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allochka39001 [22]
2 years ago
6

Find the surface area of a hexagonal prism if the length of each side of the hexagonal base is 4 cm and the height is 7 cm.

Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
3 0

The surface area of a hexagonal prism willl be 251.13844 cm².

<h3>What is the surface area?</h3>

The total land area of all the faces of a three-dimensional object is its surface area. When we wish to wrap something in real life, we employ the notion of surface areas of distinct things.

A=6ah+3√3a²

A=6×4×7+3√3×4²

A≈251.13844

Hence the surface area of a hexagonal prism willl be 251.13844 cm².

To learn more about the surface area, refer to the link;

brainly.com/question/2835293

#SPJ1

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A child lies on the ground and looks up at the top of a 9-ft tree nearby. The child is 13 ft away from the tree. What is the ang
choli [55]
Draw a right triangle to represent the problem.
The vertical height of the triangle is 9 ft, and it represents the tree.
The horizontal length, at the bottom of the tree is ground level and has a length of 13 ft.

Let x =  angle of elevation.

By definition,
tan x = 9/13 = 0.6923
x = arctan(0.6923) = 34.7 deg. = 35 deg (approx)

Answer: 35°
8 0
3 years ago
What is the rate of interest on a loan of $2,000, for 284 days, if the amount of interest is $93.37, using the exact interest me
Viefleur [7K]

Answer: Option (c) is correct. Rate of interest = 6% p.a.

Step-by-step explanation:

Given that,

principal amount = $2000(loan)

time period =  284 days

interest amount (SI) = $93.37

we have to calculate the rate of interest (i),

Simple interest(SI) = principal amount × rate of interest (i) × time period

93.37 = 2000 × i × \frac{284}{365}

i = \frac{34080.05}{568000}

i = 0.06

i = 6%

3 0
3 years ago
Birth weights at a local hospital have a Normal distribution with a mean of 110 oz and a standard deviation of 15 oz. The propor
OLga [1]

Answer:

The proportion of infants with birth weights between 125 oz and 140 oz is 0.1359 = 13.59%.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 110, \sigma = 0.15

The proportion of infants with birth weights between 125 oz and 140 oz is

This is the pvalue of Z when X = 140 subtracted by the pvalue of Z when X = 125. So

X = 140

Z = \frac{X - \mu}{\sigma}

Z = \frac{140 - 110}{15}

Z = 2

Z = 2 has a pvalue of 0.9772

X = 125

Z = \frac{X - \mu}{\sigma}

Z = \frac{125 - 110}{15}

Z = 1

Z = 1 has a pvalue of 0.8413

0.9772 - 0.8413 = 0.1359

The proportion of infants with birth weights between 125 oz and 140 oz is 0.1359 = 13.59%.

4 0
3 years ago
Jennifer was baking cupcakes for her class. She needed to bake 35 cupcakes in all. Each cupcake needed .13 cups of sugar. How ma
Paraphin [41]
Answer and working out attached below. Hope it helps

3 0
2 years ago
Jenny bought a 5 notebooks and 2 pencils, and the total was 9 dollars.
weeeeeb [17]
You would solve this with simultaneous equations, so if we write it as:
5n + 2p = 9
3n + 2p = 6
(subtract)
2n = 3
÷ 2
notebooks = 1.5

Now you would substitute it in:
(3 × 1.5) + 2p = 6
4.5 + 2p = 6
- 4.5
2p = 1.5
÷ 2
pens = 0.75

So your final answer is notebooks are $1.50 and pens are $0.75, I hope this helps!
6 0
3 years ago
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