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skad [1K]
3 years ago
12

Find both inequality 2c-7\>9 and 5d+7/<32

Mathematics
1 answer:
solong [7]3 years ago
3 0
2c -7 >= 9 

2c >= 16

c >= 8

5d + 7 <= 32

5d <= 25

d <= 5

normal arthematic except diving over -1 or flipping (taking inverse -1) flips the operator 

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Which statements about finding the area of the equilateral triangle are true? Check all that apply.
lara31 [8.8K]

Answer:

The correct options are 1, 2 and 4.

Step-by-step explanation:

The given triangle is an equilateral triangle. All the sides of an equilateral triangle are same. All interior angles are equal with measure 60 degree.

The distance from the center of an equilateral triangle to the midpoint of a side is known as apothem. In the given figure letter a represents the apothem.

Point D is the midpoint of BC,

b=\frac{BC}{2}=\frac{8.7}{2}=4.35

Use Pythagorean theorem in triangle COD. So, option 1 is correct.

OC^2=OD^2+DC^2

5^2=a^2+(4.35)^2

25=a^2+18.9225

a=\pm 2.46526

a\approx\pm 2.5

The distance can not be negative, so the length of the apothem is approximately 2.5 cm. Option 4 is correct.

The line OC bisects the angle C.

tan(30^{\circ})=\frac{a}{b}

\frac{1}{\sqrt{3}=\frac{a}{4.35}

a\approx\pm 2.5

Therefore option 2 is correct.

The perimeter of an equality triangle is

P=3a=3(8.7)=26.1

Option 3 is incorrect.

A=\frac{\sqrt{3}}{4}a^2=\frac{\sqrt{3}}{4}(8.7)^2=32.77

Option 5 is incorrect.

Therefore options 1, 2 and 4 are correct.

3 0
3 years ago
Read 2 more answers
How do you find largest angle​
harina [27]

Answer:

It depends what the other angles are but you take the two add them together and then you subtract it from 360 (IF ITS A QUADRILATERAL) for all other shapes the angles add up to 180

Step-by-step explanation:

4 0
3 years ago
Given a mean of 150 and a standard deviation of 25 Define the interval about the mean that contains 95% of the data.
ohaa [14]
By normal curve symmetry 

<span>from normal table </span>
<span>we have z = 1.15 , z = -1.15 </span>

<span>z = (x - mean) / sigma </span>
<span>1.15 = (x - 150) / 25 </span>
<span>x = 178.75 </span>


<span>z = (x - mean) / sigma </span>
<span>-1.15 = (x - 150) / 25 </span>
<span>x = 121.25 </span>

<span>interval is (121.25 , 178.75) </span>

<span>Pr((121.25-150)/25 < x < (178.75-150)/25) </span>
<span>is about 75%</span>
7 0
3 years ago
A survey of physicians in 1979 found that some doctors give a placebo to patients who complain of pain for which the physician c
lisov135 [29]
Below are the few reasons:

- There may have been a physical basis and yet the placebo can seem like it worked due to the patients mindset that they will get better. 
<span>- Also, the doctors must not tell the patient that they will be taking a placebo. They must assure the patient that the "pill" will cure their problems.</span>
5 0
3 years ago
5x-2y=30 complete the missing value in the solution to the question (8, )
natali 33 [55]

Answer:

(8,5)

Step-by-step explanation:

5x-2y=30

lets substitute "8" as x and see where that takes us

5(8)-2y=30

40-2y=30

subtract 40 on both sides

-2y=-10

divide by "-2" on both sides

y=5

(8,5) is your answer

4 0
3 years ago
Read 2 more answers
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