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Tju [1.3M]
4 years ago
9

The sum of the squares of two positive integers is 90. The product of the two integers is 27. What is the sum of the two integer

s?
Mathematics
1 answer:
polet [3.4K]4 years ago
8 0
The two integers are 3 and 9.
3^2+9^2=90
9*3=27
9+3=12
The sum of the two integers is 12.
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Find m angle TUV if m angle TUN=1+38 pi m angle NUV=66^ m angle TUV=105x
ipn [44]

Answer:

m∠TUV = 105

Step-by-step explanation:

From the question given above, the following data were obtained:

m∠TUN = 1 + 38x

m∠NUV = 66°

m∠TUV = 105x

m∠TUV =?

Next, we shall determine the value of x. This can be obtained as illustrated below:

m∠TUV = m∠TUN + m∠NUV

105x = (1 + 38x) + 66

105x = 1 + 38x + 66

Collect like terms

105x – 38x = 1 + 66

67x = 67

Divide both side by 67

x = 67 / 67

x = 1

Finally, we shall determine the value of m∠TUV. This can be obtained as shown below:

m∠TUV = 105x

x = 1

m∠TUV = 105(1)

m∠TUV = 105

5 0
3 years ago
15. What is the solution to 3x - 52 28?
Pani-rosa [81]

Answer:

x> 30

Step-by-step explanation:

+ First, is the inequation 3x - 52 > 28.

+ If Yes, so we can solve:

3x - 52 > 28

3x - 52 + 52 > 28 +52

3x > 90

3x/3 > 90/3 (divide both sides by 3>0)

x > 30

4 0
3 years ago
10m^3 of air weigh 13 kg.
Lemur [1.5K]

49.686‬ kg

Step-by-step explanation:

Since the density of the air remains constant in the question

We can represent this equation as a ratio;

10 m³ =  13 kg

(4.2 * 3.5 * 2.6)  m³ = ? (x) kg

4.2 * 3.5 * 2.6 = 38.22

We cross multiply

38.22 * 13 = 10 * x

X = 496.86‬ /10

X = 49.686‬

Learn More:

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3 0
3 years ago
A grocery store sells a bag of 4 oranges for $2.84. If Arianna spent $3.55 on oranges,
zhannawk [14.2K]
$4/3=$1.33 per pound.
$9/8 = $1.13 per pound.
The second one is cheaper.
3 0
3 years ago
Read 2 more answers
The average cost of tuition, room and board at small private liberal arts colleges is reported to be $8,500 per term, but a fina
Vlada [557]

Answer:

The test statistic for this test is 3.82.

Step-by-step explanation:

The null hypothesis is:

H_{0} = 8500

The alternate hypotesis is:

H_{1} > 8500

Our test statistic is:

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation of the population and n is the size of the sample.

In this question:

X = 8745, \mu = 8500, \sigma = 1200, n = 350

So

t = \frac{8745 - 8500}{\frac{1200}{\sqrt{350}}} = 3.82

The test statistic for this test is 3.82.

5 0
4 years ago
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