I really need help ASAP!

SOMEONE PLS PLS TELL ME THR RIGHT ANSWER AND HOW TODO IT PLLLLLSS Mary has a toy which is in the shape of a right prism with tri

Firlakuza [10]

Answer: surface area = 142.2 feet²

Step-by-step explanation:

The right prism has 2 triangular faces whose base is 4 feet and the height is 3.5 feet. The formula for determining the area of each is expressed as

Area = 1/2 × base × height

Area of both faces = 2 × 1/2 × 4 × 3.5 = 14 ft²

Considering the rectangular sides, Area of the base is 4 × 10 = 40 ft²

Area of the end is 3.5 × 10 = 35 ft²

To determine the width of the rectangular top, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Width = hypotenuse

Opposite side = 3.5

Adjacent side = 4

Width² = 3.5² + 4² = 28.25

Width = √28.25 = 5.32 feet

Area of rectangular top = 5.32 × 10 = 53.2 feet

Therefore, the approximate surface area of this right prism is

14 + 40 + 35 + 53.2 = 142.2 feet²

4 0

3 years ago

-1/2(3x-4)+3x=5/6<br> Please help

Ksenya-84 [330]

Answer:

x = -7/9

Step-by-step explanation:

The usual recommendation is to clear fractions first. Here, you can do that by multiplying both sides of the equation by 6.

6(-1/2(3x -4) +3x) = 6(5/6)

-9x +12 +18x = 5 . . . . . . . . . simplify

9x = -7 . . . . . . . . . . . . . . . . . subtract 12

x = -7/9 . . . . . .divide by 9

__

Another way to do this is to eliminate parentheses first.

-3/2x +2 +3x = 5/6

3/2x = -7/6 . . . . . . . . . collect terms, subtract 2

x = (-7/6)(2/3) = -7/9 . . . . multiply by 2/3

3 0

3 years ago

8. The high school graduating class of 2000 was 260 students. Five years later, the graduating class was 320 students. By 2010,

olga nikolaevna [1]

Answer:

the question is confusing but the answer is 2010

Step-by-step explanation:

because in the year 2000 it was

260

then increased by

60

over 5 years making the next class

320

then in 2010 it was

400

and 320 + what is 400?

80

so the answer is:

2010

4 0

3 years ago

Help me please why is school hard i-

Lelechka [254]

Answer:

12 1/4

Step-by-step explanation:

You would first add the fractions which will get you 5/4. then you will add the whole numbers which will get you 11. Then there is a extra number in 5/4 so you can tranfer it to the whole number which will become... 12 and then you will be left with 12 1/4

8 0

3 years ago

Read 2 more answers

CNNBC recently reported that the mean annual cost of auto insurance is 965 dollars. Assume the standard deviation is 113 dollars

velikii [3]

Answer:

P(939.6 < X < 972.5) = 0.6469

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .