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3 years ago

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Ren built a birdhouse with a volume of 224 in.3 Find the height of the birdhouse. A square pyramid. The square base has side len

gths of 8 inches and the height is unknown. Complete the statements. The area of the base of the birdhouse is in.2 The volume of the birdhouse is 224 in.3 Substitute the values for V and B into the formula, and then solve for h. The height of the birdhouse is in.

2 answers:

Law Incorporation [45]3 years ago

8 0

Answer: 64 and 10 1/2

Step-by-step explanation:

anyanavicka [17]3 years ago

3 0

Answer: 10 1/2

Plug it into the equation V=1/3 Bh and it right

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The price of a television before tax is $1625.00. The total price with tax is $1,803.75. What is the rate of the sales tax?

Oksanka [162]

Answer:

11%

Step-by-step explanation:

A sales tax is placed on goods and services once the buyer and seller agree on what the exchange of currency is.

In this case you take the tax on the 1625 and not the 1803.75.

The buyer agreed to buy the item for 1625 and the seller agreed to sell it for that amount. So the tax goes on 1625.

Tax amount = total price - selling price

Tax amount = 1803.75 - 1625

Tax amount = 178.75

That's not what you want. You want the % of the tax.

% Tax = (Tax Amount / Selling Price) * 100

% Tax = (178.75 / 1625) * 100

% Tax = 0.11 * 100

% Tax = 11% Answer

8 0

3 years ago

An algebraic expression use to represent the number. One third subtracted from 3

Andrews [41]

Answer:

m/3

Step-by-step explanation:

13 m or m 3

Explanation:One third = 13 (the number)'Of' = multiplication (symbol : ×)

a number m = m (variable)

One third of a number m= (one third)(a number m)= (13)(a variable) = (13)

(m)= 13 m or m 3 since 13 m = m/3

4 0

3 years ago

Area of a triangle with points at (-9,5), (6,10), and (2,-10)

Ann [662]

First we are going to draw the triangle using the given coordinates.
Next, we are going to use the distance formula to find the sides of our triangle.
Distance formula: $d= \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Distance from point A to point B:
$d_{AB}= \sqrt{[6-(-9)]^2+(10-5)^2}$
$d_{AB}= \sqrt{(6+9)^2+(10-5)^2}$
$d_{AB}= \sqrt{(15)^2+(5)^2}$
$d_{AB}= \sqrt{225+25}$
$d_{AB}= \sqrt{250}$
$d_{AB}=15.81$

Distance from point A to point C:
$d_{AC}= \sqrt{[2-(-9)]^2+(-10-5)^2}$
$d_{AC}= \sqrt{(2+9)^2+(-10-5)^2}$
$d_{AC}= \sqrt{11^2+(-15)^2}$
$d_{AC}= \sqrt{121+225}$
$d_{AC}= \sqrt{346}$
$d_{AC}= 18.60$

Distance from point B from point C
$d_{BC}= \sqrt{(2-6)^2+(-10-10)^2}$
$d_{BC}= \sqrt{(-4)^2+(-20)^2}$
$d_{BC}= \sqrt{16+400}$
$d_{BC}= \sqrt{416}$
$d_{BC}=20.40$

Now, we are going to find the semi-perimeter of our triangle using the semi-perimeter formula:
$s= \frac{AB+AC+BC}{2}$
$s= \frac{15.81+18.60+20.40}{2}$
$s= \frac{54.81}{2}$
$s=27.41$

Finally, to find the area of our triangle, we are going to use Heron's formula:
$A= \sqrt{s(s-AB)(s-AC)(s-BC)}$
$A=\sqrt{27.41(27.41-15.81)(27.41-18.60)(27.41-20.40)}$
$A= \sqrt{27.41(11.6)(8.81)(7.01)}$
$A=140.13$

We can conclude that the perimeter of our triangle is 140.13 square units.

3 0

3 years ago

Hey peeps I'm doing online school this year and right now I'm just not motivated. Any advice on how to get motivated?

mafiozo [28]

Answer:

something that motivates me is music

Step-by-step explanation:

since I can't work with music that makes me sing i listen to lofi music. try listening to chilled cow lofi study music

3 0

3 years ago

Read 2 more answers

From a random sample of 58 businesses, it is found that the mean time the owner spends on administrative issues each week is 21.

zzz [600]

Answer: (20.86, 22.52)

Step-by-step explanation:

Formula to find the confidence interval for population mean :-

$\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}$

, where $\overline{x}$ = sample mean.

z*= critical z-value

n= sample size.

$\sigma$ = Population standard deviation.

By considering the given question , we have

$\overline{x}= 21.69$

$\sigma=3.23$

n= 58

Using z-table, the critical z-value for 95% confidence = z* = 1.96

Then, 95% confidence interval for the amount of time spent on administrative issues will be :

$21.69\pm (1.96)\dfrac{3.23}{\sqrt{58}}$

$=21.69\pm (1.96)\dfrac{1.7}{7.61577}$

$=21.69\pm (1.96)(0.223221)$

$\approx21.69\pm0.83$

$=(21.69-0.83,\ 21.69+0.83)=(20.86,\ 22.52)$

Hence, the 95% confidence interval for the amount of time spent on administrative issues = (20.86, 22.52)

7 0

3 years ago