a calculator. So, after 20 years, the amount of money in Account B is:

B\approx\$2971.89

Since our principal was $2000, this means that we earned an interest of approximately  2971.89-2000=\$ 971.89.

So, Account A earned an interest of $800 and Account B earned an approximate interest of $971.89.

So, Account B earned more interest.

And it earned 971.89-800=\$ 171.89 more than Account A.

And we're done!

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Answer These Questions and show your work to be brainliest
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zavuch27 [327]
Check the picture below.

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\bf \begin{cases}&#10;h=2\\&#10;k=-3\\&#10;a=6\\&#10;c=2\sqrt{10}&#10;\end{cases}\implies \cfrac{[y- (-3)]^2}{ 6^2}-\cfrac{(x- 2)^2}{ b^2}=1&#10;\\\\\\&#10;\cfrac{(y+3)^2}{ 36}-\cfrac{(x- 2)^2}{ b^2}=1&#10;\\\\\\&#10;c^2=a^2+b^2\implies (2\sqrt{10})^2=6^2+b^2\implies 2^2(\sqrt{10})^2=36+b^2&#10;\\\\\\&#10;4(10)=36+b^2\implies 40=36+b^2\implies 4=b^2&#10;\\\\\\&#10;\sqrt{4}=b\implies 2=b\\\\&#10;-------------------------------\\\\&#10;\cfrac{(y+3)^2}{ 36}-\cfrac{(x- 2)^2}{ 2^2}=1\implies \cfrac{(y+3)^2}{ 36}-\cfrac{(x- 2)^2}{ 4}=1

3 0
3 years ago
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