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lara [203]
3 years ago
10

Monica has a 24

Mathematics
2 answers:
melamori03 [73]3 years ago
7 0

Answer:

The fraction of frame did Monica paint blue is \frac{3\sqrt{6}}{2}  

Step-by-step explanation:

Given as :

The area of square frame = A = 24 square inches

Monica paint \frac{3}{4} of one side of the frame blue

Let the measure of one side of frame = x

So, <u>From Area of square</u>

Area = side × side

Or, A = x × x

Or, x ² = 24

∴  x = \sqrt{24} = 2\sqrt{6}

So, Measure of each side = x = 2\sqrt{6}

Now, As Monica paint \frac{3}{4} of one side of the frame blue

So, The painted part = \frac{3}{4} ×  2\sqrt{6}

∴ The painted part = \frac{3}{2} × \sqrt{6}

I,e The fraction of painted blue = \frac{3\sqrt{6}}{2}

Hence, The fraction of frame did Monica paint blue is \frac{3\sqrt{6}}{2}  Answer

andriy [413]3 years ago
7 0

Answer:

3/16

Step-by-step explanation: You see that Monica painted 3/4 of one side painted. There are four sides. You multiply 4 by 4 =16. You dont do anything to the three. You get 3/16.

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Elevation is a measure of height in relation to sea level. The highest feature on Earth is Mount Everest with an elevation +29,0
Sphinxa [80]

Answer:

Sea\ Level = 0\ ft

The farthest point is the Challenger Deep

Step-by-step explanation:

Given

Highest = +29029ft

Least = -35,797ft

Solving (a): The sea level

Both elevations had signs in front of them.

The sea level is the point at the neutral level, neither positive nor negative.

Hence:

Sea\ Level = 0\ ft

Solving (b): Farthest Point.

The farthest point is the one with the highest magnitude.

Comparing

Highest = +29029ft  to   Least = -35,797ft

-35,797 ft has the highest magnitude.

Hence:

<em>The farthest point is the Challenger Deep</em>

5 0
3 years ago
The sales tax in Texas is 8.25% and an item costs $600. How much is the tax?
butalik [34]

Answer:

49.5

Step-by-step explanation:

8 0
3 years ago
Given: △ABC, E∈ AB m∠ABC=m∠ACE AB=34, AC=20 Find: AE
LenaWriter [7]

Answer:

AE = 11.76 units

Step-by-step explanation:

For better understanding of the solution, see the attached figure :

Given : E ∈ AB, m∠ABC = m∠ACE, AB = 34 and AC = 20

To find AE :

In ΔABC and ΔACE,

m∠ABC = m∠ACE ( Given )

∠A = ∠A    ( Common angle for both the triangles )

By AA postulate of similarity of triangles, ΔABC ~ ΔACE

So, proportion of the corresponding will be equal.

\implies \frac{AC}{AB}=\frac{CE}{BC}=\frac{AE}{AC}\\\\\implies\frac{AC}{AB}=\frac{AE}{AC}\\\\\implies\frac{20}{34}=\frac{AE}{20}\\\\\implies AE=\frac{20\times 20}{34}\approx 11.76

Hence, AE = 11.76 units

4 0
3 years ago
A news station would like to conduct an exit poll to determine the likelihood that a highly debated amendment will receive enoug
vladimir1956 [14]

Answer:

The expression is n = (\frac{1.645*0.5}{0.03})^2

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

What expression would give the smallest sample size that will result in a margin of error of no more than 3 percentage points?

We have to find n for which M = 0.03.

We have no prior estimate for the proportion, so we use \pi = 0.5. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.645\sqrt{\frac{0.5*0.5}{n}}

0.03\sqrt{n} = 1.645*0.5

\sqrt{n} = \frac{1.645*0.5}{0.03}

(\sqrt{n})^2 = (\frac{1.645*0.5}{0.03})^2

n = (\frac{1.645*0.5}{0.03})^2

The expression is n = (\frac{1.645*0.5}{0.03})^2

3 0
3 years ago
Jamie went to Home Depot.She bought 25 bags of soil that cost $9 per bag.She bought 15 pots at $8 each, and she bought 23 bags o
Anna71 [15]

Answer:

Im pretty sure it is $660

Step-by-step explanation:

(25x9)+(15x8)+(23x15)=

225+120+345= 690

690-(6x5)

690-30

[660]


3 0
4 years ago
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