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Rina8888 [55]
3 years ago
12

The length of a rectangle is 2 units more than the width. The area of the rectangle is 35 units. What is the width, in units, of

the rectangle ?
Mathematics
2 answers:
Katena32 [7]3 years ago
6 0
7 units hahahahaha hahahahha hahahahaha
BARSIC [14]3 years ago
4 0

Step-by-step explanation:

let width be x

length =2+x

area of rectangle =length× width

x(x+2)=35

x²+2x-35=0

x²+7x-5x-35=0

x(x+7)-5(x+7)=0

(x+7)(x-5)=0

x= -7,5

since length cant be negative

therefore the

<em>width</em><em>=</em>7units

<em>length</em><em>=</em>2+7=9 units

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A circle with area 9 pi, has sector with central angle of 17/9 pi radians
mr_godi [17]

Answer:

The area of the sector is 17/2 π

Step-by-step explanation:

pi = π

To solve this problem we first have to find the fraction that corresponds to this angle of the total, for this we must divide the angle that they give us by 2π radians, since that is the angle of a circle

(17π/9 rad) / (2π rad) = 17/18

Now we multiply the area of ​​the circle by this fraction and we will obtain the area of ​​the sector that we want

9π * 17/18 = 17/2 π

The area of the sector is 17/2 π

3 0
3 years ago
What is the product of (-6.8)^2 a. -13.6 b. 46.24 c. -46.24 d. 13.6
Ilia_Sergeevich [38]
(-6.8)^2 = -6.8 x -6.8 = 46.24
4 0
3 years ago
The probability that your call to a service line is answered in less than 30 seconds is 0.75. Assume that your calls are indepen
e-lub [12.9K]

Answer with Step-by-step explanation:

Since the given event is binary we can use Bernoulli's probability to sove the problem

Thus for an event 'E' with probability of success 'p' the probability that the event occurs 'r' times in 'n' trails is given by

P(E)=\frac{n!}{(n-r)!\cdot r!}\cdot p^{r}\cdot (1-p)^{n-r}

Part a)

For part a n = 11 , r =9, p = 0.75

Applying values we get

P(E)=\frac{11!}{(11-9)!\cdot 9!}\cdot (0.75)^{9}\cdot (1-0.75)^{11-9}\\\\\therefore P(E)=0.2581

Part b)

For part b n = 20 , r = 16 , p=0.75

Applying values we get

P(E)=\frac{20!}{(20-16)!\cdot 16!}\cdot (0.75)^{16}\cdot (1-0.75)^{20-16}\\\\\therefore P(E)=0.1896

3 0
4 years ago
Hello Everybody? Please solve my question:<br><br><br> x^2 + 2 = 4<br><br> What is x?
scoundrel [369]

Answer: x=^2 or x=−^2

Step-by-step explanation: hope this help

8 0
3 years ago
Ebony's gross income is $46 660 with allowable tax deductions of $4120. a What is Ebony's taxable income? b Calculate the amount
jasenka [17]

Answer:

(a) Ebony's taxable income = $42,540

(b) Amount of tax due = $5190.3

(c) Amount of tax owed = $4810.3

Step-by-step explanation:

Ebony's gross income = $46,660 (given)

Allowable tax deductions = $4,120 (given)

(a) Taxable Income = Gross income - Tax deductions

Ebony's taxable income = $46,660 - $4,120

Ebony's taxable income = $42,540

(b) Amount of tax due = 22% of Taxable Income,

Refer to the USA Tax Brackets for 2019 (See Attached image)

Amount of tax due = 10% on first $9,700 + 12% on ($39475-$9700) + 22% on  ($42540-$39475).

Amount of tax due = 10% on first $9,700 + 12% on $29775 + 22% on $3065.

Amount of tax due = $970 + $3573 + $647.3

Amount of tax due = $5190.3

(c) Ebony pays $95 per week in tax. In four weeks (a month), she'd pay

$95 * 4 = $380

Amount of tax owed = Amount of tax due - Amount of tax paid

Amount of tax owed = $5190.3 - $380 = $4810.3

3 0
3 years ago
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