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andreev551 [17]
3 years ago
15

Work out the size of angle x forty two degrees and one hundred and one hundred and twenty three degrees

Mathematics
1 answer:
Snezhnost [94]3 years ago
3 0

Answer:

x = 28

Step-by-step explanation:

With 3 angles I'm guessing its a triangle so all triangles equal 180 degrees

42 + 110 = 152

180 - 152 = 28

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Patients in a hospital are classified as surgical or medical. A record is kept of the number of times patients require nursing s
GREYUIT [131]

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Given:

N= 177\\\\a=46\\\\b=52\\\\c=36\\\\d=43

\to \chi _{1}^{2}=\frac{N(ad-bc)^{2}}{(a+c)(b+d)(a+b)(c+d)}

         =\frac{177((46\times 43)-(52 \times 36))^{2}}{(98)(79)(82)(95)}\\\\=\frac{177((1978)-(1872))^{2}}{60310180}\\\\=\frac{177(106)^{2}}{60310180}\\\\=\frac{177(11236)}{60310180}\\\\=\frac{1988772}{60310180}\\\\= 0.032976

P-value= CHIDIST(0.032976,1) = 0.86.

thus, the surgical-medical patients and Medicare are dependent.

5 0
2 years ago
Hurry pleaseeee taking a test Which expression is equivalent to 30°? Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2
nika2105 [10]

Answer:

Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)

Step-by-step explanation:

According to trigonometry identity;

Cos 30° = √3/2

To get the expression equivalent to 30°, we will take the inverse of both sides as shown;

Cos^-1(cos 30°) = cos^-1(√3/2)

The arccos will cancel out the cos on the left hand side of the equation to have;

30° = cos^-1(√3/2)

Hence 30° is equivalent to inverse of cosine of √3/2 or Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)

8 0
2 years ago
Read 2 more answers
Sean and his family are picking strawberries at a pick-your-own fruit farm. The rectangular strawberry field has an area of 210,
nasty-shy [4]

Answer:

512 ft is the length of the field

Step-by-step explanation:

Firstly, we need to know the area of the field. We have confirmed this to be rectangular. Since it’s a rectangular field, the area of the field can be obtained by multiplying the length of the field by the breadth or width of the field.

Mathematically A = L * W

In the question, A = 210,944 ft^2

L= ? and W = 412ft

In essence, we are trying to calculate the value for the length of the field

L = A/W

L = (210,944)/412 = 512ft

8 0
3 years ago
∠ and ∠ are supplementary angles. If ∠ = (2 − 30)° and ∠ = 4, find the measure of the larger angle
Gala2k [10]

Answer:

We get ∠A =40° and ∠B = 140° and ∠B = 140° is measure of larger angle

Step-by-step explanation:

we have  ∠A = (2x − 30)° and ∠B = 4x, and we need to find measure of larger angle. And ∠A and ∠A are supplementary angles.

If the angles are supplementary there sum is equal to 180° i.e ∠A + ∠B = 180°

So,  First we have to find the value of x. and then we can determine larger angle.

We know: ∠A + ∠B = 180

2x-30+4x=180

6x-30=180

6x=180+30

6x=210

x=210/6

x=35

So, value of x is x=35

Now finding ∠A and ∠B

∠A = (2x − 30)°

∠A = (2(35) − 30)°

∠A = (70 − 30)°

∠A =40°

and ∠B = 4x

∠B = 4(35)

∠B = 140°

So, we get ∠A =40° and ∠B = 140° and ∠B = 140° is measure of larger angle

6 0
3 years ago
What is the range of the function y = |x |?<br> x ≥ 0<br> y ≥ 0<br> all real numbers
Ivahew [28]
The range is the set of values for y.  Since y=|x|, y is always positive and increases without bound as x approaches +oo.  Thus the range is:

y≥0  which can also be expressed as y=[0, +oo)
6 0
2 years ago
Read 2 more answers
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