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baherus [9]
4 years ago
12

The length of a rectangle is four times its width. If the perimeter of the rectangle is 90 cm, find its area

Mathematics
1 answer:
Sunny_sXe [5.5K]4 years ago
7 0

Answer:

324

Step-by-step explanation:

L = 4W

P = 2L + 2W = 90

---

2L + 2W = 90

2(4W) + 2W = 90

8W + 2W = 90

10W = 90

---

W = 9

L = 36

---

 

A = 324

---

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(d) Let p represent the probability of a successful long hit. What values of p will make the long hit better than the short hit
seropon [69]

Answer:

The probability of successful  long hit is greater than 0.7083

Step-by-step explanation:

Solution

The expected value for long hit is given below

P (successful hit) * 4.2 + P (Unsuccessful hit) *5.4

so,

= P * 4.2 + (1-p) * 5.4

= 5.4 - 1.2p

Now,

If the expected value of long hit is less than  that of the short it

Then,

5.4 - 1.2p <4.55

P> (5.4 - 4.55)/1.2

P> 0.7083

Therefore the probability of successful  long hit is greater than 0.7083

Note:

Due to my research and findings to this example, the complete question for  is attached below, i solved or Question 2(d) only

8 0
3 years ago
What are the cost of 1 t-shirt and 1 sweatshirt? (separate)
emmainna [20.7K]

X is t shirt is $8

Y is sweatshirt $11

2x+2y=38

3x+1y=35

We will be using the elimination process so you want even them out same value

2x+2y=38

-6x-2y=-70 ( want get rid of the y-value by increasing to other by when both add or subtract it will equal 0)

-4x=-32

Divide both -4

X=8 So 8 dollars a t-shirt so now will fill x with 8

2(8)+2y=38

16+2y=38

-16

2y=22

Divid by 2

Y = 11 so a sweatshirt is 11 dollars

You can check by fill each by the variable

7 0
3 years ago
Combine like terms to create an equivalent expression.
zvonat [6]

Answer:

ytg4f3udy2iujsjwrhubygjrkgthjeyiulk4g;5tpyoih5jeklg5g45h5y4mjtgrety87gi3h4h5gt4f526h37uj65y

Step-by-step explanation:

5 0
4 years ago
In ΔEFG, the measure of ∠G=90°, EF = 38 feet, and FG = 30 feet. Find the measure of ∠F to the nearest degree.
Mamont248 [21]

Answer:

∠F = 42° to the nearest degree

Step-by-step explanation:

In this question, we are asked to calculate the value of the angle.

Kindly note that since one of the angles we are dealing with in the triangle is 90°, this means that the triangle is a right-angled triangle

Please check attachment for the diagrammatic representation of the triangle

From the diagram, we can identify that the EF is the hypotenuse and the length FG is the adjacent. Thus , the appropriate trigonometric identity to use is the cosine

mathematically;

Cosine of an angle = length of adjacent/length of hypotenuse

Cos F = \frac{30}{38}\\Cos F =  0.7895\\F = Cos^{-1} 0.7895\\

F = 42.07

∠F = 42° to the nearest degree

4 0
3 years ago
Read 2 more answers
A submarine is 600 feet below sea level. It is rising to the surface at a rate of 15 feet per hour. Which expression represents
matrenka [14]
15 × h
h= per hour

and to solve how many hours it would take:

600= 15 × h

600÷ 15 = 40

so it would take 40 hours to rise to the surface
7 0
3 years ago
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