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faust18 [17]
2 years ago
10

In △WXY , WX=14.1 inches, WY=7.8 inches, and m∠W=52∘ .

Mathematics
1 answer:
Ghella [55]2 years ago
8 0

Answer:

  43.3 square inches

Step-by-step explanation:

Given two sides <em>a</em> and <em>b</em> and the angle α between them, the area of the triangle can be computed as ...

  A = (1/2)ab·sin(α)

Putting the given values into the formula gives ...

  A = (1/2)(14.1 in)(7.8 in)sin(52°) ≈ 43.3 in²

The area of the triangle is about 43.3 square inches.

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WHEN GIVEN A RAW SCORE, EXPLAIN HOW TO USE THE NORMAL CURVE TO COMPARE THAT SCORE TO THE POPULATION. WHAT IS A Z-SCORE?
valina [46]

<span>1. </span>When given a raw score, it must be converted into a z-score (standard score). Raw scores cannot be placed on a normal distribution curve because they do not have the same means and standard deviations, but when it is converted into a z-score, the number of standard deviations above or below the population mean can be measured. The z-scores on the center are average, the scores on the left are lower than average and the scores on the right are higher than average.

<span>2. </span>A z-score is a standard score which can be placed on a normal distribution curve. A z-score indicates the distance of the standard deviations from the mean (center of the curve).

5 0
1 year ago
hmu also What is the sum and classification of Two-fifths + StartRoot 88 EndRoot? 9.78083151..., irrational 9.78083151..., ratio
schepotkina [342]

Answer:

9.78083151 irrational

Step-by-step explanation:

Here, we want to sum 2/5 + √(88) and check if it is rational or irrational

2/5 = 0.4

√88 = 2 √22

So 0.4 + 2 √22

So what we want to do here is add a rational number to an irrational number. Kindly recall that surds are irrational numbers.

Mathematically, adding a rational number to an irrational one gives an irrational result

so we have;

9.780831519647 irrational

4 0
2 years ago
Read 2 more answers
What is the maximum number of pages the report can have so that it can be completely stored on a USB drive that holds 4 \cdot 10
lana [24]

Answer:

<em>2,300,000pages  report.</em>

Step-by-step explanation:

Given a USB drive with memory of 4.6*10⁶KB, in order to know the maximum number of pages a report can have so that it can be completely stored on the drive, the conversion factor must be used.

We must first understand that 1 page of a document uses up approximately 2kB of the storage.

Since 2kB = 1page

4.6*10⁶KB = x page

Cross multiply

2kB * x = 4.6*10⁶KB * 1

2x =  4.6*10⁶

x =  4.6*10⁶/2

x =  2.3*10⁶

x = 2,300,000

<em>Hence the maximum number of pages that the report can have so that it can be completely stored on a USB drive that holds 4.6*10⁶KB is approximately 2,300,000pages  report.</em>

4 0
1 year ago
bookstore ordered 1,528 packs of pens and 1,823 packs of pencils at the prices shown. how much did the bookstore spend on pens?
IgorC [24]
I found that the given prices are $ 4 per pack of pens and $ 3 per pack of penciles.

The question is how much the bookstore spent on pens.

Then you have to multiply the number packs of pens, which is 1,528, times the price per pack pens which is $ 4.

So, the answer is: 1528 packs of pens * $ 4 / pack of pens = $6112.


8 0
1 year ago
What is the perimeter of the trapezoid with vertices Q(8, 8), R(14, 16), S(20, 16), and T(22, 8)? Round to the nearest hundredth
uysha [10]

Answer:

The perimeter of the trapezoid is 38.25\ units

Step-by-step explanation:

we know that

The perimeter of the trapezoid is the sum of its four side lengths

so

In this problem

P=QR+RS+ST+QT

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

Q(8, 8), R(14, 16), S(20, 16),T(22, 8)

step 1

Find the distance QR

Q(8, 8), R(14, 16)

substitute the values in the formula

d=\sqrt{(16-8)^{2}+(14-8)^{2}}

d=\sqrt{(8)^{2}+(6)^{2}}

d=\sqrt{100}

QR=10\ units

step 2

Find the distance RS

R(14, 16), S(20, 16)

substitute the values in the formula

d=\sqrt{(16-16)^{2}+(20-14)^{2}}

d=\sqrt{(0)^{2}+(6)^{2}}

d=\sqrt{36}

RS=6\ units

step 3

Find the distance ST

S(20, 16),T(22, 8)

substitute the values in the formula

d=\sqrt{(8-16)^{2}+(22-20)^{2}}

d=\sqrt{(-8)^{2}+(2)^{2}}

d=\sqrt{68}

ST=8.25\ units

step 4

Find the distance QT

Q(8, 8),T(22, 8)

substitute the values in the formula

d=\sqrt{(8-8)^{2}+(22-8)^{2}}

d=\sqrt{(0)^{2}+(14)^{2}}

d=\sqrt{196}

QT=14\ units

step 5

Find the perimeter

P=10+6+8.25+14=38.25\ units

6 0
2 years ago
Read 2 more answers
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