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irga5000 [103]
3 years ago
14

The length of a rectangle is x times the square root of 100. The width is one-half y more than three-halves x. Given that the ar

ea of the rectangle is 125 cm2, which equation could represent the rectangle in terms of x and y?
A) 5xy − 15x = 125
B) 5xy + 15x = 125
C) 15x2 − 5xy = 125
D) 15x2 + 5xy = 125
Mathematics
2 answers:
pashok25 [27]3 years ago
7 0
Area=length x width
A=10x(3/2 x + 1/2 y).
Now Distribute...
A=30x^2/2 + 10xy/2)
Now simplify fractions...
A=15x^2 + 5xy= 125

So I believe your answer is D)
kupik [55]3 years ago
6 0
I think it’s D as well!
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4) because 10 x 10 is 100
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3 years ago
What’s the answer for IJG
Flauer [41]

Answer:

<u>∠IJG = 123° </u>

Step-by-step explanation:

Since AB║CD, EF ║GH, we can use the Corresponding Angles Postulate, for finding the following congruent angles:

∠IKL ≅ ∠EIJ and  ∠EIJ  ≅ ∠GJA

∠GJA and ∠IJG are supplementary, therefore:

∠GJA + ∠IJG = 180°

∠IJG = 180° - 57°

<u>∠IJG = 123°</u>

4 0
3 years ago
Hey please answer the questions on attachment, thank you very much- i need it in 10 minutes and am completely clueless.
nevsk [136]

Answer:

5x+17

Step-by-step explanation:

2(x+7) + 3(x+1)

  1. Distribute(Expand) -> 2x+14 + 3x+3
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7 0
3 years ago
Read 2 more answers
Suppose that only 65% of all drivers in a certain state wear a seat belt. a random sample of 80 drivers is selected. what is the
jonny [76]

Answer:

Pr(X >42) = Pr( Z > -2.344)

                = Pr( Z< 2.344) = 0.9905

Step-by-step explanation:

The scenario presented can be modeled by a binomial model;

The probability of success is, p = 0.65

There are n = 80 independent trials

Let X denote the number of drivers that wear a seat belt, then we are to find the probability that X is greater than 42;

Pr(X > 42)

In this case we can use the normal approximation to the binomial model;

mu = n*p = 80(0.65) = 52

sigma^2 = n*p*(1-p) = 18.2

Pr(X >42) = Pr( Z > -2.344)

                = Pr( Z< 2.344) = 0.9905

7 0
3 years ago
a small plane lands at a point 324 miles east and 92 miles north of the point at which it took off. Find the distance the plane
Setler79 [48]

Answer: 336.80 miles, 15.85^{\circ} North of east

Step-by-step explanation:

Given

Plane lands at a point 324 miles east and 92 miles north

Distance is given by using Pythagoras theorem

\Rightarrow d=\sqrt{324^2+92^2}\\\\\Rightarrow d=\sqrt{113,440}\\\\\Rightarrow d=336.80\ \text{miles}

Direction is given by using figure i.e.

\Rightarrow \tan \theta=\dfrac{92}{324}\\\\\Rightarrow \tan \theta=0.2839\\\\\Rightarrow \theta=15.85^{\circ}

Direction is 15.85^{\circ} North of east

7 0
3 years ago
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